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
1402.0099
Louis Theran
Franz J. Kir\'aly, Martin Kreuzer, and Louis Theran
Dual-to-kernel learning with ideals
15 pages, 1 figure
null
null
null
stat.ML cs.LG math.AC math.AG math.ST stat.TH
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we propose a theory which unifies kernel learning and symbolic algebraic methods. We show that both worlds are inherently dual to each other, and we use this duality to combine the structure-awareness of algebraic methods with the efficiency and generality of kernels. The main idea lies in relating polynomial rings to feature space, and ideals to manifolds, then exploiting this generative-discriminative duality on kernel matrices. We illustrate this by proposing two algorithms, IPCA and AVICA, for simultaneous manifold and feature learning, and test their accuracy on synthetic and real world data.
[ { "created": "Sat, 1 Feb 2014 16:38:59 GMT", "version": "v1" } ]
2014-02-04
[ [ "Király", "Franz J.", "" ], [ "Kreuzer", "Martin", "" ], [ "Theran", "Louis", "" ] ]
[ -0.047224950045347214, -0.07132087647914886, -0.020437272265553474, -0.027453571557998657, 0.0005361735820770264, -0.0371708944439888, -0.00805635005235672, -0.03789620101451874, -0.0076872860081493855, 0.005889906547963619, 0.027286197990179062, 0.017290381714701653, -0.013633557595312595, -0.02119067870080471, -0.01293114386498928, 0.031580787152051926, 0.02424243837594986, 0.1322171986103058, 0.012761944904923439, 0.004250449128448963, -0.02303110621869564, 0.008345783688127995, -0.05434451252222061, 0.0014171741204336286, 0.11809007823467255, 0.07856224477291107, 0.07304533571004868, 0.07593215256929398, -0.05194041505455971, -0.018903391435742378, 0.05669577792286873, 0.08325587213039398, -0.05701519921422005, -0.035178277641534805, -0.0898178219795227, 0.08018248528242111, 0.015041128732264042, 0.09971088171005249, -0.02967926114797592, -0.049109164625406265, -0.011552296578884125, -0.04772987216711044, -0.008844728581607342, 0.028351139277219772, 0.07833319902420044, 0.09087198972702026, -0.01975780725479126, -0.08631550520658493, 0.06880780309438705, -0.04912679269909859, -0.044434525072574615, 0.016267478466033936, -0.05690271779894829, 0.07888705283403397, 0.05346503481268883, -0.051809754222631454, -0.012127254158258438, 0.004207826219499111, 0.025581758469343185, 0.06283094733953476, 0.026415714994072914, -0.06874890625476837, -0.04603395238518715, 0.06573740392923355, 0.01393031608313322, -0.014819988049566746, 0.061047136783599854, 0.028652669861912727, -0.0282751377671957, 0.005514994729310274, -0.03029102273285389, 0.08209753781557083, -0.0834851861000061, 0.03674206882715225, 0.014858006499707699, 0.03075329028069973, -0.016437256708741188, -0.034085340797901154, 0.041001200675964355, -0.00040972582064568996, 0.02784022130072117, 0.07541395723819733, 0.01797974668443203, -0.06831131130456924, 0.09540652483701706, 0.036216214299201965, 0.011653625406324863, 0.05166741460561752, 0.029667500406503677, -0.012436836957931519, 0.055094171315431595, -0.0033929571509361267, -0.005829234141856432, -0.03373657912015915, -0.06610243022441864, -0.05623813718557358, 0.007491823751479387, 0.01499293651431799, 0.042425487190485, 0.09605012834072113, 0.012865643016994, -0.04553205147385597, -0.011407854035496712, 0.005959664937108755, 0.06839008629322052, -0.009398181922733784, -0.0007773812394589186, -0.02920638956129551, 0.0695347785949707, -0.10390772670507431, 0.002619795501232147, -0.03954439237713814, -0.12988050282001495, 0.007376737426966429, -0.027849096804857254, 0.04809938371181488, 0.037164025008678436, 0.06321840733289719, 0.09667601436376572, 0.009341462515294552, -0.06927135586738586, -0.054335303604602814, 0.045869696885347366, 0.02316698431968689, 0.03468620777130127, -0.10027486830949783, -0.0955623909831047, 2.299262588022327e-34, 0.05884016305208206, 0.03261035308241844, 0.02243887446820736, -0.050896305590867996, 0.003649698803201318, -0.033088237047195435, -0.009600142017006874, -0.04691176116466522, 0.09098824858665466, 0.047932982444763184, -0.008925225585699081, 0.00020194290846120566, 0.02609752118587494, 0.1077737808227539, 0.007355186622589827, 0.047493644058704376, 0.023432262241840363, -0.007252449635416269, -0.0158230047672987, -0.06000538915395737, 0.0409868061542511, -0.015264374203979969, 0.0005624968325719237, 0.009410419501364231, -0.0474451445043087, 0.03001854568719864, 0.01684953086078167, 0.016929201781749725, 0.023735854774713516, 0.011926347389817238, -0.04514447599649429, 0.015255415812134743, -0.04079306870698929, 0.0880536437034607, 0.017861101776361465, -0.01843421906232834, -0.018983982503414154, -0.035052862018346786, -0.0010694898664951324, -0.04783014953136444, -0.02565370500087738, -0.04198119789361954, 0.08704297244548798, -0.07008951902389526, -0.036502961069345474, 0.060722917318344116, -0.010641834698617458, -0.013036582618951797, -0.008062340319156647, -0.01839001290500164, -0.0017827465198934078, -0.0037778769619762897, -0.035074383020401, -0.0027363768313080072, -0.037435851991176605, 0.0842180997133255, -0.0645277127623558, -0.010830835439264774, 0.04184526205062866, 0.02418924868106842, -0.13863147795200348, 0.01793997548520565, -0.011105130426585674, -0.10935431718826294, -0.15514370799064636, 0.06848575174808502, 0.016005681827664375, -0.07791120558977127, 0.04701435938477516, 0.0927707776427269, -0.027193620800971985, 0.040773067623376846, -0.043695248663425446, -0.12158624827861786, 0.008964914828538895, 0.048662882298231125, 0.04689301550388336, -0.09398854523897171, -0.00621015252545476, 0.06461357325315475, -0.046476613730192184, 0.05544622242450714, 0.0535271093249321, -0.020995458588004112, 0.0020420104265213013, -0.039231687784194946, -0.011584565043449402, -0.021004464477300644, -0.029112378135323524, -0.030330447480082512, -0.11364828795194626, 0.06488469243049622, -0.032798685133457184, -0.039982669055461884, 0.05384443327784538, -2.2226845952782762e-33, 0.05315893143415451, -0.001452943542972207, 0.021175354719161987, 0.009841883555054665, -0.036265648901462555, -0.03882572054862976, -0.06543310731649399, 0.03884933888912201, -0.07433879375457764, -0.05820180103182793, 0.03637022152543068, -0.017133207991719246, -0.05066188797354698, -0.014455700293183327, 0.058403778821229935, 0.04331841319799423, -0.06036798655986786, -0.040124889463186264, -0.019546033814549446, -0.0007267931941896677, -0.08819270879030228, 0.13384005427360535, -0.031860291957855225, -0.002037821104750037, -0.046524520963430405, -0.03221988305449486, -0.0032237565610557795, 0.04775865375995636, -0.029182370752096176, 0.028600139543414116, 0.025009889155626297, -0.11598952114582062, -0.08453989773988724, 0.004149925895035267, -0.017539165914058685, 0.0659400224685669, -0.030864255502820015, -0.05262524262070656, 0.004306418355554342, 0.09023109823465347, -0.025441639125347137, 0.03007330186665058, -0.0632307156920433, -0.009906315244734287, -0.030139213427901268, -0.07398749887943268, 0.006218657363206148, 0.03123038448393345, 0.048904869705438614, 0.0010151226306334138, 0.04105008393526077, 0.05625099688768387, -0.02996627241373062, -0.022334741428494453, -0.019846387207508087, -0.038469597697257996, 0.03543493524193764, -0.006677872035652399, 0.02135653607547283, -0.010758066549897194, -0.02669605240225792, -0.10529537498950958, 0.031262073665857315, 0.036318350583314896, -0.018711213022470474, -0.015356751158833504, -0.004031715914607048, -0.02200101688504219, -0.027247078716754913, 0.07618553936481476, 0.000012344727110757958, -0.017345422878861427, -0.0752945989370346, 0.02322262153029442, 0.0140302162617445, -0.05358878895640373, 0.048098914325237274, 0.04941460117697716, 0.007985290139913559, -0.01736069656908512, 0.12375092506408691, -0.04819546639919281, 0.08051525056362152, 0.0692649856209755, 0.009764699265360832, 0.08862069994211197, 0.03671998903155327, -0.06160634756088257, 0.06457608193159103, -0.1397472620010376, 0.037671033293008804, 0.06908070296049118, -0.014795895665884018, 0.1358698159456253, -0.024097902700304985, -3.830249184488821e-8, -0.02173497900366783, -0.029609480872750282, 0.016123395413160324, -0.050136469304561615, 0.05531073361635208, -0.04391511157155037, 0.01678762026131153, 0.09824566543102264, -0.09621012955904007, -0.01464160718023777, -0.010428845882415771, 0.05025136470794678, -0.06580066680908203, -0.035994209349155426, 0.029166189953684807, -0.007455145008862019, 0.016216693446040154, 0.05719397962093353, -0.04014086350798607, -0.024937789887189865, 0.04404979944229126, 0.011363091878592968, -0.025558823719620705, -0.02724151872098446, 0.03903094306588173, -0.06004053354263306, 0.03494593873620033, 0.04254329949617386, 0.05903320014476776, 0.07152826339006424, -0.0287114717066288, 0.0029772664420306683, -0.08123403787612915, -0.014578701928257942, 0.08458294719457626, 0.049496881663799286, 0.013572456315159798, -0.07215992361307144, -0.04393288493156433, 0.005696920212358236, -0.013466523960232735, 0.028066543862223625, -0.01035496685653925, 0.023754609748721123, 0.04692692309617996, 0.05910976976156235, 0.11546348035335541, -0.04970979318022728, -0.053407084196805954, 0.08898963034152985, 0.06964648514986038, 0.07238498330116272, 0.00990576483309269, 0.01627408154308796, 0.031902413815259933, -0.018127385526895523, -0.049057602882385254, -0.02627451904118061, -0.03545304387807846, 0.024967743083834648, -0.05718936026096344, 0.007700924761593342, 0.003599918447434902, -0.04262198135256767 ]
null
null
null
null
null
null
null
[ -0.047224950045347214, -0.07132087647914886, -0.020437272265553474, -0.027453571557998657, 0.0005361735820770264, -0.0371708944439888, -0.00805635005235672, -0.03789620101451874, -0.0076872860081493855, 0.005889906547963619, 0.027286197990179062, 0.017290381714701653, -0.013633557595312595, -0.02119067870080471, -0.01293114386498928, 0.031580787152051926, 0.02424243837594986, 0.1322171986103058, 0.012761944904923439, 0.004250449128448963, -0.02303110621869564, 0.008345783688127995, -0.05434451252222061, 0.0014171741204336286, 0.11809007823467255, 0.07856224477291107, 0.07304533571004868, 0.07593215256929398, -0.05194041505455971, -0.018903391435742378, 0.05669577792286873, 0.08325587213039398, -0.05701519921422005, -0.035178277641534805, -0.0898178219795227, 0.08018248528242111, 0.015041128732264042, 0.09971088171005249, -0.02967926114797592, -0.049109164625406265, -0.011552296578884125, -0.04772987216711044, -0.008844728581607342, 0.028351139277219772, 0.07833319902420044, 0.09087198972702026, -0.01975780725479126, -0.08631550520658493, 0.06880780309438705, -0.04912679269909859, -0.044434525072574615, 0.016267478466033936, -0.05690271779894829, 0.07888705283403397, 0.05346503481268883, -0.051809754222631454, -0.012127254158258438, 0.004207826219499111, 0.025581758469343185, 0.06283094733953476, 0.026415714994072914, -0.06874890625476837, -0.04603395238518715, 0.06573740392923355, 0.01393031608313322, -0.014819988049566746, 0.061047136783599854, 0.028652669861912727, -0.0282751377671957, 0.005514994729310274, -0.03029102273285389, 0.08209753781557083, -0.0834851861000061, 0.03674206882715225, 0.014858006499707699, 0.03075329028069973, -0.016437256708741188, -0.034085340797901154, 0.041001200675964355, -0.00040972582064568996, 0.02784022130072117, 0.07541395723819733, 0.01797974668443203, -0.06831131130456924, 0.09540652483701706, 0.036216214299201965, 0.011653625406324863, 0.05166741460561752, 0.029667500406503677, -0.012436836957931519, 0.055094171315431595, -0.0033929571509361267, -0.005829234141856432, -0.03373657912015915, -0.06610243022441864, -0.05623813718557358, 0.007491823751479387, 0.01499293651431799, 0.042425487190485, 0.09605012834072113, 0.012865643016994, -0.04553205147385597, -0.011407854035496712, 0.005959664937108755, 0.06839008629322052, -0.009398181922733784, -0.0007773812394589186, -0.02920638956129551, 0.0695347785949707, -0.10390772670507431, 0.002619795501232147, -0.03954439237713814, -0.12988050282001495, 0.007376737426966429, -0.027849096804857254, 0.04809938371181488, 0.037164025008678436, 0.06321840733289719, 0.09667601436376572, 0.009341462515294552, -0.06927135586738586, -0.054335303604602814, 0.045869696885347366, 0.02316698431968689, 0.03468620777130127, -0.10027486830949783, -0.0955623909831047, 2.299262588022327e-34, 0.05884016305208206, 0.03261035308241844, 0.02243887446820736, -0.050896305590867996, 0.003649698803201318, -0.033088237047195435, -0.009600142017006874, -0.04691176116466522, 0.09098824858665466, 0.047932982444763184, -0.008925225585699081, 0.00020194290846120566, 0.02609752118587494, 0.1077737808227539, 0.007355186622589827, 0.047493644058704376, 0.023432262241840363, -0.007252449635416269, -0.0158230047672987, -0.06000538915395737, 0.0409868061542511, -0.015264374203979969, 0.0005624968325719237, 0.009410419501364231, -0.0474451445043087, 0.03001854568719864, 0.01684953086078167, 0.016929201781749725, 0.023735854774713516, 0.011926347389817238, -0.04514447599649429, 0.015255415812134743, -0.04079306870698929, 0.0880536437034607, 0.017861101776361465, -0.01843421906232834, -0.018983982503414154, -0.035052862018346786, -0.0010694898664951324, -0.04783014953136444, -0.02565370500087738, -0.04198119789361954, 0.08704297244548798, -0.07008951902389526, -0.036502961069345474, 0.060722917318344116, -0.010641834698617458, -0.013036582618951797, -0.008062340319156647, -0.01839001290500164, -0.0017827465198934078, -0.0037778769619762897, -0.035074383020401, -0.0027363768313080072, -0.037435851991176605, 0.0842180997133255, -0.0645277127623558, -0.010830835439264774, 0.04184526205062866, 0.02418924868106842, -0.13863147795200348, 0.01793997548520565, -0.011105130426585674, -0.10935431718826294, -0.15514370799064636, 0.06848575174808502, 0.016005681827664375, -0.07791120558977127, 0.04701435938477516, 0.0927707776427269, -0.027193620800971985, 0.040773067623376846, -0.043695248663425446, -0.12158624827861786, 0.008964914828538895, 0.048662882298231125, 0.04689301550388336, -0.09398854523897171, -0.00621015252545476, 0.06461357325315475, -0.046476613730192184, 0.05544622242450714, 0.0535271093249321, -0.020995458588004112, 0.0020420104265213013, -0.039231687784194946, -0.011584565043449402, -0.021004464477300644, -0.029112378135323524, -0.030330447480082512, -0.11364828795194626, 0.06488469243049622, -0.032798685133457184, -0.039982669055461884, 0.05384443327784538, -2.2226845952782762e-33, 0.05315893143415451, -0.001452943542972207, 0.021175354719161987, 0.009841883555054665, -0.036265648901462555, -0.03882572054862976, -0.06543310731649399, 0.03884933888912201, -0.07433879375457764, -0.05820180103182793, 0.03637022152543068, -0.017133207991719246, -0.05066188797354698, -0.014455700293183327, 0.058403778821229935, 0.04331841319799423, -0.06036798655986786, -0.040124889463186264, -0.019546033814549446, -0.0007267931941896677, -0.08819270879030228, 0.13384005427360535, -0.031860291957855225, -0.002037821104750037, -0.046524520963430405, -0.03221988305449486, -0.0032237565610557795, 0.04775865375995636, -0.029182370752096176, 0.028600139543414116, 0.025009889155626297, -0.11598952114582062, -0.08453989773988724, 0.004149925895035267, -0.017539165914058685, 0.0659400224685669, -0.030864255502820015, -0.05262524262070656, 0.004306418355554342, 0.09023109823465347, -0.025441639125347137, 0.03007330186665058, -0.0632307156920433, -0.009906315244734287, -0.030139213427901268, -0.07398749887943268, 0.006218657363206148, 0.03123038448393345, 0.048904869705438614, 0.0010151226306334138, 0.04105008393526077, 0.05625099688768387, -0.02996627241373062, -0.022334741428494453, -0.019846387207508087, -0.038469597697257996, 0.03543493524193764, -0.006677872035652399, 0.02135653607547283, -0.010758066549897194, -0.02669605240225792, -0.10529537498950958, 0.031262073665857315, 0.036318350583314896, -0.018711213022470474, -0.015356751158833504, -0.004031715914607048, -0.02200101688504219, -0.027247078716754913, 0.07618553936481476, 0.000012344727110757958, -0.017345422878861427, -0.0752945989370346, 0.02322262153029442, 0.0140302162617445, -0.05358878895640373, 0.048098914325237274, 0.04941460117697716, 0.007985290139913559, -0.01736069656908512, 0.12375092506408691, -0.04819546639919281, 0.08051525056362152, 0.0692649856209755, 0.009764699265360832, 0.08862069994211197, 0.03671998903155327, -0.06160634756088257, 0.06457608193159103, -0.1397472620010376, 0.037671033293008804, 0.06908070296049118, -0.014795895665884018, 0.1358698159456253, -0.024097902700304985, -3.830249184488821e-8, -0.02173497900366783, -0.029609480872750282, 0.016123395413160324, -0.050136469304561615, 0.05531073361635208, -0.04391511157155037, 0.01678762026131153, 0.09824566543102264, -0.09621012955904007, -0.01464160718023777, -0.010428845882415771, 0.05025136470794678, -0.06580066680908203, -0.035994209349155426, 0.029166189953684807, -0.007455145008862019, 0.016216693446040154, 0.05719397962093353, -0.04014086350798607, -0.024937789887189865, 0.04404979944229126, 0.011363091878592968, -0.025558823719620705, -0.02724151872098446, 0.03903094306588173, -0.06004053354263306, 0.03494593873620033, 0.04254329949617386, 0.05903320014476776, 0.07152826339006424, -0.0287114717066288, 0.0029772664420306683, -0.08123403787612915, -0.014578701928257942, 0.08458294719457626, 0.049496881663799286, 0.013572456315159798, -0.07215992361307144, -0.04393288493156433, 0.005696920212358236, -0.013466523960232735, 0.028066543862223625, -0.01035496685653925, 0.023754609748721123, 0.04692692309617996, 0.05910976976156235, 0.11546348035335541, -0.04970979318022728, -0.053407084196805954, 0.08898963034152985, 0.06964648514986038, 0.07238498330116272, 0.00990576483309269, 0.01627408154308796, 0.031902413815259933, -0.018127385526895523, -0.049057602882385254, -0.02627451904118061, -0.03545304387807846, 0.024967743083834648, -0.05718936026096344, 0.007700924761593342, 0.003599918447434902, -0.04262198135256767 ]
1402.0106
Leonid V. Verozub
Leonid Verozub
Properties of gravity near the Schwarzschild radius
10 pages, 6 figures
null
null
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The radius of the observable region of the Universe is of the order of its Schwarzschild radius. Due to the spherical symmetry, this allows to check the properties of the gravitational force in the vicinity of the Schwarzschild radius by comparing the theoretical and observed Hubble diagram at high redshifts. This can be done in a simple model that fellows from projective-invariant equations of gravitation.This paper shows that the Hubble diagram up to $z=8$ testifies in favor of the specific properties of gravity near and inside of the Schwarzschild radius.
[ { "created": "Sat, 1 Feb 2014 17:38:05 GMT", "version": "v1" }, { "created": "Fri, 14 Feb 2014 22:19:18 GMT", "version": "v2" }, { "created": "Thu, 20 Feb 2014 18:56:38 GMT", "version": "v3" }, { "created": "Tue, 4 Mar 2014 14:06:15 GMT", "version": "v4" } ]
2014-03-05
[ [ "Verozub", "Leonid", "" ] ]
[ 0.023064512759447098, 0.026344982907176018, -0.013573084957897663, 0.04885609820485115, 0.0575672872364521, 0.04291278496384621, -0.0772356167435646, 0.0928112044930458, 0.03397152200341225, -0.05943577364087105, 0.025713687762618065, 0.016339892521500587, -0.05444783717393875, 0.03981030732393265, -0.003725008573383093, -0.15100884437561035, 0.09160467982292175, -0.030470700934529305, -0.1017436683177948, -0.060728635638952255, 0.011747139506042004, 0.03074849769473076, 0.013145463541150093, 0.048037707805633545, -0.008718560449779034, -0.09111247211694717, -0.0003103053313679993, 0.000029664204703294672, -0.0612887367606163, -0.010806496255099773, -0.030022209510207176, -0.029760301113128662, 0.037855636328458786, -0.04010087251663208, 0.05275864899158478, 0.07248034328222275, 0.09232605248689651, -0.04354620352387428, 0.01699141412973404, -0.05557939037680626, -0.0015069793444126844, 0.027023453265428543, 0.08756837993860245, 0.06461070477962494, 0.04336610063910484, 0.026697883382439613, -0.00865080300718546, 0.040132924914360046, -0.03101566806435585, 0.0037855873815715313, -0.009053322486579418, -0.011769942007958889, 0.010473721660673618, 0.029569054022431374, 0.07537522166967392, 0.007384448777884245, 0.024624302983283997, -0.12832526862621307, 0.043133366852998734, -0.10652567446231842, 0.020300503820180893, -0.04828048497438431, 0.0069759623147547245, -0.01769110932946205, -0.04711543023586273, -0.030757339671254158, 0.0019253600621595979, -0.09517110139131546, -0.13216851651668549, 0.05188673734664917, -0.02721625752747059, 0.08992740511894226, -0.009265503846108913, -0.08926767855882645, 0.05360403656959534, -0.011228308081626892, 0.011196998879313469, -0.028456399217247963, 0.06959142535924911, -0.06178482994437218, -0.025933708995580673, 0.045873887836933136, -0.04232426732778549, 0.06586218625307083, -0.07524687051773071, -0.025129957124590874, -0.0021247402764856815, -0.07266749441623688, 0.03266239911317825, 0.010228898376226425, 0.03727281466126442, 0.029453551396727562, -0.07093294709920883, -0.06303936243057251, -0.06288708746433258, -0.01912844367325306, -0.013598335906863213, -0.0709538459777832, 0.01054644025862217, 0.039956700056791306, 0.035429809242486954, -0.06957130134105682, 0.07417429238557816, 0.011443283408880234, 0.008060614578425884, 0.05956688150763512, 0.004357384517788887, -0.06467612087726593, 0.04580298811197281, 0.008446969091892242, 0.061370719224214554, -0.004286827519536018, 0.0387842059135437, -0.001228678273037076, -0.03824760764837265, -0.01477227732539177, 0.07756036520004272, 0.06059972941875458, -0.0667344480752945, 0.02325989305973053, -0.015421625226736069, 0.05542580410838127, 0.05336186662316322, -0.004053563345223665, -0.012861459515988827, -0.009220842272043228, -0.05443090572953224, 2.443848163584728e-34, 0.05143281817436218, -0.02745911478996277, -0.015010789968073368, 0.057651255279779434, 0.08024179190397263, 0.02029147371649742, -0.023516224697232246, 0.11952775716781616, 0.05261119827628136, -0.028183313086628914, -0.030661040917038918, 0.029880667105317116, 0.02676090970635414, -0.05737175792455673, -0.03804877772927284, 0.06954784691333771, 0.015141945332288742, 0.04189678281545639, -0.013529852963984013, -0.0008304679067805409, -0.04844900965690613, -0.053404830396175385, -0.04470471292734146, 0.006232087500393391, 0.014452571980655193, 0.0650489330291748, 0.008840308524668217, 0.04947832599282265, -0.041409123688936234, -0.03133074939250946, -0.016071012243628502, 0.02722851373255253, -0.03603510186076164, 0.03709312155842781, -0.04726221039891243, 0.030695317313075066, 0.012645249255001545, -0.013343029655516148, -0.051876917481422424, -0.07081802934408188, 0.03571698069572449, -0.022410409525036812, -0.09406095743179321, -0.0072961850091814995, 0.06812169402837753, 0.03508562222123146, 0.027221737429499626, -0.10421928018331528, 0.051487840712070465, 0.09232768416404724, 0.08469989150762558, 0.03848385810852051, -0.06255839765071869, 0.01367289200425148, -0.02471727877855301, -0.0012834956869482994, -0.07903936505317688, -0.016529560089111328, -0.014204379171133041, 0.07922986149787903, 0.02228444628417492, 0.021144604310393333, 0.07769282162189484, -0.015305431559681892, -0.02125421352684498, -0.008776742033660412, -0.09117984771728516, -0.050473786890506744, -0.03531840816140175, 0.022758524864912033, -0.013189435005187988, 0.04463079199194908, 0.04507434740662575, 0.11780261993408203, -0.06816432625055313, -0.03755715489387512, 0.004600954242050648, -0.041035331785678864, 0.057226087898015976, -0.020181838423013687, -0.05078352615237236, -0.04899897798895836, 0.014366254210472107, -0.014860480092465878, -0.06383268535137177, -0.015281736850738525, -0.06651026010513306, 0.00818981695920229, -0.0014184064930304885, -0.12708912789821625, -0.014574156142771244, -0.0496043898165226, 0.08277194947004318, -0.07690347731113434, -0.038975633680820465, -3.3351430615377186e-33, -0.03554356098175049, 0.0061332606710493565, -0.00904671661555767, 0.03961503505706787, 0.020760202780365944, -0.0015060575678944588, -0.03898988664150238, 0.0422251932322979, -0.12567654252052307, -0.07391969114542007, 0.01333720050752163, 0.0032972556073218584, 0.0016570325242355466, 0.008389217779040337, 0.081048384308815, 0.029893938452005386, 0.0609055832028389, -0.033649198710918427, -0.07720441371202469, 0.024322934448719025, 0.09368810802698135, -0.07675854861736298, 0.033778876066207886, 0.008006978780031204, -0.01465899683535099, -0.024004153907299042, 0.04604047164320946, -0.04691582918167114, -0.037939462810754776, 0.0934169590473175, 0.028092551976442337, -0.026465363800525665, -0.05403584986925125, 0.06621922552585602, -0.053899891674518585, -0.05436417832970619, -0.0556325763463974, -0.016825374215841293, -0.09737693518400192, 0.037291307002305984, -0.044778045266866684, 0.07855699211359024, -0.016147395595908165, 0.009604462422430515, 0.010978389531373978, 0.009454580023884773, 0.07828446477651596, 0.10520525276660919, 0.02343697100877762, -0.0011985298478975892, -0.015715794637799263, -0.05900393798947334, 0.03885341063141823, 0.011961621232330799, -0.09701753407716751, 0.08510729670524597, 0.038946449756622314, 0.05274967476725578, 0.041686736047267914, 0.011789527721703053, -0.05450208857655525, 0.018364205956459045, 0.08772392570972443, 0.05918564647436142, -0.0558139942586422, -0.014847764745354652, 0.019373105838894844, 0.05528608337044716, 0.02775009348988533, 0.06430977582931519, -0.033097587525844574, -0.013210025615990162, 0.03538532555103302, 0.08154544979333878, -0.01786073110997677, 0.10383579879999161, 0.1480552852153778, -0.013272305950522423, 0.07168930023908615, -0.0018393710488453507, -0.004111901391297579, 0.030531270429491997, 0.10189126431941986, 0.029470039531588554, 0.027065956965088844, -0.05789783224463463, -0.03613562136888504, -0.04969753697514534, 0.05602209270000458, 0.073785200715065, -0.12060834467411041, 0.0217177364975214, -0.017724065110087395, -0.023376530036330223, 0.017881466075778008, -4.307476686449263e-8, 0.02158946916460991, -0.008173000998795033, -0.023616371676325798, 0.040155332535505295, -0.10457658767700195, 0.015156548470258713, -0.013528043404221535, -0.030303362756967545, -0.05849221348762512, 0.00004993302718503401, 0.015566730871796608, 0.0007603382109664381, -0.08478914946317673, 0.057618238031864166, 0.004184122197329998, 0.044999267905950546, 0.013447628356516361, -0.004970411770045757, -0.048050809651613235, 0.10683368146419525, -0.04186880216002464, 0.04554792493581772, 0.024022627621889114, -0.03804871067404747, 0.039012182503938675, -0.02539367973804474, -0.09518874436616898, 0.04639128968119621, -0.06807078421115875, -0.009404151700437069, 0.03328679874539375, 0.0333227701485157, -0.03529639542102814, 0.00844517070800066, -0.008744788356125355, -0.003941269125789404, -0.047963012009859085, 0.037187788635492325, -0.010214732959866524, 0.04047330096364021, 0.07521738857030869, 0.01590552367269993, -0.026587676256895065, -0.030303046107292175, -0.011427955701947212, 0.005897839087992907, -0.034914713352918625, -0.10417702049016953, -0.009907985106110573, 0.07057425379753113, -0.07553011178970337, 0.05978738144040108, -0.08185862749814987, -0.025951797142624855, -0.02202741429209709, -0.037099439650774, -0.028182443231344223, 0.022499730810523033, -0.11882377415895462, 0.03078334592282772, 0.021534958854317665, 0.013540515676140785, -0.02543073520064354, 0.0032129078172147274 ]
null
null
null
null
null
null
null
[ 0.023064512759447098, 0.026344982907176018, -0.013573084957897663, 0.04885609820485115, 0.0575672872364521, 0.04291278496384621, -0.0772356167435646, 0.0928112044930458, 0.03397152200341225, -0.05943577364087105, 0.025713687762618065, 0.016339892521500587, -0.05444783717393875, 0.03981030732393265, -0.003725008573383093, -0.15100884437561035, 0.09160467982292175, -0.030470700934529305, -0.1017436683177948, -0.060728635638952255, 0.011747139506042004, 0.03074849769473076, 0.013145463541150093, 0.048037707805633545, -0.008718560449779034, -0.09111247211694717, -0.0003103053313679993, 0.000029664204703294672, -0.0612887367606163, -0.010806496255099773, -0.030022209510207176, -0.029760301113128662, 0.037855636328458786, -0.04010087251663208, 0.05275864899158478, 0.07248034328222275, 0.09232605248689651, -0.04354620352387428, 0.01699141412973404, -0.05557939037680626, -0.0015069793444126844, 0.027023453265428543, 0.08756837993860245, 0.06461070477962494, 0.04336610063910484, 0.026697883382439613, -0.00865080300718546, 0.040132924914360046, -0.03101566806435585, 0.0037855873815715313, -0.009053322486579418, -0.011769942007958889, 0.010473721660673618, 0.029569054022431374, 0.07537522166967392, 0.007384448777884245, 0.024624302983283997, -0.12832526862621307, 0.043133366852998734, -0.10652567446231842, 0.020300503820180893, -0.04828048497438431, 0.0069759623147547245, -0.01769110932946205, -0.04711543023586273, -0.030757339671254158, 0.0019253600621595979, -0.09517110139131546, -0.13216851651668549, 0.05188673734664917, -0.02721625752747059, 0.08992740511894226, -0.009265503846108913, -0.08926767855882645, 0.05360403656959534, -0.011228308081626892, 0.011196998879313469, -0.028456399217247963, 0.06959142535924911, -0.06178482994437218, -0.025933708995580673, 0.045873887836933136, -0.04232426732778549, 0.06586218625307083, -0.07524687051773071, -0.025129957124590874, -0.0021247402764856815, -0.07266749441623688, 0.03266239911317825, 0.010228898376226425, 0.03727281466126442, 0.029453551396727562, -0.07093294709920883, -0.06303936243057251, -0.06288708746433258, -0.01912844367325306, -0.013598335906863213, -0.0709538459777832, 0.01054644025862217, 0.039956700056791306, 0.035429809242486954, -0.06957130134105682, 0.07417429238557816, 0.011443283408880234, 0.008060614578425884, 0.05956688150763512, 0.004357384517788887, -0.06467612087726593, 0.04580298811197281, 0.008446969091892242, 0.061370719224214554, -0.004286827519536018, 0.0387842059135437, -0.001228678273037076, -0.03824760764837265, -0.01477227732539177, 0.07756036520004272, 0.06059972941875458, -0.0667344480752945, 0.02325989305973053, -0.015421625226736069, 0.05542580410838127, 0.05336186662316322, -0.004053563345223665, -0.012861459515988827, -0.009220842272043228, -0.05443090572953224, 2.443848163584728e-34, 0.05143281817436218, -0.02745911478996277, -0.015010789968073368, 0.057651255279779434, 0.08024179190397263, 0.02029147371649742, -0.023516224697232246, 0.11952775716781616, 0.05261119827628136, -0.028183313086628914, -0.030661040917038918, 0.029880667105317116, 0.02676090970635414, -0.05737175792455673, -0.03804877772927284, 0.06954784691333771, 0.015141945332288742, 0.04189678281545639, -0.013529852963984013, -0.0008304679067805409, -0.04844900965690613, -0.053404830396175385, -0.04470471292734146, 0.006232087500393391, 0.014452571980655193, 0.0650489330291748, 0.008840308524668217, 0.04947832599282265, -0.041409123688936234, -0.03133074939250946, -0.016071012243628502, 0.02722851373255253, -0.03603510186076164, 0.03709312155842781, -0.04726221039891243, 0.030695317313075066, 0.012645249255001545, -0.013343029655516148, -0.051876917481422424, -0.07081802934408188, 0.03571698069572449, -0.022410409525036812, -0.09406095743179321, -0.0072961850091814995, 0.06812169402837753, 0.03508562222123146, 0.027221737429499626, -0.10421928018331528, 0.051487840712070465, 0.09232768416404724, 0.08469989150762558, 0.03848385810852051, -0.06255839765071869, 0.01367289200425148, -0.02471727877855301, -0.0012834956869482994, -0.07903936505317688, -0.016529560089111328, -0.014204379171133041, 0.07922986149787903, 0.02228444628417492, 0.021144604310393333, 0.07769282162189484, -0.015305431559681892, -0.02125421352684498, -0.008776742033660412, -0.09117984771728516, -0.050473786890506744, -0.03531840816140175, 0.022758524864912033, -0.013189435005187988, 0.04463079199194908, 0.04507434740662575, 0.11780261993408203, -0.06816432625055313, -0.03755715489387512, 0.004600954242050648, -0.041035331785678864, 0.057226087898015976, -0.020181838423013687, -0.05078352615237236, -0.04899897798895836, 0.014366254210472107, -0.014860480092465878, -0.06383268535137177, -0.015281736850738525, -0.06651026010513306, 0.00818981695920229, -0.0014184064930304885, -0.12708912789821625, -0.014574156142771244, -0.0496043898165226, 0.08277194947004318, -0.07690347731113434, -0.038975633680820465, -3.3351430615377186e-33, -0.03554356098175049, 0.0061332606710493565, -0.00904671661555767, 0.03961503505706787, 0.020760202780365944, -0.0015060575678944588, -0.03898988664150238, 0.0422251932322979, -0.12567654252052307, -0.07391969114542007, 0.01333720050752163, 0.0032972556073218584, 0.0016570325242355466, 0.008389217779040337, 0.081048384308815, 0.029893938452005386, 0.0609055832028389, -0.033649198710918427, -0.07720441371202469, 0.024322934448719025, 0.09368810802698135, -0.07675854861736298, 0.033778876066207886, 0.008006978780031204, -0.01465899683535099, -0.024004153907299042, 0.04604047164320946, -0.04691582918167114, -0.037939462810754776, 0.0934169590473175, 0.028092551976442337, -0.026465363800525665, -0.05403584986925125, 0.06621922552585602, -0.053899891674518585, -0.05436417832970619, -0.0556325763463974, -0.016825374215841293, -0.09737693518400192, 0.037291307002305984, -0.044778045266866684, 0.07855699211359024, -0.016147395595908165, 0.009604462422430515, 0.010978389531373978, 0.009454580023884773, 0.07828446477651596, 0.10520525276660919, 0.02343697100877762, -0.0011985298478975892, -0.015715794637799263, -0.05900393798947334, 0.03885341063141823, 0.011961621232330799, -0.09701753407716751, 0.08510729670524597, 0.038946449756622314, 0.05274967476725578, 0.041686736047267914, 0.011789527721703053, -0.05450208857655525, 0.018364205956459045, 0.08772392570972443, 0.05918564647436142, -0.0558139942586422, -0.014847764745354652, 0.019373105838894844, 0.05528608337044716, 0.02775009348988533, 0.06430977582931519, -0.033097587525844574, -0.013210025615990162, 0.03538532555103302, 0.08154544979333878, -0.01786073110997677, 0.10383579879999161, 0.1480552852153778, -0.013272305950522423, 0.07168930023908615, -0.0018393710488453507, -0.004111901391297579, 0.030531270429491997, 0.10189126431941986, 0.029470039531588554, 0.027065956965088844, -0.05789783224463463, -0.03613562136888504, -0.04969753697514534, 0.05602209270000458, 0.073785200715065, -0.12060834467411041, 0.0217177364975214, -0.017724065110087395, -0.023376530036330223, 0.017881466075778008, -4.307476686449263e-8, 0.02158946916460991, -0.008173000998795033, -0.023616371676325798, 0.040155332535505295, -0.10457658767700195, 0.015156548470258713, -0.013528043404221535, -0.030303362756967545, -0.05849221348762512, 0.00004993302718503401, 0.015566730871796608, 0.0007603382109664381, -0.08478914946317673, 0.057618238031864166, 0.004184122197329998, 0.044999267905950546, 0.013447628356516361, -0.004970411770045757, -0.048050809651613235, 0.10683368146419525, -0.04186880216002464, 0.04554792493581772, 0.024022627621889114, -0.03804871067404747, 0.039012182503938675, -0.02539367973804474, -0.09518874436616898, 0.04639128968119621, -0.06807078421115875, -0.009404151700437069, 0.03328679874539375, 0.0333227701485157, -0.03529639542102814, 0.00844517070800066, -0.008744788356125355, -0.003941269125789404, -0.047963012009859085, 0.037187788635492325, -0.010214732959866524, 0.04047330096364021, 0.07521738857030869, 0.01590552367269993, -0.026587676256895065, -0.030303046107292175, -0.011427955701947212, 0.005897839087992907, -0.034914713352918625, -0.10417702049016953, -0.009907985106110573, 0.07057425379753113, -0.07553011178970337, 0.05978738144040108, -0.08185862749814987, -0.025951797142624855, -0.02202741429209709, -0.037099439650774, -0.028182443231344223, 0.022499730810523033, -0.11882377415895462, 0.03078334592282772, 0.021534958854317665, 0.013540515676140785, -0.02543073520064354, 0.0032129078172147274 ]
1402.0108
Eric Strobl
Eric V. Strobl, Shyam Visweswaran
Markov Blanket Ranking using Kernel-based Conditional Dependence Measures
10 pages, 4 figures, 2 algorithms, NIPS 2013 Workshop on Causality, code: github.com/ericstrobl/
null
null
null
stat.ML cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Developing feature selection algorithms that move beyond a pure correlational to a more causal analysis of observational data is an important problem in the sciences. Several algorithms attempt to do so by discovering the Markov blanket of a target, but they all contain a forward selection step which variables must pass in order to be included in the conditioning set. As a result, these algorithms may not consider all possible conditional multivariate combinations. We improve on this limitation by proposing a backward elimination method that uses a kernel-based conditional dependence measure to identify the Markov blanket in a fully multivariate fashion. The algorithm is easy to implement and compares favorably to other methods on synthetic and real datasets.
[ { "created": "Sat, 1 Feb 2014 17:51:54 GMT", "version": "v1" }, { "created": "Tue, 4 Feb 2014 22:16:00 GMT", "version": "v2" }, { "created": "Sat, 3 May 2014 01:07:49 GMT", "version": "v3" } ]
2014-05-06
[ [ "Strobl", "Eric V.", "" ], [ "Visweswaran", "Shyam", "" ] ]
[ -0.023627500981092453, -0.06683822721242905, 0.08404406160116196, 0.02494766004383564, 0.13919802010059357, -0.010238118469715118, 0.0080421706661582, -0.12068076431751251, -0.008538798429071903, 0.013620121404528618, -0.023024899885058403, -0.04835588485002518, -0.017515359446406364, 0.03729190677404404, -0.00953042134642601, 0.037070468068122864, 0.04655993729829788, -0.016079550608992577, 0.05146830528974533, -0.01593155227601528, -0.06538479775190353, 0.0537189356982708, -0.03648700565099716, 0.022846097126603127, 0.06532764434814453, 0.062352996319532394, 0.08077185600996017, 0.008496327325701714, -0.04309013485908508, 0.05226873978972435, -0.007827562279999256, 0.03959716856479645, -0.058051012456417084, -0.0934983640909195, -0.049283187836408615, 0.02360212802886963, -0.00836996454745531, 0.00020321841293480247, -0.02788703888654709, 0.04772287979722023, 0.017789753153920174, -0.016807449981570244, 0.008524990640580654, 0.021699922159314156, 0.04159315302968025, 0.09335436671972275, -0.022257015109062195, 0.011431700550019741, -0.02113521285355091, -0.031067628413438797, -0.0396961085498333, 0.03868728503584862, -0.036537256091833115, 0.051140476018190384, 0.022655578330159187, -0.0939703956246376, -0.001111188787035644, 0.0036799514200538397, -0.016578296199440956, 0.05517007037997246, 0.015896279364824295, -0.08703267574310303, -0.06722576916217804, -0.017410267144441605, 0.061535343527793884, 0.06958125531673431, -0.024193216115236282, 0.055030032992362976, -0.008467176929116249, 0.08242402225732803, -0.08592735975980759, 0.05872946232557297, -0.03474867716431618, -0.0019258790416643023, -0.026996660977602005, 0.11915052682161331, 0.047990452498197556, -0.008275761269032955, 0.039614688605070114, -0.09019697457551956, -0.06070323660969734, 0.04800330474972725, 0.04199853911995888, -0.023789256811141968, 0.11248695850372314, -0.012286536395549774, 0.022779978811740875, -0.06221994385123253, 0.025678588077425957, 0.09087742120027542, 0.05214355140924454, -0.01172078400850296, 0.1036180630326271, -0.05755394324660301, -0.060130827128887177, 0.03782286122441292, -0.06284524500370026, -0.03444088622927666, 0.044639334082603455, 0.02128019370138645, -0.02429433912038803, -0.03095502033829689, 0.05241583660244942, 0.06846508383750916, 0.05746549367904663, -0.06830739974975586, -0.01513273362070322, -0.006918936036527157, 0.05455974116921425, -0.08937336504459381, -0.01343659870326519, -0.012191222980618477, -0.0008203049073927104, -0.009770698845386505, 0.027070393785834312, 0.022501232102513313, 0.008411998860538006, 0.03060225397348404, 0.05799220874905586, -0.020948873832821846, 0.0022953241132199764, -0.03529021143913269, 0.06991876661777496, 0.02094751037657261, 0.03545861318707466, -0.026284433901309967, -0.06820383667945862, 2.889102648473163e-33, 0.06674493104219437, -0.06569385528564453, 0.06726410239934921, -0.032783396542072296, -0.05046526715159416, 0.028150925412774086, -0.020626403391361237, -0.07620716840028763, 0.08666608482599258, 0.038921844214200974, 0.020493248477578163, 0.018013833090662956, -0.06605197489261627, 0.10030175000429153, 0.06522242724895477, 0.05255691707134247, -0.05230775475502014, 0.09471315890550613, -0.02344072237610817, -0.04399775341153145, 0.02094288356602192, -0.04546741396188736, -0.09625880420207977, -0.027736442163586617, -0.05523853003978729, -0.012648769654333591, -0.0090192761272192, -0.06434532254934311, -0.083260677754879, 0.005313469562679529, -0.028763126581907272, 0.016449976712465286, -0.026177838444709778, 0.06530392169952393, -0.051861390471458435, -0.038906343281269073, -0.13141781091690063, -0.04640449211001396, 0.047019727528095245, 0.049534209072589874, -0.01686972938477993, -0.07580532878637314, 0.023259995505213737, -0.009306028485298157, -0.06283360719680786, -0.0243492741137743, -0.03774435818195343, -0.045678284019231796, -0.01222225371748209, -0.03809221833944321, 0.0682724118232727, -0.04774646461009979, 0.045934222638607025, -0.11716709285974503, -0.11677071452140808, -0.006521488074213266, -0.05366537347435951, 0.002397760283201933, -0.01854248158633709, 0.019317734986543655, -0.03946653753519058, -0.012325458228588104, -0.05554831400513649, -0.034173473715782166, -0.05280005931854248, 0.07272247225046158, 0.01867317594587803, -0.051706138998270035, 0.042864296585321426, 0.017163006588816643, -0.007026583421975374, 0.046719737350940704, 0.048873018473386765, -0.07813003659248352, 0.014852725900709629, 0.01702093333005905, 0.02290348708629608, 0.009511712938547134, 0.05588660389184952, 0.020793331786990166, -0.09275037050247192, -0.01624230295419693, 0.006104420404881239, -0.015124231576919556, 0.03182512894272804, -0.020050767809152603, -0.02372029237449169, -0.08464200049638748, -0.11899630725383759, 0.02001497894525528, 0.004924039822071791, 0.052585355937480927, 0.036705855280160904, 0.02928314357995987, 0.040527086704969406, -3.897344540653586e-33, 0.008062906563282013, 0.04909662902355194, 0.118215411901474, -0.030130621045827866, -0.049161672592163086, 0.012274710461497307, 0.02796938829123974, -0.03210047259926796, 0.03198834881186485, -0.07803606241941452, 0.015893448144197464, -0.05858165770769119, 0.07037191092967987, -0.011486442759633064, -0.02642950229346752, 0.12167855352163315, -0.0466710589826107, -0.04197719693183899, -0.02382485568523407, 0.039156168699264526, -0.039947930723428726, 0.0553877167403698, 0.02938452921807766, 0.009880099445581436, -0.04542482644319534, -0.07183124125003815, 0.03480858728289604, 0.0491681732237339, -0.011989248916506767, -0.05679219961166382, -0.10091251879930496, 0.05306999012827873, -0.055630605667829514, 0.03358997404575348, -0.0350034199655056, 0.029690954834222794, 0.004297796171158552, 0.021888503804802895, -0.026104656979441643, 0.01962830312550068, 0.05551500990986824, 0.047282859683036804, -0.09024456143379211, 0.051451534032821655, 0.01629774272441864, -0.03070508874952793, 0.006095424760133028, 0.09422694146633148, 0.04282880201935768, -0.03752068057656288, -0.021281709894537926, 0.06366315484046936, -0.01423733215779066, 0.05223868787288666, -0.099525585770607, -0.016047416254878044, -0.0020746830850839615, -0.04833991453051567, 0.0749921128153801, 0.039987385272979736, -0.07695537060499191, -0.009495879523456097, 0.09629600495100021, -0.0024958644062280655, 0.03900209441781044, 0.013285827822983265, 0.052527159452438354, 0.03140836954116821, -0.018792245537042618, -0.025500038638710976, 0.10443292558193207, 0.04394612833857536, 0.020889924839138985, -0.08067131787538528, 0.008551588281989098, -0.003093533683568239, 0.04237643629312515, -0.06726134568452835, -0.036246880888938904, 0.02821500040590763, 0.022384880110621452, -0.017446182668209076, 0.016226282343268394, 0.014444109983742237, -0.02410058118402958, 0.11234927922487259, 0.03800402209162712, -0.03135085105895996, 0.054749250411987305, -0.057053953409194946, -0.045194558799266815, 0.014286178164184093, 0.015492033213376999, 0.059261906892061234, -0.009556861594319344, -4.221231719725438e-8, 0.07678277045488358, -0.04329169541597366, -0.0030139810405671597, -0.0461244061589241, 0.08416831493377686, 0.0029139688704162836, -0.0006778454408049583, 0.15615661442279816, -0.016148526221513748, -0.005431395024061203, 0.05401957780122757, 0.0161606315523386, 0.029118657112121582, 0.03376740217208862, 0.01866539567708969, -0.07220808416604996, -0.031106935814023018, 0.021728290244936943, -0.04757804051041603, -0.016286222264170647, 0.06635719537734985, -0.09344793856143951, -0.004195548128336668, 0.07305237650871277, 0.11063962429761887, -0.02350039966404438, 0.0003257943317294121, -0.0016132366145029664, 0.12004566937685013, 0.021454449743032455, 0.04437819868326187, -0.0365346297621727, -0.06114932522177696, 0.01774580031633377, 0.04947007820010185, 0.06093254312872887, 0.05299149081110954, -0.04321477189660072, -0.06706801801919937, 0.046683866530656815, -0.06726986169815063, 0.04939723759889603, -0.06440050154924393, 0.05341952666640282, 0.013128804042935371, 0.007951207458972931, 0.023415062576532364, -0.12097497284412384, 0.0288847666233778, -0.015437835827469826, 0.05134017765522003, -0.055682603269815445, 0.05652179941534996, -0.014792654663324356, 0.03255552798509598, 0.015093684196472168, 0.01985325664281845, 0.056687574833631516, -0.06125134974718094, 0.023642344400286674, 0.030483165755867958, -0.037981417030096054, -0.01761891320347786, -0.04038311168551445 ]
null
null
null
null
null
null
null
[ -0.023627500981092453, -0.06683822721242905, 0.08404406160116196, 0.02494766004383564, 0.13919802010059357, -0.010238118469715118, 0.0080421706661582, -0.12068076431751251, -0.008538798429071903, 0.013620121404528618, -0.023024899885058403, -0.04835588485002518, -0.017515359446406364, 0.03729190677404404, -0.00953042134642601, 0.037070468068122864, 0.04655993729829788, -0.016079550608992577, 0.05146830528974533, -0.01593155227601528, -0.06538479775190353, 0.0537189356982708, -0.03648700565099716, 0.022846097126603127, 0.06532764434814453, 0.062352996319532394, 0.08077185600996017, 0.008496327325701714, -0.04309013485908508, 0.05226873978972435, -0.007827562279999256, 0.03959716856479645, -0.058051012456417084, -0.0934983640909195, -0.049283187836408615, 0.02360212802886963, -0.00836996454745531, 0.00020321841293480247, -0.02788703888654709, 0.04772287979722023, 0.017789753153920174, -0.016807449981570244, 0.008524990640580654, 0.021699922159314156, 0.04159315302968025, 0.09335436671972275, -0.022257015109062195, 0.011431700550019741, -0.02113521285355091, -0.031067628413438797, -0.0396961085498333, 0.03868728503584862, -0.036537256091833115, 0.051140476018190384, 0.022655578330159187, -0.0939703956246376, -0.001111188787035644, 0.0036799514200538397, -0.016578296199440956, 0.05517007037997246, 0.015896279364824295, -0.08703267574310303, -0.06722576916217804, -0.017410267144441605, 0.061535343527793884, 0.06958125531673431, -0.024193216115236282, 0.055030032992362976, -0.008467176929116249, 0.08242402225732803, -0.08592735975980759, 0.05872946232557297, -0.03474867716431618, -0.0019258790416643023, -0.026996660977602005, 0.11915052682161331, 0.047990452498197556, -0.008275761269032955, 0.039614688605070114, -0.09019697457551956, -0.06070323660969734, 0.04800330474972725, 0.04199853911995888, -0.023789256811141968, 0.11248695850372314, -0.012286536395549774, 0.022779978811740875, -0.06221994385123253, 0.025678588077425957, 0.09087742120027542, 0.05214355140924454, -0.01172078400850296, 0.1036180630326271, -0.05755394324660301, -0.060130827128887177, 0.03782286122441292, -0.06284524500370026, -0.03444088622927666, 0.044639334082603455, 0.02128019370138645, -0.02429433912038803, -0.03095502033829689, 0.05241583660244942, 0.06846508383750916, 0.05746549367904663, -0.06830739974975586, -0.01513273362070322, -0.006918936036527157, 0.05455974116921425, -0.08937336504459381, -0.01343659870326519, -0.012191222980618477, -0.0008203049073927104, -0.009770698845386505, 0.027070393785834312, 0.022501232102513313, 0.008411998860538006, 0.03060225397348404, 0.05799220874905586, -0.020948873832821846, 0.0022953241132199764, -0.03529021143913269, 0.06991876661777496, 0.02094751037657261, 0.03545861318707466, -0.026284433901309967, -0.06820383667945862, 2.889102648473163e-33, 0.06674493104219437, -0.06569385528564453, 0.06726410239934921, -0.032783396542072296, -0.05046526715159416, 0.028150925412774086, -0.020626403391361237, -0.07620716840028763, 0.08666608482599258, 0.038921844214200974, 0.020493248477578163, 0.018013833090662956, -0.06605197489261627, 0.10030175000429153, 0.06522242724895477, 0.05255691707134247, -0.05230775475502014, 0.09471315890550613, -0.02344072237610817, -0.04399775341153145, 0.02094288356602192, -0.04546741396188736, -0.09625880420207977, -0.027736442163586617, -0.05523853003978729, -0.012648769654333591, -0.0090192761272192, -0.06434532254934311, -0.083260677754879, 0.005313469562679529, -0.028763126581907272, 0.016449976712465286, -0.026177838444709778, 0.06530392169952393, -0.051861390471458435, -0.038906343281269073, -0.13141781091690063, -0.04640449211001396, 0.047019727528095245, 0.049534209072589874, -0.01686972938477993, -0.07580532878637314, 0.023259995505213737, -0.009306028485298157, -0.06283360719680786, -0.0243492741137743, -0.03774435818195343, -0.045678284019231796, -0.01222225371748209, -0.03809221833944321, 0.0682724118232727, -0.04774646461009979, 0.045934222638607025, -0.11716709285974503, -0.11677071452140808, -0.006521488074213266, -0.05366537347435951, 0.002397760283201933, -0.01854248158633709, 0.019317734986543655, -0.03946653753519058, -0.012325458228588104, -0.05554831400513649, -0.034173473715782166, -0.05280005931854248, 0.07272247225046158, 0.01867317594587803, -0.051706138998270035, 0.042864296585321426, 0.017163006588816643, -0.007026583421975374, 0.046719737350940704, 0.048873018473386765, -0.07813003659248352, 0.014852725900709629, 0.01702093333005905, 0.02290348708629608, 0.009511712938547134, 0.05588660389184952, 0.020793331786990166, -0.09275037050247192, -0.01624230295419693, 0.006104420404881239, -0.015124231576919556, 0.03182512894272804, -0.020050767809152603, -0.02372029237449169, -0.08464200049638748, -0.11899630725383759, 0.02001497894525528, 0.004924039822071791, 0.052585355937480927, 0.036705855280160904, 0.02928314357995987, 0.040527086704969406, -3.897344540653586e-33, 0.008062906563282013, 0.04909662902355194, 0.118215411901474, -0.030130621045827866, -0.049161672592163086, 0.012274710461497307, 0.02796938829123974, -0.03210047259926796, 0.03198834881186485, -0.07803606241941452, 0.015893448144197464, -0.05858165770769119, 0.07037191092967987, -0.011486442759633064, -0.02642950229346752, 0.12167855352163315, -0.0466710589826107, -0.04197719693183899, -0.02382485568523407, 0.039156168699264526, -0.039947930723428726, 0.0553877167403698, 0.02938452921807766, 0.009880099445581436, -0.04542482644319534, -0.07183124125003815, 0.03480858728289604, 0.0491681732237339, -0.011989248916506767, -0.05679219961166382, -0.10091251879930496, 0.05306999012827873, -0.055630605667829514, 0.03358997404575348, -0.0350034199655056, 0.029690954834222794, 0.004297796171158552, 0.021888503804802895, -0.026104656979441643, 0.01962830312550068, 0.05551500990986824, 0.047282859683036804, -0.09024456143379211, 0.051451534032821655, 0.01629774272441864, -0.03070508874952793, 0.006095424760133028, 0.09422694146633148, 0.04282880201935768, -0.03752068057656288, -0.021281709894537926, 0.06366315484046936, -0.01423733215779066, 0.05223868787288666, -0.099525585770607, -0.016047416254878044, -0.0020746830850839615, -0.04833991453051567, 0.0749921128153801, 0.039987385272979736, -0.07695537060499191, -0.009495879523456097, 0.09629600495100021, -0.0024958644062280655, 0.03900209441781044, 0.013285827822983265, 0.052527159452438354, 0.03140836954116821, -0.018792245537042618, -0.025500038638710976, 0.10443292558193207, 0.04394612833857536, 0.020889924839138985, -0.08067131787538528, 0.008551588281989098, -0.003093533683568239, 0.04237643629312515, -0.06726134568452835, -0.036246880888938904, 0.02821500040590763, 0.022384880110621452, -0.017446182668209076, 0.016226282343268394, 0.014444109983742237, -0.02410058118402958, 0.11234927922487259, 0.03800402209162712, -0.03135085105895996, 0.054749250411987305, -0.057053953409194946, -0.045194558799266815, 0.014286178164184093, 0.015492033213376999, 0.059261906892061234, -0.009556861594319344, -4.221231719725438e-8, 0.07678277045488358, -0.04329169541597366, -0.0030139810405671597, -0.0461244061589241, 0.08416831493377686, 0.0029139688704162836, -0.0006778454408049583, 0.15615661442279816, -0.016148526221513748, -0.005431395024061203, 0.05401957780122757, 0.0161606315523386, 0.029118657112121582, 0.03376740217208862, 0.01866539567708969, -0.07220808416604996, -0.031106935814023018, 0.021728290244936943, -0.04757804051041603, -0.016286222264170647, 0.06635719537734985, -0.09344793856143951, -0.004195548128336668, 0.07305237650871277, 0.11063962429761887, -0.02350039966404438, 0.0003257943317294121, -0.0016132366145029664, 0.12004566937685013, 0.021454449743032455, 0.04437819868326187, -0.0365346297621727, -0.06114932522177696, 0.01774580031633377, 0.04947007820010185, 0.06093254312872887, 0.05299149081110954, -0.04321477189660072, -0.06706801801919937, 0.046683866530656815, -0.06726986169815063, 0.04939723759889603, -0.06440050154924393, 0.05341952666640282, 0.013128804042935371, 0.007951207458972931, 0.023415062576532364, -0.12097497284412384, 0.0288847666233778, -0.015437835827469826, 0.05134017765522003, -0.055682603269815445, 0.05652179941534996, -0.014792654663324356, 0.03255552798509598, 0.015093684196472168, 0.01985325664281845, 0.056687574833631516, -0.06125134974718094, 0.023642344400286674, 0.030483165755867958, -0.037981417030096054, -0.01761891320347786, -0.04038311168551445 ]
1402.0116
Sehrish Basir Nizamani
Sehrish Nizamani, Khalil Khoumbati, Imdad Ali Ismaili, Saad Nizamani
A Conceptual Framework for ERP Evaluation in Universities of Pakistan
null
Sindh University Research Journal (Science Series) Vol. 45 (3)467-475 (2013)
null
null
cs.CY
http://creativecommons.org/licenses/by-nc-sa/3.0/
The higher education has been greatly impacted by worldwide trends. In a result, the universities throughout the world are focusing to enhance performance and efficiency in their workings. Therefore, the higher education has moved their systems to Enterprise Resource Planning (ERP) systems to cope with the needs of changing environment. However, the literature review indicates that there is void on the evaluation of success or failure of ERP systems in higher education Institutes in Pakistan. In overall, ERP systems implementation in higher education of Pakistan has not been given appropriate research focus. Thus, in this paper the authors have attempted to develop a conceptual framework for ERP evaluation in Universities of Pakistan. This seeks to expand the knowledge on ERP in higher educational institutes of Pakistan and focuses on understanding the ERP related critical success factors.
[ { "created": "Sat, 1 Feb 2014 19:37:18 GMT", "version": "v1" } ]
2014-02-04
[ [ "Nizamani", "Sehrish", "" ], [ "Khoumbati", "Khalil", "" ], [ "Ismaili", "Imdad Ali", "" ], [ "Nizamani", "Saad", "" ] ]
[ 0.05469091609120369, 0.08886417746543884, -0.0037202974781394005, -0.0049018245190382, -0.02049325779080391, -0.029072677716612816, 0.017447885125875473, 0.016725976020097733, 0.04041024670004845, -0.0025590367149561644, 0.0018479622667655349, 0.017889076843857765, 0.08303692936897278, 0.006473522167652845, 0.06415826082229614, -0.05752343311905861, -0.005386446602642536, -0.08210897445678711, 0.027363205328583717, -0.05924449488520622, -0.02789301984012127, 0.026439251378178596, 0.018665984272956848, 0.008037999272346497, -0.059620004147291183, -0.03043154999613762, 0.043928906321525574, -0.02821005880832672, -0.059517644345760345, -0.061511147767305374, -0.018228016793727875, -0.07903949916362762, 0.055853113532066345, 0.031095266342163086, 0.00022573348542209715, 0.03887113556265831, 0.011261221021413803, 0.0086820675060153, -0.016974184662103653, 0.01872885413467884, -0.02606695517897606, -0.011302604340016842, -0.030396979302167892, -0.03489140421152115, 0.0470716692507267, -0.01588071510195732, -0.07371646165847778, -0.07054102420806885, -0.04543496295809746, 0.023647921159863472, 0.03862656652927399, 0.020072225481271744, 0.06685810536146164, -0.062323860824108124, -0.01888536475598812, 0.01763124018907547, 0.0299528855830431, -0.04207681864500046, -0.08121462166309357, -0.02719581499695778, 0.044696144759655, 0.05867009982466698, 0.027067678049206734, -0.10477310419082642, 0.02869483269751072, 0.0006160890916362405, 0.04063455015420914, -0.0316041074693203, -0.00737463915720582, 0.0028029780369251966, -0.10621428489685059, -0.10165371745824814, -0.12374931573867798, 0.07051166892051697, 0.04122064262628555, -0.023520179092884064, -0.060660555958747864, 0.06630652397871017, -0.009608880616724491, 0.07023492455482483, 0.06819305568933487, 0.04686255007982254, -0.02326975390315056, 0.022727830335497856, -0.03186314180493355, 0.007515831850469112, -0.014992612414062023, -0.023806758224964142, -0.036061737686395645, 0.023303328081965446, 0.0738862156867981, -0.013940036296844482, -0.021064607426524162, 0.034573037177324295, 0.09404156357049942, -0.015024433843791485, -0.06492979824542999, -0.09447375684976578, 0.0936676636338234, -0.011482972651720047, 0.03976099565625191, 0.04845504090189934, 0.00825883075594902, -0.05072467029094696, -0.08955477923154831, -0.024577463045716286, 0.03790506348013878, 0.00695227924734354, 0.053598035126924515, -0.07967989146709442, -0.005042414180934429, -0.036519668996334076, 0.055106114596128464, -0.05251000076532364, 0.004821540787816048, 0.017901966348290443, -0.05989014357328415, 0.08647428452968597, 0.041466124355793, 0.028874818235635757, 0.03623642399907112, 0.02919672429561615, 0.07250410318374634, 0.0018439696868881583, 0.03409571200609207, -0.10956820845603943, -0.032104361802339554, 2.30941913471992e-34, -0.07061115652322769, 0.009801913052797318, -0.04007298871874809, 0.013078941032290459, -0.07066167145967484, -0.020015068352222443, -0.009545978158712387, 0.017123138532042503, -0.05037330836057663, -0.049319539219141006, -0.048852238804101944, 0.052087198942899704, 0.08313500136137009, -0.034249648451805115, 0.06690850108861923, -0.03299626708030701, 0.01212508324533701, 0.10895698517560959, 0.07568415254354477, 0.014632262289524078, -0.033674754202365875, -0.06341259926557541, 0.07692041993141174, -0.10519377887248993, 0.07796815782785416, 0.056969624012708664, -0.03419177234172821, 0.08593446016311646, 0.06643960624933243, -0.07015902549028397, 0.13165061175823212, -0.05065731704235077, -0.048344507813453674, 0.03844308853149414, 0.008407196961343288, -0.00840024184435606, 0.019262883812189102, 0.05901145190000534, 0.03462781384587288, -0.10813035070896149, -0.10791836678981781, 0.09614400565624237, -0.018251817673444748, 0.05911280959844589, -0.0326642245054245, 0.04455168545246124, 0.05921151116490364, -0.042097751051187515, 0.058025676757097244, -0.023803438991308212, -0.025559766218066216, -0.0683058649301529, 0.0694948360323906, -0.0062751369550824165, 0.010982709005475044, 0.021495239809155464, 0.02424107864499092, -0.027535151690244675, 0.029030023142695427, -0.026883887127041817, 0.03766956552863121, -0.004991469439119101, -0.05394929274916649, -0.04864729195833206, 0.057992495596408844, -0.03315011411905289, 0.06680488586425781, -0.07097717374563217, 0.10652858018875122, -0.019723309203982353, 0.02039959654211998, -0.08199765533208847, 0.028312530368566513, 0.00959362555295229, -0.05717731639742851, -0.0022768345661461353, -0.13861146569252014, 0.04359837621450424, -0.02638547495007515, 0.05813898146152496, -0.08668040484189987, 0.023135727271437645, -0.021200688555836678, -0.05054295063018799, 0.08781395107507706, 0.058669451624155045, 0.022260218858718872, 0.005825826432555914, 0.03525012359023094, 0.08109366148710251, 0.054202910512685776, 0.032991208136081696, -0.09256984293460846, 0.0708649605512619, 0.0865214541554451, -1.6062151337597515e-33, 0.12403948605060577, 0.026021964848041534, -0.08155892044305801, 0.03919687867164612, 0.08316215872764587, -0.013777660205960274, 0.054921120405197144, -0.03772737830877304, -0.06069255620241165, -0.03245439752936363, 0.05551964044570923, -0.05229439586400986, -0.05256337672472, 0.0246720090508461, 0.012630860321223736, -0.021954841911792755, 0.048050735145807266, 0.04234432429075241, -0.016659395769238472, 0.061267681419849396, -0.0024316408671438694, 0.04345623776316643, 0.008036727085709572, -0.015497289597988129, -0.05223821476101875, 0.00030261260690167546, -0.013442929834127426, -0.11306072026491165, -0.05152334272861481, -0.0516870878636837, 0.013480023480951786, -0.039433833211660385, -0.061861552298069, 0.12074324488639832, -0.029633264988660812, -0.022949185222387314, -0.009139260277152061, -0.016385577619075775, -0.07073713839054108, 0.0012392023345455527, 0.05353958532214165, 0.05218823626637459, -0.04414082691073418, -0.02319805882871151, 0.04885558411478996, 0.03843458741903305, 0.06256307661533356, 0.05337920039892197, -0.008218960836529732, -0.07755109667778015, -0.0012191545683890581, -0.008970741182565689, 0.05052962899208069, -0.09812057018280029, 0.0196028221398592, -0.03939865902066231, 0.06388882547616959, -0.036739662289619446, -0.09798280894756317, 0.06669222563505173, -0.016141459345817566, 0.04401867091655731, 0.0669785812497139, 0.03704679384827614, -0.042515769600868225, 0.00979822687804699, 0.04518938064575195, -0.00890593882650137, 0.0010795807465910912, -0.045551422983407974, 0.003046313999220729, -0.022647205740213394, 0.0025299880653619766, 0.03444690257310867, -0.018314842134714127, 0.04029823839664459, -0.0016168546862900257, 0.010417832992970943, 0.020317450165748596, -0.031766753643751144, -0.03812951222062111, -0.0137581005692482, -0.08806048333644867, 0.02182684652507305, -0.042997296899557114, -0.021029032766819, 0.03934752941131592, -0.055269673466682434, 0.026532215997576714, -0.02528080902993679, -0.0029005410615354776, -0.06628429889678955, 0.02939901128411293, 0.03921175003051758, 0.015002027153968811, -3.662609060484101e-8, -0.05323943495750427, -0.02028588578104973, 0.015760280191898346, -0.021772844716906548, -0.05666618049144745, -0.011176921427249908, 0.02662774920463562, 0.0647607371211052, -0.023854471743106842, -0.04281206801533699, -0.04824783280491829, -0.07206127047538757, -0.0553339384496212, 0.016249846667051315, 0.12428423762321472, -0.004412251524627209, 0.06397683918476105, 0.12430405616760254, 0.012572146952152252, -0.025432851165533066, 0.04836554825305939, -0.02311568334698677, -0.05094870179891586, -0.03898368403315544, 0.034456104040145874, 0.023535899817943573, -0.03750677779316902, -0.027530500665307045, 0.005358324386179447, -0.03994366526603699, 0.10087144374847412, -0.026051152497529984, 0.024465017020702362, -0.036615148186683655, 0.05146661773324013, -0.039727408438920975, -0.011141929775476456, 0.02551155537366867, 0.05584028363227844, 0.015472504310309887, -0.08474130183458328, -0.011705267243087292, 0.036790285259485245, 0.0004004427173640579, -0.039422646164894104, 0.06903702765703201, -0.08993815630674362, 0.009228971786797047, -0.04852620139718056, -0.08612846583127975, 0.07390883564949036, -0.04953097552061081, -0.02171088010072708, -0.0030812607146799564, 0.01555646862834692, -0.03868633508682251, 0.09415639936923981, -0.06813453137874603, -0.030769281089305878, 0.086923748254776, 0.04408741369843483, -0.023368749767541885, 0.016470488160848618, 0.02391158789396286 ]
null
null
null
null
null
null
null
[ 0.05469091609120369, 0.08886417746543884, -0.0037202974781394005, -0.0049018245190382, -0.02049325779080391, -0.029072677716612816, 0.017447885125875473, 0.016725976020097733, 0.04041024670004845, -0.0025590367149561644, 0.0018479622667655349, 0.017889076843857765, 0.08303692936897278, 0.006473522167652845, 0.06415826082229614, -0.05752343311905861, -0.005386446602642536, -0.08210897445678711, 0.027363205328583717, -0.05924449488520622, -0.02789301984012127, 0.026439251378178596, 0.018665984272956848, 0.008037999272346497, -0.059620004147291183, -0.03043154999613762, 0.043928906321525574, -0.02821005880832672, -0.059517644345760345, -0.061511147767305374, -0.018228016793727875, -0.07903949916362762, 0.055853113532066345, 0.031095266342163086, 0.00022573348542209715, 0.03887113556265831, 0.011261221021413803, 0.0086820675060153, -0.016974184662103653, 0.01872885413467884, -0.02606695517897606, -0.011302604340016842, -0.030396979302167892, -0.03489140421152115, 0.0470716692507267, -0.01588071510195732, -0.07371646165847778, -0.07054102420806885, -0.04543496295809746, 0.023647921159863472, 0.03862656652927399, 0.020072225481271744, 0.06685810536146164, -0.062323860824108124, -0.01888536475598812, 0.01763124018907547, 0.0299528855830431, -0.04207681864500046, -0.08121462166309357, -0.02719581499695778, 0.044696144759655, 0.05867009982466698, 0.027067678049206734, -0.10477310419082642, 0.02869483269751072, 0.0006160890916362405, 0.04063455015420914, -0.0316041074693203, -0.00737463915720582, 0.0028029780369251966, -0.10621428489685059, -0.10165371745824814, -0.12374931573867798, 0.07051166892051697, 0.04122064262628555, -0.023520179092884064, -0.060660555958747864, 0.06630652397871017, -0.009608880616724491, 0.07023492455482483, 0.06819305568933487, 0.04686255007982254, -0.02326975390315056, 0.022727830335497856, -0.03186314180493355, 0.007515831850469112, -0.014992612414062023, -0.023806758224964142, -0.036061737686395645, 0.023303328081965446, 0.0738862156867981, -0.013940036296844482, -0.021064607426524162, 0.034573037177324295, 0.09404156357049942, -0.015024433843791485, -0.06492979824542999, -0.09447375684976578, 0.0936676636338234, -0.011482972651720047, 0.03976099565625191, 0.04845504090189934, 0.00825883075594902, -0.05072467029094696, -0.08955477923154831, -0.024577463045716286, 0.03790506348013878, 0.00695227924734354, 0.053598035126924515, -0.07967989146709442, -0.005042414180934429, -0.036519668996334076, 0.055106114596128464, -0.05251000076532364, 0.004821540787816048, 0.017901966348290443, -0.05989014357328415, 0.08647428452968597, 0.041466124355793, 0.028874818235635757, 0.03623642399907112, 0.02919672429561615, 0.07250410318374634, 0.0018439696868881583, 0.03409571200609207, -0.10956820845603943, -0.032104361802339554, 2.30941913471992e-34, -0.07061115652322769, 0.009801913052797318, -0.04007298871874809, 0.013078941032290459, -0.07066167145967484, -0.020015068352222443, -0.009545978158712387, 0.017123138532042503, -0.05037330836057663, -0.049319539219141006, -0.048852238804101944, 0.052087198942899704, 0.08313500136137009, -0.034249648451805115, 0.06690850108861923, -0.03299626708030701, 0.01212508324533701, 0.10895698517560959, 0.07568415254354477, 0.014632262289524078, -0.033674754202365875, -0.06341259926557541, 0.07692041993141174, -0.10519377887248993, 0.07796815782785416, 0.056969624012708664, -0.03419177234172821, 0.08593446016311646, 0.06643960624933243, -0.07015902549028397, 0.13165061175823212, -0.05065731704235077, -0.048344507813453674, 0.03844308853149414, 0.008407196961343288, -0.00840024184435606, 0.019262883812189102, 0.05901145190000534, 0.03462781384587288, -0.10813035070896149, -0.10791836678981781, 0.09614400565624237, -0.018251817673444748, 0.05911280959844589, -0.0326642245054245, 0.04455168545246124, 0.05921151116490364, -0.042097751051187515, 0.058025676757097244, -0.023803438991308212, -0.025559766218066216, -0.0683058649301529, 0.0694948360323906, -0.0062751369550824165, 0.010982709005475044, 0.021495239809155464, 0.02424107864499092, -0.027535151690244675, 0.029030023142695427, -0.026883887127041817, 0.03766956552863121, -0.004991469439119101, -0.05394929274916649, -0.04864729195833206, 0.057992495596408844, -0.03315011411905289, 0.06680488586425781, -0.07097717374563217, 0.10652858018875122, -0.019723309203982353, 0.02039959654211998, -0.08199765533208847, 0.028312530368566513, 0.00959362555295229, -0.05717731639742851, -0.0022768345661461353, -0.13861146569252014, 0.04359837621450424, -0.02638547495007515, 0.05813898146152496, -0.08668040484189987, 0.023135727271437645, -0.021200688555836678, -0.05054295063018799, 0.08781395107507706, 0.058669451624155045, 0.022260218858718872, 0.005825826432555914, 0.03525012359023094, 0.08109366148710251, 0.054202910512685776, 0.032991208136081696, -0.09256984293460846, 0.0708649605512619, 0.0865214541554451, -1.6062151337597515e-33, 0.12403948605060577, 0.026021964848041534, -0.08155892044305801, 0.03919687867164612, 0.08316215872764587, -0.013777660205960274, 0.054921120405197144, -0.03772737830877304, -0.06069255620241165, -0.03245439752936363, 0.05551964044570923, -0.05229439586400986, -0.05256337672472, 0.0246720090508461, 0.012630860321223736, -0.021954841911792755, 0.048050735145807266, 0.04234432429075241, -0.016659395769238472, 0.061267681419849396, -0.0024316408671438694, 0.04345623776316643, 0.008036727085709572, -0.015497289597988129, -0.05223821476101875, 0.00030261260690167546, -0.013442929834127426, -0.11306072026491165, -0.05152334272861481, -0.0516870878636837, 0.013480023480951786, -0.039433833211660385, -0.061861552298069, 0.12074324488639832, -0.029633264988660812, -0.022949185222387314, -0.009139260277152061, -0.016385577619075775, -0.07073713839054108, 0.0012392023345455527, 0.05353958532214165, 0.05218823626637459, -0.04414082691073418, -0.02319805882871151, 0.04885558411478996, 0.03843458741903305, 0.06256307661533356, 0.05337920039892197, -0.008218960836529732, -0.07755109667778015, -0.0012191545683890581, -0.008970741182565689, 0.05052962899208069, -0.09812057018280029, 0.0196028221398592, -0.03939865902066231, 0.06388882547616959, -0.036739662289619446, -0.09798280894756317, 0.06669222563505173, -0.016141459345817566, 0.04401867091655731, 0.0669785812497139, 0.03704679384827614, -0.042515769600868225, 0.00979822687804699, 0.04518938064575195, -0.00890593882650137, 0.0010795807465910912, -0.045551422983407974, 0.003046313999220729, -0.022647205740213394, 0.0025299880653619766, 0.03444690257310867, -0.018314842134714127, 0.04029823839664459, -0.0016168546862900257, 0.010417832992970943, 0.020317450165748596, -0.031766753643751144, -0.03812951222062111, -0.0137581005692482, -0.08806048333644867, 0.02182684652507305, -0.042997296899557114, -0.021029032766819, 0.03934752941131592, -0.055269673466682434, 0.026532215997576714, -0.02528080902993679, -0.0029005410615354776, -0.06628429889678955, 0.02939901128411293, 0.03921175003051758, 0.015002027153968811, -3.662609060484101e-8, -0.05323943495750427, -0.02028588578104973, 0.015760280191898346, -0.021772844716906548, -0.05666618049144745, -0.011176921427249908, 0.02662774920463562, 0.0647607371211052, -0.023854471743106842, -0.04281206801533699, -0.04824783280491829, -0.07206127047538757, -0.0553339384496212, 0.016249846667051315, 0.12428423762321472, -0.004412251524627209, 0.06397683918476105, 0.12430405616760254, 0.012572146952152252, -0.025432851165533066, 0.04836554825305939, -0.02311568334698677, -0.05094870179891586, -0.03898368403315544, 0.034456104040145874, 0.023535899817943573, -0.03750677779316902, -0.027530500665307045, 0.005358324386179447, -0.03994366526603699, 0.10087144374847412, -0.026051152497529984, 0.024465017020702362, -0.036615148186683655, 0.05146661773324013, -0.039727408438920975, -0.011141929775476456, 0.02551155537366867, 0.05584028363227844, 0.015472504310309887, -0.08474130183458328, -0.011705267243087292, 0.036790285259485245, 0.0004004427173640579, -0.039422646164894104, 0.06903702765703201, -0.08993815630674362, 0.009228971786797047, -0.04852620139718056, -0.08612846583127975, 0.07390883564949036, -0.04953097552061081, -0.02171088010072708, -0.0030812607146799564, 0.01555646862834692, -0.03868633508682251, 0.09415639936923981, -0.06813453137874603, -0.030769281089305878, 0.086923748254776, 0.04408741369843483, -0.023368749767541885, 0.016470488160848618, 0.02391158789396286 ]
1402.0119
David Lopez-Paz
David Lopez-Paz, Suvrit Sra, Alex Smola, Zoubin Ghahramani, Bernhard Sch\"olkopf
Randomized Nonlinear Component Analysis
Appearing in ICML 2014
null
null
null
stat.ML cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Classical methods such as Principal Component Analysis (PCA) and Canonical Correlation Analysis (CCA) are ubiquitous in statistics. However, these techniques are only able to reveal linear relationships in data. Although nonlinear variants of PCA and CCA have been proposed, these are computationally prohibitive in the large scale. In a separate strand of recent research, randomized methods have been proposed to construct features that help reveal nonlinear patterns in data. For basic tasks such as regression or classification, random features exhibit little or no loss in performance, while achieving drastic savings in computational requirements. In this paper we leverage randomness to design scalable new variants of nonlinear PCA and CCA; our ideas extend to key multivariate analysis tools such as spectral clustering or LDA. We demonstrate our algorithms through experiments on real-world data, on which we compare against the state-of-the-art. A simple R implementation of the presented algorithms is provided.
[ { "created": "Sat, 1 Feb 2014 19:54:06 GMT", "version": "v1" }, { "created": "Tue, 13 May 2014 16:41:11 GMT", "version": "v2" } ]
2014-05-14
[ [ "Lopez-Paz", "David", "" ], [ "Sra", "Suvrit", "" ], [ "Smola", "Alex", "" ], [ "Ghahramani", "Zoubin", "" ], [ "Schölkopf", "Bernhard", "" ] ]
[ -0.06260105222463608, -0.12211951613426208, 0.03936942666769028, 0.029536975547671318, 0.025915103033185005, 0.03385850042104721, -0.015722474083304405, -0.09884503483772278, 0.029573706910014153, 0.008166140876710415, 0.02446112036705017, 0.04026571288704872, -0.02245372161269188, 0.038398366421461105, -0.019312333315610886, 0.01315260585397482, 0.06626909226179123, 0.018694816157221794, -0.04985162988305092, 0.006429779808968306, -0.0006498013390228152, 0.03016078658401966, -0.024370428174734116, 0.05232638865709305, 0.0574624165892601, 0.007274080067873001, 0.09523489326238632, -0.02880663052201271, -0.050509486347436905, 0.012173346243798733, 0.08395703136920929, 0.0577298104763031, -0.038259148597717285, -0.03558792546391487, -0.03706228733062744, 0.02867225371301174, 0.007177307736128569, 0.09651189297437668, -0.04876542091369629, 0.008881730027496815, 0.005564502440392971, 0.022884031757712364, -0.023182440549135208, 0.11587776988744736, 0.044904373586177826, -0.011072183959186077, -0.017750779166817665, -0.07319527119398117, 0.01822134293615818, 0.021640034392476082, -0.07898419350385666, 0.038184382021427155, -0.014318638481199741, 0.022364210337400436, 0.006167614832520485, -0.03514314442873001, 0.027673527598381042, -0.03890185430645943, 0.11371374875307083, 0.04184611141681671, 0.09285520017147064, -0.02225375734269619, 0.01832515001296997, -0.01242880616337061, 0.03181609511375427, 0.015457778237760067, -0.0017882392276078463, 0.07144658267498016, 0.01615304872393608, 0.017147574573755264, -0.0677100270986557, 0.06192145496606827, -0.057232994586229324, 0.07327437400817871, 0.018187234178185463, 0.08061724156141281, -0.04887101426720619, -0.04337991029024124, 0.04707282781600952, 0.023085830733180046, -0.017686322331428528, 0.05556785687804222, 0.04180040955543518, 0.005630407482385635, 0.15222123265266418, 0.02356789819896221, 0.05262187123298645, -0.09570243954658508, -0.00004744325633510016, -0.01984805427491665, 0.0117429718375206, 0.019115235656499863, 0.041561152786016464, -0.08200908452272415, -0.07945258170366287, -0.04219694063067436, 0.09608142822980881, -0.12153991311788559, 0.1094837337732315, 0.07563107460737228, 0.019466344267129898, -0.018079400062561035, -0.01916036568582058, 0.04842248931527138, -0.05241788178682327, -0.0654357448220253, 0.015047082677483559, 0.0016520991921424866, 0.08720920979976654, -0.05053834617137909, 0.0018962327158078551, 0.0091587845236063, -0.10003425180912018, 0.018190281465649605, 0.023682504892349243, 0.011888490989804268, 0.043753769248723984, 0.01670699566602707, 0.028189947828650475, 0.08138440549373627, -0.034971125423908234, -0.022845136001706123, -0.00980757363140583, -0.01837180182337761, 0.016821665689349174, 0.04630699381232262, -0.11880955845117569, 3.207774207864293e-33, 0.05080397427082062, -0.03483108803629875, 0.03244844824075699, 0.008196498267352581, -0.023899514228105545, -0.08721799403429031, -0.02763620764017105, -0.023585893213748932, 0.027057889848947525, 0.11148640513420105, 0.04075435549020767, 0.06927214562892914, -0.01840026117861271, 0.07120855897665024, 0.02345985174179077, 0.04382549226284027, -0.01615024544298649, 0.05374200642108917, 0.01291063241660595, -0.09005579352378845, 0.01887832023203373, -0.05398159101605415, 0.06990816444158554, -0.026223961263895035, -0.05631528049707413, -0.020719455555081367, 0.03588716685771942, -0.049273405224084854, 0.014225179329514503, 0.007440336048603058, -0.03392159938812256, 0.0798240602016449, -0.03398672863841057, 0.07086014002561569, -0.03485823795199394, -0.04985202103853226, -0.005020319949835539, -0.07819339632987976, 0.004502331838011742, 0.02200956642627716, -0.04620318487286568, -0.026120103895664215, 0.020091408863663673, -0.09566483646631241, -0.03788011893630028, 0.06474769115447998, 0.009263054467737675, -0.02722115069627762, 0.0005375734763219953, -0.038244254887104034, 0.005532064475119114, 0.03552357479929924, -0.022717641666531563, 0.030575480312108994, -0.051517706364393234, 0.0025441772304475307, -0.002137018134817481, -0.03482992947101593, 0.08583249151706696, -0.0007006491650827229, -0.11284579336643219, -0.0030036000534892082, -0.010397504083812237, -0.0998275950551033, -0.09692041575908661, -0.017608290538191795, 0.0032087501604110003, 0.014281201176345348, 0.06597693264484406, 0.0351543091237545, 0.022271744906902313, 0.057870056480169296, -0.06477563828229904, -0.06729120016098022, 0.01992231421172619, 0.012497469782829285, 0.010281974449753761, -0.009660035371780396, -0.04577933996915817, 0.02741910330951214, -0.016716884449124336, 0.046000223606824875, 0.0031129734124988317, -0.027570614591240883, -0.04870849847793579, -0.061556603759527206, -0.02437417395412922, -0.11236376315355301, -0.1404840648174286, -0.06344970315694809, -0.08551756292581558, 0.0638326033949852, 0.04575076699256897, -0.00137943378649652, 0.018626989796757698, -4.415961260634856e-33, -0.08177191019058228, -0.021701237186789513, 0.05405962094664574, -0.013945973478257656, 0.0589543953537941, -0.06465240567922592, -0.06182556226849556, 0.015846790745854378, 0.031842149794101715, -0.07786906510591507, 0.04697421193122864, -0.09080416709184647, 0.01096272747963667, 0.08035898208618164, 0.09646312147378922, 0.08323965221643448, -0.02629149705171585, 0.049559809267520905, -0.007270895875990391, 0.034832850098609924, -0.013122186996042728, -0.001967499265447259, 0.009771719574928284, 0.011193853802978992, 0.04223354533314705, -0.016672782599925995, -0.03913873806595802, -0.024571500718593597, -0.03349032625555992, -0.06033970043063164, -0.12613213062286377, 0.10470325499773026, -0.0860133171081543, -0.00511958310380578, -0.08576511591672897, 0.08846564590930939, -0.05069530010223389, 0.011347286403179169, 0.0014592234510928392, 0.02564501203596592, 0.037333618849515915, 0.01837013103067875, 0.041188474744558334, -0.021224020048975945, 0.010152227245271206, -0.12473507970571518, 0.05886358767747879, 0.02289658971130848, 0.02774088829755783, 0.08863610774278641, 0.013945098035037518, 0.019859779626131058, -0.046082641929388046, 0.028351763263344765, -0.015783261507749557, 0.000228205812163651, 0.0012450047070160508, 0.0009002590668387711, 0.015666473656892776, 0.04241364076733589, 0.0027675251476466656, -0.03695900738239288, 0.003585961414501071, 0.031200125813484192, -0.02541515976190567, -0.07623210549354553, 0.02373921126127243, -0.04045260697603226, -0.04325955733656883, 0.045174695551395416, 0.03012527897953987, 0.0045714108273386955, -0.008090292103588581, 0.014020329341292381, -0.04436956346035004, -0.09354078024625778, 0.0035628569312393665, -0.08651290833950043, -0.07707364112138748, 0.04163814336061478, 0.12010342627763748, -0.00005501145278685726, 0.08571456372737885, -0.04540616273880005, 0.07666890323162079, 0.11116708815097809, 0.02044897899031639, -0.06705804914236069, 0.09532468765974045, -0.02838328294456005, -0.019944151863455772, 0.017617380246520042, -0.0259195975959301, 0.035401325672864914, -0.011538921855390072, -3.868230535886141e-8, -0.02604718692600727, -0.028055967763066292, -0.022794287651777267, -0.03972752392292023, 0.020968889817595482, -0.038450900465250015, 0.026810312643647194, 0.14144109189510345, -0.07293820381164551, -0.042545970529317856, 0.11834202706813812, 0.0026538153178989887, -0.043226029723882675, 0.034497641026973724, 0.02832241915166378, 0.001139481901191175, -0.01963743008673191, 0.026540350168943405, -0.003407518146559596, -0.04233891889452934, -0.029810303822159767, 0.006335129030048847, 0.03564951941370964, 0.031193630769848824, 0.026753678917884827, -0.07790646702051163, 0.013983872719109058, 0.048963870853185654, 0.04910004884004593, -0.025109754875302315, -0.01750755123794079, 0.0023560267873108387, -0.028842972591519356, -0.026272712275385857, 0.05347330868244171, 0.04766196012496948, -0.0003452360979281366, -0.0020269048400223255, -0.10489673167467117, -0.016690757125616074, -0.03079863265156746, 0.04861045256257057, -0.06881729513406754, 0.019231321290135384, 0.031183388084173203, 0.07556993514299393, 0.031022824347019196, -0.03986075147986412, 0.04175204411149025, 0.003703703870996833, 0.00632143672555685, -0.05725463852286339, 0.010757002979516983, -0.006231758743524551, 0.058873504400253296, 0.06089012324810028, -0.029999887570738792, 0.032113634049892426, 0.02663256973028183, -0.05737503245472908, -0.019989874213933945, -0.02715688943862915, -0.04725610092282295, -0.10273769497871399 ]
null
null
null
null
null
null
null
[ -0.06260105222463608, -0.12211951613426208, 0.03936942666769028, 0.029536975547671318, 0.025915103033185005, 0.03385850042104721, -0.015722474083304405, -0.09884503483772278, 0.029573706910014153, 0.008166140876710415, 0.02446112036705017, 0.04026571288704872, -0.02245372161269188, 0.038398366421461105, -0.019312333315610886, 0.01315260585397482, 0.06626909226179123, 0.018694816157221794, -0.04985162988305092, 0.006429779808968306, -0.0006498013390228152, 0.03016078658401966, -0.024370428174734116, 0.05232638865709305, 0.0574624165892601, 0.007274080067873001, 0.09523489326238632, -0.02880663052201271, -0.050509486347436905, 0.012173346243798733, 0.08395703136920929, 0.0577298104763031, -0.038259148597717285, -0.03558792546391487, -0.03706228733062744, 0.02867225371301174, 0.007177307736128569, 0.09651189297437668, -0.04876542091369629, 0.008881730027496815, 0.005564502440392971, 0.022884031757712364, -0.023182440549135208, 0.11587776988744736, 0.044904373586177826, -0.011072183959186077, -0.017750779166817665, -0.07319527119398117, 0.01822134293615818, 0.021640034392476082, -0.07898419350385666, 0.038184382021427155, -0.014318638481199741, 0.022364210337400436, 0.006167614832520485, -0.03514314442873001, 0.027673527598381042, -0.03890185430645943, 0.11371374875307083, 0.04184611141681671, 0.09285520017147064, -0.02225375734269619, 0.01832515001296997, -0.01242880616337061, 0.03181609511375427, 0.015457778237760067, -0.0017882392276078463, 0.07144658267498016, 0.01615304872393608, 0.017147574573755264, -0.0677100270986557, 0.06192145496606827, -0.057232994586229324, 0.07327437400817871, 0.018187234178185463, 0.08061724156141281, -0.04887101426720619, -0.04337991029024124, 0.04707282781600952, 0.023085830733180046, -0.017686322331428528, 0.05556785687804222, 0.04180040955543518, 0.005630407482385635, 0.15222123265266418, 0.02356789819896221, 0.05262187123298645, -0.09570243954658508, -0.00004744325633510016, -0.01984805427491665, 0.0117429718375206, 0.019115235656499863, 0.041561152786016464, -0.08200908452272415, -0.07945258170366287, -0.04219694063067436, 0.09608142822980881, -0.12153991311788559, 0.1094837337732315, 0.07563107460737228, 0.019466344267129898, -0.018079400062561035, -0.01916036568582058, 0.04842248931527138, -0.05241788178682327, -0.0654357448220253, 0.015047082677483559, 0.0016520991921424866, 0.08720920979976654, -0.05053834617137909, 0.0018962327158078551, 0.0091587845236063, -0.10003425180912018, 0.018190281465649605, 0.023682504892349243, 0.011888490989804268, 0.043753769248723984, 0.01670699566602707, 0.028189947828650475, 0.08138440549373627, -0.034971125423908234, -0.022845136001706123, -0.00980757363140583, -0.01837180182337761, 0.016821665689349174, 0.04630699381232262, -0.11880955845117569, 3.207774207864293e-33, 0.05080397427082062, -0.03483108803629875, 0.03244844824075699, 0.008196498267352581, -0.023899514228105545, -0.08721799403429031, -0.02763620764017105, -0.023585893213748932, 0.027057889848947525, 0.11148640513420105, 0.04075435549020767, 0.06927214562892914, -0.01840026117861271, 0.07120855897665024, 0.02345985174179077, 0.04382549226284027, -0.01615024544298649, 0.05374200642108917, 0.01291063241660595, -0.09005579352378845, 0.01887832023203373, -0.05398159101605415, 0.06990816444158554, -0.026223961263895035, -0.05631528049707413, -0.020719455555081367, 0.03588716685771942, -0.049273405224084854, 0.014225179329514503, 0.007440336048603058, -0.03392159938812256, 0.0798240602016449, -0.03398672863841057, 0.07086014002561569, -0.03485823795199394, -0.04985202103853226, -0.005020319949835539, -0.07819339632987976, 0.004502331838011742, 0.02200956642627716, -0.04620318487286568, -0.026120103895664215, 0.020091408863663673, -0.09566483646631241, -0.03788011893630028, 0.06474769115447998, 0.009263054467737675, -0.02722115069627762, 0.0005375734763219953, -0.038244254887104034, 0.005532064475119114, 0.03552357479929924, -0.022717641666531563, 0.030575480312108994, -0.051517706364393234, 0.0025441772304475307, -0.002137018134817481, -0.03482992947101593, 0.08583249151706696, -0.0007006491650827229, -0.11284579336643219, -0.0030036000534892082, -0.010397504083812237, -0.0998275950551033, -0.09692041575908661, -0.017608290538191795, 0.0032087501604110003, 0.014281201176345348, 0.06597693264484406, 0.0351543091237545, 0.022271744906902313, 0.057870056480169296, -0.06477563828229904, -0.06729120016098022, 0.01992231421172619, 0.012497469782829285, 0.010281974449753761, -0.009660035371780396, -0.04577933996915817, 0.02741910330951214, -0.016716884449124336, 0.046000223606824875, 0.0031129734124988317, -0.027570614591240883, -0.04870849847793579, -0.061556603759527206, -0.02437417395412922, -0.11236376315355301, -0.1404840648174286, -0.06344970315694809, -0.08551756292581558, 0.0638326033949852, 0.04575076699256897, -0.00137943378649652, 0.018626989796757698, -4.415961260634856e-33, -0.08177191019058228, -0.021701237186789513, 0.05405962094664574, -0.013945973478257656, 0.0589543953537941, -0.06465240567922592, -0.06182556226849556, 0.015846790745854378, 0.031842149794101715, -0.07786906510591507, 0.04697421193122864, -0.09080416709184647, 0.01096272747963667, 0.08035898208618164, 0.09646312147378922, 0.08323965221643448, -0.02629149705171585, 0.049559809267520905, -0.007270895875990391, 0.034832850098609924, -0.013122186996042728, -0.001967499265447259, 0.009771719574928284, 0.011193853802978992, 0.04223354533314705, -0.016672782599925995, -0.03913873806595802, -0.024571500718593597, -0.03349032625555992, -0.06033970043063164, -0.12613213062286377, 0.10470325499773026, -0.0860133171081543, -0.00511958310380578, -0.08576511591672897, 0.08846564590930939, -0.05069530010223389, 0.011347286403179169, 0.0014592234510928392, 0.02564501203596592, 0.037333618849515915, 0.01837013103067875, 0.041188474744558334, -0.021224020048975945, 0.010152227245271206, -0.12473507970571518, 0.05886358767747879, 0.02289658971130848, 0.02774088829755783, 0.08863610774278641, 0.013945098035037518, 0.019859779626131058, -0.046082641929388046, 0.028351763263344765, -0.015783261507749557, 0.000228205812163651, 0.0012450047070160508, 0.0009002590668387711, 0.015666473656892776, 0.04241364076733589, 0.0027675251476466656, -0.03695900738239288, 0.003585961414501071, 0.031200125813484192, -0.02541515976190567, -0.07623210549354553, 0.02373921126127243, -0.04045260697603226, -0.04325955733656883, 0.045174695551395416, 0.03012527897953987, 0.0045714108273386955, -0.008090292103588581, 0.014020329341292381, -0.04436956346035004, -0.09354078024625778, 0.0035628569312393665, -0.08651290833950043, -0.07707364112138748, 0.04163814336061478, 0.12010342627763748, -0.00005501145278685726, 0.08571456372737885, -0.04540616273880005, 0.07666890323162079, 0.11116708815097809, 0.02044897899031639, -0.06705804914236069, 0.09532468765974045, -0.02838328294456005, -0.019944151863455772, 0.017617380246520042, -0.0259195975959301, 0.035401325672864914, -0.011538921855390072, -3.868230535886141e-8, -0.02604718692600727, -0.028055967763066292, -0.022794287651777267, -0.03972752392292023, 0.020968889817595482, -0.038450900465250015, 0.026810312643647194, 0.14144109189510345, -0.07293820381164551, -0.042545970529317856, 0.11834202706813812, 0.0026538153178989887, -0.043226029723882675, 0.034497641026973724, 0.02832241915166378, 0.001139481901191175, -0.01963743008673191, 0.026540350168943405, -0.003407518146559596, -0.04233891889452934, -0.029810303822159767, 0.006335129030048847, 0.03564951941370964, 0.031193630769848824, 0.026753678917884827, -0.07790646702051163, 0.013983872719109058, 0.048963870853185654, 0.04910004884004593, -0.025109754875302315, -0.01750755123794079, 0.0023560267873108387, -0.028842972591519356, -0.026272712275385857, 0.05347330868244171, 0.04766196012496948, -0.0003452360979281366, -0.0020269048400223255, -0.10489673167467117, -0.016690757125616074, -0.03079863265156746, 0.04861045256257057, -0.06881729513406754, 0.019231321290135384, 0.031183388084173203, 0.07556993514299393, 0.031022824347019196, -0.03986075147986412, 0.04175204411149025, 0.003703703870996833, 0.00632143672555685, -0.05725463852286339, 0.010757002979516983, -0.006231758743524551, 0.058873504400253296, 0.06089012324810028, -0.029999887570738792, 0.032113634049892426, 0.02663256973028183, -0.05737503245472908, -0.019989874213933945, -0.02715688943862915, -0.04725610092282295, -0.10273769497871399 ]
1402.0121
Alexandre Maurer
Alexandre Maurer (EPFL), S\'ebastien Tixeuil (LINCS, NPA), Xavier D\'efago (JAIST)
Reliable Communication in a Dynamic Network in the Presence of Byzantine Faults
null
null
null
null
cs.DC cs.DS cs.NI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the following problem: two nodes want to reliably communicate in a dynamic multihop network where some nodes have been compromised, and may have a totally arbitrary and unpredictable behavior. These nodes are called Byzantine. We consider the two cases where cryptography is available and not available. We prove the necessary and sufficient condition (that is, the weakest possible condition) to ensure reliable communication in this context. Our proof is constructive, as we provide Byzantine-resilient algorithms for reliable communication that are optimal with respect to our impossibility results. In a second part, we investigate the impact of our conditions in three case studies: participants interacting in a conference, robots moving on a grid and agents in the subway. Our simulations indicate a clear benefit of using our algorithms for reliable communication in those contexts.
[ { "created": "Sat, 1 Feb 2014 20:01:57 GMT", "version": "v1" }, { "created": "Wed, 12 Feb 2014 07:53:09 GMT", "version": "v2" }, { "created": "Tue, 27 May 2014 18:55:43 GMT", "version": "v3" }, { "created": "Mon, 16 Feb 2015 17:34:12 GMT", "version": "v4" } ]
2015-02-17
[ [ "Maurer", "Alexandre", "", "EPFL" ], [ "Tixeuil", "Sébastien", "", "LINCS, NPA" ], [ "Défago", "Xavier", "", "JAIST" ] ]
[ -0.023673687130212784, 0.002844794886186719, 0.005638992413878441, -0.02698064036667347, 0.020685356110334396, -0.07124824821949005, 0.02407826855778694, -0.055793531239032745, 0.033724572509527206, -0.015100115910172462, -0.06154651567339897, 0.04482981190085411, 0.09149379283189774, -0.030427636578679085, -0.01912384293973446, -0.0077033694833517075, 0.1187123954296112, 0.06816105544567108, -0.010082182474434376, -0.0514574870467186, -0.0834025964140892, -0.07361415773630142, 0.02715730480849743, 0.019600089639425278, -0.027993781492114067, 0.008200529962778091, 0.011785678565502167, -0.04686469957232475, -0.04424554854631424, 0.024192551150918007, 0.048595208674669266, -0.01991739496588707, -0.04580729454755783, 0.031630996614694595, -0.04111548885703087, 0.08104413002729416, 0.03774571791291237, -0.021455418318510056, -0.03511108458042145, 0.029460761696100235, 0.007372944615781307, -0.02665793150663376, -0.0026578716933727264, -0.03556480631232262, -0.05130781978368759, -0.02671373449265957, 0.01195171382278204, 0.06843207031488419, -0.0339963473379612, -0.019743019714951515, -0.06605281680822372, -0.022168174386024475, 0.06000996753573418, 0.09076112508773804, 0.016746290028095245, -0.02871451899409294, -0.040873005986213684, 0.044676773250103, 0.03726384788751602, 0.028809601441025734, 0.052069127559661865, 0.013434466905891895, -0.011185957118868828, 0.03617619350552559, 0.008564508520066738, 0.10132713615894318, 0.010469552129507065, 0.08761028945446014, -0.026347024366259575, 0.11418735235929489, 0.07783973217010498, -0.0250521469861269, -0.04576634243130684, 0.041814785450696945, 0.027601277455687523, -0.017972959205508232, -0.03093821369111538, -0.08138225227594376, -0.06871020793914795, 0.06879480183124542, 0.047665711492300034, -0.058534398674964905, -0.05624188855290413, -0.020592741668224335, -0.01712963543832302, -0.057009171694517136, -0.016116686165332794, -0.033893004059791565, 0.10078339278697968, -0.007115745916962624, -0.0795975774526596, 0.08563809841871262, 0.0166319590061903, 0.04137600585818291, 0.04149819537997246, 0.01207136269658804, -0.0012287612771615386, -0.04995066300034523, 0.01634802669286728, 0.09971234202384949, -0.03479455038905144, -0.020545853301882744, -0.0007811883697286248, -0.07193738967180252, 0.03948286175727844, 0.045300040394067764, 0.022102713584899902, -0.03293747082352638, 0.03520987555384636, 0.07701043039560318, -0.008143570274114609, 0.00468426151201129, 0.031617172062397, 0.024642545729875565, -0.007881353609263897, 0.009969700127840042, 0.015479376539587975, 0.07607896625995636, -0.06005578860640526, 0.07104597985744476, 0.043116647750139236, -0.04682162404060364, 0.12327342480421066, -0.0322917215526104, 0.042166467756032944, 0.0071057043969631195, 0.05127093195915222, -2.6369980484721535e-33, -0.03734784200787544, -0.012515481561422348, 0.011518334969878197, 0.07200898975133896, 0.07362242043018341, 0.027858899906277657, 0.010099745355546474, -0.04122154042124748, -0.05042501911520958, -0.053746942430734634, 0.01806597225368023, 0.02662731148302555, 0.0479545071721077, -0.015274548903107643, 0.0718361884355545, -0.03475936874747276, 0.10761845856904984, 0.020102374255657196, 0.06647984683513641, -0.028474431484937668, 0.09177439659833908, -0.05786360427737236, -0.045893725007772446, -0.0007351561216637492, 0.02163904532790184, -0.021533405408263206, -0.010590079240500927, -0.06084106117486954, 0.1273670196533203, 0.006238058675080538, -0.11853353679180145, 0.08021847903728485, 0.03498198464512825, 0.11354078352451324, -0.04806084185838699, 0.11135795712471008, -0.06738852709531784, -0.0853644609451294, -0.01067864615470171, -0.05851300433278084, 0.0006956711295060813, 0.011175166815519333, 0.02490834891796112, -0.05627816542983055, 0.02862347848713398, -0.021415138617157936, -0.030987253412604332, -0.012030056677758694, -0.06891129165887833, -0.029855040833353996, 0.013120438903570175, 0.06125785410404205, -0.04227861016988754, -0.034248486161231995, -0.019779885187745094, -0.0938066765666008, -0.021393636241555214, 0.019046729430556297, 0.010867546312510967, 0.09531466662883759, 0.004163716454058886, 0.012153349816799164, -0.0322912223637104, -0.00017557485261932015, 0.06857574731111526, -0.006628079805523157, -0.03890717029571533, 0.013236012309789658, 0.05980914458632469, 0.015581316314637661, -0.009182547219097614, -0.01915780082345009, -0.008990761823952198, 0.02549440786242485, 0.006023314781486988, -0.024342654272913933, -0.06003448739647865, -0.012549289502203465, -0.0031058473978191614, -0.004846631549298763, -0.025630677118897438, -0.059519212692976, -0.021972883492708206, 0.0915374755859375, -0.0024194009602069855, 0.033251337707042694, -0.047776009887456894, 0.06239666789770126, -0.08582133799791336, 0.0559387169778347, -0.06592296063899994, 0.0005659802700392902, 0.019444435834884644, 0.049140702933073044, -0.021223589777946472, 1.987910179921745e-34, -0.09864640980958939, 0.04707203060388565, -0.04974925145506859, 0.07509061694145203, -0.014380642212927341, -0.042614467442035675, -0.08980296552181244, -0.03790115937590599, -0.018486857414245605, 0.028132010251283646, -0.1341281682252884, -0.08843187242746353, 0.08666182309389114, -0.02554216794669628, 0.032043084502220154, -0.11633795499801636, 0.07733877003192902, -0.025852994993329048, -0.03323439508676529, -0.029931921511888504, 0.073157399892807, 0.01866888999938965, -0.09209326654672623, -0.0009775968501344323, 0.09947585314512253, 0.03765900433063507, -0.019299134612083435, 0.04061279818415642, -0.02301681786775589, 0.006454292684793472, -0.04406485706567764, -0.056857675313949585, -0.01552677247673273, -0.006509813480079174, 0.07385313510894775, 0.04095739871263504, -0.03109665773808956, 0.05967263877391815, -0.000408893363783136, -0.0294076818972826, 0.006201752927154303, -0.004117628559470177, -0.05297297239303589, -0.010149889625608921, 0.00762722035869956, -0.002042248612269759, -0.023203672841191292, 0.06950338184833527, -0.03121188096702099, -0.0509878434240818, 0.01527212094515562, 0.001136729959398508, -0.03719848766922951, -0.025984689593315125, -0.033084530383348465, 0.04487185552716255, -0.051892172545194626, 0.07793574035167694, 0.08178224414587021, 0.010760149918496609, -0.03603636473417282, -0.06429832428693771, -0.03340384364128113, 0.16424249112606049, 0.03802429139614105, 0.021839801222085953, -0.018903227522969246, 0.03497537598013878, 0.033480942249298096, 0.03369995579123497, 0.1544172763824463, 0.062070682644844055, -0.037071678787469864, 0.028734516352415085, 0.07974156737327576, 0.038949426263570786, 0.016365980729460716, 0.03697510063648224, -0.0280322153121233, 0.048197291791439056, -0.03296510502696037, 0.10009719431400299, -0.026015672832727432, -0.027468791231513023, 0.012866557575762272, -0.007193325087428093, 0.058804016560316086, -0.04523181542754173, -0.00918328482657671, -0.00851950142532587, 0.02751929499208927, -0.019819656386971474, -0.06324664503335953, -0.05673147737979889, -0.07459995895624161, -4.604624948001401e-8, -0.015926016494631767, 0.04500361904501915, -0.019437024369835854, -0.03872091323137283, 0.06306205689907074, 0.008193123154342175, 0.02921341173350811, -0.0852017030119896, -0.021078716963529587, 0.02036602608859539, 0.0463738851249218, -0.051490381360054016, -0.01646755449473858, -0.01950371265411377, -0.06285003572702408, 0.028151707723736763, -0.05532984808087349, -0.11999362707138062, -0.06144481524825096, -0.01641017384827137, 0.008007206954061985, -0.04150528460741043, -0.0356127955019474, 0.09446894377470016, -0.048066169023513794, 0.04237867891788483, 0.0228382870554924, 0.022982116788625717, -0.004458809271454811, 0.12786303460597992, -0.12459836900234222, -0.07957080751657486, 0.016841137781739235, 0.03425653278827667, -0.0810168981552124, 0.06984885782003403, -0.06150626763701439, -0.04202618822455406, 0.020033953711390495, -0.01844586245715618, -0.041781045496463776, -0.012089904397726059, 0.005596999544650316, 0.003878930816426873, 0.021830905228853226, -0.05345124006271362, -0.04043271020054817, -0.036276910454034805, 0.0007805154309608042, -0.008227079175412655, -0.044373851269483566, -0.08656048774719238, 0.0009349168976768851, 0.0068898880854249, 0.05374930053949356, -0.045247726142406464, 0.0025601761881262064, -0.08424931764602661, 0.06924527883529663, 0.041849907487630844, 0.0016434999415650964, 0.10084531456232071, -0.0661371648311615, -0.020012497901916504 ]
null
null
null
null
null
null
null
[ -0.023673687130212784, 0.002844794886186719, 0.005638992413878441, -0.02698064036667347, 0.020685356110334396, -0.07124824821949005, 0.02407826855778694, -0.055793531239032745, 0.033724572509527206, -0.015100115910172462, -0.06154651567339897, 0.04482981190085411, 0.09149379283189774, -0.030427636578679085, -0.01912384293973446, -0.0077033694833517075, 0.1187123954296112, 0.06816105544567108, -0.010082182474434376, -0.0514574870467186, -0.0834025964140892, -0.07361415773630142, 0.02715730480849743, 0.019600089639425278, -0.027993781492114067, 0.008200529962778091, 0.011785678565502167, -0.04686469957232475, -0.04424554854631424, 0.024192551150918007, 0.048595208674669266, -0.01991739496588707, -0.04580729454755783, 0.031630996614694595, -0.04111548885703087, 0.08104413002729416, 0.03774571791291237, -0.021455418318510056, -0.03511108458042145, 0.029460761696100235, 0.007372944615781307, -0.02665793150663376, -0.0026578716933727264, -0.03556480631232262, -0.05130781978368759, -0.02671373449265957, 0.01195171382278204, 0.06843207031488419, -0.0339963473379612, -0.019743019714951515, -0.06605281680822372, -0.022168174386024475, 0.06000996753573418, 0.09076112508773804, 0.016746290028095245, -0.02871451899409294, -0.040873005986213684, 0.044676773250103, 0.03726384788751602, 0.028809601441025734, 0.052069127559661865, 0.013434466905891895, -0.011185957118868828, 0.03617619350552559, 0.008564508520066738, 0.10132713615894318, 0.010469552129507065, 0.08761028945446014, -0.026347024366259575, 0.11418735235929489, 0.07783973217010498, -0.0250521469861269, -0.04576634243130684, 0.041814785450696945, 0.027601277455687523, -0.017972959205508232, -0.03093821369111538, -0.08138225227594376, -0.06871020793914795, 0.06879480183124542, 0.047665711492300034, -0.058534398674964905, -0.05624188855290413, -0.020592741668224335, -0.01712963543832302, -0.057009171694517136, -0.016116686165332794, -0.033893004059791565, 0.10078339278697968, -0.007115745916962624, -0.0795975774526596, 0.08563809841871262, 0.0166319590061903, 0.04137600585818291, 0.04149819537997246, 0.01207136269658804, -0.0012287612771615386, -0.04995066300034523, 0.01634802669286728, 0.09971234202384949, -0.03479455038905144, -0.020545853301882744, -0.0007811883697286248, -0.07193738967180252, 0.03948286175727844, 0.045300040394067764, 0.022102713584899902, -0.03293747082352638, 0.03520987555384636, 0.07701043039560318, -0.008143570274114609, 0.00468426151201129, 0.031617172062397, 0.024642545729875565, -0.007881353609263897, 0.009969700127840042, 0.015479376539587975, 0.07607896625995636, -0.06005578860640526, 0.07104597985744476, 0.043116647750139236, -0.04682162404060364, 0.12327342480421066, -0.0322917215526104, 0.042166467756032944, 0.0071057043969631195, 0.05127093195915222, -2.6369980484721535e-33, -0.03734784200787544, -0.012515481561422348, 0.011518334969878197, 0.07200898975133896, 0.07362242043018341, 0.027858899906277657, 0.010099745355546474, -0.04122154042124748, -0.05042501911520958, -0.053746942430734634, 0.01806597225368023, 0.02662731148302555, 0.0479545071721077, -0.015274548903107643, 0.0718361884355545, -0.03475936874747276, 0.10761845856904984, 0.020102374255657196, 0.06647984683513641, -0.028474431484937668, 0.09177439659833908, -0.05786360427737236, -0.045893725007772446, -0.0007351561216637492, 0.02163904532790184, -0.021533405408263206, -0.010590079240500927, -0.06084106117486954, 0.1273670196533203, 0.006238058675080538, -0.11853353679180145, 0.08021847903728485, 0.03498198464512825, 0.11354078352451324, -0.04806084185838699, 0.11135795712471008, -0.06738852709531784, -0.0853644609451294, -0.01067864615470171, -0.05851300433278084, 0.0006956711295060813, 0.011175166815519333, 0.02490834891796112, -0.05627816542983055, 0.02862347848713398, -0.021415138617157936, -0.030987253412604332, -0.012030056677758694, -0.06891129165887833, -0.029855040833353996, 0.013120438903570175, 0.06125785410404205, -0.04227861016988754, -0.034248486161231995, -0.019779885187745094, -0.0938066765666008, -0.021393636241555214, 0.019046729430556297, 0.010867546312510967, 0.09531466662883759, 0.004163716454058886, 0.012153349816799164, -0.0322912223637104, -0.00017557485261932015, 0.06857574731111526, -0.006628079805523157, -0.03890717029571533, 0.013236012309789658, 0.05980914458632469, 0.015581316314637661, -0.009182547219097614, -0.01915780082345009, -0.008990761823952198, 0.02549440786242485, 0.006023314781486988, -0.024342654272913933, -0.06003448739647865, -0.012549289502203465, -0.0031058473978191614, -0.004846631549298763, -0.025630677118897438, -0.059519212692976, -0.021972883492708206, 0.0915374755859375, -0.0024194009602069855, 0.033251337707042694, -0.047776009887456894, 0.06239666789770126, -0.08582133799791336, 0.0559387169778347, -0.06592296063899994, 0.0005659802700392902, 0.019444435834884644, 0.049140702933073044, -0.021223589777946472, 1.987910179921745e-34, -0.09864640980958939, 0.04707203060388565, -0.04974925145506859, 0.07509061694145203, -0.014380642212927341, -0.042614467442035675, -0.08980296552181244, -0.03790115937590599, -0.018486857414245605, 0.028132010251283646, -0.1341281682252884, -0.08843187242746353, 0.08666182309389114, -0.02554216794669628, 0.032043084502220154, -0.11633795499801636, 0.07733877003192902, -0.025852994993329048, -0.03323439508676529, -0.029931921511888504, 0.073157399892807, 0.01866888999938965, -0.09209326654672623, -0.0009775968501344323, 0.09947585314512253, 0.03765900433063507, -0.019299134612083435, 0.04061279818415642, -0.02301681786775589, 0.006454292684793472, -0.04406485706567764, -0.056857675313949585, -0.01552677247673273, -0.006509813480079174, 0.07385313510894775, 0.04095739871263504, -0.03109665773808956, 0.05967263877391815, -0.000408893363783136, -0.0294076818972826, 0.006201752927154303, -0.004117628559470177, -0.05297297239303589, -0.010149889625608921, 0.00762722035869956, -0.002042248612269759, -0.023203672841191292, 0.06950338184833527, -0.03121188096702099, -0.0509878434240818, 0.01527212094515562, 0.001136729959398508, -0.03719848766922951, -0.025984689593315125, -0.033084530383348465, 0.04487185552716255, -0.051892172545194626, 0.07793574035167694, 0.08178224414587021, 0.010760149918496609, -0.03603636473417282, -0.06429832428693771, -0.03340384364128113, 0.16424249112606049, 0.03802429139614105, 0.021839801222085953, -0.018903227522969246, 0.03497537598013878, 0.033480942249298096, 0.03369995579123497, 0.1544172763824463, 0.062070682644844055, -0.037071678787469864, 0.028734516352415085, 0.07974156737327576, 0.038949426263570786, 0.016365980729460716, 0.03697510063648224, -0.0280322153121233, 0.048197291791439056, -0.03296510502696037, 0.10009719431400299, -0.026015672832727432, -0.027468791231513023, 0.012866557575762272, -0.007193325087428093, 0.058804016560316086, -0.04523181542754173, -0.00918328482657671, -0.00851950142532587, 0.02751929499208927, -0.019819656386971474, -0.06324664503335953, -0.05673147737979889, -0.07459995895624161, -4.604624948001401e-8, -0.015926016494631767, 0.04500361904501915, -0.019437024369835854, -0.03872091323137283, 0.06306205689907074, 0.008193123154342175, 0.02921341173350811, -0.0852017030119896, -0.021078716963529587, 0.02036602608859539, 0.0463738851249218, -0.051490381360054016, -0.01646755449473858, -0.01950371265411377, -0.06285003572702408, 0.028151707723736763, -0.05532984808087349, -0.11999362707138062, -0.06144481524825096, -0.01641017384827137, 0.008007206954061985, -0.04150528460741043, -0.0356127955019474, 0.09446894377470016, -0.048066169023513794, 0.04237867891788483, 0.0228382870554924, 0.022982116788625717, -0.004458809271454811, 0.12786303460597992, -0.12459836900234222, -0.07957080751657486, 0.016841137781739235, 0.03425653278827667, -0.0810168981552124, 0.06984885782003403, -0.06150626763701439, -0.04202618822455406, 0.020033953711390495, -0.01844586245715618, -0.041781045496463776, -0.012089904397726059, 0.005596999544650316, 0.003878930816426873, 0.021830905228853226, -0.05345124006271362, -0.04043271020054817, -0.036276910454034805, 0.0007805154309608042, -0.008227079175412655, -0.044373851269483566, -0.08656048774719238, 0.0009349168976768851, 0.0068898880854249, 0.05374930053949356, -0.045247726142406464, 0.0025601761881262064, -0.08424931764602661, 0.06924527883529663, 0.041849907487630844, 0.0016434999415650964, 0.10084531456232071, -0.0661371648311615, -0.020012497901916504 ]
1402.0123
Brian Odom
Christopher M. Seck, Edward G. Hohenstein, Chien-Yu Lien, Patrick R. Stollenwerk, Brian C. Odom
Rotational State Analysis of AlH+ by Two-Photon Dissociation
null
J. Mol. Spectrosc. 300, 108 (2014)
10.1016/j.jms.2014.03.023
null
physics.atom-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We perform ab-initio calculations needed to predict the cross-section of an experimentally accessible (1+1') resonance-enhanced multiphoton dissociation (REMPD) pathway in AlH+. Experimenting on AlH+ ions held in a radiofrequency Paul trap, we confirm dissociation via this channel with analysis performed using time-of-flight mass spectrometry. We demonstrate the use of REMPD for rotational state analysis, and we measure the rotational distribution of trapped AlH+ to be consistent with the expected thermal distribution. AlH+ is a particularly interesting species for ion trap work because of its electronic level structure, which makes it amenable to proposals for rotational optical pumping, direct Doppler cooling, and single-molecule fluorescence detection. Potential applications of trapped AlH+ include searches for time-varying constants, quantum information processing, and ultracold chemistry studies.
[ { "created": "Sat, 1 Feb 2014 20:17:29 GMT", "version": "v1" }, { "created": "Sat, 20 Feb 2016 20:42:24 GMT", "version": "v2" } ]
2016-02-23
[ [ "Seck", "Christopher M.", "" ], [ "Hohenstein", "Edward G.", "" ], [ "Lien", "Chien-Yu", "" ], [ "Stollenwerk", "Patrick R.", "" ], [ "Odom", "Brian C.", "" ] ]
[ -0.018698353320360184, -0.055718909949064255, 0.014917267486453056, 0.03305746987462044, -0.041495390236377716, -0.041598882526159286, 0.0053106639534235, -0.07652200758457184, 0.05326623469591141, 0.04910830780863762, 0.019383756443858147, -0.08794879168272018, 0.015790041536092758, -0.007242763880640268, -0.01572473905980587, 0.09722109884023666, -0.022016631439328194, -0.00732139078900218, -0.040255654603242874, 0.036280617117881775, 0.006210948806256056, -0.04834253713488579, 0.0033139842562377453, 0.034689757972955704, 0.034588251262903214, 0.058560676872730255, -0.027348248288035393, 0.010378911159932613, -0.0011708238162100315, -0.011276835575699806, 0.07143079489469528, 0.0315404087305069, -0.10195639729499817, 0.002078660298138857, 0.02011655643582344, -0.007497715763747692, 0.033367954194545746, 0.025148171931505203, -0.019142381846904755, 0.010208484716713428, 0.07886319607496262, 0.03192641958594322, 0.07118473201990128, 0.0358673632144928, -0.008232811465859413, -0.0005826301057823002, 0.02231450192630291, 0.00807963963598013, -0.021039705723524094, 0.018565380945801735, 0.045549944043159485, 0.034099139273166656, -0.006859887391328812, 0.14054886996746063, -0.001870187115855515, 0.03594079986214638, -0.018868518993258476, 0.08040627837181091, -0.021786192432045937, -0.019807735458016396, 0.00014882178220432252, 0.017034320160746574, -0.004854193422943354, 0.01417626440525055, -0.005351535975933075, 0.04693402722477913, -0.008355162106454372, -0.05820946767926216, 0.0454343780875206, -0.007696741260588169, -0.028498567640781403, -0.06439489871263504, 0.002089540706947446, -0.013714862987399101, 0.11300434172153473, 0.024540172889828682, -0.028122691437602043, -0.0266558900475502, -0.02981175296008587, -0.033139050006866455, 0.07577532529830933, -0.03478251025080681, 0.038456905633211136, 0.026049479842185974, 0.04999205097556114, -0.002427641535177827, 0.03977620229125023, 0.03504936769604683, -0.026578422635793686, -0.10146079957485199, -0.06756275147199631, -0.09667753428220749, -0.05526895448565483, -0.09775705635547638, -0.003983109723776579, 0.04584157466888428, 0.0611608624458313, 0.01888054981827736, -0.014094709418714046, 0.0072256731800735, 0.0450013242661953, -0.0162777341902256, -0.058603040874004364, 0.0542367547750473, -0.0983673483133316, 0.001064050360582769, 0.12309329211711884, 0.08222046494483948, -0.08101442456245422, -0.013103019446134567, 0.06331558525562286, 0.02285655401647091, 0.06781788915395737, 0.004446926061064005, 0.07988840341567993, 0.03686447814106941, -0.07423074543476105, -0.08204853534698486, -0.011547902598977089, -0.025812361389398575, -0.07934828847646713, 0.011762171052396297, 0.015775663778185844, 0.09077132493257523, -0.013203518465161324, 0.06082908436655998, -0.10369598120450974, 1.2205097233160347e-33, 0.0374128520488739, 0.052344728261232376, -0.023787498474121094, 0.0024344774428755045, -0.06541623175144196, -0.08959878981113434, -0.05577145516872406, 0.005998158827424049, -0.12760499119758606, 0.04682738706469536, 0.07662681490182877, -0.027925850823521614, 0.07241568714380264, -0.014005064964294434, -0.009428500197827816, -0.0014140406856313348, 0.02104775235056877, 0.013354898430407047, 0.04950267821550369, -0.03800097107887268, -0.061025798320770264, 0.04701443016529083, -0.06152806431055069, 0.0052627744153141975, -0.013170551508665085, 0.13987332582473755, -0.03095453977584839, -0.005998069886118174, -0.019292384386062622, -0.030296439304947853, 0.008110364899039268, 0.11323140561580658, -0.12840571999549866, -0.03737201541662216, -0.0011681568576022983, -0.020716777071356773, -0.07229923456907272, 0.04232832044363022, 0.015563514083623886, -0.03218661993741989, -0.014081805013120174, 0.01105028297752142, -0.026726147159934044, -0.02481432445347309, 0.026480676606297493, -0.03412330150604248, -0.06278637796640396, -0.03163488209247589, 0.09528985619544983, -0.0006690764566883445, 0.04390009865164757, -0.012953582219779491, 0.022008642554283142, 0.03302209451794624, -0.03286027908325195, 0.018778612837195396, 0.04342101886868477, -0.04477894678711891, 0.016331350430846214, 0.09351524710655212, -0.06729227304458618, 0.005690963007509708, 0.003158167004585266, 0.010872157290577888, -0.09231676906347275, 0.05075639858841896, -0.08278344571590424, 0.001959576504305005, 0.031747132539749146, 0.07491590082645416, -0.04450851306319237, 0.05030491575598717, 0.07802791893482208, -0.06497002393007278, 0.07948862761259079, 0.0781288892030716, 0.03799161687493324, -0.025416843593120575, 0.0505768321454525, 0.0479687862098217, 0.06860856711864471, -0.08005786687135696, 0.04056848585605621, 0.008365856483578682, -0.14546939730644226, -0.07571239024400711, -0.015239298343658447, -0.07027609646320343, -0.08416614681482315, 0.054761599749326706, 0.05669130012392998, 0.029325097799301147, 0.04811197519302368, -0.05107096955180168, -0.057940773665905, -2.7568687175552716e-33, 0.011336124502122402, -0.013174206018447876, 0.024054720997810364, -0.045048583298921585, -0.011886876076459885, 0.03403632715344429, 0.02286108210682869, 0.011794342659413815, 0.0458420030772686, -0.05212550610303879, 0.120723195374012, 0.008941438980400562, -0.05433040112257004, -0.011213593184947968, -0.008428523316979408, -0.0013395351124927402, -0.021429644897580147, -0.04379528388381004, 0.17639461159706116, 0.06512213498353958, 0.0436190664768219, 0.03784811496734619, 0.03283824399113655, -0.05585877224802971, 0.03542189672589302, 0.02674572914838791, 0.14716506004333496, -0.031035959720611572, 0.0713968500494957, 0.0064682611264288425, -0.05779365077614784, 0.06820408254861832, -0.02059926837682724, 0.012317094951868057, -0.04749249666929245, 0.05283450707793236, -0.08217566460371017, -0.005453845020383596, -0.09831646084785461, -0.024294862523674965, 0.04968914017081261, 0.01877315156161785, -0.055581558495759964, 0.013780612498521805, 0.06411588191986084, 0.0857948511838913, -0.08426445722579956, 0.07950925081968307, 0.03097820095717907, -0.07931225001811981, -0.021769093349575996, -0.002528579207137227, -0.03139388933777809, 0.008854611776769161, -0.01951882429420948, 0.0777571052312851, 0.007435353472828865, 0.009049923159182072, 0.01848401315510273, -0.016206322237849236, -0.07310321182012558, -0.015276545658707619, 0.038478732109069824, -0.08571390807628632, -0.08669839054346085, -0.010628694668412209, -0.008855752646923065, -0.05128662660717964, -0.014025264419615269, -0.005282755009829998, 0.06630953401327133, -0.0027767932042479515, 0.044654715806245804, 0.03251300007104874, 0.046528104692697525, -0.021937502548098564, 0.018736321479082108, -0.11956912279129028, -0.05118608474731445, 0.014732942916452885, -0.0066427323035895824, 0.035530149936676025, -0.049301568418741226, -0.07851588726043701, 0.09821169078350067, 0.044512100517749786, -0.07313167303800583, -0.0005351536674425006, -0.06832890212535858, -0.025364335626363754, 0.009617354720830917, -0.007983928546309471, 0.014467207714915276, -0.04024462774395943, 0.05460350215435028, -4.582873458502945e-8, 0.016603248193860054, -0.025112580507993698, 0.01238988246768713, 0.030743775889277458, 0.0014593095984309912, 0.06525149196386337, 0.03786448389291763, -0.009367666207253933, -0.013056871481239796, -0.00003939074667869136, 0.0680169016122818, -0.051076050847768784, 0.029473556205630302, 0.04101468250155449, 0.04504984989762306, 0.041159458458423615, -0.057723771780729294, -0.11108017712831497, -0.049127671867609024, 0.0007538245408795774, -0.031757060438394547, 0.03800053149461746, 0.037825219333171844, -0.07404414564371109, -0.0358380526304245, -0.011563270352780819, -0.03282861411571503, 0.026639962568879128, -0.04922328144311905, -0.04797167330980301, 0.01980302855372429, 0.005537628196179867, 0.04484337940812111, 0.029781611636281013, 0.021320153027772903, -0.023043889552354813, -0.07087370753288269, 0.07229050993919373, -0.034635547548532486, 0.019712945446372032, -0.0972958356142044, 0.039662498980760574, -0.060737285763025284, 0.01575964130461216, -0.013993358239531517, 0.025188839063048363, -0.043850332498550415, 0.01969059370458126, 0.004713971167802811, 0.059877488762140274, 0.020469246432185173, -0.07391674816608429, 0.018576636910438538, -0.026943786069750786, -0.06820939481258392, -0.00079062778968364, -0.032927256077528, -0.022074377164244652, -0.023710809648036957, -0.02272775210440159, 0.08024770766496658, -0.07219389826059341, -0.03239993005990982, -0.0631902664899826 ]
null
null
null
null
null
null
null
[ -0.018698353320360184, -0.055718909949064255, 0.014917267486453056, 0.03305746987462044, -0.041495390236377716, -0.041598882526159286, 0.0053106639534235, -0.07652200758457184, 0.05326623469591141, 0.04910830780863762, 0.019383756443858147, -0.08794879168272018, 0.015790041536092758, -0.007242763880640268, -0.01572473905980587, 0.09722109884023666, -0.022016631439328194, -0.00732139078900218, -0.040255654603242874, 0.036280617117881775, 0.006210948806256056, -0.04834253713488579, 0.0033139842562377453, 0.034689757972955704, 0.034588251262903214, 0.058560676872730255, -0.027348248288035393, 0.010378911159932613, -0.0011708238162100315, -0.011276835575699806, 0.07143079489469528, 0.0315404087305069, -0.10195639729499817, 0.002078660298138857, 0.02011655643582344, -0.007497715763747692, 0.033367954194545746, 0.025148171931505203, -0.019142381846904755, 0.010208484716713428, 0.07886319607496262, 0.03192641958594322, 0.07118473201990128, 0.0358673632144928, -0.008232811465859413, -0.0005826301057823002, 0.02231450192630291, 0.00807963963598013, -0.021039705723524094, 0.018565380945801735, 0.045549944043159485, 0.034099139273166656, -0.006859887391328812, 0.14054886996746063, -0.001870187115855515, 0.03594079986214638, -0.018868518993258476, 0.08040627837181091, -0.021786192432045937, -0.019807735458016396, 0.00014882178220432252, 0.017034320160746574, -0.004854193422943354, 0.01417626440525055, -0.005351535975933075, 0.04693402722477913, -0.008355162106454372, -0.05820946767926216, 0.0454343780875206, -0.007696741260588169, -0.028498567640781403, -0.06439489871263504, 0.002089540706947446, -0.013714862987399101, 0.11300434172153473, 0.024540172889828682, -0.028122691437602043, -0.0266558900475502, -0.02981175296008587, -0.033139050006866455, 0.07577532529830933, -0.03478251025080681, 0.038456905633211136, 0.026049479842185974, 0.04999205097556114, -0.002427641535177827, 0.03977620229125023, 0.03504936769604683, -0.026578422635793686, -0.10146079957485199, -0.06756275147199631, -0.09667753428220749, -0.05526895448565483, -0.09775705635547638, -0.003983109723776579, 0.04584157466888428, 0.0611608624458313, 0.01888054981827736, -0.014094709418714046, 0.0072256731800735, 0.0450013242661953, -0.0162777341902256, -0.058603040874004364, 0.0542367547750473, -0.0983673483133316, 0.001064050360582769, 0.12309329211711884, 0.08222046494483948, -0.08101442456245422, -0.013103019446134567, 0.06331558525562286, 0.02285655401647091, 0.06781788915395737, 0.004446926061064005, 0.07988840341567993, 0.03686447814106941, -0.07423074543476105, -0.08204853534698486, -0.011547902598977089, -0.025812361389398575, -0.07934828847646713, 0.011762171052396297, 0.015775663778185844, 0.09077132493257523, -0.013203518465161324, 0.06082908436655998, -0.10369598120450974, 1.2205097233160347e-33, 0.0374128520488739, 0.052344728261232376, -0.023787498474121094, 0.0024344774428755045, -0.06541623175144196, -0.08959878981113434, -0.05577145516872406, 0.005998158827424049, -0.12760499119758606, 0.04682738706469536, 0.07662681490182877, -0.027925850823521614, 0.07241568714380264, -0.014005064964294434, -0.009428500197827816, -0.0014140406856313348, 0.02104775235056877, 0.013354898430407047, 0.04950267821550369, -0.03800097107887268, -0.061025798320770264, 0.04701443016529083, -0.06152806431055069, 0.0052627744153141975, -0.013170551508665085, 0.13987332582473755, -0.03095453977584839, -0.005998069886118174, -0.019292384386062622, -0.030296439304947853, 0.008110364899039268, 0.11323140561580658, -0.12840571999549866, -0.03737201541662216, -0.0011681568576022983, -0.020716777071356773, -0.07229923456907272, 0.04232832044363022, 0.015563514083623886, -0.03218661993741989, -0.014081805013120174, 0.01105028297752142, -0.026726147159934044, -0.02481432445347309, 0.026480676606297493, -0.03412330150604248, -0.06278637796640396, -0.03163488209247589, 0.09528985619544983, -0.0006690764566883445, 0.04390009865164757, -0.012953582219779491, 0.022008642554283142, 0.03302209451794624, -0.03286027908325195, 0.018778612837195396, 0.04342101886868477, -0.04477894678711891, 0.016331350430846214, 0.09351524710655212, -0.06729227304458618, 0.005690963007509708, 0.003158167004585266, 0.010872157290577888, -0.09231676906347275, 0.05075639858841896, -0.08278344571590424, 0.001959576504305005, 0.031747132539749146, 0.07491590082645416, -0.04450851306319237, 0.05030491575598717, 0.07802791893482208, -0.06497002393007278, 0.07948862761259079, 0.0781288892030716, 0.03799161687493324, -0.025416843593120575, 0.0505768321454525, 0.0479687862098217, 0.06860856711864471, -0.08005786687135696, 0.04056848585605621, 0.008365856483578682, -0.14546939730644226, -0.07571239024400711, -0.015239298343658447, -0.07027609646320343, -0.08416614681482315, 0.054761599749326706, 0.05669130012392998, 0.029325097799301147, 0.04811197519302368, -0.05107096955180168, -0.057940773665905, -2.7568687175552716e-33, 0.011336124502122402, -0.013174206018447876, 0.024054720997810364, -0.045048583298921585, -0.011886876076459885, 0.03403632715344429, 0.02286108210682869, 0.011794342659413815, 0.0458420030772686, -0.05212550610303879, 0.120723195374012, 0.008941438980400562, -0.05433040112257004, -0.011213593184947968, -0.008428523316979408, -0.0013395351124927402, -0.021429644897580147, -0.04379528388381004, 0.17639461159706116, 0.06512213498353958, 0.0436190664768219, 0.03784811496734619, 0.03283824399113655, -0.05585877224802971, 0.03542189672589302, 0.02674572914838791, 0.14716506004333496, -0.031035959720611572, 0.0713968500494957, 0.0064682611264288425, -0.05779365077614784, 0.06820408254861832, -0.02059926837682724, 0.012317094951868057, -0.04749249666929245, 0.05283450707793236, -0.08217566460371017, -0.005453845020383596, -0.09831646084785461, -0.024294862523674965, 0.04968914017081261, 0.01877315156161785, -0.055581558495759964, 0.013780612498521805, 0.06411588191986084, 0.0857948511838913, -0.08426445722579956, 0.07950925081968307, 0.03097820095717907, -0.07931225001811981, -0.021769093349575996, -0.002528579207137227, -0.03139388933777809, 0.008854611776769161, -0.01951882429420948, 0.0777571052312851, 0.007435353472828865, 0.009049923159182072, 0.01848401315510273, -0.016206322237849236, -0.07310321182012558, -0.015276545658707619, 0.038478732109069824, -0.08571390807628632, -0.08669839054346085, -0.010628694668412209, -0.008855752646923065, -0.05128662660717964, -0.014025264419615269, -0.005282755009829998, 0.06630953401327133, -0.0027767932042479515, 0.044654715806245804, 0.03251300007104874, 0.046528104692697525, -0.021937502548098564, 0.018736321479082108, -0.11956912279129028, -0.05118608474731445, 0.014732942916452885, -0.0066427323035895824, 0.035530149936676025, -0.049301568418741226, -0.07851588726043701, 0.09821169078350067, 0.044512100517749786, -0.07313167303800583, -0.0005351536674425006, -0.06832890212535858, -0.025364335626363754, 0.009617354720830917, -0.007983928546309471, 0.014467207714915276, -0.04024462774395943, 0.05460350215435028, -4.582873458502945e-8, 0.016603248193860054, -0.025112580507993698, 0.01238988246768713, 0.030743775889277458, 0.0014593095984309912, 0.06525149196386337, 0.03786448389291763, -0.009367666207253933, -0.013056871481239796, -0.00003939074667869136, 0.0680169016122818, -0.051076050847768784, 0.029473556205630302, 0.04101468250155449, 0.04504984989762306, 0.041159458458423615, -0.057723771780729294, -0.11108017712831497, -0.049127671867609024, 0.0007538245408795774, -0.031757060438394547, 0.03800053149461746, 0.037825219333171844, -0.07404414564371109, -0.0358380526304245, -0.011563270352780819, -0.03282861411571503, 0.026639962568879128, -0.04922328144311905, -0.04797167330980301, 0.01980302855372429, 0.005537628196179867, 0.04484337940812111, 0.029781611636281013, 0.021320153027772903, -0.023043889552354813, -0.07087370753288269, 0.07229050993919373, -0.034635547548532486, 0.019712945446372032, -0.0972958356142044, 0.039662498980760574, -0.060737285763025284, 0.01575964130461216, -0.013993358239531517, 0.025188839063048363, -0.043850332498550415, 0.01969059370458126, 0.004713971167802811, 0.059877488762140274, 0.020469246432185173, -0.07391674816608429, 0.018576636910438538, -0.026943786069750786, -0.06820939481258392, -0.00079062778968364, -0.032927256077528, -0.022074377164244652, -0.023710809648036957, -0.02272775210440159, 0.08024770766496658, -0.07219389826059341, -0.03239993005990982, -0.0631902664899826 ]
1402.0126
Peter Mucha
Skyler J. Cranmer, Elizabeth J. Menninga and Peter J. Mucha
Kantian fractionalization predicts the conflict propensity of the international system
17 pages + 17 pages designed as supplementary online material
null
10.1073/pnas.1509423112
null
physics.soc-ph cs.SI physics.data-an
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The study of complex social and political phenomena with the perspective and methods of network science has proven fruitful in a variety of areas, including applications in political science and more narrowly the field of international relations. We propose a new line of research in the study of international conflict by showing that the multiplex fractionalization of the international system (which we label Kantian fractionalization) is a powerful predictor of the propensity for violent interstate conflict, a key indicator of the system's stability. In so doing, we also demonstrate the first use of multislice modularity for community detection in a multiplex network application. Even after controlling for established system-level conflict indicators, we find that Kantian fractionalization contributes more to model fit for violent interstate conflict than previously established measures. Moreover, evaluating the influence of each of the constituent networks shows that joint democracy plays little, if any, role in predicting system stability, thus challenging a major empirical finding of the international relations literature. Lastly, a series of Granger causal tests shows that the temporal variability of Kantian fractionalization is consistent with a causal relationship with the prevalence of conflict in the international system. This causal relationship has real-world policy implications as changes in Kantian fractionalization could serve as an early warning sign of international instability.
[ { "created": "Sat, 1 Feb 2014 21:29:34 GMT", "version": "v1" } ]
2016-02-17
[ [ "Cranmer", "Skyler J.", "" ], [ "Menninga", "Elizabeth J.", "" ], [ "Mucha", "Peter J.", "" ] ]
[ 0.004970754496753216, -0.1075979545712471, -0.009011032059788704, -0.01257420890033245, 0.023728007450699806, 0.007942788302898407, -0.037167612463235855, -0.04179356247186661, 0.0678342655301094, -0.02147710509598255, -0.005200240761041641, 0.009733189828693867, 0.05188693478703499, 0.06608601659536362, -0.08171918243169785, -0.007209033705294132, -0.0533347949385643, 0.026586003601551056, -0.0938175693154335, 0.021170826628804207, -0.024485765025019646, -0.05050927773118019, 0.03362111747264862, 0.034359484910964966, 0.07568009197711945, -0.00871632806956768, 0.01387600414454937, 0.008189447224140167, -0.009151410311460495, 0.029215626418590546, 0.055283743888139725, 0.04487331956624985, -0.048942502588033676, -0.017666315659880638, -0.04230162501335144, -0.026384050026535988, 0.08929260075092316, -0.020728016272187233, 0.10733985155820847, -0.008127601817250252, 0.06842023134231567, -0.00505678728222847, 0.06417594850063324, -0.039408955723047256, -0.06606539338827133, 0.06450000405311584, -0.0026790297124534845, 0.060541458427906036, -0.08157216757535934, -0.021380282938480377, -0.0176397655159235, 0.016450194641947746, -0.015210713259875774, 0.019470129162073135, 0.08278954774141312, -0.08490016311407089, -0.0027437093667685986, 0.06369797885417938, -0.024727538228034973, 0.008079033344984055, -0.03020375780761242, 0.05021319165825844, -0.056682340800762177, 0.01386814471334219, 0.0535300187766552, 0.06329954415559769, 0.017560461536049843, 0.0685475617647171, -0.03556838259100914, 0.014372037723660469, 0.05415130779147148, 0.046040501445531845, -0.019120164215564728, 0.0022667045705020428, 0.053022097796201706, -0.01713685505092144, -0.0070987846702337265, -0.012291442602872849, 0.031098665669560432, -0.03529976308345795, 0.05677315965294838, 0.09800641983747482, 0.032830867916345596, -0.01647253707051277, 0.12906141579151154, -0.041803013533353806, 0.07397288084030151, -0.03522634506225586, 0.10101732611656189, 0.044337980449199677, -0.030224831774830818, 0.10840346664190292, 0.18427157402038574, -0.003152610966935754, 0.06026971712708473, 0.03371250629425049, 0.08699288219213486, 0.01883506402373314, 0.03590521588921547, 0.07102135568857193, 0.039407067000865936, -0.08256465196609497, -0.018758460879325867, -0.021881839260458946, -0.013244427740573883, -0.054769258946180344, -0.019980531185865402, -0.01625022292137146, -0.03927415981888771, 0.07831426709890366, -0.07531902194023132, -0.08081775158643723, -0.03311527520418167, -0.028624042868614197, -0.022271258756518364, -0.11486059427261353, 0.1062542051076889, -0.0030574649572372437, 0.04102728143334389, -0.05909832566976547, -0.04176010936498642, -0.0707438737154007, -0.029969792813062668, -0.00943820085376501, 0.06713983416557312, 0.015274467878043652, -0.07870318740606308, 1.544374763685891e-33, -0.05014367401599884, -0.06530028581619263, -0.04287586733698845, 0.09601255506277084, -0.07484745979309082, 0.023985352367162704, -0.08396311849355698, -0.016121717169880867, -0.05139599367976189, 0.003396278480067849, -0.052981942892074585, 0.11848155409097672, 0.02352125570178032, -0.025604844093322754, 0.04672646522521973, 0.02483493834733963, 0.023107675835490227, 0.03554665669798851, 0.03144357353448868, -0.07369107753038406, -0.011935247108340263, -0.056760985404253006, 0.06438867002725601, 0.011291070841252804, 0.07701285928487778, -0.018292687833309174, -0.056739527732133865, 0.03897494450211525, -0.004958086647093296, -0.013548051007091999, -0.011165468953549862, 0.04996988922357559, -0.009982233867049217, -0.03234371170401573, 0.03935649245977402, 0.05670551583170891, -0.01879456825554371, -0.028211327269673347, -0.02403351478278637, 0.016920505091547966, -0.08780039846897125, 0.03621087595820427, -0.05153144150972366, -0.04305345192551613, 0.1097187027335167, -0.03076244704425335, -0.00515469117090106, 0.012523594312369823, -0.06564879417419434, -0.04321151226758957, 0.013887148350477219, 0.006121230777353048, 0.05245750769972801, -0.05602457746863365, -0.017290035262703896, 0.06373170018196106, -0.028483081609010696, 0.044340021908283234, -0.015350772999227047, -0.027129702270030975, -0.05029413476586342, -0.039883457124233246, 0.03706156834959984, 0.006290278863161802, 0.08358637243509293, 0.05789375305175781, -0.10207482427358627, 0.05068087950348854, 0.035734206438064575, -0.002656463300809264, -0.0004121005767956376, 0.05812844634056091, -0.022212771698832512, 0.0312357097864151, -0.05260331183671951, 0.006694415118545294, -0.007282096426934004, -0.034324899315834045, 0.015904616564512253, 0.0025355529505759478, -0.08140145242214203, -0.05886884033679962, 0.09266196191310883, 0.022775771096348763, -0.03436766564846039, -0.008646540343761444, 0.031599417328834534, 0.012700392864644527, 0.014850612729787827, 0.019188405945897102, -0.05043049901723862, -0.047780439257621765, 0.05622241646051407, 0.028542600572109222, -0.019816523417830467, -3.21448407655558e-33, -0.07061833143234253, -0.07994361966848373, -0.04267597571015358, 0.003224308369681239, -0.0284461360424757, -0.04910361394286156, 0.007306442596018314, -0.03794391080737114, 0.009850320406258106, 0.003327424405142665, 0.06248319149017334, -0.08539146184921265, 0.04176589846611023, 0.06199198216199875, 0.008049662224948406, -0.037055861204862595, 0.0348656140267849, 0.02415529638528824, 0.01097754668444395, 0.04066411033272743, 0.05243074521422386, -0.00838861707597971, -0.022619692608714104, -0.01594632863998413, -0.016043582931160927, -0.04525277391076088, -0.013890423811972141, -0.062389589846134186, 0.006408424582332373, 0.0016339607536792755, -0.00018058647401630878, -0.07360120862722397, -0.0017539331456646323, -0.020065784454345703, -0.046534281224012375, 0.05813716724514961, -0.02321743406355381, -0.12064599990844727, 0.017543774098157883, -0.033259306102991104, -0.07164531946182251, -0.0010723811574280262, -0.09268433600664139, -0.03926076367497444, -0.07063828408718109, 0.017849059775471687, 0.05766992270946503, 0.08975152671337128, -0.05389643460512161, -0.07340596616268158, 0.01709858886897564, 0.040620237588882446, -0.08547421544790268, 0.04864456132054329, 0.008395741693675518, 0.05462682247161865, 0.02571544051170349, -0.0032073555048555136, 0.026464156806468964, -0.055906325578689575, -0.1093057319521904, 0.0028832813259214163, -0.02464407868683338, 0.0286105927079916, 0.001766442903317511, -0.033351100981235504, 0.019301507622003555, -0.04151805117726326, 0.13647134602069855, 0.014831154607236385, 0.1013784259557724, 0.08378475904464722, -0.051961179822683334, 0.007361006457358599, 0.047749727964401245, -0.04680773988366127, 0.019223015755414963, 0.08499553054571152, -0.0011403127573430538, 0.005430808290839195, -0.014856258407235146, 0.027409009635448456, -0.0333547405898571, -0.046105701476335526, -0.02483144775032997, 0.021959451958537102, 0.07922162115573883, 0.09199608862400055, 0.04824777692556381, -0.031252115964889526, 0.003041001968085766, -0.04460442066192627, -0.046137258410453796, -0.0038439915515482426, 0.011955060064792633, -4.7101838873686575e-8, 0.004715820774435997, 0.01617419719696045, -0.09295560419559479, 0.05412096157670021, -0.04883134365081787, 0.031547848135232925, -0.00952322781085968, -0.04482361674308777, -0.038410380482673645, 0.0675356388092041, 0.1318192332983017, 0.007070636842399836, -0.06029301509261131, -0.10410259664058685, -0.028183510527014732, -0.0639929473400116, 0.03240408003330231, 0.009934359230101109, -0.06074526906013489, -0.038878217339515686, 0.028856033459305763, -0.044670119881629944, 0.0013792585814371705, -0.021938849240541458, 0.12106416374444962, -0.04588472843170166, -0.12707491219043732, 0.037745386362075806, -0.06848976761102676, -0.004437391646206379, 0.0021775278728455305, -0.02564219757914543, -0.09554680436849594, -0.044698525220155716, 0.019487503916025162, 0.12886914610862732, -0.005761889740824699, 0.022758549079298973, 0.007979759015142918, 0.021222762763500214, -0.017287131398916245, 0.0571153461933136, 0.0023680180311203003, 0.02939007617533207, 0.02743498422205448, 0.0038790313992649317, 0.0030185373034328222, -0.008534788154065609, 0.05672408267855644, -0.03337155655026436, -0.010570071637630463, 0.021347427740693092, -0.003996704705059528, 0.03712824359536171, 0.016536036506295204, -0.0062932115979492664, 0.02478177100419998, 0.06097324565052986, -0.042488642036914825, 0.08116763830184937, 0.04853503778576851, -0.022166654467582703, -0.10380972921848297, -0.09364541620016098 ]
null
null
null
null
null
null
null
[ 0.004970754496753216, -0.1075979545712471, -0.009011032059788704, -0.01257420890033245, 0.023728007450699806, 0.007942788302898407, -0.037167612463235855, -0.04179356247186661, 0.0678342655301094, -0.02147710509598255, -0.005200240761041641, 0.009733189828693867, 0.05188693478703499, 0.06608601659536362, -0.08171918243169785, -0.007209033705294132, -0.0533347949385643, 0.026586003601551056, -0.0938175693154335, 0.021170826628804207, -0.024485765025019646, -0.05050927773118019, 0.03362111747264862, 0.034359484910964966, 0.07568009197711945, -0.00871632806956768, 0.01387600414454937, 0.008189447224140167, -0.009151410311460495, 0.029215626418590546, 0.055283743888139725, 0.04487331956624985, -0.048942502588033676, -0.017666315659880638, -0.04230162501335144, -0.026384050026535988, 0.08929260075092316, -0.020728016272187233, 0.10733985155820847, -0.008127601817250252, 0.06842023134231567, -0.00505678728222847, 0.06417594850063324, -0.039408955723047256, -0.06606539338827133, 0.06450000405311584, -0.0026790297124534845, 0.060541458427906036, -0.08157216757535934, -0.021380282938480377, -0.0176397655159235, 0.016450194641947746, -0.015210713259875774, 0.019470129162073135, 0.08278954774141312, -0.08490016311407089, -0.0027437093667685986, 0.06369797885417938, -0.024727538228034973, 0.008079033344984055, -0.03020375780761242, 0.05021319165825844, -0.056682340800762177, 0.01386814471334219, 0.0535300187766552, 0.06329954415559769, 0.017560461536049843, 0.0685475617647171, -0.03556838259100914, 0.014372037723660469, 0.05415130779147148, 0.046040501445531845, -0.019120164215564728, 0.0022667045705020428, 0.053022097796201706, -0.01713685505092144, -0.0070987846702337265, -0.012291442602872849, 0.031098665669560432, -0.03529976308345795, 0.05677315965294838, 0.09800641983747482, 0.032830867916345596, -0.01647253707051277, 0.12906141579151154, -0.041803013533353806, 0.07397288084030151, -0.03522634506225586, 0.10101732611656189, 0.044337980449199677, -0.030224831774830818, 0.10840346664190292, 0.18427157402038574, -0.003152610966935754, 0.06026971712708473, 0.03371250629425049, 0.08699288219213486, 0.01883506402373314, 0.03590521588921547, 0.07102135568857193, 0.039407067000865936, -0.08256465196609497, -0.018758460879325867, -0.021881839260458946, -0.013244427740573883, -0.054769258946180344, -0.019980531185865402, -0.01625022292137146, -0.03927415981888771, 0.07831426709890366, -0.07531902194023132, -0.08081775158643723, -0.03311527520418167, -0.028624042868614197, -0.022271258756518364, -0.11486059427261353, 0.1062542051076889, -0.0030574649572372437, 0.04102728143334389, -0.05909832566976547, -0.04176010936498642, -0.0707438737154007, -0.029969792813062668, -0.00943820085376501, 0.06713983416557312, 0.015274467878043652, -0.07870318740606308, 1.544374763685891e-33, -0.05014367401599884, -0.06530028581619263, -0.04287586733698845, 0.09601255506277084, -0.07484745979309082, 0.023985352367162704, -0.08396311849355698, -0.016121717169880867, -0.05139599367976189, 0.003396278480067849, -0.052981942892074585, 0.11848155409097672, 0.02352125570178032, -0.025604844093322754, 0.04672646522521973, 0.02483493834733963, 0.023107675835490227, 0.03554665669798851, 0.03144357353448868, -0.07369107753038406, -0.011935247108340263, -0.056760985404253006, 0.06438867002725601, 0.011291070841252804, 0.07701285928487778, -0.018292687833309174, -0.056739527732133865, 0.03897494450211525, -0.004958086647093296, -0.013548051007091999, -0.011165468953549862, 0.04996988922357559, -0.009982233867049217, -0.03234371170401573, 0.03935649245977402, 0.05670551583170891, -0.01879456825554371, -0.028211327269673347, -0.02403351478278637, 0.016920505091547966, -0.08780039846897125, 0.03621087595820427, -0.05153144150972366, -0.04305345192551613, 0.1097187027335167, -0.03076244704425335, -0.00515469117090106, 0.012523594312369823, -0.06564879417419434, -0.04321151226758957, 0.013887148350477219, 0.006121230777353048, 0.05245750769972801, -0.05602457746863365, -0.017290035262703896, 0.06373170018196106, -0.028483081609010696, 0.044340021908283234, -0.015350772999227047, -0.027129702270030975, -0.05029413476586342, -0.039883457124233246, 0.03706156834959984, 0.006290278863161802, 0.08358637243509293, 0.05789375305175781, -0.10207482427358627, 0.05068087950348854, 0.035734206438064575, -0.002656463300809264, -0.0004121005767956376, 0.05812844634056091, -0.022212771698832512, 0.0312357097864151, -0.05260331183671951, 0.006694415118545294, -0.007282096426934004, -0.034324899315834045, 0.015904616564512253, 0.0025355529505759478, -0.08140145242214203, -0.05886884033679962, 0.09266196191310883, 0.022775771096348763, -0.03436766564846039, -0.008646540343761444, 0.031599417328834534, 0.012700392864644527, 0.014850612729787827, 0.019188405945897102, -0.05043049901723862, -0.047780439257621765, 0.05622241646051407, 0.028542600572109222, -0.019816523417830467, -3.21448407655558e-33, -0.07061833143234253, -0.07994361966848373, -0.04267597571015358, 0.003224308369681239, -0.0284461360424757, -0.04910361394286156, 0.007306442596018314, -0.03794391080737114, 0.009850320406258106, 0.003327424405142665, 0.06248319149017334, -0.08539146184921265, 0.04176589846611023, 0.06199198216199875, 0.008049662224948406, -0.037055861204862595, 0.0348656140267849, 0.02415529638528824, 0.01097754668444395, 0.04066411033272743, 0.05243074521422386, -0.00838861707597971, -0.022619692608714104, -0.01594632863998413, -0.016043582931160927, -0.04525277391076088, -0.013890423811972141, -0.062389589846134186, 0.006408424582332373, 0.0016339607536792755, -0.00018058647401630878, -0.07360120862722397, -0.0017539331456646323, -0.020065784454345703, -0.046534281224012375, 0.05813716724514961, -0.02321743406355381, -0.12064599990844727, 0.017543774098157883, -0.033259306102991104, -0.07164531946182251, -0.0010723811574280262, -0.09268433600664139, -0.03926076367497444, -0.07063828408718109, 0.017849059775471687, 0.05766992270946503, 0.08975152671337128, -0.05389643460512161, -0.07340596616268158, 0.01709858886897564, 0.040620237588882446, -0.08547421544790268, 0.04864456132054329, 0.008395741693675518, 0.05462682247161865, 0.02571544051170349, -0.0032073555048555136, 0.026464156806468964, -0.055906325578689575, -0.1093057319521904, 0.0028832813259214163, -0.02464407868683338, 0.0286105927079916, 0.001766442903317511, -0.033351100981235504, 0.019301507622003555, -0.04151805117726326, 0.13647134602069855, 0.014831154607236385, 0.1013784259557724, 0.08378475904464722, -0.051961179822683334, 0.007361006457358599, 0.047749727964401245, -0.04680773988366127, 0.019223015755414963, 0.08499553054571152, -0.0011403127573430538, 0.005430808290839195, -0.014856258407235146, 0.027409009635448456, -0.0333547405898571, -0.046105701476335526, -0.02483144775032997, 0.021959451958537102, 0.07922162115573883, 0.09199608862400055, 0.04824777692556381, -0.031252115964889526, 0.003041001968085766, -0.04460442066192627, -0.046137258410453796, -0.0038439915515482426, 0.011955060064792633, -4.7101838873686575e-8, 0.004715820774435997, 0.01617419719696045, -0.09295560419559479, 0.05412096157670021, -0.04883134365081787, 0.031547848135232925, -0.00952322781085968, -0.04482361674308777, -0.038410380482673645, 0.0675356388092041, 0.1318192332983017, 0.007070636842399836, -0.06029301509261131, -0.10410259664058685, -0.028183510527014732, -0.0639929473400116, 0.03240408003330231, 0.009934359230101109, -0.06074526906013489, -0.038878217339515686, 0.028856033459305763, -0.044670119881629944, 0.0013792585814371705, -0.021938849240541458, 0.12106416374444962, -0.04588472843170166, -0.12707491219043732, 0.037745386362075806, -0.06848976761102676, -0.004437391646206379, 0.0021775278728455305, -0.02564219757914543, -0.09554680436849594, -0.044698525220155716, 0.019487503916025162, 0.12886914610862732, -0.005761889740824699, 0.022758549079298973, 0.007979759015142918, 0.021222762763500214, -0.017287131398916245, 0.0571153461933136, 0.0023680180311203003, 0.02939007617533207, 0.02743498422205448, 0.0038790313992649317, 0.0030185373034328222, -0.008534788154065609, 0.05672408267855644, -0.03337155655026436, -0.010570071637630463, 0.021347427740693092, -0.003996704705059528, 0.03712824359536171, 0.016536036506295204, -0.0062932115979492664, 0.02478177100419998, 0.06097324565052986, -0.042488642036914825, 0.08116763830184937, 0.04853503778576851, -0.022166654467582703, -0.10380972921848297, -0.09364541620016098 ]
1402.0130
Ricardo Sanfelice
Qin Shu and Ricardo G. Sanfelice
Dynamical Properties of a Two-gene Network with Hysteresis
55 pages, 31 figures.Expanded version of paper in Special Issue on Hybrid Systems and Biology, Elsevier Information and Computation, 2014
null
null
HDC-2014-001
cs.SY math.DS
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A mathematical model for a two-gene regulatory network is derived and several of their properties analyzed. Due to the presence of mixed continuous/discrete dynamics and hysteresis, we employ a hybrid systems model to capture the dynamics of the system. The proposed model incorporates binary hysteresis with different thresholds capturing the interaction between the genes. We analyze properties of the solutions and asymptotic stability of equilibria in the system as a function of its parameters. Our analysis reveals the presence of limit cycles for a certain range of parameters, behavior that is associated with hysteresis. The set of points defining the limit cycle is characterized and its asymptotic stability properties are studied. Furthermore, the stability property of the limit cycle is robust to small perturbations. Numerical simulations are presented to illustrate the results.
[ { "created": "Sat, 1 Feb 2014 22:21:27 GMT", "version": "v1" } ]
2014-02-04
[ [ "Shu", "Qin", "" ], [ "Sanfelice", "Ricardo G.", "" ] ]
[ -0.026101795956492424, -0.03092346340417862, -0.07341247797012329, -0.03794780746102333, 0.004007881041616201, -0.03375586122274399, 0.011692877858877182, 0.04988837242126465, 0.027837049216032028, -0.05525347590446472, 0.026571251451969147, 0.05707364156842232, 0.03908069431781769, -0.04445702210068703, -0.021259814500808716, 0.09505997598171234, -0.08980459719896317, -0.013073713518679142, -0.01809566095471382, -0.029102740809321404, 0.10456722974777222, 0.012273594737052917, -0.05128492787480354, 0.0198811125010252, -0.14843003451824188, 0.027643734589219093, -0.049306854605674744, 0.04699648544192314, -0.09883168339729309, -0.06954767554998398, -0.02905689924955368, -0.10311878472566605, 0.0005092844367027283, -0.023032501339912415, -0.016213208436965942, 0.041746702045202255, -0.021032439544796944, -0.046025365591049194, 0.036502715200185776, -0.026092344895005226, 0.0486767441034317, 0.07655813544988632, 0.008496269583702087, 0.07783148437738419, 0.035116542130708694, -0.000019228626115364023, 0.04072323814034462, -0.007261369377374649, 0.012853056192398071, -0.041292548179626465, -0.04021787270903587, 0.015583153814077377, 0.05545194819569588, -0.055540718138217926, 0.10638996958732605, -0.018845174461603165, -0.020296508446335793, 0.023263156414031982, -0.008633086457848549, -0.07779032737016678, 0.08349711447954178, 0.012005006894469261, -0.010468133725225925, -0.04645087569952011, 0.09687439352273941, 0.0520317405462265, -0.02410358563065529, -0.029624098911881447, 0.022788802161812782, -0.039235156029462814, -0.0563247911632061, -0.03618636354804039, -0.06870604306459427, -0.026653693988919258, 0.09719447046518326, 0.02259816601872444, -0.045390695333480835, 0.1120208129286766, 0.02457500994205475, -0.015648478642106056, -0.03427508473396301, -0.08622109889984131, 0.03281712159514427, -0.07840511202812195, -0.08222507685422897, -0.07899171859025955, -0.05146893486380577, -0.033160384744405746, 0.12702010571956635, 0.02828873321413994, -0.016943050548434258, 0.09664234519004822, 0.08393394201993942, -0.02083398774266243, 0.003710908116772771, -0.011600499041378498, 0.052853308618068695, 0.003872416215017438, 0.021416030824184418, 0.03910289704799652, -0.02394711598753929, -0.04216938838362694, -0.03843130171298981, 0.08096496760845184, 0.04850992560386658, -0.002763561438769102, 0.037442561239004135, -0.026272032409906387, -0.008627199567854404, 0.023494871333241463, -0.054225120693445206, 0.07276484370231628, 0.04521338641643524, 0.13624383509159088, -0.04516352340579033, 0.0032260240986943245, 0.03950224071741104, 0.010319818742573261, 0.04868193715810776, 0.0038959875237196684, -0.002083234488964081, -0.048523273319005966, -0.03305715322494507, -0.05845899134874344, 0.008242872543632984, 0.03829173371195793, -0.07158317416906357, -9.254927836832958e-34, -0.04362377151846886, -0.03341033309698105, 0.022293919697403908, 0.00808185525238514, -0.06639613211154938, 0.00010387015208834782, -0.04552396014332771, -0.017842061817646027, -0.04531235620379448, 0.00781653355807066, -0.047767434269189835, -0.034042131155729294, -0.03183034062385559, 0.023086685687303543, 0.025054078549146652, -0.0839061439037323, 0.008910632692277431, -0.06002876162528992, 0.09799717366695404, -0.02220022678375244, -0.034918319433927536, 0.022950435057282448, -0.10241645574569702, 0.03853994980454445, -0.014334937557578087, -0.05103249475359917, -0.0007400221657007933, 0.01661233976483345, 0.008458764292299747, 0.024609573185443878, -0.03374508023262024, 0.03536111116409302, 0.025175482034683228, -0.009429567493498325, 0.07491350173950195, 0.08560430258512497, 0.05182746425271034, 0.05904212221503258, 0.026648929342627525, 0.017257682979106903, -0.025014469400048256, -0.04453190043568611, 0.012663166038691998, -0.025686239823698997, -0.014048249460756779, 0.010957359336316586, 0.00713270204141736, 0.024830522015690804, -0.06876806914806366, 0.029898906126618385, -0.06555359065532684, -0.008443966507911682, 0.0084514319896698, -0.05331423506140709, 0.036299124360084534, -0.012951388023793697, -0.0400451123714447, -0.03221544995903969, -0.08871868997812271, 0.14321573078632355, 0.0017047182191163301, -0.019389890134334564, 0.09904421120882034, -0.0285479798913002, -0.011163068003952503, 0.06584221124649048, -0.06401578336954117, -0.033590883016586304, 0.060346174985170364, 0.05145898833870888, 0.06551655381917953, 0.02379162423312664, 0.0001740407751640305, -0.06946193426847458, -0.022509001195430756, -0.04454242065548897, -0.01200550515204668, -0.015017272904515266, -0.09172352403402328, 0.01955861784517765, 0.004488085396587849, -0.06500456482172012, -0.026495566591620445, 0.026900261640548706, -0.011296954937279224, -0.05256615951657295, 0.0043094707652926445, 0.06290972977876663, -0.09205226600170135, -0.007428939454257488, 0.015332318842411041, -0.0007364438497461379, 0.1051444411277771, 0.034425172954797745, 0.09532638639211655, -2.3612408490936685e-33, -0.009683624841272831, 0.02962580695748329, 0.1077122837305069, 0.0074696894735097885, -0.030605001375079155, 0.09623900055885315, -0.011827299371361732, 0.03363988921046257, -0.0315130352973938, 0.04538920149207115, 0.09261076897382736, 0.03129217028617859, 0.0039295898750424385, 0.03497859835624695, -0.024482527747750282, 0.006633993238210678, -0.03886491432785988, 0.03718264400959015, 0.08242963999509811, 0.03763442486524582, -0.08377942442893982, 0.0375768281519413, -0.057527799159288406, -0.0031831723172217607, 0.03075682744383812, -0.025446103885769844, -0.14821027219295502, 0.09809859842061996, 0.005709618330001831, 0.05014139786362648, -0.07495368272066116, 0.016476841643452644, 0.030557939782738686, 0.04900632053613663, -0.003152385586872697, 0.020028218626976013, -0.0452880859375, 0.007222892716526985, 0.06626620888710022, -0.004512644838541746, -0.01337462943047285, -0.06763855367898941, -0.05668267235159874, 0.060573991388082504, 0.07197685539722443, 0.06015513837337494, 0.07134783267974854, 0.05687214434146881, 0.010200086049735546, 0.015566734597086906, 0.019255993887782097, 0.032153692096471786, 0.04395941272377968, -0.008007476106286049, -0.021017789840698242, 0.012248847633600235, 0.039954885840415955, 0.09363074600696564, -0.012202661484479904, -0.05204286053776741, -0.06044362485408783, -0.07777632772922516, -0.013014660216867924, -0.004397411830723286, -0.08250009268522263, -0.06808765977621078, 0.036994922906160355, -0.07121448963880539, 0.08868381381034851, 0.04578454792499542, 0.039791129529476166, 0.07045672833919525, 0.14532789587974548, 0.038693465292453766, -0.01773340068757534, -0.030311278998851776, -0.03285542502999306, -0.08574490249156952, -0.049405764788389206, 0.017843255773186684, -0.08786793053150177, 0.10974213480949402, 0.018914086744189262, -0.058848634362220764, -0.05564526468515396, -0.0861620083451271, 0.032959945499897, 0.032278530299663544, 0.0025633415207266808, -0.026922008022665977, 0.048421137034893036, -0.017687486484646797, -0.019682500511407852, -0.031393785029649734, -0.025730540975928307, -5.139538927778631e-8, 0.03574523329734802, 0.011747665703296661, -0.0022467738017439842, -0.02679164707660675, 0.044527921825647354, 0.09450756013393402, 0.007381576579064131, -0.10137055069208145, 0.06418276578187943, 0.017652004957199097, 0.02174452692270279, 0.044310130178928375, -0.014648634940385818, -0.08331888169050217, -0.051601868122816086, 0.006817384622991085, 0.047450676560401917, 0.040895164012908936, 0.03005583956837654, 0.041958946734666824, -0.07776691019535065, -0.06089083477854729, -0.08106716722249985, 0.06474882364273071, 0.060315847396850586, -0.05512894690036774, -0.003450671210885048, -0.0653802827000618, 0.027044709771871567, 0.020662179216742516, 0.05560234189033508, -0.021959032863378525, 0.018016736954450607, 0.0644625797867775, -0.10441581159830093, -0.06526966392993927, -0.046773746609687805, 0.02667216770350933, 0.038516636937856674, -0.009020231664180756, 0.03276129812002182, -0.0005967706674709916, -0.0418698750436306, -0.0030248891562223434, -0.04298091307282448, 0.03550252690911293, 0.012710505165159702, -0.000361351267201826, 0.02882426604628563, 0.0025265172589570284, 0.016830923035740852, 0.018951749429106712, -0.0071020876057446, -0.022970275953412056, -0.03391466662287712, -0.042046841233968735, -0.06964808702468872, 0.0153470104560256, -0.02018517255783081, 0.05328001081943512, -0.046572811901569366, 0.023133274167776108, -0.06773676723241806, -0.07916195690631866 ]
null
null
null
null
null
null
null
[ -0.026101795956492424, -0.03092346340417862, -0.07341247797012329, -0.03794780746102333, 0.004007881041616201, -0.03375586122274399, 0.011692877858877182, 0.04988837242126465, 0.027837049216032028, -0.05525347590446472, 0.026571251451969147, 0.05707364156842232, 0.03908069431781769, -0.04445702210068703, -0.021259814500808716, 0.09505997598171234, -0.08980459719896317, -0.013073713518679142, -0.01809566095471382, -0.029102740809321404, 0.10456722974777222, 0.012273594737052917, -0.05128492787480354, 0.0198811125010252, -0.14843003451824188, 0.027643734589219093, -0.049306854605674744, 0.04699648544192314, -0.09883168339729309, -0.06954767554998398, -0.02905689924955368, -0.10311878472566605, 0.0005092844367027283, -0.023032501339912415, -0.016213208436965942, 0.041746702045202255, -0.021032439544796944, -0.046025365591049194, 0.036502715200185776, -0.026092344895005226, 0.0486767441034317, 0.07655813544988632, 0.008496269583702087, 0.07783148437738419, 0.035116542130708694, -0.000019228626115364023, 0.04072323814034462, -0.007261369377374649, 0.012853056192398071, -0.041292548179626465, -0.04021787270903587, 0.015583153814077377, 0.05545194819569588, -0.055540718138217926, 0.10638996958732605, -0.018845174461603165, -0.020296508446335793, 0.023263156414031982, -0.008633086457848549, -0.07779032737016678, 0.08349711447954178, 0.012005006894469261, -0.010468133725225925, -0.04645087569952011, 0.09687439352273941, 0.0520317405462265, -0.02410358563065529, -0.029624098911881447, 0.022788802161812782, -0.039235156029462814, -0.0563247911632061, -0.03618636354804039, -0.06870604306459427, -0.026653693988919258, 0.09719447046518326, 0.02259816601872444, -0.045390695333480835, 0.1120208129286766, 0.02457500994205475, -0.015648478642106056, -0.03427508473396301, -0.08622109889984131, 0.03281712159514427, -0.07840511202812195, -0.08222507685422897, -0.07899171859025955, -0.05146893486380577, -0.033160384744405746, 0.12702010571956635, 0.02828873321413994, -0.016943050548434258, 0.09664234519004822, 0.08393394201993942, -0.02083398774266243, 0.003710908116772771, -0.011600499041378498, 0.052853308618068695, 0.003872416215017438, 0.021416030824184418, 0.03910289704799652, -0.02394711598753929, -0.04216938838362694, -0.03843130171298981, 0.08096496760845184, 0.04850992560386658, -0.002763561438769102, 0.037442561239004135, -0.026272032409906387, -0.008627199567854404, 0.023494871333241463, -0.054225120693445206, 0.07276484370231628, 0.04521338641643524, 0.13624383509159088, -0.04516352340579033, 0.0032260240986943245, 0.03950224071741104, 0.010319818742573261, 0.04868193715810776, 0.0038959875237196684, -0.002083234488964081, -0.048523273319005966, -0.03305715322494507, -0.05845899134874344, 0.008242872543632984, 0.03829173371195793, -0.07158317416906357, -9.254927836832958e-34, -0.04362377151846886, -0.03341033309698105, 0.022293919697403908, 0.00808185525238514, -0.06639613211154938, 0.00010387015208834782, -0.04552396014332771, -0.017842061817646027, -0.04531235620379448, 0.00781653355807066, -0.047767434269189835, -0.034042131155729294, -0.03183034062385559, 0.023086685687303543, 0.025054078549146652, -0.0839061439037323, 0.008910632692277431, -0.06002876162528992, 0.09799717366695404, -0.02220022678375244, -0.034918319433927536, 0.022950435057282448, -0.10241645574569702, 0.03853994980454445, -0.014334937557578087, -0.05103249475359917, -0.0007400221657007933, 0.01661233976483345, 0.008458764292299747, 0.024609573185443878, -0.03374508023262024, 0.03536111116409302, 0.025175482034683228, -0.009429567493498325, 0.07491350173950195, 0.08560430258512497, 0.05182746425271034, 0.05904212221503258, 0.026648929342627525, 0.017257682979106903, -0.025014469400048256, -0.04453190043568611, 0.012663166038691998, -0.025686239823698997, -0.014048249460756779, 0.010957359336316586, 0.00713270204141736, 0.024830522015690804, -0.06876806914806366, 0.029898906126618385, -0.06555359065532684, -0.008443966507911682, 0.0084514319896698, -0.05331423506140709, 0.036299124360084534, -0.012951388023793697, -0.0400451123714447, -0.03221544995903969, -0.08871868997812271, 0.14321573078632355, 0.0017047182191163301, -0.019389890134334564, 0.09904421120882034, -0.0285479798913002, -0.011163068003952503, 0.06584221124649048, -0.06401578336954117, -0.033590883016586304, 0.060346174985170364, 0.05145898833870888, 0.06551655381917953, 0.02379162423312664, 0.0001740407751640305, -0.06946193426847458, -0.022509001195430756, -0.04454242065548897, -0.01200550515204668, -0.015017272904515266, -0.09172352403402328, 0.01955861784517765, 0.004488085396587849, -0.06500456482172012, -0.026495566591620445, 0.026900261640548706, -0.011296954937279224, -0.05256615951657295, 0.0043094707652926445, 0.06290972977876663, -0.09205226600170135, -0.007428939454257488, 0.015332318842411041, -0.0007364438497461379, 0.1051444411277771, 0.034425172954797745, 0.09532638639211655, -2.3612408490936685e-33, -0.009683624841272831, 0.02962580695748329, 0.1077122837305069, 0.0074696894735097885, -0.030605001375079155, 0.09623900055885315, -0.011827299371361732, 0.03363988921046257, -0.0315130352973938, 0.04538920149207115, 0.09261076897382736, 0.03129217028617859, 0.0039295898750424385, 0.03497859835624695, -0.024482527747750282, 0.006633993238210678, -0.03886491432785988, 0.03718264400959015, 0.08242963999509811, 0.03763442486524582, -0.08377942442893982, 0.0375768281519413, -0.057527799159288406, -0.0031831723172217607, 0.03075682744383812, -0.025446103885769844, -0.14821027219295502, 0.09809859842061996, 0.005709618330001831, 0.05014139786362648, -0.07495368272066116, 0.016476841643452644, 0.030557939782738686, 0.04900632053613663, -0.003152385586872697, 0.020028218626976013, -0.0452880859375, 0.007222892716526985, 0.06626620888710022, -0.004512644838541746, -0.01337462943047285, -0.06763855367898941, -0.05668267235159874, 0.060573991388082504, 0.07197685539722443, 0.06015513837337494, 0.07134783267974854, 0.05687214434146881, 0.010200086049735546, 0.015566734597086906, 0.019255993887782097, 0.032153692096471786, 0.04395941272377968, -0.008007476106286049, -0.021017789840698242, 0.012248847633600235, 0.039954885840415955, 0.09363074600696564, -0.012202661484479904, -0.05204286053776741, -0.06044362485408783, -0.07777632772922516, -0.013014660216867924, -0.004397411830723286, -0.08250009268522263, -0.06808765977621078, 0.036994922906160355, -0.07121448963880539, 0.08868381381034851, 0.04578454792499542, 0.039791129529476166, 0.07045672833919525, 0.14532789587974548, 0.038693465292453766, -0.01773340068757534, -0.030311278998851776, -0.03285542502999306, -0.08574490249156952, -0.049405764788389206, 0.017843255773186684, -0.08786793053150177, 0.10974213480949402, 0.018914086744189262, -0.058848634362220764, -0.05564526468515396, -0.0861620083451271, 0.032959945499897, 0.032278530299663544, 0.0025633415207266808, -0.026922008022665977, 0.048421137034893036, -0.017687486484646797, -0.019682500511407852, -0.031393785029649734, -0.025730540975928307, -5.139538927778631e-8, 0.03574523329734802, 0.011747665703296661, -0.0022467738017439842, -0.02679164707660675, 0.044527921825647354, 0.09450756013393402, 0.007381576579064131, -0.10137055069208145, 0.06418276578187943, 0.017652004957199097, 0.02174452692270279, 0.044310130178928375, -0.014648634940385818, -0.08331888169050217, -0.051601868122816086, 0.006817384622991085, 0.047450676560401917, 0.040895164012908936, 0.03005583956837654, 0.041958946734666824, -0.07776691019535065, -0.06089083477854729, -0.08106716722249985, 0.06474882364273071, 0.060315847396850586, -0.05512894690036774, -0.003450671210885048, -0.0653802827000618, 0.027044709771871567, 0.020662179216742516, 0.05560234189033508, -0.021959032863378525, 0.018016736954450607, 0.0644625797867775, -0.10441581159830093, -0.06526966392993927, -0.046773746609687805, 0.02667216770350933, 0.038516636937856674, -0.009020231664180756, 0.03276129812002182, -0.0005967706674709916, -0.0418698750436306, -0.0030248891562223434, -0.04298091307282448, 0.03550252690911293, 0.012710505165159702, -0.000361351267201826, 0.02882426604628563, 0.0025265172589570284, 0.016830923035740852, 0.018951749429106712, -0.0071020876057446, -0.022970275953412056, -0.03391466662287712, -0.042046841233968735, -0.06964808702468872, 0.0153470104560256, -0.02018517255783081, 0.05328001081943512, -0.046572811901569366, 0.023133274167776108, -0.06773676723241806, -0.07916195690631866 ]
1402.0131
J. M. Vaquero
M. Ant\'on, J.M. Vaquero and A.J.P. Aparicio
The controversial early brightening in the first half of 20th century: a contribution from pyrheliometer measurements in Madrid (Spain)
19 pages, 1 figure, accepted for publication in "Global and Planetary Change"
null
10.1016/j.gloplacha.2014.01.013
null
physics.ao-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A long-term decrease in downward surface solar radiation from the 1950s to the 1980s ("global dimming") followed by a multi-decadal increase up to the present ("brightening") have been detected in many regions worldwide. In addition, some researchers have suggested the existence of an "early brightening" period in the first half of 20th century. However, this latter phenomenon is an open issue due to the opposite results found in literature and the scarcity of solar radiation data during this period. This paper contributes to this relevant discussion analyzing, for the first time in Southern Europe, the atmospheric column transparency derived from pyrheliometer measurements in Madrid (Spain) for the period 1911-1928. This time series is one of the three longest dataset during the first quarter of the 20th century in Europe. The results showed the great effects of the Katmai eruption (June 1912, Alaska) on transparency values during 1912-1913 with maximum relative anomalies around 8%. Outside the period affected by this volcano, the atmospheric transparency exhibited a stable behavior with a slight negative trend without any statistical significance on an annual and seasonal basis. Overall, there is no evidence of a possible early brightening period in direct solar radiation in Madrid. This phenomenon is currently an open issue and further research is needed using the few sites with available experimental records during the first half of the 20th century.
[ { "created": "Sat, 1 Feb 2014 22:32:41 GMT", "version": "v1" } ]
2014-03-05
[ [ "Antón", "M.", "" ], [ "Vaquero", "J. M.", "" ], [ "Aparicio", "A. J. P.", "" ] ]
[ -0.011185226030647755, 0.058550696820020676, 0.11444591730833054, 0.055911045521497726, 0.05036762356758118, -0.08431481570005417, -0.03629320487380028, -0.012820768170058727, -0.00878228060901165, 0.01634579710662365, 0.051212798804044724, -0.049066778272390366, 0.05576194450259209, 0.0014732438139617443, 0.020368818193674088, -0.010161269456148148, -0.08115105330944061, -0.0114006781950593, -0.01095475535839796, -0.00992461945861578, 0.021936390548944473, -0.07119152694940567, -0.0974249392747879, -0.01960882917046547, 0.04163201525807381, 0.026057055220007896, -0.032272275537252426, -0.021027568727731705, -0.0688653439283371, 0.06579186767339706, -0.05002523213624954, -0.005840283818542957, -0.03763815388083458, -0.037462521344423294, 0.03329046070575714, -0.04031695798039436, -0.00211914349347353, 0.01689830794930458, -0.041863586753606796, 0.09770243614912033, -0.06269408017396927, -0.10382971167564392, -0.01081657875329256, 0.004008449614048004, -0.09339695423841476, -0.0077318670228123665, 0.059001535177230835, -0.009959322400391102, -0.076055608689785, 0.028930308297276497, 0.0604366734623909, 0.040216125547885895, 0.0014875299530103803, -0.05109081789851189, -0.07617226243019104, -0.05396076291799545, -0.02356673963367939, 0.041146665811538696, 0.01711498759686947, 0.014894042164087296, -0.023283805698156357, 0.016136273741722107, -0.08629024028778076, -0.00020915881032124162, 0.025966761633753777, 0.0560285709798336, -0.011991439387202263, -0.011435610242187977, 0.0031707610469311476, -0.037101857364177704, 0.05283920094370842, 0.05783400684595108, -0.013100797310471535, -0.09866179525852203, -0.07299096137285233, 0.02453664131462574, -0.010508250445127487, 0.046067867428064346, -0.029562992975115776, -0.045117899775505066, 0.12836232781410217, 0.03217543661594391, -0.05086193606257439, -0.03520553559064865, 0.005569772329181433, 0.029895758256316185, 0.016967913135886192, 0.06709522008895874, -0.027689538896083832, 0.0625527948141098, 0.03605857491493225, 0.03586582839488983, -0.0640394538640976, 0.08613966405391693, 0.01065196841955185, 0.07157314568758011, 0.0738736018538475, -0.0032644146122038364, 0.10420394688844681, 0.015393073670566082, -0.008198876865208149, -0.03177306056022644, -0.07351119816303253, 0.08828389644622803, -0.06334385275840759, -0.009941333904862404, 0.03179546073079109, -0.024067819118499756, -0.06265439093112946, 0.03460746258497238, -0.053052403032779694, -0.019043998792767525, -0.039516232907772064, -0.08891326189041138, 0.06263025850057602, 0.024595053866505623, 0.06559617072343826, 0.007090557366609573, -0.06313756853342056, -0.08195041120052338, 0.03222460299730301, 0.06684856861829758, 0.02627706155180931, 0.11632551997900009, 0.06441371887922287, 0.0017508026212453842, 0.06687305867671967, 3.2293249682412e-34, 0.03542020544409752, 0.015664177015423775, -0.04353971406817436, 0.05534466356039047, -0.024960793554782867, 0.037830691784620285, -0.015500206500291824, -0.01378632988780737, -0.0737118348479271, -0.03576267510652542, -0.06055842712521553, 0.07128684967756271, 0.004845751449465752, -0.021254796534776688, 0.0012848834739997983, 0.018772102892398834, 0.08159390091896057, 0.06053692847490311, -0.04770549014210701, -0.018872490152716637, -0.080425925552845, -0.024214744567871094, 0.042833052575588226, 0.019855830818414688, -0.0006043491302989423, 0.077683225274086, 0.024626832455396652, -0.010144595988094807, -0.04194767773151398, 0.015247802250087261, 0.14023129642009735, -0.0646345466375351, 0.001939659472554922, 0.03216734901070595, 0.015257317572832108, -0.006244072690606117, 0.008506684564054012, -0.020683638751506805, 0.019761601462960243, -0.013445488177239895, -0.00021458986157085747, 0.0353439562022686, 0.002793014282360673, 0.010235021822154522, 0.03252354636788368, -0.00440499372780323, 0.005973705090582371, 0.0018832136411219835, -0.03689572960138321, 0.0051140678115189075, -0.05698782950639725, 0.05411875993013382, -0.0417315736413002, -0.06578623503446579, 0.017920657992362976, 0.08496803790330887, 0.05720122903585434, -0.04524727165699005, -0.03161874786019325, 0.029600325971841812, 0.014376300387084484, 0.08253439515829086, 0.0844099372625351, -0.05756651237607002, -0.04865872487425804, 0.0605182982981205, -0.017545638605952263, 0.08088812977075577, -0.0488116517663002, 0.030473601073026657, -0.024920077994465828, 0.02257309854030609, -0.017831657081842422, -0.020236438140273094, 0.0762753114104271, -0.005716871004551649, 0.057671889662742615, 0.026126660406589508, -0.041287656873464584, 0.06546813249588013, -0.09305398911237717, -0.04972543194890022, 0.04599582031369209, -0.10684149712324142, -0.0855599045753479, 0.004832389764487743, 0.041446372866630554, 0.05489708110690117, -0.027539266273379326, 0.018168803304433823, 0.050193458795547485, 0.0760340765118599, 0.03461180627346039, -0.024564433842897415, -0.07477668672800064, -2.069730923388211e-33, 0.03441895171999931, 0.024475086480379105, -0.03258281573653221, -0.02533881738781929, -0.06159171834588051, -0.011544276028871536, -0.046932533383369446, 0.04806790500879288, -0.07647060602903366, -0.03107631579041481, 0.016978420317173004, 0.03907403722405434, -0.00922573171555996, -0.10953846573829651, -0.01669762097299099, 0.01924581080675125, 0.08475228399038315, 0.056495316326618195, -0.07725470513105392, 0.01997198536992073, -0.0492824912071228, -0.013782580383121967, -0.03639160841703415, -0.06491275876760483, -0.008630749769508839, -0.012992380186915398, 0.036775488406419754, -0.04263996705412865, -0.01131785660982132, 0.012416274286806583, -0.11477051675319672, 0.10729490965604782, 0.0335448682308197, -0.005837208591401577, -0.012903454713523388, 0.08620864152908325, 0.053337085992097855, -0.11913156509399414, -0.015618150122463703, -0.023722687736153603, -0.06282693147659302, 0.027722209692001343, -0.00688670901581645, -0.05392168089747429, -0.010038014501333237, 0.051807936280965805, 0.01759438030421734, 0.09941394627094269, 0.04307669401168823, -0.018829699605703354, 0.03910014405846596, -0.008382055908441544, -0.02692069299519062, 0.04599521681666374, 0.073597252368927, -0.03193413093686104, 0.01858682930469513, 0.043688639998435974, -0.08592960983514786, -0.040910106152296066, 0.008868314325809479, -0.0709788128733635, -0.014098749496042728, -0.03596200793981552, -0.011622915044426918, -0.017148923128843307, 0.04879571869969368, -0.010493560694158077, 0.031048167496919632, -0.030675003305077553, 0.09413009881973267, -0.048372749239206314, -0.04661271721124649, 0.035928595811128616, -0.00842517614364624, 0.0370769277215004, 0.0024075123947113752, 0.05735602602362633, -0.04574752599000931, 0.0641421303153038, -0.10782486200332642, -0.00772434426471591, 0.01788998581469059, -0.03343794494867325, 0.06758003681898117, -0.06474033743143082, -0.01834965869784355, -0.12560997903347015, -0.1161026880145073, 0.022562120109796524, -0.0635773167014122, -0.007476659491658211, -0.05302990600466728, 0.011322684586048126, 0.07943213731050491, -5.1259860356367426e-8, 0.06645828485488892, 0.03685276582837105, 0.012989819049835205, 0.034324146807193756, 0.024121250957250595, -0.04810211434960365, 0.048326920717954636, 0.05101105943322182, -0.008512822911143303, -0.06312766671180725, 0.0067642126232385635, 0.011780638247728348, 0.1294344663619995, -0.00723773380741477, 0.020282883197069168, -0.01730840839445591, -0.005028980318456888, -0.05705343186855316, 0.006694831419736147, 0.06886261701583862, 0.02175888419151306, 0.058060307055711746, -0.043060678988695145, -0.06912946701049805, 0.031915415078401566, 0.05669691041111946, 0.025348706170916557, 0.062306974083185196, 0.01949300430715084, -0.11083918809890747, 0.06846923381090164, -0.06848956644535065, 0.04334129020571709, -0.13226358592510223, -0.027034679427742958, 0.1184430941939354, -0.06252819299697876, 0.010602404363453388, -0.05247415229678154, -0.01611752063035965, -0.07175504416227341, -0.012811768800020218, -0.032731421291828156, 0.026711583137512207, 0.014586198143661022, 0.018894456326961517, -0.000619652506429702, -0.03712670877575874, -0.038680098950862885, -0.04775374382734299, 0.0056160870008170605, 0.007372692227363586, 0.03473109379410744, -0.04329630732536316, 0.009543940424919128, 0.012226318940520287, 0.07760398089885712, 0.029441701248288155, -0.02132973074913025, 0.008972957730293274, 0.08445340394973755, -0.02770278975367546, -0.1420498788356781, -0.005131884012371302 ]
null
null
null
null
null
null
null
[ -0.011185226030647755, 0.058550696820020676, 0.11444591730833054, 0.055911045521497726, 0.05036762356758118, -0.08431481570005417, -0.03629320487380028, -0.012820768170058727, -0.00878228060901165, 0.01634579710662365, 0.051212798804044724, -0.049066778272390366, 0.05576194450259209, 0.0014732438139617443, 0.020368818193674088, -0.010161269456148148, -0.08115105330944061, -0.0114006781950593, -0.01095475535839796, -0.00992461945861578, 0.021936390548944473, -0.07119152694940567, -0.0974249392747879, -0.01960882917046547, 0.04163201525807381, 0.026057055220007896, -0.032272275537252426, -0.021027568727731705, -0.0688653439283371, 0.06579186767339706, -0.05002523213624954, -0.005840283818542957, -0.03763815388083458, -0.037462521344423294, 0.03329046070575714, -0.04031695798039436, -0.00211914349347353, 0.01689830794930458, -0.041863586753606796, 0.09770243614912033, -0.06269408017396927, -0.10382971167564392, -0.01081657875329256, 0.004008449614048004, -0.09339695423841476, -0.0077318670228123665, 0.059001535177230835, -0.009959322400391102, -0.076055608689785, 0.028930308297276497, 0.0604366734623909, 0.040216125547885895, 0.0014875299530103803, -0.05109081789851189, -0.07617226243019104, -0.05396076291799545, -0.02356673963367939, 0.041146665811538696, 0.01711498759686947, 0.014894042164087296, -0.023283805698156357, 0.016136273741722107, -0.08629024028778076, -0.00020915881032124162, 0.025966761633753777, 0.0560285709798336, -0.011991439387202263, -0.011435610242187977, 0.0031707610469311476, -0.037101857364177704, 0.05283920094370842, 0.05783400684595108, -0.013100797310471535, -0.09866179525852203, -0.07299096137285233, 0.02453664131462574, -0.010508250445127487, 0.046067867428064346, -0.029562992975115776, -0.045117899775505066, 0.12836232781410217, 0.03217543661594391, -0.05086193606257439, -0.03520553559064865, 0.005569772329181433, 0.029895758256316185, 0.016967913135886192, 0.06709522008895874, -0.027689538896083832, 0.0625527948141098, 0.03605857491493225, 0.03586582839488983, -0.0640394538640976, 0.08613966405391693, 0.01065196841955185, 0.07157314568758011, 0.0738736018538475, -0.0032644146122038364, 0.10420394688844681, 0.015393073670566082, -0.008198876865208149, -0.03177306056022644, -0.07351119816303253, 0.08828389644622803, -0.06334385275840759, -0.009941333904862404, 0.03179546073079109, -0.024067819118499756, -0.06265439093112946, 0.03460746258497238, -0.053052403032779694, -0.019043998792767525, -0.039516232907772064, -0.08891326189041138, 0.06263025850057602, 0.024595053866505623, 0.06559617072343826, 0.007090557366609573, -0.06313756853342056, -0.08195041120052338, 0.03222460299730301, 0.06684856861829758, 0.02627706155180931, 0.11632551997900009, 0.06441371887922287, 0.0017508026212453842, 0.06687305867671967, 3.2293249682412e-34, 0.03542020544409752, 0.015664177015423775, -0.04353971406817436, 0.05534466356039047, -0.024960793554782867, 0.037830691784620285, -0.015500206500291824, -0.01378632988780737, -0.0737118348479271, -0.03576267510652542, -0.06055842712521553, 0.07128684967756271, 0.004845751449465752, -0.021254796534776688, 0.0012848834739997983, 0.018772102892398834, 0.08159390091896057, 0.06053692847490311, -0.04770549014210701, -0.018872490152716637, -0.080425925552845, -0.024214744567871094, 0.042833052575588226, 0.019855830818414688, -0.0006043491302989423, 0.077683225274086, 0.024626832455396652, -0.010144595988094807, -0.04194767773151398, 0.015247802250087261, 0.14023129642009735, -0.0646345466375351, 0.001939659472554922, 0.03216734901070595, 0.015257317572832108, -0.006244072690606117, 0.008506684564054012, -0.020683638751506805, 0.019761601462960243, -0.013445488177239895, -0.00021458986157085747, 0.0353439562022686, 0.002793014282360673, 0.010235021822154522, 0.03252354636788368, -0.00440499372780323, 0.005973705090582371, 0.0018832136411219835, -0.03689572960138321, 0.0051140678115189075, -0.05698782950639725, 0.05411875993013382, -0.0417315736413002, -0.06578623503446579, 0.017920657992362976, 0.08496803790330887, 0.05720122903585434, -0.04524727165699005, -0.03161874786019325, 0.029600325971841812, 0.014376300387084484, 0.08253439515829086, 0.0844099372625351, -0.05756651237607002, -0.04865872487425804, 0.0605182982981205, -0.017545638605952263, 0.08088812977075577, -0.0488116517663002, 0.030473601073026657, -0.024920077994465828, 0.02257309854030609, -0.017831657081842422, -0.020236438140273094, 0.0762753114104271, -0.005716871004551649, 0.057671889662742615, 0.026126660406589508, -0.041287656873464584, 0.06546813249588013, -0.09305398911237717, -0.04972543194890022, 0.04599582031369209, -0.10684149712324142, -0.0855599045753479, 0.004832389764487743, 0.041446372866630554, 0.05489708110690117, -0.027539266273379326, 0.018168803304433823, 0.050193458795547485, 0.0760340765118599, 0.03461180627346039, -0.024564433842897415, -0.07477668672800064, -2.069730923388211e-33, 0.03441895171999931, 0.024475086480379105, -0.03258281573653221, -0.02533881738781929, -0.06159171834588051, -0.011544276028871536, -0.046932533383369446, 0.04806790500879288, -0.07647060602903366, -0.03107631579041481, 0.016978420317173004, 0.03907403722405434, -0.00922573171555996, -0.10953846573829651, -0.01669762097299099, 0.01924581080675125, 0.08475228399038315, 0.056495316326618195, -0.07725470513105392, 0.01997198536992073, -0.0492824912071228, -0.013782580383121967, -0.03639160841703415, -0.06491275876760483, -0.008630749769508839, -0.012992380186915398, 0.036775488406419754, -0.04263996705412865, -0.01131785660982132, 0.012416274286806583, -0.11477051675319672, 0.10729490965604782, 0.0335448682308197, -0.005837208591401577, -0.012903454713523388, 0.08620864152908325, 0.053337085992097855, -0.11913156509399414, -0.015618150122463703, -0.023722687736153603, -0.06282693147659302, 0.027722209692001343, -0.00688670901581645, -0.05392168089747429, -0.010038014501333237, 0.051807936280965805, 0.01759438030421734, 0.09941394627094269, 0.04307669401168823, -0.018829699605703354, 0.03910014405846596, -0.008382055908441544, -0.02692069299519062, 0.04599521681666374, 0.073597252368927, -0.03193413093686104, 0.01858682930469513, 0.043688639998435974, -0.08592960983514786, -0.040910106152296066, 0.008868314325809479, -0.0709788128733635, -0.014098749496042728, -0.03596200793981552, -0.011622915044426918, -0.017148923128843307, 0.04879571869969368, -0.010493560694158077, 0.031048167496919632, -0.030675003305077553, 0.09413009881973267, -0.048372749239206314, -0.04661271721124649, 0.035928595811128616, -0.00842517614364624, 0.0370769277215004, 0.0024075123947113752, 0.05735602602362633, -0.04574752599000931, 0.0641421303153038, -0.10782486200332642, -0.00772434426471591, 0.01788998581469059, -0.03343794494867325, 0.06758003681898117, -0.06474033743143082, -0.01834965869784355, -0.12560997903347015, -0.1161026880145073, 0.022562120109796524, -0.0635773167014122, -0.007476659491658211, -0.05302990600466728, 0.011322684586048126, 0.07943213731050491, -5.1259860356367426e-8, 0.06645828485488892, 0.03685276582837105, 0.012989819049835205, 0.034324146807193756, 0.024121250957250595, -0.04810211434960365, 0.048326920717954636, 0.05101105943322182, -0.008512822911143303, -0.06312766671180725, 0.0067642126232385635, 0.011780638247728348, 0.1294344663619995, -0.00723773380741477, 0.020282883197069168, -0.01730840839445591, -0.005028980318456888, -0.05705343186855316, 0.006694831419736147, 0.06886261701583862, 0.02175888419151306, 0.058060307055711746, -0.043060678988695145, -0.06912946701049805, 0.031915415078401566, 0.05669691041111946, 0.025348706170916557, 0.062306974083185196, 0.01949300430715084, -0.11083918809890747, 0.06846923381090164, -0.06848956644535065, 0.04334129020571709, -0.13226358592510223, -0.027034679427742958, 0.1184430941939354, -0.06252819299697876, 0.010602404363453388, -0.05247415229678154, -0.01611752063035965, -0.07175504416227341, -0.012811768800020218, -0.032731421291828156, 0.026711583137512207, 0.014586198143661022, 0.018894456326961517, -0.000619652506429702, -0.03712670877575874, -0.038680098950862885, -0.04775374382734299, 0.0056160870008170605, 0.007372692227363586, 0.03473109379410744, -0.04329630732536316, 0.009543940424919128, 0.012226318940520287, 0.07760398089885712, 0.029441701248288155, -0.02132973074913025, 0.008972957730293274, 0.08445340394973755, -0.02770278975367546, -0.1420498788356781, -0.005131884012371302 ]
1402.0132
Cormac O Raifeartaigh
Cormac O'Raifeartaigh, Brendan McCann, Werner Nahm and Simon Mitton
Einstein's steady-state theory: an abandoned model of the cosmos
22 pages, 2 figures. Includes first English translation of unpublished Einstein manuscript. Accepted for publication in Eur.Phys.J.(H)
Eur. Phys. J. H 39 (2014) 353-367 (2014)
10.1140/epjh/e2014-50011-x
null
physics.hist-ph astro-ph.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a translation and analysis of an unpublished manuscript by Albert Einstein in which he attempted to construct a 'steady-state' model of the universe. The manuscript, which appears to have been written in early 1931, demonstrates that Einstein once explored a cosmic model in which the mean density of matter in an expanding universe is maintained constant by the continuous formation of matter from empty space. This model is very different to previously known Einsteinian models of the cosmos (both static and dynamic) but anticipates the later steady-state cosmology of Hoyle, Bondi and Gold in some ways. We find that Einstein's steady-state model contains a fundamental flaw and suggest that it was abandoned for this reason. We also suggest that he declined to explore a more sophisticated version because he found such theories rather contrived. The manuscript is of historical interest because it reveals that Einstein debated between steady-state and evolving models of the cosmos decades before a similar debate took place in the cosmological community.
[ { "created": "Sat, 1 Feb 2014 22:34:16 GMT", "version": "v1" }, { "created": "Wed, 26 Feb 2014 18:12:29 GMT", "version": "v2" }, { "created": "Thu, 22 May 2014 17:19:33 GMT", "version": "v3" } ]
2015-06-09
[ [ "O'Raifeartaigh", "Cormac", "" ], [ "McCann", "Brendan", "" ], [ "Nahm", "Werner", "" ], [ "Mitton", "Simon", "" ] ]
[ -0.03324011713266373, -0.032383836805820465, -0.023099595680832863, 0.1501070111989975, -0.02706817537546158, -0.005677459761500359, -0.04681995138525963, 0.030070023611187935, 0.028760241344571114, -0.015100042335689068, 0.007173248566687107, 0.03558678552508354, -0.06176888570189476, 0.023196617141366005, -0.03347714990377426, -0.06486555933952332, -0.011835147626698017, -0.026402458548545837, -0.05170891433954239, -0.008864243514835835, -0.016582217067480087, 0.05258186161518097, -0.026729287579655647, 0.015318336896598339, 0.013056851923465729, 0.026446158066391945, 0.005599423311650753, -0.058937933295965195, 0.04636168107390404, 0.02534358762204647, 0.010121776722371578, -0.013708674348890781, 0.023425189778208733, -0.05168583244085312, 0.03305650129914284, -0.02233615331351757, 0.010107744485139847, -0.020975790917873383, 0.02963116578757763, -0.0120089715346694, 0.007599208503961563, 0.010875594802200794, -0.05179278180003166, 0.08773744851350784, 0.007589560467749834, -0.046684328466653824, 0.009450854733586311, -0.06438751518726349, -0.06493888050317764, 0.01856180839240551, -0.04602457582950592, 0.010740564204752445, -0.0010721349390223622, -0.05330042168498039, 0.12357208877801895, 0.011184857226908207, -0.004896727856248617, -0.04288646578788757, -0.008916566148400307, -0.09831538051366806, 0.0372784398496151, -0.011463949456810951, 0.0016177090583369136, 0.010148892179131508, 0.012620831839740276, 0.06925873458385468, -0.012873715721070766, 0.0682421401143074, 0.028619706630706787, 0.06329566240310669, 0.004972564522176981, 0.04459302872419357, -0.04713936150074005, -0.07421188801527023, 0.0737459808588028, -0.08297218382358551, 0.026576656848192215, 0.04149429872632027, 0.10090295225381851, 0.024471867829561234, 0.00005489047907758504, -0.015524839982390404, -0.061156995594501495, -0.04067946970462799, -0.0884784609079361, -0.10378216207027435, 0.05880144238471985, -0.04778635874390602, 0.008650743402540684, -0.04046991094946861, 0.04695179685950279, 0.023620612919330597, -0.04402503743767738, -0.08480379730463028, 0.03337140753865242, 0.04759174957871437, 0.031502608209848404, -0.008201496675610542, 0.035253848880529404, 0.037610072642564774, 0.0648779645562172, 0.03283429890871048, 0.025139901787042618, 0.1433974653482437, 0.04980579763650894, -0.06201968342065811, -0.03395315259695053, -0.012932885438203812, -0.000548702897503972, 0.0754874050617218, 0.06161629036068916, -0.09981241077184677, -0.008601488545536995, 0.02213171496987343, 0.029421886429190636, -0.04963960126042366, 0.02173130214214325, 0.07455839216709137, -0.05725204572081566, 0.03863907232880592, 0.0016063761431723833, 0.023755202069878578, -0.03832390159368515, 0.007426545023918152, 0.0032312090042978525, 0.007081365212798119, 0.02684069611132145, 4.291974616449433e-34, 0.006066462025046349, -0.08240506798028946, -0.03302067145705223, 0.1401568055152893, 0.03145304694771767, -0.026378227397799492, 0.003191368654370308, 0.0873592421412468, 0.025046996772289276, -0.007119022775441408, 0.01548096351325512, 0.08093302696943283, -0.01575373113155365, 0.030806342139840126, -0.06323173642158508, -0.021279623731970787, 0.015070119872689247, 0.025417782366275787, 0.1234302967786789, -0.025195138528943062, -0.008459864184260368, 0.05310213565826416, 0.0010473328875377774, -0.08852282911539078, 0.0022457444574683905, 0.0622839592397213, 0.039886295795440674, -0.03415106609463692, -0.0374673567712307, 0.0027268945705145597, -0.09022507816553116, 0.0419933944940567, -0.07379138469696045, -0.019897576421499252, -0.056953608989715576, -0.00010730067151598632, -0.0605236180126667, -0.03736315667629242, -0.07168451696634293, -0.1225181519985199, 0.0438547320663929, 0.03038567677140236, -0.033319465816020966, -0.07237521559000015, 0.039854634553194046, 0.0711093470454216, 0.041935812681913376, -0.024567941203713417, -0.045075904577970505, 0.0884464755654335, -0.014243276789784431, -0.0011237399885430932, -0.08254710584878922, 0.06402987986803055, -0.029633818194270134, 0.03687651455402374, -0.07324980199337006, 0.029966484755277634, -0.01939091831445694, 0.016419071704149246, 0.036222346127033234, 0.06425663083791733, -0.001401333836838603, 0.07235527038574219, 0.018373927101492882, 0.037971775978803635, -0.11085986346006393, 0.015686864033341408, -0.051447734236717224, 0.05212608724832535, 0.0034672038163989782, 0.034637272357940674, -0.05513634905219078, -0.00582532724365592, -0.04600362107157707, -0.021480778232216835, -0.03884986415505409, -0.03355613723397255, -0.08286280930042267, -0.0669466108083725, -0.02945159748196602, -0.017304008826613426, -0.039072033017873764, -0.021414294838905334, -0.032540757209062576, -0.021558823063969612, -0.06906672567129135, 0.08649188280105591, 0.00969765055924654, -0.041934508830308914, -0.0295682605355978, 0.03814307972788811, 0.09929513186216354, -0.020186547189950943, -0.08324840664863586, -3.916476813239173e-33, 0.00022521134815178812, -0.10191097110509872, -0.05585510656237602, 0.06539209932088852, 0.014736971817910671, 0.032902248203754425, -0.13055537641048431, 0.04486176744103432, -0.00043587549589574337, -0.07617582380771637, 0.07599815726280212, -0.03083183616399765, 0.041193924844264984, -0.05279222130775452, 0.03815356642007828, -0.00920169334858656, -0.0323810800909996, 0.021945664659142494, -0.012270967476069927, 0.06368391215801239, 0.041104741394519806, -0.0903862863779068, -0.05219927057623863, -0.09229934960603714, -0.009706658311188221, 0.03104953095316887, 0.03786662220954895, -0.028381353244185448, -0.044284388422966, 0.11352933943271637, -0.004902893211692572, -0.01563846506178379, -0.0194679107517004, 0.0046320147812366486, -0.09020975977182388, 0.018589215353131294, 0.034027885645627975, 0.007179395295679569, -0.04195262864232063, 0.031234415248036385, -0.03970502316951752, 0.0699615627527237, 0.01633261702954769, -0.0017899404047057033, 0.04288407787680626, -0.021981729194521904, -0.010810451582074165, 0.0778203085064888, -0.009553126990795135, -0.038766272366046906, 0.02640940062701702, -0.031163332983851433, -0.0452524796128273, -0.027278969064354897, -0.12261435389518738, 0.10276663303375244, -0.027531640604138374, 0.04552102088928223, 0.025755293667316437, 0.042430393397808075, -0.052093591541051865, -0.006870988290756941, 0.06364406645298004, -0.030191421508789062, -0.013749861158430576, -0.010522264055907726, -0.0674450546503067, 0.00891828816384077, -0.026371577754616737, -0.0260198675096035, 0.012572004459798336, -0.01120375283062458, -0.06056710332632065, 0.07099467515945435, 0.0824529305100441, 0.12716540694236755, 0.11742904037237167, -0.09252035617828369, 0.05812972038984299, -0.03669235110282898, -0.08208054304122925, 0.053582873195409775, 0.05317714810371399, -0.006229633465409279, -0.00655222125351429, -0.07477413862943649, -0.07792085409164429, -0.04853246733546257, 0.0277984868735075, 0.07174187153577805, -0.05722833797335625, -0.060408804565668106, -0.003672889433801174, -0.02768239751458168, -0.041550833731889725, -4.649990970051476e-8, -0.02431247942149639, 0.106353260576725, -0.01291528157889843, 0.10085830092430115, 0.020528823137283325, 0.07057777792215347, 0.053335193544626236, -0.017796359956264496, -0.040475618094205856, 0.016479674726724625, 0.008889082819223404, 0.008025291375815868, -0.06609762459993362, 0.06831955164670944, -0.07692450284957886, 0.048464514315128326, -0.000882569991517812, -0.07080928236246109, -0.025729356333613396, 0.027197089046239853, 0.12365840375423431, 0.024822117760777473, 0.05985463410615921, -0.07021071761846542, -0.006988881155848503, 0.03398096561431885, 0.009653187356889248, 0.05662652105093002, -0.05432979390025139, -0.09399113059043884, 0.003089063335210085, 0.06709704548120499, -0.043926652520895004, 0.007326039019972086, -0.005886600818485022, -0.0012874271487817168, 0.05312242731451988, -0.007872692309319973, 0.0051127406768500805, 0.00007960106449900195, -0.02167876996099949, 0.0677909329533577, -0.12304991483688354, 0.008914520964026451, 0.03891047462821007, 0.014362986199557781, -0.021568268537521362, 0.0005287476233206689, -0.050065454095602036, 0.07339640706777573, 0.00841574091464281, 0.06053370237350464, -0.05090742185711861, -0.02766452729701996, -0.0234866701066494, -0.029699670150876045, -0.041982248425483704, 0.02805187553167343, -0.07654833793640137, 0.02077300101518631, 0.052468303591012955, -0.06063637137413025, -0.005911170970648527, -0.007755603175610304 ]
null
null
null
null
null
null
null
[ -0.03324011713266373, -0.032383836805820465, -0.023099595680832863, 0.1501070111989975, -0.02706817537546158, -0.005677459761500359, -0.04681995138525963, 0.030070023611187935, 0.028760241344571114, -0.015100042335689068, 0.007173248566687107, 0.03558678552508354, -0.06176888570189476, 0.023196617141366005, -0.03347714990377426, -0.06486555933952332, -0.011835147626698017, -0.026402458548545837, -0.05170891433954239, -0.008864243514835835, -0.016582217067480087, 0.05258186161518097, -0.026729287579655647, 0.015318336896598339, 0.013056851923465729, 0.026446158066391945, 0.005599423311650753, -0.058937933295965195, 0.04636168107390404, 0.02534358762204647, 0.010121776722371578, -0.013708674348890781, 0.023425189778208733, -0.05168583244085312, 0.03305650129914284, -0.02233615331351757, 0.010107744485139847, -0.020975790917873383, 0.02963116578757763, -0.0120089715346694, 0.007599208503961563, 0.010875594802200794, -0.05179278180003166, 0.08773744851350784, 0.007589560467749834, -0.046684328466653824, 0.009450854733586311, -0.06438751518726349, -0.06493888050317764, 0.01856180839240551, -0.04602457582950592, 0.010740564204752445, -0.0010721349390223622, -0.05330042168498039, 0.12357208877801895, 0.011184857226908207, -0.004896727856248617, -0.04288646578788757, -0.008916566148400307, -0.09831538051366806, 0.0372784398496151, -0.011463949456810951, 0.0016177090583369136, 0.010148892179131508, 0.012620831839740276, 0.06925873458385468, -0.012873715721070766, 0.0682421401143074, 0.028619706630706787, 0.06329566240310669, 0.004972564522176981, 0.04459302872419357, -0.04713936150074005, -0.07421188801527023, 0.0737459808588028, -0.08297218382358551, 0.026576656848192215, 0.04149429872632027, 0.10090295225381851, 0.024471867829561234, 0.00005489047907758504, -0.015524839982390404, -0.061156995594501495, -0.04067946970462799, -0.0884784609079361, -0.10378216207027435, 0.05880144238471985, -0.04778635874390602, 0.008650743402540684, -0.04046991094946861, 0.04695179685950279, 0.023620612919330597, -0.04402503743767738, -0.08480379730463028, 0.03337140753865242, 0.04759174957871437, 0.031502608209848404, -0.008201496675610542, 0.035253848880529404, 0.037610072642564774, 0.0648779645562172, 0.03283429890871048, 0.025139901787042618, 0.1433974653482437, 0.04980579763650894, -0.06201968342065811, -0.03395315259695053, -0.012932885438203812, -0.000548702897503972, 0.0754874050617218, 0.06161629036068916, -0.09981241077184677, -0.008601488545536995, 0.02213171496987343, 0.029421886429190636, -0.04963960126042366, 0.02173130214214325, 0.07455839216709137, -0.05725204572081566, 0.03863907232880592, 0.0016063761431723833, 0.023755202069878578, -0.03832390159368515, 0.007426545023918152, 0.0032312090042978525, 0.007081365212798119, 0.02684069611132145, 4.291974616449433e-34, 0.006066462025046349, -0.08240506798028946, -0.03302067145705223, 0.1401568055152893, 0.03145304694771767, -0.026378227397799492, 0.003191368654370308, 0.0873592421412468, 0.025046996772289276, -0.007119022775441408, 0.01548096351325512, 0.08093302696943283, -0.01575373113155365, 0.030806342139840126, -0.06323173642158508, -0.021279623731970787, 0.015070119872689247, 0.025417782366275787, 0.1234302967786789, -0.025195138528943062, -0.008459864184260368, 0.05310213565826416, 0.0010473328875377774, -0.08852282911539078, 0.0022457444574683905, 0.0622839592397213, 0.039886295795440674, -0.03415106609463692, -0.0374673567712307, 0.0027268945705145597, -0.09022507816553116, 0.0419933944940567, -0.07379138469696045, -0.019897576421499252, -0.056953608989715576, -0.00010730067151598632, -0.0605236180126667, -0.03736315667629242, -0.07168451696634293, -0.1225181519985199, 0.0438547320663929, 0.03038567677140236, -0.033319465816020966, -0.07237521559000015, 0.039854634553194046, 0.0711093470454216, 0.041935812681913376, -0.024567941203713417, -0.045075904577970505, 0.0884464755654335, -0.014243276789784431, -0.0011237399885430932, -0.08254710584878922, 0.06402987986803055, -0.029633818194270134, 0.03687651455402374, -0.07324980199337006, 0.029966484755277634, -0.01939091831445694, 0.016419071704149246, 0.036222346127033234, 0.06425663083791733, -0.001401333836838603, 0.07235527038574219, 0.018373927101492882, 0.037971775978803635, -0.11085986346006393, 0.015686864033341408, -0.051447734236717224, 0.05212608724832535, 0.0034672038163989782, 0.034637272357940674, -0.05513634905219078, -0.00582532724365592, -0.04600362107157707, -0.021480778232216835, -0.03884986415505409, -0.03355613723397255, -0.08286280930042267, -0.0669466108083725, -0.02945159748196602, -0.017304008826613426, -0.039072033017873764, -0.021414294838905334, -0.032540757209062576, -0.021558823063969612, -0.06906672567129135, 0.08649188280105591, 0.00969765055924654, -0.041934508830308914, -0.0295682605355978, 0.03814307972788811, 0.09929513186216354, -0.020186547189950943, -0.08324840664863586, -3.916476813239173e-33, 0.00022521134815178812, -0.10191097110509872, -0.05585510656237602, 0.06539209932088852, 0.014736971817910671, 0.032902248203754425, -0.13055537641048431, 0.04486176744103432, -0.00043587549589574337, -0.07617582380771637, 0.07599815726280212, -0.03083183616399765, 0.041193924844264984, -0.05279222130775452, 0.03815356642007828, -0.00920169334858656, -0.0323810800909996, 0.021945664659142494, -0.012270967476069927, 0.06368391215801239, 0.041104741394519806, -0.0903862863779068, -0.05219927057623863, -0.09229934960603714, -0.009706658311188221, 0.03104953095316887, 0.03786662220954895, -0.028381353244185448, -0.044284388422966, 0.11352933943271637, -0.004902893211692572, -0.01563846506178379, -0.0194679107517004, 0.0046320147812366486, -0.09020975977182388, 0.018589215353131294, 0.034027885645627975, 0.007179395295679569, -0.04195262864232063, 0.031234415248036385, -0.03970502316951752, 0.0699615627527237, 0.01633261702954769, -0.0017899404047057033, 0.04288407787680626, -0.021981729194521904, -0.010810451582074165, 0.0778203085064888, -0.009553126990795135, -0.038766272366046906, 0.02640940062701702, -0.031163332983851433, -0.0452524796128273, -0.027278969064354897, -0.12261435389518738, 0.10276663303375244, -0.027531640604138374, 0.04552102088928223, 0.025755293667316437, 0.042430393397808075, -0.052093591541051865, -0.006870988290756941, 0.06364406645298004, -0.030191421508789062, -0.013749861158430576, -0.010522264055907726, -0.0674450546503067, 0.00891828816384077, -0.026371577754616737, -0.0260198675096035, 0.012572004459798336, -0.01120375283062458, -0.06056710332632065, 0.07099467515945435, 0.0824529305100441, 0.12716540694236755, 0.11742904037237167, -0.09252035617828369, 0.05812972038984299, -0.03669235110282898, -0.08208054304122925, 0.053582873195409775, 0.05317714810371399, -0.006229633465409279, -0.00655222125351429, -0.07477413862943649, -0.07792085409164429, -0.04853246733546257, 0.0277984868735075, 0.07174187153577805, -0.05722833797335625, -0.060408804565668106, -0.003672889433801174, -0.02768239751458168, -0.041550833731889725, -4.649990970051476e-8, -0.02431247942149639, 0.106353260576725, -0.01291528157889843, 0.10085830092430115, 0.020528823137283325, 0.07057777792215347, 0.053335193544626236, -0.017796359956264496, -0.040475618094205856, 0.016479674726724625, 0.008889082819223404, 0.008025291375815868, -0.06609762459993362, 0.06831955164670944, -0.07692450284957886, 0.048464514315128326, -0.000882569991517812, -0.07080928236246109, -0.025729356333613396, 0.027197089046239853, 0.12365840375423431, 0.024822117760777473, 0.05985463410615921, -0.07021071761846542, -0.006988881155848503, 0.03398096561431885, 0.009653187356889248, 0.05662652105093002, -0.05432979390025139, -0.09399113059043884, 0.003089063335210085, 0.06709704548120499, -0.043926652520895004, 0.007326039019972086, -0.005886600818485022, -0.0012874271487817168, 0.05312242731451988, -0.007872692309319973, 0.0051127406768500805, 0.00007960106449900195, -0.02167876996099949, 0.0677909329533577, -0.12304991483688354, 0.008914520964026451, 0.03891047462821007, 0.014362986199557781, -0.021568268537521362, 0.0005287476233206689, -0.050065454095602036, 0.07339640706777573, 0.00841574091464281, 0.06053370237350464, -0.05090742185711861, -0.02766452729701996, -0.0234866701066494, -0.029699670150876045, -0.041982248425483704, 0.02805187553167343, -0.07654833793640137, 0.02077300101518631, 0.052468303591012955, -0.06063637137413025, -0.005911170970648527, -0.007755603175610304 ]
1402.0134
Kiana Ehsani
S. Akbari, M. Dalirrooyfard, S. Davodpoor, K. Ehsani, R. Sherkati
On the Decision Number of Graphs
17 pages, 7 figures
null
null
null
cs.DM math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Let $G$ be a graph. A good function is a function $f:V(G)\rightarrow \{-1,1\}$, satisfying $f(N(v))\geq 1$, for each $v\in V(G)$, where $ N(v)=\{u\in V(G)\, |\, uv\in E(G) \} $ and $f(S) = \sum_{u\in S} f(u)$ for every $S \subseteq V(G) $. For every cubic graph $G$ of order $ n, $ we prove that $ \gamma(G) \leq \frac{5n}{7} $ and show that this inequality is sharp. A function $f:V(G)\rightarrow \{-1,1\}$ is called a nice function, if $f(N[v])\le1$, for each $v\in V(G)$, where $ N[v]=\{v\} \cup N(v) $. Define $\overline{\beta}(G)=max\{f(V(G))\}$, where $f$ is a nice function for $G$. We show that $\overline\beta(G)\ge -\frac{3n}{7}$ for every cubic graph $G$ of order $n$, which improves the best known bound $-\frac{n}{2}$.
[ { "created": "Sat, 1 Feb 2014 22:51:09 GMT", "version": "v1" }, { "created": "Wed, 11 Jun 2014 12:58:28 GMT", "version": "v2" } ]
2014-06-12
[ [ "Akbari", "S.", "" ], [ "Dalirrooyfard", "M.", "" ], [ "Davodpoor", "S.", "" ], [ "Ehsani", "K.", "" ], [ "Sherkati", "R.", "" ] ]
[ -0.05516280233860016, -0.014693972654640675, 0.059258442372083664, 0.02681806869804859, -0.05013243481516838, 0.023158134892582893, 0.07312902063131332, 0.057407744228839874, -0.05104220286011696, 0.01153868343681097, -0.09744737297296524, 0.059004269540309906, 0.00610376289114356, 0.032234251499176025, -0.02276901714503765, -0.049563974142074585, 0.08014994859695435, -0.03972659632563591, -0.005062967073172331, 0.023093750700354576, -0.0018392819911241531, -0.09204868227243423, -0.0129664596170187, 0.04448261111974716, 0.07591210305690765, -0.09411365538835526, -0.06147013604640961, 0.06597097963094711, 0.049808721989393234, -0.04372132197022438, -0.03707720711827278, -0.013736091554164886, 0.06524135172367096, 0.02470714971423149, 0.009403939358890057, 0.015900487080216408, -0.029843004420399666, -0.04104786738753319, 0.024424200877547264, 0.0753459557890892, -0.032025296241045, 0.05460784211754799, 0.01724596694111824, 0.049927644431591034, -0.051000550389289856, 0.058536745607852936, 0.0193347055464983, 0.03214023634791374, -0.007523000705987215, -0.0491812489926815, -0.005492952186614275, 0.019694384187459946, -0.017513055354356766, -0.029644954949617386, -0.02939390391111374, -0.05644746869802475, 0.009533458389341831, -0.07114874571561813, 0.003083739662542939, 0.056464869529008865, 0.034228794276714325, -0.054173391312360764, 0.04101528972387314, 0.009204522706568241, -0.0214755330234766, -0.019176870584487915, 0.07229183614253998, -0.09638994187116623, -0.07789847254753113, 0.10724922269582748, 0.06115178391337395, 0.03306141495704651, -0.07562290877103806, 0.008305183611810207, 0.012197740375995636, 0.027708688750863075, -0.03639930114150047, 0.006696880329400301, -0.08353149145841599, -0.06016133353114128, 0.056537847965955734, 0.03393268957734108, -0.03146776556968689, -0.001308056409470737, 0.00987928919494152, -0.0026497719809412956, -0.01746913231909275, 0.016204923391342163, 0.12280653417110443, 0.0355311743915081, -0.06109350919723511, 0.04922380670905113, -0.06206795945763588, 0.01473391242325306, -0.06595665961503983, -0.026640158146619797, 0.01067169476300478, 0.021448485553264618, -0.009694739244878292, 0.14430540800094604, -0.015154658816754818, 0.03796761855483055, 0.004282913636416197, -0.06788269430398941, 0.03364650532603264, 0.11986636370420456, -0.006664911285042763, 0.04885184019804001, -0.07383762300014496, -0.05932307615876198, -0.02216356061398983, 0.029762467369437218, 0.04370018467307091, 0.08004258573055267, 0.01578427106142044, -0.08789809048175812, 0.06955012679100037, -0.031804971396923065, -0.0027344818226993084, -0.017080102115869522, 0.0630653128027916, -0.03863586112856865, -0.019938359037041664, 0.01759258098900318, -0.05214935913681984, -0.0015331400791183114, -0.06283724308013916, -2.281106251254411e-34, 0.07564907521009445, -0.007571324706077576, 0.02564961090683937, -0.03172716870903969, 0.055158790200948715, 0.06814456731081009, -0.04925455152988434, -0.0441768579185009, -0.060108307749032974, 0.050620704889297485, -0.056579332798719406, 0.03831690549850464, 0.044399186968803406, -0.03133733198046684, 0.07359176874160767, 0.05069327354431152, 0.046555399894714355, -0.023527421057224274, 0.002688376000151038, -0.10992766171693802, 0.007403776049613953, -0.08114908635616302, 0.05059916526079178, 0.001436546677723527, 0.06834451854228973, -0.012469341978430748, -0.009517083875834942, 0.004760415758937597, 0.004580928478389978, -0.05460287630558014, -0.08571869879961014, 0.04892189800739288, 0.09244915097951889, 0.06759410351514816, 0.008566992357373238, 0.0062356614507734776, -0.030283693224191666, -0.006648354697972536, -0.040581848472356796, 0.012493310496211052, 0.03397815302014351, 0.04396848753094673, 0.00013162411050871015, -0.03543819487094879, 0.0691763237118721, 0.06784562766551971, 0.007886732928454876, 0.039758484810590744, -0.0362960509955883, 0.04950256273150444, -0.0092002609744668, -0.003819594858214259, -0.007980491034686565, -0.014299428090453148, -0.014915785752236843, 0.011186794377863407, 0.10015777498483658, 0.06812363862991333, 0.00452503701671958, 0.024061458185315132, -0.035732246935367584, -0.11325883865356445, 0.03786056861281395, -0.040188733488321304, -0.05789308249950409, 0.00781476404517889, -0.05664588138461113, 0.0202193483710289, 0.06825841963291168, -0.07888457924127579, -0.06205892935395241, 0.1445259302854538, -0.06771193444728851, -0.07290062308311462, -0.007232897914946079, -0.013899493962526321, -0.08783987909555435, -0.04738277196884155, -0.06527473777532578, -0.004386093933135271, -0.022114049643278122, -0.09050341695547104, 0.044908225536346436, -0.07101020961999893, -0.03688385710120201, -0.048477280884981155, 0.024972910061478615, -0.009219648316502571, 0.044159479439258575, 0.01022791676223278, -0.07786031812429428, -0.07316800206899643, 0.005449305288493633, 0.016860265284776688, 0.020944347605109215, 8.14425648932875e-34, -0.022190380841493607, -0.08238045871257782, 0.04597654938697815, 0.10059540718793869, 0.002660994417965412, -0.026562387123703957, -0.028276758268475533, 0.035601891577243805, -0.0855085700750351, 0.05061644688248634, 0.05291296914219856, 0.02748335339128971, 0.05737307295203209, 0.00508551811799407, 0.028703885152935982, -0.04042939096689224, 0.01341307908296585, 0.04394133388996124, 0.008858825080096722, -0.016463300213217735, 0.005672366824001074, 0.11054887622594833, -0.04405956342816353, 0.09117582440376282, -0.002596743404865265, 0.05924786254763603, -0.08841637521982193, -0.032578885555267334, 0.010129958391189575, 0.05787752568721771, 0.0060386559925973415, -0.007087893784046173, -0.05447351559996605, -0.0644853487610817, 0.09566082805395126, -0.04581369087100029, 0.09237749874591827, 0.03721792995929718, 0.04092111438512802, 0.10103245079517365, 0.027407653629779816, 0.03584643825888634, 0.029601214453577995, -0.014330691657960415, 0.013399908319115639, 0.13429880142211914, 0.0453435443341732, 0.016478056088089943, -0.0459909550845623, 0.05931182950735092, -0.014771673828363419, -0.09170541167259216, -0.06519237160682678, 0.12129219621419907, -0.04701054096221924, -0.029759284108877182, 0.000818100175820291, -0.011313626542687416, 0.026702558621764183, -0.06577900052070618, -0.024133028462529182, 0.039963047951459885, -0.1349286437034607, -0.005556377116590738, 0.02484394982457161, -0.05361533537507057, -0.05625299736857414, -0.04828176647424698, 0.03779059648513794, 0.07943356782197952, -0.06379435211420059, -0.04290536791086197, -0.0030734785832464695, -0.0019367350032553077, -0.020751364529132843, -0.014084533788263798, 0.06841330230236053, 0.06879453361034393, -0.04169455170631409, 0.16325297951698303, -0.03945394977927208, 0.025080891326069832, 0.032893795520067215, -0.005206035450100899, -0.045581940561532974, -0.029321571812033653, 0.033256083726882935, 0.049586523324251175, 0.0006151272682473063, 0.017712799832224846, -0.05314953625202179, 0.015290401875972748, -0.012224972248077393, -0.024537360295653343, 0.005099516827613115, -5.165951222352305e-8, -0.01650693267583847, -0.011882680468261242, -0.042916085571050644, 0.005614651832729578, 0.04760906845331192, -0.08161883801221848, 0.052424345165491104, 0.09076322615146637, 0.004231924191117287, 0.040944039821624756, 0.05089345946907997, -0.04322776198387146, 0.023378977552056313, 0.016924722120165825, -0.020369980484247208, -0.030420124530792236, -0.014698812738060951, 0.0351058728992939, 0.01728099212050438, -0.021475186571478844, -0.04872237518429756, -0.024635074660182, 0.09152285754680634, -0.03635730966925621, -0.031055936589837074, -0.07118258625268936, -0.10530614852905273, -0.04244194179773331, -0.05982399731874466, 0.005277855787426233, 0.03391930088400841, 0.05066449195146561, 0.15500667691230774, -0.03548895940184593, -0.03887324035167694, 0.03243096545338631, -0.002749382285401225, -0.0020679645240306854, 0.03276965767145157, 0.01611173525452614, 0.005242453888058662, 0.046844836324453354, 0.005779169499874115, -0.04960024729371071, -0.001010853098705411, -0.06233048066496849, 0.06235997751355171, 0.013241018168628216, 0.0172277819365263, 0.04048440232872963, -0.04008940979838371, 0.03456459939479828, -0.04381847009062767, -0.06121232360601425, 0.038997143507003784, -0.07839655876159668, 0.0651828795671463, -0.04474203288555145, -0.0013317408738657832, -0.006658958271145821, 0.007503845728933811, -0.04411706328392029, 0.03234603628516197, -0.017538301646709442 ]
null
null
null
null
null
null
null
[ -0.05516280233860016, -0.014693972654640675, 0.059258442372083664, 0.02681806869804859, -0.05013243481516838, 0.023158134892582893, 0.07312902063131332, 0.057407744228839874, -0.05104220286011696, 0.01153868343681097, -0.09744737297296524, 0.059004269540309906, 0.00610376289114356, 0.032234251499176025, -0.02276901714503765, -0.049563974142074585, 0.08014994859695435, -0.03972659632563591, -0.005062967073172331, 0.023093750700354576, -0.0018392819911241531, -0.09204868227243423, -0.0129664596170187, 0.04448261111974716, 0.07591210305690765, -0.09411365538835526, -0.06147013604640961, 0.06597097963094711, 0.049808721989393234, -0.04372132197022438, -0.03707720711827278, -0.013736091554164886, 0.06524135172367096, 0.02470714971423149, 0.009403939358890057, 0.015900487080216408, -0.029843004420399666, -0.04104786738753319, 0.024424200877547264, 0.0753459557890892, -0.032025296241045, 0.05460784211754799, 0.01724596694111824, 0.049927644431591034, -0.051000550389289856, 0.058536745607852936, 0.0193347055464983, 0.03214023634791374, -0.007523000705987215, -0.0491812489926815, -0.005492952186614275, 0.019694384187459946, -0.017513055354356766, -0.029644954949617386, -0.02939390391111374, -0.05644746869802475, 0.009533458389341831, -0.07114874571561813, 0.003083739662542939, 0.056464869529008865, 0.034228794276714325, -0.054173391312360764, 0.04101528972387314, 0.009204522706568241, -0.0214755330234766, -0.019176870584487915, 0.07229183614253998, -0.09638994187116623, -0.07789847254753113, 0.10724922269582748, 0.06115178391337395, 0.03306141495704651, -0.07562290877103806, 0.008305183611810207, 0.012197740375995636, 0.027708688750863075, -0.03639930114150047, 0.006696880329400301, -0.08353149145841599, -0.06016133353114128, 0.056537847965955734, 0.03393268957734108, -0.03146776556968689, -0.001308056409470737, 0.00987928919494152, -0.0026497719809412956, -0.01746913231909275, 0.016204923391342163, 0.12280653417110443, 0.0355311743915081, -0.06109350919723511, 0.04922380670905113, -0.06206795945763588, 0.01473391242325306, -0.06595665961503983, -0.026640158146619797, 0.01067169476300478, 0.021448485553264618, -0.009694739244878292, 0.14430540800094604, -0.015154658816754818, 0.03796761855483055, 0.004282913636416197, -0.06788269430398941, 0.03364650532603264, 0.11986636370420456, -0.006664911285042763, 0.04885184019804001, -0.07383762300014496, -0.05932307615876198, -0.02216356061398983, 0.029762467369437218, 0.04370018467307091, 0.08004258573055267, 0.01578427106142044, -0.08789809048175812, 0.06955012679100037, -0.031804971396923065, -0.0027344818226993084, -0.017080102115869522, 0.0630653128027916, -0.03863586112856865, -0.019938359037041664, 0.01759258098900318, -0.05214935913681984, -0.0015331400791183114, -0.06283724308013916, -2.281106251254411e-34, 0.07564907521009445, -0.007571324706077576, 0.02564961090683937, -0.03172716870903969, 0.055158790200948715, 0.06814456731081009, -0.04925455152988434, -0.0441768579185009, -0.060108307749032974, 0.050620704889297485, -0.056579332798719406, 0.03831690549850464, 0.044399186968803406, -0.03133733198046684, 0.07359176874160767, 0.05069327354431152, 0.046555399894714355, -0.023527421057224274, 0.002688376000151038, -0.10992766171693802, 0.007403776049613953, -0.08114908635616302, 0.05059916526079178, 0.001436546677723527, 0.06834451854228973, -0.012469341978430748, -0.009517083875834942, 0.004760415758937597, 0.004580928478389978, -0.05460287630558014, -0.08571869879961014, 0.04892189800739288, 0.09244915097951889, 0.06759410351514816, 0.008566992357373238, 0.0062356614507734776, -0.030283693224191666, -0.006648354697972536, -0.040581848472356796, 0.012493310496211052, 0.03397815302014351, 0.04396848753094673, 0.00013162411050871015, -0.03543819487094879, 0.0691763237118721, 0.06784562766551971, 0.007886732928454876, 0.039758484810590744, -0.0362960509955883, 0.04950256273150444, -0.0092002609744668, -0.003819594858214259, -0.007980491034686565, -0.014299428090453148, -0.014915785752236843, 0.011186794377863407, 0.10015777498483658, 0.06812363862991333, 0.00452503701671958, 0.024061458185315132, -0.035732246935367584, -0.11325883865356445, 0.03786056861281395, -0.040188733488321304, -0.05789308249950409, 0.00781476404517889, -0.05664588138461113, 0.0202193483710289, 0.06825841963291168, -0.07888457924127579, -0.06205892935395241, 0.1445259302854538, -0.06771193444728851, -0.07290062308311462, -0.007232897914946079, -0.013899493962526321, -0.08783987909555435, -0.04738277196884155, -0.06527473777532578, -0.004386093933135271, -0.022114049643278122, -0.09050341695547104, 0.044908225536346436, -0.07101020961999893, -0.03688385710120201, -0.048477280884981155, 0.024972910061478615, -0.009219648316502571, 0.044159479439258575, 0.01022791676223278, -0.07786031812429428, -0.07316800206899643, 0.005449305288493633, 0.016860265284776688, 0.020944347605109215, 8.14425648932875e-34, -0.022190380841493607, -0.08238045871257782, 0.04597654938697815, 0.10059540718793869, 0.002660994417965412, -0.026562387123703957, -0.028276758268475533, 0.035601891577243805, -0.0855085700750351, 0.05061644688248634, 0.05291296914219856, 0.02748335339128971, 0.05737307295203209, 0.00508551811799407, 0.028703885152935982, -0.04042939096689224, 0.01341307908296585, 0.04394133388996124, 0.008858825080096722, -0.016463300213217735, 0.005672366824001074, 0.11054887622594833, -0.04405956342816353, 0.09117582440376282, -0.002596743404865265, 0.05924786254763603, -0.08841637521982193, -0.032578885555267334, 0.010129958391189575, 0.05787752568721771, 0.0060386559925973415, -0.007087893784046173, -0.05447351559996605, -0.0644853487610817, 0.09566082805395126, -0.04581369087100029, 0.09237749874591827, 0.03721792995929718, 0.04092111438512802, 0.10103245079517365, 0.027407653629779816, 0.03584643825888634, 0.029601214453577995, -0.014330691657960415, 0.013399908319115639, 0.13429880142211914, 0.0453435443341732, 0.016478056088089943, -0.0459909550845623, 0.05931182950735092, -0.014771673828363419, -0.09170541167259216, -0.06519237160682678, 0.12129219621419907, -0.04701054096221924, -0.029759284108877182, 0.000818100175820291, -0.011313626542687416, 0.026702558621764183, -0.06577900052070618, -0.024133028462529182, 0.039963047951459885, -0.1349286437034607, -0.005556377116590738, 0.02484394982457161, -0.05361533537507057, -0.05625299736857414, -0.04828176647424698, 0.03779059648513794, 0.07943356782197952, -0.06379435211420059, -0.04290536791086197, -0.0030734785832464695, -0.0019367350032553077, -0.020751364529132843, -0.014084533788263798, 0.06841330230236053, 0.06879453361034393, -0.04169455170631409, 0.16325297951698303, -0.03945394977927208, 0.025080891326069832, 0.032893795520067215, -0.005206035450100899, -0.045581940561532974, -0.029321571812033653, 0.033256083726882935, 0.049586523324251175, 0.0006151272682473063, 0.017712799832224846, -0.05314953625202179, 0.015290401875972748, -0.012224972248077393, -0.024537360295653343, 0.005099516827613115, -5.165951222352305e-8, -0.01650693267583847, -0.011882680468261242, -0.042916085571050644, 0.005614651832729578, 0.04760906845331192, -0.08161883801221848, 0.052424345165491104, 0.09076322615146637, 0.004231924191117287, 0.040944039821624756, 0.05089345946907997, -0.04322776198387146, 0.023378977552056313, 0.016924722120165825, -0.020369980484247208, -0.030420124530792236, -0.014698812738060951, 0.0351058728992939, 0.01728099212050438, -0.021475186571478844, -0.04872237518429756, -0.024635074660182, 0.09152285754680634, -0.03635730966925621, -0.031055936589837074, -0.07118258625268936, -0.10530614852905273, -0.04244194179773331, -0.05982399731874466, 0.005277855787426233, 0.03391930088400841, 0.05066449195146561, 0.15500667691230774, -0.03548895940184593, -0.03887324035167694, 0.03243096545338631, -0.002749382285401225, -0.0020679645240306854, 0.03276965767145157, 0.01611173525452614, 0.005242453888058662, 0.046844836324453354, 0.005779169499874115, -0.04960024729371071, -0.001010853098705411, -0.06233048066496849, 0.06235997751355171, 0.013241018168628216, 0.0172277819365263, 0.04048440232872963, -0.04008940979838371, 0.03456459939479828, -0.04381847009062767, -0.06121232360601425, 0.038997143507003784, -0.07839655876159668, 0.0651828795671463, -0.04474203288555145, -0.0013317408738657832, -0.006658958271145821, 0.007503845728933811, -0.04411706328392029, 0.03234603628516197, -0.017538301646709442 ]
1402.0140
Abhishek Halder
Abhishek Halder, Raktim Bhattacharya
Probabilistic Model Validation for Uncertain Nonlinear Systems
24 pages, 14 figures
null
null
null
cs.SY math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a probabilistic model validation methodology for nonlinear systems in time-domain. The proposed formulation is simple, intuitive, and accounts both deterministic and stochastic nonlinear systems with parametric and nonparametric uncertainties. Instead of hard invalidation methods available in the literature, a relaxed notion of validation in probability is introduced. To guarantee provably correct inference, algorithm for constructing probabilistically robust validation certificate is given along with computational complexities. Several examples are worked out to illustrate its use.
[ { "created": "Sun, 2 Feb 2014 00:39:40 GMT", "version": "v1" } ]
2014-02-04
[ [ "Halder", "Abhishek", "" ], [ "Bhattacharya", "Raktim", "" ] ]
[ -0.10028873383998871, -0.045006781816482544, -0.036817725747823715, -0.02281847409904003, -0.005626501049846411, -0.07092038542032242, 0.01572871021926403, 0.030163755640387535, -0.011333624832332134, -0.004492184612900019, 0.0076959696598351, 0.025264665484428406, 0.14312303066253662, -0.006106340326368809, -0.09629536420106888, -0.03316984325647354, 0.003892329288646579, -0.019261308014392853, 0.00983783695846796, -0.034771040081977844, 0.028017131611704826, 0.02299693413078785, -0.05801241099834442, -0.023643458262085915, -0.0011032761540263891, -0.032976265996694565, -0.022138752043247223, 0.07463188469409943, -0.06761841475963593, -0.033272843807935715, -0.00506066158413887, -0.07373913377523422, -0.07553503662347794, -0.06512726843357086, 0.09703534096479416, 0.007685383316129446, -0.009335039183497429, -0.029500020667910576, 0.014165772125124931, 0.024547044187784195, -0.05428474768996239, -0.059556227177381516, 0.005738649982959032, 0.0039732386358082294, 0.037359461188316345, -0.03652964159846306, 0.036995016038417816, -0.05404524505138397, -0.04396889731287956, 0.049237243831157684, -0.01872844062745571, 0.01365426555275917, 0.0451647974550724, -0.014668776653707027, 0.030349483713507652, 0.03081495128571987, 0.01116819866001606, 0.01470135897397995, -0.010422928258776665, -0.044529762119054794, 0.02734571136534214, -0.013814196921885014, -0.07982750982046127, 0.02176683582365513, -0.04672566056251526, 0.11298458278179169, -0.028441142290830612, 0.022746538743376732, 0.035296641290187836, 0.0702861100435257, -0.016607364639639854, 0.03317919746041298, -0.01738281548023224, 0.076149120926857, -0.06397447735071182, -0.07572393119335175, -0.009750554338097572, -0.015611421316862106, -0.023698488250374794, -0.020602580159902573, 0.015118377283215523, 0.004351334180682898, -0.031237082555890083, -0.03063168376684189, 0.0657055601477623, 0.07948707789182663, -0.02676551230251789, 0.020588507875800133, 0.0564747154712677, -0.04736049845814705, 0.01778269372880459, -0.006283062044531107, 0.03026749938726425, 0.05838156118988991, 0.003967756871134043, 0.012626121751964092, 0.0499190129339695, -0.027722151950001717, 0.08639239519834518, 0.07738786935806274, -0.05295439809560776, -0.02478691004216671, 0.0477885827422142, -0.00532147753983736, 0.08890964090824127, 0.02379879541695118, 0.048973243683576584, 0.025506922975182533, 0.051349788904190063, -0.011560932733118534, 0.027743853628635406, -0.008518252521753311, 0.039715725928545, 0.059524547308683395, -0.004721953999251127, 0.029703421518206596, 0.0227486714720726, -0.052707966417074203, -0.04019007459282875, -0.020309654995799065, -0.09309566766023636, 0.05806904658675194, 0.13059112429618835, -0.04815325140953064, -0.0007320408476516604, 0.005528745241463184, 0.09418985992670059, 3.343591559842269e-33, -0.04944048449397087, 0.025278141722083092, 0.012713054195046425, -0.03164684772491455, -0.10356824100017548, 0.01800392009317875, -0.007341247051954269, -0.04550198093056679, -0.007878638803958893, 0.017806872725486755, 0.033602938055992126, -0.05980439484119415, -0.09855565428733826, -0.08159587532281876, 0.0858851745724678, 0.07246287912130356, -0.019436558708548546, 0.0014126698952168226, 0.05034056678414345, 0.03962532803416252, 0.07596012949943542, -0.12961901724338531, -0.05334509536623955, -0.052159324288368225, -0.04542054608464241, 0.022415008395910263, 0.06117653846740723, 0.09837277978658676, 0.05788296461105347, 0.04564613476395607, 0.0010089417919516563, 0.010821864940226078, 0.010294957086443901, -0.05461592227220535, 0.07411277294158936, 0.026065776124596596, -0.04467184469103813, 0.01540254708379507, -0.05326266586780548, -0.028519481420516968, 0.03651618957519531, -0.04126851633191109, 0.007715077139437199, 0.07285970449447632, 0.010512376204133034, -0.031151097267866135, 0.05169270560145378, -0.05962373688817024, -0.017353259027004242, -0.02737993188202381, -0.03077559545636177, -0.0003414564416743815, 0.03773206099867821, 0.011843511834740639, -0.050622161477804184, -0.030375640839338303, 0.03270019590854645, 0.027694497257471085, -0.015539766289293766, 0.07771706581115723, -0.05149827525019646, -0.06882666051387787, 0.032040826976299286, -0.14538247883319855, 0.03619057312607765, 0.10304977744817734, -0.04090164229273796, -0.0011211050441488624, -0.00842729490250349, -0.04322757199406624, 0.02997433952987194, -0.09937392175197601, -0.03675153851509094, -0.04042188078165054, 0.03691376745700836, -0.06006238982081413, 0.07024240493774414, 0.0653730034828186, -0.04977160319685936, -0.05099169537425041, -0.003165072062984109, -0.02574167773127556, -0.027516240254044533, 0.11875033378601074, 0.007531215902417898, -0.03382019326090813, -0.06204100698232651, 0.03581590577960014, -0.14289811253547668, 0.06735578924417496, -0.043870002031326294, 0.05315268784761429, 0.009512685239315033, 0.05152899771928787, -0.026929985731840134, -3.790072232275406e-33, -0.03976879268884659, 0.08026300370693207, 0.07296942919492722, 0.11326266080141068, -0.023513879626989365, -0.03331656754016876, -0.05361983925104141, 0.03922390565276146, 0.00660625658929348, -0.017730917781591415, -0.02937653474509716, -0.08698699623346329, 0.049309343099594116, -0.031206056475639343, -0.002518939785659313, 0.013897181488573551, -0.08799463510513306, 0.0009450484649278224, 0.01846669614315033, 0.03594299778342247, 0.05507684126496315, -0.05967704951763153, -0.05933302640914917, 0.031212246045470238, 0.03138605132699013, 0.08182795345783234, -0.10158442705869675, 0.02558840624988079, 0.030297312885522842, -0.00114051578566432, 0.030637461692094803, 0.029378322884440422, -0.02214162051677704, 0.08150360733270645, -0.021692965179681778, 0.0011040772078558803, -0.004324386361986399, 0.03640356287360191, 0.07913872599601746, 0.0173427015542984, -0.014966093003749847, 0.05857061594724655, -0.07421468943357468, -0.07469499111175537, -0.012815795838832855, 0.0006355484365485609, 0.08447825163602829, 0.015018563717603683, 0.019355852156877518, -0.07722960412502289, -0.03252581134438515, 0.019072558730840683, -0.02668193355202675, 0.04919369891285896, -0.0020986534655094147, 0.03757404536008835, -0.06820650398731232, -0.01266675628721714, 0.015809709206223488, 0.06724841147661209, -0.10490646213293076, -0.04420218989253044, 0.027354517951607704, 0.12778492271900177, -0.0073519861325621605, -0.019748784601688385, -0.043500836938619614, -0.0014260602183640003, 0.03337647765874863, 0.04417192190885544, 0.04672318324446678, 0.04458204656839371, -0.027171524241566658, 0.031394701451063156, 0.004429076798260212, -0.0833144560456276, 0.05468963459134102, 0.037913545966148376, 0.01785057969391346, -0.05215875804424286, 0.041559066623449326, 0.014936365187168121, 0.05538952723145485, 0.005771431606262922, -0.1030845195055008, 0.03550807386636734, 0.07076437026262283, -0.14373157918453217, -0.0016025635413825512, -0.02413485012948513, 0.01748928800225258, 0.04248138517141342, -0.02904397062957287, -0.011610960587859154, -0.07700058817863464, -4.348950710664212e-8, -0.0034401211887598038, 0.03633745759725571, 0.011210075579583645, -0.01624031737446785, -0.01361931674182415, -0.03574863448739052, 0.008466636762022972, -0.10708758234977722, 0.08495335280895233, -0.08722469210624695, 0.04698633775115013, -0.02224964089691639, 0.004011495970189571, -0.07943887263536453, -0.09192509204149246, 0.007284601218998432, -0.012940894812345505, 0.12801240384578705, -0.02243996411561966, 0.034788984805345535, 0.0317823588848114, -0.0138498330488801, -0.03799504414200783, 0.0920451357960701, 0.08340617269277573, -0.024157024919986725, -0.05271698534488678, 0.045331429690122604, 0.021580668166279793, 0.08320822566747665, 0.021323582157492638, 0.011662192642688751, -0.006507361773401499, 0.08912468701601028, 0.014706414192914963, 0.03950989991426468, 0.04687651991844177, -0.04530170187354088, -0.031995419412851334, -0.034579601138830185, -0.009023710153996944, 0.10243596881628036, -0.11980465799570084, -0.0022010887041687965, -0.009486190974712372, 0.03149724751710892, 0.04678673297166824, -0.09058520942926407, -0.01465015858411789, 0.020043538883328438, 0.0004037758335471153, 0.007197095081210136, -0.030328258872032166, -0.004576869774609804, -0.04781037196516991, 0.010775473900139332, 0.040925927460193634, -0.06541541963815689, -0.027567734941840172, -0.02182089537382126, 0.00022781801817473024, 0.10655739903450012, 0.04447725787758827, -0.0368204340338707 ]
null
null
null
null
null
null
null
[ -0.10028873383998871, -0.045006781816482544, -0.036817725747823715, -0.02281847409904003, -0.005626501049846411, -0.07092038542032242, 0.01572871021926403, 0.030163755640387535, -0.011333624832332134, -0.004492184612900019, 0.0076959696598351, 0.025264665484428406, 0.14312303066253662, -0.006106340326368809, -0.09629536420106888, -0.03316984325647354, 0.003892329288646579, -0.019261308014392853, 0.00983783695846796, -0.034771040081977844, 0.028017131611704826, 0.02299693413078785, -0.05801241099834442, -0.023643458262085915, -0.0011032761540263891, -0.032976265996694565, -0.022138752043247223, 0.07463188469409943, -0.06761841475963593, -0.033272843807935715, -0.00506066158413887, -0.07373913377523422, -0.07553503662347794, -0.06512726843357086, 0.09703534096479416, 0.007685383316129446, -0.009335039183497429, -0.029500020667910576, 0.014165772125124931, 0.024547044187784195, -0.05428474768996239, -0.059556227177381516, 0.005738649982959032, 0.0039732386358082294, 0.037359461188316345, -0.03652964159846306, 0.036995016038417816, -0.05404524505138397, -0.04396889731287956, 0.049237243831157684, -0.01872844062745571, 0.01365426555275917, 0.0451647974550724, -0.014668776653707027, 0.030349483713507652, 0.03081495128571987, 0.01116819866001606, 0.01470135897397995, -0.010422928258776665, -0.044529762119054794, 0.02734571136534214, -0.013814196921885014, -0.07982750982046127, 0.02176683582365513, -0.04672566056251526, 0.11298458278179169, -0.028441142290830612, 0.022746538743376732, 0.035296641290187836, 0.0702861100435257, -0.016607364639639854, 0.03317919746041298, -0.01738281548023224, 0.076149120926857, -0.06397447735071182, -0.07572393119335175, -0.009750554338097572, -0.015611421316862106, -0.023698488250374794, -0.020602580159902573, 0.015118377283215523, 0.004351334180682898, -0.031237082555890083, -0.03063168376684189, 0.0657055601477623, 0.07948707789182663, -0.02676551230251789, 0.020588507875800133, 0.0564747154712677, -0.04736049845814705, 0.01778269372880459, -0.006283062044531107, 0.03026749938726425, 0.05838156118988991, 0.003967756871134043, 0.012626121751964092, 0.0499190129339695, -0.027722151950001717, 0.08639239519834518, 0.07738786935806274, -0.05295439809560776, -0.02478691004216671, 0.0477885827422142, -0.00532147753983736, 0.08890964090824127, 0.02379879541695118, 0.048973243683576584, 0.025506922975182533, 0.051349788904190063, -0.011560932733118534, 0.027743853628635406, -0.008518252521753311, 0.039715725928545, 0.059524547308683395, -0.004721953999251127, 0.029703421518206596, 0.0227486714720726, -0.052707966417074203, -0.04019007459282875, -0.020309654995799065, -0.09309566766023636, 0.05806904658675194, 0.13059112429618835, -0.04815325140953064, -0.0007320408476516604, 0.005528745241463184, 0.09418985992670059, 3.343591559842269e-33, -0.04944048449397087, 0.025278141722083092, 0.012713054195046425, -0.03164684772491455, -0.10356824100017548, 0.01800392009317875, -0.007341247051954269, -0.04550198093056679, -0.007878638803958893, 0.017806872725486755, 0.033602938055992126, -0.05980439484119415, -0.09855565428733826, -0.08159587532281876, 0.0858851745724678, 0.07246287912130356, -0.019436558708548546, 0.0014126698952168226, 0.05034056678414345, 0.03962532803416252, 0.07596012949943542, -0.12961901724338531, -0.05334509536623955, -0.052159324288368225, -0.04542054608464241, 0.022415008395910263, 0.06117653846740723, 0.09837277978658676, 0.05788296461105347, 0.04564613476395607, 0.0010089417919516563, 0.010821864940226078, 0.010294957086443901, -0.05461592227220535, 0.07411277294158936, 0.026065776124596596, -0.04467184469103813, 0.01540254708379507, -0.05326266586780548, -0.028519481420516968, 0.03651618957519531, -0.04126851633191109, 0.007715077139437199, 0.07285970449447632, 0.010512376204133034, -0.031151097267866135, 0.05169270560145378, -0.05962373688817024, -0.017353259027004242, -0.02737993188202381, -0.03077559545636177, -0.0003414564416743815, 0.03773206099867821, 0.011843511834740639, -0.050622161477804184, -0.030375640839338303, 0.03270019590854645, 0.027694497257471085, -0.015539766289293766, 0.07771706581115723, -0.05149827525019646, -0.06882666051387787, 0.032040826976299286, -0.14538247883319855, 0.03619057312607765, 0.10304977744817734, -0.04090164229273796, -0.0011211050441488624, -0.00842729490250349, -0.04322757199406624, 0.02997433952987194, -0.09937392175197601, -0.03675153851509094, -0.04042188078165054, 0.03691376745700836, -0.06006238982081413, 0.07024240493774414, 0.0653730034828186, -0.04977160319685936, -0.05099169537425041, -0.003165072062984109, -0.02574167773127556, -0.027516240254044533, 0.11875033378601074, 0.007531215902417898, -0.03382019326090813, -0.06204100698232651, 0.03581590577960014, -0.14289811253547668, 0.06735578924417496, -0.043870002031326294, 0.05315268784761429, 0.009512685239315033, 0.05152899771928787, -0.026929985731840134, -3.790072232275406e-33, -0.03976879268884659, 0.08026300370693207, 0.07296942919492722, 0.11326266080141068, -0.023513879626989365, -0.03331656754016876, -0.05361983925104141, 0.03922390565276146, 0.00660625658929348, -0.017730917781591415, -0.02937653474509716, -0.08698699623346329, 0.049309343099594116, -0.031206056475639343, -0.002518939785659313, 0.013897181488573551, -0.08799463510513306, 0.0009450484649278224, 0.01846669614315033, 0.03594299778342247, 0.05507684126496315, -0.05967704951763153, -0.05933302640914917, 0.031212246045470238, 0.03138605132699013, 0.08182795345783234, -0.10158442705869675, 0.02558840624988079, 0.030297312885522842, -0.00114051578566432, 0.030637461692094803, 0.029378322884440422, -0.02214162051677704, 0.08150360733270645, -0.021692965179681778, 0.0011040772078558803, -0.004324386361986399, 0.03640356287360191, 0.07913872599601746, 0.0173427015542984, -0.014966093003749847, 0.05857061594724655, -0.07421468943357468, -0.07469499111175537, -0.012815795838832855, 0.0006355484365485609, 0.08447825163602829, 0.015018563717603683, 0.019355852156877518, -0.07722960412502289, -0.03252581134438515, 0.019072558730840683, -0.02668193355202675, 0.04919369891285896, -0.0020986534655094147, 0.03757404536008835, -0.06820650398731232, -0.01266675628721714, 0.015809709206223488, 0.06724841147661209, -0.10490646213293076, -0.04420218989253044, 0.027354517951607704, 0.12778492271900177, -0.0073519861325621605, -0.019748784601688385, -0.043500836938619614, -0.0014260602183640003, 0.03337647765874863, 0.04417192190885544, 0.04672318324446678, 0.04458204656839371, -0.027171524241566658, 0.031394701451063156, 0.004429076798260212, -0.0833144560456276, 0.05468963459134102, 0.037913545966148376, 0.01785057969391346, -0.05215875804424286, 0.041559066623449326, 0.014936365187168121, 0.05538952723145485, 0.005771431606262922, -0.1030845195055008, 0.03550807386636734, 0.07076437026262283, -0.14373157918453217, -0.0016025635413825512, -0.02413485012948513, 0.01748928800225258, 0.04248138517141342, -0.02904397062957287, -0.011610960587859154, -0.07700058817863464, -4.348950710664212e-8, -0.0034401211887598038, 0.03633745759725571, 0.011210075579583645, -0.01624031737446785, -0.01361931674182415, -0.03574863448739052, 0.008466636762022972, -0.10708758234977722, 0.08495335280895233, -0.08722469210624695, 0.04698633775115013, -0.02224964089691639, 0.004011495970189571, -0.07943887263536453, -0.09192509204149246, 0.007284601218998432, -0.012940894812345505, 0.12801240384578705, -0.02243996411561966, 0.034788984805345535, 0.0317823588848114, -0.0138498330488801, -0.03799504414200783, 0.0920451357960701, 0.08340617269277573, -0.024157024919986725, -0.05271698534488678, 0.045331429690122604, 0.021580668166279793, 0.08320822566747665, 0.021323582157492638, 0.011662192642688751, -0.006507361773401499, 0.08912468701601028, 0.014706414192914963, 0.03950989991426468, 0.04687651991844177, -0.04530170187354088, -0.031995419412851334, -0.034579601138830185, -0.009023710153996944, 0.10243596881628036, -0.11980465799570084, -0.0022010887041687965, -0.009486190974712372, 0.03149724751710892, 0.04678673297166824, -0.09058520942926407, -0.01465015858411789, 0.020043538883328438, 0.0004037758335471153, 0.007197095081210136, -0.030328258872032166, -0.004576869774609804, -0.04781037196516991, 0.010775473900139332, 0.040925927460193634, -0.06541541963815689, -0.027567734941840172, -0.02182089537382126, 0.00022781801817473024, 0.10655739903450012, 0.04447725787758827, -0.0368204340338707 ]
1402.0145
Joshua C. Long
H. Yan, E. A. Housworth, H. O. Meyer, G. Visser, E. Weisman, and J. C. Long
Absolute measurement of thermal noise in a resonant short-range force experiment
28 pages, 10 figures, new title, additional references and discussion of force sensitivity, minor corrections
Class. Quantum Grav. 31 205007 (2014)
10.1088/0264-9381/31/20/205007
null
cond-mat.stat-mech gr-qc hep-ph physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Planar, double-torsional oscillators are especially suitable for short-range macroscopic force search experiments, since they can be operated at the limit of instrumental thermal noise. As a study of this limit, we report a measurement of the noise kinetic energy of a polycrystalline tungsten oscillator in thermal equilibrium at room temperature. The fluctuations of the oscillator in a high-Q torsional mode with a resonance frequency near 1 kHz are detected with capacitive transducers coupled to a sensitive differential amplifier. The electronic processing is calibrated by means of a known electrostatic force and input from a finite element model. The measured average kinetic energy is in agreement with the expected value of 1/2 kT.
[ { "created": "Sun, 2 Feb 2014 03:01:56 GMT", "version": "v1" }, { "created": "Thu, 23 Oct 2014 14:34:04 GMT", "version": "v2" } ]
2014-10-27
[ [ "Yan", "H.", "" ], [ "Housworth", "E. A.", "" ], [ "Meyer", "H. O.", "" ], [ "Visser", "G.", "" ], [ "Weisman", "E.", "" ], [ "Long", "J. C.", "" ] ]
[ -0.058865562081336975, -0.0306936614215374, 0.04015123471617699, 0.07098866999149323, -0.05019298940896988, -0.05972079560160637, 0.016322912648320198, -0.060077160596847534, 0.03790795058012009, 0.010915027931332588, 0.027354447171092033, -0.1060897558927536, 0.05093839764595032, 0.0043465313501656055, -0.02475283481180668, -0.03178323805332184, 0.005285677034407854, 0.04969784989953041, -0.0015434322413057089, 0.037326861172914505, 0.006678089499473572, 0.037522703409194946, 0.10140470415353775, -0.022949982434511185, 0.03442363068461418, 0.008242988027632236, 0.030850082635879517, -0.007152588572353125, -0.061314523220062256, 0.021762002259492874, 0.01907983422279358, -0.07099176943302155, -0.0631832703948021, 0.0472220815718174, 0.04605841636657715, -0.07253158837556839, -0.011693707667291164, -0.07985518872737885, -0.013888495042920113, -0.023380758240818977, -0.030910741537809372, 0.06485437601804733, 0.06109011173248291, 0.06570527702569962, 0.06338807940483093, -0.02356506511569023, 0.11940277367830276, -0.1654862016439438, -0.004656703677028418, 0.013676405884325504, 0.03528838977217674, -0.11600544303655624, 0.11257120221853256, 0.07479789853096008, -0.028698816895484924, 0.019500454887747765, 0.086592897772789, 0.0050256941467523575, 0.061409540474414825, -0.008545047603547573, 0.05462826043367386, -0.06669852137565613, -0.0018251625588163733, -0.029362045228481293, -0.013773641549050808, -0.004281142260879278, 0.03713032230734825, -0.01683979295194149, -0.01680663600564003, -0.04870694875717163, -0.04849386587738991, 0.034868791699409485, 0.024274423718452454, 0.007119288202375174, 0.042308565229177475, -0.04722972959280014, -0.1217847391963005, 0.043933723121881485, 0.05186234042048454, 0.05839816480875015, -0.021423080936074257, -0.19525334239006042, -0.035336971282958984, -0.10186843574047089, 0.00044333923142403364, 0.00968461949378252, 0.10216409713029861, -0.05092989280819893, 0.041137438267469406, 0.0116533562541008, -0.04689754545688629, 0.029562700539827347, -0.10915707796812057, -0.020371457561850548, -0.04778432846069336, -0.055560365319252014, 0.09885235875844955, 0.03565698489546776, 0.028965981677174568, -0.001211483497172594, -0.003246001433581114, -0.026510750874876976, -0.022166650742292404, 0.08614315837621689, -0.009717391803860664, 0.020541364327073097, 0.02080538496375084, -0.04682964086532593, -0.03805823624134064, 0.05069113150238991, -0.016977382823824883, 0.06373593956232071, -0.03178684413433075, 0.06657838821411133, 0.06954310834407806, -0.028414838016033173, -0.055508773773908615, 0.07909396290779114, -0.002416551811620593, -0.0690481960773468, -0.051613468676805496, -0.031549979001283646, -0.08813158422708511, 0.004634459502995014, -0.006717097945511341, 0.02303345873951912, -0.09101765602827072, 3.044319514330546e-33, 0.04219283536076546, 0.010011929087340832, 0.009453758597373962, -0.01689455658197403, -0.0397815965116024, -0.09631816297769547, -0.022881701588630676, 0.06552771478891373, -0.0401788167655468, 0.0356459841132164, 0.02396485209465027, 0.02617458812892437, -0.008539712056517601, -0.004542309325188398, 0.06124170869588852, -0.0021763460244983435, 0.00019432127010077238, -0.005104088224470615, 0.0636652335524559, -0.05171921104192734, 0.0779598131775856, -0.04759093001484871, 0.050760719925165176, 0.084022656083107, 0.015151450410485268, 0.0038501182571053505, 0.012409389950335026, -0.01725868508219719, 0.0004916615434922278, -0.010701961815357208, -0.03643534332513809, -0.028606168925762177, -0.023331357166171074, -0.013270360417664051, -0.002343879546970129, 0.01742962934076786, -0.011589333415031433, 0.10117512196302414, -0.024925023317337036, -0.029499592259526253, 0.05583289638161659, -0.06190677359700203, 0.035428356379270554, 0.031572774052619934, 0.027594072744250298, 0.0406176820397377, -0.0014872258761897683, 0.027182182297110558, 0.06325075775384903, -0.0009044330799952149, -0.07712733000516891, -0.023067332804203033, -0.010481484234333038, 0.11278466135263443, 0.11514021456241608, 0.019762415438890457, 0.09797552227973938, -0.03494759649038315, -0.008816778659820557, 0.002619303995743394, -0.05324515327811241, 0.036104075610637665, 0.13495174050331116, -0.05025247856974602, -0.052552834153175354, 0.09291697293519974, -0.05474519357085228, 0.02155870571732521, 0.005573804955929518, -0.05772985517978668, 0.04443702474236488, 0.04170999675989151, -0.014057541266083717, -0.011695871129631996, -0.01632322557270527, 0.07268161326646805, -0.026509031653404236, -0.0559210404753685, 0.0024699477944523096, -0.025211531668901443, 0.053031593561172485, -0.05955217778682709, 0.030750175938010216, 0.031476397067308426, 0.011216206476092339, -0.09999328851699829, 0.018909933045506477, -0.05230733007192612, -0.03468023240566254, 0.029475431889295578, -0.011683016084134579, -0.021514831110835075, -0.04347171634435654, 0.02328485995531082, -0.007019395474344492, -4.1091227049236834e-33, 0.049320437014102936, 0.003151252865791321, 0.09468449652194977, 0.07005587220191956, 0.0034561713691800833, -0.004643346648663282, -0.05688430368900299, -0.031804900616407394, 0.0026128599420189857, -0.07569237798452377, -0.0032192969229072332, -0.031418099999427795, 0.009588617831468582, 0.008995275013148785, -0.004572687204927206, 0.013981719501316547, 0.018405690789222717, -0.012646444141864777, 0.10786385834217072, 0.02921457402408123, 0.03151095286011696, 0.030321365222334862, -0.0027687707915902138, -0.019659217447042465, 0.032821450382471085, 0.0025930264964699745, 0.005873418413102627, -0.03472748026251793, -0.03680766746401787, 0.05083693936467171, -0.047560274600982666, 0.03544265404343605, 0.07888659089803696, -0.04987455904483795, 0.0013352702371776104, -0.006509693339467049, 0.04592785984277725, 0.01828814670443535, 0.10204125940799713, 0.010559898801147938, -0.013308878988027573, 0.01940300315618515, -0.020784640684723854, 0.0016257036477327347, -0.0066887978464365005, -0.01608492247760296, -0.016437379643321037, -0.04065372422337532, 0.08644352108240128, 0.020151879638433456, 0.11669418215751648, 0.03940353915095329, -0.010517180897295475, -0.0202499907463789, -0.014197634533047676, 0.012561134994029999, -0.13706102967262268, 0.010525288991630077, 0.011136387474834919, -0.08909323811531067, 0.023709140717983246, -0.013720247894525528, 0.0007752475794404745, 0.008587479591369629, -0.0907910168170929, 0.025177061557769775, -0.034497641026973724, -0.05042307451367378, 0.03789546340703964, -0.06616970151662827, 0.03078175149857998, 0.02241227589547634, 0.07990385591983795, 0.0438055694103241, 0.01307733729481697, -0.04622173309326172, 0.05424971878528595, -0.1350831836462021, 0.0047752042300999165, 0.04498619586229324, 0.014345675706863403, 0.04156915843486786, 0.014329459518194199, -0.07463027536869049, -0.027220722287893295, -0.05307650566101074, -0.03115171380341053, -0.020966248586773872, -0.013093838468194008, -0.03235916793346405, 0.05083620175719261, -0.007323312107473612, 0.05856844410300255, 0.019096188247203827, 0.06275980919599533, -4.831153077589079e-8, -0.033444467931985855, -0.02451862022280693, -0.023297762498259544, -0.05565256252884865, 0.04615575447678566, 0.07703186571598053, 0.023800568655133247, -0.1183474063873291, 0.03507673740386963, -0.1005801409482956, 0.04742853343486786, 0.009925954043865204, -0.026859264820814133, 0.039779677987098694, -0.03244262561202049, -0.024090439081192017, 0.010082370601594448, -0.012196430005133152, -0.002073591109365225, -0.038362424820661545, 0.03657856956124306, 0.03745005279779434, 0.05469744652509689, -0.046297721564769745, 0.014042061753571033, 0.03477700054645538, -0.06803370267152786, -0.016259558498859406, -0.025768090039491653, 0.023969676345586777, -0.041321445256471634, -0.09168416261672974, -0.031960487365722656, -0.023053526878356934, -0.019431138411164284, 0.0427682138979435, -0.07148746401071548, 0.034467168152332306, 0.02216782607138157, 0.029648402705788612, -0.049242053180933, 0.0002507127355784178, -0.09017718583345413, 0.05959324911236763, -0.07257755100727081, 0.00653522415086627, -0.06008215621113777, 0.01464623399078846, 0.026845021173357964, 0.02329941838979721, 0.059735242277383804, 0.033197999000549316, -0.01711237244307995, -0.010108458809554577, -0.05271365866065025, 0.13419942557811737, 0.00657691340893507, 0.05137649178504944, -0.1301698386669159, 0.0008603668538853526, -0.012376749888062477, -0.16001658141613007, -0.01942482404410839, -0.03608516603708267 ]
null
null
null
null
null
null
null
[ -0.058865562081336975, -0.0306936614215374, 0.04015123471617699, 0.07098866999149323, -0.05019298940896988, -0.05972079560160637, 0.016322912648320198, -0.060077160596847534, 0.03790795058012009, 0.010915027931332588, 0.027354447171092033, -0.1060897558927536, 0.05093839764595032, 0.0043465313501656055, -0.02475283481180668, -0.03178323805332184, 0.005285677034407854, 0.04969784989953041, -0.0015434322413057089, 0.037326861172914505, 0.006678089499473572, 0.037522703409194946, 0.10140470415353775, -0.022949982434511185, 0.03442363068461418, 0.008242988027632236, 0.030850082635879517, -0.007152588572353125, -0.061314523220062256, 0.021762002259492874, 0.01907983422279358, -0.07099176943302155, -0.0631832703948021, 0.0472220815718174, 0.04605841636657715, -0.07253158837556839, -0.011693707667291164, -0.07985518872737885, -0.013888495042920113, -0.023380758240818977, -0.030910741537809372, 0.06485437601804733, 0.06109011173248291, 0.06570527702569962, 0.06338807940483093, -0.02356506511569023, 0.11940277367830276, -0.1654862016439438, -0.004656703677028418, 0.013676405884325504, 0.03528838977217674, -0.11600544303655624, 0.11257120221853256, 0.07479789853096008, -0.028698816895484924, 0.019500454887747765, 0.086592897772789, 0.0050256941467523575, 0.061409540474414825, -0.008545047603547573, 0.05462826043367386, -0.06669852137565613, -0.0018251625588163733, -0.029362045228481293, -0.013773641549050808, -0.004281142260879278, 0.03713032230734825, -0.01683979295194149, -0.01680663600564003, -0.04870694875717163, -0.04849386587738991, 0.034868791699409485, 0.024274423718452454, 0.007119288202375174, 0.042308565229177475, -0.04722972959280014, -0.1217847391963005, 0.043933723121881485, 0.05186234042048454, 0.05839816480875015, -0.021423080936074257, -0.19525334239006042, -0.035336971282958984, -0.10186843574047089, 0.00044333923142403364, 0.00968461949378252, 0.10216409713029861, -0.05092989280819893, 0.041137438267469406, 0.0116533562541008, -0.04689754545688629, 0.029562700539827347, -0.10915707796812057, -0.020371457561850548, -0.04778432846069336, -0.055560365319252014, 0.09885235875844955, 0.03565698489546776, 0.028965981677174568, -0.001211483497172594, -0.003246001433581114, -0.026510750874876976, -0.022166650742292404, 0.08614315837621689, -0.009717391803860664, 0.020541364327073097, 0.02080538496375084, -0.04682964086532593, -0.03805823624134064, 0.05069113150238991, -0.016977382823824883, 0.06373593956232071, -0.03178684413433075, 0.06657838821411133, 0.06954310834407806, -0.028414838016033173, -0.055508773773908615, 0.07909396290779114, -0.002416551811620593, -0.0690481960773468, -0.051613468676805496, -0.031549979001283646, -0.08813158422708511, 0.004634459502995014, -0.006717097945511341, 0.02303345873951912, -0.09101765602827072, 3.044319514330546e-33, 0.04219283536076546, 0.010011929087340832, 0.009453758597373962, -0.01689455658197403, -0.0397815965116024, -0.09631816297769547, -0.022881701588630676, 0.06552771478891373, -0.0401788167655468, 0.0356459841132164, 0.02396485209465027, 0.02617458812892437, -0.008539712056517601, -0.004542309325188398, 0.06124170869588852, -0.0021763460244983435, 0.00019432127010077238, -0.005104088224470615, 0.0636652335524559, -0.05171921104192734, 0.0779598131775856, -0.04759093001484871, 0.050760719925165176, 0.084022656083107, 0.015151450410485268, 0.0038501182571053505, 0.012409389950335026, -0.01725868508219719, 0.0004916615434922278, -0.010701961815357208, -0.03643534332513809, -0.028606168925762177, -0.023331357166171074, -0.013270360417664051, -0.002343879546970129, 0.01742962934076786, -0.011589333415031433, 0.10117512196302414, -0.024925023317337036, -0.029499592259526253, 0.05583289638161659, -0.06190677359700203, 0.035428356379270554, 0.031572774052619934, 0.027594072744250298, 0.0406176820397377, -0.0014872258761897683, 0.027182182297110558, 0.06325075775384903, -0.0009044330799952149, -0.07712733000516891, -0.023067332804203033, -0.010481484234333038, 0.11278466135263443, 0.11514021456241608, 0.019762415438890457, 0.09797552227973938, -0.03494759649038315, -0.008816778659820557, 0.002619303995743394, -0.05324515327811241, 0.036104075610637665, 0.13495174050331116, -0.05025247856974602, -0.052552834153175354, 0.09291697293519974, -0.05474519357085228, 0.02155870571732521, 0.005573804955929518, -0.05772985517978668, 0.04443702474236488, 0.04170999675989151, -0.014057541266083717, -0.011695871129631996, -0.01632322557270527, 0.07268161326646805, -0.026509031653404236, -0.0559210404753685, 0.0024699477944523096, -0.025211531668901443, 0.053031593561172485, -0.05955217778682709, 0.030750175938010216, 0.031476397067308426, 0.011216206476092339, -0.09999328851699829, 0.018909933045506477, -0.05230733007192612, -0.03468023240566254, 0.029475431889295578, -0.011683016084134579, -0.021514831110835075, -0.04347171634435654, 0.02328485995531082, -0.007019395474344492, -4.1091227049236834e-33, 0.049320437014102936, 0.003151252865791321, 0.09468449652194977, 0.07005587220191956, 0.0034561713691800833, -0.004643346648663282, -0.05688430368900299, -0.031804900616407394, 0.0026128599420189857, -0.07569237798452377, -0.0032192969229072332, -0.031418099999427795, 0.009588617831468582, 0.008995275013148785, -0.004572687204927206, 0.013981719501316547, 0.018405690789222717, -0.012646444141864777, 0.10786385834217072, 0.02921457402408123, 0.03151095286011696, 0.030321365222334862, -0.0027687707915902138, -0.019659217447042465, 0.032821450382471085, 0.0025930264964699745, 0.005873418413102627, -0.03472748026251793, -0.03680766746401787, 0.05083693936467171, -0.047560274600982666, 0.03544265404343605, 0.07888659089803696, -0.04987455904483795, 0.0013352702371776104, -0.006509693339467049, 0.04592785984277725, 0.01828814670443535, 0.10204125940799713, 0.010559898801147938, -0.013308878988027573, 0.01940300315618515, -0.020784640684723854, 0.0016257036477327347, -0.0066887978464365005, -0.01608492247760296, -0.016437379643321037, -0.04065372422337532, 0.08644352108240128, 0.020151879638433456, 0.11669418215751648, 0.03940353915095329, -0.010517180897295475, -0.0202499907463789, -0.014197634533047676, 0.012561134994029999, -0.13706102967262268, 0.010525288991630077, 0.011136387474834919, -0.08909323811531067, 0.023709140717983246, -0.013720247894525528, 0.0007752475794404745, 0.008587479591369629, -0.0907910168170929, 0.025177061557769775, -0.034497641026973724, -0.05042307451367378, 0.03789546340703964, -0.06616970151662827, 0.03078175149857998, 0.02241227589547634, 0.07990385591983795, 0.0438055694103241, 0.01307733729481697, -0.04622173309326172, 0.05424971878528595, -0.1350831836462021, 0.0047752042300999165, 0.04498619586229324, 0.014345675706863403, 0.04156915843486786, 0.014329459518194199, -0.07463027536869049, -0.027220722287893295, -0.05307650566101074, -0.03115171380341053, -0.020966248586773872, -0.013093838468194008, -0.03235916793346405, 0.05083620175719261, -0.007323312107473612, 0.05856844410300255, 0.019096188247203827, 0.06275980919599533, -4.831153077589079e-8, -0.033444467931985855, -0.02451862022280693, -0.023297762498259544, -0.05565256252884865, 0.04615575447678566, 0.07703186571598053, 0.023800568655133247, -0.1183474063873291, 0.03507673740386963, -0.1005801409482956, 0.04742853343486786, 0.009925954043865204, -0.026859264820814133, 0.039779677987098694, -0.03244262561202049, -0.024090439081192017, 0.010082370601594448, -0.012196430005133152, -0.002073591109365225, -0.038362424820661545, 0.03657856956124306, 0.03745005279779434, 0.05469744652509689, -0.046297721564769745, 0.014042061753571033, 0.03477700054645538, -0.06803370267152786, -0.016259558498859406, -0.025768090039491653, 0.023969676345586777, -0.041321445256471634, -0.09168416261672974, -0.031960487365722656, -0.023053526878356934, -0.019431138411164284, 0.0427682138979435, -0.07148746401071548, 0.034467168152332306, 0.02216782607138157, 0.029648402705788612, -0.049242053180933, 0.0002507127355784178, -0.09017718583345413, 0.05959324911236763, -0.07257755100727081, 0.00653522415086627, -0.06008215621113777, 0.01464623399078846, 0.026845021173357964, 0.02329941838979721, 0.059735242277383804, 0.033197999000549316, -0.01711237244307995, -0.010108458809554577, -0.05271365866065025, 0.13419942557811737, 0.00657691340893507, 0.05137649178504944, -0.1301698386669159, 0.0008603668538853526, -0.012376749888062477, -0.16001658141613007, -0.01942482404410839, -0.03608516603708267 ]
1402.0146
Zhengjun Cao
Zhengjun Cao and Lihua Liu
Remarks on AKS Primality Testing Algorithm and A Flaw in the Definition of P
null
null
null
null
cs.CC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We remark that the AKS primality testing algorithm [Annals of Mathematics 160 (2), 2004] needs about 1,000,000,000 G (gigabyte) storage space for a number of 1024 bits. The requirement is very hard to meet. The complexity class P which contains all decision problems that can be solved by a deterministic Turing machine using a polynomial amount of computation time, is generally believed to be ``easy". We point out that the time is estimated only in terms of the amount of arithmetic operations. It does not comprise the time for reading and writing data on the tape in a Turing machine. The flaw makes some deterministic polynomial time algorithms impractical, and humbles the importance of P=NP question.
[ { "created": "Sun, 2 Feb 2014 03:12:24 GMT", "version": "v1" } ]
2014-02-04
[ [ "Cao", "Zhengjun", "" ], [ "Liu", "Lihua", "" ] ]
[ -0.05590463802218437, 0.018913403153419495, -0.05663227289915085, -0.00537215918302536, 0.030684813857078552, -0.07019780576229095, 0.03257816284894943, 0.04847763851284981, -0.05669323727488518, 0.12448194622993469, -0.0868314653635025, 0.05709359049797058, -0.0155867924913764, 0.01172082033008337, -0.058636341243982315, -0.07084650546312332, -0.009860897436738014, -0.0013981293886899948, 0.03223075345158577, -0.02753123827278614, -0.014267261140048504, -0.06835854053497314, -0.003543486585840583, -0.04625620320439339, 0.004744257312268019, 0.0572030134499073, 0.018250413239002228, -0.08411455899477005, 0.03915746882557869, -0.021731633692979813, -0.006442539859563112, -0.006610480602830648, 0.14110727608203888, 0.008289651945233345, 0.09887534379959106, 0.08026710152626038, 0.03227302059531212, -0.0013659927062690258, 0.013527918606996536, 0.03702022507786751, 0.10473843663930893, -0.03228611499071121, -0.0029074507765471935, -0.012025834061205387, 0.033317387104034424, 0.031749263405799866, -0.029855694621801376, -0.014032591134309769, -0.06962166726589203, 0.014524669386446476, -0.03584875911474228, -0.012377140112221241, -0.05132652074098587, -0.02662908099591732, -0.06453128904104233, -0.13629920780658722, 0.08448798209428787, -0.0016048891702666879, -0.03054279088973999, -0.014184749685227871, -0.0638754665851593, -0.06877721846103668, -0.027747254818677902, -0.004281269386410713, 0.10037940740585327, 0.12110625207424164, 0.10561055690050125, -0.016588788479566574, 0.028465459123253822, 0.019751891493797302, 0.012657291255891323, 0.10505203902721405, -0.07734698057174683, 0.07309865951538086, 0.002071850234642625, -0.0698501393198967, 0.04837661609053612, -0.012112310156226158, -0.01972397044301033, 0.026728378608822823, 0.010856854729354382, -0.06275558471679688, -0.003790131537243724, -0.02573947049677372, 0.013509390875697136, -0.015016782097518444, -0.019227080047130585, 0.0152633897960186, -0.0017362782964482903, -0.08715599775314331, -0.005474597215652466, -0.014952283352613449, -0.000560206186491996, 0.03485564514994621, -0.005722853820770979, 0.05570760369300842, -0.0180536936968565, 0.02747398428618908, 0.006606244016438723, 0.009206729009747505, -0.015236590057611465, 0.04370521381497383, -0.05697565898299217, -0.008595418184995651, -0.005562993232160807, 0.014761441387236118, 0.021948320791125298, -0.05713239684700966, -0.032140105962753296, -0.03408385440707207, 0.028979262337088585, 0.016395483165979385, 0.04161866009235382, 0.0209824051707983, 0.08871719986200333, -0.07785888016223907, -0.08024220168590546, 0.02438846044242382, -0.030070802196860313, 0.027766576036810875, 0.009543146006762981, 0.05446664243936539, 0.02082490548491478, 0.008916644379496574, 0.014360368251800537, 0.016146238893270493, -0.020824456587433815, 3.9562500319412296e-33, -0.000855743361171335, 0.04470086097717285, 0.0554051399230957, -0.03052000142633915, 0.03035278618335724, 0.03120441548526287, 0.028967225924134254, 0.0424235463142395, -0.00574460020288825, 0.035025808960199356, 0.008047356270253658, 0.006572024896740913, 0.020529013127088547, -0.04826521500945091, 0.10156869143247604, 0.05205155536532402, 0.03495154529809952, 0.0001690101344138384, -0.0011366588296368718, -0.04051598161458969, 0.06698740273714066, -0.03942687064409256, -0.017918238416314125, -0.043719545006752014, 0.01738474704325199, -0.04381402209401131, 0.029533226042985916, -0.08800669014453888, 0.06667053699493408, 0.021102210506796837, -0.17020215094089508, 0.009049396961927414, -0.09606829285621643, 0.07610368728637695, 0.03812390938401222, -0.013937574811279774, -0.06533665955066681, -0.03110884502530098, -0.057554442435503006, -0.031051030382514, -0.02783912606537342, -0.01066439226269722, 0.020036835223436356, -0.01614840142428875, -0.10157020390033722, -0.08528788387775421, -0.018866239115595818, 0.0035246871411800385, 0.01717744953930378, 0.036721281707286835, 0.02395455725491047, -0.028361596167087555, -0.054691947996616364, 0.03307732939720154, 0.06734037399291992, -0.04415637254714966, 0.02508164942264557, -0.012393052689731121, 0.027097182348370552, 0.18584510684013367, 0.10573748499155045, -0.014600547961890697, 0.0489867739379406, 0.034549180418252945, -0.08177188038825989, 0.06505213677883148, -0.049884237349033356, 0.01242794655263424, 0.13303107023239136, 0.06289126724004745, -0.012348528020083904, -0.002110755071043968, 0.004918096121400595, -0.040900036692619324, 0.021034935489296913, -0.006302773952484131, 0.12945188581943512, -0.03790527954697609, -0.04354318976402283, -0.012409661896526814, -0.012795972637832165, -0.020677896216511726, 0.039448466151952744, 0.029870767146348953, 0.009767004288733006, -0.1027107685804367, 0.02465873584151268, -0.0008373273303732276, -0.019995389506220818, -0.09963226318359375, -0.03305276855826378, 0.02352946624159813, 0.04459177702665329, -0.05284140631556511, -0.054722510278224945, -4.219218403795745e-33, 0.0011027046712115407, -0.016394058242440224, -0.048955805599689484, 0.1439998745918274, -0.05492982640862465, -0.07775136828422546, -0.009789290837943554, -0.04216293618083, 0.006997800897806883, 0.07743801176548004, 0.0012713026953861117, -0.04866872355341911, 0.07358204573392868, 0.0527314618229866, -0.0021074700634926558, -0.04500023275613785, -0.030954228714108467, 0.017418881878256798, 0.03976355120539665, -0.02298351563513279, 0.005559219978749752, 0.09430747479200363, 0.04080621525645256, -0.005399730987846851, -0.012628029100596905, 0.01230724435299635, -0.10787279903888702, -0.032639022916555405, -0.03719067946076393, 0.08000192046165466, -0.03448386490345001, -0.019306208938360214, -0.13516637682914734, -0.027079464867711067, 0.004778233356773853, -0.004362411797046661, 0.10090669244527817, 0.05688023939728737, -0.06453206390142441, 0.04945378378033638, 0.022318203002214432, 0.06666914373636246, -0.029054448008537292, -0.06086381524801254, 0.04093513637781143, 0.038681790232658386, -0.006159493234008551, 0.01555836945772171, 0.11016177386045456, -0.06196621432900429, 0.07847855240106583, 0.005132204387336969, 0.0754823237657547, 0.04169576242566109, 0.00044898613123223186, 0.0176094863563776, -0.07489040493965149, 0.08037806302309036, 0.04760674014687538, 0.0034559674095362425, -0.04958171024918556, -0.033371102064847946, 0.01910358853638172, 0.05983778461813927, -0.0028566347900778055, -0.03888614475727081, 0.04054191708564758, -0.0057373130694031715, -0.04148751497268677, 0.030134161934256554, 0.06035171449184418, 0.02843940444290638, -0.007380359806120396, 0.08885253965854645, -0.0490276962518692, 0.08877827227115631, 0.03065204806625843, 0.01389367412775755, 0.01033092476427555, -0.015234587714076042, 0.03323981165885925, 0.013274731114506721, -0.05959508568048477, -0.04420549049973488, -0.11479368060827255, 0.04041866585612297, 0.13036039471626282, -0.08624467998743057, -0.05299568176269531, -0.06181950122117996, -0.02284294366836548, -0.0015645349631085992, 0.025407258421182632, 0.012298076413571835, -0.01873227395117283, -4.905967543322731e-8, -0.017066728323698044, -0.00474725104868412, -0.022395174950361252, -0.015737297013401985, 0.06992850452661514, -0.05559339374303818, 0.012794388458132744, -0.03468027338385582, 0.014117001555860043, -0.04563719779253006, 0.08365597575902939, -0.011297023855149746, -0.029738187789916992, 0.06108144298195839, -0.007497578393667936, 0.05185874179005623, -0.014018849469721317, -0.05729314312338829, -0.03061835467815399, -0.013223260641098022, 0.017148712649941444, -0.0074834455735981464, 0.016719531267881393, 0.005905206315219402, -0.06523260474205017, -0.020791975781321526, 0.08610019087791443, 0.022811515256762505, 0.05559324845671654, 0.05535690486431122, 0.0007474108133465052, -0.018199142068624496, 0.016566772013902664, -0.06472197920084, 0.06928608566522598, 0.007111022714525461, -0.01764819584786892, 0.06176767498254776, 0.0038818535394966602, 0.010940647684037685, -0.06622019410133362, -0.0008194179972633719, -0.0711008757352829, 0.018492847681045532, 0.02950780652463436, -0.057905614376068115, -0.020206393674016, -0.06428372114896774, -0.12691088020801544, -0.009690939448773861, 0.02493911422789097, 0.044201068580150604, -0.013713079504668713, -0.012758382596075535, 0.041632503271102905, 0.057587359100580215, -0.04293527454137802, -0.09260176122188568, -0.07363777607679367, -0.01568283699452877, 0.04290815815329552, 0.00885170791298151, 0.024974556639790535, -0.008880955167114735 ]
null
null
null
null
null
null
null
[ -0.05590463802218437, 0.018913403153419495, -0.05663227289915085, -0.00537215918302536, 0.030684813857078552, -0.07019780576229095, 0.03257816284894943, 0.04847763851284981, -0.05669323727488518, 0.12448194622993469, -0.0868314653635025, 0.05709359049797058, -0.0155867924913764, 0.01172082033008337, -0.058636341243982315, -0.07084650546312332, -0.009860897436738014, -0.0013981293886899948, 0.03223075345158577, -0.02753123827278614, -0.014267261140048504, -0.06835854053497314, -0.003543486585840583, -0.04625620320439339, 0.004744257312268019, 0.0572030134499073, 0.018250413239002228, -0.08411455899477005, 0.03915746882557869, -0.021731633692979813, -0.006442539859563112, -0.006610480602830648, 0.14110727608203888, 0.008289651945233345, 0.09887534379959106, 0.08026710152626038, 0.03227302059531212, -0.0013659927062690258, 0.013527918606996536, 0.03702022507786751, 0.10473843663930893, -0.03228611499071121, -0.0029074507765471935, -0.012025834061205387, 0.033317387104034424, 0.031749263405799866, -0.029855694621801376, -0.014032591134309769, -0.06962166726589203, 0.014524669386446476, -0.03584875911474228, -0.012377140112221241, -0.05132652074098587, -0.02662908099591732, -0.06453128904104233, -0.13629920780658722, 0.08448798209428787, -0.0016048891702666879, -0.03054279088973999, -0.014184749685227871, -0.0638754665851593, -0.06877721846103668, -0.027747254818677902, -0.004281269386410713, 0.10037940740585327, 0.12110625207424164, 0.10561055690050125, -0.016588788479566574, 0.028465459123253822, 0.019751891493797302, 0.012657291255891323, 0.10505203902721405, -0.07734698057174683, 0.07309865951538086, 0.002071850234642625, -0.0698501393198967, 0.04837661609053612, -0.012112310156226158, -0.01972397044301033, 0.026728378608822823, 0.010856854729354382, -0.06275558471679688, -0.003790131537243724, -0.02573947049677372, 0.013509390875697136, -0.015016782097518444, -0.019227080047130585, 0.0152633897960186, -0.0017362782964482903, -0.08715599775314331, -0.005474597215652466, -0.014952283352613449, -0.000560206186491996, 0.03485564514994621, -0.005722853820770979, 0.05570760369300842, -0.0180536936968565, 0.02747398428618908, 0.006606244016438723, 0.009206729009747505, -0.015236590057611465, 0.04370521381497383, -0.05697565898299217, -0.008595418184995651, -0.005562993232160807, 0.014761441387236118, 0.021948320791125298, -0.05713239684700966, -0.032140105962753296, -0.03408385440707207, 0.028979262337088585, 0.016395483165979385, 0.04161866009235382, 0.0209824051707983, 0.08871719986200333, -0.07785888016223907, -0.08024220168590546, 0.02438846044242382, -0.030070802196860313, 0.027766576036810875, 0.009543146006762981, 0.05446664243936539, 0.02082490548491478, 0.008916644379496574, 0.014360368251800537, 0.016146238893270493, -0.020824456587433815, 3.9562500319412296e-33, -0.000855743361171335, 0.04470086097717285, 0.0554051399230957, -0.03052000142633915, 0.03035278618335724, 0.03120441548526287, 0.028967225924134254, 0.0424235463142395, -0.00574460020288825, 0.035025808960199356, 0.008047356270253658, 0.006572024896740913, 0.020529013127088547, -0.04826521500945091, 0.10156869143247604, 0.05205155536532402, 0.03495154529809952, 0.0001690101344138384, -0.0011366588296368718, -0.04051598161458969, 0.06698740273714066, -0.03942687064409256, -0.017918238416314125, -0.043719545006752014, 0.01738474704325199, -0.04381402209401131, 0.029533226042985916, -0.08800669014453888, 0.06667053699493408, 0.021102210506796837, -0.17020215094089508, 0.009049396961927414, -0.09606829285621643, 0.07610368728637695, 0.03812390938401222, -0.013937574811279774, -0.06533665955066681, -0.03110884502530098, -0.057554442435503006, -0.031051030382514, -0.02783912606537342, -0.01066439226269722, 0.020036835223436356, -0.01614840142428875, -0.10157020390033722, -0.08528788387775421, -0.018866239115595818, 0.0035246871411800385, 0.01717744953930378, 0.036721281707286835, 0.02395455725491047, -0.028361596167087555, -0.054691947996616364, 0.03307732939720154, 0.06734037399291992, -0.04415637254714966, 0.02508164942264557, -0.012393052689731121, 0.027097182348370552, 0.18584510684013367, 0.10573748499155045, -0.014600547961890697, 0.0489867739379406, 0.034549180418252945, -0.08177188038825989, 0.06505213677883148, -0.049884237349033356, 0.01242794655263424, 0.13303107023239136, 0.06289126724004745, -0.012348528020083904, -0.002110755071043968, 0.004918096121400595, -0.040900036692619324, 0.021034935489296913, -0.006302773952484131, 0.12945188581943512, -0.03790527954697609, -0.04354318976402283, -0.012409661896526814, -0.012795972637832165, -0.020677896216511726, 0.039448466151952744, 0.029870767146348953, 0.009767004288733006, -0.1027107685804367, 0.02465873584151268, -0.0008373273303732276, -0.019995389506220818, -0.09963226318359375, -0.03305276855826378, 0.02352946624159813, 0.04459177702665329, -0.05284140631556511, -0.054722510278224945, -4.219218403795745e-33, 0.0011027046712115407, -0.016394058242440224, -0.048955805599689484, 0.1439998745918274, -0.05492982640862465, -0.07775136828422546, -0.009789290837943554, -0.04216293618083, 0.006997800897806883, 0.07743801176548004, 0.0012713026953861117, -0.04866872355341911, 0.07358204573392868, 0.0527314618229866, -0.0021074700634926558, -0.04500023275613785, -0.030954228714108467, 0.017418881878256798, 0.03976355120539665, -0.02298351563513279, 0.005559219978749752, 0.09430747479200363, 0.04080621525645256, -0.005399730987846851, -0.012628029100596905, 0.01230724435299635, -0.10787279903888702, -0.032639022916555405, -0.03719067946076393, 0.08000192046165466, -0.03448386490345001, -0.019306208938360214, -0.13516637682914734, -0.027079464867711067, 0.004778233356773853, -0.004362411797046661, 0.10090669244527817, 0.05688023939728737, -0.06453206390142441, 0.04945378378033638, 0.022318203002214432, 0.06666914373636246, -0.029054448008537292, -0.06086381524801254, 0.04093513637781143, 0.038681790232658386, -0.006159493234008551, 0.01555836945772171, 0.11016177386045456, -0.06196621432900429, 0.07847855240106583, 0.005132204387336969, 0.0754823237657547, 0.04169576242566109, 0.00044898613123223186, 0.0176094863563776, -0.07489040493965149, 0.08037806302309036, 0.04760674014687538, 0.0034559674095362425, -0.04958171024918556, -0.033371102064847946, 0.01910358853638172, 0.05983778461813927, -0.0028566347900778055, -0.03888614475727081, 0.04054191708564758, -0.0057373130694031715, -0.04148751497268677, 0.030134161934256554, 0.06035171449184418, 0.02843940444290638, -0.007380359806120396, 0.08885253965854645, -0.0490276962518692, 0.08877827227115631, 0.03065204806625843, 0.01389367412775755, 0.01033092476427555, -0.015234587714076042, 0.03323981165885925, 0.013274731114506721, -0.05959508568048477, -0.04420549049973488, -0.11479368060827255, 0.04041866585612297, 0.13036039471626282, -0.08624467998743057, -0.05299568176269531, -0.06181950122117996, -0.02284294366836548, -0.0015645349631085992, 0.025407258421182632, 0.012298076413571835, -0.01873227395117283, -4.905967543322731e-8, -0.017066728323698044, -0.00474725104868412, -0.022395174950361252, -0.015737297013401985, 0.06992850452661514, -0.05559339374303818, 0.012794388458132744, -0.03468027338385582, 0.014117001555860043, -0.04563719779253006, 0.08365597575902939, -0.011297023855149746, -0.029738187789916992, 0.06108144298195839, -0.007497578393667936, 0.05185874179005623, -0.014018849469721317, -0.05729314312338829, -0.03061835467815399, -0.013223260641098022, 0.017148712649941444, -0.0074834455735981464, 0.016719531267881393, 0.005905206315219402, -0.06523260474205017, -0.020791975781321526, 0.08610019087791443, 0.022811515256762505, 0.05559324845671654, 0.05535690486431122, 0.0007474108133465052, -0.018199142068624496, 0.016566772013902664, -0.06472197920084, 0.06928608566522598, 0.007111022714525461, -0.01764819584786892, 0.06176767498254776, 0.0038818535394966602, 0.010940647684037685, -0.06622019410133362, -0.0008194179972633719, -0.0711008757352829, 0.018492847681045532, 0.02950780652463436, -0.057905614376068115, -0.020206393674016, -0.06428372114896774, -0.12691088020801544, -0.009690939448773861, 0.02493911422789097, 0.044201068580150604, -0.013713079504668713, -0.012758382596075535, 0.041632503271102905, 0.057587359100580215, -0.04293527454137802, -0.09260176122188568, -0.07363777607679367, -0.01568283699452877, 0.04290815815329552, 0.00885170791298151, 0.024974556639790535, -0.008880955167114735 ]
1402.0147
Abhishek Halder
Abhishek Halder, Kooktae Lee, Raktim Bhattacharya
A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers
27 pages, 17 figures
null
null
null
cs.SY math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a new framework for controller robustness verification with respect to F-16 aircraft's closed-loop performance in longitudinal flight. We compare the state regulation performance of a linear quadratic regulator (LQR) and a gain-scheduled linear quadratic regulator (gsLQR), applied to nonlinear open-loop dynamics of F-16, in presence of stochastic initial condition and parametric uncertainties, as well as actuator disturbance. We show that, in presence of initial condition uncertainties alone, both LQR and gsLQR have comparable immediate and asymptotic performances, but the gsLQR exhibits better transient performance at intermediate times. This remains true in the presence of additional actuator disturbance. Also, gsLQR is shown to be more robust than LQR, against parametric uncertainties. The probabilistic framework proposed here, leverages transfer operator based density computation in exact arithmetic and introduces optimal transport theoretic performance validation and verification (V&V) for nonlinear dynamical systems. Numerical results from our proposed method, are in unison with Monte Carlo simulations.
[ { "created": "Sun, 2 Feb 2014 03:19:43 GMT", "version": "v1" } ]
2014-02-04
[ [ "Halder", "Abhishek", "" ], [ "Lee", "Kooktae", "" ], [ "Bhattacharya", "Raktim", "" ] ]
[ 0.03048553317785263, -0.008792775683104992, -0.10225566476583481, 0.06772849708795547, -0.0234597846865654, 0.0588931143283844, 0.046747706830501556, -0.011933838948607445, 0.03767886385321617, 0.035733386874198914, 0.0694899708032608, 0.07515987753868103, 0.03555665537714958, 0.03203168138861656, -0.07453603297472, 0.10861572623252869, 0.013677543960511684, 0.06762983649969101, -0.04624975100159645, -0.041462045162916183, 0.0386524498462677, 0.052548378705978394, -0.01989298313856125, 0.030016807839274406, 0.034533146768808365, -0.0458172932267189, -0.08106058835983276, -0.01629715785384178, 0.007756560109555721, -0.07344058156013489, 0.021854951977729797, -0.0715307742357254, 0.0072397938929498196, -0.11532433331012726, 0.007060217671096325, -0.0008477368392050266, -0.00565988989546895, -0.031043866649270058, 0.04594691842794418, -0.023741690441966057, -0.009061029180884361, -0.06381694972515106, 0.03264796361327171, -0.00692392885684967, -0.03461143374443054, -0.006334282923489809, 0.04057627171278, 0.008711326867341995, -0.0017922455444931984, 0.023501643911004066, 0.029645968228578568, -0.0028937787283211946, 0.06570100784301758, -0.06955967098474503, 0.0777255967259407, 0.046000558882951736, -0.004561057314276695, -0.04422852396965027, 0.006128801964223385, -0.05653512105345726, -0.06714127212762833, 0.013225831091403961, 0.01963469758629799, -0.006549276877194643, -0.11535260826349258, 0.07038157433271408, 0.0014762963401153684, 0.004720376338809729, 0.00398211507126689, 0.03414493799209595, -0.0996924564242363, 0.060486629605293274, 0.01251913420855999, 0.03308321163058281, 0.02984943613409996, -0.05552087351679802, 0.009478037245571613, 0.05187773331999779, -0.04040041193366051, 0.017506355419754982, 0.09034716337919235, -0.04225817695260048, -0.09898526966571808, -0.02602716162800789, 0.028738215565681458, 0.04289650917053223, -0.0563572496175766, 0.04887721315026283, 0.07625602185726166, 0.028803549706935883, 0.011649427935481071, 0.0457475483417511, 0.007272683549672365, -0.0224358718842268, 0.019891779869794846, -0.016358744353055954, 0.058320652693510056, -0.06911052763462067, 0.0875815898180008, 0.054124876856803894, 0.05112702026963234, 0.02105664275586605, 0.07109130173921585, 0.05125126242637634, -0.010919870808720589, -0.018800949677824974, 0.07969694584608078, 0.0032316783908754587, -0.009818880818784237, -0.050496216863393784, 0.02100704424083233, -0.009880805388092995, 0.09415744990110397, 0.07376672327518463, 0.013463147915899754, 0.024680642411112785, -0.013654559850692749, -0.026277460157871246, 0.011495617218315601, -0.07154133170843124, -0.07445395737886429, -0.038060713559389114, 0.1450989991426468, -0.001326745725236833, 0.05405636504292488, 0.005356030538678169, 0.003872880944982171, 2.0601925214152574e-33, -0.020471468567848206, 0.046589601784944534, -0.016981899738311768, 0.02139606699347496, -0.0643887147307396, -0.053024109452962875, 0.04410375654697418, -0.030620967969298363, -0.047415461391210556, 0.004475305788218975, -0.055767614394426346, -0.08474880456924438, -0.08698343485593796, -0.020862184464931488, 0.04165143519639969, 0.048182837665081024, -0.010087919421494007, -0.07840779423713684, 0.06326781958341599, -0.02058759331703186, 0.04833166301250458, -0.08934014290571213, -0.08004281669855118, -0.0066017149947583675, 0.04865565150976181, 0.004954460076987743, -0.030879147350788116, 0.04499746486544609, -0.0057981680147349834, 0.04902048036456108, -0.05222179740667343, 0.09230896085500717, -0.05347156897187233, -0.03131866455078125, 0.015577470883727074, -0.03591961786150932, 0.001291670952923596, -0.04103134945034981, -0.02782355062663555, -0.030022291466593742, 0.017403127625584602, -0.019000424072146416, -0.037254877388477325, 0.08308187127113342, -0.03683696687221527, -0.011016769334673882, 0.059315819293260574, -0.020787836983799934, -0.025018783286213875, 0.0009458510903641582, -0.10682710260152817, 0.01701136864721775, -0.01519468892365694, -0.021603865548968315, -0.011969727464020252, -0.10700502246618271, -0.02306954190135002, 0.04571235552430153, -0.01944388635456562, 0.15220235288143158, -0.03601151332259178, 0.040710557252168655, -0.017531124874949455, -0.10343792289495468, 0.03871079906821251, 0.09950502961874008, -0.022349786013364792, 0.04936688020825386, 0.017580432817339897, -0.040262654423713684, 0.05863738805055618, -0.004161912482231855, 0.08122418075799942, -0.0677839070558548, 0.09425612539052963, -0.08770281821489334, -0.004155574832111597, -0.0643235296010971, -0.025672420859336853, -0.05522546172142029, 0.06687337905168533, 0.06827749311923981, -0.008524150587618351, 0.08665360510349274, -0.04420826956629753, -0.13547903299331665, -0.029696574434638023, 0.03133502975106239, -0.029953433200716972, -0.003210567869246006, -0.1029968112707138, -0.04866793006658554, 0.01694340817630291, 0.029540065675973892, -0.03870762139558792, -3.731121190581668e-33, 0.09549582004547119, 0.0012756475480273366, 0.08318283408880234, 0.09785398840904236, -0.021840589120984077, -0.0410674549639225, -0.0364697091281414, -0.006520163733512163, 0.045896977186203, -0.1038408949971199, -0.045837026089429855, -0.014737152494490147, -0.0389147624373436, -0.009240411221981049, 0.09371829777956009, -0.07170147448778152, -0.12122870236635208, -0.010983551852405071, -0.0225998405367136, -0.010483483783900738, 0.03496038541197777, -0.06581006199121475, -0.03348693251609802, 0.01575709693133831, 0.0789225623011589, 0.006725161336362362, -0.06676172465085983, 0.052949145436286926, 0.009658482857048512, 0.05500706285238266, -0.003969012759625912, -0.006163601763546467, 0.02553648315370083, -0.005907565355300903, -0.07329878211021423, -0.007054172921925783, 0.0409889742732048, 0.03283383697271347, 0.07193709164857864, 0.04806280508637428, 0.019130853936076164, -0.0023695947602391243, 0.022048331797122955, -0.003911732230335474, 0.07446212321519852, 0.06179273501038551, 0.06335701793432236, -0.012901716865599155, 0.04999404400587082, -0.02400125376880169, -0.008309336379170418, -0.05383709445595741, -0.07546117901802063, 0.035915765911340714, 0.06100575998425484, 0.03098929300904274, 0.023791639134287834, -0.012629633769392967, -0.0018263147212564945, 0.0028045333456248045, -0.07391497492790222, -0.033139217644929886, -0.06015576049685478, 0.011112877167761326, -0.07496412098407745, -0.10142522305250168, 0.015355676412582397, 0.026574058458209038, 0.09474820643663406, 0.07658899575471878, -0.04624037817120552, -0.08089233189821243, 0.037931401282548904, 0.09225711971521378, 0.03438466787338257, -0.0735778659582138, -0.014143664389848709, -0.04106859117746353, 0.0005292718415148556, 0.05714239925146103, -0.0015696733025833964, 0.003533645998686552, 0.04330391436815262, 0.01601400598883629, -0.07907276600599289, 0.02915799431502819, 0.0014102030545473099, -0.06258413195610046, -0.0064883180893957615, -0.09215766191482544, 0.03959904983639717, 0.02134036272764206, -0.0026440739165991545, 0.06488082557916641, -0.020115386694669724, -5.135419200996694e-8, -0.021903352811932564, 0.00001286992755922256, -0.025302978232502937, -0.02863147296011448, 0.02900933101773262, 0.03274644911289215, 0.03192983195185661, -0.11137301474809647, 0.04565470665693283, -0.01992456428706646, 0.0359574593603611, -0.016966143622994423, -0.010907609947025776, -0.09554891288280487, -0.12428643554449081, 0.006631750147789717, -0.05140560492873192, 0.014108847826719284, 0.02034101076424122, -0.03361736238002777, -0.018777767196297646, 0.02049787901341915, -0.05403127148747444, -0.0044582318514585495, 0.021552935242652893, -0.05260733515024185, -0.11009277403354645, 0.03531394898891449, 0.055645234882831573, 0.013768771663308144, -0.015345036052167416, 0.0555218905210495, 0.0026663062162697315, 0.0615697056055069, 0.0055839004926383495, -0.006630022544413805, 0.04168333113193512, -0.028197407722473145, 0.077902652323246, 0.0475405678153038, 0.07023359835147858, 0.06414774805307388, -0.03896702826023102, -0.04057905822992325, 0.025313179939985275, 0.11297497898340225, -0.01906706392765045, -0.0759223997592926, -0.04803038388490677, -0.008536607027053833, 0.0462561771273613, 0.012901847250759602, -0.014358200132846832, 0.10308846831321716, -0.023650314658880234, -0.014831583015620708, -0.019711267203092575, -0.020855017006397247, -0.007302530575543642, -0.03524276986718178, 0.006600448861718178, 0.06971282511949539, -0.0351826474070549, -0.03578648716211319 ]
null
null
null
null
null
null
null
[ 0.03048553317785263, -0.008792775683104992, -0.10225566476583481, 0.06772849708795547, -0.0234597846865654, 0.0588931143283844, 0.046747706830501556, -0.011933838948607445, 0.03767886385321617, 0.035733386874198914, 0.0694899708032608, 0.07515987753868103, 0.03555665537714958, 0.03203168138861656, -0.07453603297472, 0.10861572623252869, 0.013677543960511684, 0.06762983649969101, -0.04624975100159645, -0.041462045162916183, 0.0386524498462677, 0.052548378705978394, -0.01989298313856125, 0.030016807839274406, 0.034533146768808365, -0.0458172932267189, -0.08106058835983276, -0.01629715785384178, 0.007756560109555721, -0.07344058156013489, 0.021854951977729797, -0.0715307742357254, 0.0072397938929498196, -0.11532433331012726, 0.007060217671096325, -0.0008477368392050266, -0.00565988989546895, -0.031043866649270058, 0.04594691842794418, -0.023741690441966057, -0.009061029180884361, -0.06381694972515106, 0.03264796361327171, -0.00692392885684967, -0.03461143374443054, -0.006334282923489809, 0.04057627171278, 0.008711326867341995, -0.0017922455444931984, 0.023501643911004066, 0.029645968228578568, -0.0028937787283211946, 0.06570100784301758, -0.06955967098474503, 0.0777255967259407, 0.046000558882951736, -0.004561057314276695, -0.04422852396965027, 0.006128801964223385, -0.05653512105345726, -0.06714127212762833, 0.013225831091403961, 0.01963469758629799, -0.006549276877194643, -0.11535260826349258, 0.07038157433271408, 0.0014762963401153684, 0.004720376338809729, 0.00398211507126689, 0.03414493799209595, -0.0996924564242363, 0.060486629605293274, 0.01251913420855999, 0.03308321163058281, 0.02984943613409996, -0.05552087351679802, 0.009478037245571613, 0.05187773331999779, -0.04040041193366051, 0.017506355419754982, 0.09034716337919235, -0.04225817695260048, -0.09898526966571808, -0.02602716162800789, 0.028738215565681458, 0.04289650917053223, -0.0563572496175766, 0.04887721315026283, 0.07625602185726166, 0.028803549706935883, 0.011649427935481071, 0.0457475483417511, 0.007272683549672365, -0.0224358718842268, 0.019891779869794846, -0.016358744353055954, 0.058320652693510056, -0.06911052763462067, 0.0875815898180008, 0.054124876856803894, 0.05112702026963234, 0.02105664275586605, 0.07109130173921585, 0.05125126242637634, -0.010919870808720589, -0.018800949677824974, 0.07969694584608078, 0.0032316783908754587, -0.009818880818784237, -0.050496216863393784, 0.02100704424083233, -0.009880805388092995, 0.09415744990110397, 0.07376672327518463, 0.013463147915899754, 0.024680642411112785, -0.013654559850692749, -0.026277460157871246, 0.011495617218315601, -0.07154133170843124, -0.07445395737886429, -0.038060713559389114, 0.1450989991426468, -0.001326745725236833, 0.05405636504292488, 0.005356030538678169, 0.003872880944982171, 2.0601925214152574e-33, -0.020471468567848206, 0.046589601784944534, -0.016981899738311768, 0.02139606699347496, -0.0643887147307396, -0.053024109452962875, 0.04410375654697418, -0.030620967969298363, -0.047415461391210556, 0.004475305788218975, -0.055767614394426346, -0.08474880456924438, -0.08698343485593796, -0.020862184464931488, 0.04165143519639969, 0.048182837665081024, -0.010087919421494007, -0.07840779423713684, 0.06326781958341599, -0.02058759331703186, 0.04833166301250458, -0.08934014290571213, -0.08004281669855118, -0.0066017149947583675, 0.04865565150976181, 0.004954460076987743, -0.030879147350788116, 0.04499746486544609, -0.0057981680147349834, 0.04902048036456108, -0.05222179740667343, 0.09230896085500717, -0.05347156897187233, -0.03131866455078125, 0.015577470883727074, -0.03591961786150932, 0.001291670952923596, -0.04103134945034981, -0.02782355062663555, -0.030022291466593742, 0.017403127625584602, -0.019000424072146416, -0.037254877388477325, 0.08308187127113342, -0.03683696687221527, -0.011016769334673882, 0.059315819293260574, -0.020787836983799934, -0.025018783286213875, 0.0009458510903641582, -0.10682710260152817, 0.01701136864721775, -0.01519468892365694, -0.021603865548968315, -0.011969727464020252, -0.10700502246618271, -0.02306954190135002, 0.04571235552430153, -0.01944388635456562, 0.15220235288143158, -0.03601151332259178, 0.040710557252168655, -0.017531124874949455, -0.10343792289495468, 0.03871079906821251, 0.09950502961874008, -0.022349786013364792, 0.04936688020825386, 0.017580432817339897, -0.040262654423713684, 0.05863738805055618, -0.004161912482231855, 0.08122418075799942, -0.0677839070558548, 0.09425612539052963, -0.08770281821489334, -0.004155574832111597, -0.0643235296010971, -0.025672420859336853, -0.05522546172142029, 0.06687337905168533, 0.06827749311923981, -0.008524150587618351, 0.08665360510349274, -0.04420826956629753, -0.13547903299331665, -0.029696574434638023, 0.03133502975106239, -0.029953433200716972, -0.003210567869246006, -0.1029968112707138, -0.04866793006658554, 0.01694340817630291, 0.029540065675973892, -0.03870762139558792, -3.731121190581668e-33, 0.09549582004547119, 0.0012756475480273366, 0.08318283408880234, 0.09785398840904236, -0.021840589120984077, -0.0410674549639225, -0.0364697091281414, -0.006520163733512163, 0.045896977186203, -0.1038408949971199, -0.045837026089429855, -0.014737152494490147, -0.0389147624373436, -0.009240411221981049, 0.09371829777956009, -0.07170147448778152, -0.12122870236635208, -0.010983551852405071, -0.0225998405367136, -0.010483483783900738, 0.03496038541197777, -0.06581006199121475, -0.03348693251609802, 0.01575709693133831, 0.0789225623011589, 0.006725161336362362, -0.06676172465085983, 0.052949145436286926, 0.009658482857048512, 0.05500706285238266, -0.003969012759625912, -0.006163601763546467, 0.02553648315370083, -0.005907565355300903, -0.07329878211021423, -0.007054172921925783, 0.0409889742732048, 0.03283383697271347, 0.07193709164857864, 0.04806280508637428, 0.019130853936076164, -0.0023695947602391243, 0.022048331797122955, -0.003911732230335474, 0.07446212321519852, 0.06179273501038551, 0.06335701793432236, -0.012901716865599155, 0.04999404400587082, -0.02400125376880169, -0.008309336379170418, -0.05383709445595741, -0.07546117901802063, 0.035915765911340714, 0.06100575998425484, 0.03098929300904274, 0.023791639134287834, -0.012629633769392967, -0.0018263147212564945, 0.0028045333456248045, -0.07391497492790222, -0.033139217644929886, -0.06015576049685478, 0.011112877167761326, -0.07496412098407745, -0.10142522305250168, 0.015355676412582397, 0.026574058458209038, 0.09474820643663406, 0.07658899575471878, -0.04624037817120552, -0.08089233189821243, 0.037931401282548904, 0.09225711971521378, 0.03438466787338257, -0.0735778659582138, -0.014143664389848709, -0.04106859117746353, 0.0005292718415148556, 0.05714239925146103, -0.0015696733025833964, 0.003533645998686552, 0.04330391436815262, 0.01601400598883629, -0.07907276600599289, 0.02915799431502819, 0.0014102030545473099, -0.06258413195610046, -0.0064883180893957615, -0.09215766191482544, 0.03959904983639717, 0.02134036272764206, -0.0026440739165991545, 0.06488082557916641, -0.020115386694669724, -5.135419200996694e-8, -0.021903352811932564, 0.00001286992755922256, -0.025302978232502937, -0.02863147296011448, 0.02900933101773262, 0.03274644911289215, 0.03192983195185661, -0.11137301474809647, 0.04565470665693283, -0.01992456428706646, 0.0359574593603611, -0.016966143622994423, -0.010907609947025776, -0.09554891288280487, -0.12428643554449081, 0.006631750147789717, -0.05140560492873192, 0.014108847826719284, 0.02034101076424122, -0.03361736238002777, -0.018777767196297646, 0.02049787901341915, -0.05403127148747444, -0.0044582318514585495, 0.021552935242652893, -0.05260733515024185, -0.11009277403354645, 0.03531394898891449, 0.055645234882831573, 0.013768771663308144, -0.015345036052167416, 0.0555218905210495, 0.0026663062162697315, 0.0615697056055069, 0.0055839004926383495, -0.006630022544413805, 0.04168333113193512, -0.028197407722473145, 0.077902652323246, 0.0475405678153038, 0.07023359835147858, 0.06414774805307388, -0.03896702826023102, -0.04057905822992325, 0.025313179939985275, 0.11297497898340225, -0.01906706392765045, -0.0759223997592926, -0.04803038388490677, -0.008536607027053833, 0.0462561771273613, 0.012901847250759602, -0.014358200132846832, 0.10308846831321716, -0.023650314658880234, -0.014831583015620708, -0.019711267203092575, -0.020855017006397247, -0.007302530575543642, -0.03524276986718178, 0.006600448861718178, 0.06971282511949539, -0.0351826474070549, -0.03578648716211319 ]
1402.0153
Natasa Golo
Sorin Solomon, Natasa Golo
How do life, economy and other complex systems escape the heat death?
42 pages, 18 figures
null
10.3390/e16031687
null
physics.soc-ph physics.hist-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The primordial confrontation underlying the existence of our universe can be conceived as the battle between entropy and complexity. The law of ever-increasing entropy (Boltzmann H-theorem) evokes an irreversible, one-directional evolution (or rather involution) going uniformly and monotonically from birth to death. Since the 19th century, this concept is one of the cornerstones and in the same time puzzles of statistical mechanics. On the other hand, there is the empirical experience where one witnesses the emergence, growth and diversification of new self-organized objects with ever-increasing complexity. When modeling them in terms of simple discrete elements one finds that the emergence of collective complex adaptive objects is a rather generic phenomenon governed by a new type of laws. These 'emergence' laws, not connected directly with the fundamental laws of the physical reality, nor acting 'in addition' to them but acting through them were called by Phil Anderson 'More is Different', 'das Maass' by Hegel etc. Even though the 'emergence laws' act through the intermediary of the fundamental laws that govern the individual elementary agents, it turns out that different systems apparently governed by very different fundamental laws: gravity, chemistry, biology, economics, social psychology, end up often with similar emergence laws and outcomes. In particular the emergence of adaptive collective objects endows the system with a granular structure which in turn causes specific macroscopic cycles of intermittent fluctuations.
[ { "created": "Sun, 2 Feb 2014 07:28:33 GMT", "version": "v1" } ]
2015-06-18
[ [ "Solomon", "Sorin", "" ], [ "Golo", "Natasa", "" ] ]
[ -0.06805426627397537, -0.07167290896177292, 0.012639111839234829, 0.12232154607772827, 0.057253289967775345, -0.04131899029016495, -0.0833306685090065, -0.0073126740753650665, 0.16077913343906403, 0.04787303879857063, -0.0030105148907750845, -0.03236660361289978, -0.008956034667789936, -0.005106443073600531, 0.010033994913101196, -0.08178716152906418, -0.04153202474117279, 0.0035301996394991875, -0.09871219843626022, 0.05415727570652962, 0.0025136377662420273, -0.0231835525482893, -0.058784231543540955, 0.012333197519183159, -0.07631249725818634, -0.0025390353985130787, -0.023942628875374794, 0.01137228962033987, 0.01938527077436447, -0.02840450219810009, 0.056009937077760696, 0.04234635829925537, 0.10066206008195877, 0.05416390672326088, 0.011480703949928284, 0.028056083247065544, 0.009116300381720066, 0.00880175270140171, -0.05663099139928818, 0.0615355521440506, -0.008125422522425652, -0.0009361846605315804, -0.08989930897951126, 0.01506846584379673, 0.03405733406543732, 0.009509923867881298, -0.02820403501391411, -0.06610500067472458, -0.06187555193901062, -0.029288072139024734, -0.11822673678398132, 0.017159922048449516, -0.0013779717264696956, -0.005693507846444845, 0.027400687336921692, 0.03853273764252663, -0.001914199092425406, 0.007333472371101379, -0.02854149043560028, -0.18263152241706848, 0.04163399338722229, -0.0388798788189888, -0.008510617539286613, -0.010455114766955376, 0.11352245509624481, 0.02719242498278618, 0.04968931898474693, 0.0778263732790947, 0.043756838887929916, 0.07194468379020691, 0.03357735276222229, 0.05626797676086426, -0.04547321796417236, 0.029187949374318123, 0.1259189248085022, -0.02067813090980053, -0.0051178233698010445, 0.04730796441435814, 0.010236113332211971, 0.005021310411393642, -0.038823336362838745, 0.008729144930839539, -0.0214555487036705, -0.028895189985632896, -0.024290336295962334, -0.01822476089000702, 0.010317137464880943, 0.013173703104257584, 0.004669209476560354, -0.013231764547526836, -0.09080973267555237, 0.023074191063642502, -0.060615174472332, 0.014331137761473656, 0.10069405287504196, 0.05388135835528374, 0.018969368189573288, -0.032189976423978806, 0.11017083376646042, 0.004381418228149414, 0.025469861924648285, -0.04365375638008118, -0.008867543190717697, 0.10330081731081009, 0.10184841603040695, -0.043270621448755264, -0.04354463517665863, -0.04404614865779877, 0.05930083617568016, 0.05770425871014595, 0.0627320259809494, -0.03530944883823395, -0.0006740574608556926, 0.01822325587272644, -0.04550625756382942, -0.07252081483602524, -0.021046383306384087, 0.03830519691109657, -0.0600692443549633, 0.03706461563706398, 0.03684542328119278, 0.007105046883225441, -0.06257586926221848, -0.04677682742476463, 0.005139457527548075, 0.07247525453567505, -0.02535238303244114, 4.030209197759091e-33, -0.03953880816698074, -0.09167923778295517, 0.009945722296833992, 0.05804846063256264, 0.06701553612947464, 0.004801723640412092, -0.05148868262767792, -0.03765474259853363, 0.08550284057855606, 0.0484035350382328, -0.05453768000006676, 0.14491255581378937, 0.06231828033924103, 0.022754983976483345, 0.008257356472313404, -0.016703035682439804, -0.13112324476242065, -0.007157215848565102, 0.08838538825511932, -0.06539302319288254, -0.012943524867296219, 0.03836699202656746, -0.025565551593899727, -0.13143429160118103, -0.0353178009390831, 0.04419289529323578, 0.031336791813373566, -0.039893824607133865, -0.03805965185165405, -0.003661255817860365, -0.013484320603311062, 0.057715658098459244, -0.03619826212525368, 0.004810055252164602, -0.00260098185390234, 0.0008792108856141567, 0.004451829940080643, -0.028190897777676582, -0.007216301746666431, -0.1077653095126152, -0.035710323601961136, 0.029756447300314903, -0.03333515673875809, -0.07866094261407852, 0.005342467688024044, 0.024675434455275536, 0.08131900429725647, -0.004904874600470066, -0.12687696516513824, -0.051832325756549835, -0.01647252030670643, -0.03347315639257431, 0.0509638749063015, -0.06275863200426102, 0.01774686574935913, 0.0175684355199337, -0.03438591584563255, 0.06425798684358597, 0.006111933384090662, 0.01862112618982792, -0.032805219292640686, 0.04494582861661911, 0.07265914976596832, 0.10828259587287903, 0.0653538927435875, 0.005985492840409279, -0.05937274172902107, 0.010753165930509567, 0.07991776615381241, 0.011745923198759556, 0.01482473686337471, 0.07431326806545258, -0.10861440747976303, -0.03268042579293251, -0.006184462923556566, -0.03395656496286392, 0.04717811569571495, -0.043067436665296555, -0.09372368454933167, 0.029855431988835335, -0.09766077250242233, -0.03244262561202049, -0.016440806910395622, -0.03414951264858246, -0.08410592377185822, 0.025658316910266876, 0.010373313911259174, 0.016995588317513466, -0.04297485575079918, -0.010183137841522694, 0.012996016070246696, -0.03598099946975708, 0.12217118591070175, -0.04234496131539345, -0.017945224419236183, -6.41961562618243e-33, -0.04872528091073036, -0.10404001176357269, -0.03856317698955536, 0.023983903229236603, 0.029635293409228325, 0.022320061922073364, -0.09253424406051636, -0.03736255317926407, -0.02927013486623764, -0.12233836948871613, 0.0300381351262331, 0.045476943254470825, 0.05689626559615135, -0.05437035113573074, 0.03795250132679939, 0.036237988620996475, -0.023929882794618607, 0.027948305010795593, 0.03353408724069595, -0.07011672109365463, -0.0009462656453251839, -0.013811693526804447, -0.09096858650445938, -0.0240769162774086, 0.0020298680756241083, 0.018781911581754684, -0.03355376422405243, 0.009604704566299915, -0.011532114818692207, 0.05334175005555153, -0.04101676121354103, -0.034506283700466156, -0.047925446182489395, 0.027760278433561325, 0.017624475061893463, 0.05335811525583267, 0.02599400095641613, 0.04200354963541031, 0.01776411570608616, -0.07855192571878433, -0.12062659859657288, -0.010390070267021656, 0.01401133369654417, -0.025254428386688232, 0.07707031816244125, -0.03558617830276489, 0.006625016685575247, 0.007108570542186499, -0.016051283106207848, 0.049068477004766464, 0.05468962341547012, -0.012685364112257957, -0.007762485183775425, -0.03788015618920326, -0.066203773021698, 0.037939153611660004, 0.01941453106701374, -0.020668383687734604, 0.02998265251517296, 0.06035029888153076, -0.028806129470467567, -0.05319467931985855, 0.039518460631370544, 0.09919192641973495, -0.07146383076906204, -0.005948200821876526, -0.0385359451174736, -0.03435070067644119, 0.00399128207936883, -0.03961600735783577, 0.03917726129293442, 0.016509616747498512, -0.0731099396944046, -0.007777937687933445, 0.05406951904296875, 0.03576512262225151, 0.0741952508687973, 0.031769171357154846, -0.0028633156325668097, -0.050599418580532074, -0.06529266387224197, 0.048026833683252335, 0.008353271521627903, -0.038729049265384674, -0.004095860291272402, -0.06205443665385246, -0.005937327165156603, -0.0005481242551468313, 0.03869859501719475, 0.008075393736362457, -0.025116287171840668, -0.07666444033384323, -0.02358069084584713, -0.012156808748841286, -0.10039166361093521, -5.988681550661568e-8, 0.07480799406766891, 0.03108745440840721, 0.06607773900032043, 0.03942950814962387, 0.061293769627809525, 0.01177582424134016, 0.027847688645124435, 0.04616592079401016, -0.041568659245967865, 0.037205640226602554, 0.0597582645714283, 0.11949094384908676, 0.04671526327729225, 0.060875359922647476, 0.05450242757797241, 0.02803381346166134, -0.04738658294081688, -0.06445968896150589, -0.03299128636717796, -0.026108432561159134, 0.035167623311281204, -0.00008257046283688396, 0.0012535486603155732, -0.02281041070818901, 0.022695057094097137, 0.011954785324633121, -0.02872767485678196, -0.0920620933175087, -0.04741178825497627, -0.031224079430103302, 0.0056707472540438175, 0.026357686147093773, -0.00654472503811121, 0.056230414658784866, -0.010166619904339314, 0.02475084736943245, 0.019645480439066887, 0.025601765140891075, -0.0433788038790226, -0.12401676923036575, 0.013865082524716854, 0.01102820597589016, -0.024322353303432465, -0.006637451704591513, 0.02653397060930729, -0.005623626057058573, -0.048007480800151825, 0.027615830302238464, 0.02819952741265297, 0.041630618274211884, -0.012406911700963974, 0.04136054962873459, -0.044768281280994415, -0.06933015584945679, 0.04657677561044693, 0.0202841367572546, -0.013026978820562363, 0.007694834377616644, 0.055907804518938065, 0.07083270698785782, 0.0828922837972641, -0.0022311899811029434, 0.003588196123018861, -0.018488984555006027 ]
null
null
null
null
null
null
null
[ -0.06805426627397537, -0.07167290896177292, 0.012639111839234829, 0.12232154607772827, 0.057253289967775345, -0.04131899029016495, -0.0833306685090065, -0.0073126740753650665, 0.16077913343906403, 0.04787303879857063, -0.0030105148907750845, -0.03236660361289978, -0.008956034667789936, -0.005106443073600531, 0.010033994913101196, -0.08178716152906418, -0.04153202474117279, 0.0035301996394991875, -0.09871219843626022, 0.05415727570652962, 0.0025136377662420273, -0.0231835525482893, -0.058784231543540955, 0.012333197519183159, -0.07631249725818634, -0.0025390353985130787, -0.023942628875374794, 0.01137228962033987, 0.01938527077436447, -0.02840450219810009, 0.056009937077760696, 0.04234635829925537, 0.10066206008195877, 0.05416390672326088, 0.011480703949928284, 0.028056083247065544, 0.009116300381720066, 0.00880175270140171, -0.05663099139928818, 0.0615355521440506, -0.008125422522425652, -0.0009361846605315804, -0.08989930897951126, 0.01506846584379673, 0.03405733406543732, 0.009509923867881298, -0.02820403501391411, -0.06610500067472458, -0.06187555193901062, -0.029288072139024734, -0.11822673678398132, 0.017159922048449516, -0.0013779717264696956, -0.005693507846444845, 0.027400687336921692, 0.03853273764252663, -0.001914199092425406, 0.007333472371101379, -0.02854149043560028, -0.18263152241706848, 0.04163399338722229, -0.0388798788189888, -0.008510617539286613, -0.010455114766955376, 0.11352245509624481, 0.02719242498278618, 0.04968931898474693, 0.0778263732790947, 0.043756838887929916, 0.07194468379020691, 0.03357735276222229, 0.05626797676086426, -0.04547321796417236, 0.029187949374318123, 0.1259189248085022, -0.02067813090980053, -0.0051178233698010445, 0.04730796441435814, 0.010236113332211971, 0.005021310411393642, -0.038823336362838745, 0.008729144930839539, -0.0214555487036705, -0.028895189985632896, -0.024290336295962334, -0.01822476089000702, 0.010317137464880943, 0.013173703104257584, 0.004669209476560354, -0.013231764547526836, -0.09080973267555237, 0.023074191063642502, -0.060615174472332, 0.014331137761473656, 0.10069405287504196, 0.05388135835528374, 0.018969368189573288, -0.032189976423978806, 0.11017083376646042, 0.004381418228149414, 0.025469861924648285, -0.04365375638008118, -0.008867543190717697, 0.10330081731081009, 0.10184841603040695, -0.043270621448755264, -0.04354463517665863, -0.04404614865779877, 0.05930083617568016, 0.05770425871014595, 0.0627320259809494, -0.03530944883823395, -0.0006740574608556926, 0.01822325587272644, -0.04550625756382942, -0.07252081483602524, -0.021046383306384087, 0.03830519691109657, -0.0600692443549633, 0.03706461563706398, 0.03684542328119278, 0.007105046883225441, -0.06257586926221848, -0.04677682742476463, 0.005139457527548075, 0.07247525453567505, -0.02535238303244114, 4.030209197759091e-33, -0.03953880816698074, -0.09167923778295517, 0.009945722296833992, 0.05804846063256264, 0.06701553612947464, 0.004801723640412092, -0.05148868262767792, -0.03765474259853363, 0.08550284057855606, 0.0484035350382328, -0.05453768000006676, 0.14491255581378937, 0.06231828033924103, 0.022754983976483345, 0.008257356472313404, -0.016703035682439804, -0.13112324476242065, -0.007157215848565102, 0.08838538825511932, -0.06539302319288254, -0.012943524867296219, 0.03836699202656746, -0.025565551593899727, -0.13143429160118103, -0.0353178009390831, 0.04419289529323578, 0.031336791813373566, -0.039893824607133865, -0.03805965185165405, -0.003661255817860365, -0.013484320603311062, 0.057715658098459244, -0.03619826212525368, 0.004810055252164602, -0.00260098185390234, 0.0008792108856141567, 0.004451829940080643, -0.028190897777676582, -0.007216301746666431, -0.1077653095126152, -0.035710323601961136, 0.029756447300314903, -0.03333515673875809, -0.07866094261407852, 0.005342467688024044, 0.024675434455275536, 0.08131900429725647, -0.004904874600470066, -0.12687696516513824, -0.051832325756549835, -0.01647252030670643, -0.03347315639257431, 0.0509638749063015, -0.06275863200426102, 0.01774686574935913, 0.0175684355199337, -0.03438591584563255, 0.06425798684358597, 0.006111933384090662, 0.01862112618982792, -0.032805219292640686, 0.04494582861661911, 0.07265914976596832, 0.10828259587287903, 0.0653538927435875, 0.005985492840409279, -0.05937274172902107, 0.010753165930509567, 0.07991776615381241, 0.011745923198759556, 0.01482473686337471, 0.07431326806545258, -0.10861440747976303, -0.03268042579293251, -0.006184462923556566, -0.03395656496286392, 0.04717811569571495, -0.043067436665296555, -0.09372368454933167, 0.029855431988835335, -0.09766077250242233, -0.03244262561202049, -0.016440806910395622, -0.03414951264858246, -0.08410592377185822, 0.025658316910266876, 0.010373313911259174, 0.016995588317513466, -0.04297485575079918, -0.010183137841522694, 0.012996016070246696, -0.03598099946975708, 0.12217118591070175, -0.04234496131539345, -0.017945224419236183, -6.41961562618243e-33, -0.04872528091073036, -0.10404001176357269, -0.03856317698955536, 0.023983903229236603, 0.029635293409228325, 0.022320061922073364, -0.09253424406051636, -0.03736255317926407, -0.02927013486623764, -0.12233836948871613, 0.0300381351262331, 0.045476943254470825, 0.05689626559615135, -0.05437035113573074, 0.03795250132679939, 0.036237988620996475, -0.023929882794618607, 0.027948305010795593, 0.03353408724069595, -0.07011672109365463, -0.0009462656453251839, -0.013811693526804447, -0.09096858650445938, -0.0240769162774086, 0.0020298680756241083, 0.018781911581754684, -0.03355376422405243, 0.009604704566299915, -0.011532114818692207, 0.05334175005555153, -0.04101676121354103, -0.034506283700466156, -0.047925446182489395, 0.027760278433561325, 0.017624475061893463, 0.05335811525583267, 0.02599400095641613, 0.04200354963541031, 0.01776411570608616, -0.07855192571878433, -0.12062659859657288, -0.010390070267021656, 0.01401133369654417, -0.025254428386688232, 0.07707031816244125, -0.03558617830276489, 0.006625016685575247, 0.007108570542186499, -0.016051283106207848, 0.049068477004766464, 0.05468962341547012, -0.012685364112257957, -0.007762485183775425, -0.03788015618920326, -0.066203773021698, 0.037939153611660004, 0.01941453106701374, -0.020668383687734604, 0.02998265251517296, 0.06035029888153076, -0.028806129470467567, -0.05319467931985855, 0.039518460631370544, 0.09919192641973495, -0.07146383076906204, -0.005948200821876526, -0.0385359451174736, -0.03435070067644119, 0.00399128207936883, -0.03961600735783577, 0.03917726129293442, 0.016509616747498512, -0.0731099396944046, -0.007777937687933445, 0.05406951904296875, 0.03576512262225151, 0.0741952508687973, 0.031769171357154846, -0.0028633156325668097, -0.050599418580532074, -0.06529266387224197, 0.048026833683252335, 0.008353271521627903, -0.038729049265384674, -0.004095860291272402, -0.06205443665385246, -0.005937327165156603, -0.0005481242551468313, 0.03869859501719475, 0.008075393736362457, -0.025116287171840668, -0.07666444033384323, -0.02358069084584713, -0.012156808748841286, -0.10039166361093521, -5.988681550661568e-8, 0.07480799406766891, 0.03108745440840721, 0.06607773900032043, 0.03942950814962387, 0.061293769627809525, 0.01177582424134016, 0.027847688645124435, 0.04616592079401016, -0.041568659245967865, 0.037205640226602554, 0.0597582645714283, 0.11949094384908676, 0.04671526327729225, 0.060875359922647476, 0.05450242757797241, 0.02803381346166134, -0.04738658294081688, -0.06445968896150589, -0.03299128636717796, -0.026108432561159134, 0.035167623311281204, -0.00008257046283688396, 0.0012535486603155732, -0.02281041070818901, 0.022695057094097137, 0.011954785324633121, -0.02872767485678196, -0.0920620933175087, -0.04741178825497627, -0.031224079430103302, 0.0056707472540438175, 0.026357686147093773, -0.00654472503811121, 0.056230414658784866, -0.010166619904339314, 0.02475084736943245, 0.019645480439066887, 0.025601765140891075, -0.0433788038790226, -0.12401676923036575, 0.013865082524716854, 0.01102820597589016, -0.024322353303432465, -0.006637451704591513, 0.02653397060930729, -0.005623626057058573, -0.048007480800151825, 0.027615830302238464, 0.02819952741265297, 0.041630618274211884, -0.012406911700963974, 0.04136054962873459, -0.044768281280994415, -0.06933015584945679, 0.04657677561044693, 0.0202841367572546, -0.013026978820562363, 0.007694834377616644, 0.055907804518938065, 0.07083270698785782, 0.0828922837972641, -0.0022311899811029434, 0.003588196123018861, -0.018488984555006027 ]
1402.0157
Hamza Salami
Hamza Onoruoiza Salami, Moataz A. Ahmed
UML Artifacts Reuse: State of the Art
Conference Proceedings
International Journal of Soft Computing and Software Engineering [JSCSE], Vol. 3, No. 3, pp. 115-122, 2013
10.7321/jscse.v3.n3.19
null
cs.SE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The benefits that can be derived from reusing software include accelerated development, reduced cost, reduced risk and effective use of specialists. Reuse of software artifacts during the initial stages of software development increases reuse benefits, because it allows subsequent reuse of later stage artifacts derived from earlier artifacts. UML is the de facto modeling language used by software developers during the initial stages of software development such as requirements engineering, architectural and detailed design. This survey analyzes previous works on UML artifacts reuse. The analysis considers four perspectives: retrieval method, artifact support, tool support and experiments performed. As an outcome of the analysis, some suggestions for future work on UML artifacts reuse are also provided
[ { "created": "Sun, 2 Feb 2014 08:40:45 GMT", "version": "v1" } ]
2014-02-04
[ [ "Salami", "Hamza Onoruoiza", "" ], [ "Ahmed", "Moataz A.", "" ] ]
[ -0.06585391610860825, 0.00007106332486728206, 0.025783242657780647, -0.009756174869835377, 0.042740289121866226, -0.04001421481370926, -0.019723964855074883, -0.011424563825130463, 0.037640444934368134, -0.09053046256303787, -0.05544867739081383, 0.0035621675197035074, 0.04575420543551445, 0.029248880222439766, 0.03753715381026268, -0.008548338897526264, 0.03304872289299965, -0.03895287588238716, 0.000178086367668584, -0.046069007366895676, 0.06049259006977081, -0.01570848934352398, -0.054335035383701324, -0.011332842521369457, 0.034596700221300125, -0.00028774671955034137, -0.01024758629500866, -0.010342578403651714, 0.05231672525405884, -0.04915627837181091, 0.02905784733593464, 0.11016814410686493, -0.03300749137997627, 0.023126428946852684, -0.021953698247671127, 0.05818836763501167, -0.007780549582093954, -0.021073313429951668, -0.07791554182767868, -0.022299710661172867, -0.16164065897464752, 0.010923938825726509, -0.004715310409665108, 0.010705961845815182, 0.01943754032254219, -0.13963238894939423, -0.03611220419406891, -0.04648846015334129, 0.018099499866366386, 0.06365317106246948, -0.02000845968723297, -0.056589964777231216, -0.01333525124937296, -0.015839582309126854, 0.08735860139131546, 0.024739626795053482, 0.05820801481604576, -0.03760595619678497, -0.09031552076339722, -0.04061611741781235, -0.060316264629364014, 0.02647373639047146, -0.07469701021909714, 0.02630653977394104, -0.07756714522838593, 0.006518491543829441, -0.05957888811826706, -0.0363253615796566, 0.05630971118807793, 0.004698688630014658, -0.10399419069290161, -0.03974217176437378, 0.03236516937613487, 0.03302020952105522, 0.02828524261713028, 0.012580384500324726, 0.011267712339758873, 0.06444145739078522, -0.019347546622157097, -0.11458437144756317, 0.01739439368247986, 0.10191698372364044, -0.01478967722505331, 0.011426250450313091, -0.036326318979263306, 0.011626830324530602, 0.041565537452697754, -0.018332330510020256, 0.06421077251434326, 0.0178406722843647, 0.04928726702928543, -0.028794534504413605, 0.06810863316059113, -0.03600161150097847, 0.07023534923791885, -0.0007284284220077097, 0.049084413796663284, -0.024543270468711853, 0.015369062311947346, -0.01493872981518507, -0.008598324842751026, -0.0037101074121892452, 0.04259917885065079, -0.03160787746310234, -0.06691830605268478, 0.00395096093416214, 0.04936203360557556, 0.013344702310860157, 0.01964517869055271, -0.024378931149840355, -0.03240272402763367, 0.006736659910529852, -0.04907839745283127, -0.053821153938770294, 0.04257378727197647, -0.030519455671310425, -0.052000924944877625, -0.05091307684779167, -0.06993403285741806, 0.012707842513918877, -0.02027631737291813, 0.05048811063170433, 0.06800077110528946, -0.06691425293684006, 0.037127308547496796, -0.02296564355492592, -0.03402175381779671, 2.9275253343687205e-33, 0.00605233246460557, -0.0059349979273974895, -0.13276588916778564, 0.026691798120737076, 0.057712122797966, -0.09061284363269806, 0.05526423454284668, 0.07175581902265549, -0.037847839295864105, -0.09891600906848907, 0.027490446344017982, 0.10148903727531433, -0.15147845447063446, -0.02966339886188507, 0.05501702427864075, 0.05010134354233742, -0.04791654646396637, 0.09986475110054016, 0.005559587851166725, 0.05352551490068436, -0.056045446544885635, -0.03757425770163536, 0.06643634289503098, 0.029273398220539093, 0.03485596552491188, 0.1099914163351059, 0.06257396191358566, -0.023805592209100723, -0.03238314390182495, 0.02314467914402485, 0.06029706448316574, -0.009042022749781609, 0.07384723424911499, -0.011608115397393703, -0.026876969262957573, 0.1062823161482811, 0.017897147685289383, 0.04198017343878746, 0.06263589859008789, 0.06861384958028793, 0.020749187096953392, -0.0006881627487018704, -0.002289954572916031, 0.0009178398759104311, 0.04110744595527649, -0.10864678770303726, -0.02082127518951893, 0.0035722602624446154, 0.04879745841026306, -0.03618484362959862, 0.07173293083906174, 0.0006360802799463272, 0.07531186938285828, 0.045344676822423935, -0.05532599985599518, -0.03371720388531685, -0.036911286413669586, -0.010083569213747978, 0.019854148849844933, 0.02253641188144684, -0.03171509876847267, 0.024559946730732918, -0.0016055047744885087, 0.09220492094755173, 0.08525937795639038, 0.0009137276210822165, 0.041480034589767456, 0.03869912773370743, 0.012989685870707035, 0.04575834795832634, -0.024987606331706047, -0.04450254142284393, -0.059698108583688736, -0.0021193886641412973, -0.020364591851830482, -0.09183561056852341, -0.00756500568240881, 0.018097693100571632, 0.0504421591758728, 0.01703735813498497, -0.08295822143554688, -0.024975784122943878, -0.003887142287567258, -0.06566862016916275, 0.016413146629929543, 0.05703355371952057, 0.06233576685190201, -0.0901324525475502, -0.02133943885564804, 0.0258031003177166, 0.040746044367551804, -0.028221281245350838, -0.03001531772315502, 0.01760999485850334, 0.07906245440244675, -3.795765665695217e-33, 0.012247259728610516, -0.0624738484621048, 0.024513697251677513, 0.003760860301554203, -0.03382961452007294, -0.04113701730966568, -0.08819954097270966, 0.028813328593969345, -0.12126121670007706, -0.016854198649525642, -0.05083019658923149, -0.05812330171465874, -0.01928716152906418, 0.0038416290190070868, 0.0022855312563478947, -0.05280935764312744, -0.012985588051378727, -0.0632772296667099, -0.0007695892127230763, 0.07569237053394318, -0.00870837178081274, -0.006369450129568577, 0.032524216920137405, -0.051307715475559235, 0.01079617254436016, -0.015461252070963383, -0.09028168767690659, -0.09051985293626785, 0.041712868958711624, -0.08745141327381134, 0.0615449920296669, 0.029964352026581764, 0.03635157644748688, -0.0590178556740284, 0.02654581144452095, -0.06662404537200928, 0.020012669265270233, -0.033584196120500565, -0.00803725328296423, -0.020403986796736717, 0.04346441477537155, 0.010990944691002369, -0.03383096680045128, -0.04455261677503586, 0.008015654049813747, 0.04229852184653282, -0.044539548456668854, 0.03658749908208847, 0.0643916055560112, -0.11278260499238968, 0.04871698096394539, -0.06359652429819107, 0.007767955772578716, -0.11923504620790482, -0.014495748095214367, 0.013285966590046883, 0.017280688509345055, -0.016681887209415436, 0.023464564234018326, 0.002762269228696823, 0.006764134392142296, -0.015733646228909492, 0.05712301656603813, -0.030110344290733337, 0.057250045239925385, 0.004800368566066027, 0.015456964261829853, 0.0350356362760067, -0.21036885678768158, 0.03931406885385513, -0.00834764912724495, -0.029167598113417625, -0.08385283499956131, 0.0008697525481693447, 0.006163456942886114, 0.0087459497153759, -0.0024907111655920744, 0.004489001352339983, -0.038815464824438095, -0.029446950182318687, -0.06769657135009766, -0.013708068989217281, -0.03750116005539894, 0.021411484107375145, -0.039550598710775375, 0.05778949335217476, -0.004174978006631136, 0.047256696969270706, -0.011834286153316498, 0.05887122079730034, -0.07963008433580399, 0.07019566744565964, -0.019432639703154564, 0.09824515134096146, 0.020206963643431664, -3.937752168781117e-8, -0.018358131870627403, 0.08505162596702576, -0.005132874473929405, 0.0221005417406559, 0.0005106185562908649, 0.07070349156856537, -0.07983553409576416, 0.12742111086845398, -0.01554113533347845, -0.030782995745539665, -0.02603199891746044, -0.03206445649266243, -0.046913906931877136, 0.06187579408288002, 0.002488111611455679, 0.07265260070562363, 0.01534820906817913, 0.019498463720083237, 0.007976483553647995, -0.04720669984817505, 0.02467336133122444, 0.03437400236725807, 0.10244843363761902, 0.03833776339888573, -0.0024866065941751003, 0.0068620298989117146, 0.02407081052660942, 0.12314626574516296, 0.03611147031188011, -0.061382271349430084, 0.01952025666832924, 0.02259119227528572, 0.024534102529287338, 0.02877483144402504, 0.1130845844745636, -0.06354744732379913, 0.07210662215948105, 0.01571793295443058, 0.0642089694738388, 0.005407753400504589, 0.04173717275261879, 0.039491042494773865, 0.048455771058797836, 0.04613398388028145, 0.015233355574309826, -0.04669293388724327, -0.020452389493584633, -0.04633520171046257, -0.018870290368795395, -0.040942296385765076, -0.09052060544490814, -0.03805989772081375, -0.07949341833591461, 0.026023976504802704, -0.012433405965566635, 0.06547222286462784, 0.03696468099951744, 0.003195327240973711, 0.08159205317497253, -0.03457656130194664, 0.0428273007273674, -0.006177952978760004, 0.10433336347341537, 0.029403796419501305 ]
null
null
null
null
null
null
null
[ -0.06585391610860825, 0.00007106332486728206, 0.025783242657780647, -0.009756174869835377, 0.042740289121866226, -0.04001421481370926, -0.019723964855074883, -0.011424563825130463, 0.037640444934368134, -0.09053046256303787, -0.05544867739081383, 0.0035621675197035074, 0.04575420543551445, 0.029248880222439766, 0.03753715381026268, -0.008548338897526264, 0.03304872289299965, -0.03895287588238716, 0.000178086367668584, -0.046069007366895676, 0.06049259006977081, -0.01570848934352398, -0.054335035383701324, -0.011332842521369457, 0.034596700221300125, -0.00028774671955034137, -0.01024758629500866, -0.010342578403651714, 0.05231672525405884, -0.04915627837181091, 0.02905784733593464, 0.11016814410686493, -0.03300749137997627, 0.023126428946852684, -0.021953698247671127, 0.05818836763501167, -0.007780549582093954, -0.021073313429951668, -0.07791554182767868, -0.022299710661172867, -0.16164065897464752, 0.010923938825726509, -0.004715310409665108, 0.010705961845815182, 0.01943754032254219, -0.13963238894939423, -0.03611220419406891, -0.04648846015334129, 0.018099499866366386, 0.06365317106246948, -0.02000845968723297, -0.056589964777231216, -0.01333525124937296, -0.015839582309126854, 0.08735860139131546, 0.024739626795053482, 0.05820801481604576, -0.03760595619678497, -0.09031552076339722, -0.04061611741781235, -0.060316264629364014, 0.02647373639047146, -0.07469701021909714, 0.02630653977394104, -0.07756714522838593, 0.006518491543829441, -0.05957888811826706, -0.0363253615796566, 0.05630971118807793, 0.004698688630014658, -0.10399419069290161, -0.03974217176437378, 0.03236516937613487, 0.03302020952105522, 0.02828524261713028, 0.012580384500324726, 0.011267712339758873, 0.06444145739078522, -0.019347546622157097, -0.11458437144756317, 0.01739439368247986, 0.10191698372364044, -0.01478967722505331, 0.011426250450313091, -0.036326318979263306, 0.011626830324530602, 0.041565537452697754, -0.018332330510020256, 0.06421077251434326, 0.0178406722843647, 0.04928726702928543, -0.028794534504413605, 0.06810863316059113, -0.03600161150097847, 0.07023534923791885, -0.0007284284220077097, 0.049084413796663284, -0.024543270468711853, 0.015369062311947346, -0.01493872981518507, -0.008598324842751026, -0.0037101074121892452, 0.04259917885065079, -0.03160787746310234, -0.06691830605268478, 0.00395096093416214, 0.04936203360557556, 0.013344702310860157, 0.01964517869055271, -0.024378931149840355, -0.03240272402763367, 0.006736659910529852, -0.04907839745283127, -0.053821153938770294, 0.04257378727197647, -0.030519455671310425, -0.052000924944877625, -0.05091307684779167, -0.06993403285741806, 0.012707842513918877, -0.02027631737291813, 0.05048811063170433, 0.06800077110528946, -0.06691425293684006, 0.037127308547496796, -0.02296564355492592, -0.03402175381779671, 2.9275253343687205e-33, 0.00605233246460557, -0.0059349979273974895, -0.13276588916778564, 0.026691798120737076, 0.057712122797966, -0.09061284363269806, 0.05526423454284668, 0.07175581902265549, -0.037847839295864105, -0.09891600906848907, 0.027490446344017982, 0.10148903727531433, -0.15147845447063446, -0.02966339886188507, 0.05501702427864075, 0.05010134354233742, -0.04791654646396637, 0.09986475110054016, 0.005559587851166725, 0.05352551490068436, -0.056045446544885635, -0.03757425770163536, 0.06643634289503098, 0.029273398220539093, 0.03485596552491188, 0.1099914163351059, 0.06257396191358566, -0.023805592209100723, -0.03238314390182495, 0.02314467914402485, 0.06029706448316574, -0.009042022749781609, 0.07384723424911499, -0.011608115397393703, -0.026876969262957573, 0.1062823161482811, 0.017897147685289383, 0.04198017343878746, 0.06263589859008789, 0.06861384958028793, 0.020749187096953392, -0.0006881627487018704, -0.002289954572916031, 0.0009178398759104311, 0.04110744595527649, -0.10864678770303726, -0.02082127518951893, 0.0035722602624446154, 0.04879745841026306, -0.03618484362959862, 0.07173293083906174, 0.0006360802799463272, 0.07531186938285828, 0.045344676822423935, -0.05532599985599518, -0.03371720388531685, -0.036911286413669586, -0.010083569213747978, 0.019854148849844933, 0.02253641188144684, -0.03171509876847267, 0.024559946730732918, -0.0016055047744885087, 0.09220492094755173, 0.08525937795639038, 0.0009137276210822165, 0.041480034589767456, 0.03869912773370743, 0.012989685870707035, 0.04575834795832634, -0.024987606331706047, -0.04450254142284393, -0.059698108583688736, -0.0021193886641412973, -0.020364591851830482, -0.09183561056852341, -0.00756500568240881, 0.018097693100571632, 0.0504421591758728, 0.01703735813498497, -0.08295822143554688, -0.024975784122943878, -0.003887142287567258, -0.06566862016916275, 0.016413146629929543, 0.05703355371952057, 0.06233576685190201, -0.0901324525475502, -0.02133943885564804, 0.0258031003177166, 0.040746044367551804, -0.028221281245350838, -0.03001531772315502, 0.01760999485850334, 0.07906245440244675, -3.795765665695217e-33, 0.012247259728610516, -0.0624738484621048, 0.024513697251677513, 0.003760860301554203, -0.03382961452007294, -0.04113701730966568, -0.08819954097270966, 0.028813328593969345, -0.12126121670007706, -0.016854198649525642, -0.05083019658923149, -0.05812330171465874, -0.01928716152906418, 0.0038416290190070868, 0.0022855312563478947, -0.05280935764312744, -0.012985588051378727, -0.0632772296667099, -0.0007695892127230763, 0.07569237053394318, -0.00870837178081274, -0.006369450129568577, 0.032524216920137405, -0.051307715475559235, 0.01079617254436016, -0.015461252070963383, -0.09028168767690659, -0.09051985293626785, 0.041712868958711624, -0.08745141327381134, 0.0615449920296669, 0.029964352026581764, 0.03635157644748688, -0.0590178556740284, 0.02654581144452095, -0.06662404537200928, 0.020012669265270233, -0.033584196120500565, -0.00803725328296423, -0.020403986796736717, 0.04346441477537155, 0.010990944691002369, -0.03383096680045128, -0.04455261677503586, 0.008015654049813747, 0.04229852184653282, -0.044539548456668854, 0.03658749908208847, 0.0643916055560112, -0.11278260499238968, 0.04871698096394539, -0.06359652429819107, 0.007767955772578716, -0.11923504620790482, -0.014495748095214367, 0.013285966590046883, 0.017280688509345055, -0.016681887209415436, 0.023464564234018326, 0.002762269228696823, 0.006764134392142296, -0.015733646228909492, 0.05712301656603813, -0.030110344290733337, 0.057250045239925385, 0.004800368566066027, 0.015456964261829853, 0.0350356362760067, -0.21036885678768158, 0.03931406885385513, -0.00834764912724495, -0.029167598113417625, -0.08385283499956131, 0.0008697525481693447, 0.006163456942886114, 0.0087459497153759, -0.0024907111655920744, 0.004489001352339983, -0.038815464824438095, -0.029446950182318687, -0.06769657135009766, -0.013708068989217281, -0.03750116005539894, 0.021411484107375145, -0.039550598710775375, 0.05778949335217476, -0.004174978006631136, 0.047256696969270706, -0.011834286153316498, 0.05887122079730034, -0.07963008433580399, 0.07019566744565964, -0.019432639703154564, 0.09824515134096146, 0.020206963643431664, -3.937752168781117e-8, -0.018358131870627403, 0.08505162596702576, -0.005132874473929405, 0.0221005417406559, 0.0005106185562908649, 0.07070349156856537, -0.07983553409576416, 0.12742111086845398, -0.01554113533347845, -0.030782995745539665, -0.02603199891746044, -0.03206445649266243, -0.046913906931877136, 0.06187579408288002, 0.002488111611455679, 0.07265260070562363, 0.01534820906817913, 0.019498463720083237, 0.007976483553647995, -0.04720669984817505, 0.02467336133122444, 0.03437400236725807, 0.10244843363761902, 0.03833776339888573, -0.0024866065941751003, 0.0068620298989117146, 0.02407081052660942, 0.12314626574516296, 0.03611147031188011, -0.061382271349430084, 0.01952025666832924, 0.02259119227528572, 0.024534102529287338, 0.02877483144402504, 0.1130845844745636, -0.06354744732379913, 0.07210662215948105, 0.01571793295443058, 0.0642089694738388, 0.005407753400504589, 0.04173717275261879, 0.039491042494773865, 0.048455771058797836, 0.04613398388028145, 0.015233355574309826, -0.04669293388724327, -0.020452389493584633, -0.04633520171046257, -0.018870290368795395, -0.040942296385765076, -0.09052060544490814, -0.03805989772081375, -0.07949341833591461, 0.026023976504802704, -0.012433405965566635, 0.06547222286462784, 0.03696468099951744, 0.003195327240973711, 0.08159205317497253, -0.03457656130194664, 0.0428273007273674, -0.006177952978760004, 0.10433336347341537, 0.029403796419501305 ]
1402.0160
Hamza Salami
Hamza Onoruoiza Salami, Moataz Ahmed
A framework for reuse of multi-view UML artifacts
conference proceeding
International Journal of Soft Computing and Software Engineering [JSCSE], Vol. 3, No. 3, pp. 156-162, 2013, Doi: 10.7321/jscse.v3.n3.25
10.7321/jscse.v3.n3.25
null
cs.SE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Software is typically modeled from different viewpoints such as structural view, behavioral view and functional view. Few existing works can be considered as applying multi-view retrieval approaches. A number of important issues regarding mapping of entities during multi-view retrieval of UML models is identified in this study. In response, we describe a framework for reusing UML artifacts, and discuss how our retrieval approach tackles the identified issues.
[ { "created": "Sun, 2 Feb 2014 08:45:47 GMT", "version": "v1" } ]
2014-02-04
[ [ "Salami", "Hamza Onoruoiza", "" ], [ "Ahmed", "Moataz", "" ] ]
[ -0.020248815417289734, -0.06076173484325409, -0.045449841767549515, -0.03384748473763466, 0.031179305166006088, -0.004320854786783457, -0.010912125930190086, -0.036870066076517105, 0.05043651536107063, -0.08802290260791779, -0.025693979114294052, -0.03140181303024292, 0.05078982189297676, 0.0695195272564888, 0.019035058096051216, 0.0017148065380752087, 0.08685964345932007, 0.008008930832147598, -0.053782571107149124, 0.013476760126650333, 0.062369804829359055, 0.04060845822095871, -0.006768826395273209, -0.04138041287660599, -0.035501688718795776, 0.008456289768218994, -0.03236763924360275, -0.05163358151912689, 0.025273995473980904, -0.10671818256378174, 0.06716454029083252, 0.1268838793039322, -0.025222942233085632, 0.09902414679527283, -0.0050130789168179035, 0.0021188806276768446, -0.02128816582262516, -0.010488134808838367, -0.028130728751420975, -0.026115337386727333, -0.07802991569042206, 0.024592384696006775, 0.004130030050873756, 0.015314213000237942, 0.000910177652258426, -0.09336329996585846, -0.06681102514266968, -0.10603293031454086, 0.04686998203396797, 0.03563021495938301, -0.1381659060716629, -0.005216013174504042, -0.05744951218366623, 0.005339148920029402, 0.019447416067123413, 0.02023289166390896, 0.008291281759738922, -0.06485527753829956, -0.09386319667100906, -0.042454663664102554, -0.033971089869737625, -0.005686850752681494, -0.025761647149920464, 0.07855899631977081, -0.005730308126658201, 0.05106735974550247, -0.03119857795536518, -0.08096027374267578, 0.07424957305192947, -0.06576728075742722, -0.04894132912158966, -0.04395119473338127, 0.05649678781628609, -0.05502166226506233, 0.057812657207250595, 0.0229040440171957, 0.009004144929349422, 0.01724337972700596, 0.018018504604697227, -0.147703617811203, -0.005101251881569624, 0.08550578355789185, -0.02929680049419403, -0.01148185320198536, 0.0611191987991333, -0.024111321195960045, 0.029792649671435356, -0.09660447388887405, 0.048874631524086, 0.05239318311214447, -0.034674569964408875, 0.001554279588162899, 0.04584231227636337, -0.0035063927061855793, 0.02156069129705429, -0.03359821438789368, 0.08670274913311005, -0.017189564183354378, 0.02657640166580677, 0.03854009881615639, 0.03462750092148781, 0.06581686437129974, 0.025219794362783432, -0.06329873949289322, -0.07923337817192078, -0.03461361303925514, 0.010415439493954182, 0.032318104058504105, -0.01947798952460289, -0.060954973101615906, -0.023657677695155144, 0.04428229108452797, -0.03063276968896389, -0.016699491068720818, -0.011179379187524319, -0.09044818580150604, -0.011506540700793266, -0.03940372169017792, 0.014172748662531376, -0.007736917119473219, -0.05242781341075897, 0.014679152518510818, 0.04342309385538101, 0.001875006128102541, 0.01960836350917816, -0.02474580705165863, -0.040774084627628326, 2.911100050785635e-34, -0.005768027156591415, 0.0045340475626289845, -0.039255160838365555, -0.0030435980297625065, 0.062418531626462936, -0.051237914711236954, 0.02945857122540474, 0.05455470830202103, -0.023110894486308098, -0.042910944670438766, 0.0002058370300801471, 0.14537400007247925, -0.05149388313293457, 0.01698014885187149, 0.01058457512408495, 0.03825951740145683, -0.058911796659231186, 0.06612566858530045, -0.030482755973935127, 0.044613178819417953, 0.03058641403913498, 0.03537752106785774, 0.04579564556479454, 0.003950740210711956, 0.046271175146102905, 0.11487405747175217, 0.013495605438947678, -0.013445118442177773, -0.14521408081054688, 0.047103896737098694, 0.048988208174705505, -0.026590600609779358, 0.057015009224414825, 0.01153683103621006, -0.01769566908478737, 0.05996338650584221, 0.006417938508093357, 0.05534057691693306, 0.014012441970407963, 0.006677679251879454, -0.009442455135285854, -0.01651075854897499, -0.037510424852371216, -0.050283316522836685, -0.049487411975860596, -0.043735671788454056, -0.07361479103565216, 0.06315735727548599, -0.012462785467505455, -0.0426391176879406, 0.08656979352235794, -0.04296493157744408, 0.0058696074411273, -0.012176445685327053, -0.04502670094370842, -0.020189877599477768, -0.09988715499639511, 0.036878056824207306, 0.05091303586959839, 0.035816650837659836, -0.04637838155031204, 0.032116539776325226, 0.01658746786415577, 0.05165417119860649, 0.021802157163619995, -0.004250198137015104, 0.03444342687726021, 0.015181037597358227, 0.06455110758543015, 0.05553651228547096, -0.012039766646921635, -0.028024954721331596, 0.01614932157099247, -0.017648562788963318, 0.019958820194005966, -0.10344956815242767, -0.04950864240527153, -0.061481550335884094, 0.07140636444091797, 0.06843259185552597, -0.04473273083567619, -0.035406216979026794, 0.018192796036601067, -0.03050069883465767, -0.01162625290453434, 0.015715323388576508, 0.05591849237680435, -0.1305880844593048, -0.013382382690906525, 0.019224315881729126, -0.015007768757641315, 0.00631096912547946, -0.03451623395085335, -0.021727923303842545, 0.11440569162368774, -2.3900375219529375e-33, 0.06356188654899597, -0.09743645042181015, 0.0494883731007576, -0.054341625422239304, -0.022759538143873215, -0.05382924526929855, -0.054436810314655304, 0.035964157432317734, -0.15631841123104095, -0.017741287127137184, -0.017124760895967484, -0.09485802799463272, -0.019330311566591263, -0.00869843177497387, 0.015755219385027885, -0.006524516269564629, 0.04182136431336403, -0.10002078860998154, -0.04322076961398125, 0.11957842111587524, 0.02320236526429653, 0.004606394097208977, -0.030311135575175285, -0.007282591890543699, 0.06409288197755814, 0.04575584456324577, -0.03943163901567459, -0.11726463586091995, 0.0026186348404735327, -0.05817912891507149, 0.05213393643498421, 0.00024318361829500645, 0.03499908745288849, -0.0908307135105133, -0.005109485238790512, -0.0010007561650127172, 0.01006174087524414, -0.03052668273448944, -0.048227716237306595, 0.06218241900205612, -0.029568344354629517, 0.0006757350638508797, -0.00970342755317688, 0.011656730435788631, 0.04924948513507843, 0.02646806091070175, -0.045664992183446884, 0.041973333805799484, 0.036564264446496964, -0.054684773087501526, 0.022658690810203552, -0.026022715494036674, -0.020137378945946693, -0.07778319716453552, -0.006654272321611643, 0.03123927116394043, -0.0015765050193294883, -0.062811940908432, 0.02408490516245365, -0.019611984491348267, 0.03064914420247078, -0.06002498418092728, -0.011962894350290298, 0.05171431601047516, 0.03938542306423187, -0.014788678847253323, 0.005447480361908674, -0.01589915156364441, -0.1398981362581253, 0.003000073367729783, -0.03379537910223007, -0.036733318120241165, -0.07184452563524246, -0.02233942784368992, 0.07867445796728134, 0.0018127186922356486, 0.016532903537154198, 0.040578365325927734, 0.030144838616251945, 0.006783230695873499, -0.03359299525618553, -0.03357783332467079, 0.024635428562760353, 0.08867358416318893, -0.036765534430742264, 0.022935451939702034, 0.02454342506825924, 0.04748038947582245, 0.024198204278945923, -0.02199104242026806, -0.0104618389159441, 0.03895822912454605, -0.05274515971541405, 0.05304820463061333, 0.042063821107149124, -3.608450072078995e-8, -0.09989213198423386, 0.07900435477495193, 0.006542155519127846, 0.02552054077386856, -0.03209559991955757, 0.08918984979391098, -0.02752705104649067, 0.14084714651107788, -0.07071851938962936, -0.027257779613137245, -0.02268589660525322, -0.023977970704436302, -0.08129602670669556, 0.04018939286470413, 0.053397439420223236, 0.021429138258099556, 0.06262024492025375, 0.06574053317308426, 0.01746395044028759, -0.004489772021770477, 0.009117183275520802, 0.05346916615962982, 0.11865843087434769, 0.049384865909814835, 0.030526962131261826, 0.05107031390070915, -0.054826769977808, 0.03862059861421585, 0.09123286604881287, -0.00510130450129509, 0.0666169822216034, 0.050948359072208405, -0.030045446008443832, 0.014802223071455956, 0.02757244184613228, -0.0434829406440258, 0.09597712010145187, -0.030367430299520493, -0.020260419696569443, 0.015365242958068848, 0.028856445103883743, 0.03986110910773277, 0.014948931522667408, 0.06523580104112625, 0.06257709115743637, 0.018055876716971397, 0.05819207429885864, -0.04298791661858559, 0.013789154589176178, -0.009862074628472328, -0.11306935548782349, -0.07251062989234924, -0.0882139727473259, 0.07252666354179382, -0.04323188588023186, 0.031030792742967606, 0.04078340530395508, -0.09921932220458984, 0.06621981412172318, -0.04133569449186325, 0.05838136002421379, 0.017664829269051552, -0.027868643403053284, 0.03288355469703674 ]
null
null
null
null
null
null
null
[ -0.020248815417289734, -0.06076173484325409, -0.045449841767549515, -0.03384748473763466, 0.031179305166006088, -0.004320854786783457, -0.010912125930190086, -0.036870066076517105, 0.05043651536107063, -0.08802290260791779, -0.025693979114294052, -0.03140181303024292, 0.05078982189297676, 0.0695195272564888, 0.019035058096051216, 0.0017148065380752087, 0.08685964345932007, 0.008008930832147598, -0.053782571107149124, 0.013476760126650333, 0.062369804829359055, 0.04060845822095871, -0.006768826395273209, -0.04138041287660599, -0.035501688718795776, 0.008456289768218994, -0.03236763924360275, -0.05163358151912689, 0.025273995473980904, -0.10671818256378174, 0.06716454029083252, 0.1268838793039322, -0.025222942233085632, 0.09902414679527283, -0.0050130789168179035, 0.0021188806276768446, -0.02128816582262516, -0.010488134808838367, -0.028130728751420975, -0.026115337386727333, -0.07802991569042206, 0.024592384696006775, 0.004130030050873756, 0.015314213000237942, 0.000910177652258426, -0.09336329996585846, -0.06681102514266968, -0.10603293031454086, 0.04686998203396797, 0.03563021495938301, -0.1381659060716629, -0.005216013174504042, -0.05744951218366623, 0.005339148920029402, 0.019447416067123413, 0.02023289166390896, 0.008291281759738922, -0.06485527753829956, -0.09386319667100906, -0.042454663664102554, -0.033971089869737625, -0.005686850752681494, -0.025761647149920464, 0.07855899631977081, -0.005730308126658201, 0.05106735974550247, -0.03119857795536518, -0.08096027374267578, 0.07424957305192947, -0.06576728075742722, -0.04894132912158966, -0.04395119473338127, 0.05649678781628609, -0.05502166226506233, 0.057812657207250595, 0.0229040440171957, 0.009004144929349422, 0.01724337972700596, 0.018018504604697227, -0.147703617811203, -0.005101251881569624, 0.08550578355789185, -0.02929680049419403, -0.01148185320198536, 0.0611191987991333, -0.024111321195960045, 0.029792649671435356, -0.09660447388887405, 0.048874631524086, 0.05239318311214447, -0.034674569964408875, 0.001554279588162899, 0.04584231227636337, -0.0035063927061855793, 0.02156069129705429, -0.03359821438789368, 0.08670274913311005, -0.017189564183354378, 0.02657640166580677, 0.03854009881615639, 0.03462750092148781, 0.06581686437129974, 0.025219794362783432, -0.06329873949289322, -0.07923337817192078, -0.03461361303925514, 0.010415439493954182, 0.032318104058504105, -0.01947798952460289, -0.060954973101615906, -0.023657677695155144, 0.04428229108452797, -0.03063276968896389, -0.016699491068720818, -0.011179379187524319, -0.09044818580150604, -0.011506540700793266, -0.03940372169017792, 0.014172748662531376, -0.007736917119473219, -0.05242781341075897, 0.014679152518510818, 0.04342309385538101, 0.001875006128102541, 0.01960836350917816, -0.02474580705165863, -0.040774084627628326, 2.911100050785635e-34, -0.005768027156591415, 0.0045340475626289845, -0.039255160838365555, -0.0030435980297625065, 0.062418531626462936, -0.051237914711236954, 0.02945857122540474, 0.05455470830202103, -0.023110894486308098, -0.042910944670438766, 0.0002058370300801471, 0.14537400007247925, -0.05149388313293457, 0.01698014885187149, 0.01058457512408495, 0.03825951740145683, -0.058911796659231186, 0.06612566858530045, -0.030482755973935127, 0.044613178819417953, 0.03058641403913498, 0.03537752106785774, 0.04579564556479454, 0.003950740210711956, 0.046271175146102905, 0.11487405747175217, 0.013495605438947678, -0.013445118442177773, -0.14521408081054688, 0.047103896737098694, 0.048988208174705505, -0.026590600609779358, 0.057015009224414825, 0.01153683103621006, -0.01769566908478737, 0.05996338650584221, 0.006417938508093357, 0.05534057691693306, 0.014012441970407963, 0.006677679251879454, -0.009442455135285854, -0.01651075854897499, -0.037510424852371216, -0.050283316522836685, -0.049487411975860596, -0.043735671788454056, -0.07361479103565216, 0.06315735727548599, -0.012462785467505455, -0.0426391176879406, 0.08656979352235794, -0.04296493157744408, 0.0058696074411273, -0.012176445685327053, -0.04502670094370842, -0.020189877599477768, -0.09988715499639511, 0.036878056824207306, 0.05091303586959839, 0.035816650837659836, -0.04637838155031204, 0.032116539776325226, 0.01658746786415577, 0.05165417119860649, 0.021802157163619995, -0.004250198137015104, 0.03444342687726021, 0.015181037597358227, 0.06455110758543015, 0.05553651228547096, -0.012039766646921635, -0.028024954721331596, 0.01614932157099247, -0.017648562788963318, 0.019958820194005966, -0.10344956815242767, -0.04950864240527153, -0.061481550335884094, 0.07140636444091797, 0.06843259185552597, -0.04473273083567619, -0.035406216979026794, 0.018192796036601067, -0.03050069883465767, -0.01162625290453434, 0.015715323388576508, 0.05591849237680435, -0.1305880844593048, -0.013382382690906525, 0.019224315881729126, -0.015007768757641315, 0.00631096912547946, -0.03451623395085335, -0.021727923303842545, 0.11440569162368774, -2.3900375219529375e-33, 0.06356188654899597, -0.09743645042181015, 0.0494883731007576, -0.054341625422239304, -0.022759538143873215, -0.05382924526929855, -0.054436810314655304, 0.035964157432317734, -0.15631841123104095, -0.017741287127137184, -0.017124760895967484, -0.09485802799463272, -0.019330311566591263, -0.00869843177497387, 0.015755219385027885, -0.006524516269564629, 0.04182136431336403, -0.10002078860998154, -0.04322076961398125, 0.11957842111587524, 0.02320236526429653, 0.004606394097208977, -0.030311135575175285, -0.007282591890543699, 0.06409288197755814, 0.04575584456324577, -0.03943163901567459, -0.11726463586091995, 0.0026186348404735327, -0.05817912891507149, 0.05213393643498421, 0.00024318361829500645, 0.03499908745288849, -0.0908307135105133, -0.005109485238790512, -0.0010007561650127172, 0.01006174087524414, -0.03052668273448944, -0.048227716237306595, 0.06218241900205612, -0.029568344354629517, 0.0006757350638508797, -0.00970342755317688, 0.011656730435788631, 0.04924948513507843, 0.02646806091070175, -0.045664992183446884, 0.041973333805799484, 0.036564264446496964, -0.054684773087501526, 0.022658690810203552, -0.026022715494036674, -0.020137378945946693, -0.07778319716453552, -0.006654272321611643, 0.03123927116394043, -0.0015765050193294883, -0.062811940908432, 0.02408490516245365, -0.019611984491348267, 0.03064914420247078, -0.06002498418092728, -0.011962894350290298, 0.05171431601047516, 0.03938542306423187, -0.014788678847253323, 0.005447480361908674, -0.01589915156364441, -0.1398981362581253, 0.003000073367729783, -0.03379537910223007, -0.036733318120241165, -0.07184452563524246, -0.02233942784368992, 0.07867445796728134, 0.0018127186922356486, 0.016532903537154198, 0.040578365325927734, 0.030144838616251945, 0.006783230695873499, -0.03359299525618553, -0.03357783332467079, 0.024635428562760353, 0.08867358416318893, -0.036765534430742264, 0.022935451939702034, 0.02454342506825924, 0.04748038947582245, 0.024198204278945923, -0.02199104242026806, -0.0104618389159441, 0.03895822912454605, -0.05274515971541405, 0.05304820463061333, 0.042063821107149124, -3.608450072078995e-8, -0.09989213198423386, 0.07900435477495193, 0.006542155519127846, 0.02552054077386856, -0.03209559991955757, 0.08918984979391098, -0.02752705104649067, 0.14084714651107788, -0.07071851938962936, -0.027257779613137245, -0.02268589660525322, -0.023977970704436302, -0.08129602670669556, 0.04018939286470413, 0.053397439420223236, 0.021429138258099556, 0.06262024492025375, 0.06574053317308426, 0.01746395044028759, -0.004489772021770477, 0.009117183275520802, 0.05346916615962982, 0.11865843087434769, 0.049384865909814835, 0.030526962131261826, 0.05107031390070915, -0.054826769977808, 0.03862059861421585, 0.09123286604881287, -0.00510130450129509, 0.0666169822216034, 0.050948359072208405, -0.030045446008443832, 0.014802223071455956, 0.02757244184613228, -0.0434829406440258, 0.09597712010145187, -0.030367430299520493, -0.020260419696569443, 0.015365242958068848, 0.028856445103883743, 0.03986110910773277, 0.014948931522667408, 0.06523580104112625, 0.06257709115743637, 0.018055876716971397, 0.05819207429885864, -0.04298791661858559, 0.013789154589176178, -0.009862074628472328, -0.11306935548782349, -0.07251062989234924, -0.0882139727473259, 0.07252666354179382, -0.04323188588023186, 0.031030792742967606, 0.04078340530395508, -0.09921932220458984, 0.06621981412172318, -0.04133569449186325, 0.05838136002421379, 0.017664829269051552, -0.027868643403053284, 0.03288355469703674 ]
1402.0170
Shu Kong
Shu Kong, Zhuolin Jiang, Qiang Yang
Collaborative Receptive Field Learning
16 pages, 8 figures
null
null
null
cs.CV cs.LG cs.MM stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The challenge of object categorization in images is largely due to arbitrary translations and scales of the foreground objects. To attack this difficulty, we propose a new approach called collaborative receptive field learning to extract specific receptive fields (RF's) or regions from multiple images, and the selected RF's are supposed to focus on the foreground objects of a common category. To this end, we solve the problem by maximizing a submodular function over a similarity graph constructed by a pool of RF candidates. However, measuring pairwise distance of RF's for building the similarity graph is a nontrivial problem. Hence, we introduce a similarity metric called pyramid-error distance (PED) to measure their pairwise distances through summing up pyramid-like matching errors over a set of low-level features. Besides, in consistent with the proposed PED, we construct a simple nonparametric classifier for classification. Experimental results show that our method effectively discovers the foreground objects in images, and improves classification performance.
[ { "created": "Sun, 2 Feb 2014 10:11:57 GMT", "version": "v1" } ]
2014-02-04
[ [ "Kong", "Shu", "" ], [ "Jiang", "Zhuolin", "" ], [ "Yang", "Qiang", "" ] ]
[ 0.009521831758320332, -0.06773793697357178, -0.0020079663954675198, -0.06059165298938751, 0.06577006727457047, -0.008900132961571217, -0.031150875613093376, -0.010937348008155823, -0.01236052718013525, -0.11898759007453918, -0.06496506929397583, -0.05981197953224182, 0.03385980427265167, 0.1136716902256012, -0.045572564005851746, -0.003832018468528986, 0.09023412317037582, 0.04568209499120712, -0.053343694657087326, 0.04603256657719612, -0.045299749821424484, -0.029407627880573273, 0.05356892943382263, 0.008825653232634068, 0.010924037545919418, 0.012602696195244789, 0.04814692959189415, 0.0013227565214037895, -0.06980890035629272, -0.047185130417346954, -0.02649511955678463, 0.0031397114507853985, 0.013064238242805004, 0.022742891684174538, -0.028407927602529526, 0.11520681530237198, -0.02056877501308918, 0.04803609848022461, 0.010840448550879955, -0.021832462400197983, -0.03396451100707054, 0.031968992203474045, -0.013914776965975761, 0.12091671675443649, 0.028021063655614853, 0.04816078767180443, 0.020908759906888008, -0.02255365625023842, 0.003919986542314291, 0.02634548395872116, 0.02704782411456108, 0.042613983154296875, -0.12021489441394806, 0.07675492763519287, -0.02864374965429306, -0.027313968166708946, 0.024327823892235756, -0.05192476138472557, 0.01890532858669758, 0.018957113847136497, 0.06563393026590347, -0.0831717923283577, 0.026856187731027603, 0.016919918358325958, -0.018236111849546432, -0.03719839081168175, 0.01885533519089222, -0.06165951490402222, 0.00664700660854578, -0.003590391017496586, 0.04471643269062042, 0.03855171054601669, -0.021391794085502625, 0.059888336807489395, 0.008143153041601181, 0.0010209961328655481, 0.04435092583298683, -0.023423345759510994, 0.021037273108959198, -0.11522126942873001, -0.011600621975958347, 0.001982633024454117, 0.029817551374435425, -0.048981498926877975, 0.17845995724201202, -0.00756820710375905, -0.051647987216711044, 0.05512518435716629, -0.0478614941239357, -0.012511173263192177, -0.0607173889875412, -0.0735824778676033, -0.05573225021362305, -0.024436067789793015, -0.029600715264678, -0.07349170744419098, 0.00020148814655840397, -0.041399795562028885, -0.02458268590271473, 0.06997764110565186, -0.049157410860061646, 0.028665123507380486, 0.0022602928802371025, -0.025729293003678322, 0.05320257693529129, 0.04916660487651825, -0.0037778164260089397, 0.06047579646110535, 0.08523872494697571, -0.10060431063175201, 0.027576731517910957, -0.015356929041445255, -0.06469425559043884, 0.08880825340747833, 0.0030764900147914886, 0.009154334664344788, 0.05518180876970291, -0.013898421078920364, 0.03171755000948906, -0.014093706384301186, 0.005048512015491724, -0.034290850162506104, -0.007793858647346497, -0.023957975208759308, -0.0006708035944029689, -0.09482966363430023, -0.05523018166422844, 1.062717262092279e-34, 0.019117843359708786, 0.013853644020855427, 0.03683006018400192, 0.006407638546079397, 0.04090804606676102, 0.026453599333763123, -0.10719118267297745, 0.05063488706946373, -0.027507655322551727, 0.03713323920965195, -0.028648050501942635, 0.050566986203193665, 0.023224132135510445, 0.033729180693626404, 0.047840096056461334, -0.01726665534079075, -0.0627143383026123, -0.020368613302707672, -0.07653972506523132, -0.06105249002575874, -0.03457191213965416, -0.046853672713041306, -0.021312417462468147, 0.035449717193841934, -0.015855148434638977, -0.028564484789967537, 0.017836688086390495, -0.028968730941414833, 0.028799686580896378, -0.01149200089275837, -0.043826621025800705, 0.048965755850076675, 0.05627185478806496, 0.020150789991021156, 0.07269825041294098, -0.08090830594301224, 0.02694682404398918, -0.00785903912037611, 0.027581939473748207, -0.02990899607539177, 0.00037963257636874914, 0.03068443015217781, -0.08374129235744476, -0.06276858597993851, 0.026822412386536598, -0.024461016058921814, 0.010654066689312458, 0.04492447152733803, -0.03499382361769676, -0.045324619859457016, 0.06046769395470619, -0.011703306809067726, 0.005254925228655338, -0.0034113747533410788, 0.002262786263599992, 0.01021073292940855, -0.03891044855117798, 0.03222842514514923, 0.039740920066833496, -0.02832152135670185, 0.0981697142124176, 0.00951352994889021, -0.018595587462186813, 0.028247827664017677, -0.02657386101782322, 0.006156045477837324, 0.03715834394097328, 0.030990365892648697, 0.012753837741911411, 0.10437721014022827, 0.007108310237526894, 0.10496494919061661, -0.0689719021320343, -0.07163785398006439, 0.02603514865040779, -0.01779216155409813, 0.05825565755367279, -0.05032180994749069, -0.05488740652799606, 0.07371437549591064, -0.0762770026922226, -0.08152660727500916, 0.010642841458320618, -0.07890906184911728, -0.12914736568927765, 0.06544017046689987, 0.07941222190856934, -0.06794536113739014, -0.028777359053492546, 0.026895519345998764, -0.05893662944436073, 0.07078620046377182, -0.07305189222097397, -0.0054441592656075954, 0.06868178397417068, 1.0474290626637476e-34, -0.016150962561368942, 0.041335828602313995, 0.03282925859093666, -0.030880257487297058, -0.026766052469611168, -0.03772986680269241, 0.0063476646319031715, 0.02846461720764637, -0.029196949675679207, 0.07371438294649124, -0.07103281468153, -0.026562251150608063, 0.03176581859588623, -0.08267250657081604, -0.017750879749655724, 0.05620643123984337, -0.026029473170638084, 0.030127529054880142, -0.055479634553194046, 0.02831701934337616, 0.0817272886633873, 0.10632116347551346, -0.07350431382656097, 0.041206032037734985, -0.1396363079547882, 0.09562655538320541, -0.07203232496976852, -0.0077521479688584805, -0.02449410781264305, -0.08411474525928497, 0.007978599518537521, -0.02469043619930744, -0.008482768200337887, -0.0880286768078804, -0.09775519371032715, 0.02493862621486187, -0.03623175621032715, -0.03321922570466995, -0.01749577559530735, 0.09819100797176361, 0.011470490135252476, 0.016203640028834343, -0.08906024694442749, -0.021181777119636536, -0.0035883064847439528, -0.07136840373277664, -0.0010052538709715009, -0.01943603716790676, -0.019987089559435844, 0.0021586676593869925, -0.017175696790218353, 0.029635174199938774, -0.10659181326627731, 0.03234564885497093, 0.012356541119515896, -0.013707910664379597, -0.079001784324646, 0.0040684533305466175, 0.10193688422441483, 0.019135575741529465, -0.0009961964096873999, -0.03482668474316597, -0.03873319923877716, 0.03771954029798508, 0.03692609444260597, -0.03447914123535156, -0.011157737113535404, 0.11625319719314575, 0.0449298657476902, 0.15570315718650818, 0.03772513195872307, 0.04993990808725357, -0.000863215303979814, -0.04794326424598694, -0.02158275991678238, -0.008494073525071144, 0.027015557512640953, 0.01835458353161812, 0.08284172415733337, 0.009197989478707314, 0.051894575357437134, -0.04319906607270241, 0.028336096554994583, 0.0917588472366333, 0.06368829309940338, 0.04224776849150658, 0.06397758424282074, 0.045678429305553436, 0.02232235297560692, 0.03746423125267029, -0.03705191612243652, -0.024824537336826324, 0.08911053091287613, 0.005081939976662397, 0.027303390204906464, -4.118614782555596e-8, -0.05337047949433327, 0.0300384983420372, -0.04980984330177307, -0.051167845726013184, 0.008874545805156231, -0.01512790285050869, -0.036139458417892456, 0.12749314308166504, -0.04098493978381157, 0.009322077967226505, -0.003269003937020898, 0.022177016362547874, -0.016766194254159927, 0.05701348930597305, -0.029444608837366104, 0.05108211934566498, 0.006246035918593407, 0.023604299873113632, 0.04893999546766281, 0.12456285953521729, 0.018377209082245827, -0.015323208644986153, 0.031625036150217056, 0.045724835246801376, -0.04723417013883591, -0.02213028259575367, 0.01586439274251461, 0.00754658505320549, 0.08092121034860611, -0.0062367841601371765, -0.061343155801296234, 0.025822510942816734, 0.1010909229516983, -0.06163756176829338, -0.008858642540872097, 0.07375015318393707, 5.371668976295041e-7, -0.014421181753277779, -0.09603098779916763, 0.02133190631866455, 0.08044813573360443, -0.014693723060190678, 0.022366270422935486, 0.03716742992401123, -0.02534572407603264, 0.006051612552255392, 0.04522266611456871, -0.046566709876060486, -0.013378315605223179, -0.016658134758472443, 0.054629046469926834, 0.008836979977786541, -0.08149830996990204, 0.05152640864253044, -0.031884972006082535, -0.055636391043663025, -0.0729501023888588, -0.0638439804315567, 0.12078399956226349, -0.005959728267043829, -0.02241038903594017, 0.05707141384482384, -0.04486650973558426, -0.04200726002454758 ]
Collaborative Receptive Field Learning
http://arxiv.org/abs/1402.0170v1
http://arxiv.org/pdf/1402.0170v1.pdf
https://github.com/aimerykong/coRFL
true
true
https://paperswithcode.com/paper/collaborative-receptive-field-learning
[ 0.009521831758320332, -0.06773793697357178, -0.0020079663954675198, -0.06059165298938751, 0.06577006727457047, -0.008900132961571217, -0.031150875613093376, -0.010937348008155823, -0.01236052718013525, -0.11898759007453918, -0.06496506929397583, -0.05981197953224182, 0.03385980427265167, 0.1136716902256012, -0.045572564005851746, -0.003832018468528986, 0.09023412317037582, 0.04568209499120712, -0.053343694657087326, 0.04603256657719612, -0.045299749821424484, -0.029407627880573273, 0.05356892943382263, 0.008825653232634068, 0.010924037545919418, 0.012602696195244789, 0.04814692959189415, 0.0013227565214037895, -0.06980890035629272, -0.047185130417346954, -0.02649511955678463, 0.0031397114507853985, 0.013064238242805004, 0.022742891684174538, -0.028407927602529526, 0.11520681530237198, -0.02056877501308918, 0.04803609848022461, 0.010840448550879955, -0.021832462400197983, -0.03396451100707054, 0.031968992203474045, -0.013914776965975761, 0.12091671675443649, 0.028021063655614853, 0.04816078767180443, 0.020908759906888008, -0.02255365625023842, 0.003919986542314291, 0.02634548395872116, 0.02704782411456108, 0.042613983154296875, -0.12021489441394806, 0.07675492763519287, -0.02864374965429306, -0.027313968166708946, 0.024327823892235756, -0.05192476138472557, 0.01890532858669758, 0.018957113847136497, 0.06563393026590347, -0.0831717923283577, 0.026856187731027603, 0.016919918358325958, -0.018236111849546432, -0.03719839081168175, 0.01885533519089222, -0.06165951490402222, 0.00664700660854578, -0.003590391017496586, 0.04471643269062042, 0.03855171054601669, -0.021391794085502625, 0.059888336807489395, 0.008143153041601181, 0.0010209961328655481, 0.04435092583298683, -0.023423345759510994, 0.021037273108959198, -0.11522126942873001, -0.011600621975958347, 0.001982633024454117, 0.029817551374435425, -0.048981498926877975, 0.17845995724201202, -0.00756820710375905, -0.051647987216711044, 0.05512518435716629, -0.0478614941239357, -0.012511173263192177, -0.0607173889875412, -0.0735824778676033, -0.05573225021362305, -0.024436067789793015, -0.029600715264678, -0.07349170744419098, 0.00020148814655840397, -0.041399795562028885, -0.02458268590271473, 0.06997764110565186, -0.049157410860061646, 0.028665123507380486, 0.0022602928802371025, -0.025729293003678322, 0.05320257693529129, 0.04916660487651825, -0.0037778164260089397, 0.06047579646110535, 0.08523872494697571, -0.10060431063175201, 0.027576731517910957, -0.015356929041445255, -0.06469425559043884, 0.08880825340747833, 0.0030764900147914886, 0.009154334664344788, 0.05518180876970291, -0.013898421078920364, 0.03171755000948906, -0.014093706384301186, 0.005048512015491724, -0.034290850162506104, -0.007793858647346497, -0.023957975208759308, -0.0006708035944029689, -0.09482966363430023, -0.05523018166422844, 1.062717262092279e-34, 0.019117843359708786, 0.013853644020855427, 0.03683006018400192, 0.006407638546079397, 0.04090804606676102, 0.026453599333763123, -0.10719118267297745, 0.05063488706946373, -0.027507655322551727, 0.03713323920965195, -0.028648050501942635, 0.050566986203193665, 0.023224132135510445, 0.033729180693626404, 0.047840096056461334, -0.01726665534079075, -0.0627143383026123, -0.020368613302707672, -0.07653972506523132, -0.06105249002575874, -0.03457191213965416, -0.046853672713041306, -0.021312417462468147, 0.035449717193841934, -0.015855148434638977, -0.028564484789967537, 0.017836688086390495, -0.028968730941414833, 0.028799686580896378, -0.01149200089275837, -0.043826621025800705, 0.048965755850076675, 0.05627185478806496, 0.020150789991021156, 0.07269825041294098, -0.08090830594301224, 0.02694682404398918, -0.00785903912037611, 0.027581939473748207, -0.02990899607539177, 0.00037963257636874914, 0.03068443015217781, -0.08374129235744476, -0.06276858597993851, 0.026822412386536598, -0.024461016058921814, 0.010654066689312458, 0.04492447152733803, -0.03499382361769676, -0.045324619859457016, 0.06046769395470619, -0.011703306809067726, 0.005254925228655338, -0.0034113747533410788, 0.002262786263599992, 0.01021073292940855, -0.03891044855117798, 0.03222842514514923, 0.039740920066833496, -0.02832152135670185, 0.0981697142124176, 0.00951352994889021, -0.018595587462186813, 0.028247827664017677, -0.02657386101782322, 0.006156045477837324, 0.03715834394097328, 0.030990365892648697, 0.012753837741911411, 0.10437721014022827, 0.007108310237526894, 0.10496494919061661, -0.0689719021320343, -0.07163785398006439, 0.02603514865040779, -0.01779216155409813, 0.05825565755367279, -0.05032180994749069, -0.05488740652799606, 0.07371437549591064, -0.0762770026922226, -0.08152660727500916, 0.010642841458320618, -0.07890906184911728, -0.12914736568927765, 0.06544017046689987, 0.07941222190856934, -0.06794536113739014, -0.028777359053492546, 0.026895519345998764, -0.05893662944436073, 0.07078620046377182, -0.07305189222097397, -0.0054441592656075954, 0.06868178397417068, 1.0474290626637476e-34, -0.016150962561368942, 0.041335828602313995, 0.03282925859093666, -0.030880257487297058, -0.026766052469611168, -0.03772986680269241, 0.0063476646319031715, 0.02846461720764637, -0.029196949675679207, 0.07371438294649124, -0.07103281468153, -0.026562251150608063, 0.03176581859588623, -0.08267250657081604, -0.017750879749655724, 0.05620643123984337, -0.026029473170638084, 0.030127529054880142, -0.055479634553194046, 0.02831701934337616, 0.0817272886633873, 0.10632116347551346, -0.07350431382656097, 0.041206032037734985, -0.1396363079547882, 0.09562655538320541, -0.07203232496976852, -0.0077521479688584805, -0.02449410781264305, -0.08411474525928497, 0.007978599518537521, -0.02469043619930744, -0.008482768200337887, -0.0880286768078804, -0.09775519371032715, 0.02493862621486187, -0.03623175621032715, -0.03321922570466995, -0.01749577559530735, 0.09819100797176361, 0.011470490135252476, 0.016203640028834343, -0.08906024694442749, -0.021181777119636536, -0.0035883064847439528, -0.07136840373277664, -0.0010052538709715009, -0.01943603716790676, -0.019987089559435844, 0.0021586676593869925, -0.017175696790218353, 0.029635174199938774, -0.10659181326627731, 0.03234564885497093, 0.012356541119515896, -0.013707910664379597, -0.079001784324646, 0.0040684533305466175, 0.10193688422441483, 0.019135575741529465, -0.0009961964096873999, -0.03482668474316597, -0.03873319923877716, 0.03771954029798508, 0.03692609444260597, -0.03447914123535156, -0.011157737113535404, 0.11625319719314575, 0.0449298657476902, 0.15570315718650818, 0.03772513195872307, 0.04993990808725357, -0.000863215303979814, -0.04794326424598694, -0.02158275991678238, -0.008494073525071144, 0.027015557512640953, 0.01835458353161812, 0.08284172415733337, 0.009197989478707314, 0.051894575357437134, -0.04319906607270241, 0.028336096554994583, 0.0917588472366333, 0.06368829309940338, 0.04224776849150658, 0.06397758424282074, 0.045678429305553436, 0.02232235297560692, 0.03746423125267029, -0.03705191612243652, -0.024824537336826324, 0.08911053091287613, 0.005081939976662397, 0.027303390204906464, -4.118614782555596e-8, -0.05337047949433327, 0.0300384983420372, -0.04980984330177307, -0.051167845726013184, 0.008874545805156231, -0.01512790285050869, -0.036139458417892456, 0.12749314308166504, -0.04098493978381157, 0.009322077967226505, -0.003269003937020898, 0.022177016362547874, -0.016766194254159927, 0.05701348930597305, -0.029444608837366104, 0.05108211934566498, 0.006246035918593407, 0.023604299873113632, 0.04893999546766281, 0.12456285953521729, 0.018377209082245827, -0.015323208644986153, 0.031625036150217056, 0.045724835246801376, -0.04723417013883591, -0.02213028259575367, 0.01586439274251461, 0.00754658505320549, 0.08092121034860611, -0.0062367841601371765, -0.061343155801296234, 0.025822510942816734, 0.1010909229516983, -0.06163756176829338, -0.008858642540872097, 0.07375015318393707, 5.371668976295041e-7, -0.014421181753277779, -0.09603098779916763, 0.02133190631866455, 0.08044813573360443, -0.014693723060190678, 0.022366270422935486, 0.03716742992401123, -0.02534572407603264, 0.006051612552255392, 0.04522266611456871, -0.046566709876060486, -0.013378315605223179, -0.016658134758472443, 0.054629046469926834, 0.008836979977786541, -0.08149830996990204, 0.05152640864253044, -0.031884972006082535, -0.055636391043663025, -0.0729501023888588, -0.0638439804315567, 0.12078399956226349, -0.005959728267043829, -0.02241038903594017, 0.05707141384482384, -0.04486650973558426, -0.04200726002454758 ]
1402.0176
Natasa Golo
Sorin Solomon, Natasa Golo (Racah Institute of Physics, Hebrew University)
Minsky Financial Instability, Interscale Feedback, Percolation and Marshall-Walras Disequilibrium
null
Accounting, Economics and Law. Volume 3, Issue 3, Pages 167-260, 2013
10.1515/ael-2013-0029
null
q-fin.GN physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study analytically and numerically Minsky instability as a combination of top-down, bottom-up and peer-to-peer positive feedback loops. The peer-to-peer interactions are represented by the links of a network formed by the connections between firms, contagion leading to avalanches and percolation phase transitions propagating across these links. The global parameter in the top-bottom, bottom-up feedback loop is the interest rate. Before the Minsky moment, in the Minsky Loans Accelerator stage, the relevant bottom parameter representing the individual firms micro-states is the quantity of loans. After the Minsky moment, in the Minsky Crisis Accelerator stage, the relevant bottom parameters are the number of ponzi units / quantity of failures, defaults. We represent the top-bottom, bottom-up interactions on a plot similar to the Marshal-Walras diagram for quantity-price market equilibrium (where the interest rate is the analog of the price). The Minsky instability is then simply emerging as a consequence of the fixed point (the intersection of the supply and demand curves) being unstable (repulsive). In the presence of network effects, one obtains more than one fixed point and a few dynamic regimes (phases). We describe them and their implications for understanding, predicting and steering economic instability.
[ { "created": "Sun, 2 Feb 2014 11:27:57 GMT", "version": "v1" } ]
2014-02-04
[ [ "Solomon", "Sorin", "", "Racah Institute of Physics, Hebrew\n University" ], [ "Golo", "Natasa", "", "Racah Institute of Physics, Hebrew\n University" ] ]
[ -0.0029179793782532215, -0.058176685124635696, -0.001616650726646185, 0.005702919326722622, -0.01937362179160118, -0.02015865594148636, -0.009724438190460205, 0.0930577889084816, 0.08761852234601974, -0.036678556352853775, -0.06146519258618355, 0.14277230203151703, 0.05596661940217018, -0.04850942641496658, -0.013998252339661121, 0.037935372442007065, -0.03736652806401253, -0.04418645426630974, -0.01068688090890646, 0.05430539324879646, 0.017013872042298317, -0.1007620096206665, -0.06156747415661812, -0.029981812462210655, 0.004251182544976473, -0.042134884744882584, -0.03944443538784981, -0.030944598838686943, 0.021091122180223465, -0.09345012158155441, -0.049300774931907654, -0.032062362879514694, -0.0038281180895864964, 0.029599584639072418, 0.15083451569080353, 0.01851728744804859, 0.08874449133872986, 0.03857995569705963, -0.10413641482591629, 0.09202591329813004, 0.08810775727033615, 0.001196799916215241, -0.06371614336967468, -0.03582321107387543, 0.05100741609930992, -0.046018559485673904, 0.027945075184106827, 0.09117523580789566, -0.052177656441926956, 0.007447064388543367, -0.057533618062734604, -0.014341196045279503, -0.02603582851588726, 0.04631999507546425, 0.009338398464024067, 0.020598579198122025, 0.01813673786818981, -0.003923602867871523, 0.02289281226694584, -0.012544319033622742, 0.04199432581663132, -0.005766615271568298, -0.011333773843944073, -0.04360225051641464, 0.11294479668140411, 0.07536023110151291, 0.05673247575759888, 0.06383247673511505, -0.02991495281457901, 0.10332028567790985, 0.06322715431451797, -0.087222620844841, -0.09744815528392792, -0.06155640631914139, 0.0340348444879055, 0.0035525544080883265, 0.034487225115299225, 0.07331005483865738, 0.028440287336707115, 0.033045921474695206, 0.005279179196804762, -0.05503841117024422, -0.0473925843834877, -0.15522286295890808, -0.07683097571134567, -0.057947345077991486, 0.007071082014590502, -0.03610842674970627, 0.12131492048501968, 0.013602451421320438, -0.14059020578861237, 0.053465668112039566, 0.0079894894734025, -0.025502221658825874, 0.10049274563789368, 0.04459322243928909, 0.025519492104649544, -0.05715562403202057, 0.13125446438789368, 0.07433822751045227, 0.07192613184452057, -0.06506119668483734, 0.057013701647520065, -0.028542790561914444, 0.01503116637468338, -0.037383198738098145, 0.009770214557647705, 0.06087007001042366, 0.052928026765584946, -0.004738259129226208, -0.05756460502743721, 0.035825490951538086, 0.12145823985338211, -0.00344616430811584, 0.013504196889698505, -0.0335889607667923, 0.006518591195344925, 0.038393229246139526, -0.006065938621759415, 0.022612618282437325, 0.06665582209825516, 0.039933763444423676, -0.06132328137755394, -0.004365753848105669, -0.04977913573384285, 0.06278280913829803, -0.09924952685832977, -1.6418766936278226e-33, 0.010846620425581932, -0.008674876764416695, 0.005943463183939457, -0.027145229279994965, -0.0338122732937336, 0.033443547785282135, -0.059360552579164505, -0.0014512307243421674, -0.0999407097697258, 0.055172067135572433, -0.03028075210750103, -0.033487994223833084, -0.027083594352006912, 0.021164417266845703, -0.006136924959719181, -0.03507572412490845, 0.04239049553871155, -0.025683918967843056, 0.08731058239936829, -0.015546777285635471, -0.019996192306280136, -0.04327628016471863, -0.05005772039294243, 0.017739664763212204, 0.044751860201358795, 0.015019631944596767, -0.04140403866767883, 0.05498732253909111, -0.012431339360773563, 0.0010624200804159045, -0.0006036615814082325, 0.11181505769491196, -0.01957518793642521, -0.037572700530290604, -0.0886988416314125, 0.009726307354867458, -0.051070597022771835, -0.02023213356733322, -0.02068665437400341, -0.002422414254397154, -0.033793069422245026, 0.022898374125361443, -0.0852559506893158, 0.02746542915701866, 0.02979345992207527, 0.003609337843954563, 0.09375176578760147, -0.02110981196165085, -0.10625072568655014, -0.054561883211135864, -0.08197352290153503, 0.02442551963031292, -0.06531444936990738, -0.027985701337456703, -0.005108531564474106, 0.012411445379257202, 0.02668618969619274, -0.017448212951421738, -0.09634841233491898, 0.05721340700984001, 0.06431902199983597, -0.005844345781952143, 0.004374248906970024, -0.057588592171669006, -0.035910215228796005, 0.07814724743366241, 0.00891078170388937, 0.07215910404920578, 0.04074277728796005, 0.06687155365943909, -0.0931939110159874, 0.04314154013991356, -0.01839447021484375, -0.01064363680779934, -0.001506800763309002, -0.09853260964155197, -0.05203771963715553, -0.032670360058546066, 0.05090738460421562, 0.013389541767537594, -0.05154353380203247, -0.15517684817314148, -0.005496643483638763, 0.02612845040857792, -0.14110605418682098, 0.04095146059989929, 0.07293113321065903, -0.012040953151881695, -0.025119924917817116, -0.043125297874212265, -0.07371747493743896, -0.0045418506488204, 0.03718825429677963, 0.06114187836647034, 0.03584876284003258, -9.156616101485905e-34, 0.01069638505578041, -0.02777237631380558, -0.04227759316563606, 0.06665319204330444, -0.009379937313497066, 0.020141679793596268, 0.014187742955982685, -0.015999216586351395, -0.0035027042031288147, 0.010474832728505135, -0.07497797161340714, -0.040923185646533966, -0.010257523506879807, 0.070453941822052, 0.04058866947889328, -0.03514058515429497, 0.04738587513566017, 0.0147193418815732, 0.05343019962310791, -0.024017320945858955, -0.02954675443470478, -0.004766667261719704, -0.009305636398494244, -0.03005867637693882, -0.006603066809475422, 0.04327748343348503, -0.029109515249729156, -0.013283728621900082, 0.0029355629812926054, 0.04335089400410652, -0.00414138101041317, 0.021772999316453934, 0.001317862537689507, 0.0525936484336853, 0.0044751581735908985, 0.07414734363555908, -0.021246839314699173, -0.08431515097618103, 0.06259185820817947, -0.06312757730484009, 0.078128881752491, 0.006780387368053198, -0.01190617773681879, -0.014570544473826885, 0.020809544250369072, 0.06940172612667084, 0.041527677327394485, 0.022196965292096138, -0.006790201645344496, -0.032585036009550095, -0.03193674981594086, 0.045052845031023026, -0.02353249117732048, 0.06625189632177353, -0.08814647793769836, -0.010260260663926601, -0.014082306995987892, 0.02406318299472332, -0.000928805791772902, 0.02991262450814247, -0.08485979586839676, 0.004392655566334724, -0.051669906824827194, 0.03442616015672684, -0.03684088587760925, -0.0456383116543293, 0.004309905227273703, -0.07425536960363388, 0.04603882133960724, 0.006120109464973211, 0.09988144040107727, 0.010254970751702785, 0.053848668932914734, 0.035098738968372345, -0.023757195100188255, 0.08388491719961166, -0.048770736902952194, -0.01101413369178772, -0.028269633650779724, -0.06762426346540451, -0.060310330241918564, 0.10824407637119293, 0.00766547117382288, 0.05765881389379501, -0.045298125594854355, 0.020968742668628693, 0.09706665575504303, 0.07426968961954117, 0.017596464604139328, -0.0034790015779435635, -0.022149013355374336, -0.019289273768663406, -0.026056792587041855, 0.03424709290266037, 0.0182135421782732, -5.327815699729399e-8, 0.014846524223685265, 0.007890530861914158, -0.05438198894262314, 0.0550982803106308, 0.06283622980117798, 0.014817255549132824, 0.01644212193787098, 0.04275308549404144, -0.012984215281903744, 0.08918718248605728, -0.008398628793656826, 0.04910457134246826, -0.06222308799624443, -0.03445160388946533, -0.05236183479428291, 0.03728904202580452, -0.04817623645067215, 0.0197359137237072, 0.01073748804628849, -0.01940394937992096, -0.06609484553337097, 0.03351577743887901, -0.014740428887307644, 0.029780184850096703, 0.010306304320693016, -0.04453613981604576, 0.012979580089449883, 0.06893735378980637, 0.005420174449682236, 0.023505598306655884, -0.008931123651564121, -0.01783624477684498, -0.015433421358466148, -0.01714114472270012, -0.034121397882699966, 0.0660296306014061, -0.016432320699095726, 0.003251016838476062, 0.06647615879774094, -0.03030063956975937, 0.05352523550391197, -0.01839733123779297, -0.028603971004486084, -0.05868631601333618, -0.007471880875527859, -0.0029225710313767195, -0.09817865490913391, -0.03897266462445259, 0.05250953137874603, -0.007288703229278326, -0.017379658296704292, -0.0014497876400128007, -0.018126796931028366, 0.05789044126868248, 0.01630011759698391, -0.07534283399581909, -0.07594922930002213, -0.02650671824812889, -0.02442159317433834, 0.016681646928191185, 0.0013053357833996415, -0.020610414445400238, -0.05718282610177994, -0.10508635640144348 ]
null
null
null
null
null
null
null
[ -0.0029179793782532215, -0.058176685124635696, -0.001616650726646185, 0.005702919326722622, -0.01937362179160118, -0.02015865594148636, -0.009724438190460205, 0.0930577889084816, 0.08761852234601974, -0.036678556352853775, -0.06146519258618355, 0.14277230203151703, 0.05596661940217018, -0.04850942641496658, -0.013998252339661121, 0.037935372442007065, -0.03736652806401253, -0.04418645426630974, -0.01068688090890646, 0.05430539324879646, 0.017013872042298317, -0.1007620096206665, -0.06156747415661812, -0.029981812462210655, 0.004251182544976473, -0.042134884744882584, -0.03944443538784981, -0.030944598838686943, 0.021091122180223465, -0.09345012158155441, -0.049300774931907654, -0.032062362879514694, -0.0038281180895864964, 0.029599584639072418, 0.15083451569080353, 0.01851728744804859, 0.08874449133872986, 0.03857995569705963, -0.10413641482591629, 0.09202591329813004, 0.08810775727033615, 0.001196799916215241, -0.06371614336967468, -0.03582321107387543, 0.05100741609930992, -0.046018559485673904, 0.027945075184106827, 0.09117523580789566, -0.052177656441926956, 0.007447064388543367, -0.057533618062734604, -0.014341196045279503, -0.02603582851588726, 0.04631999507546425, 0.009338398464024067, 0.020598579198122025, 0.01813673786818981, -0.003923602867871523, 0.02289281226694584, -0.012544319033622742, 0.04199432581663132, -0.005766615271568298, -0.011333773843944073, -0.04360225051641464, 0.11294479668140411, 0.07536023110151291, 0.05673247575759888, 0.06383247673511505, -0.02991495281457901, 0.10332028567790985, 0.06322715431451797, -0.087222620844841, -0.09744815528392792, -0.06155640631914139, 0.0340348444879055, 0.0035525544080883265, 0.034487225115299225, 0.07331005483865738, 0.028440287336707115, 0.033045921474695206, 0.005279179196804762, -0.05503841117024422, -0.0473925843834877, -0.15522286295890808, -0.07683097571134567, -0.057947345077991486, 0.007071082014590502, -0.03610842674970627, 0.12131492048501968, 0.013602451421320438, -0.14059020578861237, 0.053465668112039566, 0.0079894894734025, -0.025502221658825874, 0.10049274563789368, 0.04459322243928909, 0.025519492104649544, -0.05715562403202057, 0.13125446438789368, 0.07433822751045227, 0.07192613184452057, -0.06506119668483734, 0.057013701647520065, -0.028542790561914444, 0.01503116637468338, -0.037383198738098145, 0.009770214557647705, 0.06087007001042366, 0.052928026765584946, -0.004738259129226208, -0.05756460502743721, 0.035825490951538086, 0.12145823985338211, -0.00344616430811584, 0.013504196889698505, -0.0335889607667923, 0.006518591195344925, 0.038393229246139526, -0.006065938621759415, 0.022612618282437325, 0.06665582209825516, 0.039933763444423676, -0.06132328137755394, -0.004365753848105669, -0.04977913573384285, 0.06278280913829803, -0.09924952685832977, -1.6418766936278226e-33, 0.010846620425581932, -0.008674876764416695, 0.005943463183939457, -0.027145229279994965, -0.0338122732937336, 0.033443547785282135, -0.059360552579164505, -0.0014512307243421674, -0.0999407097697258, 0.055172067135572433, -0.03028075210750103, -0.033487994223833084, -0.027083594352006912, 0.021164417266845703, -0.006136924959719181, -0.03507572412490845, 0.04239049553871155, -0.025683918967843056, 0.08731058239936829, -0.015546777285635471, -0.019996192306280136, -0.04327628016471863, -0.05005772039294243, 0.017739664763212204, 0.044751860201358795, 0.015019631944596767, -0.04140403866767883, 0.05498732253909111, -0.012431339360773563, 0.0010624200804159045, -0.0006036615814082325, 0.11181505769491196, -0.01957518793642521, -0.037572700530290604, -0.0886988416314125, 0.009726307354867458, -0.051070597022771835, -0.02023213356733322, -0.02068665437400341, -0.002422414254397154, -0.033793069422245026, 0.022898374125361443, -0.0852559506893158, 0.02746542915701866, 0.02979345992207527, 0.003609337843954563, 0.09375176578760147, -0.02110981196165085, -0.10625072568655014, -0.054561883211135864, -0.08197352290153503, 0.02442551963031292, -0.06531444936990738, -0.027985701337456703, -0.005108531564474106, 0.012411445379257202, 0.02668618969619274, -0.017448212951421738, -0.09634841233491898, 0.05721340700984001, 0.06431902199983597, -0.005844345781952143, 0.004374248906970024, -0.057588592171669006, -0.035910215228796005, 0.07814724743366241, 0.00891078170388937, 0.07215910404920578, 0.04074277728796005, 0.06687155365943909, -0.0931939110159874, 0.04314154013991356, -0.01839447021484375, -0.01064363680779934, -0.001506800763309002, -0.09853260964155197, -0.05203771963715553, -0.032670360058546066, 0.05090738460421562, 0.013389541767537594, -0.05154353380203247, -0.15517684817314148, -0.005496643483638763, 0.02612845040857792, -0.14110605418682098, 0.04095146059989929, 0.07293113321065903, -0.012040953151881695, -0.025119924917817116, -0.043125297874212265, -0.07371747493743896, -0.0045418506488204, 0.03718825429677963, 0.06114187836647034, 0.03584876284003258, -9.156616101485905e-34, 0.01069638505578041, -0.02777237631380558, -0.04227759316563606, 0.06665319204330444, -0.009379937313497066, 0.020141679793596268, 0.014187742955982685, -0.015999216586351395, -0.0035027042031288147, 0.010474832728505135, -0.07497797161340714, -0.040923185646533966, -0.010257523506879807, 0.070453941822052, 0.04058866947889328, -0.03514058515429497, 0.04738587513566017, 0.0147193418815732, 0.05343019962310791, -0.024017320945858955, -0.02954675443470478, -0.004766667261719704, -0.009305636398494244, -0.03005867637693882, -0.006603066809475422, 0.04327748343348503, -0.029109515249729156, -0.013283728621900082, 0.0029355629812926054, 0.04335089400410652, -0.00414138101041317, 0.021772999316453934, 0.001317862537689507, 0.0525936484336853, 0.0044751581735908985, 0.07414734363555908, -0.021246839314699173, -0.08431515097618103, 0.06259185820817947, -0.06312757730484009, 0.078128881752491, 0.006780387368053198, -0.01190617773681879, -0.014570544473826885, 0.020809544250369072, 0.06940172612667084, 0.041527677327394485, 0.022196965292096138, -0.006790201645344496, -0.032585036009550095, -0.03193674981594086, 0.045052845031023026, -0.02353249117732048, 0.06625189632177353, -0.08814647793769836, -0.010260260663926601, -0.014082306995987892, 0.02406318299472332, -0.000928805791772902, 0.02991262450814247, -0.08485979586839676, 0.004392655566334724, -0.051669906824827194, 0.03442616015672684, -0.03684088587760925, -0.0456383116543293, 0.004309905227273703, -0.07425536960363388, 0.04603882133960724, 0.006120109464973211, 0.09988144040107727, 0.010254970751702785, 0.053848668932914734, 0.035098738968372345, -0.023757195100188255, 0.08388491719961166, -0.048770736902952194, -0.01101413369178772, -0.028269633650779724, -0.06762426346540451, -0.060310330241918564, 0.10824407637119293, 0.00766547117382288, 0.05765881389379501, -0.045298125594854355, 0.020968742668628693, 0.09706665575504303, 0.07426968961954117, 0.017596464604139328, -0.0034790015779435635, -0.022149013355374336, -0.019289273768663406, -0.026056792587041855, 0.03424709290266037, 0.0182135421782732, -5.327815699729399e-8, 0.014846524223685265, 0.007890530861914158, -0.05438198894262314, 0.0550982803106308, 0.06283622980117798, 0.014817255549132824, 0.01644212193787098, 0.04275308549404144, -0.012984215281903744, 0.08918718248605728, -0.008398628793656826, 0.04910457134246826, -0.06222308799624443, -0.03445160388946533, -0.05236183479428291, 0.03728904202580452, -0.04817623645067215, 0.0197359137237072, 0.01073748804628849, -0.01940394937992096, -0.06609484553337097, 0.03351577743887901, -0.014740428887307644, 0.029780184850096703, 0.010306304320693016, -0.04453613981604576, 0.012979580089449883, 0.06893735378980637, 0.005420174449682236, 0.023505598306655884, -0.008931123651564121, -0.01783624477684498, -0.015433421358466148, -0.01714114472270012, -0.034121397882699966, 0.0660296306014061, -0.016432320699095726, 0.003251016838476062, 0.06647615879774094, -0.03030063956975937, 0.05352523550391197, -0.01839733123779297, -0.028603971004486084, -0.05868631601333618, -0.007471880875527859, -0.0029225710313767195, -0.09817865490913391, -0.03897266462445259, 0.05250953137874603, -0.007288703229278326, -0.017379658296704292, -0.0014497876400128007, -0.018126796931028366, 0.05789044126868248, 0.01630011759698391, -0.07534283399581909, -0.07594922930002213, -0.02650671824812889, -0.02442159317433834, 0.016681646928191185, 0.0013053357833996415, -0.020610414445400238, -0.05718282610177994, -0.10508635640144348 ]
1402.0185
Gerardo Adesso
Ioannis Kogias, Sammy Ragy, Gerardo Adesso
Continuous variable versus hybrid schemes for quantum teleportation of Gaussian states
11 pages, 7 figures. Close to published version
Phys. Rev. A 89, 052324 (2014)
10.1103/PhysRevA.89.052324
null
quant-ph physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we examine and compare two fundamentally different teleportation schemes; the well-known continuous variable scheme by Vaidman, Braunstein and Kimble (VBK), and a recently proposed hybrid scheme by Andersen and Ralph (AR). We analyze the teleportation of ensembles of arbitrary pure single-mode Gaussian states using these schemes and see how they fare against the optimal measure-and-prepare strategies -- the benchmarks. In the VBK case, we allow for non-unit gain tuning and consider a class of possibly non-Gaussian resources in order to optimize performance. The results suggest that the AR scheme may likely be a more suitable candidate for beating the benchmarks in the teleportation of squeezing, capable of achieving this for moderate resources in comparison to the VBK scheme. Moreover, our quantification of resources, whereby different protocols are compared at fixed values of the entanglement entropy or the mean energy of the resource states, brings into question any advantage due to non-Gaussianity for quantum teleportation of Gaussian states.
[ { "created": "Sun, 2 Feb 2014 12:40:28 GMT", "version": "v1" }, { "created": "Wed, 7 May 2014 05:02:34 GMT", "version": "v2" }, { "created": "Wed, 28 May 2014 12:25:37 GMT", "version": "v3" } ]
2014-05-29
[ [ "Kogias", "Ioannis", "" ], [ "Ragy", "Sammy", "" ], [ "Adesso", "Gerardo", "" ] ]
[ -0.048371218144893646, 0.04766847565770149, -0.062099628150463104, 0.04331795126199722, -0.011820841580629349, 0.013869811780750751, 0.06717607378959656, -0.05141003429889679, -0.015204481780529022, -0.047094881534576416, -0.0017722980119287968, 0.0238249022513628, 0.014274908229708672, -0.027199503034353256, -0.07221731543540955, -0.0059131234884262085, 0.1853497475385666, -0.03777269646525383, -0.034842442721128464, 0.09340118616819382, -0.0022870663087815046, -0.008069587871432304, 0.0054059564135968685, -0.021496806293725967, 0.10351553559303284, -0.05241177976131439, 0.05361213907599449, -0.04214664548635483, -0.019267665222287178, -0.01339268684387207, -0.029772328212857246, -0.01762581244111061, -0.07779960334300995, -0.05391615629196167, -0.034473225474357605, 0.04033379256725311, 0.01084861345589161, -0.02761806920170784, -0.006813691463321447, 0.027508970350027084, 0.0063871764577925205, 0.029496682807803154, -0.049050845205783844, 0.08142966032028198, -0.03358163684606552, 0.07485763728618622, 0.0774172767996788, 0.00018016093235928565, -0.04047605022788048, -0.13055668771266937, -0.015451271086931229, 0.09188371151685715, 0.0026537971571087837, 0.07986313849687576, 0.04536813125014305, 0.041393257677555084, -0.04860199615359306, 0.041750334203243256, 0.02034396305680275, 0.026273373514413834, 0.006472688168287277, -0.027482895180583, 0.03158288821578026, -0.043712861835956573, 0.07314911484718323, -0.04431164264678955, 0.06747762113809586, 0.06138063967227936, 0.00410659471526742, 0.007112501654773951, -0.06499381363391876, -0.04319192096590996, -0.0659945160150528, 0.022600160911679268, 0.050962116569280624, 0.022407110780477524, -0.015491481870412827, -0.02487979084253311, 0.04760168865323067, 0.005415898747742176, -0.06706385314464569, -0.04492199420928955, -0.029633771628141403, -0.010385463014245033, 0.05112288519740105, -0.007354069035500288, -0.04893413931131363, 0.051919784396886826, 0.07065354287624359, -0.052182164043188095, 0.04449344798922539, 0.021993625909090042, 0.011134171858429909, -0.04082949459552765, 0.06498254835605621, -0.014788597822189331, -0.049029313027858734, -0.08152087032794952, 0.07008341699838638, 0.036854736506938934, 0.006825938355177641, -0.028971534222364426, 0.08459359407424927, -0.01051323115825653, -0.025640884414315224, -0.06366150826215744, 0.013670741580426693, 0.03490458428859711, -0.00015480027650482953, 0.0006013750680722296, 0.013617604039609432, 0.019273841753602028, 0.05905524268746376, -0.03952769562602043, -0.09109502285718918, 0.13418440520763397, -0.05989925563335419, 0.038427844643592834, 0.06534157693386078, 0.07368156313896179, -0.03781548887491226, -0.06890510767698288, 0.023488076403737068, 0.106537826359272, 0.028739308938384056, 0.06917712837457657, -0.014892693608999252, 1.786040606509614e-33, 0.02004670724272728, -0.01556280255317688, 0.023603715002536774, 0.028968146070837975, -0.016111183911561966, 0.0955146998167038, 0.06961219012737274, -0.05083711817860603, -0.06867513060569763, -0.009147695265710354, -0.034121520817279816, 0.004851879086345434, -0.010923035442829132, 0.03521335497498512, 0.0513300746679306, -0.0021916194818913937, -0.04927174001932144, 0.026300078257918358, -0.027000701054930687, -0.03382886201143265, 0.12648223340511322, 0.01759341172873974, -0.04221612587571144, 0.0052793193608522415, 0.01528610847890377, -0.10186156630516052, -0.004852697718888521, -0.03163912519812584, -0.03266472369432449, 0.0358947329223156, -0.1223086267709732, 0.029200807213783264, -0.025855131447315216, -0.007466924376785755, 0.032349783927202225, -0.0010432129492983222, -0.03273320198059082, 0.01110601332038641, -0.06230891868472099, -0.07474303245544434, -0.021652285009622574, 0.00465254345908761, 0.0381023995578289, -0.042601317167282104, -0.0639895349740982, -0.03618830069899559, 0.04808518663048744, 0.024976219981908798, -0.04691983014345169, -0.09255951642990112, 0.035816043615341187, -0.033142589032649994, -0.04320288822054863, 0.008081182837486267, 0.07080945372581482, -0.10855907201766968, 0.08676407486200333, 0.03874918445944786, 0.007901014760136604, 0.04453827813267708, -0.05022310093045235, 0.03860073909163475, -0.002122193807736039, 0.06802083551883698, -0.004416083917021751, 0.012345199473202229, -0.07460030913352966, -0.0040247468277812, 0.04078308865427971, 0.006801142357289791, -0.03325823321938515, 0.06578976660966873, 0.09012234956026077, -0.096591055393219, 0.04347001016139984, -0.038023293018341064, 0.029102306813001633, -0.09566381573677063, -0.03715397045016289, -0.03867361694574356, 0.03522485867142677, -0.008392314426600933, 0.00934605672955513, 0.01514108944684267, -0.014472073875367641, -0.06796053797006607, -0.10435201227664948, 0.023442450910806656, -0.0296029020100832, -0.010962899774312973, -0.038557182997465134, 0.00042475806549191475, 0.019478587433695793, -0.04812614992260933, -0.0928313210606575, -2.4905400848963353e-33, 0.007088289596140385, 0.014017465524375439, 0.0816211849451065, 0.03354004770517349, -0.013171017169952393, 0.03629849851131439, 0.01647770404815674, -0.09580284357070923, -0.04780004918575287, -0.08414694666862488, -0.05586380884051323, 0.010969779454171658, 0.08246908336877823, 0.10776825994253159, 0.04157813638448715, -0.00041718530701473355, -0.016760366037487984, -0.06015337258577347, -0.005267073400318623, -0.05735844001173973, 0.03181168809533119, -0.055988915264606476, 0.03991656377911568, -0.026982495561242104, 0.005161027889698744, 0.038805779069662094, -0.011653619818389416, 0.07935664057731628, -0.00006321980617940426, 0.025868073105812073, -0.04548834636807442, -0.09233787655830383, -0.09077682346105576, 0.03175325691699982, -0.0246236864477396, 0.07821936160326004, 0.036345843225717545, 0.14722415804862976, -0.026226738467812538, 0.03398282080888748, 0.03954935073852539, -0.0801609680056572, 0.009958943352103233, 0.01226397231221199, 0.027262207120656967, 0.01638590544462204, -0.052984774112701416, 0.01146942749619484, -0.0524556040763855, -0.0217965729534626, 0.017073240131139755, 0.10790824145078659, -0.03338458389043808, 0.07905840873718262, -0.07577836513519287, 0.02406497299671173, -0.044021010398864746, 0.06380194425582886, 0.07603467255830765, 0.01190180890262127, 0.015199810266494751, -0.07424796372652054, 0.04508006572723389, 0.01335159782320261, -0.05698510259389877, -0.04391803964972496, 0.03939315304160118, 0.03922084718942642, 0.033505767583847046, 0.0040771858766674995, -0.017368992790579796, -0.01955612376332283, 0.06607292592525482, 0.02474716119468212, 0.028145458549261093, 0.10050009191036224, 0.09169625490903854, -0.03780781850218773, -0.004630406852811575, 0.04040078446269035, -0.00147443194873631, 0.0784352570772171, -0.003965138923376799, -0.039096347987651825, 0.03720274567604065, 0.10401809960603714, 0.023151107132434845, -0.04817865043878555, 0.023550717160105705, -0.0961981937289238, -0.06120770424604416, -0.05062444135546684, 0.05506671592593193, 0.05674085021018982, 0.04085751995444298, -5.1432415659746766e-8, -0.013411088846623898, -0.014112843200564384, 0.027582745999097824, 0.0005738609470427036, 0.06351881474256516, -0.00947465281933546, -0.0014111403143033385, -0.005081339739263058, 0.01170511357486248, 0.0024832189083099365, 0.02989714778959751, -0.038023170083761215, -0.050059471279382706, 0.012412352487444878, 0.08239750564098358, -0.019950736314058304, -0.07304386049509048, -0.12749029695987701, -0.011871358379721642, -0.011688598431646824, 0.04439513385295868, -0.045022934675216675, 0.00907705444842577, -0.013116483576595783, -0.04820374399423599, 0.020771732553839684, -0.028817595914006233, 0.0005366067052818835, 0.08181256055831909, 0.010284041985869408, -0.005737513303756714, 0.0252752173691988, 0.03239618241786957, 0.0576789528131485, -0.10133381187915802, 0.053226977586746216, -0.14393658936023712, 0.04297139495611191, -0.007730664685368538, -0.02193923108279705, 0.030839595943689346, -0.03763775900006294, -0.031840600073337555, 0.028436195105314255, 0.004857222083956003, -0.013321299105882645, 0.06057078018784523, -0.06437648832798004, 0.007632163818925619, 0.0681358352303505, -0.011217639781534672, -0.004962046165019274, -0.014892317354679108, 0.04028153046965599, 0.01493032556027174, 0.043974991887807846, -0.02022761106491089, -0.08576112985610962, 0.011754119768738747, 0.014205368235707283, -0.05833498015999794, -0.023374337702989578, -0.15259012579917908, 0.030822860077023506 ]
null
null
null
null
null
null
null
[ -0.048371218144893646, 0.04766847565770149, -0.062099628150463104, 0.04331795126199722, -0.011820841580629349, 0.013869811780750751, 0.06717607378959656, -0.05141003429889679, -0.015204481780529022, -0.047094881534576416, -0.0017722980119287968, 0.0238249022513628, 0.014274908229708672, -0.027199503034353256, -0.07221731543540955, -0.0059131234884262085, 0.1853497475385666, -0.03777269646525383, -0.034842442721128464, 0.09340118616819382, -0.0022870663087815046, -0.008069587871432304, 0.0054059564135968685, -0.021496806293725967, 0.10351553559303284, -0.05241177976131439, 0.05361213907599449, -0.04214664548635483, -0.019267665222287178, -0.01339268684387207, -0.029772328212857246, -0.01762581244111061, -0.07779960334300995, -0.05391615629196167, -0.034473225474357605, 0.04033379256725311, 0.01084861345589161, -0.02761806920170784, -0.006813691463321447, 0.027508970350027084, 0.0063871764577925205, 0.029496682807803154, -0.049050845205783844, 0.08142966032028198, -0.03358163684606552, 0.07485763728618622, 0.0774172767996788, 0.00018016093235928565, -0.04047605022788048, -0.13055668771266937, -0.015451271086931229, 0.09188371151685715, 0.0026537971571087837, 0.07986313849687576, 0.04536813125014305, 0.041393257677555084, -0.04860199615359306, 0.041750334203243256, 0.02034396305680275, 0.026273373514413834, 0.006472688168287277, -0.027482895180583, 0.03158288821578026, -0.043712861835956573, 0.07314911484718323, -0.04431164264678955, 0.06747762113809586, 0.06138063967227936, 0.00410659471526742, 0.007112501654773951, -0.06499381363391876, -0.04319192096590996, -0.0659945160150528, 0.022600160911679268, 0.050962116569280624, 0.022407110780477524, -0.015491481870412827, -0.02487979084253311, 0.04760168865323067, 0.005415898747742176, -0.06706385314464569, -0.04492199420928955, -0.029633771628141403, -0.010385463014245033, 0.05112288519740105, -0.007354069035500288, -0.04893413931131363, 0.051919784396886826, 0.07065354287624359, -0.052182164043188095, 0.04449344798922539, 0.021993625909090042, 0.011134171858429909, -0.04082949459552765, 0.06498254835605621, -0.014788597822189331, -0.049029313027858734, -0.08152087032794952, 0.07008341699838638, 0.036854736506938934, 0.006825938355177641, -0.028971534222364426, 0.08459359407424927, -0.01051323115825653, -0.025640884414315224, -0.06366150826215744, 0.013670741580426693, 0.03490458428859711, -0.00015480027650482953, 0.0006013750680722296, 0.013617604039609432, 0.019273841753602028, 0.05905524268746376, -0.03952769562602043, -0.09109502285718918, 0.13418440520763397, -0.05989925563335419, 0.038427844643592834, 0.06534157693386078, 0.07368156313896179, -0.03781548887491226, -0.06890510767698288, 0.023488076403737068, 0.106537826359272, 0.028739308938384056, 0.06917712837457657, -0.014892693608999252, 1.786040606509614e-33, 0.02004670724272728, -0.01556280255317688, 0.023603715002536774, 0.028968146070837975, -0.016111183911561966, 0.0955146998167038, 0.06961219012737274, -0.05083711817860603, -0.06867513060569763, -0.009147695265710354, -0.034121520817279816, 0.004851879086345434, -0.010923035442829132, 0.03521335497498512, 0.0513300746679306, -0.0021916194818913937, -0.04927174001932144, 0.026300078257918358, -0.027000701054930687, -0.03382886201143265, 0.12648223340511322, 0.01759341172873974, -0.04221612587571144, 0.0052793193608522415, 0.01528610847890377, -0.10186156630516052, -0.004852697718888521, -0.03163912519812584, -0.03266472369432449, 0.0358947329223156, -0.1223086267709732, 0.029200807213783264, -0.025855131447315216, -0.007466924376785755, 0.032349783927202225, -0.0010432129492983222, -0.03273320198059082, 0.01110601332038641, -0.06230891868472099, -0.07474303245544434, -0.021652285009622574, 0.00465254345908761, 0.0381023995578289, -0.042601317167282104, -0.0639895349740982, -0.03618830069899559, 0.04808518663048744, 0.024976219981908798, -0.04691983014345169, -0.09255951642990112, 0.035816043615341187, -0.033142589032649994, -0.04320288822054863, 0.008081182837486267, 0.07080945372581482, -0.10855907201766968, 0.08676407486200333, 0.03874918445944786, 0.007901014760136604, 0.04453827813267708, -0.05022310093045235, 0.03860073909163475, -0.002122193807736039, 0.06802083551883698, -0.004416083917021751, 0.012345199473202229, -0.07460030913352966, -0.0040247468277812, 0.04078308865427971, 0.006801142357289791, -0.03325823321938515, 0.06578976660966873, 0.09012234956026077, -0.096591055393219, 0.04347001016139984, -0.038023293018341064, 0.029102306813001633, -0.09566381573677063, -0.03715397045016289, -0.03867361694574356, 0.03522485867142677, -0.008392314426600933, 0.00934605672955513, 0.01514108944684267, -0.014472073875367641, -0.06796053797006607, -0.10435201227664948, 0.023442450910806656, -0.0296029020100832, -0.010962899774312973, -0.038557182997465134, 0.00042475806549191475, 0.019478587433695793, -0.04812614992260933, -0.0928313210606575, -2.4905400848963353e-33, 0.007088289596140385, 0.014017465524375439, 0.0816211849451065, 0.03354004770517349, -0.013171017169952393, 0.03629849851131439, 0.01647770404815674, -0.09580284357070923, -0.04780004918575287, -0.08414694666862488, -0.05586380884051323, 0.010969779454171658, 0.08246908336877823, 0.10776825994253159, 0.04157813638448715, -0.00041718530701473355, -0.016760366037487984, -0.06015337258577347, -0.005267073400318623, -0.05735844001173973, 0.03181168809533119, -0.055988915264606476, 0.03991656377911568, -0.026982495561242104, 0.005161027889698744, 0.038805779069662094, -0.011653619818389416, 0.07935664057731628, -0.00006321980617940426, 0.025868073105812073, -0.04548834636807442, -0.09233787655830383, -0.09077682346105576, 0.03175325691699982, -0.0246236864477396, 0.07821936160326004, 0.036345843225717545, 0.14722415804862976, -0.026226738467812538, 0.03398282080888748, 0.03954935073852539, -0.0801609680056572, 0.009958943352103233, 0.01226397231221199, 0.027262207120656967, 0.01638590544462204, -0.052984774112701416, 0.01146942749619484, -0.0524556040763855, -0.0217965729534626, 0.017073240131139755, 0.10790824145078659, -0.03338458389043808, 0.07905840873718262, -0.07577836513519287, 0.02406497299671173, -0.044021010398864746, 0.06380194425582886, 0.07603467255830765, 0.01190180890262127, 0.015199810266494751, -0.07424796372652054, 0.04508006572723389, 0.01335159782320261, -0.05698510259389877, -0.04391803964972496, 0.03939315304160118, 0.03922084718942642, 0.033505767583847046, 0.0040771858766674995, -0.017368992790579796, -0.01955612376332283, 0.06607292592525482, 0.02474716119468212, 0.028145458549261093, 0.10050009191036224, 0.09169625490903854, -0.03780781850218773, -0.004630406852811575, 0.04040078446269035, -0.00147443194873631, 0.0784352570772171, -0.003965138923376799, -0.039096347987651825, 0.03720274567604065, 0.10401809960603714, 0.023151107132434845, -0.04817865043878555, 0.023550717160105705, -0.0961981937289238, -0.06120770424604416, -0.05062444135546684, 0.05506671592593193, 0.05674085021018982, 0.04085751995444298, -5.1432415659746766e-8, -0.013411088846623898, -0.014112843200564384, 0.027582745999097824, 0.0005738609470427036, 0.06351881474256516, -0.00947465281933546, -0.0014111403143033385, -0.005081339739263058, 0.01170511357486248, 0.0024832189083099365, 0.02989714778959751, -0.038023170083761215, -0.050059471279382706, 0.012412352487444878, 0.08239750564098358, -0.019950736314058304, -0.07304386049509048, -0.12749029695987701, -0.011871358379721642, -0.011688598431646824, 0.04439513385295868, -0.045022934675216675, 0.00907705444842577, -0.013116483576595783, -0.04820374399423599, 0.020771732553839684, -0.028817595914006233, 0.0005366067052818835, 0.08181256055831909, 0.010284041985869408, -0.005737513303756714, 0.0252752173691988, 0.03239618241786957, 0.0576789528131485, -0.10133381187915802, 0.053226977586746216, -0.14393658936023712, 0.04297139495611191, -0.007730664685368538, -0.02193923108279705, 0.030839595943689346, -0.03763775900006294, -0.031840600073337555, 0.028436195105314255, 0.004857222083956003, -0.013321299105882645, 0.06057078018784523, -0.06437648832798004, 0.007632163818925619, 0.0681358352303505, -0.011217639781534672, -0.004962046165019274, -0.014892317354679108, 0.04028153046965599, 0.01493032556027174, 0.043974991887807846, -0.02022761106491089, -0.08576112985610962, 0.011754119768738747, 0.014205368235707283, -0.05833498015999794, -0.023374337702989578, -0.15259012579917908, 0.030822860077023506 ]
1402.0197
Carlos Gershenson
Dario Zubillaga, Geovany Cruz, Luis Daniel Aguilar, Jorge Zapotecatl, Nelson Fernandez, Jose Aguilar, David A. Rosenblueth, Carlos Gershenson
Measuring the Complexity of Self-organizing Traffic Lights
18 pages, 11 figures
Entropy, 16(5):2384-2407. 2014
10.3390/e16052384
null
nlin.AO cs.IT cs.SY math.IT nlin.CG physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply measures of complexity, emergence and self-organization to an abstract city traffic model for comparing a traditional traffic coordination method with a self-organizing method in two scenarios: cyclic boundaries and non-orientable boundaries. We show that the measures are useful to identify and characterize different dynamical phases. It becomes clear that different operation regimes are required for different traffic demands. Thus, not only traffic is a non-stationary problem, which requires controllers to adapt constantly. Controllers must also change drastically the complexity of their behavior depending on the demand. Based on our measures, we can say that the self-organizing method achieves an adaptability level comparable to a living system.
[ { "created": "Sun, 2 Feb 2014 14:44:59 GMT", "version": "v1" } ]
2016-04-01
[ [ "Zubillaga", "Dario", "" ], [ "Cruz", "Geovany", "" ], [ "Aguilar", "Luis Daniel", "" ], [ "Zapotecatl", "Jorge", "" ], [ "Fernandez", "Nelson", "" ], [ "Aguilar", "Jose", "" ], [ "Rosenblueth", "David A.", "" ], [ "Gershenson", "Carlos", "" ] ]
[ 0.09948618710041046, -0.08267839252948761, -0.06654685735702515, -0.0204395093023777, -0.032536834478378296, -0.014057710766792297, -0.015874769538640976, 0.005993272643536329, 0.015265652909874916, 0.03122114948928356, -0.04015778750181198, -0.015979792922735214, -0.039582375437021255, 0.04544158652424812, 0.0020084772258996964, -0.03826073557138443, 0.03848477825522423, -0.04392114654183388, -0.0011365683749318123, -0.033974066376686096, 0.07539121806621552, -0.05675864592194557, -0.015153641812503338, 0.03206648677587509, -0.08479443937540054, 0.04286904260516167, -0.02099541574716568, 0.01608981192111969, 0.05336173251271248, -0.0498773530125618, -0.012408675625920296, 0.04131628945469856, 0.028800223022699356, 0.010376806370913982, -0.02367129921913147, -0.025785483419895172, 0.015527397394180298, -0.01704386994242668, -0.016770781949162483, 0.021481264382600784, 0.07157017290592194, -0.004596313927322626, 0.0057909139432013035, -0.03552247956395149, 0.04360305890440941, 0.01138641033321619, 0.007785771507769823, 0.032900772988796234, 0.0026697928551584482, -0.1058582291007042, 0.03772370144724846, 0.039722930639982224, 0.02356981672346592, 0.006473672576248646, 0.03519889712333679, 0.05940334498882294, 0.007428462151437998, 0.056154292076826096, -0.025980617851018906, -0.04187649488449097, 0.027541793882846832, -0.021969975903630257, 0.04986348748207092, 0.06145164370536804, 0.03804207965731621, 0.06586991250514984, 0.03276908025145531, 0.09021534025669098, 0.04617713391780853, -0.0016926579410210252, 0.0047960225492715836, 0.009396323934197426, -0.06215004250407219, 0.012812403962016106, 0.1404716819524765, -0.0678567960858345, 0.002985904924571514, 0.04496127739548683, -0.04140065982937813, -0.04694613441824913, -0.03527753800153732, 0.004744758363813162, -0.025131935253739357, 0.08467146009206772, -0.01391803752630949, -0.04651010036468506, -0.05114785209298134, -0.017968809232115746, 0.11115387827157974, -0.020732488483190536, -0.08540194481611252, 0.08804528415203094, 0.013908948749303818, -0.13511617481708527, 0.00197475403547287, 0.0496249683201313, 0.04610516130924225, -0.05348106101155281, 0.029137499630451202, -0.0032096882350742817, -0.04989141970872879, -0.02502308413386345, 0.011012060567736626, 0.013819810003042221, 0.11485687643289566, 0.03649039566516876, 0.007245942484587431, -0.05009276792407036, -0.011819669976830482, 0.03701530024409294, 0.05776844918727875, -0.04271225258708, 0.038540247827768326, -0.05849859118461609, -0.02931775152683258, 0.021706443279981613, 0.015611895360052586, 0.023337440565228462, -0.019295059144496918, 0.017981087788939476, 0.00897117331624031, -0.0853029265999794, 0.00017057859804481268, 0.03112408146262169, 0.046853553503751755, 0.02823673188686371, 0.03438662365078926, -1.6399327198451503e-33, -0.08246546983718872, -0.00732354586943984, -0.001979722874239087, 0.043760109692811966, -0.019253164529800415, -0.025707663968205452, 0.00039192638359963894, -0.033727411180734634, 0.07290041446685791, -0.05944894626736641, -0.024739103391766548, 0.100687175989151, 0.04564119502902031, -0.011743424460291862, 0.1327638179063797, 0.0006426252075470984, -0.043125323951244354, -0.02609402686357498, 0.05739675834774971, -0.08852750808000565, 0.02463413029909134, 0.040451157838106155, -0.035104356706142426, -0.0887436494231224, 0.002384848427027464, 0.019396713003516197, 0.008174396120011806, -0.017182564362883568, -0.009580452926456928, 0.005841282662004232, 0.028795791789889336, 0.10709797590970993, -0.06371138989925385, 0.09616468846797943, 0.06600260734558105, 0.07968495786190033, -0.06898356974124908, 0.030303753912448883, 0.04339437931776047, 0.03761965408921242, -0.08951567858457565, -0.09094022214412689, -0.048354290425777435, -0.027470096945762634, -0.01441750954836607, -0.031258732080459595, 0.06003003194928169, 0.013300162740051746, -0.016328271478414536, -0.04002643749117851, 0.012225806713104248, 0.009380290284752846, 0.026505881920456886, -0.058121584355831146, -0.061336129903793335, 0.006021149456501007, -0.01508505642414093, 0.030988778918981552, 0.03838037699460983, 0.15156833827495575, -0.0451744869351387, -0.0369713120162487, -0.05293276533484459, 0.10107339173555374, 0.12643499672412872, -0.014506963081657887, -0.005321046803146601, 0.002208417048677802, 0.10804278403520584, -0.06819891929626465, 0.05424405261874199, 0.03009798191487789, -0.055662769824266434, 0.008876042440533638, 0.04626128450036049, -0.026349930092692375, 0.007065916433930397, -0.013755915686488152, -0.10703689604997635, -0.007739514112472534, -0.0205587949603796, -0.001456368830986321, -0.012629620730876923, -0.05708147957921028, 0.10389736294746399, -0.04591286927461624, 0.06961654126644135, 0.011520547792315483, -0.08846656233072281, 0.004586535040289164, -0.06017111986875534, 0.029544390738010406, 0.10758143663406372, 0.08605661988258362, 0.05306282266974449, -7.940819743174684e-34, 0.0345010980963707, -0.013551771640777588, 0.0197221040725708, 0.02264920249581337, 0.03993089124560356, -0.00843797530978918, -0.03642954304814339, 0.0038427880499511957, 0.05114364996552467, 0.0130489906296134, -0.10557039827108383, 0.06711571663618088, 0.09516523778438568, -0.018498960882425308, -0.022756429389119148, -0.050013575702905655, 0.0060404581017792225, -0.032594263553619385, -0.026406532153487206, -0.04054441675543785, -0.07622276991605759, -0.08133742958307266, -0.07095187157392502, -0.06698188185691833, -0.03348032385110855, 0.03851999342441559, -0.1247292011976242, -0.01365600898861885, -0.04399573430418968, 0.09262646734714508, -0.08146728575229645, -0.07877317070960999, -0.0011145751923322678, 0.002522221300750971, 0.040618911385536194, 0.10874043405056, -0.03375783935189247, -0.0012251674197614193, 0.03463221341371536, 0.004400239791721106, -0.08909846097230911, -0.07077087461948395, -0.007457280997186899, -0.04231845214962959, 0.05611017346382141, -0.03624169901013374, -0.06528905779123306, 0.06181691959500313, -0.09009839594364166, 0.04111316427588463, -0.008323785848915577, 0.06562913209199905, -0.08159440755844116, -0.01886121742427349, 0.014605049043893814, 0.15831607580184937, 0.06524661183357239, 0.07132631540298462, 0.007617173250764608, -0.0010846239747479558, 0.015097209252417088, -0.01381609681993723, -0.054982539266347885, 0.06912561506032944, -0.046935662627220154, -0.06766672432422638, 0.03748640790581703, -0.10949493199586868, 0.02769034542143345, -0.0015436909161508083, 0.013651976361870766, 0.022326013073325157, -0.03154570609331131, -0.04429981857538223, -0.00616174191236496, -0.06413450092077255, 0.05264854431152344, 0.0421164371073246, -0.014248479157686234, -0.028598900884389877, -0.07559611648321152, 0.023747796192765236, 0.011599444784224033, 0.003659112611785531, -0.04344223067164421, -0.0006737011135555804, 0.05169573426246643, -0.008111700415611267, -0.006898568477481604, 0.07031698524951935, 0.043325044214725494, -0.020595574751496315, -0.022787386551499367, 0.03758523240685463, -0.04725098982453346, -4.113223184276649e-8, -0.034375112503767014, -0.0163863655179739, 0.06878423690795898, -0.010192821733653545, 0.0819057747721672, 0.00862627662718296, 0.06800065189599991, -0.044752370566129684, -0.11839345097541809, 0.08126967400312424, 0.033015452325344086, 0.07609420269727707, -0.0642920732498169, 0.08046575635671616, -0.054300807416439056, 0.005744833033531904, -0.014888601377606392, -0.000872962991707027, -0.0875396728515625, -0.011819208040833473, -0.006837019696831703, -0.04821062833070755, -0.09585053473711014, -0.026891019195318222, 0.009029506705701351, -0.04272038862109184, -0.022043881937861443, -0.03447001054883003, -0.02155153453350067, 0.046441700309515, 0.01744852215051651, 0.042031437158584595, -0.04667234793305397, 0.06401417404413223, -0.03560143709182739, -0.02682933583855629, -0.0005590365035459399, 0.0465608574450016, -0.020472409203648567, -0.08306463807821274, 0.023075278848409653, 0.0845627710223198, -0.01590767130255699, 0.037037476897239685, 0.08309654146432877, -0.014497089199721813, -0.029048969969153404, -0.02200775407254696, 0.0126228928565979, -0.06359205394983292, 0.027998702600598335, -0.03729915991425514, -0.07592954486608505, 0.004872671328485012, 0.039948392659425735, -0.04861469566822052, -0.015075392089784145, -0.010604439303278923, 0.044068437069654465, 0.028613565489649773, -0.021039407700300217, 0.052192047238349915, 0.0238550566136837, -0.014695720747113228 ]
null
null
null
null
null
null
null
[ 0.09948618710041046, -0.08267839252948761, -0.06654685735702515, -0.0204395093023777, -0.032536834478378296, -0.014057710766792297, -0.015874769538640976, 0.005993272643536329, 0.015265652909874916, 0.03122114948928356, -0.04015778750181198, -0.015979792922735214, -0.039582375437021255, 0.04544158652424812, 0.0020084772258996964, -0.03826073557138443, 0.03848477825522423, -0.04392114654183388, -0.0011365683749318123, -0.033974066376686096, 0.07539121806621552, -0.05675864592194557, -0.015153641812503338, 0.03206648677587509, -0.08479443937540054, 0.04286904260516167, -0.02099541574716568, 0.01608981192111969, 0.05336173251271248, -0.0498773530125618, -0.012408675625920296, 0.04131628945469856, 0.028800223022699356, 0.010376806370913982, -0.02367129921913147, -0.025785483419895172, 0.015527397394180298, -0.01704386994242668, -0.016770781949162483, 0.021481264382600784, 0.07157017290592194, -0.004596313927322626, 0.0057909139432013035, -0.03552247956395149, 0.04360305890440941, 0.01138641033321619, 0.007785771507769823, 0.032900772988796234, 0.0026697928551584482, -0.1058582291007042, 0.03772370144724846, 0.039722930639982224, 0.02356981672346592, 0.006473672576248646, 0.03519889712333679, 0.05940334498882294, 0.007428462151437998, 0.056154292076826096, -0.025980617851018906, -0.04187649488449097, 0.027541793882846832, -0.021969975903630257, 0.04986348748207092, 0.06145164370536804, 0.03804207965731621, 0.06586991250514984, 0.03276908025145531, 0.09021534025669098, 0.04617713391780853, -0.0016926579410210252, 0.0047960225492715836, 0.009396323934197426, -0.06215004250407219, 0.012812403962016106, 0.1404716819524765, -0.0678567960858345, 0.002985904924571514, 0.04496127739548683, -0.04140065982937813, -0.04694613441824913, -0.03527753800153732, 0.004744758363813162, -0.025131935253739357, 0.08467146009206772, -0.01391803752630949, -0.04651010036468506, -0.05114785209298134, -0.017968809232115746, 0.11115387827157974, -0.020732488483190536, -0.08540194481611252, 0.08804528415203094, 0.013908948749303818, -0.13511617481708527, 0.00197475403547287, 0.0496249683201313, 0.04610516130924225, -0.05348106101155281, 0.029137499630451202, -0.0032096882350742817, -0.04989141970872879, -0.02502308413386345, 0.011012060567736626, 0.013819810003042221, 0.11485687643289566, 0.03649039566516876, 0.007245942484587431, -0.05009276792407036, -0.011819669976830482, 0.03701530024409294, 0.05776844918727875, -0.04271225258708, 0.038540247827768326, -0.05849859118461609, -0.02931775152683258, 0.021706443279981613, 0.015611895360052586, 0.023337440565228462, -0.019295059144496918, 0.017981087788939476, 0.00897117331624031, -0.0853029265999794, 0.00017057859804481268, 0.03112408146262169, 0.046853553503751755, 0.02823673188686371, 0.03438662365078926, -1.6399327198451503e-33, -0.08246546983718872, -0.00732354586943984, -0.001979722874239087, 0.043760109692811966, -0.019253164529800415, -0.025707663968205452, 0.00039192638359963894, -0.033727411180734634, 0.07290041446685791, -0.05944894626736641, -0.024739103391766548, 0.100687175989151, 0.04564119502902031, -0.011743424460291862, 0.1327638179063797, 0.0006426252075470984, -0.043125323951244354, -0.02609402686357498, 0.05739675834774971, -0.08852750808000565, 0.02463413029909134, 0.040451157838106155, -0.035104356706142426, -0.0887436494231224, 0.002384848427027464, 0.019396713003516197, 0.008174396120011806, -0.017182564362883568, -0.009580452926456928, 0.005841282662004232, 0.028795791789889336, 0.10709797590970993, -0.06371138989925385, 0.09616468846797943, 0.06600260734558105, 0.07968495786190033, -0.06898356974124908, 0.030303753912448883, 0.04339437931776047, 0.03761965408921242, -0.08951567858457565, -0.09094022214412689, -0.048354290425777435, -0.027470096945762634, -0.01441750954836607, -0.031258732080459595, 0.06003003194928169, 0.013300162740051746, -0.016328271478414536, -0.04002643749117851, 0.012225806713104248, 0.009380290284752846, 0.026505881920456886, -0.058121584355831146, -0.061336129903793335, 0.006021149456501007, -0.01508505642414093, 0.030988778918981552, 0.03838037699460983, 0.15156833827495575, -0.0451744869351387, -0.0369713120162487, -0.05293276533484459, 0.10107339173555374, 0.12643499672412872, -0.014506963081657887, -0.005321046803146601, 0.002208417048677802, 0.10804278403520584, -0.06819891929626465, 0.05424405261874199, 0.03009798191487789, -0.055662769824266434, 0.008876042440533638, 0.04626128450036049, -0.026349930092692375, 0.007065916433930397, -0.013755915686488152, -0.10703689604997635, -0.007739514112472534, -0.0205587949603796, -0.001456368830986321, -0.012629620730876923, -0.05708147957921028, 0.10389736294746399, -0.04591286927461624, 0.06961654126644135, 0.011520547792315483, -0.08846656233072281, 0.004586535040289164, -0.06017111986875534, 0.029544390738010406, 0.10758143663406372, 0.08605661988258362, 0.05306282266974449, -7.940819743174684e-34, 0.0345010980963707, -0.013551771640777588, 0.0197221040725708, 0.02264920249581337, 0.03993089124560356, -0.00843797530978918, -0.03642954304814339, 0.0038427880499511957, 0.05114364996552467, 0.0130489906296134, -0.10557039827108383, 0.06711571663618088, 0.09516523778438568, -0.018498960882425308, -0.022756429389119148, -0.050013575702905655, 0.0060404581017792225, -0.032594263553619385, -0.026406532153487206, -0.04054441675543785, -0.07622276991605759, -0.08133742958307266, -0.07095187157392502, -0.06698188185691833, -0.03348032385110855, 0.03851999342441559, -0.1247292011976242, -0.01365600898861885, -0.04399573430418968, 0.09262646734714508, -0.08146728575229645, -0.07877317070960999, -0.0011145751923322678, 0.002522221300750971, 0.040618911385536194, 0.10874043405056, -0.03375783935189247, -0.0012251674197614193, 0.03463221341371536, 0.004400239791721106, -0.08909846097230911, -0.07077087461948395, -0.007457280997186899, -0.04231845214962959, 0.05611017346382141, -0.03624169901013374, -0.06528905779123306, 0.06181691959500313, -0.09009839594364166, 0.04111316427588463, -0.008323785848915577, 0.06562913209199905, -0.08159440755844116, -0.01886121742427349, 0.014605049043893814, 0.15831607580184937, 0.06524661183357239, 0.07132631540298462, 0.007617173250764608, -0.0010846239747479558, 0.015097209252417088, -0.01381609681993723, -0.054982539266347885, 0.06912561506032944, -0.046935662627220154, -0.06766672432422638, 0.03748640790581703, -0.10949493199586868, 0.02769034542143345, -0.0015436909161508083, 0.013651976361870766, 0.022326013073325157, -0.03154570609331131, -0.04429981857538223, -0.00616174191236496, -0.06413450092077255, 0.05264854431152344, 0.0421164371073246, -0.014248479157686234, -0.028598900884389877, -0.07559611648321152, 0.023747796192765236, 0.011599444784224033, 0.003659112611785531, -0.04344223067164421, -0.0006737011135555804, 0.05169573426246643, -0.008111700415611267, -0.006898568477481604, 0.07031698524951935, 0.043325044214725494, -0.020595574751496315, -0.022787386551499367, 0.03758523240685463, -0.04725098982453346, -4.113223184276649e-8, -0.034375112503767014, -0.0163863655179739, 0.06878423690795898, -0.010192821733653545, 0.0819057747721672, 0.00862627662718296, 0.06800065189599991, -0.044752370566129684, -0.11839345097541809, 0.08126967400312424, 0.033015452325344086, 0.07609420269727707, -0.0642920732498169, 0.08046575635671616, -0.054300807416439056, 0.005744833033531904, -0.014888601377606392, -0.000872962991707027, -0.0875396728515625, -0.011819208040833473, -0.006837019696831703, -0.04821062833070755, -0.09585053473711014, -0.026891019195318222, 0.009029506705701351, -0.04272038862109184, -0.022043881937861443, -0.03447001054883003, -0.02155153453350067, 0.046441700309515, 0.01744852215051651, 0.042031437158584595, -0.04667234793305397, 0.06401417404413223, -0.03560143709182739, -0.02682933583855629, -0.0005590365035459399, 0.0465608574450016, -0.020472409203648567, -0.08306463807821274, 0.023075278848409653, 0.0845627710223198, -0.01590767130255699, 0.037037476897239685, 0.08309654146432877, -0.014497089199721813, -0.029048969969153404, -0.02200775407254696, 0.0126228928565979, -0.06359205394983292, 0.027998702600598335, -0.03729915991425514, -0.07592954486608505, 0.004872671328485012, 0.039948392659425735, -0.04861469566822052, -0.015075392089784145, -0.010604439303278923, 0.044068437069654465, 0.028613565489649773, -0.021039407700300217, 0.052192047238349915, 0.0238550566136837, -0.014695720747113228 ]
1402.0200
David Coyle Dr
Alison Burrows, Rachel Gooberman-Hill, Ian Craddock and David Coyle
SPHERE: Meaningful and Inclusive Sensor-Based Home Healthcare
Presented at the ACM CSCW 2014 workshop on Designing with Users for Domestic environments: Methods, Challenges, Lessons Learned
null
null
null
cs.HC cs.CY
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given current demographic and health trends, and their economic implications, home healthcare technology has become a fertile area for research and development. Motivated by the need for a radical reform of healthcare provision, SPHERE is a large-scale Interdisciplinary Research Collaboration that aims to develop home sensor systems to monitor people's health and wellbeing in the home. This paper outlines the unique circumstances of designing healthcare technology for the home environment, with a particular focus on how to ensure future systems are meaningful to and desirable for the intended users.
[ { "created": "Sun, 2 Feb 2014 15:15:30 GMT", "version": "v1" } ]
2014-02-04
[ [ "Burrows", "Alison", "" ], [ "Gooberman-Hill", "Rachel", "" ], [ "Craddock", "Ian", "" ], [ "Coyle", "David", "" ] ]
[ 0.027561675757169724, 0.049750082194805145, 0.03298414871096611, -0.08542825281620026, 0.10695944726467133, 0.002306691836565733, 0.03982389345765114, 0.03312744200229645, -0.03212817385792732, -0.00905382726341486, -0.07793623954057693, 0.02902807667851448, 0.03916944935917854, -0.021162474527955055, 0.0020894932094961405, -0.11866005510091782, 0.04923157021403313, -0.05887634679675102, -0.0067606582306325436, 0.027129752561450005, -0.042318277060985565, 0.08966594934463501, 0.05555953085422516, 0.06208927184343338, -0.025887278839945793, 0.05538339167833328, 0.06898067891597748, -0.07597225904464722, -0.0818936824798584, 0.05184892192482948, 0.0810677781701088, -0.012270193547010422, 0.05437268689274788, -0.02465343289077282, -0.08079557865858078, -0.05162420868873596, 0.07791102677583694, -0.05175456032156944, -0.0591774545609951, -0.05310401692986488, -0.021630965173244476, -0.09041385352611542, 0.05191468447446823, 0.08319909125566483, 0.042528603225946426, 0.05358326807618141, -0.026994755491614342, -0.043956346809864044, 0.04423036053776741, 0.040415599942207336, -0.057588156312704086, -0.06142368167638779, 0.040913037955760956, 0.023556401953101158, -0.0020615325774997473, 0.04259549081325531, -0.058991581201553345, -0.02155144140124321, -0.03515906631946564, -0.07382769137620926, 0.11915695667266846, -0.03089250437915325, 0.017209207639098167, 0.033291641622781754, 0.04072006791830063, -0.011724255047738552, -0.005195615813136101, 0.016058923676609993, 0.061112772673368454, -0.08599600195884705, -0.08061124384403229, 0.015269662253558636, 0.034355662763118744, 0.008067834191024303, 0.014159268699586391, -0.03254399448633194, -0.03976060822606087, -0.040223728865385056, 0.04860066622495651, -0.01262785866856575, 0.026695894077420235, 0.020400632172822952, -0.000850373413413763, 0.09125330299139023, -0.005392579361796379, 0.026620017364621162, -0.011616521514952183, 0.03457232192158699, -0.03863377869129181, -0.0795564278960228, -0.026538385078310966, -0.08483130484819412, 0.008514534682035446, -0.044406160712242126, -0.02709979936480522, -0.028343580663204193, -0.05749908462166786, -0.0565340518951416, 0.025824498385190964, 0.04855319857597351, -0.04818043112754822, -0.030031342059373856, 0.044097863137722015, 0.07320467382669449, 0.045085180550813675, -0.0469968318939209, -0.05282789468765259, 0.04906522482633591, 0.03132696822285652, 0.026780176907777786, -0.03302491828799248, -0.048571135848760605, 0.038902509957551956, -0.017812980338931084, 0.038660816848278046, -0.017451010644435883, 0.023733867332339287, -0.019519396126270294, 0.08568760752677917, 0.008880243636667728, 0.018695540726184845, -0.085808664560318, -0.019503716379404068, -0.09329482167959213, 0.10643276572227478, 0.07803323864936829, 0.012360837310552597, -2.3697984479676548e-33, -0.04808878153562546, 0.076392762362957, 0.10845822095870972, 0.04845947027206421, -0.046866584569215775, 0.029352180659770966, -0.0832226425409317, 0.004359749611467123, 0.06146559119224548, 0.020271755754947662, 0.0014901745598763227, 0.05629197135567665, -0.01173962652683258, 0.06193196028470993, 0.05507228896021843, -0.019673625007271767, -0.04046427085995674, 0.020712709054350853, 0.03534146770834923, -0.00479599554091692, -0.05338297784328461, -0.06877537071704865, -0.04785015806555748, 0.13520435988903046, 0.02427840605378151, -0.0013420113828033209, 0.04938798397779465, 0.05024903267621994, 0.03845231980085373, -0.0325152613222599, 0.05175831541419029, 0.029772385954856873, 0.032149285078048706, -0.08435489237308502, -0.04772835969924927, -0.01831868290901184, -0.033267486840486526, -0.033802274614572525, 0.004384571220725775, -0.08692483603954315, 0.006574676372110844, 0.01443575695157051, 0.052470963448286057, 0.00794470775872469, 0.05369852855801582, -0.0013263855362311006, -0.03775037080049515, 0.03498641401529312, -0.02801460586488247, 0.01418727170675993, -0.00717728678137064, 0.00387000385671854, 0.0008162164012901485, 0.0349939689040184, -0.01792391948401928, -0.01279908325523138, -0.02486150525510311, -0.0729927346110344, 0.029289161786437035, 0.031422436237335205, -0.0034359025303274393, -0.05085289850831032, 0.022280635312199593, -0.06605587899684906, 0.058133985847234726, -0.014491837471723557, 0.11481990665197372, 0.01235269010066986, -0.02557859569787979, 0.0647181048989296, 0.006615692749619484, -0.010128150694072247, -0.016888804733753204, -0.019016025587916374, -0.028967613354325294, 0.043961670249700546, -0.01058569923043251, -0.040313512086868286, -0.044978849589824677, -0.011713895946741104, -0.021759118884801865, 0.04397331923246384, 0.05892597511410713, 0.04300861805677414, 0.08112171292304993, -0.04087165370583534, -0.07359011471271515, -0.011755612678825855, -0.11070291697978973, 0.0566629022359848, -0.02229813113808632, 0.040974073112010956, 0.03445415571331978, 0.07814411073923111, -0.040597811341285706, 7.497014146909133e-34, -0.06176816672086716, -0.030944975093007088, -0.07960683852434158, 0.00394921051338315, 0.07264771312475204, -0.11133334040641785, -0.024190621450543404, -0.04060642793774605, 0.020530324429273605, 0.10790401697158813, 0.07486184686422348, -0.04309845715761185, 0.11015941202640533, 0.02025444246828556, 0.01448953989893198, 0.06368054449558258, -0.017649557441473007, -0.12105733156204224, -0.034763798117637634, 0.09890865534543991, -0.008461687713861465, 0.04243103787302971, -0.07338739186525345, -0.02811655029654503, -0.0126113910228014, 0.04909256473183632, -0.013950715772807598, 0.0046579428017139435, 0.013921720907092094, -0.05184805393218994, -0.09242440015077591, -0.1121109202504158, 0.01813914254307747, -0.007321306504309177, 0.01346074789762497, -0.06262292712926865, 0.0274286400526762, -0.05367712303996086, -0.10889746993780136, -0.0349162295460701, 0.07092835754156113, -0.061184611171483994, -0.06539412587881088, -0.04461062327027321, -0.010203542187809944, 0.03223896771669388, -0.053132932633161545, 0.07434680312871933, -0.058845363557338715, 0.028434107080101967, 0.08602894842624664, 0.043382033705711365, -0.037244513630867004, -0.029614821076393127, -0.008084791712462902, 0.00737716956064105, 0.03977680578827858, -0.00759348226711154, 0.044286444783210754, 0.05993339791893959, -0.018070969730615616, -0.025321142747998238, -0.06746968626976013, 0.06246348097920418, -0.04191115126013756, 0.049763936549425125, 0.02793993428349495, 0.06532317399978638, -0.0466812364757061, 0.03588154539465904, -0.04442736506462097, -0.009130834601819515, 0.048119861632585526, -0.03879454359412193, 0.01976277120411396, -0.049265868961811066, -0.02576250024139881, -0.026041073724627495, -0.03107832744717598, -0.000818192376755178, 0.013099848292768002, -0.08536989241838455, 0.04941132664680481, 0.025356408208608627, 0.05745893716812134, -0.08873959630727768, -0.07755967229604721, 0.011167945340275764, -0.06510282307863235, 0.03835444897413254, -0.07608597725629807, 0.044522255659103394, -0.08757025003433228, 0.06658869236707687, -0.0633222907781601, -4.1717854060152604e-8, 0.0024242852814495564, -0.025634733960032463, 0.05739958584308624, -0.03688502684235573, -0.09248797595500946, -0.025686658918857574, 0.023455968126654625, 0.03524674102663994, -0.016879025846719742, 0.045845575630664825, -0.030047886073589325, -0.021736089140176773, -0.006654312368482351, 0.039293646812438965, 0.06302468478679657, 0.019361598417162895, -0.0023817771580070257, 0.06464935094118118, -0.06522895395755768, 0.016733039170503616, 0.07499046623706818, -0.007136998698115349, 0.00011053997877752408, 0.04081210866570473, 0.04342830181121826, -0.004772798158228397, -0.004996743518859148, -0.0010354329133406281, 0.03299617022275925, 0.000055610467825317755, 0.01149417832493782, 0.008491438813507557, 0.04796700179576874, 0.08543134480714798, -0.07487528771162033, -0.02566484920680523, -0.028800176456570625, -0.026393413543701172, 0.03386843949556351, -0.004485873505473137, -0.030453454703092575, -0.010815389454364777, -0.17810595035552979, -0.008631566539406776, -0.018908502534031868, -0.07623365521430969, 0.10123592615127563, -0.031668320298194885, -0.044774241745471954, 0.03912655636668205, -0.05014517530798912, -0.0311552956700325, 0.10666865110397339, 0.009741160087287426, 0.04325779527425766, 0.03430885821580887, 0.10159710049629211, -0.044916920363903046, 0.042876314371824265, 0.05224079266190529, 0.02238702028989792, 0.0044815922155976295, -0.05096864700317383, 0.054110679775476456 ]
null
null
null
null
null
null
null
[ 0.027561675757169724, 0.049750082194805145, 0.03298414871096611, -0.08542825281620026, 0.10695944726467133, 0.002306691836565733, 0.03982389345765114, 0.03312744200229645, -0.03212817385792732, -0.00905382726341486, -0.07793623954057693, 0.02902807667851448, 0.03916944935917854, -0.021162474527955055, 0.0020894932094961405, -0.11866005510091782, 0.04923157021403313, -0.05887634679675102, -0.0067606582306325436, 0.027129752561450005, -0.042318277060985565, 0.08966594934463501, 0.05555953085422516, 0.06208927184343338, -0.025887278839945793, 0.05538339167833328, 0.06898067891597748, -0.07597225904464722, -0.0818936824798584, 0.05184892192482948, 0.0810677781701088, -0.012270193547010422, 0.05437268689274788, -0.02465343289077282, -0.08079557865858078, -0.05162420868873596, 0.07791102677583694, -0.05175456032156944, -0.0591774545609951, -0.05310401692986488, -0.021630965173244476, -0.09041385352611542, 0.05191468447446823, 0.08319909125566483, 0.042528603225946426, 0.05358326807618141, -0.026994755491614342, -0.043956346809864044, 0.04423036053776741, 0.040415599942207336, -0.057588156312704086, -0.06142368167638779, 0.040913037955760956, 0.023556401953101158, -0.0020615325774997473, 0.04259549081325531, -0.058991581201553345, -0.02155144140124321, -0.03515906631946564, -0.07382769137620926, 0.11915695667266846, -0.03089250437915325, 0.017209207639098167, 0.033291641622781754, 0.04072006791830063, -0.011724255047738552, -0.005195615813136101, 0.016058923676609993, 0.061112772673368454, -0.08599600195884705, -0.08061124384403229, 0.015269662253558636, 0.034355662763118744, 0.008067834191024303, 0.014159268699586391, -0.03254399448633194, -0.03976060822606087, -0.040223728865385056, 0.04860066622495651, -0.01262785866856575, 0.026695894077420235, 0.020400632172822952, -0.000850373413413763, 0.09125330299139023, -0.005392579361796379, 0.026620017364621162, -0.011616521514952183, 0.03457232192158699, -0.03863377869129181, -0.0795564278960228, -0.026538385078310966, -0.08483130484819412, 0.008514534682035446, -0.044406160712242126, -0.02709979936480522, -0.028343580663204193, -0.05749908462166786, -0.0565340518951416, 0.025824498385190964, 0.04855319857597351, -0.04818043112754822, -0.030031342059373856, 0.044097863137722015, 0.07320467382669449, 0.045085180550813675, -0.0469968318939209, -0.05282789468765259, 0.04906522482633591, 0.03132696822285652, 0.026780176907777786, -0.03302491828799248, -0.048571135848760605, 0.038902509957551956, -0.017812980338931084, 0.038660816848278046, -0.017451010644435883, 0.023733867332339287, -0.019519396126270294, 0.08568760752677917, 0.008880243636667728, 0.018695540726184845, -0.085808664560318, -0.019503716379404068, -0.09329482167959213, 0.10643276572227478, 0.07803323864936829, 0.012360837310552597, -2.3697984479676548e-33, -0.04808878153562546, 0.076392762362957, 0.10845822095870972, 0.04845947027206421, -0.046866584569215775, 0.029352180659770966, -0.0832226425409317, 0.004359749611467123, 0.06146559119224548, 0.020271755754947662, 0.0014901745598763227, 0.05629197135567665, -0.01173962652683258, 0.06193196028470993, 0.05507228896021843, -0.019673625007271767, -0.04046427085995674, 0.020712709054350853, 0.03534146770834923, -0.00479599554091692, -0.05338297784328461, -0.06877537071704865, -0.04785015806555748, 0.13520435988903046, 0.02427840605378151, -0.0013420113828033209, 0.04938798397779465, 0.05024903267621994, 0.03845231980085373, -0.0325152613222599, 0.05175831541419029, 0.029772385954856873, 0.032149285078048706, -0.08435489237308502, -0.04772835969924927, -0.01831868290901184, -0.033267486840486526, -0.033802274614572525, 0.004384571220725775, -0.08692483603954315, 0.006574676372110844, 0.01443575695157051, 0.052470963448286057, 0.00794470775872469, 0.05369852855801582, -0.0013263855362311006, -0.03775037080049515, 0.03498641401529312, -0.02801460586488247, 0.01418727170675993, -0.00717728678137064, 0.00387000385671854, 0.0008162164012901485, 0.0349939689040184, -0.01792391948401928, -0.01279908325523138, -0.02486150525510311, -0.0729927346110344, 0.029289161786437035, 0.031422436237335205, -0.0034359025303274393, -0.05085289850831032, 0.022280635312199593, -0.06605587899684906, 0.058133985847234726, -0.014491837471723557, 0.11481990665197372, 0.01235269010066986, -0.02557859569787979, 0.0647181048989296, 0.006615692749619484, -0.010128150694072247, -0.016888804733753204, -0.019016025587916374, -0.028967613354325294, 0.043961670249700546, -0.01058569923043251, -0.040313512086868286, -0.044978849589824677, -0.011713895946741104, -0.021759118884801865, 0.04397331923246384, 0.05892597511410713, 0.04300861805677414, 0.08112171292304993, -0.04087165370583534, -0.07359011471271515, -0.011755612678825855, -0.11070291697978973, 0.0566629022359848, -0.02229813113808632, 0.040974073112010956, 0.03445415571331978, 0.07814411073923111, -0.040597811341285706, 7.497014146909133e-34, -0.06176816672086716, -0.030944975093007088, -0.07960683852434158, 0.00394921051338315, 0.07264771312475204, -0.11133334040641785, -0.024190621450543404, -0.04060642793774605, 0.020530324429273605, 0.10790401697158813, 0.07486184686422348, -0.04309845715761185, 0.11015941202640533, 0.02025444246828556, 0.01448953989893198, 0.06368054449558258, -0.017649557441473007, -0.12105733156204224, -0.034763798117637634, 0.09890865534543991, -0.008461687713861465, 0.04243103787302971, -0.07338739186525345, -0.02811655029654503, -0.0126113910228014, 0.04909256473183632, -0.013950715772807598, 0.0046579428017139435, 0.013921720907092094, -0.05184805393218994, -0.09242440015077591, -0.1121109202504158, 0.01813914254307747, -0.007321306504309177, 0.01346074789762497, -0.06262292712926865, 0.0274286400526762, -0.05367712303996086, -0.10889746993780136, -0.0349162295460701, 0.07092835754156113, -0.061184611171483994, -0.06539412587881088, -0.04461062327027321, -0.010203542187809944, 0.03223896771669388, -0.053132932633161545, 0.07434680312871933, -0.058845363557338715, 0.028434107080101967, 0.08602894842624664, 0.043382033705711365, -0.037244513630867004, -0.029614821076393127, -0.008084791712462902, 0.00737716956064105, 0.03977680578827858, -0.00759348226711154, 0.044286444783210754, 0.05993339791893959, -0.018070969730615616, -0.025321142747998238, -0.06746968626976013, 0.06246348097920418, -0.04191115126013756, 0.049763936549425125, 0.02793993428349495, 0.06532317399978638, -0.0466812364757061, 0.03588154539465904, -0.04442736506462097, -0.009130834601819515, 0.048119861632585526, -0.03879454359412193, 0.01976277120411396, -0.049265868961811066, -0.02576250024139881, -0.026041073724627495, -0.03107832744717598, -0.000818192376755178, 0.013099848292768002, -0.08536989241838455, 0.04941132664680481, 0.025356408208608627, 0.05745893716812134, -0.08873959630727768, -0.07755967229604721, 0.011167945340275764, -0.06510282307863235, 0.03835444897413254, -0.07608597725629807, 0.044522255659103394, -0.08757025003433228, 0.06658869236707687, -0.0633222907781601, -4.1717854060152604e-8, 0.0024242852814495564, -0.025634733960032463, 0.05739958584308624, -0.03688502684235573, -0.09248797595500946, -0.025686658918857574, 0.023455968126654625, 0.03524674102663994, -0.016879025846719742, 0.045845575630664825, -0.030047886073589325, -0.021736089140176773, -0.006654312368482351, 0.039293646812438965, 0.06302468478679657, 0.019361598417162895, -0.0023817771580070257, 0.06464935094118118, -0.06522895395755768, 0.016733039170503616, 0.07499046623706818, -0.007136998698115349, 0.00011053997877752408, 0.04081210866570473, 0.04342830181121826, -0.004772798158228397, -0.004996743518859148, -0.0010354329133406281, 0.03299617022275925, 0.000055610467825317755, 0.01149417832493782, 0.008491438813507557, 0.04796700179576874, 0.08543134480714798, -0.07487528771162033, -0.02566484920680523, -0.028800176456570625, -0.026393413543701172, 0.03386843949556351, -0.004485873505473137, -0.030453454703092575, -0.010815389454364777, -0.17810595035552979, -0.008631566539406776, -0.018908502534031868, -0.07623365521430969, 0.10123592615127563, -0.031668320298194885, -0.044774241745471954, 0.03912655636668205, -0.05014517530798912, -0.0311552956700325, 0.10666865110397339, 0.009741160087287426, 0.04325779527425766, 0.03430885821580887, 0.10159710049629211, -0.044916920363903046, 0.042876314371824265, 0.05224079266190529, 0.02238702028989792, 0.0044815922155976295, -0.05096864700317383, 0.054110679775476456 ]
1402.0203
Carlos Montero C. Montero
C. Montero, J. Garcia Urena and M. Dorado
New Transition Mechanism: The Shaking Effect
PACS number(s): 32.60.+i, 33.55.Be
null
null
null
physics.atm-clus
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It has been observed that the trajectory of a H2 molecular beam is modified as it passes through a homogeneous magnetic field and an oscillating magnetic field. Based on this observation, this work describes a new method to determine the magnetic moment of atoms and molecules with internal angular momentum. This new method is similar to that used in the Molecular Beam Magnetic Resonance (MBMR) but 'it does not employ' the inhomogeneous fields A and B. Results shown here are in agreement with the theory of the motion of systems with internal angular momentum developed by M.Dorado. Furthermore, in this work the transition mechanism given by I.I. Rabi and N.F. Ramsey is reviewed and completed with the introduction of nutation frequency and shaking effect.
[ { "created": "Sun, 2 Feb 2014 15:25:57 GMT", "version": "v1" } ]
2014-02-04
[ [ "Montero", "C.", "" ], [ "Urena", "J. Garcia", "" ], [ "Dorado", "M.", "" ] ]
[ -0.011480658315122128, -0.06958822906017303, -0.040707800537347794, -0.0548245906829834, -0.01346207782626152, -0.01813673786818981, -0.043315935879945755, 0.018225546926259995, -0.02489141747355461, -0.019635943695902824, 0.0030364161357283592, 0.04631068557500839, -0.022909821942448616, -0.08062437921762466, 0.04206833615899086, 0.05584557354450226, -0.009983086958527565, 0.0733129158616066, 0.018564393743872643, 0.04062715172767639, -0.046667344868183136, -0.04986710846424103, 0.005740187130868435, 0.004796122666448355, -0.04772404581308365, 0.08338349312543869, 0.04452621564269066, 0.05238811671733856, 0.028799183666706085, -0.06258173286914825, 0.1427491307258606, 0.03301096335053444, -0.07320336252450943, -0.02239653654396534, -0.010284733958542347, -0.05693806707859039, -0.04464767873287201, 0.00008737581083551049, -0.04738958552479744, -0.0712491124868393, 0.03404587507247925, 0.0534420870244503, 0.036715611815452576, 0.021482616662979126, 0.03504262492060661, 0.01598297245800495, 0.055121149867773056, -0.047869183123111725, 0.020868565887212753, 0.006127872969955206, -0.06556255370378494, -0.05555487796664238, 0.028803685680031776, -0.04901121184229851, 0.0035959382075816393, 0.08273264020681381, 0.03649162873625755, -0.023433055728673935, 0.0028975377790629864, -0.08306455612182617, 0.10506879538297653, -0.018004948273301125, -0.010481342673301697, -0.0013176016509532928, 0.04555391147732735, -0.0019700974225997925, 0.10922309011220932, -0.025061236694455147, 0.029349850490689278, -0.021760236471891403, 0.004228380974382162, -0.05664912983775139, 0.007863609120249748, 0.0399509072303772, 0.026496849954128265, -0.03446420282125473, -0.061849575489759445, 0.040324922651052475, 0.04052293673157692, 0.06582285463809967, -0.0597984679043293, -0.05290605500340462, 0.014405030757188797, -0.0568968765437603, -0.0361446812748909, 0.07789669930934906, -0.029989710077643394, 0.034041114151477814, -0.106114462018013, 0.01804206520318985, -0.04819713532924652, -0.05051708221435547, -0.0599384643137455, -0.06735537946224213, -0.007380363065749407, -0.010906406678259373, 0.07938582450151443, 0.018740475177764893, 0.05910719931125641, 0.009412779472768307, 0.05160334333777428, 0.017795966938138008, -0.03927333652973175, 0.005791946314275265, -0.06676139682531357, 0.02333955280482769, 0.047401584684848785, 0.060333751142024994, 0.012938535772264004, 0.13114959001541138, -0.04831106215715408, 0.09756843745708466, -0.03319115936756134, -0.027127418667078018, 0.060977574437856674, -0.0478254035115242, -0.004973588511347771, 0.053217921406030655, 0.022722521796822548, 0.00943031907081604, 0.05976073443889618, -0.035294365137815475, -0.0037713274359703064, -0.05085211619734764, -0.04676486551761627, -0.03564906492829323, -0.09626073390245438, -1.4588799575246322e-33, 0.03301682695746422, 0.001771508133970201, 0.058276575058698654, -0.02004360407590866, -0.06793202459812164, -0.09191863983869553, -0.015196041204035282, -0.041010722517967224, 0.05466969683766365, -0.003556653158739209, 0.07109419256448746, 0.021763967350125313, 0.07436253130435944, -0.1281125694513321, -0.03971109166741371, -0.08250988274812698, -0.0008627938805148005, -0.005104803945869207, 0.05154713988304138, 0.04553442820906639, -0.0027707356493920088, 0.06410020589828491, -0.02967432141304016, 0.05915030464529991, -0.059877242892980576, 0.10289491713047028, 0.05970444530248642, 0.0276511050760746, -0.004979388322681189, -0.006674241740256548, 0.08670392632484436, -0.027668125927448273, -0.09823217988014221, 0.007266954053193331, 0.066579669713974, -0.10606090724468231, -0.05065954476594925, -0.0026284093037247658, 0.04748426377773285, -0.042177196592092514, 0.07768247276544571, -0.0665777176618576, 0.008496385999023914, 0.019039560109376907, -0.026346946135163307, 0.025833336636424065, 0.005745190195739269, -0.013278098776936531, 0.0550147108733654, 0.03295125439763069, 0.07203539460897446, -0.07453468441963196, 0.028189050033688545, 0.037714459002017975, 0.1286214143037796, -0.006723574362695217, -0.0039338646456599236, 0.024411799386143684, -0.05608368292450905, -0.02620360441505909, -0.014090322889387608, -0.033362191170454025, 0.08763895183801651, 0.011109200306236744, 0.027044296264648438, 0.00663100928068161, -0.13489766418933868, 0.012554464861750603, 0.011193986982107162, 0.049597665667533875, 0.06774330139160156, 0.05734856799244881, 0.04642176255583763, 0.09196461737155914, 0.03797696530818939, 0.044717706739902496, -0.06192247197031975, -0.0006961947656236589, 0.042054444551467896, 0.021478286013007164, 0.03686800226569176, -0.0014028230216354132, 0.00510647427290678, 0.016102813184261322, -0.04921816661953926, 0.040006499737501144, -0.0689329281449318, -0.08434450626373291, -0.04634759947657585, 0.08187571913003922, 0.00877559557557106, -0.015218316577374935, 0.010130875743925571, 0.017261600121855736, -0.04624849185347557, -2.103153350188958e-33, -0.017463121563196182, 0.04198242351412773, 0.021367641165852547, 0.008788036182522774, 0.01640608161687851, 0.09594114869832993, 0.04393443837761879, 0.02422706037759781, -0.016956504434347153, -0.008190063759684563, 0.11108776926994324, -0.059089820832014084, -0.04487749561667442, 0.033414166420698166, 0.017112156376242638, -0.024103298783302307, 0.023110240697860718, -0.02728845737874508, 0.05158127471804619, 0.03046964854001999, 0.01771695353090763, 0.005385271739214659, 0.03548156097531319, 0.001968865981325507, 0.04240403696894646, -0.024964915588498116, 0.02710876055061817, -0.03465268388390541, -0.01983482949435711, 0.03825639188289642, 0.06642533838748932, 0.048916857689619064, 0.0049306671135127544, -0.011052550747990608, -0.05273580178618431, 0.0259290412068367, -0.03820059448480606, -0.052327316254377365, -0.015680348500609398, -0.05182107910513878, -0.08944955468177795, 0.051732707768678665, 0.04781230911612511, 0.05366801097989082, -0.014642646536231041, 0.012276574037969112, -0.0068906559608876705, 0.05810891091823578, 0.012542251497507095, -0.04546085000038147, -0.09580307453870773, -0.006083075422793627, 0.014028145000338554, -0.08443848043680191, 0.011125405319035053, 0.08670185506343842, 0.06359206885099411, -0.04902932420372963, 0.11851165443658829, -0.04898456111550331, -0.017687445506453514, 0.009912064298987389, -0.015044530853629112, -0.07940942794084549, -0.0739176794886589, -0.028402427211403847, 0.0011198297142982483, -0.006579388864338398, -0.004947904031723738, 0.003359791822731495, 0.02311740443110466, 0.021135320886969566, 0.0884605422616005, 0.09250010550022125, 0.09351924806833267, -0.021515382453799248, 0.12869742512702942, -0.13454484939575195, -0.04415042698383331, -0.14233824610710144, -0.016861746087670326, 0.007946914061903954, -0.0711088702082634, -0.10032148659229279, -0.006218539550900459, -0.04933755472302437, -0.0985025018453598, -0.09082316607236862, -0.07107770442962646, -0.06571312993764877, 0.06485998630523682, 0.05822346359491348, 0.03308684751391411, -0.04506906494498253, 0.06627784669399261, -4.938192788017659e-8, 0.05166306346654892, -0.07976628094911575, -0.019125625491142273, -0.00599761912599206, 0.022854220122098923, 0.1473720818758011, -0.04906797409057617, -0.018737901002168655, 0.023533906787633896, -0.028646335005760193, 0.03486459329724312, -0.011822978965938091, -0.007585126906633377, -0.01764204353094101, -0.018605900928378105, -0.0005680327885784209, 0.0038250372745096684, -0.03439775109291077, -0.01773429848253727, 0.003065032185986638, 0.055401820689439774, -0.013386689126491547, 0.013155410066246986, 0.012659485451877117, -0.012486971914768219, 0.018097396939992905, -0.015268291346728802, -0.031661879271268845, -0.02587125450372696, -0.01740971952676773, -0.038707517087459564, -0.0053654327057302, 0.07483009248971939, 0.03573770076036453, -0.06146969646215439, -0.0027111240196973085, -0.040173791348934174, 0.07746158540248871, -0.032939255237579346, 0.000017548598407302052, -0.03745836019515991, 0.04764644056558609, -0.09758313745260239, 0.008863314986228943, -0.08324706554412842, -0.005600205156952143, -0.11536215990781784, 0.05130642279982567, -0.010412483476102352, -0.07192274183034897, -0.005889152642339468, 0.004441103432327509, -0.019695693626999855, -0.06593389064073563, -0.013990656472742558, 0.052707456052303314, -0.026198772713541985, -0.026763832196593285, 0.019627908244729042, -0.02689020149409771, 0.018026024103164673, 0.002912206342443824, -0.08111350238323212, -0.02395307831466198 ]
null
null
null
null
null
null
null
[ -0.011480658315122128, -0.06958822906017303, -0.040707800537347794, -0.0548245906829834, -0.01346207782626152, -0.01813673786818981, -0.043315935879945755, 0.018225546926259995, -0.02489141747355461, -0.019635943695902824, 0.0030364161357283592, 0.04631068557500839, -0.022909821942448616, -0.08062437921762466, 0.04206833615899086, 0.05584557354450226, -0.009983086958527565, 0.0733129158616066, 0.018564393743872643, 0.04062715172767639, -0.046667344868183136, -0.04986710846424103, 0.005740187130868435, 0.004796122666448355, -0.04772404581308365, 0.08338349312543869, 0.04452621564269066, 0.05238811671733856, 0.028799183666706085, -0.06258173286914825, 0.1427491307258606, 0.03301096335053444, -0.07320336252450943, -0.02239653654396534, -0.010284733958542347, -0.05693806707859039, -0.04464767873287201, 0.00008737581083551049, -0.04738958552479744, -0.0712491124868393, 0.03404587507247925, 0.0534420870244503, 0.036715611815452576, 0.021482616662979126, 0.03504262492060661, 0.01598297245800495, 0.055121149867773056, -0.047869183123111725, 0.020868565887212753, 0.006127872969955206, -0.06556255370378494, -0.05555487796664238, 0.028803685680031776, -0.04901121184229851, 0.0035959382075816393, 0.08273264020681381, 0.03649162873625755, -0.023433055728673935, 0.0028975377790629864, -0.08306455612182617, 0.10506879538297653, -0.018004948273301125, -0.010481342673301697, -0.0013176016509532928, 0.04555391147732735, -0.0019700974225997925, 0.10922309011220932, -0.025061236694455147, 0.029349850490689278, -0.021760236471891403, 0.004228380974382162, -0.05664912983775139, 0.007863609120249748, 0.0399509072303772, 0.026496849954128265, -0.03446420282125473, -0.061849575489759445, 0.040324922651052475, 0.04052293673157692, 0.06582285463809967, -0.0597984679043293, -0.05290605500340462, 0.014405030757188797, -0.0568968765437603, -0.0361446812748909, 0.07789669930934906, -0.029989710077643394, 0.034041114151477814, -0.106114462018013, 0.01804206520318985, -0.04819713532924652, -0.05051708221435547, -0.0599384643137455, -0.06735537946224213, -0.007380363065749407, -0.010906406678259373, 0.07938582450151443, 0.018740475177764893, 0.05910719931125641, 0.009412779472768307, 0.05160334333777428, 0.017795966938138008, -0.03927333652973175, 0.005791946314275265, -0.06676139682531357, 0.02333955280482769, 0.047401584684848785, 0.060333751142024994, 0.012938535772264004, 0.13114959001541138, -0.04831106215715408, 0.09756843745708466, -0.03319115936756134, -0.027127418667078018, 0.060977574437856674, -0.0478254035115242, -0.004973588511347771, 0.053217921406030655, 0.022722521796822548, 0.00943031907081604, 0.05976073443889618, -0.035294365137815475, -0.0037713274359703064, -0.05085211619734764, -0.04676486551761627, -0.03564906492829323, -0.09626073390245438, -1.4588799575246322e-33, 0.03301682695746422, 0.001771508133970201, 0.058276575058698654, -0.02004360407590866, -0.06793202459812164, -0.09191863983869553, -0.015196041204035282, -0.041010722517967224, 0.05466969683766365, -0.003556653158739209, 0.07109419256448746, 0.021763967350125313, 0.07436253130435944, -0.1281125694513321, -0.03971109166741371, -0.08250988274812698, -0.0008627938805148005, -0.005104803945869207, 0.05154713988304138, 0.04553442820906639, -0.0027707356493920088, 0.06410020589828491, -0.02967432141304016, 0.05915030464529991, -0.059877242892980576, 0.10289491713047028, 0.05970444530248642, 0.0276511050760746, -0.004979388322681189, -0.006674241740256548, 0.08670392632484436, -0.027668125927448273, -0.09823217988014221, 0.007266954053193331, 0.066579669713974, -0.10606090724468231, -0.05065954476594925, -0.0026284093037247658, 0.04748426377773285, -0.042177196592092514, 0.07768247276544571, -0.0665777176618576, 0.008496385999023914, 0.019039560109376907, -0.026346946135163307, 0.025833336636424065, 0.005745190195739269, -0.013278098776936531, 0.0550147108733654, 0.03295125439763069, 0.07203539460897446, -0.07453468441963196, 0.028189050033688545, 0.037714459002017975, 0.1286214143037796, -0.006723574362695217, -0.0039338646456599236, 0.024411799386143684, -0.05608368292450905, -0.02620360441505909, -0.014090322889387608, -0.033362191170454025, 0.08763895183801651, 0.011109200306236744, 0.027044296264648438, 0.00663100928068161, -0.13489766418933868, 0.012554464861750603, 0.011193986982107162, 0.049597665667533875, 0.06774330139160156, 0.05734856799244881, 0.04642176255583763, 0.09196461737155914, 0.03797696530818939, 0.044717706739902496, -0.06192247197031975, -0.0006961947656236589, 0.042054444551467896, 0.021478286013007164, 0.03686800226569176, -0.0014028230216354132, 0.00510647427290678, 0.016102813184261322, -0.04921816661953926, 0.040006499737501144, -0.0689329281449318, -0.08434450626373291, -0.04634759947657585, 0.08187571913003922, 0.00877559557557106, -0.015218316577374935, 0.010130875743925571, 0.017261600121855736, -0.04624849185347557, -2.103153350188958e-33, -0.017463121563196182, 0.04198242351412773, 0.021367641165852547, 0.008788036182522774, 0.01640608161687851, 0.09594114869832993, 0.04393443837761879, 0.02422706037759781, -0.016956504434347153, -0.008190063759684563, 0.11108776926994324, -0.059089820832014084, -0.04487749561667442, 0.033414166420698166, 0.017112156376242638, -0.024103298783302307, 0.023110240697860718, -0.02728845737874508, 0.05158127471804619, 0.03046964854001999, 0.01771695353090763, 0.005385271739214659, 0.03548156097531319, 0.001968865981325507, 0.04240403696894646, -0.024964915588498116, 0.02710876055061817, -0.03465268388390541, -0.01983482949435711, 0.03825639188289642, 0.06642533838748932, 0.048916857689619064, 0.0049306671135127544, -0.011052550747990608, -0.05273580178618431, 0.0259290412068367, -0.03820059448480606, -0.052327316254377365, -0.015680348500609398, -0.05182107910513878, -0.08944955468177795, 0.051732707768678665, 0.04781230911612511, 0.05366801097989082, -0.014642646536231041, 0.012276574037969112, -0.0068906559608876705, 0.05810891091823578, 0.012542251497507095, -0.04546085000038147, -0.09580307453870773, -0.006083075422793627, 0.014028145000338554, -0.08443848043680191, 0.011125405319035053, 0.08670185506343842, 0.06359206885099411, -0.04902932420372963, 0.11851165443658829, -0.04898456111550331, -0.017687445506453514, 0.009912064298987389, -0.015044530853629112, -0.07940942794084549, -0.0739176794886589, -0.028402427211403847, 0.0011198297142982483, -0.006579388864338398, -0.004947904031723738, 0.003359791822731495, 0.02311740443110466, 0.021135320886969566, 0.0884605422616005, 0.09250010550022125, 0.09351924806833267, -0.021515382453799248, 0.12869742512702942, -0.13454484939575195, -0.04415042698383331, -0.14233824610710144, -0.016861746087670326, 0.007946914061903954, -0.0711088702082634, -0.10032148659229279, -0.006218539550900459, -0.04933755472302437, -0.0985025018453598, -0.09082316607236862, -0.07107770442962646, -0.06571312993764877, 0.06485998630523682, 0.05822346359491348, 0.03308684751391411, -0.04506906494498253, 0.06627784669399261, -4.938192788017659e-8, 0.05166306346654892, -0.07976628094911575, -0.019125625491142273, -0.00599761912599206, 0.022854220122098923, 0.1473720818758011, -0.04906797409057617, -0.018737901002168655, 0.023533906787633896, -0.028646335005760193, 0.03486459329724312, -0.011822978965938091, -0.007585126906633377, -0.01764204353094101, -0.018605900928378105, -0.0005680327885784209, 0.0038250372745096684, -0.03439775109291077, -0.01773429848253727, 0.003065032185986638, 0.055401820689439774, -0.013386689126491547, 0.013155410066246986, 0.012659485451877117, -0.012486971914768219, 0.018097396939992905, -0.015268291346728802, -0.031661879271268845, -0.02587125450372696, -0.01740971952676773, -0.038707517087459564, -0.0053654327057302, 0.07483009248971939, 0.03573770076036453, -0.06146969646215439, -0.0027111240196973085, -0.040173791348934174, 0.07746158540248871, -0.032939255237579346, 0.000017548598407302052, -0.03745836019515991, 0.04764644056558609, -0.09758313745260239, 0.008863314986228943, -0.08324706554412842, -0.005600205156952143, -0.11536215990781784, 0.05130642279982567, -0.010412483476102352, -0.07192274183034897, -0.005889152642339468, 0.004441103432327509, -0.019695693626999855, -0.06593389064073563, -0.013990656472742558, 0.052707456052303314, -0.026198772713541985, -0.026763832196593285, 0.019627908244729042, -0.02689020149409771, 0.018026024103164673, 0.002912206342443824, -0.08111350238323212, -0.02395307831466198 ]
1402.0214
George Kesidis
George Kesidis, Guodong Pang
Golden-rule capacity allocation for distributed delay management in peer-to-peer networks
null
null
null
null
cs.NI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe a distributed framework for resources management in peer-to-peer networks leading to golden-rule reciprocity, a kind of one-versus-rest tit-for-tat, so that the delays experienced by any given peer's messages in the rest of the network are proportional to those experienced by others' messages at that peer.
[ { "created": "Sun, 2 Feb 2014 17:18:05 GMT", "version": "v1" } ]
2014-02-04
[ [ "Kesidis", "George", "" ], [ "Pang", "Guodong", "" ] ]
[ -0.01833244226872921, -0.03422848507761955, -0.00661136768758297, 0.014048432931303978, 0.03653482720255852, -0.03535309433937073, 0.04134897142648697, -0.047268737107515335, 0.04966065287590027, 0.07656805962324142, 0.006498266477137804, 0.0725698471069336, 0.057799000293016434, 0.051418375223875046, 0.007783087901771069, -0.011475817300379276, 0.04781148582696915, -0.006096018943935633, -0.03250802680850029, -0.048555269837379456, -0.009791294112801552, -0.0637558102607727, 0.0014747995883226395, -0.028003351762890816, -0.004824147559702396, -0.002670245710760355, -0.08972805738449097, -0.03986368700861931, -0.0015013061929494143, -0.08458829671144485, 0.034143779426813126, -0.019290883094072342, -0.034622468054294586, 0.05365552008152008, -0.12213627249002457, 0.04988143593072891, 0.03578750416636467, -0.012654936872422695, -0.041774362325668335, 0.07841330766677856, 0.09314116835594177, -0.010320400819182396, -0.08691749721765518, 0.0017295244615525007, -0.055385440587997437, -0.0038125200662761927, 0.01266575325280428, 0.10330214351415634, -0.06181155890226364, -0.054958369582891464, 0.05334227904677391, -0.07557208836078644, -0.06157969683408737, 0.06483854353427887, 0.11082472652196884, -0.006088863126933575, 0.06772096455097198, -0.0389375202357769, -0.023301517590880394, -0.026951685547828674, 0.030598139390349388, -0.05734027922153473, -0.04100014641880989, -0.0035861609503626823, 0.06320285052061081, 0.05398833379149437, 0.05695310980081558, 0.1155267283320427, -0.09638014435768127, -0.02858908288180828, 0.06735572218894958, -0.03080829046666622, -0.06830257922410965, 0.0794173926115036, -0.01637626625597477, -0.01460649911314249, 0.003714194754138589, 0.04190631955862045, -0.0539713129401207, 0.020996663719415665, -0.009918606840074062, -0.002694347407668829, 0.010676795616745949, 0.03691137209534645, 0.0025038914754986763, -0.11292573064565659, -0.025786301121115685, -0.01874341443181038, 0.012593992054462433, 0.009227287024259567, -0.008167531341314316, 0.06516484171152115, 0.03560690954327583, 0.02019706927239895, -0.037684496492147446, 0.027344677597284317, -0.02873918041586876, -0.07998006790876389, -0.025416897609829903, 0.07023238390684128, 0.03179219737648964, 0.07264652848243713, 0.013860214501619339, -0.06386781483888626, 0.08937894552946091, 0.051829732954502106, -0.015273045748472214, 0.054708607494831085, 0.02023722603917122, 0.048219677060842514, -0.08432433754205704, 0.0162527896463871, 0.021955499425530434, 0.00398120004683733, -0.013649255968630314, 0.017749560996890068, -0.045743443071842194, 0.08267394453287125, 0.04154379665851593, -0.05294713377952576, 0.05505526065826416, -0.008194961585104465, 0.07319454103708267, -0.06079507991671562, 0.008132746443152428, 0.024515092372894287, -0.05913003161549568, -7.26671322224145e-34, -0.02658507227897644, 0.001803884282708168, -0.06689313799142838, -0.026969989761710167, 0.024272114038467407, -0.033749498426914215, 0.0009843789739534259, 0.02720629796385765, -0.10717994719743729, -0.13917125761508942, -0.006584139075130224, 0.03486150875687599, 0.04331094026565552, -0.051807522773742676, -0.01119681540876627, -0.06095327436923981, 0.018466545268893242, 0.06385476887226105, 0.16219206154346466, -0.01787123642861843, 0.010421856306493282, -0.07836348563432693, -0.006395285949110985, 0.002487841295078397, 0.053680166602134705, -0.06866524368524551, -0.009980592876672745, -0.05588332936167717, 0.13123032450675964, 0.008917300961911678, 0.029568884521722794, 0.07910370826721191, 0.0944506973028183, -0.0265951007604599, -0.016707509756088257, 0.016564074903726578, -0.043779462575912476, -0.06862416118383408, 0.012770671397447586, -0.06172594800591469, -0.013906817883253098, 0.003770090639591217, -0.11190415173768997, -0.03359578922390938, -0.06862664222717285, -0.04306569695472717, -0.0013604199048131704, 0.008327485993504524, -0.07745014131069183, -0.005473379977047443, 0.04735887795686722, 0.036816079169511795, 0.006979711353778839, -0.023979755118489265, 0.03276578336954117, -0.009776202961802483, -0.009998645633459091, 0.05297807231545448, -0.04487064108252525, 0.015604319050908089, 0.06444906443357468, -0.07137413322925568, -0.057851023972034454, 0.0008421940729022026, 0.046960145235061646, 0.024476591497659683, -0.03241577744483948, -0.04572448879480362, 0.040188368409872055, 0.018409008160233498, 0.0002813534520100802, 0.02829587832093239, -0.002738610841333866, 0.04561980068683624, -0.017935479059815407, -0.019866367802023888, -0.03249781206250191, 0.009022144600749016, -0.01079247985035181, -0.04533001780509949, -0.06310102343559265, -0.01532746385782957, -0.017854709178209305, 0.01526122447103262, -0.03498959168791771, -0.055297594517469406, 0.07169635593891144, -0.006574895698577166, -0.07608545571565628, 0.02612610161304474, -0.02980433963239193, -0.02975507080554962, 0.0422523207962513, 0.029032917693257332, 0.04590262472629547, -1.4804139120057426e-34, -0.0688333585858345, -0.02703907899558544, -0.060426369309425354, 0.0823388546705246, 0.10807602852582932, -0.06569506227970123, -0.07268405705690384, -0.02796342223882675, -0.006940906401723623, 0.09948962181806564, -0.07510443776845932, -0.08767155557870865, 0.014772195369005203, -0.03248629719018936, 0.05343397334218025, -0.07803993672132492, 0.06670434772968292, -0.003309438703581691, -0.03977827727794647, -0.009832910262048244, -0.015059264376759529, 0.015783142298460007, 0.0304915439337492, -0.0095762824639678, 0.06631529331207275, 0.06479234993457794, -0.061252910643815994, -0.05883907154202461, -0.07428497076034546, -0.01463913731276989, -0.024647755548357964, -0.07341832667589188, -0.01420301478356123, -0.13503170013427734, -0.018588395789265633, 0.0731487050652504, -0.0434335395693779, 0.09654302150011063, -0.031016509979963303, 0.08332674205303192, 0.06120595335960388, -0.013296295888721943, -0.045239467173814774, -0.05372372642159462, -0.003387988079339266, 0.016982313245534897, -0.06219422444701195, -0.027628876268863678, -0.04769694805145264, -0.019694719463586807, 0.05842674523591995, -0.023891214281320572, 0.06361193209886551, -0.03756042569875717, 0.02740819752216339, 0.006900274660438299, -0.03739171847701073, 0.09317678958177567, 0.01895955391228199, 0.02716248482465744, 0.008031218312680721, -0.06279609352350235, -0.029602879658341408, 0.10674603283405304, 0.01615343615412712, -0.004175810609012842, 0.1024751216173172, -0.03449375554919243, 0.0017707415390759706, 0.0315437875688076, 0.05384637042880058, 0.09382332861423492, -0.03482095152139664, 0.05419803410768509, 0.04529479891061783, -0.001827244064770639, -0.03138261288404465, 0.01690703257918358, -0.08053892105817795, 0.02848733402788639, -0.0655817836523056, 0.14595133066177368, 0.016514644026756287, 0.0009244901011697948, -0.0019279528642073274, -0.0558968260884285, 0.11444106698036194, 0.05174548923969269, -0.03016378916800022, -0.02129005268216133, 0.009752207435667515, 0.029547808691859245, -0.056326501071453094, 0.04774276539683342, 0.012820341624319553, -3.562362849152123e-8, 0.009975257329642773, 0.019660795107483864, -0.037885718047618866, 0.06023583561182022, 0.03755027428269386, 0.07239586114883423, 0.013264565728604794, -0.01320001482963562, 0.0033434615470469, 0.09751761704683304, 0.0274049025028944, -0.0054643782787024975, 0.019631948322057724, -0.02591772750020027, 0.07373374700546265, 0.01690121740102768, -0.014187036082148552, -0.09596778452396393, -0.050870247185230255, -0.07644367218017578, 0.06529366970062256, 0.04280946031212807, 0.05195304751396179, 0.004656214267015457, 0.02190290205180645, -0.027528345584869385, 0.06935420632362366, 0.026393797248601913, -0.009810995310544968, 0.015445011667907238, -0.029323836788535118, -0.04497009515762329, -0.06435652822256088, -0.024315042421221733, 0.024009335786104202, 0.052280720323324203, -0.06625252962112427, 0.0033497533295303583, 0.04409370198845863, 0.1144053265452385, -0.0020901241805404425, -0.01052943617105484, -0.0027837955858558416, 0.05321048945188522, 0.09287738054990768, 0.00809207558631897, -0.0960107296705246, 0.059728413820266724, -0.058959342539310455, -0.05273113027215004, -0.03859001025557518, -0.044325653463602066, -0.033665914088487625, -0.025999771431088448, 0.06279357522726059, -0.01858680695295334, 0.03309398144483566, -0.003255612449720502, 0.051074400544166565, -0.012169428169727325, 0.07556964457035065, -0.001639347756281495, -0.03610656037926674, -0.014253961853682995 ]
null
null
null
null
null
null
null
[ -0.01833244226872921, -0.03422848507761955, -0.00661136768758297, 0.014048432931303978, 0.03653482720255852, -0.03535309433937073, 0.04134897142648697, -0.047268737107515335, 0.04966065287590027, 0.07656805962324142, 0.006498266477137804, 0.0725698471069336, 0.057799000293016434, 0.051418375223875046, 0.007783087901771069, -0.011475817300379276, 0.04781148582696915, -0.006096018943935633, -0.03250802680850029, -0.048555269837379456, -0.009791294112801552, -0.0637558102607727, 0.0014747995883226395, -0.028003351762890816, -0.004824147559702396, -0.002670245710760355, -0.08972805738449097, -0.03986368700861931, -0.0015013061929494143, -0.08458829671144485, 0.034143779426813126, -0.019290883094072342, -0.034622468054294586, 0.05365552008152008, -0.12213627249002457, 0.04988143593072891, 0.03578750416636467, -0.012654936872422695, -0.041774362325668335, 0.07841330766677856, 0.09314116835594177, -0.010320400819182396, -0.08691749721765518, 0.0017295244615525007, -0.055385440587997437, -0.0038125200662761927, 0.01266575325280428, 0.10330214351415634, -0.06181155890226364, -0.054958369582891464, 0.05334227904677391, -0.07557208836078644, -0.06157969683408737, 0.06483854353427887, 0.11082472652196884, -0.006088863126933575, 0.06772096455097198, -0.0389375202357769, -0.023301517590880394, -0.026951685547828674, 0.030598139390349388, -0.05734027922153473, -0.04100014641880989, -0.0035861609503626823, 0.06320285052061081, 0.05398833379149437, 0.05695310980081558, 0.1155267283320427, -0.09638014435768127, -0.02858908288180828, 0.06735572218894958, -0.03080829046666622, -0.06830257922410965, 0.0794173926115036, -0.01637626625597477, -0.01460649911314249, 0.003714194754138589, 0.04190631955862045, -0.0539713129401207, 0.020996663719415665, -0.009918606840074062, -0.002694347407668829, 0.010676795616745949, 0.03691137209534645, 0.0025038914754986763, -0.11292573064565659, -0.025786301121115685, -0.01874341443181038, 0.012593992054462433, 0.009227287024259567, -0.008167531341314316, 0.06516484171152115, 0.03560690954327583, 0.02019706927239895, -0.037684496492147446, 0.027344677597284317, -0.02873918041586876, -0.07998006790876389, -0.025416897609829903, 0.07023238390684128, 0.03179219737648964, 0.07264652848243713, 0.013860214501619339, -0.06386781483888626, 0.08937894552946091, 0.051829732954502106, -0.015273045748472214, 0.054708607494831085, 0.02023722603917122, 0.048219677060842514, -0.08432433754205704, 0.0162527896463871, 0.021955499425530434, 0.00398120004683733, -0.013649255968630314, 0.017749560996890068, -0.045743443071842194, 0.08267394453287125, 0.04154379665851593, -0.05294713377952576, 0.05505526065826416, -0.008194961585104465, 0.07319454103708267, -0.06079507991671562, 0.008132746443152428, 0.024515092372894287, -0.05913003161549568, -7.26671322224145e-34, -0.02658507227897644, 0.001803884282708168, -0.06689313799142838, -0.026969989761710167, 0.024272114038467407, -0.033749498426914215, 0.0009843789739534259, 0.02720629796385765, -0.10717994719743729, -0.13917125761508942, -0.006584139075130224, 0.03486150875687599, 0.04331094026565552, -0.051807522773742676, -0.01119681540876627, -0.06095327436923981, 0.018466545268893242, 0.06385476887226105, 0.16219206154346466, -0.01787123642861843, 0.010421856306493282, -0.07836348563432693, -0.006395285949110985, 0.002487841295078397, 0.053680166602134705, -0.06866524368524551, -0.009980592876672745, -0.05588332936167717, 0.13123032450675964, 0.008917300961911678, 0.029568884521722794, 0.07910370826721191, 0.0944506973028183, -0.0265951007604599, -0.016707509756088257, 0.016564074903726578, -0.043779462575912476, -0.06862416118383408, 0.012770671397447586, -0.06172594800591469, -0.013906817883253098, 0.003770090639591217, -0.11190415173768997, -0.03359578922390938, -0.06862664222717285, -0.04306569695472717, -0.0013604199048131704, 0.008327485993504524, -0.07745014131069183, -0.005473379977047443, 0.04735887795686722, 0.036816079169511795, 0.006979711353778839, -0.023979755118489265, 0.03276578336954117, -0.009776202961802483, -0.009998645633459091, 0.05297807231545448, -0.04487064108252525, 0.015604319050908089, 0.06444906443357468, -0.07137413322925568, -0.057851023972034454, 0.0008421940729022026, 0.046960145235061646, 0.024476591497659683, -0.03241577744483948, -0.04572448879480362, 0.040188368409872055, 0.018409008160233498, 0.0002813534520100802, 0.02829587832093239, -0.002738610841333866, 0.04561980068683624, -0.017935479059815407, -0.019866367802023888, -0.03249781206250191, 0.009022144600749016, -0.01079247985035181, -0.04533001780509949, -0.06310102343559265, -0.01532746385782957, -0.017854709178209305, 0.01526122447103262, -0.03498959168791771, -0.055297594517469406, 0.07169635593891144, -0.006574895698577166, -0.07608545571565628, 0.02612610161304474, -0.02980433963239193, -0.02975507080554962, 0.0422523207962513, 0.029032917693257332, 0.04590262472629547, -1.4804139120057426e-34, -0.0688333585858345, -0.02703907899558544, -0.060426369309425354, 0.0823388546705246, 0.10807602852582932, -0.06569506227970123, -0.07268405705690384, -0.02796342223882675, -0.006940906401723623, 0.09948962181806564, -0.07510443776845932, -0.08767155557870865, 0.014772195369005203, -0.03248629719018936, 0.05343397334218025, -0.07803993672132492, 0.06670434772968292, -0.003309438703581691, -0.03977827727794647, -0.009832910262048244, -0.015059264376759529, 0.015783142298460007, 0.0304915439337492, -0.0095762824639678, 0.06631529331207275, 0.06479234993457794, -0.061252910643815994, -0.05883907154202461, -0.07428497076034546, -0.01463913731276989, -0.024647755548357964, -0.07341832667589188, -0.01420301478356123, -0.13503170013427734, -0.018588395789265633, 0.0731487050652504, -0.0434335395693779, 0.09654302150011063, -0.031016509979963303, 0.08332674205303192, 0.06120595335960388, -0.013296295888721943, -0.045239467173814774, -0.05372372642159462, -0.003387988079339266, 0.016982313245534897, -0.06219422444701195, -0.027628876268863678, -0.04769694805145264, -0.019694719463586807, 0.05842674523591995, -0.023891214281320572, 0.06361193209886551, -0.03756042569875717, 0.02740819752216339, 0.006900274660438299, -0.03739171847701073, 0.09317678958177567, 0.01895955391228199, 0.02716248482465744, 0.008031218312680721, -0.06279609352350235, -0.029602879658341408, 0.10674603283405304, 0.01615343615412712, -0.004175810609012842, 0.1024751216173172, -0.03449375554919243, 0.0017707415390759706, 0.0315437875688076, 0.05384637042880058, 0.09382332861423492, -0.03482095152139664, 0.05419803410768509, 0.04529479891061783, -0.001827244064770639, -0.03138261288404465, 0.01690703257918358, -0.08053892105817795, 0.02848733402788639, -0.0655817836523056, 0.14595133066177368, 0.016514644026756287, 0.0009244901011697948, -0.0019279528642073274, -0.0558968260884285, 0.11444106698036194, 0.05174548923969269, -0.03016378916800022, -0.02129005268216133, 0.009752207435667515, 0.029547808691859245, -0.056326501071453094, 0.04774276539683342, 0.012820341624319553, -3.562362849152123e-8, 0.009975257329642773, 0.019660795107483864, -0.037885718047618866, 0.06023583561182022, 0.03755027428269386, 0.07239586114883423, 0.013264565728604794, -0.01320001482963562, 0.0033434615470469, 0.09751761704683304, 0.0274049025028944, -0.0054643782787024975, 0.019631948322057724, -0.02591772750020027, 0.07373374700546265, 0.01690121740102768, -0.014187036082148552, -0.09596778452396393, -0.050870247185230255, -0.07644367218017578, 0.06529366970062256, 0.04280946031212807, 0.05195304751396179, 0.004656214267015457, 0.02190290205180645, -0.027528345584869385, 0.06935420632362366, 0.026393797248601913, -0.009810995310544968, 0.015445011667907238, -0.029323836788535118, -0.04497009515762329, -0.06435652822256088, -0.024315042421221733, 0.024009335786104202, 0.052280720323324203, -0.06625252962112427, 0.0033497533295303583, 0.04409370198845863, 0.1144053265452385, -0.0020901241805404425, -0.01052943617105484, -0.0027837955858558416, 0.05321048945188522, 0.09287738054990768, 0.00809207558631897, -0.0960107296705246, 0.059728413820266724, -0.058959342539310455, -0.05273113027215004, -0.03859001025557518, -0.044325653463602066, -0.033665914088487625, -0.025999771431088448, 0.06279357522726059, -0.01858680695295334, 0.03309398144483566, -0.003255612449720502, 0.051074400544166565, -0.012169428169727325, 0.07556964457035065, -0.001639347756281495, -0.03610656037926674, -0.014253961853682995 ]
1402.0215
Ginestra Bianconi
Ginestra Bianconi, Sergey N. Dorogovtsev, Jos\'e F. F. Mendes
Mutually connected component of network of networks with replica nodes
(9 pages, 2 figures )
Phys. Rev. E. 91, 012804 (2015)
10.1103/PhysRevE.91.012804
null
physics.soc-ph cond-mat.dis-nn cs.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We describe the emergence of the giant mutually connected component in networks of networks in which each node has a single replica node in any layer and can be interdependent only on its replica nodes in the interdependent layers. We prove that if in these networks, all the nodes of one network (layer) are interdependent on the nodes of the same other interconnected layer, then, remarkably, the mutually connected component does not depend on the topology of the network of networks. This component coincides with the mutual component of the fully connected network of networks constructed from the same set of layers, i.e., a multiplex network.
[ { "created": "Sun, 2 Feb 2014 17:25:58 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2014 07:50:16 GMT", "version": "v2" }, { "created": "Tue, 23 Dec 2014 17:36:55 GMT", "version": "v3" } ]
2015-06-18
[ [ "Bianconi", "Ginestra", "" ], [ "Dorogovtsev", "Sergey N.", "" ], [ "Mendes", "José F. F.", "" ] ]
[ 0.031811248511075974, -0.03846670314669609, 0.00351965450681746, -0.024723779410123825, 0.04926610365509987, -0.009463450871407986, -0.004982571583241224, -0.03195110708475113, 0.09055479615926743, -0.012300802394747734, -0.0012764139100909233, 0.030220435932278633, 0.09094645828008652, 0.026878520846366882, -0.057782188057899475, -0.01469367928802967, 0.013553318567574024, -0.02295362949371338, 0.006405799649655819, 0.014943507499992847, 0.007004778366535902, -0.09279333800077438, -0.03160103037953377, 0.019373932853341103, 0.017460040748119354, 0.04159393161535263, 0.009872033260762691, -0.018647313117980957, 0.021064596250653267, -0.05959613621234894, 0.05456157028675079, 0.03385438024997711, -0.01162399910390377, 0.019488876685500145, -0.015259874053299427, 0.023377958685159683, -0.017280016094446182, -0.009047174826264381, 0.006059225648641586, 0.00625239172950387, 0.07834497839212418, 0.05371537059545517, -0.0019817566499114037, 0.003516587195917964, -0.04033999517560005, 0.010400027967989445, -0.08556321263313293, 0.033283740282058716, -0.0429394505918026, -0.034320615231990814, -0.0346604585647583, -0.06995581090450287, 0.019341882318258286, 0.04590202495455742, 0.13755953311920166, 0.030722053721547127, -0.03222224861383438, 0.01991635374724865, -0.01065788697451353, 0.0031805008184164762, 0.09702831506729126, -0.02533680573105812, -0.0074849664233624935, 0.01845405250787735, 0.07830486446619034, 0.10896066576242447, -0.028846800327301025, 0.07227465510368347, -0.04150809347629547, 0.0032258497085422277, 0.07380277663469315, 0.0009016436524689198, -0.06202128157019615, 0.008479611948132515, 0.06186961755156517, 0.05011492967605591, -0.010858375579118729, 0.004747268743813038, 0.003210877301171422, -0.006248798221349716, -0.06918138265609741, 0.03294346109032631, 0.00024229007249232382, -0.05365382134914398, -0.015558971092104912, -0.07021918147802353, -0.021761426702141762, -0.04695805534720421, 0.020862290635704994, -0.02658543735742569, -0.149906188249588, 0.08291078358888626, 0.034108344465494156, 0.019452758133411407, 0.004487724509090185, -0.006151317618787289, -0.02190619893372059, -0.014024031348526478, 0.01370107103139162, 0.016546400263905525, 0.02481573261320591, -0.07561896741390228, 0.053021617233753204, 0.022554660215973854, 0.035759326070547104, 0.04790114238858223, -0.013359900563955307, -0.07866359502077103, 0.06234600767493248, -0.058294594287872314, -0.0690094530582428, 0.05853717029094696, 0.003740796586498618, 0.044554051011800766, -0.026451891288161278, -0.023633992299437523, 0.03661711886525154, 0.03290100395679474, 0.0335964672267437, 0.020452076569199562, -0.06422321498394012, -0.05066106468439102, -0.045307457447052, -0.06252303719520569, -0.012661113403737545, 0.002411376917734742, -0.050302229821681976, 4.3154851463143516e-33, -0.018446873873472214, 0.005893959663808346, -0.03462936356663704, 0.04203470051288605, 0.06471867114305496, -0.045603737235069275, -0.006643637549132109, -0.04203684255480766, -0.0640975683927536, -0.06760162115097046, -0.08896271139383316, 0.11476001143455505, 0.0284010861068964, 0.08729016035795212, 0.03511861711740494, -0.07567771524190903, 0.06771250814199448, 0.028398193418979645, 0.05851060152053833, -0.07489308714866638, 0.023985587060451508, -0.045067865401506424, 0.011038745753467083, -0.017358027398586273, -0.009759597480297089, -0.026146071031689644, 0.010003519244492054, -0.08132260292768478, 0.021676715463399887, 0.007580609526485205, -0.03626970201730728, 0.07659143209457397, 0.04779789224267006, 0.055219925940036774, -0.011049995198845863, 0.051143936812877655, -0.008922572247684002, -0.024962225928902626, -0.04064072668552399, -0.030985968187451363, -0.038956768810749054, 0.010146964341402054, 0.025443537160754204, -0.0732310339808464, 0.009209198877215385, -0.021030772477388382, -0.03335249423980713, 0.022216523066163063, 0.007840048521757126, -0.0759948119521141, 0.014158359728753567, -0.016024593263864517, 0.05480746179819107, -0.04738390073180199, 0.014481481164693832, 0.018040679395198822, -0.007245325017720461, 0.03856392577290535, 0.05878586694598198, 0.09519235044717789, -0.03707125410437584, -0.023923594504594803, -0.07667277753353119, 0.03426477313041687, 0.07236818969249725, 0.11933942884206772, -0.0013519416097551584, -0.028903041034936905, 0.08936861902475357, -0.00544238556176424, -0.020215945318341255, 0.06957799941301346, -0.07647302746772766, -0.09621244668960571, -0.015200856141746044, -0.0247497521340847, -0.08934744447469711, -0.06411085277795792, -0.06378251314163208, 0.16312198340892792, -0.11649992316961288, -0.008203915320336819, -0.0706256702542305, 0.005966232158243656, -0.01011937391012907, -0.0195264033973217, 0.021309908479452133, 0.032766085118055344, -0.02380758337676525, 0.07140456885099411, 0.019794125109910965, -0.0234534852206707, 0.12045928835868835, -0.03551340103149414, 0.02166839875280857, -4.232475041337143e-33, -0.03889907896518707, 0.04312329366803169, 0.03162342309951782, 0.032381147146224976, 0.04745984449982643, 0.01228858157992363, -0.019007718190550804, -0.0629124790430069, -0.11956505477428436, 0.057806000113487244, 0.030944759026169777, -0.03700060769915581, 0.03563703969120979, -0.07161341607570648, -0.03953588008880615, -0.008178871124982834, 0.058799657970666885, 0.0003612427390180528, 0.047318920493125916, -0.08539983630180359, 0.08463151752948761, -0.032024309039115906, -0.009413587860763073, 0.01587926223874092, 0.12648683786392212, 0.03847157582640648, -0.025985166430473328, 0.030945712700486183, -0.018544327467679977, 0.03404846787452698, -0.04237192124128342, -0.03466979041695595, -0.03367183730006218, -0.02614227868616581, 0.059713657945394516, 0.1428872048854828, 0.0076537844724953175, 0.044296398758888245, -0.016110185533761978, -0.09622973948717117, -0.018911944702267647, -0.10189037770032883, -0.10185883194208145, 0.04819050058722496, 0.07343260943889618, -0.0662037804722786, -0.06718479096889496, 0.03027157671749592, -0.10693781822919846, 0.027469584718346596, -0.029412446543574333, 0.005884585436433554, 0.022414427250623703, -0.03832228481769562, -0.0034556675236672163, 0.03722904250025749, -0.020685391500592232, 0.1467609852552414, 0.0689094066619873, -0.0012447595363482833, 0.03587246313691139, -0.13648675382137299, -0.05203002318739891, 0.10941039025783539, 0.02414599433541298, -0.012857804074883461, 0.039407916367053986, -0.012990325689315796, -0.041419386863708496, 0.02277844026684761, 0.09151694178581238, 0.13170361518859863, -0.04996529594063759, -0.005150866694748402, -0.030758438631892204, -0.01605537161231041, -0.013189442455768585, 0.04243459552526474, -0.009115863591432571, 0.05940758436918259, -0.0819549486041069, 0.06414219737052917, 0.0031330210622400045, -0.047761447727680206, 0.09090456366539001, -0.04932709410786629, 0.025525474920868874, 0.03875028342008591, 0.024525579065084457, 0.02891124226152897, -0.020941821858286858, -0.011704917997121811, -0.07606814801692963, -0.015093154273927212, -0.04904615134000778, -4.705724876430395e-8, -0.0911056250333786, 0.01099313609302044, -0.0466415137052536, -0.004596312530338764, 0.038676854223012924, 0.023882005363702774, 0.10894780606031418, 0.00983745139092207, -0.03225919231772423, 0.0826762467622757, 0.010350535623729229, 0.006601989734917879, -0.04244738072156906, 0.03891213610768318, 0.030980680137872696, -0.027463199570775032, -0.008000480011105537, -0.09638836979866028, -0.01082292664796114, -0.042139068245887756, -0.002531755017116666, 0.008829017169773579, -0.011048241518437862, 0.08448198437690735, 0.024810362607240677, -0.06555119156837463, -0.004361819475889206, -0.01971273683011532, -0.006720739416778088, 0.06786540895700455, -0.05478197708725929, -0.03511989116668701, -0.025761909782886505, -0.024807708337903023, -0.044740211218595505, 0.12406724691390991, -0.03798471391201019, 0.10484348237514496, -0.01056766789406538, -0.05212614685297012, -0.015224558301270008, -0.00885614100843668, 0.010750728659331799, 0.03528958186507225, 0.03733687847852707, 0.024503670632839203, -0.06005752459168434, 0.034811340272426605, 0.0008763518999330699, -0.07250827550888062, -0.038678646087646484, 0.01236435491591692, -0.003664919640868902, -0.006084436550736427, -0.016781678423285484, -0.05362061783671379, 0.042905163019895554, -0.04362565651535988, 0.08348240703344345, -0.009967760182917118, 0.0026031029410660267, 0.016987064853310585, 0.0608389675617218, -0.044307585805654526 ]
null
null
null
null
null
null
null
[ 0.031811248511075974, -0.03846670314669609, 0.00351965450681746, -0.024723779410123825, 0.04926610365509987, -0.009463450871407986, -0.004982571583241224, -0.03195110708475113, 0.09055479615926743, -0.012300802394747734, -0.0012764139100909233, 0.030220435932278633, 0.09094645828008652, 0.026878520846366882, -0.057782188057899475, -0.01469367928802967, 0.013553318567574024, -0.02295362949371338, 0.006405799649655819, 0.014943507499992847, 0.007004778366535902, -0.09279333800077438, -0.03160103037953377, 0.019373932853341103, 0.017460040748119354, 0.04159393161535263, 0.009872033260762691, -0.018647313117980957, 0.021064596250653267, -0.05959613621234894, 0.05456157028675079, 0.03385438024997711, -0.01162399910390377, 0.019488876685500145, -0.015259874053299427, 0.023377958685159683, -0.017280016094446182, -0.009047174826264381, 0.006059225648641586, 0.00625239172950387, 0.07834497839212418, 0.05371537059545517, -0.0019817566499114037, 0.003516587195917964, -0.04033999517560005, 0.010400027967989445, -0.08556321263313293, 0.033283740282058716, -0.0429394505918026, -0.034320615231990814, -0.0346604585647583, -0.06995581090450287, 0.019341882318258286, 0.04590202495455742, 0.13755953311920166, 0.030722053721547127, -0.03222224861383438, 0.01991635374724865, -0.01065788697451353, 0.0031805008184164762, 0.09702831506729126, -0.02533680573105812, -0.0074849664233624935, 0.01845405250787735, 0.07830486446619034, 0.10896066576242447, -0.028846800327301025, 0.07227465510368347, -0.04150809347629547, 0.0032258497085422277, 0.07380277663469315, 0.0009016436524689198, -0.06202128157019615, 0.008479611948132515, 0.06186961755156517, 0.05011492967605591, -0.010858375579118729, 0.004747268743813038, 0.003210877301171422, -0.006248798221349716, -0.06918138265609741, 0.03294346109032631, 0.00024229007249232382, -0.05365382134914398, -0.015558971092104912, -0.07021918147802353, -0.021761426702141762, -0.04695805534720421, 0.020862290635704994, -0.02658543735742569, -0.149906188249588, 0.08291078358888626, 0.034108344465494156, 0.019452758133411407, 0.004487724509090185, -0.006151317618787289, -0.02190619893372059, -0.014024031348526478, 0.01370107103139162, 0.016546400263905525, 0.02481573261320591, -0.07561896741390228, 0.053021617233753204, 0.022554660215973854, 0.035759326070547104, 0.04790114238858223, -0.013359900563955307, -0.07866359502077103, 0.06234600767493248, -0.058294594287872314, -0.0690094530582428, 0.05853717029094696, 0.003740796586498618, 0.044554051011800766, -0.026451891288161278, -0.023633992299437523, 0.03661711886525154, 0.03290100395679474, 0.0335964672267437, 0.020452076569199562, -0.06422321498394012, -0.05066106468439102, -0.045307457447052, -0.06252303719520569, -0.012661113403737545, 0.002411376917734742, -0.050302229821681976, 4.3154851463143516e-33, -0.018446873873472214, 0.005893959663808346, -0.03462936356663704, 0.04203470051288605, 0.06471867114305496, -0.045603737235069275, -0.006643637549132109, -0.04203684255480766, -0.0640975683927536, -0.06760162115097046, -0.08896271139383316, 0.11476001143455505, 0.0284010861068964, 0.08729016035795212, 0.03511861711740494, -0.07567771524190903, 0.06771250814199448, 0.028398193418979645, 0.05851060152053833, -0.07489308714866638, 0.023985587060451508, -0.045067865401506424, 0.011038745753467083, -0.017358027398586273, -0.009759597480297089, -0.026146071031689644, 0.010003519244492054, -0.08132260292768478, 0.021676715463399887, 0.007580609526485205, -0.03626970201730728, 0.07659143209457397, 0.04779789224267006, 0.055219925940036774, -0.011049995198845863, 0.051143936812877655, -0.008922572247684002, -0.024962225928902626, -0.04064072668552399, -0.030985968187451363, -0.038956768810749054, 0.010146964341402054, 0.025443537160754204, -0.0732310339808464, 0.009209198877215385, -0.021030772477388382, -0.03335249423980713, 0.022216523066163063, 0.007840048521757126, -0.0759948119521141, 0.014158359728753567, -0.016024593263864517, 0.05480746179819107, -0.04738390073180199, 0.014481481164693832, 0.018040679395198822, -0.007245325017720461, 0.03856392577290535, 0.05878586694598198, 0.09519235044717789, -0.03707125410437584, -0.023923594504594803, -0.07667277753353119, 0.03426477313041687, 0.07236818969249725, 0.11933942884206772, -0.0013519416097551584, -0.028903041034936905, 0.08936861902475357, -0.00544238556176424, -0.020215945318341255, 0.06957799941301346, -0.07647302746772766, -0.09621244668960571, -0.015200856141746044, -0.0247497521340847, -0.08934744447469711, -0.06411085277795792, -0.06378251314163208, 0.16312198340892792, -0.11649992316961288, -0.008203915320336819, -0.0706256702542305, 0.005966232158243656, -0.01011937391012907, -0.0195264033973217, 0.021309908479452133, 0.032766085118055344, -0.02380758337676525, 0.07140456885099411, 0.019794125109910965, -0.0234534852206707, 0.12045928835868835, -0.03551340103149414, 0.02166839875280857, -4.232475041337143e-33, -0.03889907896518707, 0.04312329366803169, 0.03162342309951782, 0.032381147146224976, 0.04745984449982643, 0.01228858157992363, -0.019007718190550804, -0.0629124790430069, -0.11956505477428436, 0.057806000113487244, 0.030944759026169777, -0.03700060769915581, 0.03563703969120979, -0.07161341607570648, -0.03953588008880615, -0.008178871124982834, 0.058799657970666885, 0.0003612427390180528, 0.047318920493125916, -0.08539983630180359, 0.08463151752948761, -0.032024309039115906, -0.009413587860763073, 0.01587926223874092, 0.12648683786392212, 0.03847157582640648, -0.025985166430473328, 0.030945712700486183, -0.018544327467679977, 0.03404846787452698, -0.04237192124128342, -0.03466979041695595, -0.03367183730006218, -0.02614227868616581, 0.059713657945394516, 0.1428872048854828, 0.0076537844724953175, 0.044296398758888245, -0.016110185533761978, -0.09622973948717117, -0.018911944702267647, -0.10189037770032883, -0.10185883194208145, 0.04819050058722496, 0.07343260943889618, -0.0662037804722786, -0.06718479096889496, 0.03027157671749592, -0.10693781822919846, 0.027469584718346596, -0.029412446543574333, 0.005884585436433554, 0.022414427250623703, -0.03832228481769562, -0.0034556675236672163, 0.03722904250025749, -0.020685391500592232, 0.1467609852552414, 0.0689094066619873, -0.0012447595363482833, 0.03587246313691139, -0.13648675382137299, -0.05203002318739891, 0.10941039025783539, 0.02414599433541298, -0.012857804074883461, 0.039407916367053986, -0.012990325689315796, -0.041419386863708496, 0.02277844026684761, 0.09151694178581238, 0.13170361518859863, -0.04996529594063759, -0.005150866694748402, -0.030758438631892204, -0.01605537161231041, -0.013189442455768585, 0.04243459552526474, -0.009115863591432571, 0.05940758436918259, -0.0819549486041069, 0.06414219737052917, 0.0031330210622400045, -0.047761447727680206, 0.09090456366539001, -0.04932709410786629, 0.025525474920868874, 0.03875028342008591, 0.024525579065084457, 0.02891124226152897, -0.020941821858286858, -0.011704917997121811, -0.07606814801692963, -0.015093154273927212, -0.04904615134000778, -4.705724876430395e-8, -0.0911056250333786, 0.01099313609302044, -0.0466415137052536, -0.004596312530338764, 0.038676854223012924, 0.023882005363702774, 0.10894780606031418, 0.00983745139092207, -0.03225919231772423, 0.0826762467622757, 0.010350535623729229, 0.006601989734917879, -0.04244738072156906, 0.03891213610768318, 0.030980680137872696, -0.027463199570775032, -0.008000480011105537, -0.09638836979866028, -0.01082292664796114, -0.042139068245887756, -0.002531755017116666, 0.008829017169773579, -0.011048241518437862, 0.08448198437690735, 0.024810362607240677, -0.06555119156837463, -0.004361819475889206, -0.01971273683011532, -0.006720739416778088, 0.06786540895700455, -0.05478197708725929, -0.03511989116668701, -0.025761909782886505, -0.024807708337903023, -0.044740211218595505, 0.12406724691390991, -0.03798471391201019, 0.10484348237514496, -0.01056766789406538, -0.05212614685297012, -0.015224558301270008, -0.00885614100843668, 0.010750728659331799, 0.03528958186507225, 0.03733687847852707, 0.024503670632839203, -0.06005752459168434, 0.034811340272426605, 0.0008763518999330699, -0.07250827550888062, -0.038678646087646484, 0.01236435491591692, -0.003664919640868902, -0.006084436550736427, -0.016781678423285484, -0.05362061783671379, 0.042905163019895554, -0.04362565651535988, 0.08348240703344345, -0.009967760182917118, 0.0026031029410660267, 0.016987064853310585, 0.0608389675617218, -0.044307585805654526 ]
1402.0218
Ginestra Bianconi
Ginestra Bianconi and Sergey N. Dorogovtsev
Multiple percolation transitions in a configuration model of network of networks
(11 pages, 4 figures)
Phys. Rev. E 89, 062814 (2014)
10.1103/PhysRevE.89.062814
null
cond-mat.stat-mech cond-mat.dis-nn physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently much attention has been paid to the study of the robustness of interdependent and multiplex networks and, in particular, networks of networks. The robustness of interdependent networks can be evaluated by the size of a mutually connected component when a fraction of nodes have been removed from these networks. Here we characterize the emergence of the mutually connected component in a network of networks in which every node of a network (layer) $\alpha$ is connected with $q_{\alpha}$ randomly chosen replicas in some other networks and is interdependent of these nodes with probability $r$. We find that when the superdegrees $q_{\alpha}$ of different layers in the network of networks are distributed heterogeneously, multiple percolation phase transition can occur, and depending on the value of $r$ these transition are continuous or discontinuous.
[ { "created": "Sun, 2 Feb 2014 17:32:34 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2014 07:44:46 GMT", "version": "v2" }, { "created": "Fri, 27 Jun 2014 14:26:07 GMT", "version": "v3" } ]
2015-06-18
[ [ "Bianconi", "Ginestra", "" ], [ "Dorogovtsev", "Sergey N.", "" ] ]
[ -0.04448472335934639, -0.05121530964970589, 0.044161345809698105, 0.036837801337242126, 0.0336320698261261, 0.04642889276146889, 0.014000608585774899, -0.020945150405168533, 0.09190960973501205, -0.041708558797836304, -0.032042499631643295, 0.0431479886174202, 0.0744016021490097, -0.005331889260560274, -0.05162608250975609, -0.03422281891107559, -0.0016294940141960979, -0.05611595883965492, -0.023337507620453835, 0.0532069094479084, 0.01466703787446022, -0.08219072967767715, -0.0984620749950409, -0.03499221056699753, 0.0708739385008812, -0.00642006378620863, -0.04691145569086075, 0.00548572139814496, 0.0724150538444519, -0.03237910941243172, 0.010324169881641865, -0.0018620993942022324, -0.029177365824580193, -0.010120921768248081, 0.017550446093082428, -0.006046947091817856, -0.0019141006050631404, 0.020305123180150986, 0.06023300811648369, 0.04552965238690376, 0.07060430198907852, 0.06523589789867401, -0.0013264609733596444, -0.04708770662546158, 0.038256414234638214, 0.0016086987452581525, -0.024296114221215248, 0.0037967097014188766, -0.11626099795103073, -0.09343032538890839, 0.0166502445936203, -0.03471587598323822, -0.015180434100329876, 0.06111833080649376, 0.04573855549097061, -0.003418490756303072, -0.00008863396942615509, -0.00894195307046175, -0.004137800540775061, 0.031652841717004776, 0.09131743013858795, -0.026899974793195724, -0.016653243452310562, -0.0007942834054119885, 0.09486719220876694, 0.11176316440105438, 0.000959278957452625, 0.0685315802693367, 0.013969194144010544, 0.07254686206579208, 0.06670613586902618, 0.018508320674300194, -0.10213647037744522, 0.011456993408501148, 0.13621582090854645, 0.12334664911031723, -0.04495241492986679, -0.005852869711816311, -0.07667320221662521, -0.026884881779551506, -0.029732421040534973, -0.023281019181013107, 0.021006830036640167, -0.04290413111448288, -0.01348548661917448, -0.07887326925992966, -0.03270233795046806, -0.02899239771068096, 0.048160456120967865, -0.029917636886239052, -0.15208382904529572, 0.14292603731155396, -0.01693139225244522, 0.026860414072871208, 0.041789375245571136, 0.04406677186489105, 0.019852885976433754, -0.03809615224599838, 0.10798963904380798, 0.02038908191025257, 0.051841795444488525, -0.09442172944545746, 0.07230189442634583, 0.0009951828978955746, 0.05489422008395195, 0.012759294360876083, 0.02450038492679596, -0.03227134048938751, 0.016887659206986427, 0.0006844548042863607, -0.02713334932923317, 0.008295608684420586, 0.06954915076494217, 0.047872792929410934, -0.03700805827975273, -0.052447110414505005, 0.018756376579403877, 0.07523182034492493, 0.03332408517599106, 0.01662359945476055, -0.05099315568804741, 0.01573285460472107, -0.04170601814985275, -0.06603319942951202, -0.01626286283135414, 0.02478095516562462, -0.013535389676690102, 4.436177926759076e-33, 0.051797810941934586, -0.021491969004273415, -0.014561727643013, 0.02767048589885235, 0.08127633482217789, -0.022419221699237823, -0.028019538149237633, -0.1055557057261467, -0.02303554117679596, -0.026998456567525864, -0.03224664926528931, 0.0520816296339035, -0.013902636244893074, -0.030185675248503685, 0.0322403609752655, -0.04903112351894379, 0.04986013472080231, -0.015759902074933052, 0.019931815564632416, -0.055934131145477295, 0.09141791611909866, -0.08788159489631653, -0.026602085679769516, -0.02936454862356186, -0.009988066740334034, -0.007660422474145889, 0.023269979283213615, -0.031413961201906204, -0.004698074422776699, 0.013551080599427223, -0.008793768472969532, 0.10532183200120926, -0.016774965450167656, 0.03534593805670738, -0.023373574018478394, 0.041121192276477814, -0.011645905673503876, -0.012432843446731567, -0.05609027296304703, -0.022956328466534615, -0.04155726730823517, -0.02081206440925598, 0.05812519043684006, -0.0524570494890213, 0.07275941967964172, -0.02195809781551361, 0.05158388987183571, 0.04729621857404709, -0.07532015442848206, -0.08119960874319077, -0.04012257233262062, -0.02137647196650505, 0.04688074439764023, -0.002495276741683483, 0.003140376415103674, 0.0504876971244812, 0.01156463474035263, 0.0595809742808342, -0.010972529649734497, 0.08402464538812637, -0.0072053661569952965, -0.02893894910812378, -0.06680425256490707, 0.006108471658080816, 0.07951375842094421, 0.11879003047943115, -0.05391658842563629, -0.037422992289066315, 0.06779995560646057, -0.010568475350737572, 0.018102698028087616, 0.02961081825196743, -0.05426332354545593, -0.1397731453180313, 0.011130118742585182, -0.034043021500110626, -0.08501417934894562, -0.005764080677181482, -0.020022213459014893, 0.09919580817222595, -0.12968510389328003, -0.054949451237916946, -0.05128350853919983, -0.01878819614648819, -0.06912006437778473, 0.00523383216932416, 0.0446329228579998, 0.028739014640450478, -0.044309351593256, 0.025168845430016518, 0.05340146645903587, -0.011398162692785263, 0.089695043861866, 0.03157484531402588, -0.005741745699197054, -5.584655009295652e-33, -0.06319577246904373, -0.026665635406970978, 0.07249367237091064, 0.05735818296670914, 0.00944183487445116, 0.027133893221616745, 0.006307708099484444, 0.014775937423110008, -0.0004675954987760633, -0.0007101157098077238, -0.031178081408143044, 0.04064410179853439, 0.03581783547997475, -0.07623198628425598, -0.025702020153403282, -0.05709768086671829, 0.09879595041275024, 0.03592461347579956, 0.08852066844701767, -0.05029240995645523, 0.048552900552749634, -0.03147100657224655, -0.055042099207639694, 0.03375180810689926, 0.10337943583726883, 0.0015024004969745874, -0.05225037410855293, 0.019370639696717262, -0.05139284208416939, 0.04580780118703842, -0.039719078689813614, 0.02152051404118538, -0.024931959807872772, 0.05669518932700157, -0.003542143851518631, 0.09523507952690125, -0.012659645639359951, 0.023367956280708313, -0.022259915247559547, -0.043295033276081085, -0.0132836839184165, -0.03116900473833084, -0.08541790395975113, 0.053069472312927246, 0.09233776479959488, 0.013379600830376148, -0.038366157561540604, 0.05258519947528839, -0.04369179904460907, 0.024215972051024437, -0.09778153151273727, 0.000691692519467324, -0.014235064387321472, 0.01983427256345749, -0.010366227477788925, 0.019537728279829025, -0.022363293915987015, 0.037114571779966354, 0.01976834423840046, -0.0010366850765421987, -0.04899810627102852, -0.09253645688295364, -0.11369068175554276, 0.10608337819576263, 0.01326597761362791, -0.04254934564232826, -0.0374474823474884, -0.08938432484865189, 0.06125142425298691, -0.008398951031267643, 0.11182183772325516, 0.09966665506362915, -0.017702994868159294, -0.055131468921899796, 0.019568568095564842, 0.014902577735483646, 0.011936694383621216, 0.011675876565277576, -0.0294067170470953, -0.016172828152775764, -0.06642289459705353, 0.04144548997282982, -0.021592050790786743, -0.040803201496601105, 0.0412258617579937, -0.035140443593263626, 0.04037829488515854, 0.029705358669161797, 0.05646253004670143, -0.02832612954080105, -0.0402776338160038, 0.021108679473400116, -0.028674917295575142, -0.07153020054101944, -0.01790732890367508, -5.0098030612844013e-8, -0.00672896858304739, 0.030203092843294144, -0.053110890090465546, -0.018308311700820923, 0.10039790719747543, 0.020047977566719055, 0.02576335147023201, 0.03134870529174805, 0.022135324776172638, 0.08326781541109085, 0.028941776603460312, -0.04611918330192566, -0.006852555088698864, -0.03466048091650009, -0.042788274586200714, -0.026922663673758507, -0.005954699125140905, 0.017292547971010208, 0.006899976171553135, -0.042700983583927155, -0.054877057671546936, -0.03195277601480484, -0.006278488785028458, 0.06347747892141342, -0.011807643808424473, -0.04836025461554527, 0.03510620817542076, -0.07726205885410309, -0.06762072443962097, 0.043503277003765106, -0.09567835181951523, -0.06545672565698624, 0.030669450759887695, 0.06463529169559479, -0.05094646289944649, 0.19762419164180756, 0.006076527759432793, 0.05263465642929077, 0.038303863257169724, -0.05202160403132439, 0.028510579839348793, -0.03678420931100845, 0.007336725480854511, -0.01329715084284544, -0.02346346713602543, 0.00501627754420042, -0.05588522180914879, 0.010068876668810844, 0.02632075920701027, -0.09142617136240005, -0.016557855531573296, -0.029598860070109367, -0.01934587024152279, -0.05433310195803642, 0.002537934109568596, -0.02507113106548786, 0.006060287356376648, -0.06421296298503876, 0.03519376367330551, 0.04517907649278641, 0.010476256720721722, 0.014928133226931095, -0.04123007878661156, -0.09076499938964844 ]
null
null
null
null
null
null
null
[ -0.04448472335934639, -0.05121530964970589, 0.044161345809698105, 0.036837801337242126, 0.0336320698261261, 0.04642889276146889, 0.014000608585774899, -0.020945150405168533, 0.09190960973501205, -0.041708558797836304, -0.032042499631643295, 0.0431479886174202, 0.0744016021490097, -0.005331889260560274, -0.05162608250975609, -0.03422281891107559, -0.0016294940141960979, -0.05611595883965492, -0.023337507620453835, 0.0532069094479084, 0.01466703787446022, -0.08219072967767715, -0.0984620749950409, -0.03499221056699753, 0.0708739385008812, -0.00642006378620863, -0.04691145569086075, 0.00548572139814496, 0.0724150538444519, -0.03237910941243172, 0.010324169881641865, -0.0018620993942022324, -0.029177365824580193, -0.010120921768248081, 0.017550446093082428, -0.006046947091817856, -0.0019141006050631404, 0.020305123180150986, 0.06023300811648369, 0.04552965238690376, 0.07060430198907852, 0.06523589789867401, -0.0013264609733596444, -0.04708770662546158, 0.038256414234638214, 0.0016086987452581525, -0.024296114221215248, 0.0037967097014188766, -0.11626099795103073, -0.09343032538890839, 0.0166502445936203, -0.03471587598323822, -0.015180434100329876, 0.06111833080649376, 0.04573855549097061, -0.003418490756303072, -0.00008863396942615509, -0.00894195307046175, -0.004137800540775061, 0.031652841717004776, 0.09131743013858795, -0.026899974793195724, -0.016653243452310562, -0.0007942834054119885, 0.09486719220876694, 0.11176316440105438, 0.000959278957452625, 0.0685315802693367, 0.013969194144010544, 0.07254686206579208, 0.06670613586902618, 0.018508320674300194, -0.10213647037744522, 0.011456993408501148, 0.13621582090854645, 0.12334664911031723, -0.04495241492986679, -0.005852869711816311, -0.07667320221662521, -0.026884881779551506, -0.029732421040534973, -0.023281019181013107, 0.021006830036640167, -0.04290413111448288, -0.01348548661917448, -0.07887326925992966, -0.03270233795046806, -0.02899239771068096, 0.048160456120967865, -0.029917636886239052, -0.15208382904529572, 0.14292603731155396, -0.01693139225244522, 0.026860414072871208, 0.041789375245571136, 0.04406677186489105, 0.019852885976433754, -0.03809615224599838, 0.10798963904380798, 0.02038908191025257, 0.051841795444488525, -0.09442172944545746, 0.07230189442634583, 0.0009951828978955746, 0.05489422008395195, 0.012759294360876083, 0.02450038492679596, -0.03227134048938751, 0.016887659206986427, 0.0006844548042863607, -0.02713334932923317, 0.008295608684420586, 0.06954915076494217, 0.047872792929410934, -0.03700805827975273, -0.052447110414505005, 0.018756376579403877, 0.07523182034492493, 0.03332408517599106, 0.01662359945476055, -0.05099315568804741, 0.01573285460472107, -0.04170601814985275, -0.06603319942951202, -0.01626286283135414, 0.02478095516562462, -0.013535389676690102, 4.436177926759076e-33, 0.051797810941934586, -0.021491969004273415, -0.014561727643013, 0.02767048589885235, 0.08127633482217789, -0.022419221699237823, -0.028019538149237633, -0.1055557057261467, -0.02303554117679596, -0.026998456567525864, -0.03224664926528931, 0.0520816296339035, -0.013902636244893074, -0.030185675248503685, 0.0322403609752655, -0.04903112351894379, 0.04986013472080231, -0.015759902074933052, 0.019931815564632416, -0.055934131145477295, 0.09141791611909866, -0.08788159489631653, -0.026602085679769516, -0.02936454862356186, -0.009988066740334034, -0.007660422474145889, 0.023269979283213615, -0.031413961201906204, -0.004698074422776699, 0.013551080599427223, -0.008793768472969532, 0.10532183200120926, -0.016774965450167656, 0.03534593805670738, -0.023373574018478394, 0.041121192276477814, -0.011645905673503876, -0.012432843446731567, -0.05609027296304703, -0.022956328466534615, -0.04155726730823517, -0.02081206440925598, 0.05812519043684006, -0.0524570494890213, 0.07275941967964172, -0.02195809781551361, 0.05158388987183571, 0.04729621857404709, -0.07532015442848206, -0.08119960874319077, -0.04012257233262062, -0.02137647196650505, 0.04688074439764023, -0.002495276741683483, 0.003140376415103674, 0.0504876971244812, 0.01156463474035263, 0.0595809742808342, -0.010972529649734497, 0.08402464538812637, -0.0072053661569952965, -0.02893894910812378, -0.06680425256490707, 0.006108471658080816, 0.07951375842094421, 0.11879003047943115, -0.05391658842563629, -0.037422992289066315, 0.06779995560646057, -0.010568475350737572, 0.018102698028087616, 0.02961081825196743, -0.05426332354545593, -0.1397731453180313, 0.011130118742585182, -0.034043021500110626, -0.08501417934894562, -0.005764080677181482, -0.020022213459014893, 0.09919580817222595, -0.12968510389328003, -0.054949451237916946, -0.05128350853919983, -0.01878819614648819, -0.06912006437778473, 0.00523383216932416, 0.0446329228579998, 0.028739014640450478, -0.044309351593256, 0.025168845430016518, 0.05340146645903587, -0.011398162692785263, 0.089695043861866, 0.03157484531402588, -0.005741745699197054, -5.584655009295652e-33, -0.06319577246904373, -0.026665635406970978, 0.07249367237091064, 0.05735818296670914, 0.00944183487445116, 0.027133893221616745, 0.006307708099484444, 0.014775937423110008, -0.0004675954987760633, -0.0007101157098077238, -0.031178081408143044, 0.04064410179853439, 0.03581783547997475, -0.07623198628425598, -0.025702020153403282, -0.05709768086671829, 0.09879595041275024, 0.03592461347579956, 0.08852066844701767, -0.05029240995645523, 0.048552900552749634, -0.03147100657224655, -0.055042099207639694, 0.03375180810689926, 0.10337943583726883, 0.0015024004969745874, -0.05225037410855293, 0.019370639696717262, -0.05139284208416939, 0.04580780118703842, -0.039719078689813614, 0.02152051404118538, -0.024931959807872772, 0.05669518932700157, -0.003542143851518631, 0.09523507952690125, -0.012659645639359951, 0.023367956280708313, -0.022259915247559547, -0.043295033276081085, -0.0132836839184165, -0.03116900473833084, -0.08541790395975113, 0.053069472312927246, 0.09233776479959488, 0.013379600830376148, -0.038366157561540604, 0.05258519947528839, -0.04369179904460907, 0.024215972051024437, -0.09778153151273727, 0.000691692519467324, -0.014235064387321472, 0.01983427256345749, -0.010366227477788925, 0.019537728279829025, -0.022363293915987015, 0.037114571779966354, 0.01976834423840046, -0.0010366850765421987, -0.04899810627102852, -0.09253645688295364, -0.11369068175554276, 0.10608337819576263, 0.01326597761362791, -0.04254934564232826, -0.0374474823474884, -0.08938432484865189, 0.06125142425298691, -0.008398951031267643, 0.11182183772325516, 0.09966665506362915, -0.017702994868159294, -0.055131468921899796, 0.019568568095564842, 0.014902577735483646, 0.011936694383621216, 0.011675876565277576, -0.0294067170470953, -0.016172828152775764, -0.06642289459705353, 0.04144548997282982, -0.021592050790786743, -0.040803201496601105, 0.0412258617579937, -0.035140443593263626, 0.04037829488515854, 0.029705358669161797, 0.05646253004670143, -0.02832612954080105, -0.0402776338160038, 0.021108679473400116, -0.028674917295575142, -0.07153020054101944, -0.01790732890367508, -5.0098030612844013e-8, -0.00672896858304739, 0.030203092843294144, -0.053110890090465546, -0.018308311700820923, 0.10039790719747543, 0.020047977566719055, 0.02576335147023201, 0.03134870529174805, 0.022135324776172638, 0.08326781541109085, 0.028941776603460312, -0.04611918330192566, -0.006852555088698864, -0.03466048091650009, -0.042788274586200714, -0.026922663673758507, -0.005954699125140905, 0.017292547971010208, 0.006899976171553135, -0.042700983583927155, -0.054877057671546936, -0.03195277601480484, -0.006278488785028458, 0.06347747892141342, -0.011807643808424473, -0.04836025461554527, 0.03510620817542076, -0.07726205885410309, -0.06762072443962097, 0.043503277003765106, -0.09567835181951523, -0.06545672565698624, 0.030669450759887695, 0.06463529169559479, -0.05094646289944649, 0.19762419164180756, 0.006076527759432793, 0.05263465642929077, 0.038303863257169724, -0.05202160403132439, 0.028510579839348793, -0.03678420931100845, 0.007336725480854511, -0.01329715084284544, -0.02346346713602543, 0.00501627754420042, -0.05588522180914879, 0.010068876668810844, 0.02632075920701027, -0.09142617136240005, -0.016557855531573296, -0.029598860070109367, -0.01934587024152279, -0.05433310195803642, 0.002537934109568596, -0.02507113106548786, 0.006060287356376648, -0.06421296298503876, 0.03519376367330551, 0.04517907649278641, 0.010476256720721722, 0.014928133226931095, -0.04123007878661156, -0.09076499938964844 ]
1402.0225
Alexandre Rademaker
Edward Hermann Haeusler and Alexandre Rademaker
An Intuitionisticaly based Description Logic
null
null
null
null
cs.LO
http://creativecommons.org/licenses/by/3.0/
This article presents iALC, an intuitionistic version of the classical description logic ALC, based on the framework for constructive modal logics presented by Simpson \cite{simpson95} and related to description languages, via hybrid logics, by dePaiva \cite{depaiva2003}. This article correcta and extends the presentation of iALC appearing in \cite{PHR:2010}. It points out the difference between iALC and the intuitionistic hybrid logic presented in \cite{depaiva2003}. Completeness and soundness proofs are provided. A brief discussion on the computacional complexity of iALC provability is taken. It is worth mentioning that iALC is used to formalize legal knowledge \cite{HPR:2010a,HPR:2010ab,Jurix, HPR:2011}, and in fact, was specifically designed to this goal.
[ { "created": "Sun, 2 Feb 2014 18:09:31 GMT", "version": "v1" } ]
2014-02-04
[ [ "Haeusler", "Edward Hermann", "" ], [ "Rademaker", "Alexandre", "" ] ]
[ -0.05073912441730499, 0.019365064799785614, -0.04167218878865242, -0.08751365542411804, -0.011843343265354633, -0.04714164510369301, 0.017750022932887077, 0.06780046224594116, 0.023891720920801163, 0.043950404971838, 0.02100212313234806, -0.01611996628344059, 0.037797681987285614, 0.0026843161322176456, 0.014341842383146286, 0.06219133734703064, 0.02944794110953808, -0.0123588303104043, -0.04529046639800072, -0.04964033141732216, 0.05158098042011261, 0.015277493745088577, -0.044744059443473816, 0.04012380167841911, -0.02012607268989086, 0.07109463959932327, -0.13752064108848572, 0.018845215439796448, 0.050320763140916824, -0.03947851434350014, -0.0419294498860836, 0.046798255294561386, 0.03940248861908913, 0.01684471033513546, 0.0662052258849144, -0.010976717807352543, -0.027264250442385674, 0.030596576631069183, 0.03631845489144325, -0.0006838152767159045, -0.0785338431596756, -0.023596037179231644, -0.0700099766254425, -0.020124994218349457, -0.053743962198495865, 0.013766375370323658, -0.05482962355017662, 0.006759354379028082, -0.05566176027059555, 0.06776848435401917, -0.17386938631534576, 0.10496817529201508, 0.03518584743142128, -0.10057666897773743, 0.05709521472454071, -0.06519991159439087, -0.022961124777793884, 0.03275585174560547, -0.055855683982372284, -0.04095853120088577, -0.03004726581275463, -0.00998691190034151, -0.028031015768647194, 0.05147809535264969, -0.003598955227062106, 0.0031189434230327606, 0.014250551350414753, -0.01984468288719654, 0.023967517539858818, -0.011599316261708736, 0.03638206049799919, -0.034888990223407745, -0.032175127416849136, -0.0055329990573227406, -0.039561301469802856, 0.034534089267253876, 0.11823668330907822, 0.00988488644361496, -0.04013780504465103, -0.07051878422498703, -0.06633683294057846, 0.022199533879756927, -0.015432311221957207, -0.002582646207883954, -0.019321298226714134, -0.05365202575922012, 0.02427605539560318, -0.008032528683543205, 0.032564643770456314, 0.047366950660943985, 0.002055494347587228, -0.09536124765872955, 0.03922637924551964, -0.01279860083013773, 0.13133898377418518, 0.042310796678066254, -0.028012512251734734, -0.0406082384288311, 0.010145970620214939, 0.07997539639472961, 0.033209141343832016, 0.1178390234708786, 0.020199960097670555, -0.08870082348585129, 0.05422648414969444, -0.08714613318443298, 0.04606759920716286, -0.025469856336712837, 0.0009590025874786079, -0.08199884742498398, 0.010215628892183304, -0.0060347761027514935, 0.059359289705753326, -0.07348677515983582, -0.008619016967713833, 0.010453963652253151, -0.032007522881031036, 0.006404750514775515, 0.08279697597026825, -0.12879496812820435, -0.025518834590911865, 0.0053339628502726555, 0.028941050171852112, 0.09375322610139847, 0.04551323503255844, -0.0383354015648365, -0.0019488678080961108, 2.7678893444362152e-33, -0.006524358876049519, 0.0014976940583437681, -0.02864931896328926, 0.06531459093093872, -0.02174448035657406, -0.021520113572478294, -0.0035822829231619835, 0.012909146957099438, -0.01960001327097416, 0.03831573948264122, 0.02175780199468136, 0.080129474401474, 0.00553216552361846, -0.000367591594113037, -0.003457708517089486, -0.007484137546271086, -0.07388387620449066, -0.016840294003486633, -0.019966574385762215, -0.025990324094891548, 0.0913095474243164, 0.0010931621072813869, -0.019881170243024826, 0.005118587054312229, -0.06365687400102615, 0.032619066536426544, 0.05094733089208603, -0.012770243920385838, -0.04837280139327049, 0.027401477098464966, -0.020655903965234756, -0.05089135840535164, -0.010295472107827663, -0.0009305565617978573, 0.026710184291005135, 0.03207440674304962, -0.05232915282249451, -0.05544532462954521, 0.06497855484485626, -0.0017528055468574166, -0.00006194596062414348, 0.037275657057762146, 0.004922524560242891, -0.02482414059340954, 0.007162462454289198, 0.015464233234524727, -0.09699052572250366, 0.07231154292821884, -0.0157930888235569, -0.06038055568933487, 0.04636814445257187, -0.005304460413753986, 0.04978132247924805, -0.028737764805555344, 0.061468031257390976, 0.018333587795495987, -0.054587993770837784, 0.08698949217796326, 0.017003091052174568, 0.12148092687129974, 0.0035652373917400837, 0.04739701747894287, -0.027944782748818398, 0.03168396279215813, -0.05437855422496796, 0.07596279680728912, -0.15820196270942688, 0.01419970951974392, 0.133823424577713, -0.029739201068878174, 0.0013618014054372907, 0.04540783166885376, -0.013046861626207829, 0.01980222389101982, 0.02462165802717209, -0.06566795706748962, -0.032517723739147186, -0.038492437452077866, 0.017427384853363037, 0.008589406497776508, -0.000657583586871624, 0.10303440690040588, -0.01639811135828495, 0.06338692456483841, 0.009741905145347118, -0.02879791148006916, 0.0018593212589621544, 0.0042824819684028625, -0.06414780765771866, -0.07952702790498734, -0.022313391789793968, 0.0029305201023817062, 0.03311711549758911, -0.007351027335971594, 0.018657702952623367, -5.935138200884917e-33, 0.024070097133517265, -0.036716341972351074, 0.03808144852519035, 0.017538664862513542, -0.05660880357027054, -0.010466319508850574, -0.016768639907240868, 0.05733921006321907, -0.021787593141198158, -0.0060469768941402435, 0.05855046585202217, -0.05471431091427803, 0.10053621977567673, -0.08137889206409454, -0.007317813578993082, -0.009932716377079487, -0.025208286941051483, -0.052644722163677216, -0.008099284954369068, 0.088102787733078, 0.06200695410370827, 0.061407025903463364, -0.09808183461427689, 0.036942824721336365, 0.022324025630950928, 0.008807956241071224, -0.030633704736828804, -0.01964757777750492, -0.002152978675439954, -0.04910030588507652, -0.019985381513834, -0.031927045434713364, -0.10136358439922333, 0.0003157984756398946, -0.050185009837150574, -0.0667879655957222, 0.07455617934465408, 0.026976516470313072, -0.08158423751592636, -0.03523235768079758, -0.07619079202413559, 0.040046244859695435, 0.012645347975194454, -0.11894239485263824, 0.031795255839824677, 0.02746611461043358, -0.002465527970343828, -0.026592694222927094, 0.04024744778871536, -0.07888178527355194, 0.040427107363939285, -0.07571754604578018, 0.03437186777591705, 0.02093222551047802, -0.010260047391057014, 0.022987281903624535, 0.005752529948949814, -0.0031697582453489304, -0.016017740592360497, 0.01089882105588913, -0.011831225827336311, 0.039141371846199036, 0.006349300965666771, 0.040181346237659454, 0.013254363089799881, 0.03388000652194023, -0.03949476778507233, -0.05088712275028229, -0.015412573702633381, -0.12212979048490524, 0.03247359022498131, -0.0202842578291893, -0.10403802245855331, -0.049822740256786346, 0.09995528310537338, 0.04541981592774391, 0.009317671880126, -0.045572903007268906, -0.0708756148815155, -0.08804988116025925, -0.01425514928996563, -0.08115886896848679, 0.02596808597445488, 0.04941432550549507, -0.0022767854388803244, 0.005799831822514534, -0.022234739735722542, -0.04346773400902748, -0.02265181764960289, 0.07036709040403366, -0.04480363801121712, 0.016359513625502586, -0.013554258272051811, 0.10398019105195999, -0.04310443252325058, -5.14820825969764e-8, -0.013771106489002705, 0.11758601665496826, -0.028639964759349823, 0.004612568765878677, 0.056765999644994736, -0.0022953974548727274, -0.06915773451328278, -0.09400775283575058, -0.034222107380628586, -0.006187936291098595, 0.07273051142692566, 0.0661800280213356, -0.07414333522319794, 0.027963872998952866, -0.05409514904022217, 0.061955492943525314, 0.04435169696807861, -0.05131395906209946, 0.026215974241495132, 0.052338629961013794, 0.015571325086057186, -0.027528954669833183, -0.001705046510323882, 0.04785832390189171, -0.004142879042774439, -0.036024585366249084, -0.03209829330444336, 0.03117649257183075, 0.03048323467373848, 0.033294614404439926, -0.04153101146221161, 0.07527627050876617, 0.02092919312417507, -0.06317538768053055, 0.08684543520212173, 0.026842879131436348, -0.027589423581957817, 0.01112400647252798, -0.015968116000294685, -0.006294522434473038, 0.03873583301901817, 0.0024142388720065355, -0.1391640156507492, 0.03124118782579899, 0.13911817967891693, 0.007806355133652687, -0.04755646362900734, -0.08109775185585022, -0.09206642210483551, 0.03308182582259178, 0.014074934646487236, 0.008519417606294155, 0.044360533356666565, 0.03385022282600403, -0.046633969992399216, 0.028010379523038864, -0.026043280959129333, -0.01032530702650547, 0.034116413444280624, 0.010203288868069649, 0.12034432590007782, 0.11006098985671997, 0.10255524516105652, -0.036799632012844086 ]
null
null
null
null
null
null
null
[ -0.05073912441730499, 0.019365064799785614, -0.04167218878865242, -0.08751365542411804, -0.011843343265354633, -0.04714164510369301, 0.017750022932887077, 0.06780046224594116, 0.023891720920801163, 0.043950404971838, 0.02100212313234806, -0.01611996628344059, 0.037797681987285614, 0.0026843161322176456, 0.014341842383146286, 0.06219133734703064, 0.02944794110953808, -0.0123588303104043, -0.04529046639800072, -0.04964033141732216, 0.05158098042011261, 0.015277493745088577, -0.044744059443473816, 0.04012380167841911, -0.02012607268989086, 0.07109463959932327, -0.13752064108848572, 0.018845215439796448, 0.050320763140916824, -0.03947851434350014, -0.0419294498860836, 0.046798255294561386, 0.03940248861908913, 0.01684471033513546, 0.0662052258849144, -0.010976717807352543, -0.027264250442385674, 0.030596576631069183, 0.03631845489144325, -0.0006838152767159045, -0.0785338431596756, -0.023596037179231644, -0.0700099766254425, -0.020124994218349457, -0.053743962198495865, 0.013766375370323658, -0.05482962355017662, 0.006759354379028082, -0.05566176027059555, 0.06776848435401917, -0.17386938631534576, 0.10496817529201508, 0.03518584743142128, -0.10057666897773743, 0.05709521472454071, -0.06519991159439087, -0.022961124777793884, 0.03275585174560547, -0.055855683982372284, -0.04095853120088577, -0.03004726581275463, -0.00998691190034151, -0.028031015768647194, 0.05147809535264969, -0.003598955227062106, 0.0031189434230327606, 0.014250551350414753, -0.01984468288719654, 0.023967517539858818, -0.011599316261708736, 0.03638206049799919, -0.034888990223407745, -0.032175127416849136, -0.0055329990573227406, -0.039561301469802856, 0.034534089267253876, 0.11823668330907822, 0.00988488644361496, -0.04013780504465103, -0.07051878422498703, -0.06633683294057846, 0.022199533879756927, -0.015432311221957207, -0.002582646207883954, -0.019321298226714134, -0.05365202575922012, 0.02427605539560318, -0.008032528683543205, 0.032564643770456314, 0.047366950660943985, 0.002055494347587228, -0.09536124765872955, 0.03922637924551964, -0.01279860083013773, 0.13133898377418518, 0.042310796678066254, -0.028012512251734734, -0.0406082384288311, 0.010145970620214939, 0.07997539639472961, 0.033209141343832016, 0.1178390234708786, 0.020199960097670555, -0.08870082348585129, 0.05422648414969444, -0.08714613318443298, 0.04606759920716286, -0.025469856336712837, 0.0009590025874786079, -0.08199884742498398, 0.010215628892183304, -0.0060347761027514935, 0.059359289705753326, -0.07348677515983582, -0.008619016967713833, 0.010453963652253151, -0.032007522881031036, 0.006404750514775515, 0.08279697597026825, -0.12879496812820435, -0.025518834590911865, 0.0053339628502726555, 0.028941050171852112, 0.09375322610139847, 0.04551323503255844, -0.0383354015648365, -0.0019488678080961108, 2.7678893444362152e-33, -0.006524358876049519, 0.0014976940583437681, -0.02864931896328926, 0.06531459093093872, -0.02174448035657406, -0.021520113572478294, -0.0035822829231619835, 0.012909146957099438, -0.01960001327097416, 0.03831573948264122, 0.02175780199468136, 0.080129474401474, 0.00553216552361846, -0.000367591594113037, -0.003457708517089486, -0.007484137546271086, -0.07388387620449066, -0.016840294003486633, -0.019966574385762215, -0.025990324094891548, 0.0913095474243164, 0.0010931621072813869, -0.019881170243024826, 0.005118587054312229, -0.06365687400102615, 0.032619066536426544, 0.05094733089208603, -0.012770243920385838, -0.04837280139327049, 0.027401477098464966, -0.020655903965234756, -0.05089135840535164, -0.010295472107827663, -0.0009305565617978573, 0.026710184291005135, 0.03207440674304962, -0.05232915282249451, -0.05544532462954521, 0.06497855484485626, -0.0017528055468574166, -0.00006194596062414348, 0.037275657057762146, 0.004922524560242891, -0.02482414059340954, 0.007162462454289198, 0.015464233234524727, -0.09699052572250366, 0.07231154292821884, -0.0157930888235569, -0.06038055568933487, 0.04636814445257187, -0.005304460413753986, 0.04978132247924805, -0.028737764805555344, 0.061468031257390976, 0.018333587795495987, -0.054587993770837784, 0.08698949217796326, 0.017003091052174568, 0.12148092687129974, 0.0035652373917400837, 0.04739701747894287, -0.027944782748818398, 0.03168396279215813, -0.05437855422496796, 0.07596279680728912, -0.15820196270942688, 0.01419970951974392, 0.133823424577713, -0.029739201068878174, 0.0013618014054372907, 0.04540783166885376, -0.013046861626207829, 0.01980222389101982, 0.02462165802717209, -0.06566795706748962, -0.032517723739147186, -0.038492437452077866, 0.017427384853363037, 0.008589406497776508, -0.000657583586871624, 0.10303440690040588, -0.01639811135828495, 0.06338692456483841, 0.009741905145347118, -0.02879791148006916, 0.0018593212589621544, 0.0042824819684028625, -0.06414780765771866, -0.07952702790498734, -0.022313391789793968, 0.0029305201023817062, 0.03311711549758911, -0.007351027335971594, 0.018657702952623367, -5.935138200884917e-33, 0.024070097133517265, -0.036716341972351074, 0.03808144852519035, 0.017538664862513542, -0.05660880357027054, -0.010466319508850574, -0.016768639907240868, 0.05733921006321907, -0.021787593141198158, -0.0060469768941402435, 0.05855046585202217, -0.05471431091427803, 0.10053621977567673, -0.08137889206409454, -0.007317813578993082, -0.009932716377079487, -0.025208286941051483, -0.052644722163677216, -0.008099284954369068, 0.088102787733078, 0.06200695410370827, 0.061407025903463364, -0.09808183461427689, 0.036942824721336365, 0.022324025630950928, 0.008807956241071224, -0.030633704736828804, -0.01964757777750492, -0.002152978675439954, -0.04910030588507652, -0.019985381513834, -0.031927045434713364, -0.10136358439922333, 0.0003157984756398946, -0.050185009837150574, -0.0667879655957222, 0.07455617934465408, 0.026976516470313072, -0.08158423751592636, -0.03523235768079758, -0.07619079202413559, 0.040046244859695435, 0.012645347975194454, -0.11894239485263824, 0.031795255839824677, 0.02746611461043358, -0.002465527970343828, -0.026592694222927094, 0.04024744778871536, -0.07888178527355194, 0.040427107363939285, -0.07571754604578018, 0.03437186777591705, 0.02093222551047802, -0.010260047391057014, 0.022987281903624535, 0.005752529948949814, -0.0031697582453489304, -0.016017740592360497, 0.01089882105588913, -0.011831225827336311, 0.039141371846199036, 0.006349300965666771, 0.040181346237659454, 0.013254363089799881, 0.03388000652194023, -0.03949476778507233, -0.05088712275028229, -0.015412573702633381, -0.12212979048490524, 0.03247359022498131, -0.0202842578291893, -0.10403802245855331, -0.049822740256786346, 0.09995528310537338, 0.04541981592774391, 0.009317671880126, -0.045572903007268906, -0.0708756148815155, -0.08804988116025925, -0.01425514928996563, -0.08115886896848679, 0.02596808597445488, 0.04941432550549507, -0.0022767854388803244, 0.005799831822514534, -0.022234739735722542, -0.04346773400902748, -0.02265181764960289, 0.07036709040403366, -0.04480363801121712, 0.016359513625502586, -0.013554258272051811, 0.10398019105195999, -0.04310443252325058, -5.14820825969764e-8, -0.013771106489002705, 0.11758601665496826, -0.028639964759349823, 0.004612568765878677, 0.056765999644994736, -0.0022953974548727274, -0.06915773451328278, -0.09400775283575058, -0.034222107380628586, -0.006187936291098595, 0.07273051142692566, 0.0661800280213356, -0.07414333522319794, 0.027963872998952866, -0.05409514904022217, 0.061955492943525314, 0.04435169696807861, -0.05131395906209946, 0.026215974241495132, 0.052338629961013794, 0.015571325086057186, -0.027528954669833183, -0.001705046510323882, 0.04785832390189171, -0.004142879042774439, -0.036024585366249084, -0.03209829330444336, 0.03117649257183075, 0.03048323467373848, 0.033294614404439926, -0.04153101146221161, 0.07527627050876617, 0.02092919312417507, -0.06317538768053055, 0.08684543520212173, 0.026842879131436348, -0.027589423581957817, 0.01112400647252798, -0.015968116000294685, -0.006294522434473038, 0.03873583301901817, 0.0024142388720065355, -0.1391640156507492, 0.03124118782579899, 0.13911817967891693, 0.007806355133652687, -0.04755646362900734, -0.08109775185585022, -0.09206642210483551, 0.03308182582259178, 0.014074934646487236, 0.008519417606294155, 0.044360533356666565, 0.03385022282600403, -0.046633969992399216, 0.028010379523038864, -0.026043280959129333, -0.01032530702650547, 0.034116413444280624, 0.010203288868069649, 0.12034432590007782, 0.11006098985671997, 0.10255524516105652, -0.036799632012844086 ]
1402.0227
Seung Kyu Min
S. K. Min, A. Abedi, K. S. Kim, E.K.U. Gross
Is the molecular Berry phase an artifact of the Born-Oppenheimer approximation?
null
null
10.1103/PhysRevLett.113.263004
null
quant-ph physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We demonstrate that the molecular Berry phase and the corresponding non-analyticity in the electronic Born-Oppenheimer wavefunction is, in general, not a true topological feature of the exact solution of the full electron-nuclear Schr\"odinger equation. For a numerically exactly solvable model we show that a non-analyticity, and the associated geometric phase, only appear in the limit of infinite nuclear mass, while a perfectly smooth behavior is found for any finite nuclear mass.
[ { "created": "Sun, 2 Feb 2014 18:23:19 GMT", "version": "v1" } ]
2015-06-18
[ [ "Min", "S. K.", "" ], [ "Abedi", "A.", "" ], [ "Kim", "K. S.", "" ], [ "Gross", "E. K. U.", "" ] ]
[ -0.10098864883184433, 0.006233174353837967, -0.03556903824210167, 0.10983939468860626, 0.02917795442044735, 0.04899914562702179, -0.03417882323265076, -0.018491080030798912, -0.04699695110321045, 0.00902525708079338, 0.05195302516222, -0.037574734538793564, 0.0077561382204294205, -0.05621527135372162, 0.09267421811819077, -0.0584426112473011, -0.08321882039308548, -0.13947977125644684, 0.061123255640268326, 0.015566361136734486, -0.03520117327570915, 0.049849074333906174, 0.04488697275519371, -0.031860969960689545, 0.0030412133783102036, -0.011550264433026314, 0.12129998952150345, 0.014158051460981369, 0.07371825724840164, -0.018180692568421364, 0.08883313089609146, 0.06425566226243973, -0.04897783696651459, 0.016807131469249725, 0.009079854004085064, 0.030152998864650726, 0.011205282062292099, 0.0013463745126500726, 0.000825180730316788, -0.058692194521427155, 0.010804335586726665, 0.09711328893899918, -0.06014348566532135, 0.06964793801307678, 0.04249928519129753, -0.04541994258761406, 0.0552343875169754, -0.025674689561128616, -0.04307788610458374, -0.07337681949138641, 0.029221752658486366, 0.032027918845415115, -0.01341076660901308, -0.08212443441152573, 0.025539448484778404, 0.010753958486020565, 0.09170178323984146, -0.01582176797091961, 0.032698649913072586, 0.024785121902823448, 0.025089381262660027, -0.027973433956503868, 0.04402903467416763, -0.022368505597114563, 0.08164012432098389, -0.0016240761615335941, -0.0015317865181714296, -0.06707592308521271, 0.004942630883306265, 0.05195482820272446, -0.01106656901538372, -0.038102224469184875, -0.011064844205975533, 0.001148948329500854, -0.01864294521510601, -0.07933969050645828, -0.007821005769073963, 0.04823564365506172, -0.0004337855789344758, 0.13412681221961975, -0.09897730499505997, -0.06825040280818939, -0.001729109208099544, -0.036356642842292786, -0.03531760722398758, 0.03944980353116989, -0.09912489354610443, -0.0362706296145916, -0.03855456784367561, 0.02237715572118759, -0.05846923962235451, -0.026899706572294235, -0.05253300815820694, -0.053393468260765076, -0.016305897384881973, -0.025207048282027245, 0.08994579315185547, 0.02945546619594097, 0.03046538308262825, -0.022340886294841766, 0.060611069202423096, 0.013783968053758144, 0.04270787164568901, -0.01728859357535839, -0.027521349489688873, 0.013449867255985737, 0.03910398855805397, 0.012387196533381939, -0.13369521498680115, 0.06284221261739731, 0.08269376307725906, -0.015895364806056023, 0.08008766174316406, -0.024985767900943756, 0.009418007917702198, -0.024718143045902252, 0.04129648208618164, 0.018244562670588493, 0.07302872091531754, 0.026845650747418404, 0.006886202376335859, 0.12040470540523529, 0.046092383563518524, 0.07094520330429077, -0.08277846872806549, 0.019857065752148628, -0.005673099309206009, -1.5585445674833364e-34, 0.016240926459431648, -0.011774098500609398, -0.045671865344047546, 0.0172899067401886, 0.013083799742162228, 0.04949694126844406, 0.0035679356660693884, 0.018151625990867615, 0.004445504397153854, 0.04197104275226593, -0.07376822829246521, 0.004711376968771219, 0.10682326555252075, -0.06521493941545486, -0.06927931308746338, -0.0321226604282856, -0.05909787863492966, 0.05430484190583229, 0.012159498408436775, 0.055596064776182175, 0.0746021494269371, -0.010743340477347374, -0.003356711473315954, -0.03377367928624153, -0.05412712320685387, 0.0633859783411026, 0.07567181438207626, -0.029543474316596985, 0.049967072904109955, -0.0275129321962595, 0.07886633276939392, -0.003288869746029377, -0.03866264224052429, 0.04759950935840607, 0.0666157603263855, -0.019648825749754906, -0.07969284802675247, 0.016899989917874336, -0.04810209572315216, -0.03765995800495148, -0.050814710557460785, 0.014484280720353127, -0.004742572549730539, 0.09649631381034851, -0.02027960866689682, 0.05858521908521652, 0.08661381900310516, -0.004512392450124025, -0.007598335389047861, -0.04747743532061577, -0.07007067650556564, -0.029715396463871002, -0.015557179227471352, 0.04240827634930611, -0.019433284178376198, 0.028894439339637756, 0.09910868108272552, -0.011258641257882118, -0.04596468061208725, -0.038601115345954895, 0.07979066669940948, -0.031363628804683685, -0.06691811233758926, -0.04129047691822052, -0.04503237456083298, -0.0049416497349739075, -0.009577671997249126, -0.048731040209531784, 0.0909789502620697, -0.040039416402578354, 0.05002249404788017, 0.11589064449071884, 0.10215875506401062, -0.006518900860100985, 0.05290301889181137, -0.06710544973611832, 0.013332529924809933, -0.04141613095998764, -0.06633881479501724, 0.05354229733347893, 0.006729562766849995, -0.06131638586521149, -0.025612641125917435, 0.027467720210552216, 0.05852910131216049, -0.08432168513536453, -0.0629228726029396, -0.041616909205913544, -0.015908133238554, -0.021054036915302277, 0.004321741871535778, -0.0531730018556118, -0.008681593462824821, -0.0038511035963892937, 0.01503824070096016, -1.8165599296058147e-33, -0.02254118025302887, -0.024630345404148102, 0.05450175702571869, 0.012259732000529766, 0.012872305698692799, 0.020355384796857834, 0.002370069734752178, -0.04196173697710037, -0.02402506209909916, -0.08345422148704529, 0.10365340113639832, 0.05897986888885498, 0.024728136137127876, -0.062462352216243744, 0.0023135130759328604, 0.0014670464443042874, 0.015528745949268341, -0.0015962643083184958, 0.0710156261920929, 0.05596822872757912, -0.049988262355327606, -0.02902957610785961, 0.007974931038916111, -0.015892140567302704, 0.013668161816895008, 0.048454251140356064, -0.015673646703362465, -0.016166552901268005, 0.06823437660932541, 0.08483920246362686, 0.04922765493392944, -0.005735727492719889, -0.03447771817445755, -0.02904379367828369, -0.08829452842473984, 0.05384048447012901, -0.042125802487134933, 0.07810714840888977, -0.02496151253581047, 0.02213510498404503, 0.013574164360761642, 0.02156161330640316, -0.06039506196975708, 0.05180373042821884, 0.040272057056427, 0.014497365802526474, -0.025429923087358475, 0.016742730513215065, -0.040865298360586166, 0.04180052503943443, -0.04681835696101189, 0.00392973143607378, 0.055448517203330994, -0.027950022369623184, -0.036609452217817307, 0.009851614013314247, -0.07157084345817566, -0.0026709209196269512, 0.07196693867444992, -0.026373278349637985, -0.0035233974922448397, -0.09676705300807953, -0.016080379486083984, 0.08805906772613525, -0.0960671603679657, -0.03840789198875427, -0.038908105343580246, -0.0012617300963029265, -0.011066649109125137, -0.04615592584013939, -0.10937266051769257, -0.06967148929834366, 0.033663734793663025, 0.001980483066290617, 0.003795625874772668, -0.012049722485244274, 0.04637766629457474, -0.044327616691589355, -0.02922859974205494, -0.06080017611384392, 0.028950748965144157, 0.09012974053621292, -0.06678740680217743, -0.05208638310432434, 0.07953126728534698, -0.061507951468229294, -0.07338868081569672, 0.02611525170505047, -0.09264824539422989, -0.06655579805374146, -0.03258128836750984, 0.032274022698402405, -0.07607991248369217, -0.04113965854048729, 0.09270600229501724, -4.204621006920206e-8, 0.06738054007291794, -0.01246989518404007, 0.02566564455628395, -0.06602036952972412, 0.09311342984437943, -0.013283757492899895, -0.041972581297159195, -0.07254727929830551, 0.02541676163673401, 0.04515957459807396, -0.022679319605231285, 0.021247876808047295, -0.06878435611724854, -0.052073895931243896, -0.01965184323489666, 0.044129397720098495, 0.021770890802145004, 0.03198959305882454, 0.018856123089790344, 0.032199665904045105, -0.0001271315704798326, -0.016690287739038467, -0.08841610699892044, -0.04004095867276192, -0.027446910738945007, 0.006077461875975132, -0.06096046417951584, -0.060027264058589935, -0.037471089512109756, -0.04082600399851799, 0.015952585265040398, 0.02469244971871376, 0.027491867542266846, 0.10328391939401627, -0.04883730784058571, 0.015547642484307289, 0.025931967422366142, 0.08121342211961746, -0.05352348834276199, 0.004706868901848793, -0.012201163917779922, 0.0525674894452095, 0.027199311181902885, 0.02009330503642559, -0.03985045105218887, 0.08610851317644119, -0.059426821768283844, 0.14173752069473267, 0.061126574873924255, 0.06958115845918655, -0.04095269739627838, 0.07982061058282852, -0.03036670573055744, -0.03062470629811287, -0.018710099160671234, 0.041187137365341187, -0.09350619465112686, -0.04610230401158333, -0.0029108619783073664, 0.04812927916646004, 0.024815399199724197, -0.043223198503255844, 0.01504248846322298, -0.04760301858186722 ]
null
null
null
null
null
null
null
[ -0.10098864883184433, 0.006233174353837967, -0.03556903824210167, 0.10983939468860626, 0.02917795442044735, 0.04899914562702179, -0.03417882323265076, -0.018491080030798912, -0.04699695110321045, 0.00902525708079338, 0.05195302516222, -0.037574734538793564, 0.0077561382204294205, -0.05621527135372162, 0.09267421811819077, -0.0584426112473011, -0.08321882039308548, -0.13947977125644684, 0.061123255640268326, 0.015566361136734486, -0.03520117327570915, 0.049849074333906174, 0.04488697275519371, -0.031860969960689545, 0.0030412133783102036, -0.011550264433026314, 0.12129998952150345, 0.014158051460981369, 0.07371825724840164, -0.018180692568421364, 0.08883313089609146, 0.06425566226243973, -0.04897783696651459, 0.016807131469249725, 0.009079854004085064, 0.030152998864650726, 0.011205282062292099, 0.0013463745126500726, 0.000825180730316788, -0.058692194521427155, 0.010804335586726665, 0.09711328893899918, -0.06014348566532135, 0.06964793801307678, 0.04249928519129753, -0.04541994258761406, 0.0552343875169754, -0.025674689561128616, -0.04307788610458374, -0.07337681949138641, 0.029221752658486366, 0.032027918845415115, -0.01341076660901308, -0.08212443441152573, 0.025539448484778404, 0.010753958486020565, 0.09170178323984146, -0.01582176797091961, 0.032698649913072586, 0.024785121902823448, 0.025089381262660027, -0.027973433956503868, 0.04402903467416763, -0.022368505597114563, 0.08164012432098389, -0.0016240761615335941, -0.0015317865181714296, -0.06707592308521271, 0.004942630883306265, 0.05195482820272446, -0.01106656901538372, -0.038102224469184875, -0.011064844205975533, 0.001148948329500854, -0.01864294521510601, -0.07933969050645828, -0.007821005769073963, 0.04823564365506172, -0.0004337855789344758, 0.13412681221961975, -0.09897730499505997, -0.06825040280818939, -0.001729109208099544, -0.036356642842292786, -0.03531760722398758, 0.03944980353116989, -0.09912489354610443, -0.0362706296145916, -0.03855456784367561, 0.02237715572118759, -0.05846923962235451, -0.026899706572294235, -0.05253300815820694, -0.053393468260765076, -0.016305897384881973, -0.025207048282027245, 0.08994579315185547, 0.02945546619594097, 0.03046538308262825, -0.022340886294841766, 0.060611069202423096, 0.013783968053758144, 0.04270787164568901, -0.01728859357535839, -0.027521349489688873, 0.013449867255985737, 0.03910398855805397, 0.012387196533381939, -0.13369521498680115, 0.06284221261739731, 0.08269376307725906, -0.015895364806056023, 0.08008766174316406, -0.024985767900943756, 0.009418007917702198, -0.024718143045902252, 0.04129648208618164, 0.018244562670588493, 0.07302872091531754, 0.026845650747418404, 0.006886202376335859, 0.12040470540523529, 0.046092383563518524, 0.07094520330429077, -0.08277846872806549, 0.019857065752148628, -0.005673099309206009, -1.5585445674833364e-34, 0.016240926459431648, -0.011774098500609398, -0.045671865344047546, 0.0172899067401886, 0.013083799742162228, 0.04949694126844406, 0.0035679356660693884, 0.018151625990867615, 0.004445504397153854, 0.04197104275226593, -0.07376822829246521, 0.004711376968771219, 0.10682326555252075, -0.06521493941545486, -0.06927931308746338, -0.0321226604282856, -0.05909787863492966, 0.05430484190583229, 0.012159498408436775, 0.055596064776182175, 0.0746021494269371, -0.010743340477347374, -0.003356711473315954, -0.03377367928624153, -0.05412712320685387, 0.0633859783411026, 0.07567181438207626, -0.029543474316596985, 0.049967072904109955, -0.0275129321962595, 0.07886633276939392, -0.003288869746029377, -0.03866264224052429, 0.04759950935840607, 0.0666157603263855, -0.019648825749754906, -0.07969284802675247, 0.016899989917874336, -0.04810209572315216, -0.03765995800495148, -0.050814710557460785, 0.014484280720353127, -0.004742572549730539, 0.09649631381034851, -0.02027960866689682, 0.05858521908521652, 0.08661381900310516, -0.004512392450124025, -0.007598335389047861, -0.04747743532061577, -0.07007067650556564, -0.029715396463871002, -0.015557179227471352, 0.04240827634930611, -0.019433284178376198, 0.028894439339637756, 0.09910868108272552, -0.011258641257882118, -0.04596468061208725, -0.038601115345954895, 0.07979066669940948, -0.031363628804683685, -0.06691811233758926, -0.04129047691822052, -0.04503237456083298, -0.0049416497349739075, -0.009577671997249126, -0.048731040209531784, 0.0909789502620697, -0.040039416402578354, 0.05002249404788017, 0.11589064449071884, 0.10215875506401062, -0.006518900860100985, 0.05290301889181137, -0.06710544973611832, 0.013332529924809933, -0.04141613095998764, -0.06633881479501724, 0.05354229733347893, 0.006729562766849995, -0.06131638586521149, -0.025612641125917435, 0.027467720210552216, 0.05852910131216049, -0.08432168513536453, -0.0629228726029396, -0.041616909205913544, -0.015908133238554, -0.021054036915302277, 0.004321741871535778, -0.0531730018556118, -0.008681593462824821, -0.0038511035963892937, 0.01503824070096016, -1.8165599296058147e-33, -0.02254118025302887, -0.024630345404148102, 0.05450175702571869, 0.012259732000529766, 0.012872305698692799, 0.020355384796857834, 0.002370069734752178, -0.04196173697710037, -0.02402506209909916, -0.08345422148704529, 0.10365340113639832, 0.05897986888885498, 0.024728136137127876, -0.062462352216243744, 0.0023135130759328604, 0.0014670464443042874, 0.015528745949268341, -0.0015962643083184958, 0.0710156261920929, 0.05596822872757912, -0.049988262355327606, -0.02902957610785961, 0.007974931038916111, -0.015892140567302704, 0.013668161816895008, 0.048454251140356064, -0.015673646703362465, -0.016166552901268005, 0.06823437660932541, 0.08483920246362686, 0.04922765493392944, -0.005735727492719889, -0.03447771817445755, -0.02904379367828369, -0.08829452842473984, 0.05384048447012901, -0.042125802487134933, 0.07810714840888977, -0.02496151253581047, 0.02213510498404503, 0.013574164360761642, 0.02156161330640316, -0.06039506196975708, 0.05180373042821884, 0.040272057056427, 0.014497365802526474, -0.025429923087358475, 0.016742730513215065, -0.040865298360586166, 0.04180052503943443, -0.04681835696101189, 0.00392973143607378, 0.055448517203330994, -0.027950022369623184, -0.036609452217817307, 0.009851614013314247, -0.07157084345817566, -0.0026709209196269512, 0.07196693867444992, -0.026373278349637985, -0.0035233974922448397, -0.09676705300807953, -0.016080379486083984, 0.08805906772613525, -0.0960671603679657, -0.03840789198875427, -0.038908105343580246, -0.0012617300963029265, -0.011066649109125137, -0.04615592584013939, -0.10937266051769257, -0.06967148929834366, 0.033663734793663025, 0.001980483066290617, 0.003795625874772668, -0.012049722485244274, 0.04637766629457474, -0.044327616691589355, -0.02922859974205494, -0.06080017611384392, 0.028950748965144157, 0.09012974053621292, -0.06678740680217743, -0.05208638310432434, 0.07953126728534698, -0.061507951468229294, -0.07338868081569672, 0.02611525170505047, -0.09264824539422989, -0.06655579805374146, -0.03258128836750984, 0.032274022698402405, -0.07607991248369217, -0.04113965854048729, 0.09270600229501724, -4.204621006920206e-8, 0.06738054007291794, -0.01246989518404007, 0.02566564455628395, -0.06602036952972412, 0.09311342984437943, -0.013283757492899895, -0.041972581297159195, -0.07254727929830551, 0.02541676163673401, 0.04515957459807396, -0.022679319605231285, 0.021247876808047295, -0.06878435611724854, -0.052073895931243896, -0.01965184323489666, 0.044129397720098495, 0.021770890802145004, 0.03198959305882454, 0.018856123089790344, 0.032199665904045105, -0.0001271315704798326, -0.016690287739038467, -0.08841610699892044, -0.04004095867276192, -0.027446910738945007, 0.006077461875975132, -0.06096046417951584, -0.060027264058589935, -0.037471089512109756, -0.04082600399851799, 0.015952585265040398, 0.02469244971871376, 0.027491867542266846, 0.10328391939401627, -0.04883730784058571, 0.015547642484307289, 0.025931967422366142, 0.08121342211961746, -0.05352348834276199, 0.004706868901848793, -0.012201163917779922, 0.0525674894452095, 0.027199311181902885, 0.02009330503642559, -0.03985045105218887, 0.08610851317644119, -0.059426821768283844, 0.14173752069473267, 0.061126574873924255, 0.06958115845918655, -0.04095269739627838, 0.07982061058282852, -0.03036670573055744, -0.03062470629811287, -0.018710099160671234, 0.041187137365341187, -0.09350619465112686, -0.04610230401158333, -0.0029108619783073664, 0.04812927916646004, 0.024815399199724197, -0.043223198503255844, 0.01504248846322298, -0.04760301858186722 ]
1402.0237
Helmut Katzgraber
M. A. Moore and Helmut G. Katzgraber
Dealing with correlated choices: How a spin-glass model can help political parties select their policies
8 pages, 2 figures
Phys. Rev. E 90, 042117 (2014)
10.1103/PhysRevE.90.042117
null
cond-mat.dis-nn physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Starting from preferences on N proposed policies obtained via questionnaires from a sample of the electorate, an Ising spin-glass model in a field can be constructed from which a political party could find the subset of the proposed policies which would maximize its appeal, form a coherent choice in the eyes of the electorate, and have maximum overlap with the party's existing policies. We illustrate the application of the procedure by simulations of a spin glass in a random field on scale-free networks.
[ { "created": "Sun, 2 Feb 2014 19:42:47 GMT", "version": "v1" }, { "created": "Thu, 9 Oct 2014 20:08:27 GMT", "version": "v2" } ]
2014-10-13
[ [ "Moore", "M. A.", "" ], [ "Katzgraber", "Helmut G.", "" ] ]
[ 0.014945488423109055, -0.05172516405582428, 0.02142193727195263, -0.057731859385967255, 0.044286098331213, 0.054934311658144, 0.035450611263513565, -0.021685995161533356, -0.005066834855824709, 0.04506693035364151, -0.07217305153608322, 0.04636772349476814, 0.006897596176713705, -0.006020373664796352, -0.004849499091506004, -0.03560677915811539, -0.019267670810222626, -0.037268880754709244, -0.033584583550691605, 0.04666007310152054, -0.042485643178224564, -0.07381243258714676, -0.0009358310489915311, -0.03303888812661171, 0.04590775445103645, -0.08346468210220337, 0.08676252514123917, 0.014644645154476166, 0.01619705930352211, -0.04050179570913315, 0.11456241458654404, 0.04950762167572975, -0.0060113403014838696, -0.0531984344124794, -0.033876050263643265, -0.0810772180557251, -0.09319248050451279, -0.05923271179199219, -0.0019441766198724508, 0.027054714038968086, 0.007597938179969788, 0.03152615204453468, -0.014737267047166824, 0.043896790593862534, 0.04317093268036842, 0.014169428497552872, 0.06263307482004166, 0.06460385769605637, 0.022502413019537926, -0.015489142388105392, -0.022444048896431923, 0.001058813533745706, -0.031748875975608826, -0.06770647317171097, 0.113429956138134, -0.032138291746377945, -0.008158507756888866, -0.018240435048937798, -0.04882672056555748, 0.006492617540061474, 0.027069205418229103, -0.05939071625471115, -0.09252573549747467, 0.07737135142087936, 0.01723661459982395, 0.09853339195251465, -0.04765857011079788, 0.10652057826519012, -0.0015325343701988459, -0.042186107486486435, 0.013303275220096111, 0.026888564229011536, -0.051622651517391205, 0.01466915849596262, 0.053286172449588776, -0.024132970720529556, -0.021313637495040894, 0.020510554313659668, 0.009167787618935108, 0.013643416576087475, -0.10516872256994247, -0.04242515191435814, 0.0015155496075749397, 0.0008659930899739265, 0.04943542182445526, -0.0789586752653122, -0.058244336396455765, -0.007366494741290808, 0.055858634412288666, 0.006592127960175276, -0.09709881246089935, 0.10664334893226624, -0.002936938311904669, -0.02338511124253273, 0.01984882727265358, 0.07270049303770065, 0.024693666025996208, -0.06352587789297104, -0.055849116295576096, 0.07511360943317413, -0.031391441822052, -0.062234338372945786, 0.01072168629616499, -0.0029415334574878216, -0.015363705344498158, -0.07326308637857437, -0.001604295801371336, 0.0394325815141201, 0.08480280637741089, 0.0005838567158207297, -0.046113498508930206, -0.0059906914830207825, 0.06795260310173035, 0.026402316987514496, -0.022312041372060776, -0.12020272761583328, 0.06322815269231796, -0.015843266621232033, -0.010220278985798359, 0.06953965872526169, 0.001855639275163412, -0.03538256883621216, -0.0030702699441462755, -0.06498368829488754, 0.0007930154097266495, 0.04926447942852974, -0.03406408429145813, -1.727127584711286e-33, -0.03008386865258217, 0.01532681006938219, -0.010836494155228138, 0.04169440269470215, 0.050180625170469284, 0.07553667575120926, 0.027543989941477776, -0.09290792047977448, -0.035750243812799454, 0.004721706733107567, -0.007888282649219036, 0.08122056722640991, 0.025190290063619614, 0.027923880144953728, 0.11130226403474808, -0.10563968867063522, -0.011280478909611702, 0.09809775650501251, 0.025728600099682808, -0.05809178948402405, -0.021420316770672798, 0.028728675097227097, -0.0009650539723224938, 0.026457075029611588, 0.011806881986558437, -0.0799330472946167, -0.019049856811761856, 0.004950225818902254, -0.04747690260410309, 0.008470668457448483, 0.05592760071158409, 0.05507773533463478, -0.04948893189430237, 0.042987123131752014, -0.04338066279888153, 0.007418336346745491, 0.008443217724561691, -0.03390124812722206, -0.023803750053048134, -0.07191453874111176, -0.01060277409851551, -0.005337165202945471, 0.10607853531837463, 0.06776188313961029, -0.045332636684179306, 0.018471812829375267, 0.005443360190838575, 0.01656743325293064, -0.04047884792089462, -0.06063468009233475, 0.0747232660651207, 0.0010369963711127639, 0.019572211429476738, -0.03208119422197342, 0.018842153251171112, -0.0005025254213251173, -0.03453363478183746, 0.038545381277799606, -0.01885765604674816, -0.0512632355093956, 0.035257432609796524, -0.008442237041890621, -0.038190703839063644, 0.034482747316360474, 0.03407878428697586, 0.127682626247406, -0.12011507153511047, -0.10424184799194336, 0.0876498743891716, -0.04419076815247536, 0.055955588817596436, 0.04945051670074463, -0.09623734652996063, -0.02931925095617771, -0.0889686718583107, 0.024975894019007683, -0.06204061582684517, 0.00999454315751791, -0.02649034932255745, 0.028018362820148468, -0.022925592958927155, -0.05266701057553291, -0.06347345560789108, -0.11681562662124634, -0.019683176651597023, 0.03374842181801796, 0.08674357831478119, -0.04970273748040199, 0.014091514982283115, -0.0636502131819725, -0.03664239123463631, -0.031868912279605865, 0.04616467282176018, 0.007104680873453617, 0.03541373461484909, -7.454004828993461e-35, -0.16606631875038147, -0.05119903385639191, 0.06276793032884598, 0.06418558955192566, 0.09017638117074966, 0.03675742447376251, 0.04091606289148331, -0.06225315481424332, 0.06376457214355469, -0.0602731853723526, -0.056678179651498795, -0.005899520590901375, 0.06966488808393478, -0.009963943623006344, 0.014957047067582607, -0.04773102328181267, 0.06906061619520187, -0.04654086381196976, 0.06087362766265869, 0.033970076590776443, 0.07366303354501724, 0.03567066788673401, -0.09872826933860779, 0.0670274868607521, 0.0011255954159423709, -0.01342372503131628, -0.02465439960360527, -0.0788804292678833, 0.022714009508490562, 0.04137852415442467, -0.07701221853494644, -0.06371629983186722, -0.0738850086927414, 0.027823058888316154, 0.04317288100719452, 0.09780733287334442, 0.025873787701129913, -0.038519397377967834, -0.07486139237880707, -0.0003776756930164993, -0.006034553050994873, -0.08938833326101303, -0.013700809329748154, 0.026989514008164406, -0.03990013897418976, -0.05157723277807236, -0.03910860791802406, 0.04883366450667381, -0.013871032744646072, -0.006539247930049896, -0.05034353956580162, 0.09494045376777649, 0.030737508088350296, 0.08771046996116638, -0.059834323823451996, -0.026772506535053253, -0.03292293846607208, 0.02006765455007553, 0.09630771726369858, 0.02545742690563202, -0.025699004530906677, -0.011814471334218979, -0.04041633382439613, -0.03802959620952606, -0.024618947878479958, -0.007841586135327816, -0.05343075841665268, -0.04011029005050659, 0.09436400979757309, -0.018145093694329262, -0.014517365023493767, -0.02555658668279648, -0.028396399691700935, 0.051721684634685516, 0.01148022711277008, -0.012484623119235039, 0.05306767672300339, 0.06793027371168137, -0.0029553105123341084, 0.03810497373342514, -0.016642024740576744, 0.08307024836540222, 0.0061250114813447, -0.0379524827003479, 0.09490397572517395, -0.12609955668449402, 0.04604148492217064, -0.004871520213782787, 0.03439105674624443, -0.005805262830108404, 0.014918026514351368, -0.019256943836808205, 0.06934401392936707, 0.004435416776686907, -0.029459476470947266, -4.0971738002326674e-8, 0.0038891981821507215, -0.0212685726583004, 0.10279104858636856, 0.07059325277805328, 0.027796093374490738, 0.02964921109378338, 0.03511030972003937, -0.06945733726024628, -0.04866944998502731, 0.021859271451830864, 0.07391130924224854, 0.08978854864835739, -0.054789286106824875, -0.027589162811636925, 0.004524284973740578, 0.029177503660321236, -0.015246796421706676, 0.06407468765974045, -0.033578574657440186, -0.012535924091935158, 0.04925877973437309, -0.018487270921468735, 0.011394265107810497, 0.027818704023957253, 0.025661466643214226, 0.05707763880491257, -0.0827522799372673, -0.07229162752628326, 0.03622904419898987, 0.11872635036706924, -0.01584761217236519, -0.05035934969782829, 0.03259801119565964, 0.04538746550679207, -0.035097673535346985, 0.06661617010831833, -0.08275031298398972, 0.04811640456318855, 0.06023349240422249, 0.0036030621267855167, 0.021034056320786476, -0.054460395127534866, 0.026775334030389786, 0.012462947517633438, -0.04047654941678047, -0.007047728169709444, -0.05450953170657158, 0.007009525317698717, 0.05097781866788864, -0.01817428134381771, 0.04180825129151344, -0.0052508083172142506, 0.0025376316625624895, -0.011287838220596313, 0.047789283096790314, -0.009536106139421463, 0.052252840250730515, 0.04626685008406639, 0.006019460503011942, 0.06633680313825607, 0.012188502587378025, 0.040315303951501846, -0.08755016326904297, -0.03085845150053501 ]
null
null
null
null
null
null
null
[ 0.014945488423109055, -0.05172516405582428, 0.02142193727195263, -0.057731859385967255, 0.044286098331213, 0.054934311658144, 0.035450611263513565, -0.021685995161533356, -0.005066834855824709, 0.04506693035364151, -0.07217305153608322, 0.04636772349476814, 0.006897596176713705, -0.006020373664796352, -0.004849499091506004, -0.03560677915811539, -0.019267670810222626, -0.037268880754709244, -0.033584583550691605, 0.04666007310152054, -0.042485643178224564, -0.07381243258714676, -0.0009358310489915311, -0.03303888812661171, 0.04590775445103645, -0.08346468210220337, 0.08676252514123917, 0.014644645154476166, 0.01619705930352211, -0.04050179570913315, 0.11456241458654404, 0.04950762167572975, -0.0060113403014838696, -0.0531984344124794, -0.033876050263643265, -0.0810772180557251, -0.09319248050451279, -0.05923271179199219, -0.0019441766198724508, 0.027054714038968086, 0.007597938179969788, 0.03152615204453468, -0.014737267047166824, 0.043896790593862534, 0.04317093268036842, 0.014169428497552872, 0.06263307482004166, 0.06460385769605637, 0.022502413019537926, -0.015489142388105392, -0.022444048896431923, 0.001058813533745706, -0.031748875975608826, -0.06770647317171097, 0.113429956138134, -0.032138291746377945, -0.008158507756888866, -0.018240435048937798, -0.04882672056555748, 0.006492617540061474, 0.027069205418229103, -0.05939071625471115, -0.09252573549747467, 0.07737135142087936, 0.01723661459982395, 0.09853339195251465, -0.04765857011079788, 0.10652057826519012, -0.0015325343701988459, -0.042186107486486435, 0.013303275220096111, 0.026888564229011536, -0.051622651517391205, 0.01466915849596262, 0.053286172449588776, -0.024132970720529556, -0.021313637495040894, 0.020510554313659668, 0.009167787618935108, 0.013643416576087475, -0.10516872256994247, -0.04242515191435814, 0.0015155496075749397, 0.0008659930899739265, 0.04943542182445526, -0.0789586752653122, -0.058244336396455765, -0.007366494741290808, 0.055858634412288666, 0.006592127960175276, -0.09709881246089935, 0.10664334893226624, -0.002936938311904669, -0.02338511124253273, 0.01984882727265358, 0.07270049303770065, 0.024693666025996208, -0.06352587789297104, -0.055849116295576096, 0.07511360943317413, -0.031391441822052, -0.062234338372945786, 0.01072168629616499, -0.0029415334574878216, -0.015363705344498158, -0.07326308637857437, -0.001604295801371336, 0.0394325815141201, 0.08480280637741089, 0.0005838567158207297, -0.046113498508930206, -0.0059906914830207825, 0.06795260310173035, 0.026402316987514496, -0.022312041372060776, -0.12020272761583328, 0.06322815269231796, -0.015843266621232033, -0.010220278985798359, 0.06953965872526169, 0.001855639275163412, -0.03538256883621216, -0.0030702699441462755, -0.06498368829488754, 0.0007930154097266495, 0.04926447942852974, -0.03406408429145813, -1.727127584711286e-33, -0.03008386865258217, 0.01532681006938219, -0.010836494155228138, 0.04169440269470215, 0.050180625170469284, 0.07553667575120926, 0.027543989941477776, -0.09290792047977448, -0.035750243812799454, 0.004721706733107567, -0.007888282649219036, 0.08122056722640991, 0.025190290063619614, 0.027923880144953728, 0.11130226403474808, -0.10563968867063522, -0.011280478909611702, 0.09809775650501251, 0.025728600099682808, -0.05809178948402405, -0.021420316770672798, 0.028728675097227097, -0.0009650539723224938, 0.026457075029611588, 0.011806881986558437, -0.0799330472946167, -0.019049856811761856, 0.004950225818902254, -0.04747690260410309, 0.008470668457448483, 0.05592760071158409, 0.05507773533463478, -0.04948893189430237, 0.042987123131752014, -0.04338066279888153, 0.007418336346745491, 0.008443217724561691, -0.03390124812722206, -0.023803750053048134, -0.07191453874111176, -0.01060277409851551, -0.005337165202945471, 0.10607853531837463, 0.06776188313961029, -0.045332636684179306, 0.018471812829375267, 0.005443360190838575, 0.01656743325293064, -0.04047884792089462, -0.06063468009233475, 0.0747232660651207, 0.0010369963711127639, 0.019572211429476738, -0.03208119422197342, 0.018842153251171112, -0.0005025254213251173, -0.03453363478183746, 0.038545381277799606, -0.01885765604674816, -0.0512632355093956, 0.035257432609796524, -0.008442237041890621, -0.038190703839063644, 0.034482747316360474, 0.03407878428697586, 0.127682626247406, -0.12011507153511047, -0.10424184799194336, 0.0876498743891716, -0.04419076815247536, 0.055955588817596436, 0.04945051670074463, -0.09623734652996063, -0.02931925095617771, -0.0889686718583107, 0.024975894019007683, -0.06204061582684517, 0.00999454315751791, -0.02649034932255745, 0.028018362820148468, -0.022925592958927155, -0.05266701057553291, -0.06347345560789108, -0.11681562662124634, -0.019683176651597023, 0.03374842181801796, 0.08674357831478119, -0.04970273748040199, 0.014091514982283115, -0.0636502131819725, -0.03664239123463631, -0.031868912279605865, 0.04616467282176018, 0.007104680873453617, 0.03541373461484909, -7.454004828993461e-35, -0.16606631875038147, -0.05119903385639191, 0.06276793032884598, 0.06418558955192566, 0.09017638117074966, 0.03675742447376251, 0.04091606289148331, -0.06225315481424332, 0.06376457214355469, -0.0602731853723526, -0.056678179651498795, -0.005899520590901375, 0.06966488808393478, -0.009963943623006344, 0.014957047067582607, -0.04773102328181267, 0.06906061619520187, -0.04654086381196976, 0.06087362766265869, 0.033970076590776443, 0.07366303354501724, 0.03567066788673401, -0.09872826933860779, 0.0670274868607521, 0.0011255954159423709, -0.01342372503131628, -0.02465439960360527, -0.0788804292678833, 0.022714009508490562, 0.04137852415442467, -0.07701221853494644, -0.06371629983186722, -0.0738850086927414, 0.027823058888316154, 0.04317288100719452, 0.09780733287334442, 0.025873787701129913, -0.038519397377967834, -0.07486139237880707, -0.0003776756930164993, -0.006034553050994873, -0.08938833326101303, -0.013700809329748154, 0.026989514008164406, -0.03990013897418976, -0.05157723277807236, -0.03910860791802406, 0.04883366450667381, -0.013871032744646072, -0.006539247930049896, -0.05034353956580162, 0.09494045376777649, 0.030737508088350296, 0.08771046996116638, -0.059834323823451996, -0.026772506535053253, -0.03292293846607208, 0.02006765455007553, 0.09630771726369858, 0.02545742690563202, -0.025699004530906677, -0.011814471334218979, -0.04041633382439613, -0.03802959620952606, -0.024618947878479958, -0.007841586135327816, -0.05343075841665268, -0.04011029005050659, 0.09436400979757309, -0.018145093694329262, -0.014517365023493767, -0.02555658668279648, -0.028396399691700935, 0.051721684634685516, 0.01148022711277008, -0.012484623119235039, 0.05306767672300339, 0.06793027371168137, -0.0029553105123341084, 0.03810497373342514, -0.016642024740576744, 0.08307024836540222, 0.0061250114813447, -0.0379524827003479, 0.09490397572517395, -0.12609955668449402, 0.04604148492217064, -0.004871520213782787, 0.03439105674624443, -0.005805262830108404, 0.014918026514351368, -0.019256943836808205, 0.06934401392936707, 0.004435416776686907, -0.029459476470947266, -4.0971738002326674e-8, 0.0038891981821507215, -0.0212685726583004, 0.10279104858636856, 0.07059325277805328, 0.027796093374490738, 0.02964921109378338, 0.03511030972003937, -0.06945733726024628, -0.04866944998502731, 0.021859271451830864, 0.07391130924224854, 0.08978854864835739, -0.054789286106824875, -0.027589162811636925, 0.004524284973740578, 0.029177503660321236, -0.015246796421706676, 0.06407468765974045, -0.033578574657440186, -0.012535924091935158, 0.04925877973437309, -0.018487270921468735, 0.011394265107810497, 0.027818704023957253, 0.025661466643214226, 0.05707763880491257, -0.0827522799372673, -0.07229162752628326, 0.03622904419898987, 0.11872635036706924, -0.01584761217236519, -0.05035934969782829, 0.03259801119565964, 0.04538746550679207, -0.035097673535346985, 0.06661617010831833, -0.08275031298398972, 0.04811640456318855, 0.06023349240422249, 0.0036030621267855167, 0.021034056320786476, -0.054460395127534866, 0.026775334030389786, 0.012462947517633438, -0.04047654941678047, -0.007047728169709444, -0.05450953170657158, 0.007009525317698717, 0.05097781866788864, -0.01817428134381771, 0.04180825129151344, -0.0052508083172142506, 0.0025376316625624895, -0.011287838220596313, 0.047789283096790314, -0.009536106139421463, 0.052252840250730515, 0.04626685008406639, 0.006019460503011942, 0.06633680313825607, 0.012188502587378025, 0.040315303951501846, -0.08755016326904297, -0.03085845150053501 ]
1402.0238
Vincent Labatut
Burcu Kantarc{\i}, Vincent Labatut
Classification of Complex Networks Based on Topological Properties
null
3rd Conference on Social Computing and its Applications, Karlsruhe : Germany (2013)
10.1109/CGC.2013.54
null
cs.SI physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to characterize them using various measures such as degree distribution, transitivity or average distance. Their goal is to detect certain properties such as the small-world or scale-free properties. Previous works have shown some of these properties are present in many different systems, while others are characteristic of certain types of systems only. However, each one of these studies generally focuses on a very small number of topological measures and networks. In this work, we aim at using a more systematic approach. We first constitute a dataset of 152 publicly available networks, spanning over 7 different domains. We then process 14 different topological measures to characterize them in the most possible complete way. Finally, we apply standard data mining tools to analyze these data. A cluster analysis reveals it is possible to obtain two significantly distinct clusters of networks, corresponding roughly to a bisection of the domains modeled by the networks. On these data, the most discriminant measures are density, modularity, average degree and transitivity, and at a lesser extent, closeness and edgebetweenness centralities.Abstract--Complex networks are a powerful modeling tool, allowing the study of countless real-world systems. They have been used in very different domains such as computer science, biology, sociology, management, etc. Authors have been trying to characterize them using various measures such as degree distribution, transitivity or average distance. Their goal is to detect certain properties such as the small-world or scale-free properties. Previous works have shown some of these properties are present in many different systems, while others are characteristic of certain types of systems only. However, each one of these studies generally focuses on a very small number of topological measures and networks. In this work, we aim at using a more systematic approach. We first constitute a dataset of 152 publicly available networks, spanning over 7 different domains. We then process 14 different topological measures to characterize them in the most possible complete way. Finally, we apply standard data mining tools to analyze these data. A cluster analysis reveals it is possible to obtain two significantly distinct clusters of networks, corresponding roughly to a bisection of the domains modeled by the networks. On these data, the most discriminant measures are density, modularity, average degree and transitivity, and at a lesser extent, closeness and edgebetweenness centralities.
[ { "created": "Sun, 2 Feb 2014 19:48:52 GMT", "version": "v1" } ]
2014-02-04
[ [ "Kantarcı", "Burcu", "" ], [ "Labatut", "Vincent", "" ] ]
[ 0.056089356541633606, -0.08115138858556747, -0.044539302587509155, 0.014933980070054531, 0.05903172865509987, -0.01736426167190075, -0.011394230648875237, -0.0409514456987381, 0.0645177885890007, -0.014364377595484257, 0.04062891751527786, -0.09075065702199936, 0.033581655472517014, 0.059814341366291046, -0.0518304705619812, -0.040636833757162094, 0.027680665254592896, 0.002152626169845462, -0.039919592440128326, -0.023980798199772835, -0.02096031792461872, 0.03406711295247078, -0.030851071700453758, 0.006157543044537306, 0.04946204647421837, 0.004319281782954931, 0.017993824556469917, -0.013210229575634003, -0.029342932626605034, -0.006438204552978277, 0.0378873310983181, 0.045255277305841446, 0.023661576211452484, -0.02607966773211956, 0.029427476227283478, -0.0009315162897109985, 0.03480497747659683, 0.05817273631691933, 0.027393324300646782, -0.01618497632443905, 0.0833984762430191, 0.019020523875951767, 0.12492017447948456, 0.011433858424425125, -0.030497141182422638, 0.06699434667825699, -0.07635428011417389, -0.025958294048905373, -0.08677715808153152, -0.061188336461782455, -0.042962562292814255, -0.0069550336338579655, -0.02790837362408638, 0.0675509050488472, 0.11708303540945053, -0.016724061220884323, 0.04040055349469185, -0.051304545253515244, -0.009996745735406876, -0.04171311855316162, 0.0812319815158844, -0.07192856818437576, -0.03500579297542572, -0.012889117002487183, 0.04310917109251022, 0.11426715552806854, 0.04348106309771538, 0.12682679295539856, 0.04415871575474739, -0.030294431373476982, 0.020536014810204506, 0.042096514254808426, -0.12555164098739624, 0.08440807461738586, 0.08642752468585968, 0.020438455045223236, -0.005910790525376797, 0.04768890514969826, -0.038534801453351974, -0.0540320985019207, -0.040920570492744446, 0.005999021232128143, 0.03231904283165932, 0.026641380041837692, 0.026475680992007256, -0.01285665575414896, 0.005579246208071709, -0.054638031870126724, -0.0050490302965044975, 0.028378775343298912, -0.06027919054031372, 0.11153793334960938, -0.004603236448019743, -0.05563155189156532, -0.033593613654375076, 0.010716991499066353, 0.0019907616078853607, -0.11122547090053558, 0.06679694354534149, 0.0962350144982338, -0.057554133236408234, -0.005031577777117491, 0.06791749596595764, -0.07040922343730927, 0.04959561303257942, 0.09600949287414551, 0.03387712687253952, 0.00005979307024972513, 0.04829567298293114, 0.010879605077207088, -0.042211804538965225, 0.009220583364367485, -0.07429806888103485, -0.0024416681844741106, 0.039533451199531555, -0.05166490003466606, 0.05617518350481987, -0.005081906449049711, 0.06166302040219307, 0.053125035017728806, -0.031603239476680756, 0.009830349124968052, 0.007412437349557877, -0.08911218494176865, 0.08878860622644424, 0.048751745373010635, -0.06965427845716476, 3.278908881162319e-33, 0.05673282593488693, -0.025802506133913994, -0.008527700789272785, 0.02171992138028145, 0.05664004758000374, -0.029651617631316185, -0.07093016803264618, -0.059934768825769424, 0.052253611385822296, 0.03769968822598457, -0.06575838476419449, 0.16190879046916962, 0.021033303812146187, -0.008259318768978119, 0.14740677177906036, 0.0224513728171587, 0.08775486052036285, -0.008584966883063316, 0.03031575307250023, -0.08047091215848923, 0.031136900186538696, -0.07593376189470291, 0.01129959151148796, 0.023267049342393875, 0.024390190839767456, -0.08427122980356216, -0.02277260646224022, -0.0016526971012353897, 0.016502393409609795, -0.006670934148132801, 0.003245668951421976, 0.05868737772107124, 0.027140755206346512, 0.034199319779872894, -0.009321794845163822, 0.034245166927576065, -0.019278714433312416, -0.024894390255212784, -0.045051392167806625, -0.07973206043243408, -0.043792590498924255, -0.008832699619233608, -0.0505705289542675, 0.005567041225731373, 0.006603849120438099, -0.031585294753313065, -0.010186267085373402, -0.011305099353194237, 0.08135582506656647, -0.05014999955892563, 0.058912817388772964, -0.07516635954380035, 0.08484749495983124, -0.02252926491200924, -0.0745316743850708, 0.06569093465805054, -0.022826245054602623, 0.048540208488702774, 0.08767979592084885, 0.0920737236738205, -0.029605058953166008, -0.050526898354291916, 0.01710580289363861, 0.010423135943710804, 0.09185529500246048, 0.009104559198021889, -0.08377320319414139, 0.01701008714735508, 0.07629197090864182, -0.015236424282193184, -0.009462994523346424, 0.03720046207308769, -0.05521754175424576, -0.05652949586510658, 0.02330883964896202, 0.007189556956291199, -0.0797092616558075, -0.08891519159078598, -0.0721232146024704, 0.06771699339151382, -0.03646145388484001, 0.012904834002256393, -0.035845667123794556, -0.03930524364113808, -0.016659900546073914, -0.02987172268331051, 0.047582436352968216, 0.01254599541425705, -0.012685948982834816, -0.017631806433200836, -0.07642287015914917, 0.0015042877057567239, -0.00042017229134216905, 0.02276836335659027, 0.02485068514943123, -3.5494118044636205e-33, -0.09541840851306915, -0.003890033345669508, 0.046014685183763504, 0.06314307451248169, 0.008029693737626076, -0.046218015253543854, -0.04637432470917702, 0.038883935660123825, -0.04887701943516731, -0.022288918495178223, 0.025224415585398674, -0.03667007014155388, 0.029330214485526085, -0.044403307139873505, 0.029211148619651794, 0.03661883622407913, 0.0010536188492551446, -0.08924812823534012, 0.02650480531156063, 0.01792949251830578, 0.008969761431217194, 0.016641991212964058, -0.12405702471733093, -0.01788763888180256, 0.042187388986349106, 0.02687394991517067, -0.06411322951316833, -0.03792993724346161, -0.04158194363117218, 0.08186803013086319, -0.06822972744703293, 0.0013239391846582294, -0.043749794363975525, 0.029374336823821068, -0.006438661832362413, 0.03781033679842949, 0.007667548954486847, 0.01324967946857214, -0.009407334960997105, -0.02480687014758587, -0.029900457710027695, -0.0011983101721853018, -0.11523382365703583, 0.009703224524855614, 0.06251633167266846, 0.00025346563779748976, -0.004350499249994755, 0.02274731919169426, -0.05248614400625229, -0.011776006780564785, 0.005247609224170446, 0.0713009163737297, 0.0007553191389888525, 0.004090474918484688, -0.005665079224854708, 0.02132580243051052, -0.022957071661949158, 0.006857960019260645, -0.00826988834887743, 0.0014551487984135747, -0.030568720772862434, -0.14062601327896118, -0.05275101959705353, 0.08876970410346985, -0.04916169121861458, -0.06692160665988922, 0.04987328499555588, -0.06200922653079033, -0.11252766102552414, 0.051032986491918564, 0.043935783207416534, 0.00833973940461874, 0.019873224198818207, -0.059741321951150894, -0.030613573268055916, -0.03266996890306473, 0.09659502655267715, 0.08047177642583847, -0.046731941401958466, 0.055745191872119904, -0.004026283510029316, 0.0367526039481163, -0.023147527128458023, -0.059569742530584335, 0.057382550090551376, -0.02028675377368927, 0.006263254210352898, 0.005915523506700993, 0.06843577325344086, 0.0385783426463604, -0.02273821271955967, 0.00918472558259964, -0.0723848044872284, -0.017075756564736366, -0.04173281043767929, -4.996117297650926e-8, -0.04628046229481697, -0.04781199246644974, -0.019521063193678856, -0.045700401067733765, 0.00559828570112586, 0.10324715822935104, -0.014571521431207657, 0.06338579952716827, -0.07888065278530121, 0.09031912684440613, 0.06781698018312454, 0.024542761966586113, -0.0888061374425888, 0.031006649136543274, -0.04311847686767578, -0.008587799966335297, 0.02350417524576187, -0.03612089529633522, -0.03590165823698044, 0.005153801757842302, -0.006880271248519421, 0.007318641059100628, -0.004213008563965559, 0.036857135593891144, 0.044397950172424316, -0.08228598535060883, -0.048080924898386, -0.06413398683071136, -0.027155069634318352, -0.006668222136795521, 0.033584438264369965, -0.02714831940829754, 0.04763349890708923, -0.03381148353219032, -0.038188233971595764, 0.14768321812152863, 0.019444134086370468, 0.04126516729593277, -0.040355194360017776, 0.0811147689819336, 0.04945913329720497, -0.02518937923014164, -0.005841618869453669, 0.02557450346648693, 0.03766205161809921, -0.04849857836961746, 0.05809510126709938, 0.10355346649885178, 0.07300722599029541, -0.06480979919433594, -0.043618444353342056, -0.02738882414996624, -0.040681853890419006, -0.008321504108607769, -0.054652269929647446, -0.00020776184101123363, -0.00027828573365695775, -0.017588535323739052, 0.05671479180455208, -0.007566400337964296, 0.04301004856824875, -0.06800752878189087, -0.07701783627271652, -0.05863935500383377 ]
null
null
null
null
null
null
null
[ 0.056089356541633606, -0.08115138858556747, -0.044539302587509155, 0.014933980070054531, 0.05903172865509987, -0.01736426167190075, -0.011394230648875237, -0.0409514456987381, 0.0645177885890007, -0.014364377595484257, 0.04062891751527786, -0.09075065702199936, 0.033581655472517014, 0.059814341366291046, -0.0518304705619812, -0.040636833757162094, 0.027680665254592896, 0.002152626169845462, -0.039919592440128326, -0.023980798199772835, -0.02096031792461872, 0.03406711295247078, -0.030851071700453758, 0.006157543044537306, 0.04946204647421837, 0.004319281782954931, 0.017993824556469917, -0.013210229575634003, -0.029342932626605034, -0.006438204552978277, 0.0378873310983181, 0.045255277305841446, 0.023661576211452484, -0.02607966773211956, 0.029427476227283478, -0.0009315162897109985, 0.03480497747659683, 0.05817273631691933, 0.027393324300646782, -0.01618497632443905, 0.0833984762430191, 0.019020523875951767, 0.12492017447948456, 0.011433858424425125, -0.030497141182422638, 0.06699434667825699, -0.07635428011417389, -0.025958294048905373, -0.08677715808153152, -0.061188336461782455, -0.042962562292814255, -0.0069550336338579655, -0.02790837362408638, 0.0675509050488472, 0.11708303540945053, -0.016724061220884323, 0.04040055349469185, -0.051304545253515244, -0.009996745735406876, -0.04171311855316162, 0.0812319815158844, -0.07192856818437576, -0.03500579297542572, -0.012889117002487183, 0.04310917109251022, 0.11426715552806854, 0.04348106309771538, 0.12682679295539856, 0.04415871575474739, -0.030294431373476982, 0.020536014810204506, 0.042096514254808426, -0.12555164098739624, 0.08440807461738586, 0.08642752468585968, 0.020438455045223236, -0.005910790525376797, 0.04768890514969826, -0.038534801453351974, -0.0540320985019207, -0.040920570492744446, 0.005999021232128143, 0.03231904283165932, 0.026641380041837692, 0.026475680992007256, -0.01285665575414896, 0.005579246208071709, -0.054638031870126724, -0.0050490302965044975, 0.028378775343298912, -0.06027919054031372, 0.11153793334960938, -0.004603236448019743, -0.05563155189156532, -0.033593613654375076, 0.010716991499066353, 0.0019907616078853607, -0.11122547090053558, 0.06679694354534149, 0.0962350144982338, -0.057554133236408234, -0.005031577777117491, 0.06791749596595764, -0.07040922343730927, 0.04959561303257942, 0.09600949287414551, 0.03387712687253952, 0.00005979307024972513, 0.04829567298293114, 0.010879605077207088, -0.042211804538965225, 0.009220583364367485, -0.07429806888103485, -0.0024416681844741106, 0.039533451199531555, -0.05166490003466606, 0.05617518350481987, -0.005081906449049711, 0.06166302040219307, 0.053125035017728806, -0.031603239476680756, 0.009830349124968052, 0.007412437349557877, -0.08911218494176865, 0.08878860622644424, 0.048751745373010635, -0.06965427845716476, 3.278908881162319e-33, 0.05673282593488693, -0.025802506133913994, -0.008527700789272785, 0.02171992138028145, 0.05664004758000374, -0.029651617631316185, -0.07093016803264618, -0.059934768825769424, 0.052253611385822296, 0.03769968822598457, -0.06575838476419449, 0.16190879046916962, 0.021033303812146187, -0.008259318768978119, 0.14740677177906036, 0.0224513728171587, 0.08775486052036285, -0.008584966883063316, 0.03031575307250023, -0.08047091215848923, 0.031136900186538696, -0.07593376189470291, 0.01129959151148796, 0.023267049342393875, 0.024390190839767456, -0.08427122980356216, -0.02277260646224022, -0.0016526971012353897, 0.016502393409609795, -0.006670934148132801, 0.003245668951421976, 0.05868737772107124, 0.027140755206346512, 0.034199319779872894, -0.009321794845163822, 0.034245166927576065, -0.019278714433312416, -0.024894390255212784, -0.045051392167806625, -0.07973206043243408, -0.043792590498924255, -0.008832699619233608, -0.0505705289542675, 0.005567041225731373, 0.006603849120438099, -0.031585294753313065, -0.010186267085373402, -0.011305099353194237, 0.08135582506656647, -0.05014999955892563, 0.058912817388772964, -0.07516635954380035, 0.08484749495983124, -0.02252926491200924, -0.0745316743850708, 0.06569093465805054, -0.022826245054602623, 0.048540208488702774, 0.08767979592084885, 0.0920737236738205, -0.029605058953166008, -0.050526898354291916, 0.01710580289363861, 0.010423135943710804, 0.09185529500246048, 0.009104559198021889, -0.08377320319414139, 0.01701008714735508, 0.07629197090864182, -0.015236424282193184, -0.009462994523346424, 0.03720046207308769, -0.05521754175424576, -0.05652949586510658, 0.02330883964896202, 0.007189556956291199, -0.0797092616558075, -0.08891519159078598, -0.0721232146024704, 0.06771699339151382, -0.03646145388484001, 0.012904834002256393, -0.035845667123794556, -0.03930524364113808, -0.016659900546073914, -0.02987172268331051, 0.047582436352968216, 0.01254599541425705, -0.012685948982834816, -0.017631806433200836, -0.07642287015914917, 0.0015042877057567239, -0.00042017229134216905, 0.02276836335659027, 0.02485068514943123, -3.5494118044636205e-33, -0.09541840851306915, -0.003890033345669508, 0.046014685183763504, 0.06314307451248169, 0.008029693737626076, -0.046218015253543854, -0.04637432470917702, 0.038883935660123825, -0.04887701943516731, -0.022288918495178223, 0.025224415585398674, -0.03667007014155388, 0.029330214485526085, -0.044403307139873505, 0.029211148619651794, 0.03661883622407913, 0.0010536188492551446, -0.08924812823534012, 0.02650480531156063, 0.01792949251830578, 0.008969761431217194, 0.016641991212964058, -0.12405702471733093, -0.01788763888180256, 0.042187388986349106, 0.02687394991517067, -0.06411322951316833, -0.03792993724346161, -0.04158194363117218, 0.08186803013086319, -0.06822972744703293, 0.0013239391846582294, -0.043749794363975525, 0.029374336823821068, -0.006438661832362413, 0.03781033679842949, 0.007667548954486847, 0.01324967946857214, -0.009407334960997105, -0.02480687014758587, -0.029900457710027695, -0.0011983101721853018, -0.11523382365703583, 0.009703224524855614, 0.06251633167266846, 0.00025346563779748976, -0.004350499249994755, 0.02274731919169426, -0.05248614400625229, -0.011776006780564785, 0.005247609224170446, 0.0713009163737297, 0.0007553191389888525, 0.004090474918484688, -0.005665079224854708, 0.02132580243051052, -0.022957071661949158, 0.006857960019260645, -0.00826988834887743, 0.0014551487984135747, -0.030568720772862434, -0.14062601327896118, -0.05275101959705353, 0.08876970410346985, -0.04916169121861458, -0.06692160665988922, 0.04987328499555588, -0.06200922653079033, -0.11252766102552414, 0.051032986491918564, 0.043935783207416534, 0.00833973940461874, 0.019873224198818207, -0.059741321951150894, -0.030613573268055916, -0.03266996890306473, 0.09659502655267715, 0.08047177642583847, -0.046731941401958466, 0.055745191872119904, -0.004026283510029316, 0.0367526039481163, -0.023147527128458023, -0.059569742530584335, 0.057382550090551376, -0.02028675377368927, 0.006263254210352898, 0.005915523506700993, 0.06843577325344086, 0.0385783426463604, -0.02273821271955967, 0.00918472558259964, -0.0723848044872284, -0.017075756564736366, -0.04173281043767929, -4.996117297650926e-8, -0.04628046229481697, -0.04781199246644974, -0.019521063193678856, -0.045700401067733765, 0.00559828570112586, 0.10324715822935104, -0.014571521431207657, 0.06338579952716827, -0.07888065278530121, 0.09031912684440613, 0.06781698018312454, 0.024542761966586113, -0.0888061374425888, 0.031006649136543274, -0.04311847686767578, -0.008587799966335297, 0.02350417524576187, -0.03612089529633522, -0.03590165823698044, 0.005153801757842302, -0.006880271248519421, 0.007318641059100628, -0.004213008563965559, 0.036857135593891144, 0.044397950172424316, -0.08228598535060883, -0.048080924898386, -0.06413398683071136, -0.027155069634318352, -0.006668222136795521, 0.033584438264369965, -0.02714831940829754, 0.04763349890708923, -0.03381148353219032, -0.038188233971595764, 0.14768321812152863, 0.019444134086370468, 0.04126516729593277, -0.040355194360017776, 0.0811147689819336, 0.04945913329720497, -0.02518937923014164, -0.005841618869453669, 0.02557450346648693, 0.03766205161809921, -0.04849857836961746, 0.05809510126709938, 0.10355346649885178, 0.07300722599029541, -0.06480979919433594, -0.043618444353342056, -0.02738882414996624, -0.040681853890419006, -0.008321504108607769, -0.054652269929647446, -0.00020776184101123363, -0.00027828573365695775, -0.017588535323739052, 0.05671479180455208, -0.007566400337964296, 0.04301004856824875, -0.06800752878189087, -0.07701783627271652, -0.05863935500383377 ]
1402.0239
Wojciech Mazurczyk
Bartosz Lipinski, Wojciech Mazurczyk, Krzysztof Szczypiorski
Improving Hard Disk Contention-based Covert Channel in Cloud Computing Environment
8 pages, 9 figures, 1 table
null
null
null
cs.CR cs.DC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Steganographic methods allow the covert exchange of secret data between parties aware of the procedure. The cloud computing environment is a new and hot target for steganographers, and currently not many solutions have been proposed. This paper proposes CloudSteg which is a steganographic method that allows the creation of a covert channel based on hard disk contention between the two cloud instances that reside on the same physical machine. Experimental results conducted using open source cloud environment OpenStack, show that CloudSteg is able to achieve a bandwidth of about 0.1 bps which is 1000 times higher than is known from the state-of-the-art version.
[ { "created": "Sun, 2 Feb 2014 20:01:30 GMT", "version": "v1" } ]
2014-02-04
[ [ "Lipinski", "Bartosz", "" ], [ "Mazurczyk", "Wojciech", "" ], [ "Szczypiorski", "Krzysztof", "" ] ]
[ -0.014227931387722492, 0.03341984748840332, 0.008725480176508427, 0.026779672130942345, -0.009190136566758156, -0.02858312800526619, -0.0018503505270928144, -0.06872627884149551, 0.052047550678253174, 0.012848773039877415, -0.0041545843705534935, 0.012475110590457916, 0.07526269555091858, -0.1336069405078888, 0.004724728409200907, -0.09105543047189713, 0.04608580470085144, -0.0335392989218235, -0.003003868507221341, -0.015226284973323345, 0.009396321140229702, -0.025524793192744255, -0.02961786836385727, -0.033003758639097214, 0.025527605786919594, 0.011649477295577526, 0.01340279821306467, -0.017485762014985085, -0.02698097564280033, -0.06344379484653473, 0.04167860373854637, -0.04509197175502777, -0.04713307321071625, 0.05753815546631813, 0.03144224360585213, 0.03726787120103836, 0.022406985983252525, -0.02296544797718525, -0.03262548893690109, -0.008605201728641987, 0.05820586159825325, -0.036580536514520645, -0.0832308754324913, -0.005708214361220598, -0.011203506961464882, 0.07074174284934998, 0.027663469314575195, 0.07318941503763199, -0.003439640626311302, -0.023002518340945244, 0.01575743593275547, -0.08995001763105392, -0.036707308143377304, 0.10215268284082413, -0.03586656227707863, -0.12222203612327576, 0.02496051974594593, 0.03534563258290291, -0.027499038726091385, 0.04056551679968834, -0.010780159384012222, -0.010180285200476646, 0.03919961303472519, 0.015126344747841358, -0.006771835032850504, 0.033795975148677826, 0.10190216451883316, 0.02338072843849659, -0.0023801217321306467, -0.010292637161910534, 0.00045661424519494176, 0.010891248472034931, -0.11883323639631271, 0.04458204656839371, -0.0708734393119812, 0.02857908047735691, -0.0780332162976265, 0.012566374614834785, 0.000631065689958632, -0.035879138857126236, 0.11566270887851715, 0.017774585634469986, 0.026529541239142418, 0.05345386639237404, -0.06793636828660965, -0.00623858580365777, 0.015628062188625336, -0.001346917124465108, 0.01882556453347206, -0.033361420035362244, -0.00931050255894661, 0.06089548394083977, 0.06887662410736084, 0.04672016203403473, -0.010456789284944534, -0.06364671140909195, -0.006247646175324917, 0.0456075444817543, -0.022995619103312492, 0.01793844811618328, -0.012633678503334522, -0.026587840169668198, 0.03793008252978325, -0.031511012464761734, 0.08909820765256882, 0.07899099588394165, 0.03093108721077442, -0.02424984611570835, 0.03649012744426727, 0.026748277246952057, -0.04250020533800125, -0.018480997532606125, 0.0026882111560553312, -0.017191987484693527, 0.04276970773935318, 0.02505568414926529, 0.029532507061958313, 0.04245492443442345, -0.12054580450057983, -0.018327496945858, 0.0766400545835495, -0.07121880352497101, 0.05601822957396507, -0.058210961520671844, -0.0432942695915699, -0.00465310038998723, -0.06593233346939087, 2.8829437927588236e-33, -0.017115984112024307, 0.007200025022029877, -0.010301027446985245, -0.03621511533856392, 0.09240833669900894, -0.019284425303339958, 0.04326231777667999, -0.006873060949146748, -0.019450891762971878, 0.03599502146244049, -0.06437180936336517, -0.019239606335759163, -0.039802707731723785, 0.061818357557058334, 0.08745191246271133, 0.009748322889208794, 0.001483336091041565, 0.04635557159781456, 0.03433232381939888, -0.05033116787672043, -0.017281949520111084, -0.010159233585000038, 0.041758306324481964, -0.07917888462543488, 0.03826957941055298, -0.01726415939629078, 0.03800198435783386, -0.1162005066871643, 0.12595105171203613, -0.011170581914484501, -0.005542365368455648, 0.019746292382478714, 0.07102715969085693, 0.005994922015815973, -0.003741808934137225, -0.015711119398474693, -0.09105471521615982, -0.08721912652254105, 0.057171255350112915, 0.12703196704387665, 0.10641951113939285, -0.026097243651747704, 0.020338449627161026, -0.05753719061613083, -0.021277839317917824, 0.037794798612594604, -0.017504751682281494, -0.03924758732318878, 0.03671378642320633, 0.021930869668722153, 0.05833713337779045, 0.03508329018950462, -0.06655441969633102, 0.009837515652179718, 0.008735603652894497, 0.04035457596182823, 0.061263225972652435, -0.056153710931539536, 0.09430091828107834, 0.11082631349563599, -0.09371456503868103, -0.007445749826729298, 0.004001091234385967, 0.033701859414577484, -0.14358657598495483, -0.05456816032528877, -0.028439410030841827, -0.0052076526917517185, -0.04472488909959793, -0.03355325013399124, -0.03377385810017586, 0.0007870983681641519, -0.02926425077021122, -0.056492362171411514, -0.08853816986083984, -0.021904874593019485, 0.0015115909045562148, -0.029748504981398582, 0.047380778938531876, -0.04611644893884659, -0.049407605081796646, -0.005615175701677799, -0.010192104615271091, -0.014166804030537605, -0.12251892685890198, -0.0006922638858668506, 0.018573379144072533, 0.033136431127786636, -0.05136024206876755, 0.11637460440397263, -0.032268427312374115, -0.005779355764389038, 0.004825907293707132, -0.05367555469274521, -0.031965743750333786, -2.3333827350051342e-33, -0.12357326596975327, 0.00013999534712638706, -0.04494968429207802, 0.13486148416996002, 0.05667893588542938, 0.016097454354166985, 0.01329763699322939, 0.019857389852404594, -0.0441838875412941, 0.07123363763093948, -0.06416551023721695, 0.019063880667090416, 0.010111198760569096, -0.024334462359547615, 0.045858390629291534, -0.056047022342681885, 0.08588717132806778, -0.0010767135536298156, -0.0943073183298111, 0.028126152232289314, -0.06326238811016083, -0.0684049054980278, 0.08158131688833237, -0.0017385882092639804, 0.03925661742687225, 0.04553186520934105, 0.022698424756526947, 0.02936495468020439, 0.08022840321063995, 0.008290115743875504, -0.023582560941576958, 0.06097561493515968, 0.034234002232551575, -0.1294165402650833, -0.04458550736308098, -0.018714549019932747, 0.09155474603176117, 0.07034506648778915, -0.07452122867107391, -0.06335532665252686, -0.02199992910027504, -0.016107473522424698, -0.052241094410419464, -0.048454176634550095, -0.036570955067873, 0.06734361499547958, -0.07440061867237091, 0.014294538646936417, -0.010489505715668201, -0.01127710286527872, 0.056512340903282166, 0.012710115872323513, -0.021353892982006073, 0.059972167015075684, 0.00980630423873663, -0.0428585559129715, -0.09507842361927032, 0.08743663877248764, -0.015543290413916111, 0.02594689652323723, 0.07919453829526901, -0.060924626886844635, 0.013519655913114548, -0.016210436820983887, 0.06115327030420303, 0.023560665547847748, 0.0013532929588109255, 0.022837426513433456, -0.06324871629476547, 0.06500568240880966, 0.010132809169590473, -0.04256202280521393, 0.01847996935248375, 0.00539252208545804, 0.030906720086932182, 0.03102741204202175, -0.019332315772771835, -0.0597229078412056, -0.011659002862870693, 0.07460738718509674, 0.010584749281406403, 0.03236980736255646, -0.0373154953122139, -0.00188692647498101, 0.014347734861075878, -0.023524833843111992, 0.09626639634370804, -0.04248739778995514, -0.07391432672739029, 0.02431304007768631, -0.07045885175466537, -0.047993771731853485, -0.055743806064128876, 0.0777551680803299, 0.05238610878586769, -4.034506417838202e-8, 0.006153853610157967, -0.019254198297858238, 0.08021998405456543, -0.023879671469330788, -0.0735190138220787, -0.042767129838466644, 0.03629465773701668, 0.028546001762151718, -0.0053641172125935555, -0.03192758932709694, 0.06186223775148392, -0.06978175789117813, 0.043218810111284256, -0.04466424137353897, 0.0069108507595956326, 0.07642211019992828, -0.0469537079334259, -0.04711531847715378, -0.0151546411216259, -0.0654950737953186, -0.019806331023573875, 0.05466501787304878, -0.048179034143686295, 0.039089128375053406, 0.05451469495892525, 0.028840618208050728, 0.05364101752638817, 0.03717260807752609, -0.042131759226322174, 0.032942745834589005, -0.04972311109304428, -0.09265591204166412, 0.02094428427517414, 0.06400583684444427, 0.03281300514936447, 0.03634814918041229, -0.09477169066667557, 0.0009132928680628538, 0.025045474991202354, 0.14039015769958496, -0.0073101213201880455, -0.0022612109314650297, 0.006474291905760765, 0.007264607585966587, 0.0013246105518192053, -0.01702948845922947, 0.07114100456237793, 0.028591301292181015, -0.09783188998699188, 0.021288424730300903, 0.049611371010541916, -0.03418076038360596, -0.009186149574816227, 0.06433461606502533, 0.04400169476866722, 0.04122695326805115, -0.010215658694505692, 0.0010450961999595165, 0.022065797820687294, 0.1539560705423355, 0.00032706852653063834, -0.0020455147605389357, 0.06608431786298752, 0.02716740220785141 ]
null
null
null
null
null
null
null
[ -0.014227931387722492, 0.03341984748840332, 0.008725480176508427, 0.026779672130942345, -0.009190136566758156, -0.02858312800526619, -0.0018503505270928144, -0.06872627884149551, 0.052047550678253174, 0.012848773039877415, -0.0041545843705534935, 0.012475110590457916, 0.07526269555091858, -0.1336069405078888, 0.004724728409200907, -0.09105543047189713, 0.04608580470085144, -0.0335392989218235, -0.003003868507221341, -0.015226284973323345, 0.009396321140229702, -0.025524793192744255, -0.02961786836385727, -0.033003758639097214, 0.025527605786919594, 0.011649477295577526, 0.01340279821306467, -0.017485762014985085, -0.02698097564280033, -0.06344379484653473, 0.04167860373854637, -0.04509197175502777, -0.04713307321071625, 0.05753815546631813, 0.03144224360585213, 0.03726787120103836, 0.022406985983252525, -0.02296544797718525, -0.03262548893690109, -0.008605201728641987, 0.05820586159825325, -0.036580536514520645, -0.0832308754324913, -0.005708214361220598, -0.011203506961464882, 0.07074174284934998, 0.027663469314575195, 0.07318941503763199, -0.003439640626311302, -0.023002518340945244, 0.01575743593275547, -0.08995001763105392, -0.036707308143377304, 0.10215268284082413, -0.03586656227707863, -0.12222203612327576, 0.02496051974594593, 0.03534563258290291, -0.027499038726091385, 0.04056551679968834, -0.010780159384012222, -0.010180285200476646, 0.03919961303472519, 0.015126344747841358, -0.006771835032850504, 0.033795975148677826, 0.10190216451883316, 0.02338072843849659, -0.0023801217321306467, -0.010292637161910534, 0.00045661424519494176, 0.010891248472034931, -0.11883323639631271, 0.04458204656839371, -0.0708734393119812, 0.02857908047735691, -0.0780332162976265, 0.012566374614834785, 0.000631065689958632, -0.035879138857126236, 0.11566270887851715, 0.017774585634469986, 0.026529541239142418, 0.05345386639237404, -0.06793636828660965, -0.00623858580365777, 0.015628062188625336, -0.001346917124465108, 0.01882556453347206, -0.033361420035362244, -0.00931050255894661, 0.06089548394083977, 0.06887662410736084, 0.04672016203403473, -0.010456789284944534, -0.06364671140909195, -0.006247646175324917, 0.0456075444817543, -0.022995619103312492, 0.01793844811618328, -0.012633678503334522, -0.026587840169668198, 0.03793008252978325, -0.031511012464761734, 0.08909820765256882, 0.07899099588394165, 0.03093108721077442, -0.02424984611570835, 0.03649012744426727, 0.026748277246952057, -0.04250020533800125, -0.018480997532606125, 0.0026882111560553312, -0.017191987484693527, 0.04276970773935318, 0.02505568414926529, 0.029532507061958313, 0.04245492443442345, -0.12054580450057983, -0.018327496945858, 0.0766400545835495, -0.07121880352497101, 0.05601822957396507, -0.058210961520671844, -0.0432942695915699, -0.00465310038998723, -0.06593233346939087, 2.8829437927588236e-33, -0.017115984112024307, 0.007200025022029877, -0.010301027446985245, -0.03621511533856392, 0.09240833669900894, -0.019284425303339958, 0.04326231777667999, -0.006873060949146748, -0.019450891762971878, 0.03599502146244049, -0.06437180936336517, -0.019239606335759163, -0.039802707731723785, 0.061818357557058334, 0.08745191246271133, 0.009748322889208794, 0.001483336091041565, 0.04635557159781456, 0.03433232381939888, -0.05033116787672043, -0.017281949520111084, -0.010159233585000038, 0.041758306324481964, -0.07917888462543488, 0.03826957941055298, -0.01726415939629078, 0.03800198435783386, -0.1162005066871643, 0.12595105171203613, -0.011170581914484501, -0.005542365368455648, 0.019746292382478714, 0.07102715969085693, 0.005994922015815973, -0.003741808934137225, -0.015711119398474693, -0.09105471521615982, -0.08721912652254105, 0.057171255350112915, 0.12703196704387665, 0.10641951113939285, -0.026097243651747704, 0.020338449627161026, -0.05753719061613083, -0.021277839317917824, 0.037794798612594604, -0.017504751682281494, -0.03924758732318878, 0.03671378642320633, 0.021930869668722153, 0.05833713337779045, 0.03508329018950462, -0.06655441969633102, 0.009837515652179718, 0.008735603652894497, 0.04035457596182823, 0.061263225972652435, -0.056153710931539536, 0.09430091828107834, 0.11082631349563599, -0.09371456503868103, -0.007445749826729298, 0.004001091234385967, 0.033701859414577484, -0.14358657598495483, -0.05456816032528877, -0.028439410030841827, -0.0052076526917517185, -0.04472488909959793, -0.03355325013399124, -0.03377385810017586, 0.0007870983681641519, -0.02926425077021122, -0.056492362171411514, -0.08853816986083984, -0.021904874593019485, 0.0015115909045562148, -0.029748504981398582, 0.047380778938531876, -0.04611644893884659, -0.049407605081796646, -0.005615175701677799, -0.010192104615271091, -0.014166804030537605, -0.12251892685890198, -0.0006922638858668506, 0.018573379144072533, 0.033136431127786636, -0.05136024206876755, 0.11637460440397263, -0.032268427312374115, -0.005779355764389038, 0.004825907293707132, -0.05367555469274521, -0.031965743750333786, -2.3333827350051342e-33, -0.12357326596975327, 0.00013999534712638706, -0.04494968429207802, 0.13486148416996002, 0.05667893588542938, 0.016097454354166985, 0.01329763699322939, 0.019857389852404594, -0.0441838875412941, 0.07123363763093948, -0.06416551023721695, 0.019063880667090416, 0.010111198760569096, -0.024334462359547615, 0.045858390629291534, -0.056047022342681885, 0.08588717132806778, -0.0010767135536298156, -0.0943073183298111, 0.028126152232289314, -0.06326238811016083, -0.0684049054980278, 0.08158131688833237, -0.0017385882092639804, 0.03925661742687225, 0.04553186520934105, 0.022698424756526947, 0.02936495468020439, 0.08022840321063995, 0.008290115743875504, -0.023582560941576958, 0.06097561493515968, 0.034234002232551575, -0.1294165402650833, -0.04458550736308098, -0.018714549019932747, 0.09155474603176117, 0.07034506648778915, -0.07452122867107391, -0.06335532665252686, -0.02199992910027504, -0.016107473522424698, -0.052241094410419464, -0.048454176634550095, -0.036570955067873, 0.06734361499547958, -0.07440061867237091, 0.014294538646936417, -0.010489505715668201, -0.01127710286527872, 0.056512340903282166, 0.012710115872323513, -0.021353892982006073, 0.059972167015075684, 0.00980630423873663, -0.0428585559129715, -0.09507842361927032, 0.08743663877248764, -0.015543290413916111, 0.02594689652323723, 0.07919453829526901, -0.060924626886844635, 0.013519655913114548, -0.016210436820983887, 0.06115327030420303, 0.023560665547847748, 0.0013532929588109255, 0.022837426513433456, -0.06324871629476547, 0.06500568240880966, 0.010132809169590473, -0.04256202280521393, 0.01847996935248375, 0.00539252208545804, 0.030906720086932182, 0.03102741204202175, -0.019332315772771835, -0.0597229078412056, -0.011659002862870693, 0.07460738718509674, 0.010584749281406403, 0.03236980736255646, -0.0373154953122139, -0.00188692647498101, 0.014347734861075878, -0.023524833843111992, 0.09626639634370804, -0.04248739778995514, -0.07391432672739029, 0.02431304007768631, -0.07045885175466537, -0.047993771731853485, -0.055743806064128876, 0.0777551680803299, 0.05238610878586769, -4.034506417838202e-8, 0.006153853610157967, -0.019254198297858238, 0.08021998405456543, -0.023879671469330788, -0.0735190138220787, -0.042767129838466644, 0.03629465773701668, 0.028546001762151718, -0.0053641172125935555, -0.03192758932709694, 0.06186223775148392, -0.06978175789117813, 0.043218810111284256, -0.04466424137353897, 0.0069108507595956326, 0.07642211019992828, -0.0469537079334259, -0.04711531847715378, -0.0151546411216259, -0.0654950737953186, -0.019806331023573875, 0.05466501787304878, -0.048179034143686295, 0.039089128375053406, 0.05451469495892525, 0.028840618208050728, 0.05364101752638817, 0.03717260807752609, -0.042131759226322174, 0.032942745834589005, -0.04972311109304428, -0.09265591204166412, 0.02094428427517414, 0.06400583684444427, 0.03281300514936447, 0.03634814918041229, -0.09477169066667557, 0.0009132928680628538, 0.025045474991202354, 0.14039015769958496, -0.0073101213201880455, -0.0022612109314650297, 0.006474291905760765, 0.007264607585966587, 0.0013246105518192053, -0.01702948845922947, 0.07114100456237793, 0.028591301292181015, -0.09783188998699188, 0.021288424730300903, 0.049611371010541916, -0.03418076038360596, -0.009186149574816227, 0.06433461606502533, 0.04400169476866722, 0.04122695326805115, -0.010215658694505692, 0.0010450961999595165, 0.022065797820687294, 0.1539560705423355, 0.00032706852653063834, -0.0020455147605389357, 0.06608431786298752, 0.02716740220785141 ]
1402.0240
Stefanie Jegelka
Stefanie Jegelka (MIT), Jeff Bilmes (University of Washington)
Graph Cuts with Interacting Edge Costs - Examples, Approximations, and Algorithms
46 pages
null
null
null
cs.DS cs.CV cs.DM math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study an extension of the classical graph cut problem, wherein we replace the modular (sum of edge weights) cost function by a submodular set function defined over graph edges. Special cases of this problem have appeared in different applications in signal processing, machine learning, and computer vision. In this paper, we connect these applications via the generic formulation of "cooperative graph cuts", for which we study complexity, algorithms, and connections to polymatroidal network flows. Finally, we compare the proposed algorithms empirically.
[ { "created": "Sun, 2 Feb 2014 20:03:19 GMT", "version": "v1" }, { "created": "Sat, 8 Mar 2014 19:53:39 GMT", "version": "v2" }, { "created": "Sat, 30 Aug 2014 17:14:42 GMT", "version": "v3" }, { "created": "Sat, 26 Mar 2016 22:52:52 GMT", "version": "v4" } ]
2016-03-29
[ [ "Jegelka", "Stefanie", "", "MIT" ], [ "Bilmes", "Jeff", "", "University of Washington" ] ]
[ -0.02903989888727665, 0.009591605514287949, 0.056214720010757446, -0.07069343328475952, 0.01172167994081974, -0.047994449734687805, 0.0030092985834926367, -0.05741577222943306, -0.03179069980978966, 0.03982856869697571, -0.04873153567314148, -0.022977055981755257, 0.027868682518601418, 0.04564164578914642, -0.025313735008239746, 0.02038976550102234, 0.030974451452493668, 0.036608126014471054, 0.012519379146397114, -0.011255983263254166, 0.05236038565635681, -0.0700506716966629, -0.0715281292796135, -0.00247219973243773, 0.13661305606365204, -0.025660401210188866, 0.020571790635585785, -0.02476450800895691, 0.06773539632558823, 0.03473464772105217, -0.02146000601351261, -0.0005856223870068789, 0.032677069306373596, 0.019618341699242592, -0.08340814709663391, 0.025114253163337708, -0.05295565724372864, 0.03075502999126911, 0.014144831337034702, 0.08302007615566254, -0.0022180478554219007, 0.052298661321401596, -0.022034859284758568, 0.01614277809858322, -0.049916982650756836, 0.049954306334257126, -0.06292112916707993, -0.012186229228973389, -0.027729034423828125, 0.02458246797323227, -0.061846569180488586, -0.000013725485587201547, -0.09551680088043213, 0.04182586073875427, 0.06271758675575256, -0.06113104522228241, -0.0024868203327059746, -0.04553573578596115, -0.018705245107412338, 0.08536332845687866, 0.07401883602142334, -0.10272648185491562, -0.026451479643583298, 0.013759030029177666, 0.013953120447695255, 0.0298203956335783, -0.0005426908028312027, -0.03943298012018204, -0.00535944290459156, 0.013255621306598186, 0.07268018275499344, 0.05918383598327637, -0.05727303773164749, 0.01636655069887638, -0.00784034002572298, -0.00324288965202868, 0.10127663612365723, -0.004372384399175644, -0.038000401109457016, -0.005819209385663271, 0.006098068784922361, -0.012428002431988716, -0.04057445377111435, -0.003772851312533021, 0.019093023613095284, -0.004662822466343641, -0.05610137805342674, 0.0007251272327266634, 0.023299789056181908, 0.06343197077512741, -0.1863156408071518, 0.05911509692668915, -0.012989685870707035, -0.042201410979032516, -0.018500899896025658, -0.03588706627488136, 0.004919170401990414, -0.0004401491896715015, 0.018288839608430862, 0.07457344979047775, -0.053801897913217545, 0.010480448603630066, 0.004101189319044352, -0.04280054196715355, 0.0396231971681118, 0.08205710351467133, -0.028337933123111725, -0.026694180443882942, -0.00634103873744607, -0.08722832053899765, 0.015122821554541588, 0.04893086850643158, 0.006199983414262533, 0.013755014166235924, 0.000031827767088543624, -0.021468067541718483, 0.08197237551212311, 0.007797386962920427, 0.06484492123126984, 0.07101420313119888, -0.06522704660892487, -0.04465757682919502, -0.020541399717330933, -0.04990832507610321, 0.06654614955186844, -0.015224490314722061, -0.011621112935245037, -1.909234251185713e-33, 0.027155205607414246, 0.0024153569247573614, -0.01693185791373253, -0.0777282863855362, 0.06901498883962631, 0.03529013693332672, -0.045831046998500824, -0.009449109435081482, 0.03357595577836037, -0.0008163225720636547, -0.12448041886091232, -0.00738481106236577, 0.0015260935761034489, 0.06436309218406677, 0.08196928352117538, -0.11619102209806442, 0.07355654984712601, -0.05679778382182121, 0.019222859293222427, -0.08155743777751923, 0.03284500539302826, -0.043650150299072266, 0.04325764998793602, 0.05117794871330261, -0.03472261130809784, 0.0074826679192483425, 0.009707139804959297, -0.08760738372802734, 0.07892432063817978, 0.002083949279040098, -0.11130563169717789, 0.03853970393538475, 0.06394937634468079, 0.09073024243116379, -0.043591633439064026, 0.017016058787703514, -0.006650119554251432, -0.02915864810347557, 0.05697920173406601, -0.02847345732152462, 0.010774468071758747, 0.012040995061397552, -0.04379486292600632, -0.09529658406972885, -0.0695476159453392, -0.09005077928304672, -0.0480424128472805, 0.022195927798748016, -0.020344572141766548, 0.009184369817376137, -0.001893820008262992, -0.016682999208569527, 0.028504900634288788, -0.002894430886954069, -0.007411907892674208, 0.00415904400870204, 0.007039722986519337, 0.06493625044822693, 0.05994770675897598, 0.06445418298244476, 0.01819160208106041, -0.027693750336766243, 0.0004371847026050091, 0.10136271268129349, -0.0025517975445836782, 0.07869066298007965, -0.04790407791733742, -0.05325222387909889, 0.07628878206014633, -0.0695037767291069, -0.06293397396802902, 0.06491175293922424, -0.07307952642440796, 0.013065279461443424, 0.03900081664323807, 0.03642284870147705, -0.05095016956329346, -0.0329003743827343, -0.06889457255601883, 0.02888111025094986, -0.09188808500766754, 0.01595040038228035, 0.06974830478429794, -0.0771673396229744, 0.030402490869164467, 0.015590117312967777, 0.05854492262005806, -0.012795258313417435, -0.023563699796795845, 0.0024363205302506685, -0.0851762518286705, 0.01580223999917507, -0.03352613002061844, 0.059477273374795914, 0.10010652989149094, 3.960642248215978e-34, -0.09422452002763748, 0.06713948398828506, 0.04203784838318825, 0.020818104967474937, 0.06571974605321884, -0.0487590953707695, -0.020750928670167923, -0.0338117890059948, 0.01679711975157261, 0.13491487503051758, -0.03613313287496567, -0.0005879091331735253, 0.0015838766703382134, -0.05404580011963844, -0.03434373065829277, -0.06645525246858597, 0.001134701306000352, -0.002872494049370289, -0.004320611711591482, -0.04472067207098007, -0.07559922337532043, 0.05479265749454498, -0.005136382300406694, 0.0075702364556491375, 0.033051978796720505, 0.05212295055389404, -0.058530114591121674, -0.010781894437968731, -0.032895609736442566, 0.0338948518037796, -0.10685060918331146, -0.036916039884090424, -0.06839275360107422, -0.04081523045897484, 0.0956382229924202, 0.08166509866714478, -0.03134690970182419, 0.09500693529844284, 0.009787231683731079, 0.07236719876527786, -0.025872990489006042, -0.010967751033604145, -0.038681767880916595, 0.03232751414179802, 0.017259126529097557, -0.02593839354813099, -0.029078885912895203, -0.02679629810154438, -0.0919642373919487, -0.023818906396627426, -0.041077613830566406, 0.06972536444664001, 0.009077982045710087, 0.016568828374147415, -0.0500582754611969, -0.00409218342974782, 0.016775308176875114, 0.06168961897492409, 0.06770625710487366, -0.054829102009534836, -0.014734978787600994, -0.06769055873155594, -0.09883855283260345, 0.09120994806289673, 0.03345942869782448, 0.00809023343026638, 0.04449660703539848, -0.053725190460681915, -0.008734049275517464, 0.14038747549057007, 0.036680884659290314, 0.08398675918579102, 0.02809865027666092, 0.005362802650779486, 0.004963805433362722, 0.002045988105237484, -0.04350247234106064, 0.06143255531787872, -0.026123996824026108, 0.09730664640665054, 0.019469786435365677, 0.004213038831949234, 0.03111996129155159, -0.05566922202706337, 0.03343804180622101, -0.0037141458597034216, 0.005927463993430138, 0.03007197193801403, -0.060947246849536896, -0.04212623089551926, -0.04497111961245537, -0.0016590476734563708, -0.02888336218893528, -0.005174653604626656, -0.054169654846191406, -3.7157757759587184e-8, -0.05093979462981224, 0.00975026935338974, -0.0249909870326519, -0.04478325694799423, 0.14180119335651398, -0.0065588871948421, 0.0776413306593895, 0.09787063300609589, -0.006116708740592003, 0.03713346645236015, 0.06758538633584976, 0.034123457968235016, 0.03368745371699333, 0.058845214545726776, -0.08084455132484436, -0.030529284849762917, 0.025845322757959366, 0.04797281697392464, 0.027664950117468834, 0.0007950931321829557, -0.024147698655724525, -0.07060728967189789, 0.008249101229012012, 0.07653231918811798, -0.039915140718221664, -0.05371983349323273, -0.08595706522464752, -0.010352379642426968, 0.008176841773092747, 0.11296249181032181, -0.06573158502578735, 0.06940040737390518, 0.10936813056468964, 0.005402829963713884, 0.0472586564719677, 0.06769862771034241, 0.021230561658740044, 0.072459377348423, -0.0774633064866066, 0.0285804346203804, 0.01620500721037388, 0.013192489743232727, -0.002803281182423234, -0.02177705056965351, 0.060746703296899796, 0.020722130313515663, 0.03233392909169197, -0.006441866979002953, -0.016159530729055405, -0.019123021513223648, 0.045247454196214676, 0.0378151498734951, -0.03192434087395668, -0.09047000855207443, 0.009733588434755802, -0.04684920608997345, -0.012545591220259666, -0.10168049484491348, 0.034693632274866104, -0.056649137288331985, -0.07026287913322449, 0.021593086421489716, 0.026135707274079323, -0.04185080528259277 ]
null
null
null
null
null
null
null
[ -0.02903989888727665, 0.009591605514287949, 0.056214720010757446, -0.07069343328475952, 0.01172167994081974, -0.047994449734687805, 0.0030092985834926367, -0.05741577222943306, -0.03179069980978966, 0.03982856869697571, -0.04873153567314148, -0.022977055981755257, 0.027868682518601418, 0.04564164578914642, -0.025313735008239746, 0.02038976550102234, 0.030974451452493668, 0.036608126014471054, 0.012519379146397114, -0.011255983263254166, 0.05236038565635681, -0.0700506716966629, -0.0715281292796135, -0.00247219973243773, 0.13661305606365204, -0.025660401210188866, 0.020571790635585785, -0.02476450800895691, 0.06773539632558823, 0.03473464772105217, -0.02146000601351261, -0.0005856223870068789, 0.032677069306373596, 0.019618341699242592, -0.08340814709663391, 0.025114253163337708, -0.05295565724372864, 0.03075502999126911, 0.014144831337034702, 0.08302007615566254, -0.0022180478554219007, 0.052298661321401596, -0.022034859284758568, 0.01614277809858322, -0.049916982650756836, 0.049954306334257126, -0.06292112916707993, -0.012186229228973389, -0.027729034423828125, 0.02458246797323227, -0.061846569180488586, -0.000013725485587201547, -0.09551680088043213, 0.04182586073875427, 0.06271758675575256, -0.06113104522228241, -0.0024868203327059746, -0.04553573578596115, -0.018705245107412338, 0.08536332845687866, 0.07401883602142334, -0.10272648185491562, -0.026451479643583298, 0.013759030029177666, 0.013953120447695255, 0.0298203956335783, -0.0005426908028312027, -0.03943298012018204, -0.00535944290459156, 0.013255621306598186, 0.07268018275499344, 0.05918383598327637, -0.05727303773164749, 0.01636655069887638, -0.00784034002572298, -0.00324288965202868, 0.10127663612365723, -0.004372384399175644, -0.038000401109457016, -0.005819209385663271, 0.006098068784922361, -0.012428002431988716, -0.04057445377111435, -0.003772851312533021, 0.019093023613095284, -0.004662822466343641, -0.05610137805342674, 0.0007251272327266634, 0.023299789056181908, 0.06343197077512741, -0.1863156408071518, 0.05911509692668915, -0.012989685870707035, -0.042201410979032516, -0.018500899896025658, -0.03588706627488136, 0.004919170401990414, -0.0004401491896715015, 0.018288839608430862, 0.07457344979047775, -0.053801897913217545, 0.010480448603630066, 0.004101189319044352, -0.04280054196715355, 0.0396231971681118, 0.08205710351467133, -0.028337933123111725, -0.026694180443882942, -0.00634103873744607, -0.08722832053899765, 0.015122821554541588, 0.04893086850643158, 0.006199983414262533, 0.013755014166235924, 0.000031827767088543624, -0.021468067541718483, 0.08197237551212311, 0.007797386962920427, 0.06484492123126984, 0.07101420313119888, -0.06522704660892487, -0.04465757682919502, -0.020541399717330933, -0.04990832507610321, 0.06654614955186844, -0.015224490314722061, -0.011621112935245037, -1.909234251185713e-33, 0.027155205607414246, 0.0024153569247573614, -0.01693185791373253, -0.0777282863855362, 0.06901498883962631, 0.03529013693332672, -0.045831046998500824, -0.009449109435081482, 0.03357595577836037, -0.0008163225720636547, -0.12448041886091232, -0.00738481106236577, 0.0015260935761034489, 0.06436309218406677, 0.08196928352117538, -0.11619102209806442, 0.07355654984712601, -0.05679778382182121, 0.019222859293222427, -0.08155743777751923, 0.03284500539302826, -0.043650150299072266, 0.04325764998793602, 0.05117794871330261, -0.03472261130809784, 0.0074826679192483425, 0.009707139804959297, -0.08760738372802734, 0.07892432063817978, 0.002083949279040098, -0.11130563169717789, 0.03853970393538475, 0.06394937634468079, 0.09073024243116379, -0.043591633439064026, 0.017016058787703514, -0.006650119554251432, -0.02915864810347557, 0.05697920173406601, -0.02847345732152462, 0.010774468071758747, 0.012040995061397552, -0.04379486292600632, -0.09529658406972885, -0.0695476159453392, -0.09005077928304672, -0.0480424128472805, 0.022195927798748016, -0.020344572141766548, 0.009184369817376137, -0.001893820008262992, -0.016682999208569527, 0.028504900634288788, -0.002894430886954069, -0.007411907892674208, 0.00415904400870204, 0.007039722986519337, 0.06493625044822693, 0.05994770675897598, 0.06445418298244476, 0.01819160208106041, -0.027693750336766243, 0.0004371847026050091, 0.10136271268129349, -0.0025517975445836782, 0.07869066298007965, -0.04790407791733742, -0.05325222387909889, 0.07628878206014633, -0.0695037767291069, -0.06293397396802902, 0.06491175293922424, -0.07307952642440796, 0.013065279461443424, 0.03900081664323807, 0.03642284870147705, -0.05095016956329346, -0.0329003743827343, -0.06889457255601883, 0.02888111025094986, -0.09188808500766754, 0.01595040038228035, 0.06974830478429794, -0.0771673396229744, 0.030402490869164467, 0.015590117312967777, 0.05854492262005806, -0.012795258313417435, -0.023563699796795845, 0.0024363205302506685, -0.0851762518286705, 0.01580223999917507, -0.03352613002061844, 0.059477273374795914, 0.10010652989149094, 3.960642248215978e-34, -0.09422452002763748, 0.06713948398828506, 0.04203784838318825, 0.020818104967474937, 0.06571974605321884, -0.0487590953707695, -0.020750928670167923, -0.0338117890059948, 0.01679711975157261, 0.13491487503051758, -0.03613313287496567, -0.0005879091331735253, 0.0015838766703382134, -0.05404580011963844, -0.03434373065829277, -0.06645525246858597, 0.001134701306000352, -0.002872494049370289, -0.004320611711591482, -0.04472067207098007, -0.07559922337532043, 0.05479265749454498, -0.005136382300406694, 0.0075702364556491375, 0.033051978796720505, 0.05212295055389404, -0.058530114591121674, -0.010781894437968731, -0.032895609736442566, 0.0338948518037796, -0.10685060918331146, -0.036916039884090424, -0.06839275360107422, -0.04081523045897484, 0.0956382229924202, 0.08166509866714478, -0.03134690970182419, 0.09500693529844284, 0.009787231683731079, 0.07236719876527786, -0.025872990489006042, -0.010967751033604145, -0.038681767880916595, 0.03232751414179802, 0.017259126529097557, -0.02593839354813099, -0.029078885912895203, -0.02679629810154438, -0.0919642373919487, -0.023818906396627426, -0.041077613830566406, 0.06972536444664001, 0.009077982045710087, 0.016568828374147415, -0.0500582754611969, -0.00409218342974782, 0.016775308176875114, 0.06168961897492409, 0.06770625710487366, -0.054829102009534836, -0.014734978787600994, -0.06769055873155594, -0.09883855283260345, 0.09120994806289673, 0.03345942869782448, 0.00809023343026638, 0.04449660703539848, -0.053725190460681915, -0.008734049275517464, 0.14038747549057007, 0.036680884659290314, 0.08398675918579102, 0.02809865027666092, 0.005362802650779486, 0.004963805433362722, 0.002045988105237484, -0.04350247234106064, 0.06143255531787872, -0.026123996824026108, 0.09730664640665054, 0.019469786435365677, 0.004213038831949234, 0.03111996129155159, -0.05566922202706337, 0.03343804180622101, -0.0037141458597034216, 0.005927463993430138, 0.03007197193801403, -0.060947246849536896, -0.04212623089551926, -0.04497111961245537, -0.0016590476734563708, -0.02888336218893528, -0.005174653604626656, -0.054169654846191406, -3.7157757759587184e-8, -0.05093979462981224, 0.00975026935338974, -0.0249909870326519, -0.04478325694799423, 0.14180119335651398, -0.0065588871948421, 0.0776413306593895, 0.09787063300609589, -0.006116708740592003, 0.03713346645236015, 0.06758538633584976, 0.034123457968235016, 0.03368745371699333, 0.058845214545726776, -0.08084455132484436, -0.030529284849762917, 0.025845322757959366, 0.04797281697392464, 0.027664950117468834, 0.0007950931321829557, -0.024147698655724525, -0.07060728967189789, 0.008249101229012012, 0.07653231918811798, -0.039915140718221664, -0.05371983349323273, -0.08595706522464752, -0.010352379642426968, 0.008176841773092747, 0.11296249181032181, -0.06573158502578735, 0.06940040737390518, 0.10936813056468964, 0.005402829963713884, 0.0472586564719677, 0.06769862771034241, 0.021230561658740044, 0.072459377348423, -0.0774633064866066, 0.0285804346203804, 0.01620500721037388, 0.013192489743232727, -0.002803281182423234, -0.02177705056965351, 0.060746703296899796, 0.020722130313515663, 0.03233392909169197, -0.006441866979002953, -0.016159530729055405, -0.019123021513223648, 0.045247454196214676, 0.0378151498734951, -0.03192434087395668, -0.09047000855207443, 0.009733588434755802, -0.04684920608997345, -0.012545591220259666, -0.10168049484491348, 0.034693632274866104, -0.056649137288331985, -0.07026287913322449, 0.021593086421489716, 0.026135707274079323, -0.04185080528259277 ]
1402.0242
Amihud Gilead
Amihud Gilead
Two Kinds of Discovery: An Ontological Account
Last version 2 February 2014
null
null
null
physics.hist-ph
http://creativecommons.org/licenses/by-nc-sa/3.0/
What can we discover? As the discussion in this paper is limited to ontological considerations, it does not deal with the discovery of new concepts. It raises the following question: What are the entities or existents that we can discover? There are two kinds of such entities: (1) actual entities, and (2) possible entities, which are pure possibilities. The paper explains why the first kind of discovery depends primarily on the second kind. The paper illustrates the discoveries of individual pure possibilities by presenting examples such as the Higgs particle, Dirac's positron, and Pauli-Fermi's neutrino.
[ { "created": "Sun, 2 Feb 2014 20:49:29 GMT", "version": "v1" } ]
2014-02-04
[ [ "Gilead", "Amihud", "" ] ]
[ -0.1567859798669815, -0.034841254353523254, 0.01972249150276184, 0.07424717396497726, -0.008731123991310596, -0.029428955167531967, 0.008096528239548206, -0.020387358963489532, 0.038644418120384216, 0.008503339253365993, 0.002877625171095133, -0.007119229529052973, -0.08513076603412628, 0.015076088719069958, 0.06847503036260605, -0.006799906026571989, 0.024616286158561707, 0.012063131667673588, -0.02873379923403263, -0.028275007382035255, 0.06856945902109146, -0.02439950220286846, -0.023375745862722397, -0.027257809415459633, -0.04882035776972771, -0.009003988467156887, 0.029906338080763817, -0.04717661440372467, 0.047755543142557144, -0.06099049001932144, 0.051943350583314896, 0.09243167191743851, 0.04847226291894913, -0.04890710115432739, 0.05332934856414795, 0.07476255297660828, 0.014895419590175152, -0.00531370984390378, 0.06841330230236053, -0.04225119203329086, 0.037655267864465714, -0.04241367429494858, -0.035558052361011505, 0.03852342814207077, 0.03492606431245804, -0.028176844120025635, 0.0018506235210224986, -0.008361377753317356, -0.033224426209926605, -0.018649373203516006, -0.07357457280158997, -0.0334169939160347, -0.019843487069010735, -0.01820497028529644, -0.0132601922377944, -0.013510984368622303, -0.09457414597272873, -0.08146204799413681, -0.028280895203351974, -0.04196080565452576, -0.037693090736866, -0.008396572433412075, -0.0036541959270834923, -0.03970259428024292, 0.044129710644483566, -0.015934301540255547, -0.01579357497394085, 0.021704472601413727, 0.07439026981592178, 0.020559122785925865, 0.08173757791519165, 0.04018465802073479, -0.04576049745082855, 0.018786953762173653, 0.0749012678861618, -0.018278731033205986, 0.07467572391033173, 0.044247761368751526, 0.02556292898952961, 0.031802862882614136, -0.012954769656062126, -0.024465423077344894, 0.0129987308755517, 0.05770981311798096, 0.018858883529901505, 0.020800864323973656, -0.0341067798435688, 0.023424748331308365, -0.08170066773891449, -0.041208699345588684, -0.08115021884441376, -0.10252907127141953, -0.016398323699831963, -0.02947787381708622, 0.08206308633089066, 0.11401234567165375, -0.006906336173415184, -0.04087318107485771, 0.04719765856862068, 0.00889270193874836, 0.007964716292917728, 0.004757551476359367, 0.04000452160835266, 0.021337246522307396, -0.01604863628745079, -0.043811436742544174, -0.04441872239112854, -0.030081316828727722, 0.07731206715106964, -0.053332727402448654, 0.004976927302777767, -0.02398446761071682, 0.006977199111133814, -0.06306823343038559, 0.006089568603783846, -0.03595134988427162, 0.008977767080068588, 0.03154755011200905, -0.07791908085346222, -0.049975305795669556, -0.03435168042778969, 0.044512223452329636, 0.029242293909192085, -0.06558242440223694, -0.020733337849378586, 0.07844942063093185, -0.12057845294475555, 2.4026974124403012e-33, 0.027539284899830818, 0.0607258602976799, 0.024331700056791306, 0.06611604243516922, -0.055130790919065475, 0.08535189926624298, 0.0012627571122720838, -0.07878989726305008, 0.051253791898489, 0.05109853297472, -0.015879521146416664, 0.04629369080066681, 0.01863909885287285, 0.021903010085225105, 0.0083796177059412, -0.012306644581258297, -0.03861531242728233, 0.02640916220843792, 0.08980223536491394, -0.043049801141023636, 0.023863891139626503, 0.06486742943525314, -0.018926819786429405, -0.09500148892402649, 0.045530036091804504, 0.0177738219499588, 0.033349812030792236, -0.08952714502811432, -0.0329660065472126, -0.013852103613317013, -0.009199627675116062, 0.10843197256326675, -0.013484520837664604, 0.1177222952246666, -0.07988303154706955, 0.0144500145688653, -0.09514667838811874, -0.06702834367752075, 0.0035104602575302124, -0.05367720499634743, -0.001027568127028644, 0.07115668803453445, -0.03585369512438774, -0.10056957602500916, 0.013852879405021667, 0.024864252656698227, 0.05322223901748657, -0.019213033840060234, 0.0010416831355541945, 0.00878239143639803, -0.05455303192138672, 0.004989896435290575, 0.02827313169836998, -0.016264596953988075, 0.04211811348795891, 0.03409087285399437, -0.017964277416467667, 0.02900785207748413, 0.0815788134932518, 0.03601010516285896, 0.0036223947536200285, 0.01844370737671852, 0.013540596701204777, 0.01456886064261198, 0.015280715189874172, 0.07532638311386108, -0.01753976382315159, -0.037078652530908585, 0.0016856050351634622, 0.08079260587692261, -0.014228369109332561, 0.039421532303094864, -0.05423799902200699, -0.0843239426612854, 0.030064186081290245, -0.052422020584344864, 0.0068797767162323, -0.06432884931564331, 0.011421686969697475, 0.027657806873321533, -0.04503270611166954, -0.09587239474058151, 0.020291654393076897, 0.037220317870378494, -0.023918449878692627, 0.04905487224459648, -0.016143251210451126, -0.006507103331387043, 0.0025808222126215696, -0.05439130961894989, -0.02256081998348236, 0.06299398094415665, -0.028331341221928596, -0.012746309861540794, -0.005069768521934748, -4.9515899552664165e-33, -0.05566820129752159, -0.021107660606503487, -0.008816416375339031, 0.03032567910850048, 0.010055599734187126, -0.010452748276293278, -0.09577305614948273, -0.04833655804395676, -0.054714594036340714, 0.02799254097044468, -0.02730013243854046, -0.015743503347039223, -0.007733528967946768, -0.08708612620830536, -0.06722214072942734, 0.07034460455179214, -0.08706329017877579, -0.007981735281646252, 0.044595010578632355, 0.0980265736579895, -0.03730848804116249, -0.014840871095657349, -0.1270161122083664, 0.009300743229687214, 0.11946158111095428, 0.07347442954778671, 0.06451066583395004, -0.10303806513547897, 0.019567275419831276, 0.028566859662532806, -0.05899994075298309, -0.04638528823852539, -0.012352701276540756, -0.010802029632031918, 0.04589258134365082, 0.02314717136323452, 0.04637626186013222, 0.04593784734606743, 0.03514469787478447, -0.04721200838685036, -0.017094628885388374, 0.05515707656741142, 0.03239193931221962, -0.024795209988951683, 0.05038464814424515, -0.07090578973293304, 0.04209857061505318, 0.09116441011428833, 0.03558630496263504, 0.015479673631489277, 0.07887785136699677, -0.05782533437013626, -0.01356983557343483, -0.07277150452136993, -0.0264980960637331, 0.08897485584020615, -0.0025433420669287443, -0.009854289703071117, 0.10948199778795242, 0.015250883996486664, -0.030720965936779976, 0.013217298313975334, -0.010363627225160599, 0.11526438593864441, -0.015158596448600292, -0.036714326590299606, -0.10226736217737198, 0.05134419724345207, -0.047958046197891235, -0.09039492160081863, -0.04173571988940239, -0.05074698105454445, -0.058642271906137466, -0.0965842753648758, 0.021263843402266502, 0.05539863184094429, -0.014785337261855602, -0.05958884581923485, 0.04574727639555931, -0.02788577415049076, 0.0025618551298975945, -0.016491243615746498, 0.0410057008266449, -0.019094320014119148, 0.08757895976305008, 0.024378689005970955, -0.03653910756111145, 0.028721386566758156, 0.0825621709227562, -0.04904279112815857, -0.06947973370552063, -0.020709862932562828, -0.10591982305049896, 0.11624418199062347, -0.045062106102705, -5.215918363887795e-8, 0.047070495784282684, -0.0004583867557812482, -0.011487177573144436, -0.023197125643491745, 0.07558052986860275, 0.02380472607910633, -0.02674218639731407, 0.015091360546648502, -0.0665573850274086, 0.09300098568201065, -0.0014054332859814167, 0.09164796024560928, -0.039359137415885925, 0.03334060683846474, 0.07002582401037216, 0.020417427644133568, -0.013203594833612442, -0.05025610700249672, -0.03858233243227005, 0.020843984559178352, 0.12104109674692154, 0.007850446738302708, 0.0308364424854517, 0.0003242719976697117, -0.034941378980875015, -0.030990641564130783, 0.015306706540286541, -0.02431889995932579, -0.006585356313735247, 0.040878776460886, -0.057609923183918, 0.00155987951438874, -0.025231311097741127, 0.01866251230239868, 0.08469808101654053, 0.004945993889123201, -0.05055857077240944, -0.0895514190196991, 0.01931988261640072, -0.0447704941034317, -0.04471076652407646, 0.03037935122847557, -0.05003352463245392, 0.029803398996591568, -0.04217987880110741, -0.06619440764188766, -0.010855423286557198, -0.10140543431043625, -0.04457546025514603, 0.10397054255008698, -0.03418063372373581, 0.049173180013895035, 0.034939445555210114, -0.03328288346529007, 0.02204357087612152, 0.14868153631687164, -0.021303806453943253, 0.010644388385117054, 0.003293814370408654, -0.061305370181798935, 0.09938182681798935, -0.08579368889331818, 0.07530849426984787, 0.04509143531322479 ]
null
null
null
null
null
null
null
[ -0.1567859798669815, -0.034841254353523254, 0.01972249150276184, 0.07424717396497726, -0.008731123991310596, -0.029428955167531967, 0.008096528239548206, -0.020387358963489532, 0.038644418120384216, 0.008503339253365993, 0.002877625171095133, -0.007119229529052973, -0.08513076603412628, 0.015076088719069958, 0.06847503036260605, -0.006799906026571989, 0.024616286158561707, 0.012063131667673588, -0.02873379923403263, -0.028275007382035255, 0.06856945902109146, -0.02439950220286846, -0.023375745862722397, -0.027257809415459633, -0.04882035776972771, -0.009003988467156887, 0.029906338080763817, -0.04717661440372467, 0.047755543142557144, -0.06099049001932144, 0.051943350583314896, 0.09243167191743851, 0.04847226291894913, -0.04890710115432739, 0.05332934856414795, 0.07476255297660828, 0.014895419590175152, -0.00531370984390378, 0.06841330230236053, -0.04225119203329086, 0.037655267864465714, -0.04241367429494858, -0.035558052361011505, 0.03852342814207077, 0.03492606431245804, -0.028176844120025635, 0.0018506235210224986, -0.008361377753317356, -0.033224426209926605, -0.018649373203516006, -0.07357457280158997, -0.0334169939160347, -0.019843487069010735, -0.01820497028529644, -0.0132601922377944, -0.013510984368622303, -0.09457414597272873, -0.08146204799413681, -0.028280895203351974, -0.04196080565452576, -0.037693090736866, -0.008396572433412075, -0.0036541959270834923, -0.03970259428024292, 0.044129710644483566, -0.015934301540255547, -0.01579357497394085, 0.021704472601413727, 0.07439026981592178, 0.020559122785925865, 0.08173757791519165, 0.04018465802073479, -0.04576049745082855, 0.018786953762173653, 0.0749012678861618, -0.018278731033205986, 0.07467572391033173, 0.044247761368751526, 0.02556292898952961, 0.031802862882614136, -0.012954769656062126, -0.024465423077344894, 0.0129987308755517, 0.05770981311798096, 0.018858883529901505, 0.020800864323973656, -0.0341067798435688, 0.023424748331308365, -0.08170066773891449, -0.041208699345588684, -0.08115021884441376, -0.10252907127141953, -0.016398323699831963, -0.02947787381708622, 0.08206308633089066, 0.11401234567165375, -0.006906336173415184, -0.04087318107485771, 0.04719765856862068, 0.00889270193874836, 0.007964716292917728, 0.004757551476359367, 0.04000452160835266, 0.021337246522307396, -0.01604863628745079, -0.043811436742544174, -0.04441872239112854, -0.030081316828727722, 0.07731206715106964, -0.053332727402448654, 0.004976927302777767, -0.02398446761071682, 0.006977199111133814, -0.06306823343038559, 0.006089568603783846, -0.03595134988427162, 0.008977767080068588, 0.03154755011200905, -0.07791908085346222, -0.049975305795669556, -0.03435168042778969, 0.044512223452329636, 0.029242293909192085, -0.06558242440223694, -0.020733337849378586, 0.07844942063093185, -0.12057845294475555, 2.4026974124403012e-33, 0.027539284899830818, 0.0607258602976799, 0.024331700056791306, 0.06611604243516922, -0.055130790919065475, 0.08535189926624298, 0.0012627571122720838, -0.07878989726305008, 0.051253791898489, 0.05109853297472, -0.015879521146416664, 0.04629369080066681, 0.01863909885287285, 0.021903010085225105, 0.0083796177059412, -0.012306644581258297, -0.03861531242728233, 0.02640916220843792, 0.08980223536491394, -0.043049801141023636, 0.023863891139626503, 0.06486742943525314, -0.018926819786429405, -0.09500148892402649, 0.045530036091804504, 0.0177738219499588, 0.033349812030792236, -0.08952714502811432, -0.0329660065472126, -0.013852103613317013, -0.009199627675116062, 0.10843197256326675, -0.013484520837664604, 0.1177222952246666, -0.07988303154706955, 0.0144500145688653, -0.09514667838811874, -0.06702834367752075, 0.0035104602575302124, -0.05367720499634743, -0.001027568127028644, 0.07115668803453445, -0.03585369512438774, -0.10056957602500916, 0.013852879405021667, 0.024864252656698227, 0.05322223901748657, -0.019213033840060234, 0.0010416831355541945, 0.00878239143639803, -0.05455303192138672, 0.004989896435290575, 0.02827313169836998, -0.016264596953988075, 0.04211811348795891, 0.03409087285399437, -0.017964277416467667, 0.02900785207748413, 0.0815788134932518, 0.03601010516285896, 0.0036223947536200285, 0.01844370737671852, 0.013540596701204777, 0.01456886064261198, 0.015280715189874172, 0.07532638311386108, -0.01753976382315159, -0.037078652530908585, 0.0016856050351634622, 0.08079260587692261, -0.014228369109332561, 0.039421532303094864, -0.05423799902200699, -0.0843239426612854, 0.030064186081290245, -0.052422020584344864, 0.0068797767162323, -0.06432884931564331, 0.011421686969697475, 0.027657806873321533, -0.04503270611166954, -0.09587239474058151, 0.020291654393076897, 0.037220317870378494, -0.023918449878692627, 0.04905487224459648, -0.016143251210451126, -0.006507103331387043, 0.0025808222126215696, -0.05439130961894989, -0.02256081998348236, 0.06299398094415665, -0.028331341221928596, -0.012746309861540794, -0.005069768521934748, -4.9515899552664165e-33, -0.05566820129752159, -0.021107660606503487, -0.008816416375339031, 0.03032567910850048, 0.010055599734187126, -0.010452748276293278, -0.09577305614948273, -0.04833655804395676, -0.054714594036340714, 0.02799254097044468, -0.02730013243854046, -0.015743503347039223, -0.007733528967946768, -0.08708612620830536, -0.06722214072942734, 0.07034460455179214, -0.08706329017877579, -0.007981735281646252, 0.044595010578632355, 0.0980265736579895, -0.03730848804116249, -0.014840871095657349, -0.1270161122083664, 0.009300743229687214, 0.11946158111095428, 0.07347442954778671, 0.06451066583395004, -0.10303806513547897, 0.019567275419831276, 0.028566859662532806, -0.05899994075298309, -0.04638528823852539, -0.012352701276540756, -0.010802029632031918, 0.04589258134365082, 0.02314717136323452, 0.04637626186013222, 0.04593784734606743, 0.03514469787478447, -0.04721200838685036, -0.017094628885388374, 0.05515707656741142, 0.03239193931221962, -0.024795209988951683, 0.05038464814424515, -0.07090578973293304, 0.04209857061505318, 0.09116441011428833, 0.03558630496263504, 0.015479673631489277, 0.07887785136699677, -0.05782533437013626, -0.01356983557343483, -0.07277150452136993, -0.0264980960637331, 0.08897485584020615, -0.0025433420669287443, -0.009854289703071117, 0.10948199778795242, 0.015250883996486664, -0.030720965936779976, 0.013217298313975334, -0.010363627225160599, 0.11526438593864441, -0.015158596448600292, -0.036714326590299606, -0.10226736217737198, 0.05134419724345207, -0.047958046197891235, -0.09039492160081863, -0.04173571988940239, -0.05074698105454445, -0.058642271906137466, -0.0965842753648758, 0.021263843402266502, 0.05539863184094429, -0.014785337261855602, -0.05958884581923485, 0.04574727639555931, -0.02788577415049076, 0.0025618551298975945, -0.016491243615746498, 0.0410057008266449, -0.019094320014119148, 0.08757895976305008, 0.024378689005970955, -0.03653910756111145, 0.028721386566758156, 0.0825621709227562, -0.04904279112815857, -0.06947973370552063, -0.020709862932562828, -0.10591982305049896, 0.11624418199062347, -0.045062106102705, -5.215918363887795e-8, 0.047070495784282684, -0.0004583867557812482, -0.011487177573144436, -0.023197125643491745, 0.07558052986860275, 0.02380472607910633, -0.02674218639731407, 0.015091360546648502, -0.0665573850274086, 0.09300098568201065, -0.0014054332859814167, 0.09164796024560928, -0.039359137415885925, 0.03334060683846474, 0.07002582401037216, 0.020417427644133568, -0.013203594833612442, -0.05025610700249672, -0.03858233243227005, 0.020843984559178352, 0.12104109674692154, 0.007850446738302708, 0.0308364424854517, 0.0003242719976697117, -0.034941378980875015, -0.030990641564130783, 0.015306706540286541, -0.02431889995932579, -0.006585356313735247, 0.040878776460886, -0.057609923183918, 0.00155987951438874, -0.025231311097741127, 0.01866251230239868, 0.08469808101654053, 0.004945993889123201, -0.05055857077240944, -0.0895514190196991, 0.01931988261640072, -0.0447704941034317, -0.04471076652407646, 0.03037935122847557, -0.05003352463245392, 0.029803398996591568, -0.04217987880110741, -0.06619440764188766, -0.010855423286557198, -0.10140543431043625, -0.04457546025514603, 0.10397054255008698, -0.03418063372373581, 0.049173180013895035, 0.034939445555210114, -0.03328288346529007, 0.02204357087612152, 0.14868153631687164, -0.021303806453943253, 0.010644388385117054, 0.003293814370408654, -0.061305370181798935, 0.09938182681798935, -0.08579368889331818, 0.07530849426984787, 0.04509143531322479 ]
1402.0246
Di Li
Di Li, Soummya Kar, Jose' M. F. Moura, H. Vincent Poor, Shuguang Cui
Distributed Kalman Filtering over Massive Data Sets: Analysis Through Large Deviations of Random Riccati Equations
22 pages, 4 figures. IEEE Transactions on Information Thoery, to appear
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper studies the convergence of the estimation error process and the characterization of the corresponding invariant measure in distributed Kalman filtering for potentially unstable and large linear dynamic systems. A gossip network protocol termed Modified Gossip Interactive Kalman Filtering (M-GIKF) is proposed, where sensors exchange their filtered states (estimates and error covariances) and propagate their observations via inter-sensor communications of rate $\overline{\gamma}$; $\overline{\gamma}$ is defined as the averaged number of inter-sensor message passages per signal evolution epoch. The filtered states are interpreted as stochastic particles swapped through local interaction. The paper shows that the conditional estimation error covariance sequence at each sensor under M-GIKF evolves as a random Riccati equation (RRE) with Markov modulated switching. By formulating the RRE as a random dynamical system, it is shown that the network achieves weak consensus, i.e., the conditional estimation error covariance at a randomly selected sensor converges weakly (in distribution) to a unique invariant measure. Further, it is proved that as $\overline{\gamma} \rightarrow \infty$ this invariant measure satisfies the Large Deviation (LD) upper and lower bounds, implying that this measure converges exponentially fast (in probability) to the Dirac measure $\delta_{P^*}$, where $P^*$ is the stable error covariance of the centralized (Kalman) filtering setup. The LD results answer a fundamental question on how to quantify the rate at which the distributed scheme approaches the centralized performance as the inter-sensor communication rate increases.
[ { "created": "Sun, 2 Feb 2014 21:00:23 GMT", "version": "v1" }, { "created": "Sun, 16 Feb 2014 03:12:41 GMT", "version": "v2" }, { "created": "Mon, 12 Jan 2015 17:42:14 GMT", "version": "v3" } ]
2015-01-13
[ [ "Li", "Di", "" ], [ "Kar", "Soummya", "" ], [ "Moura", "Jose' M. F.", "" ], [ "Poor", "H. Vincent", "" ], [ "Cui", "Shuguang", "" ] ]
[ -0.06778755784034729, -0.09185334295034409, 0.021787824109196663, 0.047764554619789124, 0.014505632221698761, -0.0294000543653965, 0.08988692611455917, -0.029424339532852173, 0.07170266658067703, 0.036486029624938965, -0.030811619013547897, 0.04718196392059326, 0.07761944830417633, -0.02594459056854248, -0.06124705821275711, 0.0007619228563271463, 0.06980715692043304, 0.016303449869155884, -0.06346119195222855, -0.06114266812801361, -0.06205959990620613, 0.05800095945596695, -0.049140579998493195, 0.10531000792980194, 0.01612222008407116, 0.0520283505320549, -0.026557419449090958, -0.07471298426389694, -0.08175556361675262, 0.04884811490774155, -0.0037735705263912678, -0.03481445088982582, -0.03383050858974457, -0.027128396555781364, 0.00517677515745163, 0.03794743865728378, -0.03785788640379906, -0.07552818208932877, 0.02398473210632801, 0.058677077293395996, 0.04920985549688339, 0.06529819965362549, -0.008481182157993317, -0.05498871952295303, -0.02280294895172119, -0.024517061188817024, 0.06638830900192261, 0.005144116934388876, -0.0016982986126095057, -0.01923893578350544, -0.03669833019375801, 0.044608715921640396, -0.029924539849162102, -0.012156941927969456, 0.1337333619594574, -0.06533998250961304, -0.023997798562049866, 0.048738084733486176, 0.08276017755270004, 0.018124207854270935, 0.04095255210995674, -0.02883974090218544, 0.025621026754379272, 0.048971161246299744, -0.02951793186366558, 0.05492527410387993, -0.026432374492287636, 0.10030512511730194, 0.023309389129281044, -0.015186351723968983, -0.05678486451506615, 0.0634898915886879, -0.06653391569852829, -0.019411487504839897, -0.0027837471570819616, -0.009348547086119652, 0.028270035982131958, -0.037258148193359375, 0.010918444022536278, 0.018769579008221626, 0.013694771565496922, -0.004920948762446642, 0.07917959243059158, -0.14543181657791138, 0.0022561668884009123, -0.030729403719305992, -0.0026542809791862965, -0.018249310553073883, 0.07563048601150513, -0.077534981071949, 0.0012497209245339036, 0.019077211618423462, -0.042791012674570084, 0.06618388742208481, 0.06277722120285034, -0.04725915566086769, 0.03260181099176407, 0.029949450865387917, 0.07689172774553299, 0.07179718464612961, -0.028270604088902473, -0.08155414462089539, -0.0013073397567495704, 0.06485804170370102, 0.017689671367406845, -0.05448676645755768, 0.04873315989971161, -0.004086614586412907, 0.022338997572660446, 0.08155760914087296, -0.02121470868587494, -0.0030476271640509367, 0.0039548976346850395, 0.08251214772462845, -0.06024042144417763, 0.030978593975305557, 0.041376743465662, 0.017592135816812515, -0.002671525115147233, -0.0026952673215419054, 0.01479746587574482, -0.10080285370349884, 0.0013735024258494377, -0.04143354669213295, 0.09645391255617142, 0.1348317265510559, 0.06503835320472717, 4.879820974196427e-34, -0.01616065576672554, -0.021639442071318626, 0.005373348481953144, -0.03171436861157417, -0.011090856045484543, -0.004162846598774195, -0.01944301649928093, -0.10822626948356628, -0.008900986984372139, -0.024107061326503754, 0.021180618554353714, 0.07002301514148712, -0.006768574006855488, -0.06357012689113617, -0.0018725672271102667, -0.029682055115699768, -0.016236437484622, -0.00873495638370514, 0.047696955502033234, -0.032451871782541275, 0.0906549021601677, -0.04623786360025406, -0.06552065163850784, 0.02355954423546791, -0.031416427344083786, 0.026343820616602898, 0.03999330848455429, -0.011729319579899311, 0.014218228869140148, 0.03787174075841904, -0.004427813924849033, -0.01360145304352045, -0.004649971146136522, 0.051916372030973434, -0.09255490452051163, -0.04769633710384369, -0.07423017919063568, -0.047485604882240295, -0.05019271746277809, -0.020756645128130913, 0.03920377790927887, -0.025951141491532326, -0.047487322241067886, -0.05843804031610489, -0.04774772748351097, -0.07653646171092987, -0.03137633576989174, -0.018768422305583954, -0.025910478085279465, -0.07378744333982468, -0.019186995923519135, -0.04221360385417938, 0.03162761777639389, 0.014876695349812508, 0.07254898548126221, 0.004551459103822708, 0.03646157309412956, -0.05823362618684769, 0.03453152999281883, 0.02898198738694191, -0.04726400971412659, -0.0000889161674422212, 0.02693505398929119, -0.08986208587884903, 0.1840105652809143, 0.11669357120990753, -0.04209424555301666, 0.031832005828619, 0.10339492559432983, -0.03356236591935158, 0.06383845210075378, -0.05304722115397453, -0.07891716063022614, 0.02403475157916546, 0.03831204026937485, -0.013881546445190907, -0.04040273651480675, 0.023977389559149742, -0.09275489300489426, 0.13730867207050323, -0.10065780580043793, -0.051144521683454514, -0.07146761566400528, 0.08234377950429916, 0.007978633046150208, -0.02013862505555153, -0.06495625525712967, 0.02706027962267399, -0.08140116184949875, 0.04797299951314926, 0.012561636976897717, 0.02386508136987686, 0.01044956874102354, 0.04690771922469139, -0.001279932213947177, -1.411944672148206e-33, -0.02833406627178192, 0.04524889960885048, 0.03648347780108452, 0.11172071844339371, -0.03480621799826622, -0.03486080840229988, -0.01409177016466856, 0.04160642623901367, 0.013386462815105915, -0.0562882162630558, -0.11519321799278259, -0.06861726194620132, -0.03215330094099045, 0.09418673813343048, 0.04822571575641632, -0.04283353313803673, 0.061031170189380646, 0.01206010952591896, 0.01872195117175579, -0.028111567720770836, -0.0030086857732385397, -0.02135629393160343, 0.00972157996147871, -0.005133945494890213, 0.06031364947557449, 0.005936511792242527, 0.03587533161044121, 0.0725388154387474, 0.04102606326341629, -0.06284604966640472, -0.03550127521157265, -0.07192811369895935, 0.024732140824198723, 0.07687158137559891, 0.001853283611126244, 0.051182571798563004, -0.013061043806374073, 0.004303403198719025, -0.03352213650941849, 0.0412934310734272, 0.05644657090306282, -0.02136838808655739, -0.02393553964793682, 0.05572500452399254, -0.011809648014605045, -0.04642384126782417, 0.02540404722094536, 0.14290839433670044, -0.02744327485561371, -0.05134638398885727, -0.002402023645117879, 0.05713848024606705, -0.01574101857841015, 0.0731765478849411, -0.07675211876630783, 0.08375152200460434, 0.05635972321033478, 0.07483616471290588, -0.00038944758125580847, -0.013192146085202694, 0.015181194059550762, -0.06878131628036499, 0.003792985575273633, 0.033304572105407715, 0.02281998097896576, 0.055451758205890656, 0.005970658268779516, -0.08015874773263931, 0.08466259390115738, 0.05711755156517029, 0.10143423080444336, -0.044261716306209564, -0.006504664197564125, 0.007941334508359432, 0.10634766519069672, 0.002079744590446353, -0.06864124536514282, 0.01198901142925024, 0.020451845601201057, -0.0531691312789917, -0.05328722298145294, 0.02930610068142414, 0.032164085656404495, -0.008194049820303917, 0.041023943573236465, -0.01454508863389492, -0.045794930309057236, -0.029852019622921944, 0.06351059675216675, -0.017198510468006134, 0.0044802287593483925, -0.07984975725412369, -0.018621930852532387, -0.00382870901376009, -0.05246231332421303, -5.0718206523470144e-8, -0.030306946486234665, 0.02517712116241455, -0.01074980478733778, -0.011511900462210178, 0.09438440203666687, 0.09640387445688248, 0.05008615180850029, -0.08431065827608109, 0.007885404862463474, 0.003921307157725096, 0.02567126788198948, -0.0139840766787529, -0.018366025760769844, -0.039910487830638885, -0.05068798363208771, 0.017012223601341248, -0.0416359007358551, -0.019844695925712585, 0.015081575140357018, 0.011138822883367538, 0.041650544852018356, -0.04396551847457886, -0.056355733424425125, 0.0404977947473526, -0.018260611221194267, -0.005604560486972332, 0.020870348438620567, 0.03357485681772232, 0.022549955174326897, -0.028039293363690376, -0.004685279913246632, -0.01186368428170681, -0.020049456506967545, 0.004232434090226889, -0.10380101203918457, 0.006617392413318157, 0.012665831483900547, -0.0009571532718837261, 0.04690035805106163, -0.04251466691493988, -0.016131343320012093, -0.027323953807353973, 0.01901361159980297, -0.0109911123290658, -0.059447091072797775, 0.03964793309569359, 0.04303750395774841, -0.09946522116661072, 0.04032522812485695, -0.049512431025505066, 0.005180944222956896, -0.03309502825140953, -0.004041890148073435, -0.0017514529172331095, -0.0036131166853010654, -0.04837089031934738, 0.0781753733754158, -0.125132754445076, 0.05129031836986542, 0.06123721972107887, -0.04113367199897766, 0.0287727490067482, -0.07976436614990234, -0.07764335721731186 ]
null
null
null
null
null
null
null
[ -0.06778755784034729, -0.09185334295034409, 0.021787824109196663, 0.047764554619789124, 0.014505632221698761, -0.0294000543653965, 0.08988692611455917, -0.029424339532852173, 0.07170266658067703, 0.036486029624938965, -0.030811619013547897, 0.04718196392059326, 0.07761944830417633, -0.02594459056854248, -0.06124705821275711, 0.0007619228563271463, 0.06980715692043304, 0.016303449869155884, -0.06346119195222855, -0.06114266812801361, -0.06205959990620613, 0.05800095945596695, -0.049140579998493195, 0.10531000792980194, 0.01612222008407116, 0.0520283505320549, -0.026557419449090958, -0.07471298426389694, -0.08175556361675262, 0.04884811490774155, -0.0037735705263912678, -0.03481445088982582, -0.03383050858974457, -0.027128396555781364, 0.00517677515745163, 0.03794743865728378, -0.03785788640379906, -0.07552818208932877, 0.02398473210632801, 0.058677077293395996, 0.04920985549688339, 0.06529819965362549, -0.008481182157993317, -0.05498871952295303, -0.02280294895172119, -0.024517061188817024, 0.06638830900192261, 0.005144116934388876, -0.0016982986126095057, -0.01923893578350544, -0.03669833019375801, 0.044608715921640396, -0.029924539849162102, -0.012156941927969456, 0.1337333619594574, -0.06533998250961304, -0.023997798562049866, 0.048738084733486176, 0.08276017755270004, 0.018124207854270935, 0.04095255210995674, -0.02883974090218544, 0.025621026754379272, 0.048971161246299744, -0.02951793186366558, 0.05492527410387993, -0.026432374492287636, 0.10030512511730194, 0.023309389129281044, -0.015186351723968983, -0.05678486451506615, 0.0634898915886879, -0.06653391569852829, -0.019411487504839897, -0.0027837471570819616, -0.009348547086119652, 0.028270035982131958, -0.037258148193359375, 0.010918444022536278, 0.018769579008221626, 0.013694771565496922, -0.004920948762446642, 0.07917959243059158, -0.14543181657791138, 0.0022561668884009123, -0.030729403719305992, -0.0026542809791862965, -0.018249310553073883, 0.07563048601150513, -0.077534981071949, 0.0012497209245339036, 0.019077211618423462, -0.042791012674570084, 0.06618388742208481, 0.06277722120285034, -0.04725915566086769, 0.03260181099176407, 0.029949450865387917, 0.07689172774553299, 0.07179718464612961, -0.028270604088902473, -0.08155414462089539, -0.0013073397567495704, 0.06485804170370102, 0.017689671367406845, -0.05448676645755768, 0.04873315989971161, -0.004086614586412907, 0.022338997572660446, 0.08155760914087296, -0.02121470868587494, -0.0030476271640509367, 0.0039548976346850395, 0.08251214772462845, -0.06024042144417763, 0.030978593975305557, 0.041376743465662, 0.017592135816812515, -0.002671525115147233, -0.0026952673215419054, 0.01479746587574482, -0.10080285370349884, 0.0013735024258494377, -0.04143354669213295, 0.09645391255617142, 0.1348317265510559, 0.06503835320472717, 4.879820974196427e-34, -0.01616065576672554, -0.021639442071318626, 0.005373348481953144, -0.03171436861157417, -0.011090856045484543, -0.004162846598774195, -0.01944301649928093, -0.10822626948356628, -0.008900986984372139, -0.024107061326503754, 0.021180618554353714, 0.07002301514148712, -0.006768574006855488, -0.06357012689113617, -0.0018725672271102667, -0.029682055115699768, -0.016236437484622, -0.00873495638370514, 0.047696955502033234, -0.032451871782541275, 0.0906549021601677, -0.04623786360025406, -0.06552065163850784, 0.02355954423546791, -0.031416427344083786, 0.026343820616602898, 0.03999330848455429, -0.011729319579899311, 0.014218228869140148, 0.03787174075841904, -0.004427813924849033, -0.01360145304352045, -0.004649971146136522, 0.051916372030973434, -0.09255490452051163, -0.04769633710384369, -0.07423017919063568, -0.047485604882240295, -0.05019271746277809, -0.020756645128130913, 0.03920377790927887, -0.025951141491532326, -0.047487322241067886, -0.05843804031610489, -0.04774772748351097, -0.07653646171092987, -0.03137633576989174, -0.018768422305583954, -0.025910478085279465, -0.07378744333982468, -0.019186995923519135, -0.04221360385417938, 0.03162761777639389, 0.014876695349812508, 0.07254898548126221, 0.004551459103822708, 0.03646157309412956, -0.05823362618684769, 0.03453152999281883, 0.02898198738694191, -0.04726400971412659, -0.0000889161674422212, 0.02693505398929119, -0.08986208587884903, 0.1840105652809143, 0.11669357120990753, -0.04209424555301666, 0.031832005828619, 0.10339492559432983, -0.03356236591935158, 0.06383845210075378, -0.05304722115397453, -0.07891716063022614, 0.02403475157916546, 0.03831204026937485, -0.013881546445190907, -0.04040273651480675, 0.023977389559149742, -0.09275489300489426, 0.13730867207050323, -0.10065780580043793, -0.051144521683454514, -0.07146761566400528, 0.08234377950429916, 0.007978633046150208, -0.02013862505555153, -0.06495625525712967, 0.02706027962267399, -0.08140116184949875, 0.04797299951314926, 0.012561636976897717, 0.02386508136987686, 0.01044956874102354, 0.04690771922469139, -0.001279932213947177, -1.411944672148206e-33, -0.02833406627178192, 0.04524889960885048, 0.03648347780108452, 0.11172071844339371, -0.03480621799826622, -0.03486080840229988, -0.01409177016466856, 0.04160642623901367, 0.013386462815105915, -0.0562882162630558, -0.11519321799278259, -0.06861726194620132, -0.03215330094099045, 0.09418673813343048, 0.04822571575641632, -0.04283353313803673, 0.061031170189380646, 0.01206010952591896, 0.01872195117175579, -0.028111567720770836, -0.0030086857732385397, -0.02135629393160343, 0.00972157996147871, -0.005133945494890213, 0.06031364947557449, 0.005936511792242527, 0.03587533161044121, 0.0725388154387474, 0.04102606326341629, -0.06284604966640472, -0.03550127521157265, -0.07192811369895935, 0.024732140824198723, 0.07687158137559891, 0.001853283611126244, 0.051182571798563004, -0.013061043806374073, 0.004303403198719025, -0.03352213650941849, 0.0412934310734272, 0.05644657090306282, -0.02136838808655739, -0.02393553964793682, 0.05572500452399254, -0.011809648014605045, -0.04642384126782417, 0.02540404722094536, 0.14290839433670044, -0.02744327485561371, -0.05134638398885727, -0.002402023645117879, 0.05713848024606705, -0.01574101857841015, 0.0731765478849411, -0.07675211876630783, 0.08375152200460434, 0.05635972321033478, 0.07483616471290588, -0.00038944758125580847, -0.013192146085202694, 0.015181194059550762, -0.06878131628036499, 0.003792985575273633, 0.033304572105407715, 0.02281998097896576, 0.055451758205890656, 0.005970658268779516, -0.08015874773263931, 0.08466259390115738, 0.05711755156517029, 0.10143423080444336, -0.044261716306209564, -0.006504664197564125, 0.007941334508359432, 0.10634766519069672, 0.002079744590446353, -0.06864124536514282, 0.01198901142925024, 0.020451845601201057, -0.0531691312789917, -0.05328722298145294, 0.02930610068142414, 0.032164085656404495, -0.008194049820303917, 0.041023943573236465, -0.01454508863389492, -0.045794930309057236, -0.029852019622921944, 0.06351059675216675, -0.017198510468006134, 0.0044802287593483925, -0.07984975725412369, -0.018621930852532387, -0.00382870901376009, -0.05246231332421303, -5.0718206523470144e-8, -0.030306946486234665, 0.02517712116241455, -0.01074980478733778, -0.011511900462210178, 0.09438440203666687, 0.09640387445688248, 0.05008615180850029, -0.08431065827608109, 0.007885404862463474, 0.003921307157725096, 0.02567126788198948, -0.0139840766787529, -0.018366025760769844, -0.039910487830638885, -0.05068798363208771, 0.017012223601341248, -0.0416359007358551, -0.019844695925712585, 0.015081575140357018, 0.011138822883367538, 0.041650544852018356, -0.04396551847457886, -0.056355733424425125, 0.0404977947473526, -0.018260611221194267, -0.005604560486972332, 0.020870348438620567, 0.03357485681772232, 0.022549955174326897, -0.028039293363690376, -0.004685279913246632, -0.01186368428170681, -0.020049456506967545, 0.004232434090226889, -0.10380101203918457, 0.006617392413318157, 0.012665831483900547, -0.0009571532718837261, 0.04690035805106163, -0.04251466691493988, -0.016131343320012093, -0.027323953807353973, 0.01901361159980297, -0.0109911123290658, -0.059447091072797775, 0.03964793309569359, 0.04303750395774841, -0.09946522116661072, 0.04032522812485695, -0.049512431025505066, 0.005180944222956896, -0.03309502825140953, -0.004041890148073435, -0.0017514529172331095, -0.0036131166853010654, -0.04837089031934738, 0.0781753733754158, -0.125132754445076, 0.05129031836986542, 0.06123721972107887, -0.04113367199897766, 0.0287727490067482, -0.07976436614990234, -0.07764335721731186 ]
1402.0247
Rumaisah Munir
Ms. Rumaisah Munir
Secure Debit Card Device Model
Royal Institute of Technology, KTH
null
null
null
cs.CE cs.CR
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The project envisages the implementation of an e-payment system utilizing FIPS-201 Smart Card. The system combines hardware and software modules. The hardware module takes data insertions (e.g. currency notes), processes the data and then creates connection with the smart card using serial/USB ports to perform further mathematical manipulations. The hardware interacts with servers at the back for authentication and identification of users and for data storage pertaining to a particular user. The software module manages database, handles identities, provide authentication and secure communication between the various system components. It will also provide a component to the end users. This component can be in the form of software for computer or executable binaries for PoS devices. The idea is to receive data in the embedded system from data reader and smart card. After manipulations, the updated data is imprinted on smart card memory and also updated in the back end servers maintaining database. The information to be sent to a server is sent through a PoS device which has multiple transfer mediums involving wired and un-wired mediums. The user device also acts as an updater; therefore, whenever the smart card is inserted by user, it is automatically updated by synchronizing with back-end database. The project required expertise in embedded systems, networks, java and C++ (Optional).
[ { "created": "Sun, 2 Feb 2014 21:08:07 GMT", "version": "v1" } ]
2014-02-04
[ [ "Munir", "Ms. Rumaisah", "" ] ]
[ -0.08172571659088135, 0.07806052267551422, -0.07842051982879639, -0.04796057194471359, -0.05191708728671074, -0.06287414580583572, 0.12243658304214478, 0.07485567778348923, 0.013010373339056969, -0.034380942583084106, 0.06612257659435272, 0.05511436611413956, 0.020602881908416748, -0.08332725614309311, 0.00903658103197813, -0.04871441051363945, 0.03519655764102936, -0.06768423318862915, 0.0848747119307518, 0.048564642667770386, -0.006237930152565241, -0.05154217407107353, -0.0697934627532959, 0.01660848781466484, -0.09021660685539246, 0.04196744039654732, 0.09645885229110718, -0.020262526348233223, -0.029835214838385582, -0.034783437848091125, 0.05774219334125519, 0.003407794050872326, 0.07561834156513214, 0.028746478259563446, -0.07926895469427109, -0.02454899437725544, 0.07459143549203873, -0.025328705087304115, -0.10410413891077042, -0.12718600034713745, -0.04606441780924797, -0.1043761670589447, -0.0905805453658104, 0.04445178434252739, 0.036697931587696075, -0.020481526851654053, -0.031171636655926704, 0.037658464163541794, -0.08881869167089462, -0.06272609531879425, -0.036805160343647, 0.008699599653482437, -0.0018145459471270442, 0.06498444080352783, -0.05859682336449623, 0.0215016920119524, 0.08516301214694977, -0.0032819805201143026, -0.039965152740478516, -0.02218436636030674, 0.026576640084385872, 0.021822145208716393, 0.012975779362022877, 0.019186237826943398, 0.008499044924974442, 0.01260905060917139, 0.06325644254684448, -0.06327333301305771, 0.047011543065309525, -0.10796279460191727, -0.028378436341881752, -0.02301046997308731, -0.03877103328704834, 0.00241584493778646, -0.031421560794115067, 0.0001791846298146993, -0.05959032475948334, 0.00887972954660654, 0.039390768855810165, -0.03468620777130127, -0.0003738755185622722, 0.016016367822885513, -0.022807197645306587, -0.003266328014433384, 0.049939535558223724, -0.03708949685096741, -0.015809619799256325, 0.014012624509632587, -0.04995875433087349, -0.09634488821029663, 0.0412730947136879, -0.001982912654057145, -0.006074528209865093, 0.04094245284795761, 0.05610217899084091, 0.03156670182943344, -0.004680001176893711, -0.05106737092137337, 0.052557602524757385, 0.017378488555550575, 0.007082149386405945, 0.09971410036087036, 0.0006076201098039746, 0.013976985588669777, 0.03865022584795952, -0.019905034452676773, 0.0036989618092775345, -0.008641892112791538, 0.04494377598166466, -0.06362482905387878, -0.05663017928600311, -0.03297875449061394, -0.06060595437884331, -0.05947386845946312, -0.023067016154527664, 0.006778500974178314, -0.0724891722202301, 0.11637302488088608, 0.017970887944102287, 0.05860798433423042, 0.023378457874059677, 0.016078336164355278, -0.06641119718551636, -0.0012717635836452246, 0.05165897309780121, -0.04336327314376831, 0.0041200509294867516, 3.8959130089394755e-33, -0.07689015567302704, -0.004560851491987705, -0.06728091090917587, -0.014040738344192505, -0.03039984218776226, -0.018382372334599495, 0.021770263090729713, -0.005735186859965324, 0.01093979924917221, -0.0030395726207643747, -0.03791356086730957, 0.029930677264928818, 0.03017573431134224, 0.09596732258796692, 0.07302327454090118, -0.065369613468647, -0.061033107340335846, 0.05054695904254913, 0.19310446083545685, 0.06949346512556076, 0.03256881982088089, -0.023260748013854027, 0.06495027989149094, -0.03052559867501259, 0.14851132035255432, 0.11553168296813965, -0.060623615980148315, 0.02586417831480503, 0.07137648016214371, 0.005736674647778273, 0.08740625530481339, -0.04742284119129181, 0.00873189140111208, 0.03233283758163452, -0.002266544383019209, -0.031316593289375305, 0.005269521847367287, -0.053138889372348785, -0.011663773097097874, -0.039998479187488556, 0.03916914761066437, 0.03539452329277992, -0.028993744403123856, -0.02573445998132229, -0.059005241841077805, 0.002556469291448593, 0.02041706070303917, 0.061148982495069504, -0.002145391656085849, 0.06573047488927841, -0.035127971321344376, -0.012784172780811787, -0.05973859876394272, -0.0018545460188761353, -0.0186596866697073, -0.05332019180059433, -0.03358831629157066, -0.03697456791996956, 0.009558149613440037, 0.012799756601452827, -0.03511681780219078, -0.04490130394697189, 0.006361389998346567, -0.04574591666460037, 0.0000010794049103424186, 0.010898558422923088, 0.07628703117370605, -0.05522143840789795, -0.002061406848952174, 0.09489981830120087, -0.038331497460603714, 0.05435017868876457, 0.021670276299118996, -0.037435583770275116, -0.07978193461894989, 0.03830608353018761, -0.07506952434778214, 0.006068418268114328, -0.08327649533748627, 0.03152555599808693, -0.1036384180188179, -0.006743727717548609, -0.033444978296756744, 0.058196645230054855, 0.025167232379317284, 0.03908111900091171, -0.048650212585926056, 0.010138335637748241, -0.014317745342850685, -0.036346495151519775, 0.047724589705467224, 0.033718355000019073, 0.015470937825739384, 0.03599977865815163, 0.029899660497903824, -4.7274389782699454e-33, -0.02889438532292843, -0.03604039549827576, -0.0437711663544178, 0.05606921762228012, 0.012778140604496002, -0.020585907623171806, -0.05782186612486839, 0.061513472348451614, -0.031124409288167953, 0.05218332260847092, -0.046811092644929886, -0.03901337832212448, 0.03478182479739189, -0.041282132267951965, 0.004154099151492119, 0.008382835425436497, -0.056179229170084, -0.04263875260949135, -0.018531324341893196, 0.013482777401804924, -0.05350847542285919, 0.11610227078199387, 0.03959169611334801, -0.00009403455624124035, 0.04889478534460068, 0.0388527549803257, -0.07193347066640854, -0.03425496071577072, -0.0035624592565000057, -0.027970140799880028, 0.01739857904613018, -0.10290984809398651, 0.0007426576339639723, -0.016845693811774254, -0.0349053256213665, -0.03085707686841488, 0.052815526723861694, 0.06123986095190048, 0.05743009224534035, 0.010944470763206482, 0.14162638783454895, 0.03394945710897446, -0.0384141243994236, -0.03343872353434563, -0.03741877153515816, -0.06156373769044876, -0.06926208734512329, 0.08533558249473572, -0.04412958398461342, -0.08156761527061462, -0.009770963340997696, 0.004450176376849413, 0.054316792637109756, -0.028839705511927605, -0.0020113757345825434, 0.0929914116859436, 0.08771520853042603, 0.03694438561797142, 0.0030111586675047874, -0.021615708246827126, 0.03572899103164673, -0.09021160006523132, 0.09725745767354965, 0.06600137799978256, 0.002326326910406351, 0.03376224264502525, 0.0636165589094162, -0.01577373966574669, 0.0031279914546757936, -0.0002729489642661065, 0.033822253346443176, 0.041433390229940414, -0.015225830487906933, 0.02009451948106289, 0.076226145029068, 0.027834009379148483, -0.0684700533747673, -0.07450350373983383, 0.045407485216856, -0.05234929919242859, -0.06056831032037735, -0.0178198404610157, 0.006083138752728701, 0.04808887466788292, -0.05660074204206467, -0.09154320508241653, 0.030179806053638458, -0.06307480484247208, 0.017268093302845955, -0.07465259730815887, -0.10216447710990906, 0.07528898119926453, -0.04385441914200783, 0.06855448335409164, -0.055838048458099365, -5.214066334247036e-8, -0.010764163918793201, -0.014497602358460426, -0.07115667313337326, 0.08507014065980911, 0.009146664291620255, -0.022743327543139458, -0.02507607638835907, -0.03149385005235672, 0.021383382380008698, -0.0467306487262249, 0.033306073397397995, -0.0492190457880497, -0.044370971620082855, -0.037449490278959274, 0.11204952001571655, 0.01190761849284172, 0.08902870118618011, -0.029237989336252213, -0.0510987862944603, -0.05709865316748619, 0.04867921024560928, 0.01558906864374876, 0.01678803749382496, 0.055494703352451324, 0.07247130572795868, 0.03326822817325592, 0.0961737111210823, 0.04780443385243416, 0.05649673566222191, 0.009351137094199657, -0.022837163880467415, -0.0037283210549503565, 0.030217690393328667, 0.044791433960199356, 0.044652994722127914, 0.004424628335982561, 0.046873804181814194, -0.001190986018627882, 0.021038368344306946, 0.08803462982177734, -0.03304518759250641, -0.04183274134993553, -0.053317900747060776, -0.03578188642859459, 0.041389863938093185, -0.03818454220890999, -0.039750538766384125, -0.03126326575875282, -0.019062131643295288, 0.048507772386074066, -0.017702272161841393, -0.01882411167025566, -0.005914649460464716, 0.046850334852933884, -0.013079003430902958, -0.02833314798772335, 0.025489715859293938, -0.06265631318092346, 0.09663917869329453, 0.034786973148584366, 0.03126678243279457, 0.046421874314546585, 0.028240224346518517, -0.007694921921938658 ]
null
null
null
null
null
null
null
[ -0.08172571659088135, 0.07806052267551422, -0.07842051982879639, -0.04796057194471359, -0.05191708728671074, -0.06287414580583572, 0.12243658304214478, 0.07485567778348923, 0.013010373339056969, -0.034380942583084106, 0.06612257659435272, 0.05511436611413956, 0.020602881908416748, -0.08332725614309311, 0.00903658103197813, -0.04871441051363945, 0.03519655764102936, -0.06768423318862915, 0.0848747119307518, 0.048564642667770386, -0.006237930152565241, -0.05154217407107353, -0.0697934627532959, 0.01660848781466484, -0.09021660685539246, 0.04196744039654732, 0.09645885229110718, -0.020262526348233223, -0.029835214838385582, -0.034783437848091125, 0.05774219334125519, 0.003407794050872326, 0.07561834156513214, 0.028746478259563446, -0.07926895469427109, -0.02454899437725544, 0.07459143549203873, -0.025328705087304115, -0.10410413891077042, -0.12718600034713745, -0.04606441780924797, -0.1043761670589447, -0.0905805453658104, 0.04445178434252739, 0.036697931587696075, -0.020481526851654053, -0.031171636655926704, 0.037658464163541794, -0.08881869167089462, -0.06272609531879425, -0.036805160343647, 0.008699599653482437, -0.0018145459471270442, 0.06498444080352783, -0.05859682336449623, 0.0215016920119524, 0.08516301214694977, -0.0032819805201143026, -0.039965152740478516, -0.02218436636030674, 0.026576640084385872, 0.021822145208716393, 0.012975779362022877, 0.019186237826943398, 0.008499044924974442, 0.01260905060917139, 0.06325644254684448, -0.06327333301305771, 0.047011543065309525, -0.10796279460191727, -0.028378436341881752, -0.02301046997308731, -0.03877103328704834, 0.00241584493778646, -0.031421560794115067, 0.0001791846298146993, -0.05959032475948334, 0.00887972954660654, 0.039390768855810165, -0.03468620777130127, -0.0003738755185622722, 0.016016367822885513, -0.022807197645306587, -0.003266328014433384, 0.049939535558223724, -0.03708949685096741, -0.015809619799256325, 0.014012624509632587, -0.04995875433087349, -0.09634488821029663, 0.0412730947136879, -0.001982912654057145, -0.006074528209865093, 0.04094245284795761, 0.05610217899084091, 0.03156670182943344, -0.004680001176893711, -0.05106737092137337, 0.052557602524757385, 0.017378488555550575, 0.007082149386405945, 0.09971410036087036, 0.0006076201098039746, 0.013976985588669777, 0.03865022584795952, -0.019905034452676773, 0.0036989618092775345, -0.008641892112791538, 0.04494377598166466, -0.06362482905387878, -0.05663017928600311, -0.03297875449061394, -0.06060595437884331, -0.05947386845946312, -0.023067016154527664, 0.006778500974178314, -0.0724891722202301, 0.11637302488088608, 0.017970887944102287, 0.05860798433423042, 0.023378457874059677, 0.016078336164355278, -0.06641119718551636, -0.0012717635836452246, 0.05165897309780121, -0.04336327314376831, 0.0041200509294867516, 3.8959130089394755e-33, -0.07689015567302704, -0.004560851491987705, -0.06728091090917587, -0.014040738344192505, -0.03039984218776226, -0.018382372334599495, 0.021770263090729713, -0.005735186859965324, 0.01093979924917221, -0.0030395726207643747, -0.03791356086730957, 0.029930677264928818, 0.03017573431134224, 0.09596732258796692, 0.07302327454090118, -0.065369613468647, -0.061033107340335846, 0.05054695904254913, 0.19310446083545685, 0.06949346512556076, 0.03256881982088089, -0.023260748013854027, 0.06495027989149094, -0.03052559867501259, 0.14851132035255432, 0.11553168296813965, -0.060623615980148315, 0.02586417831480503, 0.07137648016214371, 0.005736674647778273, 0.08740625530481339, -0.04742284119129181, 0.00873189140111208, 0.03233283758163452, -0.002266544383019209, -0.031316593289375305, 0.005269521847367287, -0.053138889372348785, -0.011663773097097874, -0.039998479187488556, 0.03916914761066437, 0.03539452329277992, -0.028993744403123856, -0.02573445998132229, -0.059005241841077805, 0.002556469291448593, 0.02041706070303917, 0.061148982495069504, -0.002145391656085849, 0.06573047488927841, -0.035127971321344376, -0.012784172780811787, -0.05973859876394272, -0.0018545460188761353, -0.0186596866697073, -0.05332019180059433, -0.03358831629157066, -0.03697456791996956, 0.009558149613440037, 0.012799756601452827, -0.03511681780219078, -0.04490130394697189, 0.006361389998346567, -0.04574591666460037, 0.0000010794049103424186, 0.010898558422923088, 0.07628703117370605, -0.05522143840789795, -0.002061406848952174, 0.09489981830120087, -0.038331497460603714, 0.05435017868876457, 0.021670276299118996, -0.037435583770275116, -0.07978193461894989, 0.03830608353018761, -0.07506952434778214, 0.006068418268114328, -0.08327649533748627, 0.03152555599808693, -0.1036384180188179, -0.006743727717548609, -0.033444978296756744, 0.058196645230054855, 0.025167232379317284, 0.03908111900091171, -0.048650212585926056, 0.010138335637748241, -0.014317745342850685, -0.036346495151519775, 0.047724589705467224, 0.033718355000019073, 0.015470937825739384, 0.03599977865815163, 0.029899660497903824, -4.7274389782699454e-33, -0.02889438532292843, -0.03604039549827576, -0.0437711663544178, 0.05606921762228012, 0.012778140604496002, -0.020585907623171806, -0.05782186612486839, 0.061513472348451614, -0.031124409288167953, 0.05218332260847092, -0.046811092644929886, -0.03901337832212448, 0.03478182479739189, -0.041282132267951965, 0.004154099151492119, 0.008382835425436497, -0.056179229170084, -0.04263875260949135, -0.018531324341893196, 0.013482777401804924, -0.05350847542285919, 0.11610227078199387, 0.03959169611334801, -0.00009403455624124035, 0.04889478534460068, 0.0388527549803257, -0.07193347066640854, -0.03425496071577072, -0.0035624592565000057, -0.027970140799880028, 0.01739857904613018, -0.10290984809398651, 0.0007426576339639723, -0.016845693811774254, -0.0349053256213665, -0.03085707686841488, 0.052815526723861694, 0.06123986095190048, 0.05743009224534035, 0.010944470763206482, 0.14162638783454895, 0.03394945710897446, -0.0384141243994236, -0.03343872353434563, -0.03741877153515816, -0.06156373769044876, -0.06926208734512329, 0.08533558249473572, -0.04412958398461342, -0.08156761527061462, -0.009770963340997696, 0.004450176376849413, 0.054316792637109756, -0.028839705511927605, -0.0020113757345825434, 0.0929914116859436, 0.08771520853042603, 0.03694438561797142, 0.0030111586675047874, -0.021615708246827126, 0.03572899103164673, -0.09021160006523132, 0.09725745767354965, 0.06600137799978256, 0.002326326910406351, 0.03376224264502525, 0.0636165589094162, -0.01577373966574669, 0.0031279914546757936, -0.0002729489642661065, 0.033822253346443176, 0.041433390229940414, -0.015225830487906933, 0.02009451948106289, 0.076226145029068, 0.027834009379148483, -0.0684700533747673, -0.07450350373983383, 0.045407485216856, -0.05234929919242859, -0.06056831032037735, -0.0178198404610157, 0.006083138752728701, 0.04808887466788292, -0.05660074204206467, -0.09154320508241653, 0.030179806053638458, -0.06307480484247208, 0.017268093302845955, -0.07465259730815887, -0.10216447710990906, 0.07528898119926453, -0.04385441914200783, 0.06855448335409164, -0.055838048458099365, -5.214066334247036e-8, -0.010764163918793201, -0.014497602358460426, -0.07115667313337326, 0.08507014065980911, 0.009146664291620255, -0.022743327543139458, -0.02507607638835907, -0.03149385005235672, 0.021383382380008698, -0.0467306487262249, 0.033306073397397995, -0.0492190457880497, -0.044370971620082855, -0.037449490278959274, 0.11204952001571655, 0.01190761849284172, 0.08902870118618011, -0.029237989336252213, -0.0510987862944603, -0.05709865316748619, 0.04867921024560928, 0.01558906864374876, 0.01678803749382496, 0.055494703352451324, 0.07247130572795868, 0.03326822817325592, 0.0961737111210823, 0.04780443385243416, 0.05649673566222191, 0.009351137094199657, -0.022837163880467415, -0.0037283210549503565, 0.030217690393328667, 0.044791433960199356, 0.044652994722127914, 0.004424628335982561, 0.046873804181814194, -0.001190986018627882, 0.021038368344306946, 0.08803462982177734, -0.03304518759250641, -0.04183274134993553, -0.053317900747060776, -0.03578188642859459, 0.041389863938093185, -0.03818454220890999, -0.039750538766384125, -0.03126326575875282, -0.019062131643295288, 0.048507772386074066, -0.017702272161841393, -0.01882411167025566, -0.005914649460464716, 0.046850334852933884, -0.013079003430902958, -0.02833314798772335, 0.025489715859293938, -0.06265631318092346, 0.09663917869329453, 0.034786973148584366, 0.03126678243279457, 0.046421874314546585, 0.028240224346518517, -0.007694921921938658 ]
1402.0258
Sinem Unal
Sinem Unal, Aaron B. Wagner
A Rate-Distortion Approach to Index Coding
Substantially extended version. Submitted to IEEE Transactions on Information Theory
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We approach index coding as a special case of rate-distortion with multiple receivers, each with some side information about the source. Specifically, using techniques developed for the rate-distortion problem, we provide two upper bounds and one lower bound on the optimal index coding rate. The upper bounds involve specific choices of the auxiliary random variables in the best existing scheme for the rate-distortion problem. The lower bound is based on a new lower bound for the general rate-distortion problem. The bounds are shown to coincide for a number of (groupcast) index coding instances, including all instances for which the number of decoders does not exceed three.
[ { "created": "Sun, 2 Feb 2014 22:43:10 GMT", "version": "v1" }, { "created": "Mon, 27 Jul 2015 15:55:44 GMT", "version": "v2" } ]
2015-07-28
[ [ "Unal", "Sinem", "" ], [ "Wagner", "Aaron B.", "" ] ]
[ 0.01841682754456997, -0.048621952533721924, -0.026730410754680634, -0.007208520546555519, 0.06053636595606804, 0.0039868783205747604, 0.04496845602989197, -0.08744721859693527, 0.04403598606586456, -0.02430836111307144, -0.04018838703632355, 0.06771524250507355, 0.08773307502269745, -0.07695025950670242, -0.059045277535915375, -0.03226013854146004, -0.0012003447627648711, 0.07404975593090057, -0.01957741193473339, 0.01529226265847683, 0.08783820271492004, -0.02818477340042591, 0.019754227250814438, -0.033163540065288544, 0.06858835369348526, -0.10266683995723724, -0.018702156841754913, -0.00957297533750534, 0.01148497685790062, 0.012651819735765457, 0.014533894136548042, 0.018059339374303818, 0.05867980420589447, -0.0043904162012040615, -0.019976278766989708, -0.024941034615039825, -0.032020825892686844, -0.04719419777393341, -0.03489306941628456, 0.081527940928936, 0.01114097610116005, 0.12206514924764633, -0.022577529773116112, 0.0022483014035969973, -0.025448909029364586, 0.0012032792437821627, -0.0022643322590738535, 0.026809830218553543, -0.04547366499900818, -0.017388727515935898, 0.016095008701086044, 0.08061021566390991, 0.0015735623892396688, 0.024088798090815544, -0.0011654786067083478, -0.1461479812860489, -0.10617081075906754, 0.02590150013566017, -0.027726568281650543, 0.11925734579563141, 0.0632406622171402, 0.04365606606006622, 0.005082635674625635, -0.01927388273179531, 0.013793488964438438, -0.013379078358411789, 0.12668730318546295, 0.0640428215265274, -0.09191301465034485, 0.038405969738960266, -0.09894320368766785, -0.0528598353266716, -0.05796792730689049, 0.04473404958844185, 0.06301943212747574, -0.018485156819224358, 0.0025550213176757097, -0.0378444530069828, 0.01684703305363655, -0.002973543480038643, -0.033976878970861435, -0.04995446652173996, 0.052454810589551926, -0.034868571907281876, 0.002743619028478861, -0.10646343976259232, 0.048895131796598434, 0.020121367648243904, 0.02991754375398159, 0.05323369801044464, -0.13747811317443848, -0.05253678560256958, 0.040452200919389725, 0.08004996925592422, 0.03391845151782036, -0.015477501787245274, -0.021743016317486763, 0.019907554611563683, 0.04123470559716225, 0.025586972013115883, -0.026181593537330627, -0.06237868219614029, 0.026353411376476288, -0.02444842830300331, -0.027102956548333168, -0.01977655105292797, 0.027468442916870117, 0.10862774401903152, 0.0074697742238640785, 0.042663395404815674, 0.0105996523052454, 0.13121047616004944, -0.00708223320543766, -0.05920359492301941, 0.01887947879731655, 0.04371929168701172, 0.03041260316967964, 0.07933329045772552, -0.040744028985500336, -0.03317779675126076, -0.03128696605563164, -0.10280698537826538, 0.0043692453764379025, -0.02162899263203144, -0.004741554614156485, 0.03701968118548393, 0.04596058651804924, 7.669901356088763e-34, -0.00887039490044117, 0.053867824375629425, -0.05029013752937317, -0.04002271592617035, 0.02793736197054386, 0.07603316754102707, 0.02303609997034073, 0.040062785148620605, -0.016591310501098633, -0.007962602190673351, -0.013949563726782799, -0.016001246869564056, -0.009269585832953453, 0.011813442222774029, -0.010320661589503288, -0.019849974662065506, -0.06624762713909149, 0.09065373241901398, 0.04664537310600281, -0.018900632858276367, 0.011104690842330456, -0.027687929570674896, -0.004409972578287125, -0.0567505769431591, -0.033671796321868896, -0.017811676487326622, -0.0808534026145935, -0.09500962495803833, 0.040418416261672974, -0.004672480281442404, -0.026770779862999916, -0.008051344193518162, 0.060867659747600555, -0.07150044292211533, 0.023121891543269157, -0.01914488896727562, 0.024351367726922035, 0.043449319899082184, -0.10900773108005524, 0.0197330042719841, 0.05879589170217514, 0.022101251408457756, 0.005344205070286989, -0.0941896140575409, 0.01044875755906105, -0.03588404878973961, -0.010914251208305359, 0.006757449358701706, -0.084698885679245, -0.0413474515080452, 0.05889251455664635, 0.013421483337879181, -0.035884980112314224, 0.03827870637178421, 0.13444529473781586, -0.012268634513020515, 0.017222868278622627, -0.031108256429433823, 0.06107074022293091, 0.1359415501356125, -0.04012012854218483, 0.00883506704121828, 0.06410988420248032, -0.04242029786109924, 0.08793042600154877, 0.04894844442605972, 0.014005297794938087, -0.07312992215156555, 0.08521349728107452, 0.0014545370358973742, -0.019919365644454956, 0.020120227709412575, -0.03907930105924606, -0.025129199028015137, -0.040228866040706635, 0.04386996105313301, -0.005381027702242136, -0.023207424208521843, 0.029046665877103806, 0.006144778337329626, -0.0895189419388771, -0.0357784777879715, 0.03819821774959564, -0.029284855350852013, -0.06225433200597763, 0.07951348274946213, -0.0434986874461174, -0.022854987531900406, -0.08508056402206421, 0.045644599944353104, -0.0754590556025505, -0.041930779814720154, 0.0060465834103524685, -0.11127117276191711, 0.02660052664577961, -1.8891055634668122e-33, -0.05038377270102501, 0.0661575049161911, 0.01470598392188549, 0.04884758219122887, -0.019241392612457275, -0.15516462922096252, -0.03775198757648468, -0.028217243030667305, 0.004863767419010401, 0.010082869790494442, -0.07227673381567001, -0.08948949724435806, 0.018784843385219574, -0.0004357094003353268, 0.016933375969529152, 0.004903445020318031, 0.03725777566432953, 0.033215686678886414, 0.00211345381103456, 0.020897988229990005, 0.02308998815715313, 0.05355951935052872, 0.018023734912276268, 0.004662801977247, 0.02780044823884964, 0.012289616279304028, -0.010938414372503757, 0.11870046705007553, 0.06299090385437012, -0.08917126059532166, 0.032348472625017166, -0.06168171390891075, -0.003992942627519369, -0.011459964327514172, -0.002332128584384918, 0.009135263971984386, 0.004306572489440441, 0.07113086432218552, -0.020127814263105392, 0.07856220752000809, 0.059510547667741776, -0.0018864456797018647, 0.005581349600106478, 0.06880006939172745, 0.07292705774307251, -0.08577681332826614, -0.04580799490213394, 0.04673118144273758, 0.01966906525194645, -0.0380338616669178, -0.004733920097351074, -0.027895670384168625, -0.02086198888719082, 0.056592635810375214, -0.059895265847444534, -0.02887292206287384, -0.09239856898784637, 0.04537032172083855, 0.08253772556781769, 0.10461466014385223, 0.021583614870905876, 0.0008414059993810952, -0.024308281019330025, 0.019155627116560936, 0.041601330041885376, -0.06113757938146591, 0.03431252762675285, -0.03804495558142662, 0.002634368371218443, 0.04258687049150467, 0.07834931463003159, -0.06833688169717789, 0.011362705379724503, 0.0479804202914238, 0.007316921837627888, 0.07237153500318527, -0.0022648239973932505, 0.05256461352109909, -0.03390081971883774, 0.041189178824424744, -0.045962173491716385, 0.05307728424668312, 0.016682617366313934, 0.023330286145210266, -0.003134123980998993, 0.01117725856602192, 0.08992084860801697, 0.005530474241822958, -0.01283466350287199, -0.034101516008377075, 0.00025731814093887806, 0.046435821801424026, 0.02356048673391342, -0.0364186093211174, -0.009913253597915173, -4.0509664955834523e-8, -0.04365210235118866, -0.01933387853205204, -0.07737007737159729, -0.04251834750175476, 0.04581795260310173, -0.004950027912855148, -0.08372323960065842, -0.025183314457535744, -0.014349334873259068, -0.07645844668149948, 0.09859435260295868, 0.0008823248208500445, -0.02108742855489254, -0.004673970863223076, 0.03515292704105377, -0.04976709187030792, -0.14743314683437347, -0.02468283846974373, -0.0035757662262767553, 0.061385005712509155, -0.04807274043560028, 0.04360774904489517, 0.02324778214097023, -0.05110319331288338, -0.04976937174797058, 0.008536874316632748, 0.09975472837686539, -0.018449094146490097, 0.006398250814527273, 0.01527358777821064, 0.01562039740383625, 0.06727898865938187, 0.0678190365433693, 0.042697131633758545, -0.0015165964141488075, -0.0903533548116684, -0.08247421681880951, -0.032228022813797, -0.020991705358028412, -0.00126518658362329, 0.09755852073431015, -0.03751208260655403, 0.01708650216460228, -0.010137615725398064, 0.052373580634593964, 0.010538744740188122, 0.07108764350414276, -0.013713744468986988, -0.05442195013165474, -0.03347349911928177, 0.019691836088895798, -0.029040975496172905, -0.05893514305353165, 0.0024585893843322992, 0.08512841910123825, -0.05952012911438942, -0.00807203259319067, -0.05395151302218437, 0.03909274935722351, 0.0037085418589413166, -0.06940977275371552, 0.09476920962333679, -0.0771288052201271, -0.02767682448029518 ]
null
null
null
null
null
null
null
[ 0.01841682754456997, -0.048621952533721924, -0.026730410754680634, -0.007208520546555519, 0.06053636595606804, 0.0039868783205747604, 0.04496845602989197, -0.08744721859693527, 0.04403598606586456, -0.02430836111307144, -0.04018838703632355, 0.06771524250507355, 0.08773307502269745, -0.07695025950670242, -0.059045277535915375, -0.03226013854146004, -0.0012003447627648711, 0.07404975593090057, -0.01957741193473339, 0.01529226265847683, 0.08783820271492004, -0.02818477340042591, 0.019754227250814438, -0.033163540065288544, 0.06858835369348526, -0.10266683995723724, -0.018702156841754913, -0.00957297533750534, 0.01148497685790062, 0.012651819735765457, 0.014533894136548042, 0.018059339374303818, 0.05867980420589447, -0.0043904162012040615, -0.019976278766989708, -0.024941034615039825, -0.032020825892686844, -0.04719419777393341, -0.03489306941628456, 0.081527940928936, 0.01114097610116005, 0.12206514924764633, -0.022577529773116112, 0.0022483014035969973, -0.025448909029364586, 0.0012032792437821627, -0.0022643322590738535, 0.026809830218553543, -0.04547366499900818, -0.017388727515935898, 0.016095008701086044, 0.08061021566390991, 0.0015735623892396688, 0.024088798090815544, -0.0011654786067083478, -0.1461479812860489, -0.10617081075906754, 0.02590150013566017, -0.027726568281650543, 0.11925734579563141, 0.0632406622171402, 0.04365606606006622, 0.005082635674625635, -0.01927388273179531, 0.013793488964438438, -0.013379078358411789, 0.12668730318546295, 0.0640428215265274, -0.09191301465034485, 0.038405969738960266, -0.09894320368766785, -0.0528598353266716, -0.05796792730689049, 0.04473404958844185, 0.06301943212747574, -0.018485156819224358, 0.0025550213176757097, -0.0378444530069828, 0.01684703305363655, -0.002973543480038643, -0.033976878970861435, -0.04995446652173996, 0.052454810589551926, -0.034868571907281876, 0.002743619028478861, -0.10646343976259232, 0.048895131796598434, 0.020121367648243904, 0.02991754375398159, 0.05323369801044464, -0.13747811317443848, -0.05253678560256958, 0.040452200919389725, 0.08004996925592422, 0.03391845151782036, -0.015477501787245274, -0.021743016317486763, 0.019907554611563683, 0.04123470559716225, 0.025586972013115883, -0.026181593537330627, -0.06237868219614029, 0.026353411376476288, -0.02444842830300331, -0.027102956548333168, -0.01977655105292797, 0.027468442916870117, 0.10862774401903152, 0.0074697742238640785, 0.042663395404815674, 0.0105996523052454, 0.13121047616004944, -0.00708223320543766, -0.05920359492301941, 0.01887947879731655, 0.04371929168701172, 0.03041260316967964, 0.07933329045772552, -0.040744028985500336, -0.03317779675126076, -0.03128696605563164, -0.10280698537826538, 0.0043692453764379025, -0.02162899263203144, -0.004741554614156485, 0.03701968118548393, 0.04596058651804924, 7.669901356088763e-34, -0.00887039490044117, 0.053867824375629425, -0.05029013752937317, -0.04002271592617035, 0.02793736197054386, 0.07603316754102707, 0.02303609997034073, 0.040062785148620605, -0.016591310501098633, -0.007962602190673351, -0.013949563726782799, -0.016001246869564056, -0.009269585832953453, 0.011813442222774029, -0.010320661589503288, -0.019849974662065506, -0.06624762713909149, 0.09065373241901398, 0.04664537310600281, -0.018900632858276367, 0.011104690842330456, -0.027687929570674896, -0.004409972578287125, -0.0567505769431591, -0.033671796321868896, -0.017811676487326622, -0.0808534026145935, -0.09500962495803833, 0.040418416261672974, -0.004672480281442404, -0.026770779862999916, -0.008051344193518162, 0.060867659747600555, -0.07150044292211533, 0.023121891543269157, -0.01914488896727562, 0.024351367726922035, 0.043449319899082184, -0.10900773108005524, 0.0197330042719841, 0.05879589170217514, 0.022101251408457756, 0.005344205070286989, -0.0941896140575409, 0.01044875755906105, -0.03588404878973961, -0.010914251208305359, 0.006757449358701706, -0.084698885679245, -0.0413474515080452, 0.05889251455664635, 0.013421483337879181, -0.035884980112314224, 0.03827870637178421, 0.13444529473781586, -0.012268634513020515, 0.017222868278622627, -0.031108256429433823, 0.06107074022293091, 0.1359415501356125, -0.04012012854218483, 0.00883506704121828, 0.06410988420248032, -0.04242029786109924, 0.08793042600154877, 0.04894844442605972, 0.014005297794938087, -0.07312992215156555, 0.08521349728107452, 0.0014545370358973742, -0.019919365644454956, 0.020120227709412575, -0.03907930105924606, -0.025129199028015137, -0.040228866040706635, 0.04386996105313301, -0.005381027702242136, -0.023207424208521843, 0.029046665877103806, 0.006144778337329626, -0.0895189419388771, -0.0357784777879715, 0.03819821774959564, -0.029284855350852013, -0.06225433200597763, 0.07951348274946213, -0.0434986874461174, -0.022854987531900406, -0.08508056402206421, 0.045644599944353104, -0.0754590556025505, -0.041930779814720154, 0.0060465834103524685, -0.11127117276191711, 0.02660052664577961, -1.8891055634668122e-33, -0.05038377270102501, 0.0661575049161911, 0.01470598392188549, 0.04884758219122887, -0.019241392612457275, -0.15516462922096252, -0.03775198757648468, -0.028217243030667305, 0.004863767419010401, 0.010082869790494442, -0.07227673381567001, -0.08948949724435806, 0.018784843385219574, -0.0004357094003353268, 0.016933375969529152, 0.004903445020318031, 0.03725777566432953, 0.033215686678886414, 0.00211345381103456, 0.020897988229990005, 0.02308998815715313, 0.05355951935052872, 0.018023734912276268, 0.004662801977247, 0.02780044823884964, 0.012289616279304028, -0.010938414372503757, 0.11870046705007553, 0.06299090385437012, -0.08917126059532166, 0.032348472625017166, -0.06168171390891075, -0.003992942627519369, -0.011459964327514172, -0.002332128584384918, 0.009135263971984386, 0.004306572489440441, 0.07113086432218552, -0.020127814263105392, 0.07856220752000809, 0.059510547667741776, -0.0018864456797018647, 0.005581349600106478, 0.06880006939172745, 0.07292705774307251, -0.08577681332826614, -0.04580799490213394, 0.04673118144273758, 0.01966906525194645, -0.0380338616669178, -0.004733920097351074, -0.027895670384168625, -0.02086198888719082, 0.056592635810375214, -0.059895265847444534, -0.02887292206287384, -0.09239856898784637, 0.04537032172083855, 0.08253772556781769, 0.10461466014385223, 0.021583614870905876, 0.0008414059993810952, -0.024308281019330025, 0.019155627116560936, 0.041601330041885376, -0.06113757938146591, 0.03431252762675285, -0.03804495558142662, 0.002634368371218443, 0.04258687049150467, 0.07834931463003159, -0.06833688169717789, 0.011362705379724503, 0.0479804202914238, 0.007316921837627888, 0.07237153500318527, -0.0022648239973932505, 0.05256461352109909, -0.03390081971883774, 0.041189178824424744, -0.045962173491716385, 0.05307728424668312, 0.016682617366313934, 0.023330286145210266, -0.003134123980998993, 0.01117725856602192, 0.08992084860801697, 0.005530474241822958, -0.01283466350287199, -0.034101516008377075, 0.00025731814093887806, 0.046435821801424026, 0.02356048673391342, -0.0364186093211174, -0.009913253597915173, -4.0509664955834523e-8, -0.04365210235118866, -0.01933387853205204, -0.07737007737159729, -0.04251834750175476, 0.04581795260310173, -0.004950027912855148, -0.08372323960065842, -0.025183314457535744, -0.014349334873259068, -0.07645844668149948, 0.09859435260295868, 0.0008823248208500445, -0.02108742855489254, -0.004673970863223076, 0.03515292704105377, -0.04976709187030792, -0.14743314683437347, -0.02468283846974373, -0.0035757662262767553, 0.061385005712509155, -0.04807274043560028, 0.04360774904489517, 0.02324778214097023, -0.05110319331288338, -0.04976937174797058, 0.008536874316632748, 0.09975472837686539, -0.018449094146490097, 0.006398250814527273, 0.01527358777821064, 0.01562039740383625, 0.06727898865938187, 0.0678190365433693, 0.042697131633758545, -0.0015165964141488075, -0.0903533548116684, -0.08247421681880951, -0.032228022813797, -0.020991705358028412, -0.00126518658362329, 0.09755852073431015, -0.03751208260655403, 0.01708650216460228, -0.010137615725398064, 0.052373580634593964, 0.010538744740188122, 0.07108764350414276, -0.013713744468986988, -0.05442195013165474, -0.03347349911928177, 0.019691836088895798, -0.029040975496172905, -0.05893514305353165, 0.0024585893843322992, 0.08512841910123825, -0.05952012911438942, -0.00807203259319067, -0.05395151302218437, 0.03909274935722351, 0.0037085418589413166, -0.06940977275371552, 0.09476920962333679, -0.0771288052201271, -0.02767682448029518 ]
1402.0264
Ning Xie
Sardar Anisul Haque, Marc Moreno Maza and Ning Xie
A Many-core Machine Model for Designing Algorithms with Minimum Parallelism Overheads
null
null
null
null
cs.DC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a model of multithreaded computation, combining fork-join and single-instruction-multiple-data parallelisms, with an emphasis on estimating parallelism overheads of programs written for modern many-core architectures. We establish a Graham-Brent theorem for this model so as to estimate execution time of programs running on a given number of streaming multiprocessors. We evaluate the benefits of our model with four fundamental algorithms from scientific computing. In each case, our model is used to minimize parallelism overheads by determining an appropriate value range for a given program parameter; moreover experimentation confirms the model's prediction.
[ { "created": "Mon, 3 Feb 2014 00:22:59 GMT", "version": "v1" } ]
2014-02-04
[ [ "Haque", "Sardar Anisul", "" ], [ "Maza", "Marc Moreno", "" ], [ "Xie", "Ning", "" ] ]
[ 0.007450404576957226, -0.01466044969856739, -0.03034215234220028, -0.028259774670004845, 0.004755834583193064, -0.058703720569610596, -0.11206339299678802, 0.0595480240881443, 0.008650257252156734, 0.033022910356521606, -0.08278251439332962, -0.04688040167093277, 0.022011905908584595, -0.09271540492773056, -0.021217085421085358, -0.07651463150978088, -0.019738785922527313, -0.050896476954221725, -0.018410945311188698, -0.1512843668460846, -0.02721322514116764, -0.02657369337975979, -0.04934967681765556, -0.03109978698194027, 0.043848857283592224, 0.018352210521697998, -0.058260250836610794, -0.07406371086835861, -0.015781670808792114, 0.03494484722614288, 0.027205582708120346, -0.024435702711343765, 0.017452506348490715, 0.07705419510602951, -0.007599738426506519, 0.042805299162864685, 0.003571282373741269, -0.07764323055744171, -0.050860706716775894, 0.06526947021484375, 0.03080640733242035, 0.033222537487745285, -0.01758580096065998, -0.007885538972914219, -0.04064374417066574, 0.04298373684287071, -0.010617784224450588, -0.06393545120954514, -0.052096884697675705, 0.026432890444993973, -0.07016849517822266, -0.06786967068910599, -0.03548400476574898, 0.03186354413628578, -0.004433759953826666, -0.04601244255900383, 0.08242235332727432, -0.07286884635686874, -0.011333887465298176, 0.06075601652264595, -0.039125602692365646, -0.11128006130456924, -0.028216587379574776, 0.020878273993730545, 0.03697255253791809, 0.025164250284433365, 0.03535294160246849, -0.019285045564174652, 0.03268814831972122, -0.023976227268576622, -0.033830106258392334, 0.008214198052883148, -0.08949652314186096, -0.017272798344492912, -0.031750068068504333, -0.08211938291788101, 0.0327974334359169, 0.030279895290732384, -0.020581642165780067, -0.13891664147377014, 0.0028393305838108063, 0.031494900584220886, -0.06346768885850906, -0.04351118952035904, 0.03138086199760437, -0.003087678225710988, -0.02269868366420269, 0.0411628820002079, 0.0034019763115793467, 0.025044886395335197, -0.012781787663698196, 0.031223032623529434, 0.006163918413221836, 0.009742272086441517, -0.018173830583691597, 0.07115291804075241, 0.02741045132279396, -0.018667051568627357, -0.041339240968227386, 0.027401257306337357, -0.06138390675187111, 0.009413606487214565, 0.09258448332548141, -0.025354795157909393, 0.04700631648302078, -0.010722393169999123, 0.03737574815750122, 0.04090642184019089, -0.10893978923559189, -0.1321117877960205, 0.05413270741701126, 0.07940734922885895, 0.025033649057149887, 0.03088518977165222, 0.004018477164208889, -0.0180940181016922, 0.007135402876883745, -0.04050600156188011, 0.05505692586302757, 0.08933339267969131, -0.03587084636092186, -0.006080107297748327, 0.032844822853803635, 0.02567495033144951, -0.06308172643184662, -0.0043790931813418865, -0.12448098510503769, 3.1524940146229823e-34, 0.007723597344011068, 0.03458181396126747, 0.016540516167879105, -0.06944268196821213, -0.00035872310400009155, -0.025730935856699944, -0.005603929981589317, 0.03563378006219864, -0.0695432722568512, -0.00824486743658781, 0.034358613193035126, 0.034501656889915466, 0.007584210019558668, 0.05181746929883957, 0.009557832963764668, -0.01373469177633524, 0.025450516492128372, 0.046655185520648956, -0.015791423618793488, -0.024009885266423225, 0.055257055908441544, -0.043185457587242126, -0.08192753046751022, -0.00010865253716474399, 0.02976568043231964, -0.019517015665769577, -0.02818109467625618, -0.07802507281303406, 0.009572412818670273, 0.020023180171847343, -0.029604600742459297, 0.12343300879001617, -0.05215917155146599, 0.028865264728665352, 0.06630371510982513, -0.0457870215177536, 0.02890653908252716, -0.04176275059580803, 0.0447356253862381, 0.037045132368803024, -0.010458671487867832, -0.0023662096355110407, 0.035650499165058136, -0.08775205165147781, -0.08354528248310089, -0.02055947482585907, -0.053323134779930115, -0.01311330683529377, 0.01451469212770462, -0.037692517042160034, 0.12154585868120193, 0.036822520196437836, 0.06738780438899994, 0.04355623200535774, 0.049310892820358276, 0.029627440497279167, -0.046218521893024445, 0.06196318566799164, 0.0807790607213974, 0.18611319363117218, -0.0380675308406353, 0.019381793215870857, -0.012875606305897236, -0.003944318741559982, -0.0292789489030838, 0.04183944687247276, 0.003194534219801426, 0.07381507754325867, 0.05011904984712601, -0.006739535368978977, -0.07154495269060135, -0.010355764999985695, 0.061448391526937485, 0.0024518792051821947, 0.05442207679152489, 0.039946045726537704, -0.00562442559748888, -0.10933628678321838, -0.018047161400318146, 0.027568187564611435, -0.00010300752182956785, 0.08196685463190079, 0.03443434461951256, -0.05846196785569191, 0.06885962933301926, -0.056219033896923065, -0.018488803878426552, 0.011944514699280262, -0.05025896802544594, -0.04263754189014435, -0.06668949127197266, -0.008541683666408062, 0.030165426433086395, -0.030815226957201958, -0.0628167986869812, -3.181075057737272e-33, 0.008726730942726135, -0.06949926912784576, -0.033344563096761703, 0.12009494751691818, 0.06479230523109436, -0.051813289523124695, 0.01499950047582388, -0.08251103013753891, -0.07387709617614746, -0.05911378934979439, 0.010688701644539833, -0.04949510097503662, -0.031089620664715767, 0.0047872369177639484, 0.08298836648464203, 0.0027599905151873827, 0.026370350271463394, 0.0012637714389711618, 0.014990649186074734, 0.0019454305293038487, -0.010452100075781345, -0.061552487313747406, 0.027241971343755722, -0.08278829604387283, 0.012799816206097603, -0.054987262934446335, -0.05377008020877838, -0.023084130138158798, 0.050696052610874176, -0.015294184908270836, -0.03302217274904251, -0.007440525107085705, 0.010891064070165157, 0.025522787123918533, -0.009141208603978157, 0.06758999079465866, 0.022912731394171715, 0.057934533804655075, 0.017223063856363297, 0.00022889859974384308, 0.0724615827202797, -0.049706414341926575, -0.00446448614820838, -0.017271364107728004, 0.050267018377780914, 0.0927208662033081, -0.08872907608747482, 0.0103721022605896, -0.02435416728258133, 0.03153214603662491, 0.020582297816872597, 0.034533362835645676, 0.03283330798149109, 0.008994040079414845, 0.017271937802433968, -0.050648897886276245, 0.01355938520282507, 0.0055001568980515, 0.013147706165909767, -0.08199436217546463, 0.0135696642100811, -0.06728249788284302, 0.01967519335448742, 0.019375478848814964, 0.06758087873458862, 0.02037608064711094, 0.017740195617079735, -0.07474060356616974, -0.06571467965841293, 0.04611358046531677, 0.051340408623218536, -0.011838364414870739, -0.034072548151016235, -0.010349837131798267, -0.05565236508846283, 0.10810483992099762, 0.025234082713723183, -0.05537448450922966, -0.0732903927564621, 0.12019435316324234, -0.04561939835548401, 0.04769960790872574, 0.003526146523654461, -0.018892843276262283, -0.03597830981016159, -0.022418126463890076, 0.08931169658899307, -0.034352801740169525, -0.02124002017080784, -0.08532893657684326, -0.028455322608351707, 0.03076932765543461, 0.016383564099669456, -0.04122570902109146, -0.004605097230523825, -4.0837353054712366e-8, 0.16257557272911072, -0.03576166555285454, 0.01768563687801361, 0.022424837574362755, 0.07730826735496521, 0.048219721764326096, -0.032818324863910675, 0.005958198569715023, -0.04162732511758804, 0.017408723011612892, 0.06249852478504181, -0.05587013438344002, 0.052843332290649414, -0.018595801666378975, 0.06786851584911346, 0.049054015427827835, -0.025411365553736687, -0.06141868978738785, 0.016217196360230446, 0.023869317024946213, -0.05727421119809151, 0.06646650284528732, 0.03352893888950348, 0.03477435186505318, -0.0765991061925888, -0.0059635271318256855, 0.16844487190246582, 0.013509659096598625, 0.04702012613415718, -0.006889030337333679, 0.010067309252917767, 0.007455724757164717, -0.01567796990275383, -0.028938958421349525, 0.09267789125442505, -0.050755031406879425, -0.015845373272895813, 0.09899196028709412, 0.04947493597865105, 0.0025949226692318916, 0.007413946092128754, 0.03390403464436531, 0.008430291898548603, 0.07546750456094742, 0.1649840623140335, 0.030590606853365898, -0.04268459230661392, 0.0409831777215004, -0.034394145011901855, 0.01175492350012064, 0.015463541261851788, 0.07583215087652206, -0.025374263525009155, 0.04548710957169533, -0.0533742792904377, 0.06870588660240173, -0.033450108021497726, -0.09443678706884384, -0.0061679561622440815, -0.012796604074537754, -0.00007242444553412497, -0.0725490152835846, -0.0024449077900499105, -0.021390574052929878 ]
null
null
null
null
null
null
null
[ 0.007450404576957226, -0.01466044969856739, -0.03034215234220028, -0.028259774670004845, 0.004755834583193064, -0.058703720569610596, -0.11206339299678802, 0.0595480240881443, 0.008650257252156734, 0.033022910356521606, -0.08278251439332962, -0.04688040167093277, 0.022011905908584595, -0.09271540492773056, -0.021217085421085358, -0.07651463150978088, -0.019738785922527313, -0.050896476954221725, -0.018410945311188698, -0.1512843668460846, -0.02721322514116764, -0.02657369337975979, -0.04934967681765556, -0.03109978698194027, 0.043848857283592224, 0.018352210521697998, -0.058260250836610794, -0.07406371086835861, -0.015781670808792114, 0.03494484722614288, 0.027205582708120346, -0.024435702711343765, 0.017452506348490715, 0.07705419510602951, -0.007599738426506519, 0.042805299162864685, 0.003571282373741269, -0.07764323055744171, -0.050860706716775894, 0.06526947021484375, 0.03080640733242035, 0.033222537487745285, -0.01758580096065998, -0.007885538972914219, -0.04064374417066574, 0.04298373684287071, -0.010617784224450588, -0.06393545120954514, -0.052096884697675705, 0.026432890444993973, -0.07016849517822266, -0.06786967068910599, -0.03548400476574898, 0.03186354413628578, -0.004433759953826666, -0.04601244255900383, 0.08242235332727432, -0.07286884635686874, -0.011333887465298176, 0.06075601652264595, -0.039125602692365646, -0.11128006130456924, -0.028216587379574776, 0.020878273993730545, 0.03697255253791809, 0.025164250284433365, 0.03535294160246849, -0.019285045564174652, 0.03268814831972122, -0.023976227268576622, -0.033830106258392334, 0.008214198052883148, -0.08949652314186096, -0.017272798344492912, -0.031750068068504333, -0.08211938291788101, 0.0327974334359169, 0.030279895290732384, -0.020581642165780067, -0.13891664147377014, 0.0028393305838108063, 0.031494900584220886, -0.06346768885850906, -0.04351118952035904, 0.03138086199760437, -0.003087678225710988, -0.02269868366420269, 0.0411628820002079, 0.0034019763115793467, 0.025044886395335197, -0.012781787663698196, 0.031223032623529434, 0.006163918413221836, 0.009742272086441517, -0.018173830583691597, 0.07115291804075241, 0.02741045132279396, -0.018667051568627357, -0.041339240968227386, 0.027401257306337357, -0.06138390675187111, 0.009413606487214565, 0.09258448332548141, -0.025354795157909393, 0.04700631648302078, -0.010722393169999123, 0.03737574815750122, 0.04090642184019089, -0.10893978923559189, -0.1321117877960205, 0.05413270741701126, 0.07940734922885895, 0.025033649057149887, 0.03088518977165222, 0.004018477164208889, -0.0180940181016922, 0.007135402876883745, -0.04050600156188011, 0.05505692586302757, 0.08933339267969131, -0.03587084636092186, -0.006080107297748327, 0.032844822853803635, 0.02567495033144951, -0.06308172643184662, -0.0043790931813418865, -0.12448098510503769, 3.1524940146229823e-34, 0.007723597344011068, 0.03458181396126747, 0.016540516167879105, -0.06944268196821213, -0.00035872310400009155, -0.025730935856699944, -0.005603929981589317, 0.03563378006219864, -0.0695432722568512, -0.00824486743658781, 0.034358613193035126, 0.034501656889915466, 0.007584210019558668, 0.05181746929883957, 0.009557832963764668, -0.01373469177633524, 0.025450516492128372, 0.046655185520648956, -0.015791423618793488, -0.024009885266423225, 0.055257055908441544, -0.043185457587242126, -0.08192753046751022, -0.00010865253716474399, 0.02976568043231964, -0.019517015665769577, -0.02818109467625618, -0.07802507281303406, 0.009572412818670273, 0.020023180171847343, -0.029604600742459297, 0.12343300879001617, -0.05215917155146599, 0.028865264728665352, 0.06630371510982513, -0.0457870215177536, 0.02890653908252716, -0.04176275059580803, 0.0447356253862381, 0.037045132368803024, -0.010458671487867832, -0.0023662096355110407, 0.035650499165058136, -0.08775205165147781, -0.08354528248310089, -0.02055947482585907, -0.053323134779930115, -0.01311330683529377, 0.01451469212770462, -0.037692517042160034, 0.12154585868120193, 0.036822520196437836, 0.06738780438899994, 0.04355623200535774, 0.049310892820358276, 0.029627440497279167, -0.046218521893024445, 0.06196318566799164, 0.0807790607213974, 0.18611319363117218, -0.0380675308406353, 0.019381793215870857, -0.012875606305897236, -0.003944318741559982, -0.0292789489030838, 0.04183944687247276, 0.003194534219801426, 0.07381507754325867, 0.05011904984712601, -0.006739535368978977, -0.07154495269060135, -0.010355764999985695, 0.061448391526937485, 0.0024518792051821947, 0.05442207679152489, 0.039946045726537704, -0.00562442559748888, -0.10933628678321838, -0.018047161400318146, 0.027568187564611435, -0.00010300752182956785, 0.08196685463190079, 0.03443434461951256, -0.05846196785569191, 0.06885962933301926, -0.056219033896923065, -0.018488803878426552, 0.011944514699280262, -0.05025896802544594, -0.04263754189014435, -0.06668949127197266, -0.008541683666408062, 0.030165426433086395, -0.030815226957201958, -0.0628167986869812, -3.181075057737272e-33, 0.008726730942726135, -0.06949926912784576, -0.033344563096761703, 0.12009494751691818, 0.06479230523109436, -0.051813289523124695, 0.01499950047582388, -0.08251103013753891, -0.07387709617614746, -0.05911378934979439, 0.010688701644539833, -0.04949510097503662, -0.031089620664715767, 0.0047872369177639484, 0.08298836648464203, 0.0027599905151873827, 0.026370350271463394, 0.0012637714389711618, 0.014990649186074734, 0.0019454305293038487, -0.010452100075781345, -0.061552487313747406, 0.027241971343755722, -0.08278829604387283, 0.012799816206097603, -0.054987262934446335, -0.05377008020877838, -0.023084130138158798, 0.050696052610874176, -0.015294184908270836, -0.03302217274904251, -0.007440525107085705, 0.010891064070165157, 0.025522787123918533, -0.009141208603978157, 0.06758999079465866, 0.022912731394171715, 0.057934533804655075, 0.017223063856363297, 0.00022889859974384308, 0.0724615827202797, -0.049706414341926575, -0.00446448614820838, -0.017271364107728004, 0.050267018377780914, 0.0927208662033081, -0.08872907608747482, 0.0103721022605896, -0.02435416728258133, 0.03153214603662491, 0.020582297816872597, 0.034533362835645676, 0.03283330798149109, 0.008994040079414845, 0.017271937802433968, -0.050648897886276245, 0.01355938520282507, 0.0055001568980515, 0.013147706165909767, -0.08199436217546463, 0.0135696642100811, -0.06728249788284302, 0.01967519335448742, 0.019375478848814964, 0.06758087873458862, 0.02037608064711094, 0.017740195617079735, -0.07474060356616974, -0.06571467965841293, 0.04611358046531677, 0.051340408623218536, -0.011838364414870739, -0.034072548151016235, -0.010349837131798267, -0.05565236508846283, 0.10810483992099762, 0.025234082713723183, -0.05537448450922966, -0.0732903927564621, 0.12019435316324234, -0.04561939835548401, 0.04769960790872574, 0.003526146523654461, -0.018892843276262283, -0.03597830981016159, -0.022418126463890076, 0.08931169658899307, -0.034352801740169525, -0.02124002017080784, -0.08532893657684326, -0.028455322608351707, 0.03076932765543461, 0.016383564099669456, -0.04122570902109146, -0.004605097230523825, -4.0837353054712366e-8, 0.16257557272911072, -0.03576166555285454, 0.01768563687801361, 0.022424837574362755, 0.07730826735496521, 0.048219721764326096, -0.032818324863910675, 0.005958198569715023, -0.04162732511758804, 0.017408723011612892, 0.06249852478504181, -0.05587013438344002, 0.052843332290649414, -0.018595801666378975, 0.06786851584911346, 0.049054015427827835, -0.025411365553736687, -0.06141868978738785, 0.016217196360230446, 0.023869317024946213, -0.05727421119809151, 0.06646650284528732, 0.03352893888950348, 0.03477435186505318, -0.0765991061925888, -0.0059635271318256855, 0.16844487190246582, 0.013509659096598625, 0.04702012613415718, -0.006889030337333679, 0.010067309252917767, 0.007455724757164717, -0.01567796990275383, -0.028938958421349525, 0.09267789125442505, -0.050755031406879425, -0.015845373272895813, 0.09899196028709412, 0.04947493597865105, 0.0025949226692318916, 0.007413946092128754, 0.03390403464436531, 0.008430291898548603, 0.07546750456094742, 0.1649840623140335, 0.030590606853365898, -0.04268459230661392, 0.0409831777215004, -0.034394145011901855, 0.01175492350012064, 0.015463541261851788, 0.07583215087652206, -0.025374263525009155, 0.04548710957169533, -0.0533742792904377, 0.06870588660240173, -0.033450108021497726, -0.09443678706884384, -0.0061679561622440815, -0.012796604074537754, -0.00007242444553412497, -0.0725490152835846, -0.0024449077900499105, -0.021390574052929878 ]
1402.0273
Siti Nurul Mahfuzah Mohamad
Sazilah Salam, Siti Nurul Mahfuzah Mohamad, Norasiken Bakar, Linda Khoo Mei Sui
The Designing of Online Multiple Intelligence Tools for Lecturers at Polytechnic
7 pages, 4 figures, 1 table, International Journal of Soft Computing and Software Engineering [JSCSE], Vol. 3, No. 3
null
null
null
cs.CY cs.HC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper addresses the designing of Online Multiple Intelligence (MI) Teaching Tools for Polytechnic lecturers. These teaching tools can assist lecturers to create their own teaching materials without having any knowledge of Information Technology (IT) especially in programming. The theory of MI is used in this paper and this theory postulates that everybody has at least two or more intelligences. Multiple approaches embedded into a series of activities via online teaching tools must be implemented in order to achieve effective teaching and learning in the classroom. The objectives of this paper are to identify the relationship between the students self-perceived MI and their academic achievement in Polytechnic, and design online MI tools for teaching at Polytechnic. This paper also addressed the theoretical framework and MI teaching activities. The instrument used for this study was Ujian Multiple Intelligence (UMI). The results showed Polytechnic students have strength in Interpersonal, Visual-Spatial and Verbal-Linguistic intelligences.
[ { "created": "Mon, 3 Feb 2014 03:13:49 GMT", "version": "v1" } ]
2014-02-04
[ [ "Salam", "Sazilah", "" ], [ "Mohamad", "Siti Nurul Mahfuzah", "" ], [ "Bakar", "Norasiken", "" ], [ "Sui", "Linda Khoo Mei", "" ] ]
[ -0.006236444693058729, -0.03665541857481003, -0.006365176755934954, -0.012820437550544739, -0.10165119916200638, -0.03639618679881096, 0.07559581100940704, 0.06849541515111923, 0.015935419127345085, 0.028143513947725296, 0.051136672496795654, 0.032917119562625885, 0.0770060271024704, -0.05420101433992386, -0.010810480453073978, -0.006324401590973139, -0.07784470170736313, -0.03026389516890049, -0.032487135380506516, -0.12077527493238449, 0.037268899381160736, -0.003069545840844512, 0.030595269054174423, -0.018002143129706383, -0.01879204250872135, 0.0582037977874279, -0.021990258246660233, -0.037205517292022705, 0.05756005644798279, -0.029719170182943344, 0.022519955411553383, -0.02320980839431286, 0.04153047874569893, -0.009260797873139381, -0.033464789390563965, 0.03527495637536049, 0.03167903795838356, 0.09802935272455215, 0.009342263452708721, -0.0015266198897734284, -0.12125945836305618, -0.04932305961847305, 0.03803037106990814, -0.009801788255572319, 0.02730327844619751, -0.0952356606721878, -0.13083413243293762, -0.07293148338794708, 0.033286917954683304, 0.02217978425323963, -0.13211467862129211, -0.052443183958530426, -0.028613470494747162, 0.003979018423706293, 0.015221893787384033, 0.02225448749959469, -0.02257860079407692, 0.03724482282996178, -0.0020412635058164597, 0.006293158046901226, 0.054752055555582047, -0.006521471776068211, 0.11319974809885025, 0.011930395849049091, 0.05790194123983383, 0.09802095592021942, -0.08605245500802994, 0.01537338923662901, 0.007365231867879629, -0.02917729876935482, 0.003945492673665285, -0.014580070972442627, -0.04522359371185303, 0.03931055963039398, 0.023412128910422325, -0.024156002327799797, -0.012194311246275902, -0.03278469666838646, 0.02381160482764244, 0.06235074624419212, -0.013894273899495602, 0.07410189509391785, -0.0027642534114420414, -0.050245679914951324, -0.008437175303697586, -0.04935014247894287, -0.06246205046772957, -0.007821711711585522, 0.06909754872322083, -0.02298169583082199, 0.06730640679597855, -0.009163009002804756, -0.030953900888562202, 0.024158461019396782, 0.06102539971470833, -0.07318368554115295, 0.021901611238718033, -0.027945835143327713, 0.0374530665576458, 0.025365112349390984, -0.023485716432332993, 0.02501923218369484, -0.020035384222865105, -0.005749234929680824, -0.026011163368821144, 0.027887560427188873, 0.0547906756401062, -0.05815794691443443, 0.04462950676679611, -0.024306830018758774, -0.06372379511594772, -0.06741555780172348, -0.051306627690792084, -0.005583363119512796, -0.022146442905068398, 0.04919430986046791, 0.03248061239719391, 0.14255984127521515, 0.048436492681503296, 0.02292291447520256, 0.028150932863354683, -0.011089413426816463, 0.06819166988134384, -0.01952357217669487, 0.0609213262796402, -0.06507457047700882, -0.03205326199531555, 1.3679427043545623e-33, 0.000494577398058027, 0.019295690581202507, -0.023699460551142693, 0.04949266090989113, -0.025656018406152725, -0.06497908383607864, 0.06321113556623459, 0.0410432294011116, -0.04489414766430855, -0.03485892713069916, 0.051667068153619766, 0.03810860589146614, -0.01769999973475933, 0.09489402174949646, 0.01477670855820179, -0.005175648257136345, -0.03385673090815544, -0.00826012622565031, 0.04867568612098694, -0.027040058746933937, 0.0534382164478302, -0.026749368757009506, 0.023337440565228462, -0.03196249157190323, 0.004842039663344622, 0.08210417628288269, 0.08696664869785309, 0.025373728945851326, -0.018980013206601143, -0.0034764865413308144, 0.013049734756350517, -0.021079983562231064, -0.05781092494726181, 0.04024623706936836, 0.03740425780415535, -0.03359445556998253, -0.0355573445558548, -0.012273991480469704, 0.07129944860935211, 0.08821797370910645, -0.012803098186850548, -0.012744054198265076, 0.05960749834775925, -0.02590075694024563, 0.02583126910030842, 0.02103952318429947, -0.00415302999317646, -0.0014413963072001934, 0.03159308806061745, -0.020435120910406113, -0.11497154086828232, 0.025914546102285385, 0.02427535690367222, -0.007669379469007254, 0.001165674184449017, 0.010629672557115555, -0.093160480260849, 0.06220658868551254, -0.015322297811508179, -0.02733725868165493, -0.04376045987010002, 0.03168969973921776, -0.04694288596510887, 0.04094872623682022, 0.0561981163918972, -0.0640033408999443, -0.012051049619913101, 0.05340675264596939, 0.09997766464948654, -0.00445182528346777, 0.007104726042598486, -0.08357252180576324, -0.020817434415221214, -0.08899159729480743, -0.07275590300559998, -0.08891120553016663, -0.00982552021741867, -0.015279540792107582, 0.022307556122541428, 0.017430318519473076, -0.003771306946873665, -0.0074174595065414906, -0.0036171197425574064, -0.09835761040449142, -0.0053016748279333115, 0.015446065925061703, 0.033448461443185806, -0.0034409223590046167, 0.08926849812269211, 0.05381074547767639, 0.03288436681032181, 0.000013176794709579553, -0.06823946535587311, -0.03689442202448845, -0.02437310665845871, -2.2563325700575873e-33, -0.00561585184186697, 0.03415527567267418, -0.0767783597111702, 0.04044201970100403, 0.03835754096508026, 0.0820668563246727, 0.11960667371749878, 0.03372752293944359, -0.08069871366024017, -0.028791122138500214, 0.006821668706834316, -0.0127843227237463, -0.11255458742380142, -0.02070596069097519, 0.03181988745927811, 0.05244415998458862, 0.002124132588505745, -0.047554172575473785, -0.029715385288000107, 0.016127606853842735, -0.009254422038793564, -0.03554295003414154, -0.03437810391187668, 0.0052927415817976, -0.03226405009627342, -0.013856975361704826, -0.03469492495059967, -0.05097318813204765, -0.08879828453063965, 0.08177787810564041, 0.10096020251512527, -0.10046470910310745, 0.02122260071337223, 0.07158776372671127, 0.004872934892773628, -0.017530765384435654, 0.009499350562691689, -0.005872282665222883, -0.04923143610358238, 0.039795394986867905, 0.0122822355479002, -0.05052091181278229, 0.038792237639427185, -0.07455860823392868, -0.019804317504167557, 0.09254980832338333, -0.0298486165702343, 0.010817804373800755, -0.04701678827404976, 0.01393116358667612, 0.0466960184276104, 0.00769859179854393, -0.09517073631286621, -0.07520098984241486, 0.011469639837741852, -0.03955483436584473, 0.11558032780885696, -0.05808369442820549, -0.052610013633966446, 0.043023012578487396, 0.08999354392290115, -0.06734622269868851, 0.11517607420682907, 0.00038414006121456623, 0.021114997565746307, -0.057641685009002686, -0.02137296088039875, 0.06181386858224869, -0.09685158729553223, 0.0025391350500285625, 0.01840035617351532, -0.018453162163496017, 0.03736136108636856, -0.11429044604301453, -0.028568899258971214, 0.05022319778800011, -0.0870753675699234, 0.026492413133382797, -0.10536962747573853, 0.004139809403568506, 0.005066501442342997, -0.06990471482276917, 0.04259100183844566, 0.0249309204518795, -0.03169701248407364, -0.006265567149966955, 0.05788862705230713, 0.13548041880130768, 0.003537174314260483, -0.04987074434757233, -0.0038869588170200586, 0.08894627541303635, -0.018863363191485405, -0.007259647361934185, -0.0313514843583107, -4.2008498013501594e-8, 0.025518042966723442, -0.08896473795175552, 0.027993710711598396, 0.035108283162117004, -0.030173934996128082, 0.0647209957242012, -0.016524692997336388, 0.006577773485332727, -0.06182088330388069, 0.012353549711406231, 0.035251177847385406, -0.047201212495565414, -0.030874930322170258, -0.0060701435431838036, 0.1392223834991455, -0.05728837102651596, -0.02728036418557167, -0.013740543276071548, 0.02935367077589035, -0.05867757648229599, 0.09981830418109894, -0.03590815141797066, -0.11429201066493988, -0.008106197230517864, -0.04052048921585083, 0.07454772293567657, 0.07043388485908508, 0.0627250000834465, -0.02582475356757641, 0.022776756435632706, -0.0022855098359286785, -0.027745898813009262, 0.05063962936401367, -0.022869642823934555, 0.06474205106496811, -0.059550926089286804, 0.03418396785855293, 0.005175976548343897, -0.0000735705325496383, 0.034193675965070724, -0.042689356952905655, 0.0352030023932457, 0.00910496897995472, 0.02844085730612278, 0.12357063591480255, 0.06730571389198303, -0.1257193684577942, -0.060905925929546356, -0.012147936969995499, 0.05607161670923233, -0.05366311967372894, -0.0395883210003376, 0.0008095133234746754, 0.08564605563879013, 0.08304674178361893, -0.011598997749388218, -0.0018063089810311794, 0.03771953657269478, -0.04900088533759117, 0.07344667613506317, 0.008995466865599155, 0.05240214243531227, 0.001558325719088316, -0.011487267911434174 ]
null
null
null
null
null
null
null
[ -0.006236444693058729, -0.03665541857481003, -0.006365176755934954, -0.012820437550544739, -0.10165119916200638, -0.03639618679881096, 0.07559581100940704, 0.06849541515111923, 0.015935419127345085, 0.028143513947725296, 0.051136672496795654, 0.032917119562625885, 0.0770060271024704, -0.05420101433992386, -0.010810480453073978, -0.006324401590973139, -0.07784470170736313, -0.03026389516890049, -0.032487135380506516, -0.12077527493238449, 0.037268899381160736, -0.003069545840844512, 0.030595269054174423, -0.018002143129706383, -0.01879204250872135, 0.0582037977874279, -0.021990258246660233, -0.037205517292022705, 0.05756005644798279, -0.029719170182943344, 0.022519955411553383, -0.02320980839431286, 0.04153047874569893, -0.009260797873139381, -0.033464789390563965, 0.03527495637536049, 0.03167903795838356, 0.09802935272455215, 0.009342263452708721, -0.0015266198897734284, -0.12125945836305618, -0.04932305961847305, 0.03803037106990814, -0.009801788255572319, 0.02730327844619751, -0.0952356606721878, -0.13083413243293762, -0.07293148338794708, 0.033286917954683304, 0.02217978425323963, -0.13211467862129211, -0.052443183958530426, -0.028613470494747162, 0.003979018423706293, 0.015221893787384033, 0.02225448749959469, -0.02257860079407692, 0.03724482282996178, -0.0020412635058164597, 0.006293158046901226, 0.054752055555582047, -0.006521471776068211, 0.11319974809885025, 0.011930395849049091, 0.05790194123983383, 0.09802095592021942, -0.08605245500802994, 0.01537338923662901, 0.007365231867879629, -0.02917729876935482, 0.003945492673665285, -0.014580070972442627, -0.04522359371185303, 0.03931055963039398, 0.023412128910422325, -0.024156002327799797, -0.012194311246275902, -0.03278469666838646, 0.02381160482764244, 0.06235074624419212, -0.013894273899495602, 0.07410189509391785, -0.0027642534114420414, -0.050245679914951324, -0.008437175303697586, -0.04935014247894287, -0.06246205046772957, -0.007821711711585522, 0.06909754872322083, -0.02298169583082199, 0.06730640679597855, -0.009163009002804756, -0.030953900888562202, 0.024158461019396782, 0.06102539971470833, -0.07318368554115295, 0.021901611238718033, -0.027945835143327713, 0.0374530665576458, 0.025365112349390984, -0.023485716432332993, 0.02501923218369484, -0.020035384222865105, -0.005749234929680824, -0.026011163368821144, 0.027887560427188873, 0.0547906756401062, -0.05815794691443443, 0.04462950676679611, -0.024306830018758774, -0.06372379511594772, -0.06741555780172348, -0.051306627690792084, -0.005583363119512796, -0.022146442905068398, 0.04919430986046791, 0.03248061239719391, 0.14255984127521515, 0.048436492681503296, 0.02292291447520256, 0.028150932863354683, -0.011089413426816463, 0.06819166988134384, -0.01952357217669487, 0.0609213262796402, -0.06507457047700882, -0.03205326199531555, 1.3679427043545623e-33, 0.000494577398058027, 0.019295690581202507, -0.023699460551142693, 0.04949266090989113, -0.025656018406152725, -0.06497908383607864, 0.06321113556623459, 0.0410432294011116, -0.04489414766430855, -0.03485892713069916, 0.051667068153619766, 0.03810860589146614, -0.01769999973475933, 0.09489402174949646, 0.01477670855820179, -0.005175648257136345, -0.03385673090815544, -0.00826012622565031, 0.04867568612098694, -0.027040058746933937, 0.0534382164478302, -0.026749368757009506, 0.023337440565228462, -0.03196249157190323, 0.004842039663344622, 0.08210417628288269, 0.08696664869785309, 0.025373728945851326, -0.018980013206601143, -0.0034764865413308144, 0.013049734756350517, -0.021079983562231064, -0.05781092494726181, 0.04024623706936836, 0.03740425780415535, -0.03359445556998253, -0.0355573445558548, -0.012273991480469704, 0.07129944860935211, 0.08821797370910645, -0.012803098186850548, -0.012744054198265076, 0.05960749834775925, -0.02590075694024563, 0.02583126910030842, 0.02103952318429947, -0.00415302999317646, -0.0014413963072001934, 0.03159308806061745, -0.020435120910406113, -0.11497154086828232, 0.025914546102285385, 0.02427535690367222, -0.007669379469007254, 0.001165674184449017, 0.010629672557115555, -0.093160480260849, 0.06220658868551254, -0.015322297811508179, -0.02733725868165493, -0.04376045987010002, 0.03168969973921776, -0.04694288596510887, 0.04094872623682022, 0.0561981163918972, -0.0640033408999443, -0.012051049619913101, 0.05340675264596939, 0.09997766464948654, -0.00445182528346777, 0.007104726042598486, -0.08357252180576324, -0.020817434415221214, -0.08899159729480743, -0.07275590300559998, -0.08891120553016663, -0.00982552021741867, -0.015279540792107582, 0.022307556122541428, 0.017430318519473076, -0.003771306946873665, -0.0074174595065414906, -0.0036171197425574064, -0.09835761040449142, -0.0053016748279333115, 0.015446065925061703, 0.033448461443185806, -0.0034409223590046167, 0.08926849812269211, 0.05381074547767639, 0.03288436681032181, 0.000013176794709579553, -0.06823946535587311, -0.03689442202448845, -0.02437310665845871, -2.2563325700575873e-33, -0.00561585184186697, 0.03415527567267418, -0.0767783597111702, 0.04044201970100403, 0.03835754096508026, 0.0820668563246727, 0.11960667371749878, 0.03372752293944359, -0.08069871366024017, -0.028791122138500214, 0.006821668706834316, -0.0127843227237463, -0.11255458742380142, -0.02070596069097519, 0.03181988745927811, 0.05244415998458862, 0.002124132588505745, -0.047554172575473785, -0.029715385288000107, 0.016127606853842735, -0.009254422038793564, -0.03554295003414154, -0.03437810391187668, 0.0052927415817976, -0.03226405009627342, -0.013856975361704826, -0.03469492495059967, -0.05097318813204765, -0.08879828453063965, 0.08177787810564041, 0.10096020251512527, -0.10046470910310745, 0.02122260071337223, 0.07158776372671127, 0.004872934892773628, -0.017530765384435654, 0.009499350562691689, -0.005872282665222883, -0.04923143610358238, 0.039795394986867905, 0.0122822355479002, -0.05052091181278229, 0.038792237639427185, -0.07455860823392868, -0.019804317504167557, 0.09254980832338333, -0.0298486165702343, 0.010817804373800755, -0.04701678827404976, 0.01393116358667612, 0.0466960184276104, 0.00769859179854393, -0.09517073631286621, -0.07520098984241486, 0.011469639837741852, -0.03955483436584473, 0.11558032780885696, -0.05808369442820549, -0.052610013633966446, 0.043023012578487396, 0.08999354392290115, -0.06734622269868851, 0.11517607420682907, 0.00038414006121456623, 0.021114997565746307, -0.057641685009002686, -0.02137296088039875, 0.06181386858224869, -0.09685158729553223, 0.0025391350500285625, 0.01840035617351532, -0.018453162163496017, 0.03736136108636856, -0.11429044604301453, -0.028568899258971214, 0.05022319778800011, -0.0870753675699234, 0.026492413133382797, -0.10536962747573853, 0.004139809403568506, 0.005066501442342997, -0.06990471482276917, 0.04259100183844566, 0.0249309204518795, -0.03169701248407364, -0.006265567149966955, 0.05788862705230713, 0.13548041880130768, 0.003537174314260483, -0.04987074434757233, -0.0038869588170200586, 0.08894627541303635, -0.018863363191485405, -0.007259647361934185, -0.0313514843583107, -4.2008498013501594e-8, 0.025518042966723442, -0.08896473795175552, 0.027993710711598396, 0.035108283162117004, -0.030173934996128082, 0.0647209957242012, -0.016524692997336388, 0.006577773485332727, -0.06182088330388069, 0.012353549711406231, 0.035251177847385406, -0.047201212495565414, -0.030874930322170258, -0.0060701435431838036, 0.1392223834991455, -0.05728837102651596, -0.02728036418557167, -0.013740543276071548, 0.02935367077589035, -0.05867757648229599, 0.09981830418109894, -0.03590815141797066, -0.11429201066493988, -0.008106197230517864, -0.04052048921585083, 0.07454772293567657, 0.07043388485908508, 0.0627250000834465, -0.02582475356757641, 0.022776756435632706, -0.0022855098359286785, -0.027745898813009262, 0.05063962936401367, -0.022869642823934555, 0.06474205106496811, -0.059550926089286804, 0.03418396785855293, 0.005175976548343897, -0.0000735705325496383, 0.034193675965070724, -0.042689356952905655, 0.0352030023932457, 0.00910496897995472, 0.02844085730612278, 0.12357063591480255, 0.06730571389198303, -0.1257193684577942, -0.060905925929546356, -0.012147936969995499, 0.05607161670923233, -0.05366311967372894, -0.0395883210003376, 0.0008095133234746754, 0.08564605563879013, 0.08304674178361893, -0.011598997749388218, -0.0018063089810311794, 0.03771953657269478, -0.04900088533759117, 0.07344667613506317, 0.008995466865599155, 0.05240214243531227, 0.001558325719088316, -0.011487267911434174 ]
1402.0279
Emmanuel Bossy
Thomas Chaigne, Jerome Gateau, Ori Katz, Emmanuel Bossy and Sylvain Gigan
Light Focusing and Two-Dimensional Imaging Through Scattering Media using the Photoacoustic Transmission-Matrix with an Ultrasound Array
null
Optics Letters Vol. 39, Issue 9, pp. 2664-2667 (2014)
10.1364/OL.39.002664
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We implement the photoacoustic transmission-matrix approach on a two-dimensional photoacoustic imaging system, using a 15 MHz linear ultrasound array. Using a black leaf skeleton as a complex absorbing structure, we demonstrate that the photoacoustic transmission-matrix approach allows to reveal structural features that are invisible in conventional photoacoustic images, as well as to selectively control light focusing on absorbing targets, leading to a local enhancement of the photoacoustic signal.
[ { "created": "Mon, 3 Feb 2014 04:23:58 GMT", "version": "v1" } ]
2017-11-15
[ [ "Chaigne", "Thomas", "" ], [ "Gateau", "Jerome", "" ], [ "Katz", "Ori", "" ], [ "Bossy", "Emmanuel", "" ], [ "Gigan", "Sylvain", "" ] ]
[ 0.057251591235399246, 0.008414465934038162, -0.025843951851129532, -0.01739543117582798, 0.004641097504645586, -0.07791641354560852, -0.01762796752154827, -0.0761735737323761, -0.035443954169750214, 0.005284445360302925, -0.010985352098941803, -0.04245162755250931, -0.010782098397612572, 0.02154984138906002, 0.028986714780330658, 0.018306564539670944, 0.0032526145223528147, 0.04720287770032883, 0.055984850972890854, 0.03575030714273453, -0.02142713963985443, -0.002086583524942398, -0.025102367624640465, -0.11029548943042755, 0.01707398146390915, 0.004734496120363474, 0.014614883810281754, -0.02523169293999672, -0.052684150636196136, 0.044377315789461136, 0.038300491869449615, -0.05187305063009262, 0.07181870192289352, -0.011883200146257877, -0.04144781455397606, -0.07329241931438446, 0.05163808912038803, -0.0005194307886995375, 0.006372608710080385, 0.03469429537653923, 0.03051561303436756, 0.08842843770980835, -0.042439550161361694, -0.07434263825416565, -0.051610492169857025, -0.1534184366464615, -0.00557508273050189, -0.05133584514260292, -0.022326327860355377, -0.013901615515351295, -0.04874640703201294, -0.11137890815734863, -0.021168870851397514, -0.003555009374395013, -0.01954078860580921, 0.020619988441467285, -0.01973278447985649, -0.0009928278159350157, 0.055423520505428314, -0.08655513823032379, 0.04646346718072891, 0.0062827859073877335, 0.002910986775532365, -0.03587542846798897, 0.09817902743816376, 0.009358899667859077, 0.005350521765649319, -0.02763950079679489, 0.005324645899236202, -0.023701252415776253, -0.07917995750904083, 0.038543179631233215, 0.12703289091587067, -0.035592347383499146, -0.04187629744410515, 0.013912639580667019, -0.020795758813619614, 0.030134789645671844, 0.006320919841527939, 0.04422006011009216, 0.04752637818455696, 0.0020600175485014915, -0.029213780537247658, -0.02863854169845581, -0.027201537042856216, 0.10724511742591858, -0.026273928582668304, 0.026424262672662735, -0.07264865189790726, -0.030135953798890114, -0.014792844653129578, -0.07426711171865463, -0.06633935868740082, -0.027966031804680824, -0.06105890870094299, -0.07881027460098267, 0.08788738399744034, -0.0009602847858332098, 0.08249601721763611, -0.00040408747736364603, 0.01935703121125698, -0.07205942273139954, -0.014055865816771984, -0.05088399723172188, -0.03437843173742294, -0.009522967040538788, -0.08540468662977219, -0.0043923500925302505, 0.024806588888168335, -0.03221585974097252, 0.03020109236240387, 0.04240219295024872, -0.06303036212921143, 0.03387247398495674, 0.0005066850571893156, -0.035683661699295044, -0.05713697150349617, 0.003582751378417015, 0.014570937491953373, 0.00671703927218914, 0.030571820214390755, -0.056101102381944656, 0.012832211330533028, -0.0331999696791172, -0.017490429803729057, -0.06446731090545654, -0.11455660313367844, -7.996990006044757e-34, -0.06372762471437454, 0.12909726798534393, 0.00427770521491766, -0.027442747727036476, 0.05731482058763504, -0.0757601261138916, -0.02289457619190216, -0.02419276349246502, -0.00008568244084017351, 0.025973143056035042, -0.007306086830794811, 0.049672722816467285, 0.01682588830590248, 0.01855894923210144, 0.06312732398509979, 0.047424111515283585, -0.012113068252801895, 0.03147057071328163, -0.02613687328994274, -0.026170045137405396, -0.011215602979063988, 0.032700151205062866, -0.02485656552016735, -0.00003622169970185496, -0.016349053010344505, -0.028930185362696648, -0.0624392144382, -0.10511952638626099, 0.013891392387449741, 0.004874422214925289, 0.007720092311501503, 0.08325157314538956, 0.01915256306529045, -0.0006017092964611948, 0.12627780437469482, -0.026642341166734695, 0.07888054847717285, 0.0031548228580504656, 0.027797862887382507, -0.06991656869649887, 0.0002733111323323101, 0.02645355649292469, -0.00218994845636189, 0.021164709702134132, 0.07178115099668503, 0.05081407353281975, -0.0665789544582367, 0.0947100818157196, 0.013614647090435028, -0.040478143841028214, 0.04024018719792366, -0.06966782361268997, 0.00511889485642314, -0.0018825693987309933, 0.013178820721805096, -0.002249659039080143, 0.01602635532617569, -0.04677857086062431, 0.03365442901849747, 0.002650619251653552, 0.05222729966044426, -0.05351328104734421, 0.0966188982129097, -0.006588251795619726, -0.03416759520769119, 0.05833319574594498, -0.08743501454591751, -0.03752612695097923, 0.046891942620277405, 0.0506577342748642, 0.011480686254799366, 0.08687286823987961, 0.007338160648941994, -0.013466623611748219, 0.04464993625879288, 0.058260172605514526, 0.059369344264268875, 0.06109333410859108, -0.013071109540760517, 0.06725472956895828, -0.022211242467164993, 0.06158420071005821, -0.05670512840151787, -0.11796935647726059, -0.03229515254497528, 0.046276841312646866, -0.04797496274113655, -0.008933690376579762, -0.0657666027545929, -0.016193455085158348, -0.039991915225982666, 0.054900430142879486, -0.08826206624507904, -0.027198702096939087, 0.03056633099913597, -7.924742102862304e-34, 0.13273555040359497, 0.01851876825094223, -0.029713870957493782, -0.08289735019207001, 0.06587974727153778, -0.006109016947448254, 0.0695580393075943, 0.004530403763055801, -0.010980183258652687, 0.03183837607502937, 0.13997510075569153, 0.029387010261416435, 0.0013164497213438153, 0.03446558117866516, -0.053696926683187485, -0.022379199042916298, 0.0622267983853817, -0.033239882439374924, -0.034734487533569336, -0.10033520311117172, -0.012836393900215626, -0.042489878833293915, 0.06099488213658333, 0.028847286477684975, -0.05807878449559212, 0.03740634769201279, -0.0238645039498806, -0.018840398639440536, -0.03135150298476219, 0.006574050523340702, -0.08446892350912094, 0.01668449304997921, 0.03788524866104126, -0.009424988180398941, 0.03437570109963417, 0.05561237782239914, -0.03804907202720642, -0.034076567739248276, 0.009833608753979206, 0.011875488795340061, -0.03439592197537422, 0.014173601754009724, 0.02731606364250183, 0.004624497145414352, -0.03552168607711792, 0.03341757133603096, 0.06296367198228836, 0.03503618389368057, -0.041641946882009506, -0.06123347207903862, 0.10722871869802475, 0.006742780562490225, 0.06706694513559341, 0.04130958020687103, 0.07357446104288101, 0.053841784596443176, 0.03189951926469803, 0.0021094847470521927, 0.13393065333366394, 0.036280907690525055, -0.016601910814642906, 0.0256350077688694, -0.10920622199773788, 0.001520433695986867, 0.001753979129716754, -0.03736540302634239, 0.05513095483183861, -0.0041502295061945915, 0.013594960793852806, 0.03539345785975456, 0.05561767518520355, -0.013649746775627136, 0.05537058040499687, 0.14228856563568115, 0.03139102831482887, 0.020751966163516045, -0.047743622213602066, -0.07181470096111298, -0.0100884810090065, -0.0001726656628306955, 0.018817998468875885, -0.06369411200284958, 0.023688018321990967, 0.038957543671131134, 0.1339336335659027, 0.0035601267591118813, -0.015759127214550972, -0.14089542627334595, -0.008050615899264812, 0.0013709513004869223, 0.08329766243696213, 0.08870048820972443, 0.09124986082315445, -0.09568008035421371, 0.1149991825222969, -3.46033601772433e-8, -0.04286954924464226, -0.043484076857566833, 0.018169494345784187, -0.08299577236175537, 0.05594567209482193, -0.0726877972483635, -0.018882662057876587, 0.002041115192696452, 0.09371001273393631, -0.0819304808974266, 0.03129793331027031, -0.06669099628925323, -0.018265312537550926, -0.02756504900753498, 0.023018140345811844, -0.022976873442530632, -0.001485976972617209, -0.0375564768910408, -0.002750981133431196, -0.094683438539505, -0.09030292928218842, -0.02564154379069805, 0.025505971163511276, -0.0003155251615680754, 0.044921875, -0.013450744561851025, 0.0106990160420537, -0.020141778513789177, 0.09453683346509933, 0.03355443477630615, -0.0265810489654541, 0.0017268151277676225, -0.00033788211294449866, 0.02284611389040947, -0.03211015835404396, 0.02829595096409321, -0.034044165164232254, -0.0446491539478302, -0.14564479887485504, -0.049244385212659836, -0.039326395839452744, -0.01264255866408348, -0.024246927350759506, -0.04720037803053856, -0.015466224402189255, 0.06141124665737152, 0.0739637166261673, 0.02208659239113331, -0.011228392831981182, 0.040207698941230774, -0.024211212992668152, 0.006823777686804533, 0.039971597492694855, -0.052626192569732666, -0.03571048378944397, -0.10018958151340485, -0.000865183596033603, 0.07624021917581558, -0.0031029549427330494, 0.062196727842092514, 0.048405930399894714, 0.013332839123904705, -0.00024802557891234756, 0.04180183261632919 ]
null
null
null
null
null
null
null
[ 0.057251591235399246, 0.008414465934038162, -0.025843951851129532, -0.01739543117582798, 0.004641097504645586, -0.07791641354560852, -0.01762796752154827, -0.0761735737323761, -0.035443954169750214, 0.005284445360302925, -0.010985352098941803, -0.04245162755250931, -0.010782098397612572, 0.02154984138906002, 0.028986714780330658, 0.018306564539670944, 0.0032526145223528147, 0.04720287770032883, 0.055984850972890854, 0.03575030714273453, -0.02142713963985443, -0.002086583524942398, -0.025102367624640465, -0.11029548943042755, 0.01707398146390915, 0.004734496120363474, 0.014614883810281754, -0.02523169293999672, -0.052684150636196136, 0.044377315789461136, 0.038300491869449615, -0.05187305063009262, 0.07181870192289352, -0.011883200146257877, -0.04144781455397606, -0.07329241931438446, 0.05163808912038803, -0.0005194307886995375, 0.006372608710080385, 0.03469429537653923, 0.03051561303436756, 0.08842843770980835, -0.042439550161361694, -0.07434263825416565, -0.051610492169857025, -0.1534184366464615, -0.00557508273050189, -0.05133584514260292, -0.022326327860355377, -0.013901615515351295, -0.04874640703201294, -0.11137890815734863, -0.021168870851397514, -0.003555009374395013, -0.01954078860580921, 0.020619988441467285, -0.01973278447985649, -0.0009928278159350157, 0.055423520505428314, -0.08655513823032379, 0.04646346718072891, 0.0062827859073877335, 0.002910986775532365, -0.03587542846798897, 0.09817902743816376, 0.009358899667859077, 0.005350521765649319, -0.02763950079679489, 0.005324645899236202, -0.023701252415776253, -0.07917995750904083, 0.038543179631233215, 0.12703289091587067, -0.035592347383499146, -0.04187629744410515, 0.013912639580667019, -0.020795758813619614, 0.030134789645671844, 0.006320919841527939, 0.04422006011009216, 0.04752637818455696, 0.0020600175485014915, -0.029213780537247658, -0.02863854169845581, -0.027201537042856216, 0.10724511742591858, -0.026273928582668304, 0.026424262672662735, -0.07264865189790726, -0.030135953798890114, -0.014792844653129578, -0.07426711171865463, -0.06633935868740082, -0.027966031804680824, -0.06105890870094299, -0.07881027460098267, 0.08788738399744034, -0.0009602847858332098, 0.08249601721763611, -0.00040408747736364603, 0.01935703121125698, -0.07205942273139954, -0.014055865816771984, -0.05088399723172188, -0.03437843173742294, -0.009522967040538788, -0.08540468662977219, -0.0043923500925302505, 0.024806588888168335, -0.03221585974097252, 0.03020109236240387, 0.04240219295024872, -0.06303036212921143, 0.03387247398495674, 0.0005066850571893156, -0.035683661699295044, -0.05713697150349617, 0.003582751378417015, 0.014570937491953373, 0.00671703927218914, 0.030571820214390755, -0.056101102381944656, 0.012832211330533028, -0.0331999696791172, -0.017490429803729057, -0.06446731090545654, -0.11455660313367844, -7.996990006044757e-34, -0.06372762471437454, 0.12909726798534393, 0.00427770521491766, -0.027442747727036476, 0.05731482058763504, -0.0757601261138916, -0.02289457619190216, -0.02419276349246502, -0.00008568244084017351, 0.025973143056035042, -0.007306086830794811, 0.049672722816467285, 0.01682588830590248, 0.01855894923210144, 0.06312732398509979, 0.047424111515283585, -0.012113068252801895, 0.03147057071328163, -0.02613687328994274, -0.026170045137405396, -0.011215602979063988, 0.032700151205062866, -0.02485656552016735, -0.00003622169970185496, -0.016349053010344505, -0.028930185362696648, -0.0624392144382, -0.10511952638626099, 0.013891392387449741, 0.004874422214925289, 0.007720092311501503, 0.08325157314538956, 0.01915256306529045, -0.0006017092964611948, 0.12627780437469482, -0.026642341166734695, 0.07888054847717285, 0.0031548228580504656, 0.027797862887382507, -0.06991656869649887, 0.0002733111323323101, 0.02645355649292469, -0.00218994845636189, 0.021164709702134132, 0.07178115099668503, 0.05081407353281975, -0.0665789544582367, 0.0947100818157196, 0.013614647090435028, -0.040478143841028214, 0.04024018719792366, -0.06966782361268997, 0.00511889485642314, -0.0018825693987309933, 0.013178820721805096, -0.002249659039080143, 0.01602635532617569, -0.04677857086062431, 0.03365442901849747, 0.002650619251653552, 0.05222729966044426, -0.05351328104734421, 0.0966188982129097, -0.006588251795619726, -0.03416759520769119, 0.05833319574594498, -0.08743501454591751, -0.03752612695097923, 0.046891942620277405, 0.0506577342748642, 0.011480686254799366, 0.08687286823987961, 0.007338160648941994, -0.013466623611748219, 0.04464993625879288, 0.058260172605514526, 0.059369344264268875, 0.06109333410859108, -0.013071109540760517, 0.06725472956895828, -0.022211242467164993, 0.06158420071005821, -0.05670512840151787, -0.11796935647726059, -0.03229515254497528, 0.046276841312646866, -0.04797496274113655, -0.008933690376579762, -0.0657666027545929, -0.016193455085158348, -0.039991915225982666, 0.054900430142879486, -0.08826206624507904, -0.027198702096939087, 0.03056633099913597, -7.924742102862304e-34, 0.13273555040359497, 0.01851876825094223, -0.029713870957493782, -0.08289735019207001, 0.06587974727153778, -0.006109016947448254, 0.0695580393075943, 0.004530403763055801, -0.010980183258652687, 0.03183837607502937, 0.13997510075569153, 0.029387010261416435, 0.0013164497213438153, 0.03446558117866516, -0.053696926683187485, -0.022379199042916298, 0.0622267983853817, -0.033239882439374924, -0.034734487533569336, -0.10033520311117172, -0.012836393900215626, -0.042489878833293915, 0.06099488213658333, 0.028847286477684975, -0.05807878449559212, 0.03740634769201279, -0.0238645039498806, -0.018840398639440536, -0.03135150298476219, 0.006574050523340702, -0.08446892350912094, 0.01668449304997921, 0.03788524866104126, -0.009424988180398941, 0.03437570109963417, 0.05561237782239914, -0.03804907202720642, -0.034076567739248276, 0.009833608753979206, 0.011875488795340061, -0.03439592197537422, 0.014173601754009724, 0.02731606364250183, 0.004624497145414352, -0.03552168607711792, 0.03341757133603096, 0.06296367198228836, 0.03503618389368057, -0.041641946882009506, -0.06123347207903862, 0.10722871869802475, 0.006742780562490225, 0.06706694513559341, 0.04130958020687103, 0.07357446104288101, 0.053841784596443176, 0.03189951926469803, 0.0021094847470521927, 0.13393065333366394, 0.036280907690525055, -0.016601910814642906, 0.0256350077688694, -0.10920622199773788, 0.001520433695986867, 0.001753979129716754, -0.03736540302634239, 0.05513095483183861, -0.0041502295061945915, 0.013594960793852806, 0.03539345785975456, 0.05561767518520355, -0.013649746775627136, 0.05537058040499687, 0.14228856563568115, 0.03139102831482887, 0.020751966163516045, -0.047743622213602066, -0.07181470096111298, -0.0100884810090065, -0.0001726656628306955, 0.018817998468875885, -0.06369411200284958, 0.023688018321990967, 0.038957543671131134, 0.1339336335659027, 0.0035601267591118813, -0.015759127214550972, -0.14089542627334595, -0.008050615899264812, 0.0013709513004869223, 0.08329766243696213, 0.08870048820972443, 0.09124986082315445, -0.09568008035421371, 0.1149991825222969, -3.46033601772433e-8, -0.04286954924464226, -0.043484076857566833, 0.018169494345784187, -0.08299577236175537, 0.05594567209482193, -0.0726877972483635, -0.018882662057876587, 0.002041115192696452, 0.09371001273393631, -0.0819304808974266, 0.03129793331027031, -0.06669099628925323, -0.018265312537550926, -0.02756504900753498, 0.023018140345811844, -0.022976873442530632, -0.001485976972617209, -0.0375564768910408, -0.002750981133431196, -0.094683438539505, -0.09030292928218842, -0.02564154379069805, 0.025505971163511276, -0.0003155251615680754, 0.044921875, -0.013450744561851025, 0.0106990160420537, -0.020141778513789177, 0.09453683346509933, 0.03355443477630615, -0.0265810489654541, 0.0017268151277676225, -0.00033788211294449866, 0.02284611389040947, -0.03211015835404396, 0.02829595096409321, -0.034044165164232254, -0.0446491539478302, -0.14564479887485504, -0.049244385212659836, -0.039326395839452744, -0.01264255866408348, -0.024246927350759506, -0.04720037803053856, -0.015466224402189255, 0.06141124665737152, 0.0739637166261673, 0.02208659239113331, -0.011228392831981182, 0.040207698941230774, -0.024211212992668152, 0.006823777686804533, 0.039971597492694855, -0.052626192569732666, -0.03571048378944397, -0.10018958151340485, -0.000865183596033603, 0.07624021917581558, -0.0031029549427330494, 0.062196727842092514, 0.048405930399894714, 0.013332839123904705, -0.00024802557891234756, 0.04180183261632919 ]
1402.0282
Benjamin Rubinstein
Duo Zhang and Benjamin I. P. Rubinstein and Jim Gemmell
Principled Graph Matching Algorithms for Integrating Multiple Data Sources
14 pages, 11 figures
null
null
null
cs.DB cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper explores combinatorial optimization for problems of max-weight graph matching on multi-partite graphs, which arise in integrating multiple data sources. Entity resolution-the data integration problem of performing noisy joins on structured data-typically proceeds by first hashing each record into zero or more blocks, scoring pairs of records that are co-blocked for similarity, and then matching pairs of sufficient similarity. In the most common case of matching two sources, it is often desirable for the final matching to be one-to-one (a record may be matched with at most one other); members of the database and statistical record linkage communities accomplish such matchings in the final stage by weighted bipartite graph matching on similarity scores. Such matchings are intuitively appealing: they leverage a natural global property of many real-world entity stores-that of being nearly deduped-and are known to provide significant improvements to precision and recall. Unfortunately unlike the bipartite case, exact max-weight matching on multi-partite graphs is known to be NP-hard. Our two-fold algorithmic contributions approximate multi-partite max-weight matching: our first algorithm borrows optimization techniques common to Bayesian probabilistic inference; our second is a greedy approximation algorithm. In addition to a theoretical guarantee on the latter, we present comparisons on a real-world ER problem from Bing significantly larger than typically found in the literature, publication data, and on a series of synthetic problems. Our results quantify significant improvements due to exploiting multiple sources, which are made possible by global one-to-one constraints linking otherwise independent matching sub-problems. We also discover that our algorithms are complementary: one being much more robust under noise, and the other being simple to implement and very fast to run.
[ { "created": "Mon, 3 Feb 2014 04:56:58 GMT", "version": "v1" } ]
2014-02-04
[ [ "Zhang", "Duo", "" ], [ "Rubinstein", "Benjamin I. P.", "" ], [ "Gemmell", "Jim", "" ] ]
[ -0.08368142694234848, -0.008408778347074986, 0.034164492040872574, -0.023341631516814232, 0.019762467592954636, -0.06516441702842712, -0.025451991707086563, -0.006248558405786753, 0.034455832093954086, 0.028517266735434532, -0.03380339592695236, -0.060864802449941635, 0.09691490978002548, 0.04706832766532898, -0.01029036846011877, 0.14430934190750122, 0.10815201699733734, 0.11493085324764252, -0.062267545610666275, -0.003328948747366667, -0.031859807670116425, 0.005369364749640226, 0.04938521236181259, 0.0038822342175990343, 0.03063853457570076, -0.0005412552854977548, 0.00542012695223093, 0.022613199427723885, -0.04775303229689598, -0.028757384046912193, 0.018998047336935997, 0.02438964694738388, -0.013838618993759155, 0.056072384119033813, -0.03962539881467819, 0.03526800125837326, -0.05970330163836479, -0.026516668498516083, 0.05078759789466858, -0.0188056118786335, 0.046775661408901215, 0.01840623840689659, -0.027513332664966583, 0.04461067169904709, -0.042052917182445526, 0.12659864127635956, -0.08334958553314209, 0.07563325017690659, -0.009251502342522144, 0.0546288900077343, -0.042023953050374985, 0.030695436522364616, 0.0008327208342961967, 0.05868326127529144, 0.01290158275514841, 0.041052207350730896, 0.04168584570288658, -0.010998846963047981, -0.02329152077436447, 0.007937822490930557, 0.0055825007148087025, -0.09090708941221237, 0.014976004138588905, -0.05875971168279648, -0.0059742191806435585, -0.027426978573203087, -0.013172059319913387, 0.01688958704471588, -0.04025302454829216, 0.03770400583744049, 0.062147356569767, 0.015332043170928955, -0.09449855238199234, 0.10131313651800156, -0.033391643315553665, 0.03606998547911644, 0.004595666192471981, -0.02619202435016632, -0.07385669648647308, -0.02369574084877968, -0.10751120746135712, -0.02067306824028492, 0.015739018097519875, -0.04337729886174202, 0.06137070059776306, -0.044429436326026917, 0.038491152226924896, -0.00255966535769403, 0.013903678394854069, 0.07161293923854828, -0.1173015907406807, 0.06022733822464943, 0.07671969383955002, -0.0354255847632885, 0.07509996742010117, 0.008429189212620258, 0.03061445616185665, 0.0007240871782414615, 0.08082187920808792, 0.050458163022994995, -0.041776783764362335, 0.10742230713367462, 0.08132494240999222, -0.036037687212228775, 0.009747459553182125, 0.013732006773352623, -0.06954298168420792, 0.11682190001010895, -0.007713071536272764, -0.07143387943506241, -0.025722071528434753, 0.02611568756401539, 0.030718067660927773, 0.021103600040078163, 0.03413254767656326, -0.022219175472855568, 0.059852730482816696, 0.048540856689214706, 0.0039888364262878895, 0.008675006218254566, 0.006525596138089895, 0.05030025914311409, -0.0213059913367033, -0.06674070656299591, -0.01723104901611805, 0.019384589046239853, -0.03596746176481247, 3.877499991959798e-33, 0.13136161863803864, 0.07932023704051971, 0.03784431144595146, -0.03441377729177475, -0.01709505170583725, -0.0217045396566391, -0.08034742623567581, 0.054467443376779556, -0.08170346915721893, 0.008482091128826141, -0.05324532464146614, 0.04871770367026329, 0.019523730501532555, 0.0026898763608187437, -0.01079285517334938, -0.006814200431108475, -0.014622722752392292, 0.07349012047052383, 0.022158445790410042, -0.036007918417453766, 0.05413997545838356, -0.06544294953346252, 0.010511736385524273, 0.054139502346515656, 0.03762179985642433, -0.03885193169116974, 0.013475408777594566, -0.016099222004413605, 0.047204140573740005, -0.03960232436656952, -0.02767612598836422, -0.003579785581678152, 0.05780037119984627, 0.021814195439219475, 0.048980098217725754, -0.0772174671292305, 0.047574300318956375, -0.10412521660327911, -0.07612522691488266, -0.06522516161203384, -0.03222478926181793, 0.06571102887392044, 0.04080163687467575, -0.06732133030891418, -0.050190605223178864, -0.006788369733840227, -0.04155387356877327, -0.0014521712437272072, 0.037268590182065964, -0.02413232810795307, 0.08192654699087143, -0.039324235171079636, -0.023979928344488144, 0.03149305656552315, -0.07912340760231018, -0.013204947113990784, 0.018626591190695763, -0.020258910953998566, 0.06044544279575348, 0.07808595895767212, 0.0010205996222794056, 0.016386525705456734, 0.004168971441686153, 0.04357471317052841, 0.023626485839486122, 0.005641774740070105, 0.01658955216407776, 0.008654648438096046, 0.06835532933473587, -0.04053472355008125, 0.05408698320388794, 0.017207657918334007, 0.024499794468283653, -0.05732855573296547, 0.0032106933649629354, -0.017195655032992363, 0.014717009849846363, -0.0828300341963768, -0.04654093459248543, 0.03132431209087372, -0.039280399680137634, -0.022213242948055267, 0.04948662221431732, -0.05559014528989792, -0.055163562297821045, -0.00798718724399805, 0.016988329589366913, -0.0611654594540596, -0.048551902174949646, -0.024182189255952835, 0.023745976388454437, 0.03550339862704277, -0.09373489022254944, -0.050799231976270676, 0.06697945296764374, -2.2513826368146715e-33, -0.002492694417014718, -0.08775179088115692, 0.08087431639432907, 0.03196500986814499, 0.04341793805360794, -0.07828126847743988, -0.0450209304690361, -0.1211000382900238, -0.016616906970739365, -0.041527509689331055, -0.015761634334921837, -0.09990943223237991, 0.046006374061107635, -0.11724020540714264, -0.03698572888970375, 0.010852953419089317, 0.028571322560310364, 0.022440021857619286, -0.04770730435848236, 0.0670902281999588, 0.07355416566133499, 0.0505308136343956, -0.06131542846560478, 0.05133148282766342, 0.0896599143743515, 0.020339220762252808, 0.015872055664658546, -0.05959903076291084, -0.006769407074898481, -0.005325422156602144, -0.0015044440515339375, -0.010889223776757717, -0.08577557653188705, -0.08761250972747803, -0.06791558116674423, 0.008723869919776917, -0.007998332381248474, 0.06524277478456497, -0.014000006951391697, -0.015378681942820549, -0.009414931759238243, 0.032793253660202026, -0.05654508247971535, -0.026797804981470108, 0.0005449241143651307, -0.0258856900036335, -0.06059492006897926, 0.047087863087654114, 0.0020581181161105633, -0.029009418562054634, -0.04090644419193268, -0.0063400487415492535, 0.019296318292617798, 0.012706562876701355, 0.06244191527366638, -0.09419791400432587, -0.09029945731163025, 0.03635189309716225, -0.0050402539782226086, -0.01548405084758997, -0.017238853499293327, 0.09193035960197449, -0.03701861575245857, 0.1254372000694275, 0.010672182776033878, -0.05892394483089447, 0.04243111610412598, 0.02017902210354805, -0.04602324590086937, 0.021011553704738617, 0.02803724817931652, -0.023768920451402664, 0.03129884600639343, 0.005678234621882439, 0.03899407386779785, 0.031833432614803314, 0.07625995576381683, 0.04892101138830185, -0.03616394102573395, 0.03107641451060772, -0.04252205789089203, 0.004092758521437645, 0.07455085963010788, 0.07413601130247116, 0.04234606772661209, -0.04234286770224571, -0.000006505943474621745, 0.019958527758717537, 0.032518479973077774, 0.004895578138530254, -0.07657071202993393, -0.005469080526381731, 0.00930738728493452, -0.04426258057355881, -0.0457906574010849, -4.2290078994255964e-8, -0.09678734093904495, 0.06059110537171364, -0.10127083212137222, -0.02191205322742462, 0.055158644914627075, 0.0023956631775945425, 0.028022928163409233, 0.1356337070465088, -0.015452928841114044, 0.06801455467939377, 0.03974049538373947, -0.0023305935319513083, -0.0221432875841856, -0.01302777137607336, -0.022990575060248375, 0.017607318237423897, 0.0015417436370626092, -0.056525129824876785, 0.040876008570194244, 0.031426288187503815, -0.08269743621349335, 0.004031649325042963, -0.03874696418642998, -0.017407149076461792, 0.08128543943166733, -0.049854010343551636, -0.007974861189723015, 0.034261513501405716, 0.08715098351240158, 0.03246786817908287, -0.05452834814786911, -0.02011709287762642, 0.034748625010252, -0.07291581481695175, 0.11629864573478699, 0.023605840280652046, -0.0005700679612345994, 0.053410377353429794, -0.0978105291724205, -0.01906663365662098, 0.09071691334247589, 0.044369086623191833, -0.04100855812430382, 0.032935358583927155, 0.15464800596237183, -0.007146941032260656, -0.02943064272403717, 0.06895551830530167, -0.01147693581879139, -0.0209167692810297, 0.006131008267402649, -0.06371968239545822, 0.04610760137438774, -0.008390920236706734, -0.009445714764297009, 0.049543511122465134, -0.02291790023446083, -0.02571031078696251, 0.1319572478532791, -0.033004727214574814, 0.042323626577854156, -0.06736110895872116, -0.05188920348882675, 0.004081225022673607 ]
null
null
null
null
null
null
null
[ -0.08368142694234848, -0.008408778347074986, 0.034164492040872574, -0.023341631516814232, 0.019762467592954636, -0.06516441702842712, -0.025451991707086563, -0.006248558405786753, 0.034455832093954086, 0.028517266735434532, -0.03380339592695236, -0.060864802449941635, 0.09691490978002548, 0.04706832766532898, -0.01029036846011877, 0.14430934190750122, 0.10815201699733734, 0.11493085324764252, -0.062267545610666275, -0.003328948747366667, -0.031859807670116425, 0.005369364749640226, 0.04938521236181259, 0.0038822342175990343, 0.03063853457570076, -0.0005412552854977548, 0.00542012695223093, 0.022613199427723885, -0.04775303229689598, -0.028757384046912193, 0.018998047336935997, 0.02438964694738388, -0.013838618993759155, 0.056072384119033813, -0.03962539881467819, 0.03526800125837326, -0.05970330163836479, -0.026516668498516083, 0.05078759789466858, -0.0188056118786335, 0.046775661408901215, 0.01840623840689659, -0.027513332664966583, 0.04461067169904709, -0.042052917182445526, 0.12659864127635956, -0.08334958553314209, 0.07563325017690659, -0.009251502342522144, 0.0546288900077343, -0.042023953050374985, 0.030695436522364616, 0.0008327208342961967, 0.05868326127529144, 0.01290158275514841, 0.041052207350730896, 0.04168584570288658, -0.010998846963047981, -0.02329152077436447, 0.007937822490930557, 0.0055825007148087025, -0.09090708941221237, 0.014976004138588905, -0.05875971168279648, -0.0059742191806435585, -0.027426978573203087, -0.013172059319913387, 0.01688958704471588, -0.04025302454829216, 0.03770400583744049, 0.062147356569767, 0.015332043170928955, -0.09449855238199234, 0.10131313651800156, -0.033391643315553665, 0.03606998547911644, 0.004595666192471981, -0.02619202435016632, -0.07385669648647308, -0.02369574084877968, -0.10751120746135712, -0.02067306824028492, 0.015739018097519875, -0.04337729886174202, 0.06137070059776306, -0.044429436326026917, 0.038491152226924896, -0.00255966535769403, 0.013903678394854069, 0.07161293923854828, -0.1173015907406807, 0.06022733822464943, 0.07671969383955002, -0.0354255847632885, 0.07509996742010117, 0.008429189212620258, 0.03061445616185665, 0.0007240871782414615, 0.08082187920808792, 0.050458163022994995, -0.041776783764362335, 0.10742230713367462, 0.08132494240999222, -0.036037687212228775, 0.009747459553182125, 0.013732006773352623, -0.06954298168420792, 0.11682190001010895, -0.007713071536272764, -0.07143387943506241, -0.025722071528434753, 0.02611568756401539, 0.030718067660927773, 0.021103600040078163, 0.03413254767656326, -0.022219175472855568, 0.059852730482816696, 0.048540856689214706, 0.0039888364262878895, 0.008675006218254566, 0.006525596138089895, 0.05030025914311409, -0.0213059913367033, -0.06674070656299591, -0.01723104901611805, 0.019384589046239853, -0.03596746176481247, 3.877499991959798e-33, 0.13136161863803864, 0.07932023704051971, 0.03784431144595146, -0.03441377729177475, -0.01709505170583725, -0.0217045396566391, -0.08034742623567581, 0.054467443376779556, -0.08170346915721893, 0.008482091128826141, -0.05324532464146614, 0.04871770367026329, 0.019523730501532555, 0.0026898763608187437, -0.01079285517334938, -0.006814200431108475, -0.014622722752392292, 0.07349012047052383, 0.022158445790410042, -0.036007918417453766, 0.05413997545838356, -0.06544294953346252, 0.010511736385524273, 0.054139502346515656, 0.03762179985642433, -0.03885193169116974, 0.013475408777594566, -0.016099222004413605, 0.047204140573740005, -0.03960232436656952, -0.02767612598836422, -0.003579785581678152, 0.05780037119984627, 0.021814195439219475, 0.048980098217725754, -0.0772174671292305, 0.047574300318956375, -0.10412521660327911, -0.07612522691488266, -0.06522516161203384, -0.03222478926181793, 0.06571102887392044, 0.04080163687467575, -0.06732133030891418, -0.050190605223178864, -0.006788369733840227, -0.04155387356877327, -0.0014521712437272072, 0.037268590182065964, -0.02413232810795307, 0.08192654699087143, -0.039324235171079636, -0.023979928344488144, 0.03149305656552315, -0.07912340760231018, -0.013204947113990784, 0.018626591190695763, -0.020258910953998566, 0.06044544279575348, 0.07808595895767212, 0.0010205996222794056, 0.016386525705456734, 0.004168971441686153, 0.04357471317052841, 0.023626485839486122, 0.005641774740070105, 0.01658955216407776, 0.008654648438096046, 0.06835532933473587, -0.04053472355008125, 0.05408698320388794, 0.017207657918334007, 0.024499794468283653, -0.05732855573296547, 0.0032106933649629354, -0.017195655032992363, 0.014717009849846363, -0.0828300341963768, -0.04654093459248543, 0.03132431209087372, -0.039280399680137634, -0.022213242948055267, 0.04948662221431732, -0.05559014528989792, -0.055163562297821045, -0.00798718724399805, 0.016988329589366913, -0.0611654594540596, -0.048551902174949646, -0.024182189255952835, 0.023745976388454437, 0.03550339862704277, -0.09373489022254944, -0.050799231976270676, 0.06697945296764374, -2.2513826368146715e-33, -0.002492694417014718, -0.08775179088115692, 0.08087431639432907, 0.03196500986814499, 0.04341793805360794, -0.07828126847743988, -0.0450209304690361, -0.1211000382900238, -0.016616906970739365, -0.041527509689331055, -0.015761634334921837, -0.09990943223237991, 0.046006374061107635, -0.11724020540714264, -0.03698572888970375, 0.010852953419089317, 0.028571322560310364, 0.022440021857619286, -0.04770730435848236, 0.0670902281999588, 0.07355416566133499, 0.0505308136343956, -0.06131542846560478, 0.05133148282766342, 0.0896599143743515, 0.020339220762252808, 0.015872055664658546, -0.05959903076291084, -0.006769407074898481, -0.005325422156602144, -0.0015044440515339375, -0.010889223776757717, -0.08577557653188705, -0.08761250972747803, -0.06791558116674423, 0.008723869919776917, -0.007998332381248474, 0.06524277478456497, -0.014000006951391697, -0.015378681942820549, -0.009414931759238243, 0.032793253660202026, -0.05654508247971535, -0.026797804981470108, 0.0005449241143651307, -0.0258856900036335, -0.06059492006897926, 0.047087863087654114, 0.0020581181161105633, -0.029009418562054634, -0.04090644419193268, -0.0063400487415492535, 0.019296318292617798, 0.012706562876701355, 0.06244191527366638, -0.09419791400432587, -0.09029945731163025, 0.03635189309716225, -0.0050402539782226086, -0.01548405084758997, -0.017238853499293327, 0.09193035960197449, -0.03701861575245857, 0.1254372000694275, 0.010672182776033878, -0.05892394483089447, 0.04243111610412598, 0.02017902210354805, -0.04602324590086937, 0.021011553704738617, 0.02803724817931652, -0.023768920451402664, 0.03129884600639343, 0.005678234621882439, 0.03899407386779785, 0.031833432614803314, 0.07625995576381683, 0.04892101138830185, -0.03616394102573395, 0.03107641451060772, -0.04252205789089203, 0.004092758521437645, 0.07455085963010788, 0.07413601130247116, 0.04234606772661209, -0.04234286770224571, -0.000006505943474621745, 0.019958527758717537, 0.032518479973077774, 0.004895578138530254, -0.07657071202993393, -0.005469080526381731, 0.00930738728493452, -0.04426258057355881, -0.0457906574010849, -4.2290078994255964e-8, -0.09678734093904495, 0.06059110537171364, -0.10127083212137222, -0.02191205322742462, 0.055158644914627075, 0.0023956631775945425, 0.028022928163409233, 0.1356337070465088, -0.015452928841114044, 0.06801455467939377, 0.03974049538373947, -0.0023305935319513083, -0.0221432875841856, -0.01302777137607336, -0.022990575060248375, 0.017607318237423897, 0.0015417436370626092, -0.056525129824876785, 0.040876008570194244, 0.031426288187503815, -0.08269743621349335, 0.004031649325042963, -0.03874696418642998, -0.017407149076461792, 0.08128543943166733, -0.049854010343551636, -0.007974861189723015, 0.034261513501405716, 0.08715098351240158, 0.03246786817908287, -0.05452834814786911, -0.02011709287762642, 0.034748625010252, -0.07291581481695175, 0.11629864573478699, 0.023605840280652046, -0.0005700679612345994, 0.053410377353429794, -0.0978105291724205, -0.01906663365662098, 0.09071691334247589, 0.044369086623191833, -0.04100855812430382, 0.032935358583927155, 0.15464800596237183, -0.007146941032260656, -0.02943064272403717, 0.06895551830530167, -0.01147693581879139, -0.0209167692810297, 0.006131008267402649, -0.06371968239545822, 0.04610760137438774, -0.008390920236706734, -0.009445714764297009, 0.049543511122465134, -0.02291790023446083, -0.02571031078696251, 0.1319572478532791, -0.033004727214574814, 0.042323626577854156, -0.06736110895872116, -0.05188920348882675, 0.004081225022673607 ]
1402.0285
Shin'ya Yamada
Shin'ya Yamada, Y. Ezoe, Y. Ishisaki, T. Ohashi, N. Iijima, K. Mitsuda, K. Nagayoshi, H. Akamatsu, T. Morooka, K. Tanaka
Development of Multilayer Readout Wiring TES Calorimeter for Future X-ray Missions
6 pagas, 4 figures, LTD15
null
10.1007/s10909-013-1056-6
null
physics.ins-det astro-ph.IM hep-ex
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We have fabricated multilayer readout wiring Transition Edge Sensors (TES), which enable us to realize both large effective area and high-energy resolution for future X-ray astrophysical missions, such as DIOS. By sandwiching a SiO2 insulation layer between Al superconducting signal and return lines, self/mutual inductances and self fielding of bias leads are expected to be reduced. We fabricated 4x4 and 20x20 TES array on the multilayer wiring and tested their performance. Under the low temperature condition, several pixels in the TES array showed sharp superconducting transitions at around ~300 mK. We also succeeded in detecting X-ray signals from the 4x4 TES, contrary to the previous results of 20x20 TES. We further investigated the reasons for the differences between the 4x4 TES and the 20x20 TES, and present future plans for improving the multilayer TES array fabrication.
[ { "created": "Mon, 3 Feb 2014 05:09:42 GMT", "version": "v1" } ]
2014-02-04
[ [ "Yamada", "Shin'ya", "" ], [ "Ezoe", "Y.", "" ], [ "Ishisaki", "Y.", "" ], [ "Ohashi", "T.", "" ], [ "Iijima", "N.", "" ], [ "Mitsuda", "K.", "" ], [ "Nagayoshi", "K.", "" ], [ "Akamatsu", "H.", "" ], [ "Morooka", "T.", "" ], [ "Tanaka", "K.", "" ] ]
[ 0.01791043020784855, 0.007750044576823711, -0.022726258262991905, 0.00373519747518003, 0.06755191087722778, -0.06819471716880798, 0.020396122708916664, -0.019273832440376282, -0.027730435132980347, -0.004345542285591364, -0.01205990370362997, -0.026655515655875206, -0.025761635974049568, 0.03825570270419121, -0.027756033465266228, 0.05270187556743622, 0.037150681018829346, -0.04553690552711487, 0.04550815746188164, -0.027275867760181427, 0.04456620290875435, -0.06087081506848335, -0.059016015380620956, -0.018392745405435562, -0.04277805984020233, 0.01005694642663002, -0.000379184348275885, -0.11181512475013733, -0.029503077268600464, 0.06092945486307144, 0.0058313230983912945, 0.04651779308915138, -0.1217585876584053, 0.0026701034512370825, -0.040504228323698044, 0.0017604478634893894, 0.05347025766968727, -0.07170563191175461, -0.021717695519328117, -0.054093167185783386, 0.026500700041651726, -0.033223748207092285, -0.016627809032797813, 0.002240590052679181, -0.0300625991076231, -0.03399984538555145, 0.0494789220392704, -0.04469309002161026, 0.04745211452245712, 0.012809786014258862, 0.02366729825735092, -0.003822448430582881, 0.017213890329003334, 0.026532083749771118, 0.08499087393283844, 0.07061188668012619, -0.05148440971970558, 0.01325993426144123, -0.031168479472398758, -0.01826491579413414, 0.05358739197254181, -0.0438557006418705, 0.04145549237728119, 0.021364472806453705, -0.02580849453806877, 0.09157552570104599, -0.00990231428295374, 0.03468463942408562, -0.007855369709432125, -0.06550728529691696, 0.02549441158771515, 0.04118625447154045, 0.05812783166766167, -0.026571953669190407, 0.05900619179010391, 0.03201768919825554, 0.12714579701423645, -0.003190389834344387, 0.0725618451833725, -0.08190581947565079, -0.06091417744755745, 0.022535067051649094, -0.026945067569613457, -0.03783577308058739, -0.07423265278339386, -0.01434912346303463, 0.0034746325109153986, -0.02243640646338463, -0.007423353847116232, -0.019381776452064514, 0.011759229004383087, -0.062253210693597794, -0.13352912664413452, -0.0027617421001195908, 0.027189236134290695, -0.049279071390628815, 0.02700738050043583, -0.08539221435785294, 0.04177168756723404, -0.041029371321201324, 0.04818393662571907, -0.03192619979381561, -0.02655179612338543, 0.044103894382715225, -0.024985186755657196, 0.015782538801431656, 0.03907238319516182, 0.019981395453214645, -0.13565842807292938, 0.01633835770189762, 0.01233584713190794, 0.053890377283096313, 0.027883712202310562, -0.018393857404589653, 0.03288545459508896, -0.05503203719854355, -0.0787958949804306, 0.05289864540100098, -0.012764290906488895, -0.0035611712373793125, -0.07779902219772339, 0.0172882042825222, -0.013654769398272038, 0.04487970843911171, 0.04921850934624672, 0.007969081401824951, -0.05767516419291496, 4.3975824064597494e-33, -0.053392279893159866, 0.1387452930212021, -0.04613015800714493, 0.0362698920071125, -0.0030446022283285856, -0.032828956842422485, 0.039565060287714005, 0.06301753222942352, -0.0042891837656497955, 0.09123197197914124, -0.015011179260909557, 0.011270430870354176, 0.018611593171954155, 0.03928518295288086, 0.08712698519229889, -0.0018666964024305344, 0.05614159628748894, -0.07593303918838501, -0.028042420744895935, 0.07725285738706589, -0.03231409192085266, -0.05453646555542946, -0.02328016236424446, 0.03812611475586891, 0.015465110540390015, 0.06812499463558197, -0.04025544598698616, -0.06662346422672272, -0.0485859178006649, -0.0046359095722436905, -0.049784280359745026, -0.0120663121342659, 0.021982576698064804, -0.0028513327706605196, -0.0030103849712759256, 0.001139225554652512, -0.013192391954362392, 0.031691618263721466, 0.00745814386755228, -0.0350627601146698, 0.10713382810354233, 0.03192906454205513, 0.11514853686094284, -0.021575378254055977, 0.0007525287219323218, -0.03136758878827095, -0.05794047564268112, -0.010185664519667625, 0.002176276408135891, -0.012637398205697536, 0.009082933887839317, -0.059412721544504166, 0.01321421843022108, -0.032643239945173264, 0.08909636735916138, -0.06598562747240067, -0.05416544899344444, -0.011923381127417088, 0.07871642708778381, 0.020785223692655563, 0.016783185303211212, -0.03824031725525856, -0.06458663940429688, 0.07979407161474228, -0.07826726138591766, 0.09756964445114136, 0.020173175260424614, -0.01639930158853531, -0.05576423183083534, 0.0015805457951501012, -0.07277548313140869, 0.0827130675315857, 0.11670047044754028, -0.11771644651889801, 0.07609181851148605, 0.005183250177651644, -0.003878900548443198, -0.06564713269472122, 0.11851616203784943, 0.006260978989303112, 0.018077276647090912, 0.02495894767343998, 0.10613159835338593, -0.04559909552335739, 0.02098779007792473, 0.02994276024401188, -0.029500890523195267, 0.013956909067928791, 0.022107776254415512, 0.052397098392248154, 0.006839157547801733, -0.07824704796075821, 0.05039631947875023, -0.055907223373651505, -0.07916539907455444, -5.057837012165489e-33, 0.04609018936753273, -0.012787006795406342, 0.06636343896389008, -0.04504537582397461, -0.02092551440000534, -0.014059385284781456, 0.03470321372151375, 0.03325881436467171, 0.050688691437244415, -0.003484544577077031, 0.05572117492556572, 0.07367848604917526, -0.0026139456313103437, -0.025174936279654503, -0.01535806618630886, -0.01858491264283657, 0.016067873686552048, -0.08082447946071625, 0.07124160975217819, -0.11739759892225266, 0.11079736799001694, 0.06176115199923515, -0.016783831641077995, -0.04285397380590439, -0.022341439500451088, -0.028628749772906303, 0.01405339129269123, 0.006523779593408108, 0.036714106798172, 0.061711035668849945, -0.06086397171020508, -0.023018736392259598, 0.061149246990680695, 0.07652383297681808, 0.05875592678785324, -0.013985875993967056, 0.024977749213576317, -0.017912864685058594, -0.02319532260298729, -0.01465948298573494, -0.02203940786421299, 0.1190892904996872, 0.003936160355806351, 0.027016015723347664, -0.048443835228681564, 0.04973716288805008, -0.052967533469200134, -0.007974764332175255, -0.010829049162566662, 0.04602993652224541, -0.009818393737077713, -0.0001630338520044461, -0.06918895989656448, -0.0020867851562798023, -0.0226630549877882, -0.0031202463433146477, -0.062233634293079376, 0.1005307212471962, -0.023987067863345146, -0.02589600160717964, 0.04318550229072571, -0.1141648143529892, 0.07034392654895782, -0.05804707109928131, 0.038362305611371994, -0.06849442422389984, 0.01544934418052435, 0.02456485480070114, 0.02107115276157856, 0.016641860827803612, 0.052266646176576614, -0.03093281202018261, -0.0814276784658432, -0.1189185231924057, 0.03801439329981804, 0.018358474597334862, -0.06815949827432632, -0.04871451482176781, 0.0787823349237442, 0.049186162650585175, -0.04964786767959595, -0.004540184047073126, -0.0013257133541628718, 0.07640671730041504, 0.11498066782951355, 0.0502302460372448, -0.047827962785959244, 0.07226189970970154, -0.015819260850548744, -0.024601366370916367, 0.013848941773176193, -0.057541631162166595, 0.1073332130908966, -0.08339172601699829, -0.007416391279548407, -5.1350941276950834e-8, -0.0549304373562336, 0.04258941113948822, -0.018141964450478554, -0.03248894587159157, -0.032332610338926315, -0.07188726961612701, -0.0350593738257885, -0.015146920457482338, 0.06826692074537277, -0.028888149186968803, 0.061347831040620804, -0.06016978248953819, -0.040792468935251236, -0.011341262608766556, 0.05855710431933403, 0.01136783417314291, -0.06663138419389725, -0.038069307804107666, 0.04290546476840973, -0.024088682606816292, -0.03629254549741745, 0.06247450038790703, 0.01908116601407528, -0.03707488998770714, 0.06842315942049026, 0.008151012472808361, 0.029543789103627205, -0.009235887788236141, 0.037071920931339264, -0.012340481393039227, -0.10664860159158707, -0.06312087923288345, 0.02706480585038662, 0.014290410093963146, 0.06908102333545685, 0.018296075984835625, -0.004780805669724941, 0.08108130842447281, 0.13698536157608032, 0.024271439760923386, 0.05098659172654152, -0.0744357630610466, -0.007912088185548782, 0.04653718322515488, -0.0582914873957634, -0.05445432290434837, 0.04640757292509079, 0.0015326286666095257, -0.07375303655862808, -0.05378283932805061, 0.013806291855871677, 0.042731814086437225, -0.04455430805683136, -0.07810797542333603, -0.007429060991853476, -0.01915207877755165, -0.008055993355810642, -0.018825924023985863, 0.059819236397743225, 0.041755881160497665, -0.0009385859593749046, 0.005699210800230503, -0.15176323056221008, -0.02557441219687462 ]
null
null
null
null
null
null
null
[ 0.01791043020784855, 0.007750044576823711, -0.022726258262991905, 0.00373519747518003, 0.06755191087722778, -0.06819471716880798, 0.020396122708916664, -0.019273832440376282, -0.027730435132980347, -0.004345542285591364, -0.01205990370362997, -0.026655515655875206, -0.025761635974049568, 0.03825570270419121, -0.027756033465266228, 0.05270187556743622, 0.037150681018829346, -0.04553690552711487, 0.04550815746188164, -0.027275867760181427, 0.04456620290875435, -0.06087081506848335, -0.059016015380620956, -0.018392745405435562, -0.04277805984020233, 0.01005694642663002, -0.000379184348275885, -0.11181512475013733, -0.029503077268600464, 0.06092945486307144, 0.0058313230983912945, 0.04651779308915138, -0.1217585876584053, 0.0026701034512370825, -0.040504228323698044, 0.0017604478634893894, 0.05347025766968727, -0.07170563191175461, -0.021717695519328117, -0.054093167185783386, 0.026500700041651726, -0.033223748207092285, -0.016627809032797813, 0.002240590052679181, -0.0300625991076231, -0.03399984538555145, 0.0494789220392704, -0.04469309002161026, 0.04745211452245712, 0.012809786014258862, 0.02366729825735092, -0.003822448430582881, 0.017213890329003334, 0.026532083749771118, 0.08499087393283844, 0.07061188668012619, -0.05148440971970558, 0.01325993426144123, -0.031168479472398758, -0.01826491579413414, 0.05358739197254181, -0.0438557006418705, 0.04145549237728119, 0.021364472806453705, -0.02580849453806877, 0.09157552570104599, -0.00990231428295374, 0.03468463942408562, -0.007855369709432125, -0.06550728529691696, 0.02549441158771515, 0.04118625447154045, 0.05812783166766167, -0.026571953669190407, 0.05900619179010391, 0.03201768919825554, 0.12714579701423645, -0.003190389834344387, 0.0725618451833725, -0.08190581947565079, -0.06091417744755745, 0.022535067051649094, -0.026945067569613457, -0.03783577308058739, -0.07423265278339386, -0.01434912346303463, 0.0034746325109153986, -0.02243640646338463, -0.007423353847116232, -0.019381776452064514, 0.011759229004383087, -0.062253210693597794, -0.13352912664413452, -0.0027617421001195908, 0.027189236134290695, -0.049279071390628815, 0.02700738050043583, -0.08539221435785294, 0.04177168756723404, -0.041029371321201324, 0.04818393662571907, -0.03192619979381561, -0.02655179612338543, 0.044103894382715225, -0.024985186755657196, 0.015782538801431656, 0.03907238319516182, 0.019981395453214645, -0.13565842807292938, 0.01633835770189762, 0.01233584713190794, 0.053890377283096313, 0.027883712202310562, -0.018393857404589653, 0.03288545459508896, -0.05503203719854355, -0.0787958949804306, 0.05289864540100098, -0.012764290906488895, -0.0035611712373793125, -0.07779902219772339, 0.0172882042825222, -0.013654769398272038, 0.04487970843911171, 0.04921850934624672, 0.007969081401824951, -0.05767516419291496, 4.3975824064597494e-33, -0.053392279893159866, 0.1387452930212021, -0.04613015800714493, 0.0362698920071125, -0.0030446022283285856, -0.032828956842422485, 0.039565060287714005, 0.06301753222942352, -0.0042891837656497955, 0.09123197197914124, -0.015011179260909557, 0.011270430870354176, 0.018611593171954155, 0.03928518295288086, 0.08712698519229889, -0.0018666964024305344, 0.05614159628748894, -0.07593303918838501, -0.028042420744895935, 0.07725285738706589, -0.03231409192085266, -0.05453646555542946, -0.02328016236424446, 0.03812611475586891, 0.015465110540390015, 0.06812499463558197, -0.04025544598698616, -0.06662346422672272, -0.0485859178006649, -0.0046359095722436905, -0.049784280359745026, -0.0120663121342659, 0.021982576698064804, -0.0028513327706605196, -0.0030103849712759256, 0.001139225554652512, -0.013192391954362392, 0.031691618263721466, 0.00745814386755228, -0.0350627601146698, 0.10713382810354233, 0.03192906454205513, 0.11514853686094284, -0.021575378254055977, 0.0007525287219323218, -0.03136758878827095, -0.05794047564268112, -0.010185664519667625, 0.002176276408135891, -0.012637398205697536, 0.009082933887839317, -0.059412721544504166, 0.01321421843022108, -0.032643239945173264, 0.08909636735916138, -0.06598562747240067, -0.05416544899344444, -0.011923381127417088, 0.07871642708778381, 0.020785223692655563, 0.016783185303211212, -0.03824031725525856, -0.06458663940429688, 0.07979407161474228, -0.07826726138591766, 0.09756964445114136, 0.020173175260424614, -0.01639930158853531, -0.05576423183083534, 0.0015805457951501012, -0.07277548313140869, 0.0827130675315857, 0.11670047044754028, -0.11771644651889801, 0.07609181851148605, 0.005183250177651644, -0.003878900548443198, -0.06564713269472122, 0.11851616203784943, 0.006260978989303112, 0.018077276647090912, 0.02495894767343998, 0.10613159835338593, -0.04559909552335739, 0.02098779007792473, 0.02994276024401188, -0.029500890523195267, 0.013956909067928791, 0.022107776254415512, 0.052397098392248154, 0.006839157547801733, -0.07824704796075821, 0.05039631947875023, -0.055907223373651505, -0.07916539907455444, -5.057837012165489e-33, 0.04609018936753273, -0.012787006795406342, 0.06636343896389008, -0.04504537582397461, -0.02092551440000534, -0.014059385284781456, 0.03470321372151375, 0.03325881436467171, 0.050688691437244415, -0.003484544577077031, 0.05572117492556572, 0.07367848604917526, -0.0026139456313103437, -0.025174936279654503, -0.01535806618630886, -0.01858491264283657, 0.016067873686552048, -0.08082447946071625, 0.07124160975217819, -0.11739759892225266, 0.11079736799001694, 0.06176115199923515, -0.016783831641077995, -0.04285397380590439, -0.022341439500451088, -0.028628749772906303, 0.01405339129269123, 0.006523779593408108, 0.036714106798172, 0.061711035668849945, -0.06086397171020508, -0.023018736392259598, 0.061149246990680695, 0.07652383297681808, 0.05875592678785324, -0.013985875993967056, 0.024977749213576317, -0.017912864685058594, -0.02319532260298729, -0.01465948298573494, -0.02203940786421299, 0.1190892904996872, 0.003936160355806351, 0.027016015723347664, -0.048443835228681564, 0.04973716288805008, -0.052967533469200134, -0.007974764332175255, -0.010829049162566662, 0.04602993652224541, -0.009818393737077713, -0.0001630338520044461, -0.06918895989656448, -0.0020867851562798023, -0.0226630549877882, -0.0031202463433146477, -0.062233634293079376, 0.1005307212471962, -0.023987067863345146, -0.02589600160717964, 0.04318550229072571, -0.1141648143529892, 0.07034392654895782, -0.05804707109928131, 0.038362305611371994, -0.06849442422389984, 0.01544934418052435, 0.02456485480070114, 0.02107115276157856, 0.016641860827803612, 0.052266646176576614, -0.03093281202018261, -0.0814276784658432, -0.1189185231924057, 0.03801439329981804, 0.018358474597334862, -0.06815949827432632, -0.04871451482176781, 0.0787823349237442, 0.049186162650585175, -0.04964786767959595, -0.004540184047073126, -0.0013257133541628718, 0.07640671730041504, 0.11498066782951355, 0.0502302460372448, -0.047827962785959244, 0.07226189970970154, -0.015819260850548744, -0.024601366370916367, 0.013848941773176193, -0.057541631162166595, 0.1073332130908966, -0.08339172601699829, -0.007416391279548407, -5.1350941276950834e-8, -0.0549304373562336, 0.04258941113948822, -0.018141964450478554, -0.03248894587159157, -0.032332610338926315, -0.07188726961612701, -0.0350593738257885, -0.015146920457482338, 0.06826692074537277, -0.028888149186968803, 0.061347831040620804, -0.06016978248953819, -0.040792468935251236, -0.011341262608766556, 0.05855710431933403, 0.01136783417314291, -0.06663138419389725, -0.038069307804107666, 0.04290546476840973, -0.024088682606816292, -0.03629254549741745, 0.06247450038790703, 0.01908116601407528, -0.03707488998770714, 0.06842315942049026, 0.008151012472808361, 0.029543789103627205, -0.009235887788236141, 0.037071920931339264, -0.012340481393039227, -0.10664860159158707, -0.06312087923288345, 0.02706480585038662, 0.014290410093963146, 0.06908102333545685, 0.018296075984835625, -0.004780805669724941, 0.08108130842447281, 0.13698536157608032, 0.024271439760923386, 0.05098659172654152, -0.0744357630610466, -0.007912088185548782, 0.04653718322515488, -0.0582914873957634, -0.05445432290434837, 0.04640757292509079, 0.0015326286666095257, -0.07375303655862808, -0.05378283932805061, 0.013806291855871677, 0.042731814086437225, -0.04455430805683136, -0.07810797542333603, -0.007429060991853476, -0.01915207877755165, -0.008055993355810642, -0.018825924023985863, 0.059819236397743225, 0.041755881160497665, -0.0009385859593749046, 0.005699210800230503, -0.15176323056221008, -0.02557441219687462 ]
1402.0288
Gang Niu
Gang Niu, Bo Dai, Marthinus Christoffel du Plessis, and Masashi Sugiyama
Transductive Learning with Multi-class Volume Approximation
null
null
null
null
cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Given a hypothesis space, the large volume principle by Vladimir Vapnik prioritizes equivalence classes according to their volume in the hypothesis space. The volume approximation has hitherto been successfully applied to binary learning problems. In this paper, we extend it naturally to a more general definition which can be applied to several transductive problem settings, such as multi-class, multi-label and serendipitous learning. Even though the resultant learning method involves a non-convex optimization problem, the globally optimal solution is almost surely unique and can be obtained in O(n^3) time. We theoretically provide stability and error analyses for the proposed method, and then experimentally show that it is promising.
[ { "created": "Mon, 3 Feb 2014 06:09:52 GMT", "version": "v1" } ]
2014-02-04
[ [ "Niu", "Gang", "" ], [ "Dai", "Bo", "" ], [ "Plessis", "Marthinus Christoffel du", "" ], [ "Sugiyama", "Masashi", "" ] ]
[ 0.00469519617035985, -0.018268166109919548, 0.016757018864154816, -0.08841957151889801, -0.011394080705940723, 0.00780873978510499, 0.005868375301361084, 0.017490258440375328, 0.0058707199059426785, 0.041657302528619766, -0.05369587615132332, 0.021056465804576874, 0.06658563017845154, 0.060479745268821716, -0.058559030294418335, 0.048042960464954376, 0.05869169160723686, 0.055379047989845276, -0.05146889016032219, 0.03621206060051918, 0.03506385535001755, 0.03941996023058891, 0.032974276691675186, 0.06321854889392853, 0.028770990669727325, -0.020393269136548042, 0.035800132900476456, 0.026152266189455986, 0.024549346417188644, -0.037780992686748505, 0.021912405267357826, 0.02144910767674446, -0.03355058655142784, -0.06154024600982666, 0.006618143059313297, 0.009992572478950024, -0.03344259411096573, 0.02282535843551159, 0.006326918490231037, 0.1208118349313736, -0.021681519225239754, 0.03244616463780403, -0.007762381806969643, -0.015882980078458786, 0.026269784197211266, 0.09544399380683899, 0.0246689822524786, -0.06954703480005264, 0.04180039465427399, -0.05468525364995003, -0.00750698521733284, -0.021600641310214996, -0.07237621396780014, 0.07867667078971863, -0.05591094121336937, -0.03136983513832092, 0.07032444328069687, 0.021599212661385536, -0.020277556031942368, -0.009669219143688679, -0.030815603211522102, -0.08206290006637573, 0.02037397027015686, -0.012875361368060112, 0.060616835951805115, 0.042375944554805756, -0.03086690604686737, 0.054274968802928925, -0.09764411300420761, 0.11973267048597336, -0.022373368963599205, 0.09199897944927216, -0.10156933963298798, 0.05788841471076012, 0.01022481732070446, 0.0010510880965739489, 0.10603079199790955, 0.01758054830133915, -0.017498457804322243, 0.021360600367188454, -0.04854784905910492, 0.01791789010167122, -0.04720216616988182, -0.00024592626141384244, 0.0894995853304863, -0.042329203337430954, -0.06635589152574539, 0.0071840244345366955, -0.014141799882054329, -0.012880830094218254, -0.02587449923157692, -0.0026409970596432686, 0.000606523419264704, 0.02360253408551216, -0.03393758460879326, -0.08000622689723969, -0.01129355002194643, -0.02204062044620514, 0.08475051820278168, 0.09576331079006195, -0.08626338839530945, 0.014682644046843052, 0.07870505750179291, -0.023377643898129463, 0.07766956090927124, -0.022013282403349876, 0.02904326468706131, 0.019038783386349678, 0.10148273408412933, -0.1342151165008545, 0.04017949476838112, -0.06820400059223175, -0.011213942430913448, 0.055653687566518784, -0.05463426932692528, -0.0002534981758799404, 0.0640246644616127, -0.01254286989569664, -0.042911216616630554, -0.04830368980765343, -0.029854781925678253, -0.05755750462412834, 0.005639888346195221, 0.03602881729602814, -0.010830855928361416, -0.026014167815446854, -0.015281460247933865, 6.323658644792365e-34, 0.029486268758773804, -0.04134461656212807, 0.06441111117601395, -0.05789743363857269, 0.023848282173275948, 0.039217714220285416, 0.03326599299907684, 0.031265176832675934, 0.017044859007000923, -0.04707174003124237, 0.01654858887195587, 0.011176790110766888, 0.008569915778934956, 0.04774356633424759, 0.02066032402217388, -0.013326016254723072, 0.0026837768964469433, 0.10691210627555847, -0.02789817750453949, -0.1391325294971466, 0.04405158385634422, -0.04722873866558075, 0.0279568862169981, -0.06186267361044884, -0.04049094766378403, -0.02188120223581791, 0.017148884013295174, -0.01696062460541725, -0.030103301629424095, -0.0030993507243692875, -0.09157288819551468, 0.0006769558531232178, -0.040898460894823074, 0.04821346700191498, -0.01726796291768551, -0.016924196854233742, -0.03659963607788086, 0.009342484176158905, -0.0630238726735115, -0.0948343276977539, 0.0075444323010742664, 0.047531597316265106, 0.09775472432374954, -0.09692952781915665, 0.026242109015583992, 0.005163718946278095, -0.007062289863824844, 0.01388650294393301, -0.005523946601897478, -0.0718277096748352, 0.01924727112054825, -0.03942668437957764, -0.08601833134889603, -0.08953768759965897, 0.042138706892728806, 0.025952428579330444, -0.04110993444919586, 0.04243985936045647, 0.009405487217009068, 0.019067665562033653, -0.011749180033802986, 0.013051943853497505, 0.07262827455997467, 0.026964489370584488, -0.0018391722114756703, 0.15981857478618622, 0.0113348588347435, -0.0675068199634552, 0.17290359735488892, -0.06651496887207031, 0.0024749422445893288, 0.011743318289518356, -0.06763608753681183, -0.05310269072651863, 0.07087884098291397, -0.08772309124469757, 0.039493951946496964, -0.09818945080041885, 0.023361194878816605, 0.016974350437521935, -0.049800265580415726, -0.04965164512395859, -0.015494461171329021, -0.07040762901306152, -0.06301930546760559, -0.017097214236855507, 0.08669909089803696, -0.03591793030500412, -0.047716498374938965, -0.00767057528719306, -0.07321768999099731, 0.024531343951821327, -0.05622107535600662, -0.0035498798824846745, 0.04195597767829895, -2.1197401264920375e-33, -0.013854766264557838, -0.026729470118880272, 0.01726365089416504, 0.06254028528928757, -0.042469222098588943, -0.003612436819821596, -0.05870944261550903, 0.019454067572951317, -0.08287632465362549, 0.022720489650964737, -0.001345223281532526, 0.0023708969820290804, 0.0008302563219331205, -0.06963402777910233, -0.07168399542570114, 0.056616537272930145, -0.0022266225423663855, 0.019848419353365898, 0.06481528282165527, 0.02369065396487713, 0.015471330843865871, 0.06939157843589783, 0.007345319725573063, 0.041583865880966187, -0.02037699893116951, -0.02107369713485241, -0.0662982165813446, 0.09940210729837418, -0.0027578226290643215, 0.07090575248003006, -0.07146444171667099, -0.06790931522846222, -0.11024101078510284, -0.03491644933819771, -0.020516464486718178, 0.05972999706864357, 0.02341679111123085, 0.08948972076177597, -0.03709479793906212, 0.07906795293092728, -0.03341927006840706, -0.06734735518693924, -0.09335841238498688, -0.04342352971434593, 0.0028077382594347, -0.03548149764537811, 0.044923946261405945, 0.0007256705430336297, 0.05416736379265785, 0.02132423408329487, 0.028546463698148727, 0.013497536070644855, 0.022569095715880394, 0.02612762153148651, 0.00633091339841485, 0.0029333147685974836, -0.07607579231262207, 0.029607228934764862, 0.04089328646659851, -0.033657025545835495, -0.015136334113776684, 0.03244853392243385, 0.01382554229348898, 0.06744900345802307, 0.0010300222784280777, -0.013321596197783947, -0.048636164516210556, -0.005821019411087036, 0.00008601106674177572, 0.06347796320915222, -0.009207595139741898, 0.014014363288879395, 0.05197229981422424, -0.04361820966005325, -0.036742135882377625, 0.03595379367470741, 0.034810446202754974, 0.024495715275406837, -0.07595890015363693, 0.010862017050385475, 0.012624234892427921, -0.015528037212789059, 0.0948493704199791, 0.11151271313428879, -0.00249672238714993, 0.01237491425126791, 0.09912902861833572, 0.00998370535671711, 0.03714188188314438, -0.05947253480553627, -0.038105420768260956, 0.07285317033529282, 0.01717153750360012, -0.010950840078294277, -0.025537138804793358, -4.8301554755880716e-8, 0.0157916396856308, -0.03766080364584923, 0.0277843177318573, -0.04058005288243294, 0.06235826388001442, -0.011772741563618183, -0.12089674174785614, 0.07203705608844757, -0.11020059138536453, 0.04523574188351631, 0.020925085991621017, 0.06664571911096573, -0.009897449053823948, -0.019647110253572464, -0.07782886177301407, 0.029737871140241623, -0.01457545068114996, 0.01088610477745533, -0.012493031099438667, 0.03526460751891136, -0.005861672107130289, -0.004791914485394955, 0.08691620826721191, -0.048843178898096085, 0.01233693677932024, -0.06194987893104553, 0.024800583720207214, -0.0181364044547081, 0.10698804259300232, 0.0346732959151268, -0.0015983638586476445, 0.014955975115299225, 0.007410925347357988, 0.0072532519698143005, 0.0876704528927803, 0.08341970294713974, -0.04779806733131409, 0.013648046180605888, -0.10024593025445938, -0.061117157340049744, -0.056101419031620026, -0.008967195637524128, -0.056437455117702484, -0.03051122836768627, 0.11918101459741592, 0.06027199327945709, 0.0099842743948102, 0.003170022973790765, -0.06143819913268089, 0.0346904955804348, 0.006168021820485592, 0.08010847866535187, -0.028780944645404816, 0.05053066462278366, 0.07118504494428635, 0.02913825400173664, -0.027858654037117958, -0.10164831578731537, -0.05387532711029053, 0.0024623842909932137, 0.06886079907417297, 0.06244612857699394, -0.03342215716838837, -0.042518895119428635 ]
null
null
null
null
null
null
null
[ 0.00469519617035985, -0.018268166109919548, 0.016757018864154816, -0.08841957151889801, -0.011394080705940723, 0.00780873978510499, 0.005868375301361084, 0.017490258440375328, 0.0058707199059426785, 0.041657302528619766, -0.05369587615132332, 0.021056465804576874, 0.06658563017845154, 0.060479745268821716, -0.058559030294418335, 0.048042960464954376, 0.05869169160723686, 0.055379047989845276, -0.05146889016032219, 0.03621206060051918, 0.03506385535001755, 0.03941996023058891, 0.032974276691675186, 0.06321854889392853, 0.028770990669727325, -0.020393269136548042, 0.035800132900476456, 0.026152266189455986, 0.024549346417188644, -0.037780992686748505, 0.021912405267357826, 0.02144910767674446, -0.03355058655142784, -0.06154024600982666, 0.006618143059313297, 0.009992572478950024, -0.03344259411096573, 0.02282535843551159, 0.006326918490231037, 0.1208118349313736, -0.021681519225239754, 0.03244616463780403, -0.007762381806969643, -0.015882980078458786, 0.026269784197211266, 0.09544399380683899, 0.0246689822524786, -0.06954703480005264, 0.04180039465427399, -0.05468525364995003, -0.00750698521733284, -0.021600641310214996, -0.07237621396780014, 0.07867667078971863, -0.05591094121336937, -0.03136983513832092, 0.07032444328069687, 0.021599212661385536, -0.020277556031942368, -0.009669219143688679, -0.030815603211522102, -0.08206290006637573, 0.02037397027015686, -0.012875361368060112, 0.060616835951805115, 0.042375944554805756, -0.03086690604686737, 0.054274968802928925, -0.09764411300420761, 0.11973267048597336, -0.022373368963599205, 0.09199897944927216, -0.10156933963298798, 0.05788841471076012, 0.01022481732070446, 0.0010510880965739489, 0.10603079199790955, 0.01758054830133915, -0.017498457804322243, 0.021360600367188454, -0.04854784905910492, 0.01791789010167122, -0.04720216616988182, -0.00024592626141384244, 0.0894995853304863, -0.042329203337430954, -0.06635589152574539, 0.0071840244345366955, -0.014141799882054329, -0.012880830094218254, -0.02587449923157692, -0.0026409970596432686, 0.000606523419264704, 0.02360253408551216, -0.03393758460879326, -0.08000622689723969, -0.01129355002194643, -0.02204062044620514, 0.08475051820278168, 0.09576331079006195, -0.08626338839530945, 0.014682644046843052, 0.07870505750179291, -0.023377643898129463, 0.07766956090927124, -0.022013282403349876, 0.02904326468706131, 0.019038783386349678, 0.10148273408412933, -0.1342151165008545, 0.04017949476838112, -0.06820400059223175, -0.011213942430913448, 0.055653687566518784, -0.05463426932692528, -0.0002534981758799404, 0.0640246644616127, -0.01254286989569664, -0.042911216616630554, -0.04830368980765343, -0.029854781925678253, -0.05755750462412834, 0.005639888346195221, 0.03602881729602814, -0.010830855928361416, -0.026014167815446854, -0.015281460247933865, 6.323658644792365e-34, 0.029486268758773804, -0.04134461656212807, 0.06441111117601395, -0.05789743363857269, 0.023848282173275948, 0.039217714220285416, 0.03326599299907684, 0.031265176832675934, 0.017044859007000923, -0.04707174003124237, 0.01654858887195587, 0.011176790110766888, 0.008569915778934956, 0.04774356633424759, 0.02066032402217388, -0.013326016254723072, 0.0026837768964469433, 0.10691210627555847, -0.02789817750453949, -0.1391325294971466, 0.04405158385634422, -0.04722873866558075, 0.0279568862169981, -0.06186267361044884, -0.04049094766378403, -0.02188120223581791, 0.017148884013295174, -0.01696062460541725, -0.030103301629424095, -0.0030993507243692875, -0.09157288819551468, 0.0006769558531232178, -0.040898460894823074, 0.04821346700191498, -0.01726796291768551, -0.016924196854233742, -0.03659963607788086, 0.009342484176158905, -0.0630238726735115, -0.0948343276977539, 0.0075444323010742664, 0.047531597316265106, 0.09775472432374954, -0.09692952781915665, 0.026242109015583992, 0.005163718946278095, -0.007062289863824844, 0.01388650294393301, -0.005523946601897478, -0.0718277096748352, 0.01924727112054825, -0.03942668437957764, -0.08601833134889603, -0.08953768759965897, 0.042138706892728806, 0.025952428579330444, -0.04110993444919586, 0.04243985936045647, 0.009405487217009068, 0.019067665562033653, -0.011749180033802986, 0.013051943853497505, 0.07262827455997467, 0.026964489370584488, -0.0018391722114756703, 0.15981857478618622, 0.0113348588347435, -0.0675068199634552, 0.17290359735488892, -0.06651496887207031, 0.0024749422445893288, 0.011743318289518356, -0.06763608753681183, -0.05310269072651863, 0.07087884098291397, -0.08772309124469757, 0.039493951946496964, -0.09818945080041885, 0.023361194878816605, 0.016974350437521935, -0.049800265580415726, -0.04965164512395859, -0.015494461171329021, -0.07040762901306152, -0.06301930546760559, -0.017097214236855507, 0.08669909089803696, -0.03591793030500412, -0.047716498374938965, -0.00767057528719306, -0.07321768999099731, 0.024531343951821327, -0.05622107535600662, -0.0035498798824846745, 0.04195597767829895, -2.1197401264920375e-33, -0.013854766264557838, -0.026729470118880272, 0.01726365089416504, 0.06254028528928757, -0.042469222098588943, -0.003612436819821596, -0.05870944261550903, 0.019454067572951317, -0.08287632465362549, 0.022720489650964737, -0.001345223281532526, 0.0023708969820290804, 0.0008302563219331205, -0.06963402777910233, -0.07168399542570114, 0.056616537272930145, -0.0022266225423663855, 0.019848419353365898, 0.06481528282165527, 0.02369065396487713, 0.015471330843865871, 0.06939157843589783, 0.007345319725573063, 0.041583865880966187, -0.02037699893116951, -0.02107369713485241, -0.0662982165813446, 0.09940210729837418, -0.0027578226290643215, 0.07090575248003006, -0.07146444171667099, -0.06790931522846222, -0.11024101078510284, -0.03491644933819771, -0.020516464486718178, 0.05972999706864357, 0.02341679111123085, 0.08948972076177597, -0.03709479793906212, 0.07906795293092728, -0.03341927006840706, -0.06734735518693924, -0.09335841238498688, -0.04342352971434593, 0.0028077382594347, -0.03548149764537811, 0.044923946261405945, 0.0007256705430336297, 0.05416736379265785, 0.02132423408329487, 0.028546463698148727, 0.013497536070644855, 0.022569095715880394, 0.02612762153148651, 0.00633091339841485, 0.0029333147685974836, -0.07607579231262207, 0.029607228934764862, 0.04089328646659851, -0.033657025545835495, -0.015136334113776684, 0.03244853392243385, 0.01382554229348898, 0.06744900345802307, 0.0010300222784280777, -0.013321596197783947, -0.048636164516210556, -0.005821019411087036, 0.00008601106674177572, 0.06347796320915222, -0.009207595139741898, 0.014014363288879395, 0.05197229981422424, -0.04361820966005325, -0.036742135882377625, 0.03595379367470741, 0.034810446202754974, 0.024495715275406837, -0.07595890015363693, 0.010862017050385475, 0.012624234892427921, -0.015528037212789059, 0.0948493704199791, 0.11151271313428879, -0.00249672238714993, 0.01237491425126791, 0.09912902861833572, 0.00998370535671711, 0.03714188188314438, -0.05947253480553627, -0.038105420768260956, 0.07285317033529282, 0.01717153750360012, -0.010950840078294277, -0.025537138804793358, -4.8301554755880716e-8, 0.0157916396856308, -0.03766080364584923, 0.0277843177318573, -0.04058005288243294, 0.06235826388001442, -0.011772741563618183, -0.12089674174785614, 0.07203705608844757, -0.11020059138536453, 0.04523574188351631, 0.020925085991621017, 0.06664571911096573, -0.009897449053823948, -0.019647110253572464, -0.07782886177301407, 0.029737871140241623, -0.01457545068114996, 0.01088610477745533, -0.012493031099438667, 0.03526460751891136, -0.005861672107130289, -0.004791914485394955, 0.08691620826721191, -0.048843178898096085, 0.01233693677932024, -0.06194987893104553, 0.024800583720207214, -0.0181364044547081, 0.10698804259300232, 0.0346732959151268, -0.0015983638586476445, 0.014955975115299225, 0.007410925347357988, 0.0072532519698143005, 0.0876704528927803, 0.08341970294713974, -0.04779806733131409, 0.013648046180605888, -0.10024593025445938, -0.061117157340049744, -0.056101419031620026, -0.008967195637524128, -0.056437455117702484, -0.03051122836768627, 0.11918101459741592, 0.06027199327945709, 0.0099842743948102, 0.003170022973790765, -0.06143819913268089, 0.0346904955804348, 0.006168021820485592, 0.08010847866535187, -0.028780944645404816, 0.05053066462278366, 0.07118504494428635, 0.02913825400173664, -0.027858654037117958, -0.10164831578731537, -0.05387532711029053, 0.0024623842909932137, 0.06886079907417297, 0.06244612857699394, -0.03342215716838837, -0.042518895119428635 ]
1402.0289
Pranam Janney
Pranam Janney and Glenn Geers
A Robust Framework for Moving-Object Detection and Vehicular Traffic Density Estimation
null
null
null
null
cs.CV cs.RO cs.SY
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Intelligent machines require basic information such as moving-object detection from videos in order to deduce higher-level semantic information. In this paper, we propose a methodology that uses a texture measure to detect moving objects in video. The methodology is computationally inexpensive, requires minimal parameter fine-tuning and also is resilient to noise, illumination changes, dynamic background and low frame rate. Experimental results show that performance of the proposed approach is higher than those of state-of-the-art approaches. We also present a framework for vehicular traffic density estimation using the foreground object detection technique and present a comparison between the foreground object detection-based framework and the classical density state modelling-based framework for vehicular traffic density estimation.
[ { "created": "Mon, 3 Feb 2014 06:17:57 GMT", "version": "v1" } ]
2014-02-04
[ [ "Janney", "Pranam", "" ], [ "Geers", "Glenn", "" ] ]
[ 0.06204276904463768, -0.05667328089475632, -0.007742833346128464, -0.025362927466630936, 0.07841617614030838, 0.049116890877485275, 0.05809084698557854, -0.039831578731536865, -0.007014638744294643, -0.07195806503295898, -0.05653492361307144, -0.09194792062044144, 0.01464127842336893, 0.10809025913476944, -0.032527994364500046, 0.006795052904635668, 0.15576788783073425, 0.03080901689827442, -0.05413954704999924, -0.01469591073691845, 0.004894300829619169, 0.01513970922678709, 0.04128970950841904, -0.017768118530511856, 0.035461124032735825, 0.06011665239930153, 0.026865288615226746, -0.040531158447265625, 0.021513016894459724, -0.02007780410349369, 0.00851215049624443, -0.03437413275241852, 0.0355440229177475, 0.061407968401908875, -0.06099673733115196, -0.11585018783807755, 0.0060819401405751705, 0.005902714561671019, 0.01181530300527811, 0.0006984840729273856, -0.006594900973141193, -0.020263763144612312, -0.0066077820956707, 0.020574575290083885, 0.05091392993927002, 0.06499860435724258, 0.09895637631416321, 0.020931247621774673, 0.046003784984350204, -0.10445449501276016, 0.04857255890965462, -0.04211122915148735, 0.03388185426592827, -0.003541164565831423, -0.110009104013443, 0.030016731470823288, 0.015853896737098694, -0.01154764648526907, 0.031959034502506256, 0.03785749524831772, 0.05057777464389801, 0.02203594334423542, 0.08429675549268723, -0.014203187078237534, -0.03528285771608353, 0.0059638856910169125, 0.06535860151052475, -0.004377298057079315, -0.0013170624151825905, 0.010293718427419662, -0.07224813848733902, 0.11665746569633484, 0.07950185239315033, -0.020246850326657295, -0.009800130501389503, -0.07091787457466125, 0.033166561275720596, -0.062349192798137665, -0.012843498960137367, -0.13922253251075745, 0.003953123465180397, -0.06238618120551109, 0.05145161598920822, 0.03687118738889694, 0.07597389072179794, -0.007817153818905354, -0.040314655750989914, 0.0467253178358078, -0.07601840794086456, -0.044020578265190125, -0.05607828125357628, -0.03027033992111683, -0.024763185530900955, -0.0886458083987236, -0.014393012039363384, 0.022292468696832657, -0.035765569657087326, -0.09297864884138107, 0.06963875889778137, 0.055585503578186035, 0.007502096705138683, -0.050545550882816315, 0.07406512647867203, 0.022680914029479027, 0.052229829132556915, 0.0670490488409996, 0.026383576914668083, 0.0546741783618927, -0.013244629837572575, 0.048341743648052216, 0.10163994133472443, -0.01192267332226038, 0.017130160704255104, -0.03639442101120949, -0.10689864307641983, 0.0444951131939888, -0.012103528715670109, 0.05033727362751961, -0.04841018095612526, -0.05328524857759476, -0.053908538073301315, -0.08463692665100098, 0.015638794749975204, 0.011550145223736763, 0.0679282620549202, -0.055481452494859695, 0.02263045497238636, 1.8195572565294193e-33, -0.03011491894721985, -0.045471638441085815, -0.0018391658086329699, 0.043672747910022736, 0.014760500751435757, 0.0004986885469406843, -0.01817535050213337, -0.01587807759642601, 0.06333989650011063, 0.04034211486577988, -0.04192456975579262, 0.010258310474455357, 0.0041066124103963375, -0.05567840859293938, 0.020921925082802773, -0.004398135002702475, -0.0593048632144928, -0.005709661636501551, -0.031815074384212494, -0.03028162010014057, 0.009983865544199944, -0.03062480501830578, -0.012651396915316582, 0.007719617336988449, -0.017316212877631187, 0.028569193556904793, 0.05965343862771988, -0.01870468072593212, 0.08819577097892761, 0.009688436053693295, -0.025438938289880753, 0.06935705244541168, -0.04237285256385803, 0.07882297784090042, 0.038274962455034256, -0.06860091537237167, -0.12306999415159225, 0.000940270721912384, 0.0005763613153249025, -0.049688342958688736, 0.040064454078674316, -0.017160598188638687, -0.05238741636276245, -0.047533731907606125, -0.04807627201080322, 0.01325092650949955, 0.10005831718444824, 0.009072684682905674, -0.06414781510829926, 0.07220939546823502, 0.06734270602464676, -0.10261672735214233, -0.005382867529988289, -0.02825978584587574, -0.057384390383958817, 0.04482110217213631, 0.06811311095952988, 0.08249793946743011, -0.0035766742657870054, -0.0008491369080729783, -0.06330778449773788, 0.027943484485149384, 0.02627735771238804, 0.015950996428728104, 0.02981795184314251, 0.0030599553138017654, -0.020437907427549362, 0.043034449219703674, -0.0312674343585968, 0.05239744856953621, 0.09980348497629166, 0.10297421365976334, 0.040386635810136795, -0.026135098189115524, 0.10673226416110992, 0.030207229778170586, 0.02546703815460205, -0.022716550156474113, -0.10506395995616913, 0.020186644047498703, -0.03952570632100105, 0.0500463992357254, 0.0635422021150589, -0.09080292284488678, 0.1152012050151825, 0.08528243750333786, 0.01038963720202446, 0.027168838307261467, 0.023902125656604767, 0.021171757951378822, -0.026236120611429214, -0.05233224481344223, -0.029092684388160706, -0.006584235932677984, 0.004564540460705757, -7.43993195756221e-34, 0.007996471598744392, 0.04234008863568306, 0.011768731288611889, 0.066834956407547, 0.06116756051778793, -0.05934158340096474, 0.025968216359615326, 0.04914536327123642, 0.055302944034338, -0.02638508938252926, -0.0113161476328969, 0.000820823828689754, -0.0070929983630776405, 0.01888994500041008, 0.019746990874409676, -0.07247047126293182, -0.07337983697652817, -0.03679652884602547, -0.11049579083919525, -0.009014393202960491, -0.14363493025302887, -0.012057657353579998, -0.026414847001433372, -0.007907465100288391, -0.08321864902973175, 0.012079090811312199, -0.04909820482134819, 0.06574152410030365, -0.0075315129943192005, -0.0030422478448599577, -0.0048918938264250755, -0.03698672354221344, 0.015389489941298962, -0.03214232623577118, -0.05840770900249481, -0.02744504064321518, 0.039684757590293884, 0.015030181966722012, -0.11898939311504364, 0.02109566517174244, -0.05331544205546379, -0.030998634174466133, -0.01934150792658329, -0.04114791750907898, -0.0495586171746254, 0.005352858919650316, -0.01658654399216175, 0.00506805581972003, -0.013821431435644627, -0.02424352429807186, 0.023223476484417915, 0.02338990941643715, -0.07878945022821426, 0.07371412217617035, 0.031596072018146515, 0.12484055757522583, -0.022812852635979652, 0.0722830668091774, -0.0023695596028119326, 0.06544452905654907, -0.02135067619383335, -0.01716054417192936, -0.0816446989774704, 0.015792060643434525, 0.026201743632555008, -0.07183946669101715, -0.07627185434103012, -0.01353881973773241, -0.04956646263599396, 0.07051311433315277, 0.061813317239284515, 0.02963818982243538, -0.030958345159888268, 0.10902135074138641, -0.002535310573875904, -0.037264615297317505, 0.0496993362903595, -0.026258375495672226, 0.10598236322402954, 0.04480713605880737, 0.04317312687635422, -0.10426611453294754, 0.027143031358718872, 0.065331369638443, -0.011790461838245392, 0.036631349474191666, -0.035641998052597046, -0.08110947161912918, 0.02450345829129219, 0.004693360533565283, -0.030975252389907837, 0.03658348694443703, -0.013849162496626377, 0.031431157141923904, -0.03847379982471466, -4.0667998746357625e-8, 0.004042809829115868, 0.018220802769064903, -0.032640114426612854, -0.06844645738601685, -0.013529048301279545, 0.05000131577253342, 0.039742499589920044, 0.0441565066576004, -0.04207996651530266, -0.03349790722131729, 0.025225000455975533, -0.030570758506655693, 0.020658371970057487, 0.030285177752375603, -0.029837751761078835, -0.004165079444646835, 0.020462606102228165, -0.044742804020643234, 0.0035904250107705593, 0.0683685690164566, 0.028718678280711174, -0.0009115732391364872, -0.018290938809514046, 0.04707984998822212, 0.023511391133069992, -0.03322811424732208, 0.046801891177892685, 0.08350586891174316, 0.002229795092716813, -0.07243306189775467, -0.016451165080070496, 0.0758948102593422, 0.028525803238153458, 0.0029380221385508776, 0.06202034279704094, 0.018008965998888016, -0.03001341037452221, 0.023936670273542404, 0.00681709498167038, 0.03710240498185158, 0.05246498063206673, -0.026994945481419563, -0.0069204592145979404, -0.023553943261504173, 0.029938308522105217, 0.10353239625692368, 0.013784135691821575, -0.06892526894807816, -0.067716084420681, -0.018473871052265167, 0.08607872575521469, -0.049797505140304565, -0.05922704190015793, 0.10458448529243469, -0.03123270720243454, -0.13337871432304382, 0.04720494896173477, -0.02028486505150795, 0.021313831210136414, 0.08103487640619278, -0.04130574315786362, 0.06886877119541168, 0.03833440691232681, -0.012220476754009724 ]
null
null
null
null
null
null
null
[ 0.06204276904463768, -0.05667328089475632, -0.007742833346128464, -0.025362927466630936, 0.07841617614030838, 0.049116890877485275, 0.05809084698557854, -0.039831578731536865, -0.007014638744294643, -0.07195806503295898, -0.05653492361307144, -0.09194792062044144, 0.01464127842336893, 0.10809025913476944, -0.032527994364500046, 0.006795052904635668, 0.15576788783073425, 0.03080901689827442, -0.05413954704999924, -0.01469591073691845, 0.004894300829619169, 0.01513970922678709, 0.04128970950841904, -0.017768118530511856, 0.035461124032735825, 0.06011665239930153, 0.026865288615226746, -0.040531158447265625, 0.021513016894459724, -0.02007780410349369, 0.00851215049624443, -0.03437413275241852, 0.0355440229177475, 0.061407968401908875, -0.06099673733115196, -0.11585018783807755, 0.0060819401405751705, 0.005902714561671019, 0.01181530300527811, 0.0006984840729273856, -0.006594900973141193, -0.020263763144612312, -0.0066077820956707, 0.020574575290083885, 0.05091392993927002, 0.06499860435724258, 0.09895637631416321, 0.020931247621774673, 0.046003784984350204, -0.10445449501276016, 0.04857255890965462, -0.04211122915148735, 0.03388185426592827, -0.003541164565831423, -0.110009104013443, 0.030016731470823288, 0.015853896737098694, -0.01154764648526907, 0.031959034502506256, 0.03785749524831772, 0.05057777464389801, 0.02203594334423542, 0.08429675549268723, -0.014203187078237534, -0.03528285771608353, 0.0059638856910169125, 0.06535860151052475, -0.004377298057079315, -0.0013170624151825905, 0.010293718427419662, -0.07224813848733902, 0.11665746569633484, 0.07950185239315033, -0.020246850326657295, -0.009800130501389503, -0.07091787457466125, 0.033166561275720596, -0.062349192798137665, -0.012843498960137367, -0.13922253251075745, 0.003953123465180397, -0.06238618120551109, 0.05145161598920822, 0.03687118738889694, 0.07597389072179794, -0.007817153818905354, -0.040314655750989914, 0.0467253178358078, -0.07601840794086456, -0.044020578265190125, -0.05607828125357628, -0.03027033992111683, -0.024763185530900955, -0.0886458083987236, -0.014393012039363384, 0.022292468696832657, -0.035765569657087326, -0.09297864884138107, 0.06963875889778137, 0.055585503578186035, 0.007502096705138683, -0.050545550882816315, 0.07406512647867203, 0.022680914029479027, 0.052229829132556915, 0.0670490488409996, 0.026383576914668083, 0.0546741783618927, -0.013244629837572575, 0.048341743648052216, 0.10163994133472443, -0.01192267332226038, 0.017130160704255104, -0.03639442101120949, -0.10689864307641983, 0.0444951131939888, -0.012103528715670109, 0.05033727362751961, -0.04841018095612526, -0.05328524857759476, -0.053908538073301315, -0.08463692665100098, 0.015638794749975204, 0.011550145223736763, 0.0679282620549202, -0.055481452494859695, 0.02263045497238636, 1.8195572565294193e-33, -0.03011491894721985, -0.045471638441085815, -0.0018391658086329699, 0.043672747910022736, 0.014760500751435757, 0.0004986885469406843, -0.01817535050213337, -0.01587807759642601, 0.06333989650011063, 0.04034211486577988, -0.04192456975579262, 0.010258310474455357, 0.0041066124103963375, -0.05567840859293938, 0.020921925082802773, -0.004398135002702475, -0.0593048632144928, -0.005709661636501551, -0.031815074384212494, -0.03028162010014057, 0.009983865544199944, -0.03062480501830578, -0.012651396915316582, 0.007719617336988449, -0.017316212877631187, 0.028569193556904793, 0.05965343862771988, -0.01870468072593212, 0.08819577097892761, 0.009688436053693295, -0.025438938289880753, 0.06935705244541168, -0.04237285256385803, 0.07882297784090042, 0.038274962455034256, -0.06860091537237167, -0.12306999415159225, 0.000940270721912384, 0.0005763613153249025, -0.049688342958688736, 0.040064454078674316, -0.017160598188638687, -0.05238741636276245, -0.047533731907606125, -0.04807627201080322, 0.01325092650949955, 0.10005831718444824, 0.009072684682905674, -0.06414781510829926, 0.07220939546823502, 0.06734270602464676, -0.10261672735214233, -0.005382867529988289, -0.02825978584587574, -0.057384390383958817, 0.04482110217213631, 0.06811311095952988, 0.08249793946743011, -0.0035766742657870054, -0.0008491369080729783, -0.06330778449773788, 0.027943484485149384, 0.02627735771238804, 0.015950996428728104, 0.02981795184314251, 0.0030599553138017654, -0.020437907427549362, 0.043034449219703674, -0.0312674343585968, 0.05239744856953621, 0.09980348497629166, 0.10297421365976334, 0.040386635810136795, -0.026135098189115524, 0.10673226416110992, 0.030207229778170586, 0.02546703815460205, -0.022716550156474113, -0.10506395995616913, 0.020186644047498703, -0.03952570632100105, 0.0500463992357254, 0.0635422021150589, -0.09080292284488678, 0.1152012050151825, 0.08528243750333786, 0.01038963720202446, 0.027168838307261467, 0.023902125656604767, 0.021171757951378822, -0.026236120611429214, -0.05233224481344223, -0.029092684388160706, -0.006584235932677984, 0.004564540460705757, -7.43993195756221e-34, 0.007996471598744392, 0.04234008863568306, 0.011768731288611889, 0.066834956407547, 0.06116756051778793, -0.05934158340096474, 0.025968216359615326, 0.04914536327123642, 0.055302944034338, -0.02638508938252926, -0.0113161476328969, 0.000820823828689754, -0.0070929983630776405, 0.01888994500041008, 0.019746990874409676, -0.07247047126293182, -0.07337983697652817, -0.03679652884602547, -0.11049579083919525, -0.009014393202960491, -0.14363493025302887, -0.012057657353579998, -0.026414847001433372, -0.007907465100288391, -0.08321864902973175, 0.012079090811312199, -0.04909820482134819, 0.06574152410030365, -0.0075315129943192005, -0.0030422478448599577, -0.0048918938264250755, -0.03698672354221344, 0.015389489941298962, -0.03214232623577118, -0.05840770900249481, -0.02744504064321518, 0.039684757590293884, 0.015030181966722012, -0.11898939311504364, 0.02109566517174244, -0.05331544205546379, -0.030998634174466133, -0.01934150792658329, -0.04114791750907898, -0.0495586171746254, 0.005352858919650316, -0.01658654399216175, 0.00506805581972003, -0.013821431435644627, -0.02424352429807186, 0.023223476484417915, 0.02338990941643715, -0.07878945022821426, 0.07371412217617035, 0.031596072018146515, 0.12484055757522583, -0.022812852635979652, 0.0722830668091774, -0.0023695596028119326, 0.06544452905654907, -0.02135067619383335, -0.01716054417192936, -0.0816446989774704, 0.015792060643434525, 0.026201743632555008, -0.07183946669101715, -0.07627185434103012, -0.01353881973773241, -0.04956646263599396, 0.07051311433315277, 0.061813317239284515, 0.02963818982243538, -0.030958345159888268, 0.10902135074138641, -0.002535310573875904, -0.037264615297317505, 0.0496993362903595, -0.026258375495672226, 0.10598236322402954, 0.04480713605880737, 0.04317312687635422, -0.10426611453294754, 0.027143031358718872, 0.065331369638443, -0.011790461838245392, 0.036631349474191666, -0.035641998052597046, -0.08110947161912918, 0.02450345829129219, 0.004693360533565283, -0.030975252389907837, 0.03658348694443703, -0.013849162496626377, 0.031431157141923904, -0.03847379982471466, -4.0667998746357625e-8, 0.004042809829115868, 0.018220802769064903, -0.032640114426612854, -0.06844645738601685, -0.013529048301279545, 0.05000131577253342, 0.039742499589920044, 0.0441565066576004, -0.04207996651530266, -0.03349790722131729, 0.025225000455975533, -0.030570758506655693, 0.020658371970057487, 0.030285177752375603, -0.029837751761078835, -0.004165079444646835, 0.020462606102228165, -0.044742804020643234, 0.0035904250107705593, 0.0683685690164566, 0.028718678280711174, -0.0009115732391364872, -0.018290938809514046, 0.04707984998822212, 0.023511391133069992, -0.03322811424732208, 0.046801891177892685, 0.08350586891174316, 0.002229795092716813, -0.07243306189775467, -0.016451165080070496, 0.0758948102593422, 0.028525803238153458, 0.0029380221385508776, 0.06202034279704094, 0.018008965998888016, -0.03001341037452221, 0.023936670273542404, 0.00681709498167038, 0.03710240498185158, 0.05246498063206673, -0.026994945481419563, -0.0069204592145979404, -0.023553943261504173, 0.029938308522105217, 0.10353239625692368, 0.013784135691821575, -0.06892526894807816, -0.067716084420681, -0.018473871052265167, 0.08607872575521469, -0.049797505140304565, -0.05922704190015793, 0.10458448529243469, -0.03123270720243454, -0.13337871432304382, 0.04720494896173477, -0.02028486505150795, 0.021313831210136414, 0.08103487640619278, -0.04130574315786362, 0.06886877119541168, 0.03833440691232681, -0.012220476754009724 ]
1402.0292
J\"urgen M\"unch
Victor Basili, Jens Heidrich, Mikael Lindvall, J\"urgen M\"unch, Myrna Regardie, Dieter Rombach, Carolyn Seaman, Adam Trendowicz
GQM+Strategies: A Comprehensive Methodology for Aligning Business Strategies with Software Measurement
14 pages
Proceedings of the DASMA Software Metric Congress (MetriKon 2007): Magdeburger Schriften zum Empirischen Software Engineering, pages 253-266, Kaiserslautern, Germany, November 15-16 2007
null
null
cs.SE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In software-intensive organizations, an organizational management system will not guarantee organizational success unless the business strategy can be translated into a set of operational software goals. The Goal Question Metric (GQM) approach has proven itself useful in a variety of industrial settings to support quantitative software project management. However, it does not address linking software measurement goals to higher-level goals of the organization in which the software is being developed. This linkage is important, as it helps to justify software measurement efforts and allows measurement data to contribute to higher-level decisions. In this paper, we propose a GQM+Strategies(R) measurement approach that builds on the GQM approach to plan and implement software measurement. GQM+Strategies(R) provides mechanisms for explicitly linking software measurement goals to higher-level goals for the software organization, and further to goals and strategies at the level of the entire business. The proposed method is illustrated in the context of an example application of the method.
[ { "created": "Mon, 3 Feb 2014 06:32:53 GMT", "version": "v1" } ]
2014-02-04
[ [ "Basili", "Victor", "" ], [ "Heidrich", "Jens", "" ], [ "Lindvall", "Mikael", "" ], [ "Münch", "Jürgen", "" ], [ "Regardie", "Myrna", "" ], [ "Rombach", "Dieter", "" ], [ "Seaman", "Carolyn", "" ], [ "Trendowicz", "Adam", "" ] ]
[ -0.01624133065342903, 0.005473851691931486, -0.028586843982338905, -0.028143933042883873, -0.03054087981581688, -0.0456191748380661, 0.039616264402866364, 0.06751535087823868, 0.020554540678858757, -0.0034441386815160513, -0.07861694693565369, -0.08782808482646942, 0.1074892058968544, -0.002859267871826887, 0.0455675832927227, 0.02077804133296013, 0.03232072293758392, -0.034098271280527115, -0.01899092271924019, -0.08450116217136383, 0.04250164330005646, -0.006843219045549631, 0.06646977365016937, 0.02827386185526848, 0.0023297590669244528, 0.0062233200296759605, -0.028440799564123154, 0.005466347094625235, 0.002509513171389699, 0.02399027720093727, 0.0032142684794962406, 0.012879769317805767, 0.035882461816072464, 0.05856354162096977, 0.0022002290934324265, 0.04055817425251007, -0.04381067305803299, -0.06708092987537384, -0.01682853512465954, -0.048336293548345566, -0.12570762634277344, 0.028597738593816757, 0.04223358631134033, -0.036336660385131836, -0.009244403801858425, -0.04871515929698944, -0.022755969315767288, -0.01025315746665001, -0.08887872099876404, 0.02989579178392887, -0.08155912905931473, -0.04083294793963432, -0.060469064861536026, 0.012935515493154526, 0.12390964478254318, 0.13117380440235138, 0.0026155917439609766, -0.022486750036478043, -0.04758366942405701, -0.05206223204731941, -0.06717627495527267, -0.04856428876519203, -0.05751810595393181, 0.006542187184095383, -0.04440419003367424, 0.04435081034898758, 0.02211657725274563, 0.052058249711990356, -0.04682200029492378, 0.04645824059844017, -0.014516577124595642, -0.0404183529317379, -0.027081536129117012, -0.02033829689025879, -0.0639881044626236, 0.0382641963660717, -0.05655677989125252, 0.12241758406162262, -0.016458159312605858, 0.007947029545903206, 0.0074396501295268536, 0.05405794456601143, -0.03018668293952942, 0.14406608045101166, 0.018704663962125778, 0.05808084458112717, 0.07020879536867142, -0.01833864487707615, 0.04362471401691437, 0.02430204674601555, -0.043794192373752594, -0.0014655423583462834, -0.011297936551272869, 0.014263711869716644, -0.01701369136571884, -0.02489013597369194, 0.05556691810488701, -0.07289741933345795, 0.016658222302794456, 0.01475390512496233, 0.01701674610376358, 0.047414276748895645, 0.018650304526090622, -0.08024697005748749, -0.01494179293513298, -0.01374451257288456, 0.07108854502439499, 0.04808671772480011, 0.06218625232577324, -0.029864976182579994, -0.00543337594717741, -0.08099351823329926, 0.04642016068100929, -0.11349323391914368, 0.03754318878054619, -0.02882244996726513, -0.017160018905997276, 0.08371087908744812, -0.013059133663773537, 0.022689318284392357, 0.019815457984805107, 0.025130288675427437, 0.03099864162504673, -0.05512218177318573, -0.0013795800041407347, 0.06603702157735825, -0.046472929418087006, 9.5812074160678e-34, 0.010545284487307072, -0.01532838586717844, 0.049247611314058304, 0.02401464618742466, 0.03163100779056549, -0.00946685578674078, -0.009278838522732258, 0.09145023673772812, 0.0163668692111969, 0.005855068564414978, -0.003342267358675599, 0.07535487413406372, -0.07509566098451614, -0.020482566207647324, 0.15196914970874786, 0.01797783561050892, -0.09857604652643204, 0.10771504789590836, 0.009531887248158455, -0.021164273843169212, 0.013739005662500858, -0.10237014293670654, 0.021567489951848984, 0.0008192895911633968, 0.15742698311805725, 0.03486615791916847, 0.010497413575649261, 0.01077594980597496, -0.09293019771575928, -0.012058911845088005, 0.07677783817052841, 0.000050797152653103694, -0.008656121790409088, -0.05480127036571503, -0.02924605831503868, 0.011926217004656792, -0.11565563827753067, -0.022075800225138664, 0.0024872017093002796, 0.02005360834300518, -0.007853608578443527, -0.0067396932281553745, 0.003124679671600461, -0.009637572802603245, -0.004843292757868767, -0.04397734999656677, -0.019555509090423584, -0.07547523826360703, 0.07662016898393631, -0.019430287182331085, 0.059244994074106216, -0.048495613038539886, 0.13238218426704407, 0.031033147126436234, -0.02463003434240818, -0.010020682588219643, 0.006664866115897894, -0.05550054833292961, -0.03075452335178852, 0.0504896380007267, -0.07923535257577896, -0.040554579347372055, 0.022591227665543556, 0.008327563293278217, -0.0134572209790349, 0.08349058032035828, -0.027627408504486084, 0.009393219836056232, 0.09110596776008606, 0.04999493435025215, 0.013275769539177418, -0.07930583506822586, 0.02066119946539402, -0.0023910668678581715, 0.0033006463199853897, -0.03918927535414696, 0.001933867926709354, -0.03208146616816521, 0.032680608332157135, -0.009840975515544415, -0.0829186737537384, 0.06178314611315727, 0.06941200792789459, -0.06534978747367859, 0.029314270243048668, 0.020847216248512268, 0.05001598596572876, 0.03645101934671402, -0.08680828660726547, 0.04166107252240181, -0.08261752128601074, 0.022130433470010757, -0.056196294724941254, 0.07031058520078659, -0.0014823675155639648, -2.1862501478745394e-33, 0.006516371853649616, -0.02820441499352455, -0.024146297946572304, 0.02691132202744484, 0.02639676444232464, -0.06245550513267517, -0.05662314593791962, -0.05965343862771988, 0.019070222973823547, 0.05306614935398102, -0.05962977930903435, -0.05819639936089516, -0.026467926800251007, 0.05574004724621773, -0.028758082538843155, -0.029023822396993637, 0.053421635180711746, -0.0831868126988411, -0.023516228422522545, 0.0058023929595947266, -0.017743123695254326, 0.011389010585844517, -0.05304712429642677, -0.04122785106301308, 0.08220288157463074, -0.013174593448638916, 0.023852761834859848, -0.08834894001483917, 0.05712291970849037, -0.07961217314004898, 0.07197153568267822, -0.06406252086162567, -0.04911057651042938, -0.03977062553167343, 0.040267977863550186, -0.04909057170152664, 0.02714831754565239, -0.07322905957698822, 0.005753973498940468, 0.06570248305797577, 0.04389417916536331, -0.10212215781211853, -0.0046844398602843285, 0.024015264585614204, 0.029835794121026993, 0.0638522207736969, 0.038325149565935135, -0.025008566677570343, -0.02065647765994072, -0.07461443543434143, 0.0009793922072276473, 0.011213816702365875, 0.031194714829325676, 0.01899772509932518, -0.004073236603289843, 0.018105747178196907, -0.03247248753905296, 0.006317570339888334, 0.04207438975572586, 0.037305720150470734, 0.0309723149985075, -0.020769383758306503, 0.06154320389032364, 0.03224676102399826, -0.037458986043930054, 0.11765731126070023, 0.05064619332551956, 0.026874592527747154, -0.07663299143314362, -0.014313308522105217, -0.024557707831263542, -0.009471185505390167, -0.018364569172263145, 0.030709726735949516, -0.08006229251623154, -0.0009164540097117424, -0.02561473473906517, -0.09552343189716339, -0.03754789009690285, -0.0655112937092781, 0.03344687446951866, -0.006268966477364302, -0.019285961985588074, 0.05808297172188759, -0.07724102586507797, -0.038090333342552185, 0.038748469203710556, 0.0602419413626194, -0.015580026432871819, 0.03904112055897713, -0.09886036813259125, -0.018076321110129356, -0.06857869029045105, -0.0008685843786224723, -0.05160604044795036, -4.085268656695007e-8, -0.062267910689115524, -0.002382214879617095, 0.014671728014945984, 0.04161345213651657, 0.052382249385118484, 0.09451326727867126, -0.08422490954399109, 0.03871427848935127, 0.03648962453007698, 0.016529938206076622, 0.026432638987898827, -0.047058962285518646, -0.12176737189292908, 0.10563170164823532, 0.0033736038021743298, -0.025384794920682907, -0.016256464645266533, 0.08762834221124649, -0.01342777069658041, -0.04666857048869133, 0.010947220958769321, 0.0754418820142746, -0.010930630378425121, -0.0007735865656286478, 0.026138857007026672, -0.08081997185945511, 0.04891880974173546, 0.11144769191741943, 0.058746837079524994, 0.0012522063916549087, 0.09873349219560623, 0.035199664533138275, 0.031904835253953934, 0.06827858090400696, -0.017491646111011505, -0.022730566561222076, -0.0009754259954206645, 0.11077933758497238, 0.10044144093990326, -0.023449989035725594, -0.05655511096119881, 0.046221774071455, 0.020931301638484, 0.08700486272573471, -0.017706725746393204, -0.0459427572786808, -0.07870934903621674, -0.0039723096415400505, -0.05256674066185951, -0.07887806743383408, 0.02879169210791588, 0.009294102899730206, -0.04271173104643822, 0.06587916612625122, -0.02858264185488224, -0.025374120101332664, 0.03921014815568924, -0.04979966953396797, -0.00468567805364728, -0.027258368209004402, 0.009710508398711681, -0.043496180325746536, -0.017868535593152046, 0.04354182630777359 ]
null
null
null
null
null
null
null
[ -0.01624133065342903, 0.005473851691931486, -0.028586843982338905, -0.028143933042883873, -0.03054087981581688, -0.0456191748380661, 0.039616264402866364, 0.06751535087823868, 0.020554540678858757, -0.0034441386815160513, -0.07861694693565369, -0.08782808482646942, 0.1074892058968544, -0.002859267871826887, 0.0455675832927227, 0.02077804133296013, 0.03232072293758392, -0.034098271280527115, -0.01899092271924019, -0.08450116217136383, 0.04250164330005646, -0.006843219045549631, 0.06646977365016937, 0.02827386185526848, 0.0023297590669244528, 0.0062233200296759605, -0.028440799564123154, 0.005466347094625235, 0.002509513171389699, 0.02399027720093727, 0.0032142684794962406, 0.012879769317805767, 0.035882461816072464, 0.05856354162096977, 0.0022002290934324265, 0.04055817425251007, -0.04381067305803299, -0.06708092987537384, -0.01682853512465954, -0.048336293548345566, -0.12570762634277344, 0.028597738593816757, 0.04223358631134033, -0.036336660385131836, -0.009244403801858425, -0.04871515929698944, -0.022755969315767288, -0.01025315746665001, -0.08887872099876404, 0.02989579178392887, -0.08155912905931473, -0.04083294793963432, -0.060469064861536026, 0.012935515493154526, 0.12390964478254318, 0.13117380440235138, 0.0026155917439609766, -0.022486750036478043, -0.04758366942405701, -0.05206223204731941, -0.06717627495527267, -0.04856428876519203, -0.05751810595393181, 0.006542187184095383, -0.04440419003367424, 0.04435081034898758, 0.02211657725274563, 0.052058249711990356, -0.04682200029492378, 0.04645824059844017, -0.014516577124595642, -0.0404183529317379, -0.027081536129117012, -0.02033829689025879, -0.0639881044626236, 0.0382641963660717, -0.05655677989125252, 0.12241758406162262, -0.016458159312605858, 0.007947029545903206, 0.0074396501295268536, 0.05405794456601143, -0.03018668293952942, 0.14406608045101166, 0.018704663962125778, 0.05808084458112717, 0.07020879536867142, -0.01833864487707615, 0.04362471401691437, 0.02430204674601555, -0.043794192373752594, -0.0014655423583462834, -0.011297936551272869, 0.014263711869716644, -0.01701369136571884, -0.02489013597369194, 0.05556691810488701, -0.07289741933345795, 0.016658222302794456, 0.01475390512496233, 0.01701674610376358, 0.047414276748895645, 0.018650304526090622, -0.08024697005748749, -0.01494179293513298, -0.01374451257288456, 0.07108854502439499, 0.04808671772480011, 0.06218625232577324, -0.029864976182579994, -0.00543337594717741, -0.08099351823329926, 0.04642016068100929, -0.11349323391914368, 0.03754318878054619, -0.02882244996726513, -0.017160018905997276, 0.08371087908744812, -0.013059133663773537, 0.022689318284392357, 0.019815457984805107, 0.025130288675427437, 0.03099864162504673, -0.05512218177318573, -0.0013795800041407347, 0.06603702157735825, -0.046472929418087006, 9.5812074160678e-34, 0.010545284487307072, -0.01532838586717844, 0.049247611314058304, 0.02401464618742466, 0.03163100779056549, -0.00946685578674078, -0.009278838522732258, 0.09145023673772812, 0.0163668692111969, 0.005855068564414978, -0.003342267358675599, 0.07535487413406372, -0.07509566098451614, -0.020482566207647324, 0.15196914970874786, 0.01797783561050892, -0.09857604652643204, 0.10771504789590836, 0.009531887248158455, -0.021164273843169212, 0.013739005662500858, -0.10237014293670654, 0.021567489951848984, 0.0008192895911633968, 0.15742698311805725, 0.03486615791916847, 0.010497413575649261, 0.01077594980597496, -0.09293019771575928, -0.012058911845088005, 0.07677783817052841, 0.000050797152653103694, -0.008656121790409088, -0.05480127036571503, -0.02924605831503868, 0.011926217004656792, -0.11565563827753067, -0.022075800225138664, 0.0024872017093002796, 0.02005360834300518, -0.007853608578443527, -0.0067396932281553745, 0.003124679671600461, -0.009637572802603245, -0.004843292757868767, -0.04397734999656677, -0.019555509090423584, -0.07547523826360703, 0.07662016898393631, -0.019430287182331085, 0.059244994074106216, -0.048495613038539886, 0.13238218426704407, 0.031033147126436234, -0.02463003434240818, -0.010020682588219643, 0.006664866115897894, -0.05550054833292961, -0.03075452335178852, 0.0504896380007267, -0.07923535257577896, -0.040554579347372055, 0.022591227665543556, 0.008327563293278217, -0.0134572209790349, 0.08349058032035828, -0.027627408504486084, 0.009393219836056232, 0.09110596776008606, 0.04999493435025215, 0.013275769539177418, -0.07930583506822586, 0.02066119946539402, -0.0023910668678581715, 0.0033006463199853897, -0.03918927535414696, 0.001933867926709354, -0.03208146616816521, 0.032680608332157135, -0.009840975515544415, -0.0829186737537384, 0.06178314611315727, 0.06941200792789459, -0.06534978747367859, 0.029314270243048668, 0.020847216248512268, 0.05001598596572876, 0.03645101934671402, -0.08680828660726547, 0.04166107252240181, -0.08261752128601074, 0.022130433470010757, -0.056196294724941254, 0.07031058520078659, -0.0014823675155639648, -2.1862501478745394e-33, 0.006516371853649616, -0.02820441499352455, -0.024146297946572304, 0.02691132202744484, 0.02639676444232464, -0.06245550513267517, -0.05662314593791962, -0.05965343862771988, 0.019070222973823547, 0.05306614935398102, -0.05962977930903435, -0.05819639936089516, -0.026467926800251007, 0.05574004724621773, -0.028758082538843155, -0.029023822396993637, 0.053421635180711746, -0.0831868126988411, -0.023516228422522545, 0.0058023929595947266, -0.017743123695254326, 0.011389010585844517, -0.05304712429642677, -0.04122785106301308, 0.08220288157463074, -0.013174593448638916, 0.023852761834859848, -0.08834894001483917, 0.05712291970849037, -0.07961217314004898, 0.07197153568267822, -0.06406252086162567, -0.04911057651042938, -0.03977062553167343, 0.040267977863550186, -0.04909057170152664, 0.02714831754565239, -0.07322905957698822, 0.005753973498940468, 0.06570248305797577, 0.04389417916536331, -0.10212215781211853, -0.0046844398602843285, 0.024015264585614204, 0.029835794121026993, 0.0638522207736969, 0.038325149565935135, -0.025008566677570343, -0.02065647765994072, -0.07461443543434143, 0.0009793922072276473, 0.011213816702365875, 0.031194714829325676, 0.01899772509932518, -0.004073236603289843, 0.018105747178196907, -0.03247248753905296, 0.006317570339888334, 0.04207438975572586, 0.037305720150470734, 0.0309723149985075, -0.020769383758306503, 0.06154320389032364, 0.03224676102399826, -0.037458986043930054, 0.11765731126070023, 0.05064619332551956, 0.026874592527747154, -0.07663299143314362, -0.014313308522105217, -0.024557707831263542, -0.009471185505390167, -0.018364569172263145, 0.030709726735949516, -0.08006229251623154, -0.0009164540097117424, -0.02561473473906517, -0.09552343189716339, -0.03754789009690285, -0.0655112937092781, 0.03344687446951866, -0.006268966477364302, -0.019285961985588074, 0.05808297172188759, -0.07724102586507797, -0.038090333342552185, 0.038748469203710556, 0.0602419413626194, -0.015580026432871819, 0.03904112055897713, -0.09886036813259125, -0.018076321110129356, -0.06857869029045105, -0.0008685843786224723, -0.05160604044795036, -4.085268656695007e-8, -0.062267910689115524, -0.002382214879617095, 0.014671728014945984, 0.04161345213651657, 0.052382249385118484, 0.09451326727867126, -0.08422490954399109, 0.03871427848935127, 0.03648962453007698, 0.016529938206076622, 0.026432638987898827, -0.047058962285518646, -0.12176737189292908, 0.10563170164823532, 0.0033736038021743298, -0.025384794920682907, -0.016256464645266533, 0.08762834221124649, -0.01342777069658041, -0.04666857048869133, 0.010947220958769321, 0.0754418820142746, -0.010930630378425121, -0.0007735865656286478, 0.026138857007026672, -0.08081997185945511, 0.04891880974173546, 0.11144769191741943, 0.058746837079524994, 0.0012522063916549087, 0.09873349219560623, 0.035199664533138275, 0.031904835253953934, 0.06827858090400696, -0.017491646111011505, -0.022730566561222076, -0.0009754259954206645, 0.11077933758497238, 0.10044144093990326, -0.023449989035725594, -0.05655511096119881, 0.046221774071455, 0.020931301638484, 0.08700486272573471, -0.017706725746393204, -0.0459427572786808, -0.07870934903621674, -0.0039723096415400505, -0.05256674066185951, -0.07887806743383408, 0.02879169210791588, 0.009294102899730206, -0.04271173104643822, 0.06587916612625122, -0.02858264185488224, -0.025374120101332664, 0.03921014815568924, -0.04979966953396797, -0.00468567805364728, -0.027258368209004402, 0.009710508398711681, -0.043496180325746536, -0.017868535593152046, 0.04354182630777359 ]
1402.0294
J\"urgen M\"unch
J\"urgen M\"unch, Ansgar Lamersdorf
Systematic Task Allocation Evaluation in Distributed Software Development
10 pages. The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-642-05290-3_34
On the Move to Meaningful Internet Systems: OTM 2009 Workshops, volume 5872 of Lecture Notes in Computer Science, pages 228-237. Springer Berlin Heidelberg, 2009
10.1007/978-3-642-05290-3_34
null
cs.SE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Systematic task allocation to different development sites in global software de- velopment projects can open business and engineering perspectives and help to reduce risks and problems inherent in distributed development. Relying only on a single evaluation criterion such as development cost when distributing tasks to development sites has shown to be very risky and often does not lead to successful solutions in the long run. Task allocation in global software projects is challenging due to a multitude of impact factors and constraints. Systematic allocation decisions require the ability to evaluate and compare task allocation alternatives and to effectively establish customized task allocation practices in an organization. In this article, we present a customizable process for task allocation evaluation that is based on results from a systematic interview study with practitioners. In this process, the relevant criteria for evaluating task allocation alternatives are derived by applying principles from goal-oriented measurement. In addition, the customization of the process is demonstrated, related work and limitations are sketched, and an outlook on future work is given.
[ { "created": "Mon, 3 Feb 2014 07:01:50 GMT", "version": "v1" } ]
2014-02-04
[ [ "Münch", "Jürgen", "" ], [ "Lamersdorf", "Ansgar", "" ] ]
[ -0.03068034164607525, 0.003551832400262356, -0.005353701766580343, -0.04212736338376999, 0.010017169639468193, -0.05300702154636383, -0.013345170766115189, 0.07390552014112473, 0.027772489935159683, 0.022300604730844498, -0.11181917786598206, -0.08152198791503906, 0.03151532635092735, 0.0590192936360836, -0.011612876318395138, -0.04874011501669884, 0.041288889944553375, -0.05549956485629082, -0.014940948225557804, -0.042631689459085464, 0.11381356418132782, -0.011157359927892685, 0.03966884687542915, 0.025633927434682846, -0.03894117847084999, -0.04151221364736557, 0.013695069588720798, -0.04294662922620773, 0.04141821712255478, 0.04140916094183922, 0.025094039738178253, 0.07915537059307098, 0.024507498368620872, 0.01782899536192417, 0.029875045642256737, 0.06556320935487747, -0.07403191924095154, 0.026807766407728195, 0.008340368047356606, -0.036244701594114304, -0.07153304666280746, 0.018592890352010727, -0.027027683332562447, -0.024590501561760902, -0.03644291311502457, -0.09167739748954773, -0.06721927970647812, -0.07250253111124039, -0.062043268233537674, -0.009542590007185936, 0.06080315634608269, -0.08554033935070038, -0.025610830634832382, -0.05057058855891228, -0.004701366648077965, 0.022333737462759018, 0.10874632000923157, -0.025970732793211937, 0.029945068061351776, -0.02437506429851055, -0.0016970118740573525, -0.05813711881637573, -0.06396201252937317, -0.024611501023173332, 0.004790092818439007, 0.01660383865237236, 0.012216133996844292, 0.0806484967470169, -0.03291608765721321, -0.0051534357480704784, -0.049492448568344116, 0.08079429715871811, -0.002861049957573414, -0.013359013013541698, -0.02207278646528721, 0.06516145914793015, -0.027550339698791504, 0.06418751180171967, -0.022382909432053566, -0.03220989182591438, 0.04013107344508171, 0.068973109126091, -0.009318824857473373, 0.07621380686759949, 0.04142380505800247, -0.008077261038124561, 0.028508871793746948, 0.03334501385688782, 0.04505956918001175, 0.04319048672914505, -0.012814179062843323, -0.06149464473128319, 0.003496290650218725, 0.042345982044935226, -0.004896790254861116, -0.047042179852724075, 0.022779259830713272, -0.04297298938035965, -0.018978267908096313, -0.032237160950899124, -0.021340131759643555, -0.022947579622268677, 0.07235649228096008, -0.08266418427228928, -0.035948943346738815, 0.036903660744428635, 0.0037534271832555532, -0.03790450096130371, 0.01495150662958622, -0.013379886746406555, -0.04123853147029877, -0.0027027998585253954, 0.07938690483570099, -0.06194340065121651, -0.02988927625119686, -0.009909264743328094, -0.0190436914563179, 0.06603216379880905, -0.04357630014419556, 0.035363614559173584, 0.04270137473940849, 0.04592191055417061, 0.07512936741113663, -0.07811330258846283, 0.012999692000448704, 0.03759738802909851, -0.06118173152208328, 1.679358433029745e-33, 0.02861248515546322, -0.04326040297746658, -0.048924267292022705, 0.04787864163517952, 0.02105037122964859, -0.06939348578453064, 0.028271932154893875, 0.11384308338165283, -0.07323048263788223, -0.04762979969382286, 0.019496291875839233, 0.04924772307276726, -0.0380643866956234, 0.03839699923992157, 0.16390551626682281, -0.017285369336605072, 0.01086505502462387, 0.15621472895145416, 0.03506143391132355, 0.034000214189291, -0.055011406540870667, -0.08797532320022583, 0.021505892276763916, -0.0294551569968462, 0.1151597797870636, -0.006117065902799368, 0.04312685877084732, -0.047428760677576065, -0.04489029943943024, 0.007161964196711779, -0.038509439677000046, -0.02667672000825405, 0.09185852110385895, 0.002978644799441099, 0.03833739459514618, 0.08389376103878021, -0.05674663186073303, 0.03380926325917244, 0.0728585496544838, 0.0531831756234169, 0.02439950965344906, -0.002296763239428401, 0.010660579428076744, 0.01563568040728569, 0.1029970794916153, -0.026886723935604095, 0.024874098598957062, -0.08134923875331879, 0.05395497381687164, -0.0395701602101326, 0.039787642657756805, -0.029944607987999916, 0.09973223507404327, 0.015395804308354855, 0.022320838645100594, -0.05755554139614105, 0.04463016986846924, -0.055455103516578674, 0.010794851928949356, 0.04887517914175987, -0.01809980906546116, -0.06625745445489883, -0.08115182816982269, 0.05125489458441734, 0.02530091069638729, -0.023410767316818237, 0.004244615789502859, 0.010470974259078503, 0.1116178035736084, -0.04137064516544342, -0.03411048278212547, -0.04468798637390137, 0.04967675730586052, 0.017488084733486176, -0.05512067675590515, 0.02908274717628956, 0.014951532706618309, 0.036994047462940216, -0.00794239155948162, -0.015322106890380383, -0.03937635198235512, 0.09872409701347351, 0.0169210247695446, -0.09649218618869781, 0.0821690559387207, -0.027741065248847008, 0.002351985312998295, 0.06433895230293274, -0.10732544213533401, 0.04040908068418503, -0.005528384353965521, -0.013086571358144283, -0.10909586399793625, 0.04510214179754257, 0.07448989152908325, -2.2003911612439392e-33, -0.061851125210523605, 0.012197945266962051, -0.09002258628606796, -0.016121719032526016, 0.08505498617887497, 0.03712139278650284, 0.011083937250077724, -0.08785469830036163, 0.012860797345638275, 0.02184346690773964, -0.11678265035152435, -0.061417143791913986, -0.02680034562945366, 0.07471279054880142, -0.08722110092639923, -0.008954050950706005, -0.047489702701568604, -0.0021779381204396486, 0.0332774743437767, -0.016650862991809845, -0.027626870200037956, 0.08417610079050064, 0.01852557063102722, -0.012175973504781723, 0.0965791791677475, 0.013690009713172913, -0.002426170278340578, -0.05590738356113434, 0.02065586857497692, -0.05520424619317055, -0.02173432521522045, -0.04101896286010742, -0.049750007688999176, 0.00577840581536293, 0.03219595551490784, -0.03229431435465813, -0.028949128463864326, -0.018426891416311264, 0.007462131325155497, 0.11047332733869553, -0.020642351359128952, -0.03606714680790901, 0.03537505120038986, -0.017284220084547997, -0.04828210920095444, 0.059848640114068985, -0.023711174726486206, -0.06375287473201752, -0.007470353972166777, -0.0712905004620552, -0.0070558940060436726, 0.036251042038202286, -0.012478811666369438, -0.0064858668483793736, 0.030957989394664764, -0.0702599436044693, 0.02772402949631214, -0.04092932865023613, 0.04174334183335304, 0.06454280763864517, 0.05672870948910713, 0.025879574939608574, 0.05875326693058014, 0.01508325058966875, -0.032517340034246445, 0.06575077772140503, 0.015088550746440887, 0.00849782396107912, -0.10743921250104904, 0.025385349988937378, -0.03988981992006302, -0.008556385524570942, -0.030472740530967712, -0.012973916716873646, -0.050325099378824234, 0.005611750762909651, 0.041468020528554916, -0.019917849451303482, -0.029474234208464622, -0.02361270785331726, -0.0624573640525341, 0.01296399999409914, -0.01416980754584074, 0.010906266048550606, -0.09761365503072739, -0.04223619028925896, 0.0444033145904541, 0.08906075358390808, -0.029789907857775688, 0.06942938268184662, -0.11336535960435867, -0.013852878473699093, -0.02324642613530159, -0.01977027766406536, 0.037514738738536835, -4.8297295052179834e-8, 0.03452300652861595, 0.02999950759112835, 0.015896625816822052, 0.02274525724351406, -0.05411861091852188, 0.0009278309880755842, -0.0885559543967247, 0.0534152127802372, 0.025815347209572792, 0.01716335490345955, 0.014035837724804878, 0.00029163743602111936, 0.02282220497727394, 0.07837837189435959, -0.03125093877315521, 0.014055266976356506, -0.04242076724767685, 0.05345582216978073, -0.03257470577955246, -0.05883212015032768, 0.09592074900865555, 0.09942255169153214, -0.0031611155718564987, -0.038285356014966965, 0.022617079317569733, -0.09552207589149475, -0.0036984283942729235, 0.06963697075843811, 0.08056552708148956, -0.06803760677576065, 0.07927007973194122, 0.02022360824048519, -0.01812015287578106, 0.04537738859653473, 0.016818713396787643, -0.05464467406272888, -0.04713157191872597, 0.05242595449090004, 0.060119934380054474, 0.05941631272435188, 0.013842646032571793, 0.0220248531550169, 0.0516500398516655, 0.05887581780552864, -0.02990446239709854, -0.04506847634911537, -0.1465393751859665, 0.029462769627571106, -0.025032302364706993, -0.09838186949491501, -0.05436244234442711, 0.02829095907509327, -0.026599103584885597, 0.08215424418449402, 0.0757555365562439, 0.07883560657501221, -0.005443251691758633, -0.056800130754709244, 0.00850342120975256, 0.07531415671110153, -0.0017290717223659158, 0.017130648717284203, -0.06417153030633926, 0.05253855884075165 ]
null
null
null
null
null
null
null
[ -0.03068034164607525, 0.003551832400262356, -0.005353701766580343, -0.04212736338376999, 0.010017169639468193, -0.05300702154636383, -0.013345170766115189, 0.07390552014112473, 0.027772489935159683, 0.022300604730844498, -0.11181917786598206, -0.08152198791503906, 0.03151532635092735, 0.0590192936360836, -0.011612876318395138, -0.04874011501669884, 0.041288889944553375, -0.05549956485629082, -0.014940948225557804, -0.042631689459085464, 0.11381356418132782, -0.011157359927892685, 0.03966884687542915, 0.025633927434682846, -0.03894117847084999, -0.04151221364736557, 0.013695069588720798, -0.04294662922620773, 0.04141821712255478, 0.04140916094183922, 0.025094039738178253, 0.07915537059307098, 0.024507498368620872, 0.01782899536192417, 0.029875045642256737, 0.06556320935487747, -0.07403191924095154, 0.026807766407728195, 0.008340368047356606, -0.036244701594114304, -0.07153304666280746, 0.018592890352010727, -0.027027683332562447, -0.024590501561760902, -0.03644291311502457, -0.09167739748954773, -0.06721927970647812, -0.07250253111124039, -0.062043268233537674, -0.009542590007185936, 0.06080315634608269, -0.08554033935070038, -0.025610830634832382, -0.05057058855891228, -0.004701366648077965, 0.022333737462759018, 0.10874632000923157, -0.025970732793211937, 0.029945068061351776, -0.02437506429851055, -0.0016970118740573525, -0.05813711881637573, -0.06396201252937317, -0.024611501023173332, 0.004790092818439007, 0.01660383865237236, 0.012216133996844292, 0.0806484967470169, -0.03291608765721321, -0.0051534357480704784, -0.049492448568344116, 0.08079429715871811, -0.002861049957573414, -0.013359013013541698, -0.02207278646528721, 0.06516145914793015, -0.027550339698791504, 0.06418751180171967, -0.022382909432053566, -0.03220989182591438, 0.04013107344508171, 0.068973109126091, -0.009318824857473373, 0.07621380686759949, 0.04142380505800247, -0.008077261038124561, 0.028508871793746948, 0.03334501385688782, 0.04505956918001175, 0.04319048672914505, -0.012814179062843323, -0.06149464473128319, 0.003496290650218725, 0.042345982044935226, -0.004896790254861116, -0.047042179852724075, 0.022779259830713272, -0.04297298938035965, -0.018978267908096313, -0.032237160950899124, -0.021340131759643555, -0.022947579622268677, 0.07235649228096008, -0.08266418427228928, -0.035948943346738815, 0.036903660744428635, 0.0037534271832555532, -0.03790450096130371, 0.01495150662958622, -0.013379886746406555, -0.04123853147029877, -0.0027027998585253954, 0.07938690483570099, -0.06194340065121651, -0.02988927625119686, -0.009909264743328094, -0.0190436914563179, 0.06603216379880905, -0.04357630014419556, 0.035363614559173584, 0.04270137473940849, 0.04592191055417061, 0.07512936741113663, -0.07811330258846283, 0.012999692000448704, 0.03759738802909851, -0.06118173152208328, 1.679358433029745e-33, 0.02861248515546322, -0.04326040297746658, -0.048924267292022705, 0.04787864163517952, 0.02105037122964859, -0.06939348578453064, 0.028271932154893875, 0.11384308338165283, -0.07323048263788223, -0.04762979969382286, 0.019496291875839233, 0.04924772307276726, -0.0380643866956234, 0.03839699923992157, 0.16390551626682281, -0.017285369336605072, 0.01086505502462387, 0.15621472895145416, 0.03506143391132355, 0.034000214189291, -0.055011406540870667, -0.08797532320022583, 0.021505892276763916, -0.0294551569968462, 0.1151597797870636, -0.006117065902799368, 0.04312685877084732, -0.047428760677576065, -0.04489029943943024, 0.007161964196711779, -0.038509439677000046, -0.02667672000825405, 0.09185852110385895, 0.002978644799441099, 0.03833739459514618, 0.08389376103878021, -0.05674663186073303, 0.03380926325917244, 0.0728585496544838, 0.0531831756234169, 0.02439950965344906, -0.002296763239428401, 0.010660579428076744, 0.01563568040728569, 0.1029970794916153, -0.026886723935604095, 0.024874098598957062, -0.08134923875331879, 0.05395497381687164, -0.0395701602101326, 0.039787642657756805, -0.029944607987999916, 0.09973223507404327, 0.015395804308354855, 0.022320838645100594, -0.05755554139614105, 0.04463016986846924, -0.055455103516578674, 0.010794851928949356, 0.04887517914175987, -0.01809980906546116, -0.06625745445489883, -0.08115182816982269, 0.05125489458441734, 0.02530091069638729, -0.023410767316818237, 0.004244615789502859, 0.010470974259078503, 0.1116178035736084, -0.04137064516544342, -0.03411048278212547, -0.04468798637390137, 0.04967675730586052, 0.017488084733486176, -0.05512067675590515, 0.02908274717628956, 0.014951532706618309, 0.036994047462940216, -0.00794239155948162, -0.015322106890380383, -0.03937635198235512, 0.09872409701347351, 0.0169210247695446, -0.09649218618869781, 0.0821690559387207, -0.027741065248847008, 0.002351985312998295, 0.06433895230293274, -0.10732544213533401, 0.04040908068418503, -0.005528384353965521, -0.013086571358144283, -0.10909586399793625, 0.04510214179754257, 0.07448989152908325, -2.2003911612439392e-33, -0.061851125210523605, 0.012197945266962051, -0.09002258628606796, -0.016121719032526016, 0.08505498617887497, 0.03712139278650284, 0.011083937250077724, -0.08785469830036163, 0.012860797345638275, 0.02184346690773964, -0.11678265035152435, -0.061417143791913986, -0.02680034562945366, 0.07471279054880142, -0.08722110092639923, -0.008954050950706005, -0.047489702701568604, -0.0021779381204396486, 0.0332774743437767, -0.016650862991809845, -0.027626870200037956, 0.08417610079050064, 0.01852557063102722, -0.012175973504781723, 0.0965791791677475, 0.013690009713172913, -0.002426170278340578, -0.05590738356113434, 0.02065586857497692, -0.05520424619317055, -0.02173432521522045, -0.04101896286010742, -0.049750007688999176, 0.00577840581536293, 0.03219595551490784, -0.03229431435465813, -0.028949128463864326, -0.018426891416311264, 0.007462131325155497, 0.11047332733869553, -0.020642351359128952, -0.03606714680790901, 0.03537505120038986, -0.017284220084547997, -0.04828210920095444, 0.059848640114068985, -0.023711174726486206, -0.06375287473201752, -0.007470353972166777, -0.0712905004620552, -0.0070558940060436726, 0.036251042038202286, -0.012478811666369438, -0.0064858668483793736, 0.030957989394664764, -0.0702599436044693, 0.02772402949631214, -0.04092932865023613, 0.04174334183335304, 0.06454280763864517, 0.05672870948910713, 0.025879574939608574, 0.05875326693058014, 0.01508325058966875, -0.032517340034246445, 0.06575077772140503, 0.015088550746440887, 0.00849782396107912, -0.10743921250104904, 0.025385349988937378, -0.03988981992006302, -0.008556385524570942, -0.030472740530967712, -0.012973916716873646, -0.050325099378824234, 0.005611750762909651, 0.041468020528554916, -0.019917849451303482, -0.029474234208464622, -0.02361270785331726, -0.0624573640525341, 0.01296399999409914, -0.01416980754584074, 0.010906266048550606, -0.09761365503072739, -0.04223619028925896, 0.0444033145904541, 0.08906075358390808, -0.029789907857775688, 0.06942938268184662, -0.11336535960435867, -0.013852878473699093, -0.02324642613530159, -0.01977027766406536, 0.037514738738536835, -4.8297295052179834e-8, 0.03452300652861595, 0.02999950759112835, 0.015896625816822052, 0.02274525724351406, -0.05411861091852188, 0.0009278309880755842, -0.0885559543967247, 0.0534152127802372, 0.025815347209572792, 0.01716335490345955, 0.014035837724804878, 0.00029163743602111936, 0.02282220497727394, 0.07837837189435959, -0.03125093877315521, 0.014055266976356506, -0.04242076724767685, 0.05345582216978073, -0.03257470577955246, -0.05883212015032768, 0.09592074900865555, 0.09942255169153214, -0.0031611155718564987, -0.038285356014966965, 0.022617079317569733, -0.09552207589149475, -0.0036984283942729235, 0.06963697075843811, 0.08056552708148956, -0.06803760677576065, 0.07927007973194122, 0.02022360824048519, -0.01812015287578106, 0.04537738859653473, 0.016818713396787643, -0.05464467406272888, -0.04713157191872597, 0.05242595449090004, 0.060119934380054474, 0.05941631272435188, 0.013842646032571793, 0.0220248531550169, 0.0516500398516655, 0.05887581780552864, -0.02990446239709854, -0.04506847634911537, -0.1465393751859665, 0.029462769627571106, -0.025032302364706993, -0.09838186949491501, -0.05436244234442711, 0.02829095907509327, -0.026599103584885597, 0.08215424418449402, 0.0757555365562439, 0.07883560657501221, -0.005443251691758633, -0.056800130754709244, 0.00850342120975256, 0.07531415671110153, -0.0017290717223659158, 0.017130648717284203, -0.06417153030633926, 0.05253855884075165 ]
1402.0295
Xiaoming Chen
Xiaoming Chen, Chau Yuen
Performance Analysis and Optimization for Interference Alignment over MIMO Interference Channels with Limited Feedback
11 pages, 6 figures, 1 table. IEEE Transactions on Signal Processing, 2014
null
10.1109/TSP.2014.2304926
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we address the problem of interference alignment (IA) over MIMO interference channels with limited channel state information (CSI) feedback based on quantization codebooks. Due to limited feedback and hence imperfect IA, there are residual interferences across different links and different data streams. As a result, the performance of IA is greatly related to the CSI accuracy (namely number of feedback bits) and the number of data streams (namely transmission mode). In order to improve the performance of IA, it makes sense to optimize the system parameters according to the channel conditions. Motivated by this, we first give a quantitative performance analysis for IA under limited feedback, and derive a closed-form expression for the average transmission rate in terms of feedback bits and transmission mode. By maximizing the average transmission rate, we obtain an adaptive feedback allocation scheme, as well as a dynamic mode selection scheme. Furthermore, through asymptotic analysis, we obtain several clear insights on the system performance, and provide some guidelines on the system design. Finally, simulation results validate our theoretical claims, and show that obvious performance gain can be obtained by adjusting feedback bits dynamically or selecting transmission mode adaptively.
[ { "created": "Mon, 3 Feb 2014 07:12:36 GMT", "version": "v1" } ]
2015-06-18
[ [ "Chen", "Xiaoming", "" ], [ "Yuen", "Chau", "" ] ]
[ 0.06354357302188873, 0.00009599217446520925, 0.04483607038855553, 0.038848038762807846, -0.008458340540528297, -0.0277531910687685, 0.05597066879272461, 0.003978076856583357, 0.03281960263848305, 0.005777280777692795, -0.01251890230923891, 0.0480470173060894, 0.022689631208777428, -0.03818102926015854, -0.06143229827284813, 0.00601856829598546, 0.056204479187726974, 0.02437511831521988, -0.016429241746664047, -0.0046136267483234406, 0.13810600340366364, 0.018167100846767426, 0.023926880210638046, 0.004721812903881073, 0.07557865977287292, -0.017750607803463936, 0.03957260772585869, 0.014200718142092228, 0.026267003268003464, -0.051015060395002365, -0.05582878366112709, -0.001678566331975162, 0.034174442291259766, -0.1238848865032196, -0.06985341012477875, -0.03978349268436432, 0.04833013564348221, -0.04809943214058876, 0.04715822637081146, 0.04436273127794266, -0.058291349560022354, -0.0037027867510914803, 0.0035609786864370108, 0.011197632178664207, -0.0544719472527504, 0.04827338084578514, 0.083957239985466, 0.05025706812739372, -0.017761358991265297, -0.013428427278995514, -0.008522859774529934, 0.08307410031557083, 0.0030019779223948717, 0.05378476530313492, 0.051829952746629715, -0.1180824562907219, -0.03349366784095764, 0.05835472419857979, -0.03013780526816845, 0.026431741192936897, 0.018922971561551094, 0.045671455562114716, 0.0034533818252384663, -0.014167651534080505, -0.00879040639847517, 0.042729005217552185, -0.031449854373931885, 0.07504287362098694, -0.03679949417710304, -0.0374351404607296, -0.08910217881202698, -0.05495733767747879, 0.003751577576622367, 0.022401494905352592, 0.06832645833492279, 0.027874767780303955, -0.06715301424264908, 0.058250151574611664, 0.045672617852687836, 0.037507154047489166, 0.05279216170310974, 0.009113623760640621, 0.002937107579782605, -0.07363612949848175, 0.05135714262723923, -0.06734061986207962, -0.0594196692109108, 0.0670500248670578, 0.11325622349977493, 0.014391407370567322, -0.06958045810461044, 0.04495656117796898, -0.014249726198613644, 0.05106515437364578, 0.04576265439391136, 0.036074332892894745, 0.024825822561979294, -0.016438134014606476, 0.06270875036716461, 0.06587649881839752, 0.06219688430428505, 0.004958329256623983, -0.01244231779128313, -0.005840032361447811, 0.025610970333218575, -0.053727585822343826, 0.02267194725573063, 0.09573329240083694, -0.00985779333859682, -0.05832051858305931, -0.005836671683937311, 0.01287176925688982, -0.08160437643527985, 0.0030543990433216095, -0.037650059908628464, 0.04659738764166832, 0.05299016833305359, 0.05478457733988762, -0.010669528506696224, -0.01901846192777157, 0.029045652598142624, -0.09833881258964539, 0.03141321986913681, 0.04576579108834267, 0.08037619292736053, 0.031323764473199844, -0.07425320893526077, 1.2363205815120752e-33, -0.05227545276284218, 0.028232228010892868, -0.006095047574490309, 0.06800378859043121, -0.05772772803902626, 0.02691466733813286, 0.034772127866744995, -0.04246959090232849, 0.03142587095499039, 0.03911169245839119, -0.03941909596323967, -0.09276656806468964, -0.06952834129333496, -0.003974430728703737, 0.040872618556022644, -0.003303451929241419, -0.059545956552028656, -0.06044944003224373, 0.02082170359790325, -0.012629900127649307, 0.07101277261972427, -0.013447925448417664, -0.11582186818122864, -0.032881494611501694, 0.026002326980233192, -0.026631394401192665, -0.05103073641657829, -0.051465898752212524, -0.03929969668388367, -0.0040816618129611015, -0.03538605943322182, -0.0995987132191658, 0.09706752002239227, -0.02408517524600029, 0.04327685013413429, -0.0022167132701724768, -0.033706698566675186, -0.04829736799001694, -0.06967242807149887, -0.02026275172829628, 0.009536265395581722, -0.006257019471377134, -0.007030592765659094, 0.010991265997290611, -0.012531192041933537, -0.07751825451850891, -0.034507691860198975, -0.04630986973643303, -0.059349820017814636, -0.030116235837340355, 0.07134805619716644, 0.04153024032711983, -0.008030878379940987, 0.047404274344444275, 0.10692118108272552, -0.06127815321087837, -0.01679856888949871, 0.10556621104478836, -0.062318816781044006, 0.14063982665538788, -0.08609163761138916, -0.048527318984270096, 0.034296441823244095, -0.037823859602212906, 0.03797740116715431, -0.038348276168107986, -0.04227666184306145, 0.020989157259464264, 0.011334700509905815, 0.039747025817632675, -0.05237336829304695, -0.03764981031417847, 0.04602092504501343, -0.03508143499493599, -0.0075653912499547005, -0.08349070698022842, -0.02377038449048996, -0.02869460918009281, -0.036702945828437805, 0.06601538509130478, 0.059718430042266846, 0.04159431532025337, 0.007903066463768482, 0.018402881920337677, -0.023666204884648323, -0.008605851791799068, 0.05486898496747017, 0.04657203331589699, -0.04527756944298744, 0.027253566309809685, -0.056610167026519775, 0.07597225159406662, -0.018878614529967308, 0.03460599482059479, -0.01627088151872158, -1.431106791270044e-33, 0.013656273484230042, -0.03810873627662659, 0.10255856812000275, -0.030773354694247246, -0.09872712939977646, -0.04034450277686119, 0.03039291873574257, -0.016341906040906906, 0.013243974186480045, -0.09771910309791565, -0.014782559126615524, -0.06454888731241226, -0.006873511243611574, 0.06968014687299728, 0.0073442175053060055, 0.06466944515705109, 0.010434509254992008, 0.11746616661548615, 0.05829772725701332, 0.03810719773173332, 0.023203175514936447, 0.03410860896110535, 0.07205386459827423, -0.039207372814416885, 0.045888081192970276, -0.04149509221315384, -0.03397107496857643, 0.1204083114862442, 0.047423359006643295, -0.02134024351835251, 0.0009140446782112122, -0.03715137392282486, 0.014588013291358948, -0.023839151486754417, 0.04117575287818909, -0.005195222329348326, 0.002487000310793519, 0.03435685485601425, 0.012113360688090324, 0.09441005438566208, 0.07536927610635757, -0.07288725674152374, -0.08461926877498627, 0.03387834504246712, 0.09487637877464294, -0.03260006010532379, -0.027722852304577827, 0.044142451137304306, -0.09103917330503464, 0.001399995177052915, 0.047776155173778534, 0.01796182058751583, -0.03674674406647682, 0.019187401980161667, 0.0009296955540776253, -0.024993140250444412, 0.010024607181549072, 0.10013753920793533, 0.04908136650919914, 0.07390862703323364, 0.06907647103071213, -0.007842527702450752, -0.026540255174040794, -0.056417595595121384, 0.08719169348478317, -0.00814033206552267, 0.057342179119586945, -0.06971433758735657, 0.01467061322182417, 0.06346854567527771, -0.02180139720439911, -0.0966658666729927, -0.05062495544552803, -0.037023723125457764, 0.10785383731126785, 0.04272884875535965, 0.005131932441145182, -0.029988573864102364, -0.014520476572215557, 0.04332609102129936, -0.058446843177080154, 0.13625171780586243, 0.0023678471334278584, 0.0030935993418097496, -0.0572923980653286, 0.07451120764017105, 0.02188654989004135, 0.06764820218086243, -0.003567724023014307, -0.0954209715127945, 0.0056871757842600346, 0.020893758162856102, -0.019739098846912384, -0.02859479747712612, -0.017972467467188835, -5.3317386061735306e-8, -0.04966560751199722, -0.07330669462680817, -0.05171443521976471, -0.05089337006211281, 0.021922845393419266, -0.002968758577480912, -0.06169690564274788, -0.08724776655435562, 0.04764354228973389, -0.10464947670698166, 0.08523733913898468, 0.020505808293819427, -0.0455198772251606, 0.009221458807587624, 0.000255927792750299, -0.05873488634824753, -0.023585138842463493, -0.03147704899311066, -0.019525839015841484, 0.057187311351299286, -0.03613372892141342, 0.019638916477560997, -0.026743503287434578, -0.013800341635942459, -0.04529774188995361, -0.04392834007740021, 0.02729608304798603, 0.013192101381719112, 0.04101754352450371, -0.07697071135044098, 0.02599514275789261, -0.0013995713088661432, 0.0451008565723896, 0.08521247655153275, -0.07017865031957626, 0.017370976507663727, -0.02159697189927101, -0.020046798512339592, -0.018285049125552177, -0.04261669144034386, 0.002529243240132928, -0.03689573332667351, 0.01010025106370449, 0.006095905788242817, 0.08007487654685974, 0.0983051061630249, 0.025997471064329147, 0.028165506199002266, -0.00010600567475194111, -0.09340564161539078, 0.04234924912452698, 0.06251842528581619, 0.0416092723608017, -0.0655379369854927, -0.002248096978291869, -0.0806087777018547, 0.0713270753622055, -0.010170369409024715, 0.04193076863884926, -0.07785199582576752, -0.06437000632286072, 0.025430334731936455, -0.12107805907726288, -0.023185238242149353 ]
null
null
null
null
null
null
null
[ 0.06354357302188873, 0.00009599217446520925, 0.04483607038855553, 0.038848038762807846, -0.008458340540528297, -0.0277531910687685, 0.05597066879272461, 0.003978076856583357, 0.03281960263848305, 0.005777280777692795, -0.01251890230923891, 0.0480470173060894, 0.022689631208777428, -0.03818102926015854, -0.06143229827284813, 0.00601856829598546, 0.056204479187726974, 0.02437511831521988, -0.016429241746664047, -0.0046136267483234406, 0.13810600340366364, 0.018167100846767426, 0.023926880210638046, 0.004721812903881073, 0.07557865977287292, -0.017750607803463936, 0.03957260772585869, 0.014200718142092228, 0.026267003268003464, -0.051015060395002365, -0.05582878366112709, -0.001678566331975162, 0.034174442291259766, -0.1238848865032196, -0.06985341012477875, -0.03978349268436432, 0.04833013564348221, -0.04809943214058876, 0.04715822637081146, 0.04436273127794266, -0.058291349560022354, -0.0037027867510914803, 0.0035609786864370108, 0.011197632178664207, -0.0544719472527504, 0.04827338084578514, 0.083957239985466, 0.05025706812739372, -0.017761358991265297, -0.013428427278995514, -0.008522859774529934, 0.08307410031557083, 0.0030019779223948717, 0.05378476530313492, 0.051829952746629715, -0.1180824562907219, -0.03349366784095764, 0.05835472419857979, -0.03013780526816845, 0.026431741192936897, 0.018922971561551094, 0.045671455562114716, 0.0034533818252384663, -0.014167651534080505, -0.00879040639847517, 0.042729005217552185, -0.031449854373931885, 0.07504287362098694, -0.03679949417710304, -0.0374351404607296, -0.08910217881202698, -0.05495733767747879, 0.003751577576622367, 0.022401494905352592, 0.06832645833492279, 0.027874767780303955, -0.06715301424264908, 0.058250151574611664, 0.045672617852687836, 0.037507154047489166, 0.05279216170310974, 0.009113623760640621, 0.002937107579782605, -0.07363612949848175, 0.05135714262723923, -0.06734061986207962, -0.0594196692109108, 0.0670500248670578, 0.11325622349977493, 0.014391407370567322, -0.06958045810461044, 0.04495656117796898, -0.014249726198613644, 0.05106515437364578, 0.04576265439391136, 0.036074332892894745, 0.024825822561979294, -0.016438134014606476, 0.06270875036716461, 0.06587649881839752, 0.06219688430428505, 0.004958329256623983, -0.01244231779128313, -0.005840032361447811, 0.025610970333218575, -0.053727585822343826, 0.02267194725573063, 0.09573329240083694, -0.00985779333859682, -0.05832051858305931, -0.005836671683937311, 0.01287176925688982, -0.08160437643527985, 0.0030543990433216095, -0.037650059908628464, 0.04659738764166832, 0.05299016833305359, 0.05478457733988762, -0.010669528506696224, -0.01901846192777157, 0.029045652598142624, -0.09833881258964539, 0.03141321986913681, 0.04576579108834267, 0.08037619292736053, 0.031323764473199844, -0.07425320893526077, 1.2363205815120752e-33, -0.05227545276284218, 0.028232228010892868, -0.006095047574490309, 0.06800378859043121, -0.05772772803902626, 0.02691466733813286, 0.034772127866744995, -0.04246959090232849, 0.03142587095499039, 0.03911169245839119, -0.03941909596323967, -0.09276656806468964, -0.06952834129333496, -0.003974430728703737, 0.040872618556022644, -0.003303451929241419, -0.059545956552028656, -0.06044944003224373, 0.02082170359790325, -0.012629900127649307, 0.07101277261972427, -0.013447925448417664, -0.11582186818122864, -0.032881494611501694, 0.026002326980233192, -0.026631394401192665, -0.05103073641657829, -0.051465898752212524, -0.03929969668388367, -0.0040816618129611015, -0.03538605943322182, -0.0995987132191658, 0.09706752002239227, -0.02408517524600029, 0.04327685013413429, -0.0022167132701724768, -0.033706698566675186, -0.04829736799001694, -0.06967242807149887, -0.02026275172829628, 0.009536265395581722, -0.006257019471377134, -0.007030592765659094, 0.010991265997290611, -0.012531192041933537, -0.07751825451850891, -0.034507691860198975, -0.04630986973643303, -0.059349820017814636, -0.030116235837340355, 0.07134805619716644, 0.04153024032711983, -0.008030878379940987, 0.047404274344444275, 0.10692118108272552, -0.06127815321087837, -0.01679856888949871, 0.10556621104478836, -0.062318816781044006, 0.14063982665538788, -0.08609163761138916, -0.048527318984270096, 0.034296441823244095, -0.037823859602212906, 0.03797740116715431, -0.038348276168107986, -0.04227666184306145, 0.020989157259464264, 0.011334700509905815, 0.039747025817632675, -0.05237336829304695, -0.03764981031417847, 0.04602092504501343, -0.03508143499493599, -0.0075653912499547005, -0.08349070698022842, -0.02377038449048996, -0.02869460918009281, -0.036702945828437805, 0.06601538509130478, 0.059718430042266846, 0.04159431532025337, 0.007903066463768482, 0.018402881920337677, -0.023666204884648323, -0.008605851791799068, 0.05486898496747017, 0.04657203331589699, -0.04527756944298744, 0.027253566309809685, -0.056610167026519775, 0.07597225159406662, -0.018878614529967308, 0.03460599482059479, -0.01627088151872158, -1.431106791270044e-33, 0.013656273484230042, -0.03810873627662659, 0.10255856812000275, -0.030773354694247246, -0.09872712939977646, -0.04034450277686119, 0.03039291873574257, -0.016341906040906906, 0.013243974186480045, -0.09771910309791565, -0.014782559126615524, -0.06454888731241226, -0.006873511243611574, 0.06968014687299728, 0.0073442175053060055, 0.06466944515705109, 0.010434509254992008, 0.11746616661548615, 0.05829772725701332, 0.03810719773173332, 0.023203175514936447, 0.03410860896110535, 0.07205386459827423, -0.039207372814416885, 0.045888081192970276, -0.04149509221315384, -0.03397107496857643, 0.1204083114862442, 0.047423359006643295, -0.02134024351835251, 0.0009140446782112122, -0.03715137392282486, 0.014588013291358948, -0.023839151486754417, 0.04117575287818909, -0.005195222329348326, 0.002487000310793519, 0.03435685485601425, 0.012113360688090324, 0.09441005438566208, 0.07536927610635757, -0.07288725674152374, -0.08461926877498627, 0.03387834504246712, 0.09487637877464294, -0.03260006010532379, -0.027722852304577827, 0.044142451137304306, -0.09103917330503464, 0.001399995177052915, 0.047776155173778534, 0.01796182058751583, -0.03674674406647682, 0.019187401980161667, 0.0009296955540776253, -0.024993140250444412, 0.010024607181549072, 0.10013753920793533, 0.04908136650919914, 0.07390862703323364, 0.06907647103071213, -0.007842527702450752, -0.026540255174040794, -0.056417595595121384, 0.08719169348478317, -0.00814033206552267, 0.057342179119586945, -0.06971433758735657, 0.01467061322182417, 0.06346854567527771, -0.02180139720439911, -0.0966658666729927, -0.05062495544552803, -0.037023723125457764, 0.10785383731126785, 0.04272884875535965, 0.005131932441145182, -0.029988573864102364, -0.014520476572215557, 0.04332609102129936, -0.058446843177080154, 0.13625171780586243, 0.0023678471334278584, 0.0030935993418097496, -0.0572923980653286, 0.07451120764017105, 0.02188654989004135, 0.06764820218086243, -0.003567724023014307, -0.0954209715127945, 0.0056871757842600346, 0.020893758162856102, -0.019739098846912384, -0.02859479747712612, -0.017972467467188835, -5.3317386061735306e-8, -0.04966560751199722, -0.07330669462680817, -0.05171443521976471, -0.05089337006211281, 0.021922845393419266, -0.002968758577480912, -0.06169690564274788, -0.08724776655435562, 0.04764354228973389, -0.10464947670698166, 0.08523733913898468, 0.020505808293819427, -0.0455198772251606, 0.009221458807587624, 0.000255927792750299, -0.05873488634824753, -0.023585138842463493, -0.03147704899311066, -0.019525839015841484, 0.057187311351299286, -0.03613372892141342, 0.019638916477560997, -0.026743503287434578, -0.013800341635942459, -0.04529774188995361, -0.04392834007740021, 0.02729608304798603, 0.013192101381719112, 0.04101754352450371, -0.07697071135044098, 0.02599514275789261, -0.0013995713088661432, 0.0451008565723896, 0.08521247655153275, -0.07017865031957626, 0.017370976507663727, -0.02159697189927101, -0.020046798512339592, -0.018285049125552177, -0.04261669144034386, 0.002529243240132928, -0.03689573332667351, 0.01010025106370449, 0.006095905788242817, 0.08007487654685974, 0.0983051061630249, 0.025997471064329147, 0.028165506199002266, -0.00010600567475194111, -0.09340564161539078, 0.04234924912452698, 0.06251842528581619, 0.0416092723608017, -0.0655379369854927, -0.002248096978291869, -0.0806087777018547, 0.0713270753622055, -0.010170369409024715, 0.04193076863884926, -0.07785199582576752, -0.06437000632286072, 0.025430334731936455, -0.12107805907726288, -0.023185238242149353 ]
1402.0299
Panos Rondogiannis
Zolt\'an \'Esik and Panos Rondogiannis
A Fixed Point Theorem for Non-Monotonic Functions
34 pages. Accepted in: Theoretical Computer Science (to appear)
null
null
null
cs.LO math.LO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a fixed point theorem for a class of (potentially) non-monotonic functions over specially structured complete lattices. The theorem has as a special case the Knaster-Tarski fixed point theorem when restricted to the case of monotonic functions and Kleene's theorem when the functions are additionally continuous. From the practical side, the theorem has direct applications in the semantics of negation in logic programming. In particular, it leads to a more direct and elegant proof of the least fixed point result of [Rondogiannis and W.W.Wadge, ACM TOCL 6(2): 441-467 (2005)]. Moreover, the theorem appears to have potential for possible applications outside the logic programming domain.
[ { "created": "Mon, 3 Feb 2014 07:42:10 GMT", "version": "v1" }, { "created": "Sun, 1 Feb 2015 11:57:31 GMT", "version": "v2" }, { "created": "Sat, 7 Feb 2015 14:24:30 GMT", "version": "v3" } ]
2015-02-10
[ [ "Ésik", "Zoltán", "" ], [ "Rondogiannis", "Panos", "" ] ]
[ -0.019508492201566696, 0.02399342693388462, 0.04706745222210884, -0.04283927381038666, -0.028007227927446365, -0.0006777258240617812, 0.05001707375049591, 0.003338736714795232, 0.03624740242958069, 0.05230705812573433, -0.02208380214869976, -0.013667448423802853, 0.07422728836536407, 0.0850796326994896, 0.02666364423930645, 0.07121571153402328, 0.058322977274656296, 0.02468031831085682, -0.000005920497642364353, -0.027461733669042587, -0.07393170893192291, 0.04898824915289879, -0.03046916052699089, -0.007636771537363529, -0.0723055899143219, -0.05275820568203926, -0.1000373512506485, 0.02066318690776825, 0.01861320063471794, 0.018299277871847153, -0.08798957616090775, 0.025421306490898132, -0.017902333289384842, 0.0669802874326706, 0.009118281304836273, 0.05286633223295212, -0.007831159047782421, 0.03853185847401619, -0.0021722137462347746, 0.0606657974421978, -0.06093941628932953, -0.006211825646460056, -0.06667777895927429, -0.021465489640831947, -0.03569779545068741, 0.09751530736684799, 0.02285400591790676, -0.008214241825044155, -0.08029749989509583, -0.013874625787138939, -0.06909780949354172, 0.07282590121030807, -0.027808042243123055, -0.024604931473731995, 0.039173971861600876, -0.05365263298153877, 0.007041195407509804, -0.08453536778688431, -0.04200463742017746, -0.10429497808218002, 0.010309938341379166, -0.04310041293501854, -0.040056340396404266, 0.033145662397146225, 0.046304669231176376, 0.06055298075079918, -0.030081825330853462, 0.04500574246048927, 0.03289097920060158, 0.09890619665384293, 0.010643823072314262, -0.046343881636857986, -0.023484593257308006, 0.03239309415221214, -0.0015310916351154447, -0.03425723686814308, 0.08759012818336487, 0.0190130602568388, -0.013097031973302364, 0.034340500831604004, -0.03461168333888054, 0.01528428215533495, -0.008708246052265167, 0.050060342997312546, 0.033983293920755386, -0.05629891902208328, -0.05564144253730774, 0.03751150891184807, 0.09288901835680008, 0.06673869490623474, -0.006082791835069656, 0.08692383766174316, 0.04679648205637932, 0.0064050802029669285, -0.04000354930758476, -0.05285845324397087, 0.02498592436313629, 0.006262207869440317, -0.02504720725119114, 0.10524836927652359, 0.01369229145348072, 0.12448213994503021, 0.007489769719541073, -0.10498352348804474, 0.03406883776187897, -0.026014918461441994, -0.055381886661052704, -0.0406966507434845, -0.014611546881496906, -0.052823007106781006, 0.02674497291445732, -0.06396015733480453, 0.06484265625476837, -0.04702480882406235, -0.0610647015273571, -0.06855231523513794, 0.006900893058627844, -0.012040436267852783, 0.0229879692196846, -0.04940914362668991, 0.03700769320130348, -0.06080746650695801, 0.0005998956621624529, 0.08331219851970673, -0.004218383692204952, 0.04114820063114166, -0.06344042718410492, 9.138865218433527e-34, -0.02725057303905487, -0.013828951865434647, 0.06400564312934875, -0.05379233509302139, 0.09907952696084976, 0.016529440879821777, -0.01958124339580536, -0.04879021644592285, -0.09576237201690674, 0.06612769514322281, 0.027651412412524223, 0.012608451768755913, -0.020551791414618492, 0.0018105133203789592, 0.035338982939720154, -0.009484211914241314, 0.036349765956401825, -0.041316479444503784, -0.026200706139206886, -0.003038892988115549, 0.09856196492910385, -0.06925701349973679, -0.05121050029993057, -0.000014048692719370592, -0.01780552975833416, -0.0536956861615181, -0.028956938534975052, -0.02635011076927185, -0.006575427483767271, -0.031888581812381744, -0.1116272434592247, -0.002303132088854909, 0.08226799964904785, 0.06796243041753769, -0.03707759827375412, 0.0069692665711045265, -0.07480309158563614, -0.06873636692762375, -0.00474263122305274, -0.04474131390452385, 0.006889089476317167, 0.06492914259433746, -0.050033289939165115, 0.034456778317689896, 0.07650420069694519, -0.010115318931639194, -0.11110345274209976, 0.1390460729598999, -0.011149383150041103, -0.06505318731069565, 0.09114529937505722, 0.03915342316031456, -0.041756171733140945, -0.03149082139134407, 0.04782447963953018, 0.018627667799592018, -0.025438927114009857, 0.033009544014930725, -0.014344931580126286, 0.09096387028694153, -0.07529044151306152, -0.06009357422590256, -0.01601383648812771, -0.03156309947371483, -0.08642866462469101, -0.008814078755676746, -0.09944655001163483, -0.05890820175409317, 0.09168700873851776, 0.005946515593677759, -0.0015628685941919684, 0.05039675906300545, -0.006435452029109001, 0.009191074408590794, 0.04776995629072189, 0.013042435050010681, -0.03958312049508095, -0.1410350203514099, -0.02022353559732437, -0.0024504505563527346, 0.05310012027621269, -0.024475740268826485, -0.013445268385112286, 0.023305468261241913, 0.03151002153754234, -0.08915424346923828, 0.04881269857287407, 0.029617110267281532, -0.012199275195598602, -0.06776626408100128, -0.049683377146720886, -0.0266240406781435, -0.03567230701446533, -0.0027775170747190714, 0.08009587973356247, -2.0462763213404524e-33, -0.0017793594161048532, -0.047142043709754944, -0.025104472413659096, 0.04632977023720741, -0.0855168029665947, -0.06599113345146179, 0.05111486092209816, -0.04434913396835327, 0.06878767162561417, 0.022798148915171623, 0.06335455924272537, -0.01409353967756033, 0.02789035066962242, -0.0012484303442761302, -0.0015426045283675194, 0.0732160210609436, 0.043698687106370926, -0.06062253564596176, 0.019149864092469215, 0.04515724256634712, 0.008870678953826427, 0.09180621802806854, -0.097893126308918, 0.04506377875804901, 0.0530371367931366, 0.04001627862453461, -0.07468435168266296, 0.13234460353851318, -0.02046799845993519, 0.009005379863083363, 0.022299325093626976, 0.019243618473410606, -0.05397866666316986, -0.0862526223063469, 0.03539659082889557, -0.07434957474470139, -0.015477544628083706, 0.008254898712038994, -0.0335545614361763, 0.007161723915487528, 0.06810996681451797, -0.0076278080232441425, 0.013886822387576103, -0.01219977717846632, 0.08796481043100357, 0.05487149953842163, -0.06255580484867096, -0.01919960416853428, -0.004178444854915142, -0.08703505992889404, -0.03895902261137962, -0.09128563106060028, 0.008569777943193913, 0.03849618509411812, -0.01413778681308031, 0.07179959863424301, -0.0025237477384507656, -0.00810458417981863, 0.021071070805191994, -0.039200153201818466, -0.03430904820561409, -0.007692870683968067, 0.018901776522397995, 0.039870329201221466, -0.015188883058726788, -0.07533302903175354, 0.018026160076260567, 0.010234514251351357, 0.011255920864641666, 0.03423765301704407, -0.06851612031459808, 0.09822279959917068, -0.003011243185028434, -0.07035528868436813, -0.02406788058578968, 0.036882948130369186, 0.053836602717638016, 0.10158034414052963, 0.019309738650918007, 0.016213297843933105, -0.042118195444345474, 0.017238372936844826, 0.06361990422010422, 0.04150579869747162, -0.05994462966918945, -0.04976227879524231, 0.040642526000738144, -0.011426695622503757, 0.05061812698841095, 0.004578648135066032, -0.04315725713968277, 0.038220908492803574, -0.006448798347264528, 0.0005460812826640904, -0.025493882596492767, -4.057687519321007e-8, -0.008855455555021763, -0.009882532060146332, -0.03834144398570061, -0.01481425017118454, 0.04917025566101074, -0.06527969986200333, 0.00925726629793644, -0.016348881646990776, -0.0025212501641362906, -0.031466592103242874, 0.03434603661298752, 0.06879743933677673, -0.0033596495632082224, -0.034925177693367004, -0.037068773061037064, 0.07805083692073822, 0.05086482688784599, -0.026675725355744362, -0.0032271381933242083, -0.022519029676914215, -0.01800437644124031, 0.09348926693201065, 0.03745342046022415, 0.06255055963993073, -0.08244267851114273, -0.015586412511765957, -0.001823133323341608, -0.05011352151632309, 0.04224126785993576, -0.01926993578672409, 0.004914409946650267, 0.0061242710798978806, 0.21046367287635803, 0.042435601353645325, 0.048936765640974045, 0.05550244823098183, -0.03980220854282379, 0.046527158468961716, -0.05326743796467781, -0.11153747141361237, -0.0076327845454216, -0.046410080045461655, -0.05330178886651993, -0.025415794923901558, 0.020949402824044228, -0.08285954594612122, -0.004529963713139296, -0.007289758883416653, 0.008883733302354813, 0.09319563210010529, 0.019492221996188164, 0.14044535160064697, -0.0008890890167094767, -0.007522096857428551, -0.045050185173749924, 0.034318502992391586, -0.05733029171824455, 0.007261188700795174, -0.02954019419848919, 0.011936821974813938, -0.06421712040901184, 0.042875878512859344, 0.010794850066304207, -0.02423299290239811 ]
null
null
null
null
null
null
null
[ -0.019508492201566696, 0.02399342693388462, 0.04706745222210884, -0.04283927381038666, -0.028007227927446365, -0.0006777258240617812, 0.05001707375049591, 0.003338736714795232, 0.03624740242958069, 0.05230705812573433, -0.02208380214869976, -0.013667448423802853, 0.07422728836536407, 0.0850796326994896, 0.02666364423930645, 0.07121571153402328, 0.058322977274656296, 0.02468031831085682, -0.000005920497642364353, -0.027461733669042587, -0.07393170893192291, 0.04898824915289879, -0.03046916052699089, -0.007636771537363529, -0.0723055899143219, -0.05275820568203926, -0.1000373512506485, 0.02066318690776825, 0.01861320063471794, 0.018299277871847153, -0.08798957616090775, 0.025421306490898132, -0.017902333289384842, 0.0669802874326706, 0.009118281304836273, 0.05286633223295212, -0.007831159047782421, 0.03853185847401619, -0.0021722137462347746, 0.0606657974421978, -0.06093941628932953, -0.006211825646460056, -0.06667777895927429, -0.021465489640831947, -0.03569779545068741, 0.09751530736684799, 0.02285400591790676, -0.008214241825044155, -0.08029749989509583, -0.013874625787138939, -0.06909780949354172, 0.07282590121030807, -0.027808042243123055, -0.024604931473731995, 0.039173971861600876, -0.05365263298153877, 0.007041195407509804, -0.08453536778688431, -0.04200463742017746, -0.10429497808218002, 0.010309938341379166, -0.04310041293501854, -0.040056340396404266, 0.033145662397146225, 0.046304669231176376, 0.06055298075079918, -0.030081825330853462, 0.04500574246048927, 0.03289097920060158, 0.09890619665384293, 0.010643823072314262, -0.046343881636857986, -0.023484593257308006, 0.03239309415221214, -0.0015310916351154447, -0.03425723686814308, 0.08759012818336487, 0.0190130602568388, -0.013097031973302364, 0.034340500831604004, -0.03461168333888054, 0.01528428215533495, -0.008708246052265167, 0.050060342997312546, 0.033983293920755386, -0.05629891902208328, -0.05564144253730774, 0.03751150891184807, 0.09288901835680008, 0.06673869490623474, -0.006082791835069656, 0.08692383766174316, 0.04679648205637932, 0.0064050802029669285, -0.04000354930758476, -0.05285845324397087, 0.02498592436313629, 0.006262207869440317, -0.02504720725119114, 0.10524836927652359, 0.01369229145348072, 0.12448213994503021, 0.007489769719541073, -0.10498352348804474, 0.03406883776187897, -0.026014918461441994, -0.055381886661052704, -0.0406966507434845, -0.014611546881496906, -0.052823007106781006, 0.02674497291445732, -0.06396015733480453, 0.06484265625476837, -0.04702480882406235, -0.0610647015273571, -0.06855231523513794, 0.006900893058627844, -0.012040436267852783, 0.0229879692196846, -0.04940914362668991, 0.03700769320130348, -0.06080746650695801, 0.0005998956621624529, 0.08331219851970673, -0.004218383692204952, 0.04114820063114166, -0.06344042718410492, 9.138865218433527e-34, -0.02725057303905487, -0.013828951865434647, 0.06400564312934875, -0.05379233509302139, 0.09907952696084976, 0.016529440879821777, -0.01958124339580536, -0.04879021644592285, -0.09576237201690674, 0.06612769514322281, 0.027651412412524223, 0.012608451768755913, -0.020551791414618492, 0.0018105133203789592, 0.035338982939720154, -0.009484211914241314, 0.036349765956401825, -0.041316479444503784, -0.026200706139206886, -0.003038892988115549, 0.09856196492910385, -0.06925701349973679, -0.05121050029993057, -0.000014048692719370592, -0.01780552975833416, -0.0536956861615181, -0.028956938534975052, -0.02635011076927185, -0.006575427483767271, -0.031888581812381744, -0.1116272434592247, -0.002303132088854909, 0.08226799964904785, 0.06796243041753769, -0.03707759827375412, 0.0069692665711045265, -0.07480309158563614, -0.06873636692762375, -0.00474263122305274, -0.04474131390452385, 0.006889089476317167, 0.06492914259433746, -0.050033289939165115, 0.034456778317689896, 0.07650420069694519, -0.010115318931639194, -0.11110345274209976, 0.1390460729598999, -0.011149383150041103, -0.06505318731069565, 0.09114529937505722, 0.03915342316031456, -0.041756171733140945, -0.03149082139134407, 0.04782447963953018, 0.018627667799592018, -0.025438927114009857, 0.033009544014930725, -0.014344931580126286, 0.09096387028694153, -0.07529044151306152, -0.06009357422590256, -0.01601383648812771, -0.03156309947371483, -0.08642866462469101, -0.008814078755676746, -0.09944655001163483, -0.05890820175409317, 0.09168700873851776, 0.005946515593677759, -0.0015628685941919684, 0.05039675906300545, -0.006435452029109001, 0.009191074408590794, 0.04776995629072189, 0.013042435050010681, -0.03958312049508095, -0.1410350203514099, -0.02022353559732437, -0.0024504505563527346, 0.05310012027621269, -0.024475740268826485, -0.013445268385112286, 0.023305468261241913, 0.03151002153754234, -0.08915424346923828, 0.04881269857287407, 0.029617110267281532, -0.012199275195598602, -0.06776626408100128, -0.049683377146720886, -0.0266240406781435, -0.03567230701446533, -0.0027775170747190714, 0.08009587973356247, -2.0462763213404524e-33, -0.0017793594161048532, -0.047142043709754944, -0.025104472413659096, 0.04632977023720741, -0.0855168029665947, -0.06599113345146179, 0.05111486092209816, -0.04434913396835327, 0.06878767162561417, 0.022798148915171623, 0.06335455924272537, -0.01409353967756033, 0.02789035066962242, -0.0012484303442761302, -0.0015426045283675194, 0.0732160210609436, 0.043698687106370926, -0.06062253564596176, 0.019149864092469215, 0.04515724256634712, 0.008870678953826427, 0.09180621802806854, -0.097893126308918, 0.04506377875804901, 0.0530371367931366, 0.04001627862453461, -0.07468435168266296, 0.13234460353851318, -0.02046799845993519, 0.009005379863083363, 0.022299325093626976, 0.019243618473410606, -0.05397866666316986, -0.0862526223063469, 0.03539659082889557, -0.07434957474470139, -0.015477544628083706, 0.008254898712038994, -0.0335545614361763, 0.007161723915487528, 0.06810996681451797, -0.0076278080232441425, 0.013886822387576103, -0.01219977717846632, 0.08796481043100357, 0.05487149953842163, -0.06255580484867096, -0.01919960416853428, -0.004178444854915142, -0.08703505992889404, -0.03895902261137962, -0.09128563106060028, 0.008569777943193913, 0.03849618509411812, -0.01413778681308031, 0.07179959863424301, -0.0025237477384507656, -0.00810458417981863, 0.021071070805191994, -0.039200153201818466, -0.03430904820561409, -0.007692870683968067, 0.018901776522397995, 0.039870329201221466, -0.015188883058726788, -0.07533302903175354, 0.018026160076260567, 0.010234514251351357, 0.011255920864641666, 0.03423765301704407, -0.06851612031459808, 0.09822279959917068, -0.003011243185028434, -0.07035528868436813, -0.02406788058578968, 0.036882948130369186, 0.053836602717638016, 0.10158034414052963, 0.019309738650918007, 0.016213297843933105, -0.042118195444345474, 0.017238372936844826, 0.06361990422010422, 0.04150579869747162, -0.05994462966918945, -0.04976227879524231, 0.040642526000738144, -0.011426695622503757, 0.05061812698841095, 0.004578648135066032, -0.04315725713968277, 0.038220908492803574, -0.006448798347264528, 0.0005460812826640904, -0.025493882596492767, -4.057687519321007e-8, -0.008855455555021763, -0.009882532060146332, -0.03834144398570061, -0.01481425017118454, 0.04917025566101074, -0.06527969986200333, 0.00925726629793644, -0.016348881646990776, -0.0025212501641362906, -0.031466592103242874, 0.03434603661298752, 0.06879743933677673, -0.0033596495632082224, -0.034925177693367004, -0.037068773061037064, 0.07805083692073822, 0.05086482688784599, -0.026675725355744362, -0.0032271381933242083, -0.022519029676914215, -0.01800437644124031, 0.09348926693201065, 0.03745342046022415, 0.06255055963993073, -0.08244267851114273, -0.015586412511765957, -0.001823133323341608, -0.05011352151632309, 0.04224126785993576, -0.01926993578672409, 0.004914409946650267, 0.0061242710798978806, 0.21046367287635803, 0.042435601353645325, 0.048936765640974045, 0.05550244823098183, -0.03980220854282379, 0.046527158468961716, -0.05326743796467781, -0.11153747141361237, -0.0076327845454216, -0.046410080045461655, -0.05330178886651993, -0.025415794923901558, 0.020949402824044228, -0.08285954594612122, -0.004529963713139296, -0.007289758883416653, 0.008883733302354813, 0.09319563210010529, 0.019492221996188164, 0.14044535160064697, -0.0008890890167094767, -0.007522096857428551, -0.045050185173749924, 0.034318502992391586, -0.05733029171824455, 0.007261188700795174, -0.02954019419848919, 0.011936821974813938, -0.06421712040901184, 0.042875878512859344, 0.010794850066304207, -0.02423299290239811 ]
1402.0309
Albert Moll\'en
Albert Moll\'en, Istv\'an Pusztai, Matthew L. Reinke, Yevgen O. Kazakov, Nathan T. Howard, Emily A. Belli, T\"unde F\"ul\"op and the Alcator C-Mod Team
Impurity transport in Alcator C-Mod in the presence of poloidal density variation induced by ion cyclotron resonance heating
32 pages, 12 figures
Plasma Phys. Control. Fusion 56 (2014) 124005
10.1088/0741-3335/56/12/124005
null
physics.plasm-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Impurity particle transport in an ion cyclotron resonance heated Alcator C-Mod discharge is studied with local gyrokinetic simulations and a theoretical model including the effect of poloidal asymmetries and elongation. In spite of the strong minority temperature anisotropy in the deep core region, the poloidal asymmetries are found to have a negligible effect on the turbulent impurity transport due to low magnetic shear in this region, in agreement with the experimental observations. According to the theoretical model, in outer core regions poloidal asymmetries may contribute to the reduction of the impurity peaking, but uncertainties in atomic physics processes prevent quantitative comparison with experiments.
[ { "created": "Mon, 3 Feb 2014 08:57:32 GMT", "version": "v1" }, { "created": "Mon, 10 Nov 2014 15:39:32 GMT", "version": "v2" } ]
2014-11-11
[ [ "Mollén", "Albert", "" ], [ "Pusztai", "István", "" ], [ "Reinke", "Matthew L.", "" ], [ "Kazakov", "Yevgen O.", "" ], [ "Howard", "Nathan T.", "" ], [ "Belli", "Emily A.", "" ], [ "Fülöp", "Tünde", "" ], [ "Team", "the Alcator C-Mod", "" ] ]
[ -0.014956091530621052, 0.0134424502030015, 0.018075497820973396, 0.03510072082281113, -0.04488153010606766, -0.048088327050209045, -0.012437067925930023, 0.021990882232785225, 0.017895111814141273, -0.004759941250085831, 0.05115186423063278, -0.07326976209878922, 0.04953373968601227, -0.01380867324769497, 0.009615432471036911, 0.015141952782869339, 0.025005456060171127, -0.021236350759863853, -0.09569224715232849, -0.011950352229177952, -0.05556038022041321, -0.037965234369039536, -0.0394662469625473, 0.06206436827778816, 0.09125597774982452, -0.03677394986152649, -0.035860635340213776, 0.013583088293671608, -0.05410320684313774, 0.019708240404725075, 0.025640474632382393, -0.016783932223916054, -0.1492193043231964, 0.07594935595989227, 0.0572267547249794, -0.0036752952728420496, -0.061454709619283676, 0.056891068816185, 0.01821490004658699, -0.023328689858317375, 0.018988704308867455, 0.061242446303367615, 0.06014620140194893, 0.1483933925628662, -0.017747564241290092, 0.01949591003358364, 0.13787879049777985, -0.04097941890358925, -0.03875255212187767, 0.049252692610025406, 0.03129179775714874, 0.08614090085029602, -0.0016670272452756763, 0.06382709741592407, -0.08420299738645554, 0.08404857665300369, -0.043381400406360626, 0.007519830018281937, 0.038972157984972, 0.00259901350364089, -0.067151740193367, -0.011575712822377682, 0.00501145888119936, 0.017248792573809624, 0.025585398077964783, -0.057700254023075104, 0.04648853838443756, 0.06174313649535179, 0.03700514882802963, 0.015374933369457722, 0.09335746616125107, -0.013259600847959518, -0.07596605271100998, -0.09347869455814362, 0.04499860852956772, 0.06765513867139816, -0.04099484533071518, -0.028087735176086426, -0.040546610951423645, -0.033987876027822495, -0.04602070525288582, -0.03022042103111744, 0.044375985860824585, -0.06901085376739502, -0.04622712731361389, 0.01634782925248146, 0.031712185591459274, -0.07497700303792953, -0.08737858384847641, -0.015443478710949421, 0.004962597042322159, -0.004033450037240982, -0.005684997420758009, -0.020581403747200966, 0.06576622277498245, 0.052734192460775375, 0.09957154840230942, -0.0016594489570707083, -0.006269949954003096, 0.003935015760362148, 0.058700744062662125, -0.030777648091316223, -0.06661329418420792, 0.05584024265408516, -0.06509428471326828, 0.01905018277466297, 0.10029993951320648, -0.02243165299296379, -0.1069757416844368, 0.02869098074734211, 0.01519098225980997, 0.06488443911075592, -0.03423191234469414, -0.12339533865451813, 0.054880645126104355, 0.045344818383455276, -0.03964471071958542, 0.010393032804131508, -0.04866299033164978, 0.05107985809445381, -0.03569183498620987, 0.00029323672060854733, -0.0490221306681633, 0.06724041700363159, -0.024031808599829674, -0.04157945141196251, -0.04052635282278061, 3.140436013977438e-33, -0.013087093830108643, -0.030838295817375183, -0.03326720371842384, 0.02912682667374611, -0.03879668563604355, -0.09436619281768799, 0.007729522883892059, -0.03756730630993843, -0.055639151483774185, -0.024331729859113693, -0.008006090298295021, 0.02544533461332321, 0.004966970067471266, -0.0423809252679348, -0.082741379737854, -0.04260743781924248, -0.008627967908978462, -0.032402604818344116, -0.029685357585549355, 0.02068430185317993, 0.020056767389178276, 0.010951748117804527, -0.0008792621665634215, -0.002971102949231863, -0.03391584753990173, 0.0009643426164984703, 0.018519723787903786, -0.043964989483356476, -0.08555307984352112, 0.06495910882949829, -0.022367114201188087, 0.033176131546497345, -0.05857029929757118, -0.01626488007605076, 0.00860875379294157, -0.011882049031555653, -0.056975122541189194, -0.03181959688663483, 0.07217542082071304, -0.027457501739263535, -0.05126797780394554, -0.08512168377637863, -0.036146193742752075, 0.11284547299146652, 0.031832098960876465, 0.017571108415722847, 0.027488943189382553, -0.02244865521788597, -0.01492360234260559, -0.026172662153840065, 0.015083614736795425, -0.04888731613755226, 0.06096050888299942, 0.0286147128790617, 0.05693613365292549, -0.048448607325553894, 0.07597459107637405, -0.10878706723451614, -0.020469265058636665, 0.027675362303853035, 0.01897912099957466, 0.08443301916122437, -0.014642653055489063, -0.03140212222933769, -0.014979870058596134, 0.018994305282831192, -0.06440617889165878, 0.07533228397369385, 0.059506263583898544, -0.0195402130484581, 0.0003153375582769513, 0.08104552328586578, 0.05493755266070366, -0.016777966171503067, 0.028297601267695427, 0.05555620789527893, -0.019212350249290466, 0.04007995128631592, 0.018965711817145348, -0.04671193286776543, -0.07931402325630188, -0.05080964416265488, 0.03170142322778702, 0.03016495704650879, -0.05496228486299515, -0.015207800082862377, -0.03592543676495552, -0.012313728220760822, 0.0035186447203159332, 0.035672709345817566, 0.07542834430932999, 0.022954650223255157, 0.10207659751176834, -0.023744096979498863, -0.043947745114564896, -5.1787083208147445e-33, -0.008582361042499542, 0.06581909954547882, -0.015708474442362785, 0.030948935076594353, -0.09336801618337631, 0.033594515174627304, 0.022549163550138474, 0.04202992469072342, -0.029619216918945312, -0.022394409403204918, 0.013142532669007778, 0.019962547346949577, -0.07050736248493195, -0.04549549147486687, 0.01308563631027937, -0.06267190724611282, -0.002357419114559889, -0.02058093436062336, 0.100578173995018, -0.023333655670285225, 0.036859434098005295, -0.0768861472606659, -0.01466336753219366, -0.06524766981601715, 0.00029309760429896414, -0.07650122046470642, -0.06045356020331383, -0.032761964946985245, 0.047925278544425964, 0.06250391900539398, -0.0072317044250667095, 0.08235517889261246, 0.024749811738729477, -0.012819726951420307, 0.015809398144483566, -0.001558539574034512, -0.016844909638166428, 0.02925734966993332, -0.03987175598740578, -0.09411129355430603, -0.017778612673282623, 0.033982690423727036, -0.053203631192445755, -0.050656598061323166, 0.045222967863082886, 0.02067732997238636, -0.006692337803542614, -0.022167129442095757, 0.13506661355495453, 0.02617019973695278, 0.04917902871966362, -0.03359944745898247, 0.02712276391685009, 0.07092703878879547, 0.04275389760732651, 0.10577242821455002, 0.05566452443599701, 0.0183253176510334, 0.02598422020673752, -0.06360242515802383, -0.05319235846400261, -0.05776086449623108, 0.02382737584412098, -0.11894005537033081, -0.07133854180574417, -0.12141138315200806, 0.01846892572939396, 0.07379262149333954, -0.014607141725718975, 0.013281594961881638, 0.026637371629476547, 0.0041666775941848755, -0.002588902600109577, -0.06434863060712814, 0.038759905844926834, 0.018787356093525887, 0.1426195204257965, -0.09011904150247574, -0.01763029210269451, 0.016501186415553093, -0.023061424493789673, 0.12290941178798676, -0.025737186893820763, -0.06722711771726608, 0.09671927988529205, -0.05269485339522362, -0.022526897490024567, -0.042880620807409286, -0.027631843462586403, 0.005888903047889471, 0.031172242015600204, -0.07778765261173248, 0.1254126876592636, -0.08126114308834076, -0.054235342890024185, -4.980555701195044e-8, 0.024729959666728973, 0.05614405870437622, 0.03440047428011894, 0.03683207929134369, 0.07095476239919662, 0.06862364709377289, -0.04462970048189163, -0.031023915857076645, 0.02873132936656475, 0.02678927220404148, 0.04187732934951782, -0.005119241774082184, 0.07176778465509415, -0.04295910522341728, -0.0009344381978735328, 0.037657808512449265, 0.007491401396691799, 0.001162271830253303, 0.0401262529194355, 0.008356955833733082, -0.023702524602413177, 0.017673272639513016, 0.006230720318853855, 0.01631651446223259, -0.02714274264872074, 0.04584215581417084, -0.014766102656722069, 0.009030869230628014, -0.017068475484848022, 0.0083501897752285, -0.07651486992835999, -0.06199817359447479, 0.0770978108048439, -0.052099913358688354, -0.03497489541769028, 0.05818262696266174, 0.0032646460458636284, 0.04819022864103317, -0.0010699074482545257, -0.028930678963661194, -0.05082603171467781, -0.08527496457099915, 0.11114812642335892, 0.028427448123693466, 0.008796105161309242, 0.011931315995752811, -0.07248181104660034, -0.060332924127578735, -0.07768862694501877, 0.0942128524184227, 0.04639264941215515, 0.01797816902399063, 0.022764015942811966, 0.049496445804834366, -0.005791924428194761, -0.03908242657780647, -0.06313755363225937, -0.02051209658384323, 0.027148354798555374, -0.032758671790361404, 0.07222581654787064, 0.022912615910172462, -0.10197915881872177, -0.044685978442430496 ]
null
null
null
null
null
null
null
[ -0.014956091530621052, 0.0134424502030015, 0.018075497820973396, 0.03510072082281113, -0.04488153010606766, -0.048088327050209045, -0.012437067925930023, 0.021990882232785225, 0.017895111814141273, -0.004759941250085831, 0.05115186423063278, -0.07326976209878922, 0.04953373968601227, -0.01380867324769497, 0.009615432471036911, 0.015141952782869339, 0.025005456060171127, -0.021236350759863853, -0.09569224715232849, -0.011950352229177952, -0.05556038022041321, -0.037965234369039536, -0.0394662469625473, 0.06206436827778816, 0.09125597774982452, -0.03677394986152649, -0.035860635340213776, 0.013583088293671608, -0.05410320684313774, 0.019708240404725075, 0.025640474632382393, -0.016783932223916054, -0.1492193043231964, 0.07594935595989227, 0.0572267547249794, -0.0036752952728420496, -0.061454709619283676, 0.056891068816185, 0.01821490004658699, -0.023328689858317375, 0.018988704308867455, 0.061242446303367615, 0.06014620140194893, 0.1483933925628662, -0.017747564241290092, 0.01949591003358364, 0.13787879049777985, -0.04097941890358925, -0.03875255212187767, 0.049252692610025406, 0.03129179775714874, 0.08614090085029602, -0.0016670272452756763, 0.06382709741592407, -0.08420299738645554, 0.08404857665300369, -0.043381400406360626, 0.007519830018281937, 0.038972157984972, 0.00259901350364089, -0.067151740193367, -0.011575712822377682, 0.00501145888119936, 0.017248792573809624, 0.025585398077964783, -0.057700254023075104, 0.04648853838443756, 0.06174313649535179, 0.03700514882802963, 0.015374933369457722, 0.09335746616125107, -0.013259600847959518, -0.07596605271100998, -0.09347869455814362, 0.04499860852956772, 0.06765513867139816, -0.04099484533071518, -0.028087735176086426, -0.040546610951423645, -0.033987876027822495, -0.04602070525288582, -0.03022042103111744, 0.044375985860824585, -0.06901085376739502, -0.04622712731361389, 0.01634782925248146, 0.031712185591459274, -0.07497700303792953, -0.08737858384847641, -0.015443478710949421, 0.004962597042322159, -0.004033450037240982, -0.005684997420758009, -0.020581403747200966, 0.06576622277498245, 0.052734192460775375, 0.09957154840230942, -0.0016594489570707083, -0.006269949954003096, 0.003935015760362148, 0.058700744062662125, -0.030777648091316223, -0.06661329418420792, 0.05584024265408516, -0.06509428471326828, 0.01905018277466297, 0.10029993951320648, -0.02243165299296379, -0.1069757416844368, 0.02869098074734211, 0.01519098225980997, 0.06488443911075592, -0.03423191234469414, -0.12339533865451813, 0.054880645126104355, 0.045344818383455276, -0.03964471071958542, 0.010393032804131508, -0.04866299033164978, 0.05107985809445381, -0.03569183498620987, 0.00029323672060854733, -0.0490221306681633, 0.06724041700363159, -0.024031808599829674, -0.04157945141196251, -0.04052635282278061, 3.140436013977438e-33, -0.013087093830108643, -0.030838295817375183, -0.03326720371842384, 0.02912682667374611, -0.03879668563604355, -0.09436619281768799, 0.007729522883892059, -0.03756730630993843, -0.055639151483774185, -0.024331729859113693, -0.008006090298295021, 0.02544533461332321, 0.004966970067471266, -0.0423809252679348, -0.082741379737854, -0.04260743781924248, -0.008627967908978462, -0.032402604818344116, -0.029685357585549355, 0.02068430185317993, 0.020056767389178276, 0.010951748117804527, -0.0008792621665634215, -0.002971102949231863, -0.03391584753990173, 0.0009643426164984703, 0.018519723787903786, -0.043964989483356476, -0.08555307984352112, 0.06495910882949829, -0.022367114201188087, 0.033176131546497345, -0.05857029929757118, -0.01626488007605076, 0.00860875379294157, -0.011882049031555653, -0.056975122541189194, -0.03181959688663483, 0.07217542082071304, -0.027457501739263535, -0.05126797780394554, -0.08512168377637863, -0.036146193742752075, 0.11284547299146652, 0.031832098960876465, 0.017571108415722847, 0.027488943189382553, -0.02244865521788597, -0.01492360234260559, -0.026172662153840065, 0.015083614736795425, -0.04888731613755226, 0.06096050888299942, 0.0286147128790617, 0.05693613365292549, -0.048448607325553894, 0.07597459107637405, -0.10878706723451614, -0.020469265058636665, 0.027675362303853035, 0.01897912099957466, 0.08443301916122437, -0.014642653055489063, -0.03140212222933769, -0.014979870058596134, 0.018994305282831192, -0.06440617889165878, 0.07533228397369385, 0.059506263583898544, -0.0195402130484581, 0.0003153375582769513, 0.08104552328586578, 0.05493755266070366, -0.016777966171503067, 0.028297601267695427, 0.05555620789527893, -0.019212350249290466, 0.04007995128631592, 0.018965711817145348, -0.04671193286776543, -0.07931402325630188, -0.05080964416265488, 0.03170142322778702, 0.03016495704650879, -0.05496228486299515, -0.015207800082862377, -0.03592543676495552, -0.012313728220760822, 0.0035186447203159332, 0.035672709345817566, 0.07542834430932999, 0.022954650223255157, 0.10207659751176834, -0.023744096979498863, -0.043947745114564896, -5.1787083208147445e-33, -0.008582361042499542, 0.06581909954547882, -0.015708474442362785, 0.030948935076594353, -0.09336801618337631, 0.033594515174627304, 0.022549163550138474, 0.04202992469072342, -0.029619216918945312, -0.022394409403204918, 0.013142532669007778, 0.019962547346949577, -0.07050736248493195, -0.04549549147486687, 0.01308563631027937, -0.06267190724611282, -0.002357419114559889, -0.02058093436062336, 0.100578173995018, -0.023333655670285225, 0.036859434098005295, -0.0768861472606659, -0.01466336753219366, -0.06524766981601715, 0.00029309760429896414, -0.07650122046470642, -0.06045356020331383, -0.032761964946985245, 0.047925278544425964, 0.06250391900539398, -0.0072317044250667095, 0.08235517889261246, 0.024749811738729477, -0.012819726951420307, 0.015809398144483566, -0.001558539574034512, -0.016844909638166428, 0.02925734966993332, -0.03987175598740578, -0.09411129355430603, -0.017778612673282623, 0.033982690423727036, -0.053203631192445755, -0.050656598061323166, 0.045222967863082886, 0.02067732997238636, -0.006692337803542614, -0.022167129442095757, 0.13506661355495453, 0.02617019973695278, 0.04917902871966362, -0.03359944745898247, 0.02712276391685009, 0.07092703878879547, 0.04275389760732651, 0.10577242821455002, 0.05566452443599701, 0.0183253176510334, 0.02598422020673752, -0.06360242515802383, -0.05319235846400261, -0.05776086449623108, 0.02382737584412098, -0.11894005537033081, -0.07133854180574417, -0.12141138315200806, 0.01846892572939396, 0.07379262149333954, -0.014607141725718975, 0.013281594961881638, 0.026637371629476547, 0.0041666775941848755, -0.002588902600109577, -0.06434863060712814, 0.038759905844926834, 0.018787356093525887, 0.1426195204257965, -0.09011904150247574, -0.01763029210269451, 0.016501186415553093, -0.023061424493789673, 0.12290941178798676, -0.025737186893820763, -0.06722711771726608, 0.09671927988529205, -0.05269485339522362, -0.022526897490024567, -0.042880620807409286, -0.027631843462586403, 0.005888903047889471, 0.031172242015600204, -0.07778765261173248, 0.1254126876592636, -0.08126114308834076, -0.054235342890024185, -4.980555701195044e-8, 0.024729959666728973, 0.05614405870437622, 0.03440047428011894, 0.03683207929134369, 0.07095476239919662, 0.06862364709377289, -0.04462970048189163, -0.031023915857076645, 0.02873132936656475, 0.02678927220404148, 0.04187732934951782, -0.005119241774082184, 0.07176778465509415, -0.04295910522341728, -0.0009344381978735328, 0.037657808512449265, 0.007491401396691799, 0.001162271830253303, 0.0401262529194355, 0.008356955833733082, -0.023702524602413177, 0.017673272639513016, 0.006230720318853855, 0.01631651446223259, -0.02714274264872074, 0.04584215581417084, -0.014766102656722069, 0.009030869230628014, -0.017068475484848022, 0.0083501897752285, -0.07651486992835999, -0.06199817359447479, 0.0770978108048439, -0.052099913358688354, -0.03497489541769028, 0.05818262696266174, 0.0032646460458636284, 0.04819022864103317, -0.0010699074482545257, -0.028930678963661194, -0.05082603171467781, -0.08527496457099915, 0.11114812642335892, 0.028427448123693466, 0.008796105161309242, 0.011931315995752811, -0.07248181104660034, -0.060332924127578735, -0.07768862694501877, 0.0942128524184227, 0.04639264941215515, 0.01797816902399063, 0.022764015942811966, 0.049496445804834366, -0.005791924428194761, -0.03908242657780647, -0.06313755363225937, -0.02051209658384323, 0.027148354798555374, -0.032758671790361404, 0.07222581654787064, 0.022912615910172462, -0.10197915881872177, -0.044685978442430496 ]
1402.0310
Muhammad Usman
Muhammad Usman, Eoin P. O'Reilly
Atomistic tight-binding study of electronic structure and interband optical transitions in GaBi$_{x}$As$_{1-x}$/GaAs quantum wells
Accepted for publication in Applied Physics Letters
Applied Physics Letters, 104, 071103, 2014
10.1063/1.4865827
null
cond-mat.mtrl-sci cond-mat.mes-hall physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Large-supercell tight-binding calculations are presented for GaBi$_{x}$As$_{1-x}$/GaAs single quantum wells (QWs) with Bi fractions $x$ of 3.125% and 12.5%. Our results highlight significant distortion of the valence band states due to the alloy disorder. A large full-width-half-maximum (FWHM) is estimated in the ground state interband transition energy ($\approx$ 33 meV) at 3.125% Bi, consistent with recent photovoltage measurements for similar Bi compositions. Additionally, the alloy disorder effects are predicted to become more pronounced as the QW width is increased. However, they are less strong at the higher Bi composition (12.5%) required for the design of temperature-stable lasers, with a calculated FWHM of $\approx$ 23.5 meV at $x$=12.5%.
[ { "created": "Mon, 3 Feb 2014 08:58:47 GMT", "version": "v1" } ]
2014-03-18
[ [ "Usman", "Muhammad", "" ], [ "O'Reilly", "Eoin P.", "" ] ]
[ -0.05562807619571686, 0.05131332948803902, -0.040826812386512756, 0.05879957601428032, -0.09901046007871628, -0.03996953368186951, 0.06587203592061996, 0.04500700905919075, -0.02155579999089241, -0.024980012327432632, -0.0959600955247879, -0.016624731943011284, 0.04741164296865463, -0.02508976310491562, 0.09493233263492584, 0.057653628289699554, 0.08560815453529358, -0.0676201581954956, -0.030758293345570564, 0.06706788390874863, 0.017730453982949257, -0.03323797509074211, -0.01973324455320835, -0.062189485877752304, 0.023364195600152016, 0.005472964607179165, 0.00055443134624511, 0.00330415740609169, -0.005107969045639038, 0.026753494516015053, -0.019354168325662613, 0.05052529275417328, -0.06185891106724739, 0.036018285900354385, 0.005015805829316378, -0.007079348899424076, 0.03253590688109398, -0.027242818847298622, 0.014637444168329239, -0.022916270419955254, -0.01826978102326393, 0.014378724619746208, 0.05054636672139168, 0.06588077545166016, -0.020494205877184868, -0.02322450652718544, -0.04858548939228058, -0.0004508916463237256, -0.09881449490785599, -0.05908855423331261, 0.027117950841784477, -0.012767364270985126, 0.03874603658914566, 0.1109129935503006, 0.0392911471426487, 0.011832659132778645, -0.008878761902451515, 0.11375578492879868, -0.0330926775932312, -0.012828512117266655, -0.02793600969016552, 0.006656199228018522, -0.007648950908333063, -0.006341499276459217, 0.03986409679055214, -0.034779779613018036, 0.011651943437755108, -0.03551587462425232, -0.07896969467401505, 0.0394393727183342, 0.03969668224453926, -0.0010944294044747949, -0.021645694971084595, -0.05994519963860512, 0.06423033773899078, -0.008054729551076889, -0.020752552896738052, 0.03336590155959129, 0.04491596296429634, -0.06058766320347786, -0.0740617960691452, 0.012896367348730564, 0.10145276039838791, 0.0012373036006465554, 0.03167102113366127, -0.06991477310657501, 0.04081295430660248, 0.05597525089979172, 0.005151733756065369, -0.04868140071630478, 0.006902589462697506, 0.037200722843408585, -0.052063751965761185, -0.03763562813401222, 0.06702100485563278, 0.08848801255226135, -0.052563849836587906, -0.07235933095216751, 0.018333688378334045, -0.05096498504281044, 0.07498302310705185, 0.02676006779074669, 0.0077219074591994286, 0.03801487013697624, -0.023365449160337448, 0.005798593163490295, 0.05543407425284386, 0.14389365911483765, -0.09371436387300491, 0.008933727629482746, 0.03929734230041504, 0.022251540794968605, 0.08166655898094177, -0.0453464649617672, -0.05815567076206207, -0.03588571771979332, -0.04010499268770218, 0.09987128525972366, -0.07074663043022156, 0.013179536908864975, -0.07497432827949524, 0.07313161343336105, -0.05111350119113922, 0.06284534931182861, -0.02858074940741062, 0.06655968725681305, -0.08726348727941513, 3.446270624044611e-33, 0.049808017909526825, -0.00002523345574445557, -0.02897743508219719, -0.017561934888362885, -0.037248387932777405, -0.031479205936193466, 0.02786414697766304, -0.027673037722706795, -0.1749134361743927, -0.024125028401613235, 0.08314305543899536, 0.008214523084461689, 0.00913982279598713, 0.012368402443826199, 0.03653557971119881, 0.05697408691048622, -0.07820839434862137, -0.04185807704925537, 0.054050665348768234, 0.011979170143604279, 0.0010461246129125357, 0.0007229459006339312, 0.052418097853660583, 0.11294889450073242, -0.027430498972535133, -0.04875272512435913, 0.0794990137219429, -0.008318996988236904, -0.06264091283082962, -0.0028412346728146076, 0.007948591373860836, 0.02769646607339382, -0.035355109721422195, -0.1012200340628624, 0.04564189910888672, -0.020821690559387207, 0.00043100854963995516, 0.0673011839389801, 0.0022363432217389345, -0.10318443924188614, 0.007870126515626907, 0.005550801288336515, 0.06293120980262756, 0.08032359927892685, 0.033284228295087814, 0.01201411709189415, 0.008178012445569038, 0.025549372658133507, -0.06480085849761963, 0.026865167543292046, 0.0023262258619070053, -0.07922075688838959, -0.08439825475215912, 0.10679445415735245, -0.00750311091542244, 0.07270170003175735, 0.1160438135266304, 0.024643976241350174, 0.02483592927455902, 0.028180237859487534, 0.0450868122279644, 0.01744209975004196, 0.054420106112957, 0.005149617791175842, -0.09780276566743851, 0.055585455149412155, 0.014482333324849606, -0.053035374730825424, -0.04973519220948219, -0.0278340931981802, 0.05584696680307388, -0.021702934056520462, 0.09319770336151123, -0.04513561725616455, 0.04542049393057823, -0.04636526480317116, 0.05632844939827919, -0.11890380829572678, 0.040635086596012115, 0.034798335283994675, -0.023414401337504387, 0.005201086867600679, 0.029200881719589233, -0.015161247923970222, -0.10235405713319778, -0.14962740242481232, -0.04053734615445137, -0.01773672364652157, -0.10005869716405869, 0.08860421925783157, 0.0426296703517437, -0.07932019978761673, 0.0489395372569561, -0.018495868891477585, -0.06985702365636826, -4.793874245558575e-33, 0.05597934126853943, -0.03333323821425438, 0.08424583822488785, 0.009520446881651878, 0.0320766307413578, -0.0682709738612175, 0.025624169036746025, -0.03189968690276146, 0.10159797966480255, 0.015187756158411503, 0.12908178567886353, 0.08340096473693848, -0.009141085669398308, 0.013711757957935333, -0.09269658476114273, -0.043057553470134735, -0.008858022280037403, -0.02617507614195347, 0.0945315733551979, -0.0028878299053758383, 0.031635086983442307, 0.0009500305750407279, -0.0059000528417527676, 0.05434785038232803, -0.02080981805920601, -0.011257931590080261, -0.015367773361504078, -0.01129461545497179, -0.040312185883522034, -0.009620193392038345, -0.006957938428968191, -0.008959373459219933, -0.04695805162191391, -0.03351782262325287, -0.055299077183008194, -0.06585045903921127, -0.059370484203100204, -0.024502113461494446, -0.037046823650598526, -0.08196941763162613, -0.03308873251080513, -0.011474681086838245, -0.046676576137542725, -0.0033638635650277138, 0.04342788830399513, 0.046189069747924805, 0.03368154540657997, -0.02646673657000065, 0.0060957977548241615, 0.014700920321047306, -0.01924692466855049, -0.0022708040196448565, -0.05745181068778038, 0.06788193434476852, -0.027283351868391037, -0.043777719140052795, -0.06899602711200714, 0.02616284228861332, -0.051922447979450226, 0.029149338603019714, 0.009401939809322357, 0.013861279003322124, 0.09646672010421753, -0.013758483342826366, -0.018387742340564728, -0.0137223144993186, 0.030352653935551643, 0.003738377708941698, 0.10471533238887787, -0.01211617887020111, 0.024674521759152412, -0.037264272570610046, 0.029837941750884056, -0.029000135138630867, 0.05818558484315872, -0.056523192673921585, 0.03774189576506615, -0.010613112710416317, 0.022311987355351448, 0.02824568562209606, -0.01002794224768877, 0.07073871046304703, -0.07314792275428772, 0.05462203919887543, 0.01565602980554104, 0.0014765475643798709, 0.0022275305818766356, 0.03001750446856022, -0.025333227589726448, 0.02295626327395439, -0.050043679773807526, -0.08992792665958405, 0.055660754442214966, -0.043879203498363495, -0.01782689429819584, -5.978338890599844e-8, -0.050100598484277725, 0.020434388890862465, 0.011011341586709023, 0.0024280641227960587, 0.06088179722428322, -0.056818850338459015, -0.015181122347712517, 0.04684387519955635, 0.08584622293710709, 0.06512346863746643, 0.0019903797656297684, -0.04456155374646187, -0.053003400564193726, -0.02318304404616356, -0.020252205431461334, -0.04036836326122284, -0.0028682502452284098, -0.026715954765677452, -0.0034024736378341913, -0.06014188379049301, 0.006727092433720827, -0.06851073354482651, 0.10504019260406494, -0.03550982475280762, -0.05208801105618477, -0.04586001858115196, -0.08054516464471817, -0.07176261395215988, -0.013739148154854774, 0.012290926650166512, -0.014131701551377773, -0.0031313940417021513, 0.056609995663166046, 0.03679170459508896, 0.009450268000364304, -0.05946168303489685, -0.04369918256998062, 0.01440702099353075, 0.11800651997327805, 0.036741677671670914, 0.07784196734428406, -0.037641048431396484, 0.09242813289165497, 0.010613526217639446, -0.023841626942157745, 0.01794612966477871, -0.003300389973446727, -0.0019208223093301058, 0.012967081740498543, 0.024605948477983475, 0.040421005338430405, 0.030415847897529602, -0.041674960404634476, -0.02853509597480297, -0.044895101338624954, 0.024689096957445145, -0.005777332931756973, 0.0010367943905293941, 0.05637982115149498, 0.029794905334711075, 0.03232544660568237, -0.09546688944101334, -0.10947708785533905, 0.032369691878557205 ]
null
null
null
null
null
null
null
[ -0.05562807619571686, 0.05131332948803902, -0.040826812386512756, 0.05879957601428032, -0.09901046007871628, -0.03996953368186951, 0.06587203592061996, 0.04500700905919075, -0.02155579999089241, -0.024980012327432632, -0.0959600955247879, -0.016624731943011284, 0.04741164296865463, -0.02508976310491562, 0.09493233263492584, 0.057653628289699554, 0.08560815453529358, -0.0676201581954956, -0.030758293345570564, 0.06706788390874863, 0.017730453982949257, -0.03323797509074211, -0.01973324455320835, -0.062189485877752304, 0.023364195600152016, 0.005472964607179165, 0.00055443134624511, 0.00330415740609169, -0.005107969045639038, 0.026753494516015053, -0.019354168325662613, 0.05052529275417328, -0.06185891106724739, 0.036018285900354385, 0.005015805829316378, -0.007079348899424076, 0.03253590688109398, -0.027242818847298622, 0.014637444168329239, -0.022916270419955254, -0.01826978102326393, 0.014378724619746208, 0.05054636672139168, 0.06588077545166016, -0.020494205877184868, -0.02322450652718544, -0.04858548939228058, -0.0004508916463237256, -0.09881449490785599, -0.05908855423331261, 0.027117950841784477, -0.012767364270985126, 0.03874603658914566, 0.1109129935503006, 0.0392911471426487, 0.011832659132778645, -0.008878761902451515, 0.11375578492879868, -0.0330926775932312, -0.012828512117266655, -0.02793600969016552, 0.006656199228018522, -0.007648950908333063, -0.006341499276459217, 0.03986409679055214, -0.034779779613018036, 0.011651943437755108, -0.03551587462425232, -0.07896969467401505, 0.0394393727183342, 0.03969668224453926, -0.0010944294044747949, -0.021645694971084595, -0.05994519963860512, 0.06423033773899078, -0.008054729551076889, -0.020752552896738052, 0.03336590155959129, 0.04491596296429634, -0.06058766320347786, -0.0740617960691452, 0.012896367348730564, 0.10145276039838791, 0.0012373036006465554, 0.03167102113366127, -0.06991477310657501, 0.04081295430660248, 0.05597525089979172, 0.005151733756065369, -0.04868140071630478, 0.006902589462697506, 0.037200722843408585, -0.052063751965761185, -0.03763562813401222, 0.06702100485563278, 0.08848801255226135, -0.052563849836587906, -0.07235933095216751, 0.018333688378334045, -0.05096498504281044, 0.07498302310705185, 0.02676006779074669, 0.0077219074591994286, 0.03801487013697624, -0.023365449160337448, 0.005798593163490295, 0.05543407425284386, 0.14389365911483765, -0.09371436387300491, 0.008933727629482746, 0.03929734230041504, 0.022251540794968605, 0.08166655898094177, -0.0453464649617672, -0.05815567076206207, -0.03588571771979332, -0.04010499268770218, 0.09987128525972366, -0.07074663043022156, 0.013179536908864975, -0.07497432827949524, 0.07313161343336105, -0.05111350119113922, 0.06284534931182861, -0.02858074940741062, 0.06655968725681305, -0.08726348727941513, 3.446270624044611e-33, 0.049808017909526825, -0.00002523345574445557, -0.02897743508219719, -0.017561934888362885, -0.037248387932777405, -0.031479205936193466, 0.02786414697766304, -0.027673037722706795, -0.1749134361743927, -0.024125028401613235, 0.08314305543899536, 0.008214523084461689, 0.00913982279598713, 0.012368402443826199, 0.03653557971119881, 0.05697408691048622, -0.07820839434862137, -0.04185807704925537, 0.054050665348768234, 0.011979170143604279, 0.0010461246129125357, 0.0007229459006339312, 0.052418097853660583, 0.11294889450073242, -0.027430498972535133, -0.04875272512435913, 0.0794990137219429, -0.008318996988236904, -0.06264091283082962, -0.0028412346728146076, 0.007948591373860836, 0.02769646607339382, -0.035355109721422195, -0.1012200340628624, 0.04564189910888672, -0.020821690559387207, 0.00043100854963995516, 0.0673011839389801, 0.0022363432217389345, -0.10318443924188614, 0.007870126515626907, 0.005550801288336515, 0.06293120980262756, 0.08032359927892685, 0.033284228295087814, 0.01201411709189415, 0.008178012445569038, 0.025549372658133507, -0.06480085849761963, 0.026865167543292046, 0.0023262258619070053, -0.07922075688838959, -0.08439825475215912, 0.10679445415735245, -0.00750311091542244, 0.07270170003175735, 0.1160438135266304, 0.024643976241350174, 0.02483592927455902, 0.028180237859487534, 0.0450868122279644, 0.01744209975004196, 0.054420106112957, 0.005149617791175842, -0.09780276566743851, 0.055585455149412155, 0.014482333324849606, -0.053035374730825424, -0.04973519220948219, -0.0278340931981802, 0.05584696680307388, -0.021702934056520462, 0.09319770336151123, -0.04513561725616455, 0.04542049393057823, -0.04636526480317116, 0.05632844939827919, -0.11890380829572678, 0.040635086596012115, 0.034798335283994675, -0.023414401337504387, 0.005201086867600679, 0.029200881719589233, -0.015161247923970222, -0.10235405713319778, -0.14962740242481232, -0.04053734615445137, -0.01773672364652157, -0.10005869716405869, 0.08860421925783157, 0.0426296703517437, -0.07932019978761673, 0.0489395372569561, -0.018495868891477585, -0.06985702365636826, -4.793874245558575e-33, 0.05597934126853943, -0.03333323821425438, 0.08424583822488785, 0.009520446881651878, 0.0320766307413578, -0.0682709738612175, 0.025624169036746025, -0.03189968690276146, 0.10159797966480255, 0.015187756158411503, 0.12908178567886353, 0.08340096473693848, -0.009141085669398308, 0.013711757957935333, -0.09269658476114273, -0.043057553470134735, -0.008858022280037403, -0.02617507614195347, 0.0945315733551979, -0.0028878299053758383, 0.031635086983442307, 0.0009500305750407279, -0.0059000528417527676, 0.05434785038232803, -0.02080981805920601, -0.011257931590080261, -0.015367773361504078, -0.01129461545497179, -0.040312185883522034, -0.009620193392038345, -0.006957938428968191, -0.008959373459219933, -0.04695805162191391, -0.03351782262325287, -0.055299077183008194, -0.06585045903921127, -0.059370484203100204, -0.024502113461494446, -0.037046823650598526, -0.08196941763162613, -0.03308873251080513, -0.011474681086838245, -0.046676576137542725, -0.0033638635650277138, 0.04342788830399513, 0.046189069747924805, 0.03368154540657997, -0.02646673657000065, 0.0060957977548241615, 0.014700920321047306, -0.01924692466855049, -0.0022708040196448565, -0.05745181068778038, 0.06788193434476852, -0.027283351868391037, -0.043777719140052795, -0.06899602711200714, 0.02616284228861332, -0.051922447979450226, 0.029149338603019714, 0.009401939809322357, 0.013861279003322124, 0.09646672010421753, -0.013758483342826366, -0.018387742340564728, -0.0137223144993186, 0.030352653935551643, 0.003738377708941698, 0.10471533238887787, -0.01211617887020111, 0.024674521759152412, -0.037264272570610046, 0.029837941750884056, -0.029000135138630867, 0.05818558484315872, -0.056523192673921585, 0.03774189576506615, -0.010613112710416317, 0.022311987355351448, 0.02824568562209606, -0.01002794224768877, 0.07073871046304703, -0.07314792275428772, 0.05462203919887543, 0.01565602980554104, 0.0014765475643798709, 0.0022275305818766356, 0.03001750446856022, -0.025333227589726448, 0.02295626327395439, -0.050043679773807526, -0.08992792665958405, 0.055660754442214966, -0.043879203498363495, -0.01782689429819584, -5.978338890599844e-8, -0.050100598484277725, 0.020434388890862465, 0.011011341586709023, 0.0024280641227960587, 0.06088179722428322, -0.056818850338459015, -0.015181122347712517, 0.04684387519955635, 0.08584622293710709, 0.06512346863746643, 0.0019903797656297684, -0.04456155374646187, -0.053003400564193726, -0.02318304404616356, -0.020252205431461334, -0.04036836326122284, -0.0028682502452284098, -0.026715954765677452, -0.0034024736378341913, -0.06014188379049301, 0.006727092433720827, -0.06851073354482651, 0.10504019260406494, -0.03550982475280762, -0.05208801105618477, -0.04586001858115196, -0.08054516464471817, -0.07176261395215988, -0.013739148154854774, 0.012290926650166512, -0.014131701551377773, -0.0031313940417021513, 0.056609995663166046, 0.03679170459508896, 0.009450268000364304, -0.05946168303489685, -0.04369918256998062, 0.01440702099353075, 0.11800651997327805, 0.036741677671670914, 0.07784196734428406, -0.037641048431396484, 0.09242813289165497, 0.010613526217639446, -0.023841626942157745, 0.01794612966477871, -0.003300389973446727, -0.0019208223093301058, 0.012967081740498543, 0.024605948477983475, 0.040421005338430405, 0.030415847897529602, -0.041674960404634476, -0.02853509597480297, -0.044895101338624954, 0.024689096957445145, -0.005777332931756973, 0.0010367943905293941, 0.05637982115149498, 0.029794905334711075, 0.03232544660568237, -0.09546688944101334, -0.10947708785533905, 0.032369691878557205 ]
1402.0313
Michael Heindlmaier
Michael Heindlmaier, Onurcan Iscan
Rate-Distortion Properties of Single-Layer Quantize-and-Forward for Two-Way Relaying
Extended version of submission to ISIT 2014
null
null
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Quantize & Forward (QF) scheme for two-way relaying is studied with a focus on its rate-distortion properties. A sum rate maximization problem is formulated and the associated quantizer optimization problem is investigated. An algorithm to approximately solve the problem is proposed. Under certain cases scalar quantizers maximize the sum rate.
[ { "created": "Mon, 3 Feb 2014 09:12:20 GMT", "version": "v1" } ]
2014-02-04
[ [ "Heindlmaier", "Michael", "" ], [ "Iscan", "Onurcan", "" ] ]
[ 0.056775469332933426, 0.01095897238701582, -0.001682387781329453, -0.05059407278895378, -0.045845791697502136, 0.04576285183429718, 0.024261418730020523, -0.043832018971443176, 0.03471123427152634, 0.03148343786597252, 0.009873349219560623, 0.06642492115497589, 0.04304390773177147, -0.0156398992985487, 0.023671500384807587, 0.1413162350654602, 0.03463955968618393, 0.012418106198310852, -0.03655639663338661, -0.04083137586712837, 0.046767376363277435, -0.02266879193484783, 0.008634882979094982, -0.021560056135058403, 0.061966024339199066, -0.08679201453924179, -0.003053881460800767, -0.011430363170802593, -0.027462726458907127, 0.02703181840479374, -0.03991645574569702, 0.0071487706154584885, -0.06949005275964737, -0.03072870709002018, -0.09399189800024033, -0.010478292591869831, -0.045651525259017944, -0.009357866831123829, 0.004907574038952589, 0.02024899795651436, 0.004571471828967333, -0.018327683210372925, -0.022989410907030106, -0.010093390941619873, -0.034883156418800354, 0.10166268050670624, -0.010672698728740215, 0.15093713998794556, 0.07382776588201523, -0.04087734967470169, 0.04459279775619507, 0.06927461177110672, -0.0030284905806183815, 0.002021568128839135, 0.10892107337713242, 0.00721524516120553, -0.049502354115247726, 0.07395324856042862, -0.010117115452885628, 0.05987328663468361, 0.05621892958879471, 0.03487185761332512, 0.07044506072998047, -0.023345107212662697, 0.00013631227193400264, -0.07764848321676254, -0.003664173884317279, 0.05334167927503586, -0.05529940128326416, 0.05423099920153618, -0.0838671624660492, -0.1333780735731125, 0.013673845678567886, 0.017960242927074432, 0.015341718681156635, 0.006874733604490757, 0.007940102368593216, 0.05843331664800644, -0.02120637707412243, -0.021524352952837944, 0.0876542255282402, -0.056125715374946594, -0.03800983354449272, 0.0044324216432869434, 0.051719021052122116, -0.05038037896156311, -0.0557476244866848, -0.029943035915493965, 0.032460443675518036, 0.005491368006914854, -0.03837719187140465, -0.0034224840346723795, 0.031721681356430054, 0.022397056221961975, 0.03112303465604782, -0.09514166414737701, -0.1056797206401825, 0.05532950907945633, 0.012715451419353485, 0.024165332317352295, 0.021368423476815224, -0.06968974322080612, 0.029366420581936836, -0.011602421291172504, 0.037781763821840286, -0.005637228023260832, 0.0008159003918990493, 0.09353817999362946, 0.014750843867659569, 0.02733866311609745, 0.03432953730225563, 0.007697919383645058, -0.030503755435347557, -0.11198976635932922, -0.042701106518507004, 0.04126323014497757, 0.06432759761810303, 0.11518240720033646, 0.06804729253053665, -0.06855962425470352, -0.02141762338578701, -0.08975408971309662, -0.005536866839975119, -0.000646446191240102, 0.022592857480049133, -0.047840312123298645, 0.023485684767365456, 4.841483327970312e-34, -0.043077923357486725, 0.0712239146232605, -0.006773402914404869, -0.013116869144141674, -0.003953944891691208, 0.078004390001297, 0.06810016930103302, 0.03592034801840782, 0.05326363071799278, -0.007255963049829006, 0.0007150765741243958, -0.06620723754167557, -0.028573215007781982, -0.015338758006691933, 0.04444500058889389, -0.09574608504772186, -0.016125574707984924, -0.022140193730592728, 0.03116866759955883, -0.09916211664676666, 0.08600597083568573, -0.022645315155386925, -0.047287408262491226, -0.015419697389006615, -0.012021567672491074, -0.11649852246046066, 0.061482153832912445, -0.11982715874910355, -0.01461149100214243, -0.019452271983027458, 0.03201711177825928, -0.09578526020050049, -0.004909858573228121, -0.02888762392103672, -0.010499251075088978, 0.034090012311935425, 0.03726523742079735, -0.038633521646261215, 0.015402702614665031, -0.0116147231310606, -0.05147548019886017, -0.038904834538698196, 0.05280086025595665, -0.07984868437051773, -0.08522871136665344, 0.01022387482225895, -0.014518638141453266, -0.01618935912847519, -0.09058894962072372, -0.04323263093829155, -0.004718087613582611, -0.06940560787916183, -0.054631639271974564, 0.11971671879291534, 0.12794721126556396, -0.030526744201779366, 0.025281071662902832, 0.05149821192026138, 0.006067994982004166, 0.05776679888367653, -0.07128084450960159, -0.03059263899922371, -0.029044566676020622, -0.043532174080610275, -0.017462989315390587, -0.016794761642813683, -0.020966574549674988, -0.05049099400639534, 0.024757612496614456, 0.09102685004472733, 0.004618186037987471, 0.04821249470114708, 0.051472026854753494, 0.01214387733489275, 0.029804585501551628, -0.08556588739156723, 0.016974743455648422, 0.015953248366713524, -0.004187384154647589, 0.0035613959189504385, -0.07265257090330124, -0.029542434960603714, -0.010704981163144112, 0.07653631269931793, 0.02244366891682148, 0.041151437908411026, 0.0020301027689129114, 0.05723770707845688, -0.08017205446958542, 0.10295777022838593, -0.07894667983055115, 0.04398520290851593, -0.005980884190648794, 0.05233846604824066, 0.02390635944902897, -4.9654212993427715e-34, -0.10152655094861984, 0.16176912188529968, 0.003455607919022441, 0.09409238398075104, 0.015963690355420113, -0.07500223070383072, 0.008286613039672375, 0.007604058366268873, 0.08062374591827393, 0.0021159567404538393, -0.07334661483764648, -0.04125208407640457, 0.08428248018026352, -0.015944665297865868, -0.020830808207392693, -0.013600128702819347, 0.008901105262339115, 0.04244628921151161, -0.058363642543554306, 0.03390888124704361, -0.03127843141555786, 0.03981921449303627, 0.03630285710096359, -0.06267226487398148, 0.030394185334444046, 0.031437259167432785, 0.09769751876592636, 0.09369272738695145, -0.019954677671194077, 0.015551834367215633, -0.020203648135066032, -0.041038792580366135, 0.011823422275483608, 0.013064723461866379, 0.0017435086192563176, -0.05094432085752487, 0.0062333871610462666, 0.10238823294639587, 0.021987179294228554, 0.05507740378379822, 0.04862634465098381, -0.056941792368888855, -0.02584608644247055, 0.08322116732597351, -0.005640245042741299, -0.015759563073515892, -0.021245282143354416, -0.03086157701909542, -0.03838793560862541, -0.012734324671328068, 0.03316258639097214, -0.06705440580844879, -0.002517514629289508, 0.09081337600946426, -0.022276973351836205, -0.05685453861951828, -0.013954684138298035, 0.06667297333478928, 0.06611964851617813, 0.10658697038888931, 0.03251800686120987, -0.010730904527008533, 0.05101662129163742, 0.006727876141667366, 0.033792540431022644, -0.09810935705900192, -0.0022425397764891386, -0.0569857619702816, 0.030346155166625977, 0.02317153848707676, -0.00316592026501894, 0.06742684543132782, 0.028674291446805, 0.040069837123155594, -0.01781543903052807, 0.019355375319719315, 0.001625743112526834, 0.06347435712814331, 0.025971565395593643, 0.041250258684158325, -0.004116232506930828, 0.017022134736180305, 0.02009870670735836, -0.07814690470695496, 0.006607977207750082, -0.00008458246156806126, 0.11500447243452072, 0.07780452817678452, -0.014362373389303684, -0.019912555813789368, -0.031599681824445724, 0.0023685889318585396, 0.06609257310628891, -0.052792783826589584, -0.035928722470998764, -3.696241179795834e-8, -0.02677229233086109, -0.022713715210556984, -0.02636617049574852, -0.12440938502550125, 0.024230068549513817, 0.05030464753508568, 0.015729891136288643, -0.002047590911388397, -0.009666557423770428, -0.06095584109425545, -0.039465729147195816, 0.06086364760994911, -0.06368923932313919, -0.009186833165585995, -0.09418373554944992, -0.006534806452691555, -0.009630611166357994, -0.11639317870140076, -0.008954430930316448, 0.030696488916873932, -0.05702497810125351, 0.023193396627902985, -0.06618621200323105, 0.021285327151417732, -0.03384026139974594, 0.07015374302864075, 0.024373793974518776, -0.028870973736047745, 0.04468580335378647, 0.020246809348464012, -0.04016214236617088, 0.020634157583117485, 0.045494187623262405, 0.09510798007249832, -0.06435175985097885, 0.035197414457798004, -0.0927690640091896, -0.06711994111537933, -0.06431113928556442, 0.0026901604142040014, 0.0005921373958699405, -0.020517615601420403, -0.02634558081626892, 0.009287375956773758, 0.08629193156957626, 0.019123932346701622, 0.0345323383808136, -0.01407993957400322, -0.07995180785655975, -0.02321784757077694, 0.07082817703485489, 0.019734347239136696, 0.013370489701628685, -0.04561430960893631, 0.0009001877624541521, -0.026025358587503433, -0.0029792441055178642, -0.040217507630586624, 0.04747602343559265, 0.009110929444432259, -0.06919416040182114, 0.020646141842007637, -0.024141503497958183, -0.013395113870501518 ]
null
null
null
null
null
null
null
[ 0.056775469332933426, 0.01095897238701582, -0.001682387781329453, -0.05059407278895378, -0.045845791697502136, 0.04576285183429718, 0.024261418730020523, -0.043832018971443176, 0.03471123427152634, 0.03148343786597252, 0.009873349219560623, 0.06642492115497589, 0.04304390773177147, -0.0156398992985487, 0.023671500384807587, 0.1413162350654602, 0.03463955968618393, 0.012418106198310852, -0.03655639663338661, -0.04083137586712837, 0.046767376363277435, -0.02266879193484783, 0.008634882979094982, -0.021560056135058403, 0.061966024339199066, -0.08679201453924179, -0.003053881460800767, -0.011430363170802593, -0.027462726458907127, 0.02703181840479374, -0.03991645574569702, 0.0071487706154584885, -0.06949005275964737, -0.03072870709002018, -0.09399189800024033, -0.010478292591869831, -0.045651525259017944, -0.009357866831123829, 0.004907574038952589, 0.02024899795651436, 0.004571471828967333, -0.018327683210372925, -0.022989410907030106, -0.010093390941619873, -0.034883156418800354, 0.10166268050670624, -0.010672698728740215, 0.15093713998794556, 0.07382776588201523, -0.04087734967470169, 0.04459279775619507, 0.06927461177110672, -0.0030284905806183815, 0.002021568128839135, 0.10892107337713242, 0.00721524516120553, -0.049502354115247726, 0.07395324856042862, -0.010117115452885628, 0.05987328663468361, 0.05621892958879471, 0.03487185761332512, 0.07044506072998047, -0.023345107212662697, 0.00013631227193400264, -0.07764848321676254, -0.003664173884317279, 0.05334167927503586, -0.05529940128326416, 0.05423099920153618, -0.0838671624660492, -0.1333780735731125, 0.013673845678567886, 0.017960242927074432, 0.015341718681156635, 0.006874733604490757, 0.007940102368593216, 0.05843331664800644, -0.02120637707412243, -0.021524352952837944, 0.0876542255282402, -0.056125715374946594, -0.03800983354449272, 0.0044324216432869434, 0.051719021052122116, -0.05038037896156311, -0.0557476244866848, -0.029943035915493965, 0.032460443675518036, 0.005491368006914854, -0.03837719187140465, -0.0034224840346723795, 0.031721681356430054, 0.022397056221961975, 0.03112303465604782, -0.09514166414737701, -0.1056797206401825, 0.05532950907945633, 0.012715451419353485, 0.024165332317352295, 0.021368423476815224, -0.06968974322080612, 0.029366420581936836, -0.011602421291172504, 0.037781763821840286, -0.005637228023260832, 0.0008159003918990493, 0.09353817999362946, 0.014750843867659569, 0.02733866311609745, 0.03432953730225563, 0.007697919383645058, -0.030503755435347557, -0.11198976635932922, -0.042701106518507004, 0.04126323014497757, 0.06432759761810303, 0.11518240720033646, 0.06804729253053665, -0.06855962425470352, -0.02141762338578701, -0.08975408971309662, -0.005536866839975119, -0.000646446191240102, 0.022592857480049133, -0.047840312123298645, 0.023485684767365456, 4.841483327970312e-34, -0.043077923357486725, 0.0712239146232605, -0.006773402914404869, -0.013116869144141674, -0.003953944891691208, 0.078004390001297, 0.06810016930103302, 0.03592034801840782, 0.05326363071799278, -0.007255963049829006, 0.0007150765741243958, -0.06620723754167557, -0.028573215007781982, -0.015338758006691933, 0.04444500058889389, -0.09574608504772186, -0.016125574707984924, -0.022140193730592728, 0.03116866759955883, -0.09916211664676666, 0.08600597083568573, -0.022645315155386925, -0.047287408262491226, -0.015419697389006615, -0.012021567672491074, -0.11649852246046066, 0.061482153832912445, -0.11982715874910355, -0.01461149100214243, -0.019452271983027458, 0.03201711177825928, -0.09578526020050049, -0.004909858573228121, -0.02888762392103672, -0.010499251075088978, 0.034090012311935425, 0.03726523742079735, -0.038633521646261215, 0.015402702614665031, -0.0116147231310606, -0.05147548019886017, -0.038904834538698196, 0.05280086025595665, -0.07984868437051773, -0.08522871136665344, 0.01022387482225895, -0.014518638141453266, -0.01618935912847519, -0.09058894962072372, -0.04323263093829155, -0.004718087613582611, -0.06940560787916183, -0.054631639271974564, 0.11971671879291534, 0.12794721126556396, -0.030526744201779366, 0.025281071662902832, 0.05149821192026138, 0.006067994982004166, 0.05776679888367653, -0.07128084450960159, -0.03059263899922371, -0.029044566676020622, -0.043532174080610275, -0.017462989315390587, -0.016794761642813683, -0.020966574549674988, -0.05049099400639534, 0.024757612496614456, 0.09102685004472733, 0.004618186037987471, 0.04821249470114708, 0.051472026854753494, 0.01214387733489275, 0.029804585501551628, -0.08556588739156723, 0.016974743455648422, 0.015953248366713524, -0.004187384154647589, 0.0035613959189504385, -0.07265257090330124, -0.029542434960603714, -0.010704981163144112, 0.07653631269931793, 0.02244366891682148, 0.041151437908411026, 0.0020301027689129114, 0.05723770707845688, -0.08017205446958542, 0.10295777022838593, -0.07894667983055115, 0.04398520290851593, -0.005980884190648794, 0.05233846604824066, 0.02390635944902897, -4.9654212993427715e-34, -0.10152655094861984, 0.16176912188529968, 0.003455607919022441, 0.09409238398075104, 0.015963690355420113, -0.07500223070383072, 0.008286613039672375, 0.007604058366268873, 0.08062374591827393, 0.0021159567404538393, -0.07334661483764648, -0.04125208407640457, 0.08428248018026352, -0.015944665297865868, -0.020830808207392693, -0.013600128702819347, 0.008901105262339115, 0.04244628921151161, -0.058363642543554306, 0.03390888124704361, -0.03127843141555786, 0.03981921449303627, 0.03630285710096359, -0.06267226487398148, 0.030394185334444046, 0.031437259167432785, 0.09769751876592636, 0.09369272738695145, -0.019954677671194077, 0.015551834367215633, -0.020203648135066032, -0.041038792580366135, 0.011823422275483608, 0.013064723461866379, 0.0017435086192563176, -0.05094432085752487, 0.0062333871610462666, 0.10238823294639587, 0.021987179294228554, 0.05507740378379822, 0.04862634465098381, -0.056941792368888855, -0.02584608644247055, 0.08322116732597351, -0.005640245042741299, -0.015759563073515892, -0.021245282143354416, -0.03086157701909542, -0.03838793560862541, -0.012734324671328068, 0.03316258639097214, -0.06705440580844879, -0.002517514629289508, 0.09081337600946426, -0.022276973351836205, -0.05685453861951828, -0.013954684138298035, 0.06667297333478928, 0.06611964851617813, 0.10658697038888931, 0.03251800686120987, -0.010730904527008533, 0.05101662129163742, 0.006727876141667366, 0.033792540431022644, -0.09810935705900192, -0.0022425397764891386, -0.0569857619702816, 0.030346155166625977, 0.02317153848707676, -0.00316592026501894, 0.06742684543132782, 0.028674291446805, 0.040069837123155594, -0.01781543903052807, 0.019355375319719315, 0.001625743112526834, 0.06347435712814331, 0.025971565395593643, 0.041250258684158325, -0.004116232506930828, 0.017022134736180305, 0.02009870670735836, -0.07814690470695496, 0.006607977207750082, -0.00008458246156806126, 0.11500447243452072, 0.07780452817678452, -0.014362373389303684, -0.019912555813789368, -0.031599681824445724, 0.0023685889318585396, 0.06609257310628891, -0.052792783826589584, -0.035928722470998764, -3.696241179795834e-8, -0.02677229233086109, -0.022713715210556984, -0.02636617049574852, -0.12440938502550125, 0.024230068549513817, 0.05030464753508568, 0.015729891136288643, -0.002047590911388397, -0.009666557423770428, -0.06095584109425545, -0.039465729147195816, 0.06086364760994911, -0.06368923932313919, -0.009186833165585995, -0.09418373554944992, -0.006534806452691555, -0.009630611166357994, -0.11639317870140076, -0.008954430930316448, 0.030696488916873932, -0.05702497810125351, 0.023193396627902985, -0.06618621200323105, 0.021285327151417732, -0.03384026139974594, 0.07015374302864075, 0.024373793974518776, -0.028870973736047745, 0.04468580335378647, 0.020246809348464012, -0.04016214236617088, 0.020634157583117485, 0.045494187623262405, 0.09510798007249832, -0.06435175985097885, 0.035197414457798004, -0.0927690640091896, -0.06711994111537933, -0.06431113928556442, 0.0026901604142040014, 0.0005921373958699405, -0.020517615601420403, -0.02634558081626892, 0.009287375956773758, 0.08629193156957626, 0.019123932346701622, 0.0345323383808136, -0.01407993957400322, -0.07995180785655975, -0.02321784757077694, 0.07082817703485489, 0.019734347239136696, 0.013370489701628685, -0.04561430960893631, 0.0009001877624541521, -0.026025358587503433, -0.0029792441055178642, -0.040217507630586624, 0.04747602343559265, 0.009110929444432259, -0.06919416040182114, 0.020646141842007637, -0.024141503497958183, -0.013395113870501518 ]
1402.0327
Suman Kumar
Suman Kumar, Sheetal Kalyani, K. Giridhar
Spectrum Allocation for ICIC Based Picocell
Submitted to IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY
null
10.1109/TVT.2014.2360454
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this work, we analytically study the impact of spectrum allocation scheme in picocells on the coverage probability (CP) of the Pico User (PU), when the macro base stations (MBSs) employ either fractional frequency reuse (FFR) or soft frequency reuse (SFR). Assuming a fixed size for the picocell, the CP expression is derived for a PU present in either a FFR or SFR based deployment, and when the PU uses either the centre or the edge frequency resources. Based on these expressions, we propose two possible frequency allocation schemes for the picocell when FFR is employed by the macrocell. The CP and the average rate expressions for both these schemes are derived, and it is shown that these schemes outperform the conventional scheme where no inter-cell interference coordination (ICIC) is assumed. The impact of both schemes on the macro-user performance is also analysed. When SFR is used by the MBS, it is shown that the CP is maximized when the PU uses the same frequency resources as used by the centre region.
[ { "created": "Mon, 3 Feb 2014 10:12:50 GMT", "version": "v1" } ]
2016-11-17
[ [ "Kumar", "Suman", "" ], [ "Kalyani", "Sheetal", "" ], [ "Giridhar", "K.", "" ] ]
[ 0.027390047907829285, 0.014296399429440498, -0.08119352906942368, -0.015362225472927094, -0.06759142875671387, -0.043676041066646576, 0.04264621064066887, 0.029998281970620155, 0.009387604892253876, -0.005080316681414843, -0.022773966193199158, 0.020720956847071648, 0.04066622257232666, -0.04659632593393326, 0.09544039517641068, 0.0067672766745090485, 0.10647465288639069, -0.03047683648765087, -0.05559858679771423, 0.0638122409582138, 0.020109232515096664, -0.08926578611135483, -0.0597245879471302, -0.04584619030356407, 0.025039037689566612, -0.10283268988132477, 0.03158072009682655, 0.057822782546281815, 0.01820378378033638, -0.017360379919409752, -0.005695627070963383, 0.08841657638549805, 0.08437001705169678, 0.012050130404531956, -0.03697311133146286, -0.07580796629190445, -0.028734497725963593, -0.034729670733213425, 0.01655408926308155, 0.07694832980632782, -0.05667540803551674, 0.04949680343270302, -0.05624985694885254, 0.0248040109872818, -0.06603550165891647, -0.0036033622454851866, 0.021297410130500793, 0.04982322081923485, -0.01711428165435791, -0.0804261788725853, 0.06684180349111557, 0.010524514131247997, -0.03575358912348747, 0.09303173422813416, 0.01912449486553669, -0.010947647504508495, -0.07543908804655075, 0.01881972886621952, 0.09992878139019012, 0.11594074964523315, -0.03281290829181671, -0.006121161859482527, -0.057277075946331024, 0.03544870764017105, -0.029763678088784218, -0.05779203027486801, 0.04352806881070137, 0.07726011425256729, 0.01673622988164425, -0.02915448695421219, -0.07025870680809021, -0.02616162598133087, -0.01933186687529087, -0.01962462067604065, 0.053350966423749924, 0.12918129563331604, -0.0330376923084259, -0.03871099650859833, 0.07152827084064484, -0.026578756049275398, 0.01647929660975933, 0.0341360829770565, 0.02657567709684372, -0.11458740383386612, 0.09502960741519928, -0.03125564008951187, 0.06249697506427765, -0.005637874826788902, 0.02165527269244194, -0.06699719280004501, 0.008225339464843273, 0.06934326887130737, 0.02281915210187435, -0.023730842396616936, -0.023921063169836998, 0.018574528396129608, -0.01839454099535942, -0.07172448933124542, 0.015139073133468628, 0.040801435708999634, 0.02322814241051674, -0.12000264972448349, 0.05539047345519066, 0.013123507611453533, -0.028009139001369476, -0.01688467152416706, -0.018331581726670265, 0.07549357414245605, 0.014855226501822472, -0.017280440777540207, -0.03980201110243797, 0.09723035991191864, -0.05668749660253525, 0.013410707004368305, -0.05295456573367119, 0.02597484178841114, 0.035452380776405334, 0.010842905379831791, 0.09113629162311554, -0.06497525423765182, -0.010861193761229515, -0.10410076379776001, -0.017253246158361435, 0.016776544973254204, 0.030671298503875732, 0.0009693417232483625, -0.02254445292055607, 1.9605829668365e-33, -0.12533068656921387, 0.057454273104667664, -0.06966609507799149, -0.012726833112537861, 0.029785459861159325, -0.012549381703138351, -0.044548168778419495, 0.01630949042737484, 0.036300960928201675, -0.005390697158873081, -0.017992421984672546, 0.030598243698477745, 0.026256129145622253, 0.0035773362033069134, 0.06617707759141922, -0.03898928686976433, -0.0078021809458732605, -0.008475528098642826, -0.03901227191090584, 0.04386747628450394, 0.01922483742237091, -0.02814078889787197, 0.03297329694032669, 0.0013034557923674583, 0.01003785990178585, 0.07637443393468857, 0.032476313412189484, -0.10836004465818405, 0.03938218206167221, 0.04810621589422226, 0.014270862564444542, 0.0338268019258976, 0.047981277108192444, 0.03396345302462578, 0.0603034608066082, 0.03872830048203468, 0.03470367193222046, 0.012252370826900005, -0.01961556263267994, 0.027672957628965378, -0.08318713307380676, -0.008856704458594322, -0.06526915729045868, -0.07932420074939728, 0.010907274670898914, -0.12391810119152069, -0.022884005680680275, 0.004065103828907013, -0.023444563150405884, -0.032593756914138794, 0.01788293942809105, -0.020709918811917305, -0.04417762532830238, 0.026769649237394333, 0.15388306975364685, -0.026648178696632385, -0.03320814669132233, -0.0170251727104187, 0.05359819158911705, 0.12179230898618698, -0.04958995804190636, -0.036410845816135406, 0.003550454042851925, 0.08482363075017929, 0.008749823085963726, -0.04029110074043274, -0.06381282210350037, -0.01601998880505562, -0.027301229536533356, 0.057336777448654175, 0.06736574321985245, 0.05655600503087044, 0.011274364776909351, -0.030437489971518517, -0.01951741613447666, 0.04367468133568764, -0.007086792960762978, 0.0636136457324028, -0.08087288588285446, 0.04910553619265556, 0.011976592242717743, 0.005028531886637211, -0.062813401222229, -0.03479699790477753, -0.029193561524152756, -0.012268561869859695, -0.004470277111977339, 0.003516401629894972, -0.12634003162384033, 0.04662268981337547, 0.04140101373195648, 0.006132362876087427, 0.0017611433286219835, -0.021013543009757996, -0.043998606503009796, -3.4119660254677706e-33, 0.033186767250299454, 0.09625853598117828, 0.0268491692841053, -0.06256306916475296, -0.036450255662202835, 0.008469760417938232, 0.07254071533679962, -0.06486527621746063, 0.008530328050255775, -0.06034515053033829, -0.045063793659210205, 0.007764607202261686, -0.025583894923329353, 0.02956107258796692, -0.036297623068094254, -0.026700807735323906, -0.07602649182081223, -0.03223728388547897, -0.08808747678995132, -0.021868497133255005, 0.009463299065828323, -0.07661347836256027, 0.06852319091558456, 0.009530729614198208, 0.013879760168492794, -0.017893720418214798, -0.14917980134487152, 0.0503811240196228, 0.10401596873998642, 0.006156659219413996, -0.03590264543890953, -0.07918480038642883, 0.030583512037992477, -0.02735278382897377, 0.12984031438827515, 0.020849095657467842, 0.014046252705156803, 0.14487384259700775, 0.040875665843486786, 0.07992847263813019, 0.09038133919239044, -0.08621031790971756, -0.05625554919242859, -0.03353628143668175, -0.015037358738481998, 0.026703080162405968, -0.05067956820130348, 0.03444706276059151, -0.027042873203754425, -0.08282649517059326, 0.03660356625914574, -0.057337719947099686, -0.01600663736462593, 0.044018734246492386, -0.02517916075885296, 0.012620195746421814, 0.06539412587881088, -0.0010891571873798966, -0.0382709875702858, 0.02321106195449829, 0.04902391880750656, -0.02866412326693535, 0.0365380123257637, -0.06874432414770126, -0.007279891055077314, 0.04914763569831848, 0.056953124701976776, -0.01773908920586109, -0.03426495939493179, 0.08902446180582047, 0.013719221577048302, 0.02368008717894554, -0.016506915912032127, -0.06098813936114311, -0.036168068647384644, 0.06913942098617554, -0.02865653485059738, -0.012055423110723495, -0.016939722001552582, 0.08178811520338058, -0.07656870782375336, 0.04350100830197334, -0.10112840682268143, -0.028852498158812523, -0.019782546907663345, -0.02852948009967804, 0.06083003804087639, -0.0731750875711441, -0.0005943660507909954, -0.12284991145133972, 0.00612616166472435, 0.024340840056538582, 0.005583904217928648, 0.04199448600411415, 0.002078228397294879, -5.061269803263713e-8, 0.016209838911890984, -0.05996839702129364, -0.011623910628259182, -0.06359788030385971, 0.05713499337434769, -0.07228025048971176, 0.003738005645573139, -0.08142915368080139, 0.024448787793517113, 0.03512079268693924, 0.08288799226284027, 0.033932965248823166, 0.012198795564472675, 0.012790586799383163, 0.05691774934530258, 0.02245900221168995, 0.0049508423544466496, -0.07507836073637009, 0.01899772323668003, -0.026314133778214455, -0.06416836380958557, 0.008666245266795158, 0.031756412237882614, 0.008382759056985378, -0.035703178495168686, 0.040537625551223755, 0.002265485003590584, 0.008265077136456966, 0.04499129578471184, 0.023208845406770706, 0.025793451815843582, 0.04501946270465851, -0.027612924575805664, 0.057444360107183456, -0.03308970853686333, 0.011388711631298065, -0.03145836666226387, -0.027421053498983383, -0.008210182189941406, 0.026902398094534874, 0.04961542785167694, 0.01402306742966175, -0.01412186585366726, 0.03717704117298126, 0.06556212902069092, -0.024688949808478355, 0.005236400756984949, 0.014168829657137394, -0.005455905571579933, -0.0036352172028273344, -0.07156302034854889, 0.11871734261512756, -0.01460348628461361, -0.013800261542201042, -0.05242156982421875, -0.046830419450998306, 0.019111985340714455, -0.08694583177566528, 0.0024931610096246004, 0.04547298327088356, -0.10042499750852585, 0.01754395291209221, -0.08191906660795212, -0.01811898499727249 ]
null
null
null
null
null
null
null
[ 0.027390047907829285, 0.014296399429440498, -0.08119352906942368, -0.015362225472927094, -0.06759142875671387, -0.043676041066646576, 0.04264621064066887, 0.029998281970620155, 0.009387604892253876, -0.005080316681414843, -0.022773966193199158, 0.020720956847071648, 0.04066622257232666, -0.04659632593393326, 0.09544039517641068, 0.0067672766745090485, 0.10647465288639069, -0.03047683648765087, -0.05559858679771423, 0.0638122409582138, 0.020109232515096664, -0.08926578611135483, -0.0597245879471302, -0.04584619030356407, 0.025039037689566612, -0.10283268988132477, 0.03158072009682655, 0.057822782546281815, 0.01820378378033638, -0.017360379919409752, -0.005695627070963383, 0.08841657638549805, 0.08437001705169678, 0.012050130404531956, -0.03697311133146286, -0.07580796629190445, -0.028734497725963593, -0.034729670733213425, 0.01655408926308155, 0.07694832980632782, -0.05667540803551674, 0.04949680343270302, -0.05624985694885254, 0.0248040109872818, -0.06603550165891647, -0.0036033622454851866, 0.021297410130500793, 0.04982322081923485, -0.01711428165435791, -0.0804261788725853, 0.06684180349111557, 0.010524514131247997, -0.03575358912348747, 0.09303173422813416, 0.01912449486553669, -0.010947647504508495, -0.07543908804655075, 0.01881972886621952, 0.09992878139019012, 0.11594074964523315, -0.03281290829181671, -0.006121161859482527, -0.057277075946331024, 0.03544870764017105, -0.029763678088784218, -0.05779203027486801, 0.04352806881070137, 0.07726011425256729, 0.01673622988164425, -0.02915448695421219, -0.07025870680809021, -0.02616162598133087, -0.01933186687529087, -0.01962462067604065, 0.053350966423749924, 0.12918129563331604, -0.0330376923084259, -0.03871099650859833, 0.07152827084064484, -0.026578756049275398, 0.01647929660975933, 0.0341360829770565, 0.02657567709684372, -0.11458740383386612, 0.09502960741519928, -0.03125564008951187, 0.06249697506427765, -0.005637874826788902, 0.02165527269244194, -0.06699719280004501, 0.008225339464843273, 0.06934326887130737, 0.02281915210187435, -0.023730842396616936, -0.023921063169836998, 0.018574528396129608, -0.01839454099535942, -0.07172448933124542, 0.015139073133468628, 0.040801435708999634, 0.02322814241051674, -0.12000264972448349, 0.05539047345519066, 0.013123507611453533, -0.028009139001369476, -0.01688467152416706, -0.018331581726670265, 0.07549357414245605, 0.014855226501822472, -0.017280440777540207, -0.03980201110243797, 0.09723035991191864, -0.05668749660253525, 0.013410707004368305, -0.05295456573367119, 0.02597484178841114, 0.035452380776405334, 0.010842905379831791, 0.09113629162311554, -0.06497525423765182, -0.010861193761229515, -0.10410076379776001, -0.017253246158361435, 0.016776544973254204, 0.030671298503875732, 0.0009693417232483625, -0.02254445292055607, 1.9605829668365e-33, -0.12533068656921387, 0.057454273104667664, -0.06966609507799149, -0.012726833112537861, 0.029785459861159325, -0.012549381703138351, -0.044548168778419495, 0.01630949042737484, 0.036300960928201675, -0.005390697158873081, -0.017992421984672546, 0.030598243698477745, 0.026256129145622253, 0.0035773362033069134, 0.06617707759141922, -0.03898928686976433, -0.0078021809458732605, -0.008475528098642826, -0.03901227191090584, 0.04386747628450394, 0.01922483742237091, -0.02814078889787197, 0.03297329694032669, 0.0013034557923674583, 0.01003785990178585, 0.07637443393468857, 0.032476313412189484, -0.10836004465818405, 0.03938218206167221, 0.04810621589422226, 0.014270862564444542, 0.0338268019258976, 0.047981277108192444, 0.03396345302462578, 0.0603034608066082, 0.03872830048203468, 0.03470367193222046, 0.012252370826900005, -0.01961556263267994, 0.027672957628965378, -0.08318713307380676, -0.008856704458594322, -0.06526915729045868, -0.07932420074939728, 0.010907274670898914, -0.12391810119152069, -0.022884005680680275, 0.004065103828907013, -0.023444563150405884, -0.032593756914138794, 0.01788293942809105, -0.020709918811917305, -0.04417762532830238, 0.026769649237394333, 0.15388306975364685, -0.026648178696632385, -0.03320814669132233, -0.0170251727104187, 0.05359819158911705, 0.12179230898618698, -0.04958995804190636, -0.036410845816135406, 0.003550454042851925, 0.08482363075017929, 0.008749823085963726, -0.04029110074043274, -0.06381282210350037, -0.01601998880505562, -0.027301229536533356, 0.057336777448654175, 0.06736574321985245, 0.05655600503087044, 0.011274364776909351, -0.030437489971518517, -0.01951741613447666, 0.04367468133568764, -0.007086792960762978, 0.0636136457324028, -0.08087288588285446, 0.04910553619265556, 0.011976592242717743, 0.005028531886637211, -0.062813401222229, -0.03479699790477753, -0.029193561524152756, -0.012268561869859695, -0.004470277111977339, 0.003516401629894972, -0.12634003162384033, 0.04662268981337547, 0.04140101373195648, 0.006132362876087427, 0.0017611433286219835, -0.021013543009757996, -0.043998606503009796, -3.4119660254677706e-33, 0.033186767250299454, 0.09625853598117828, 0.0268491692841053, -0.06256306916475296, -0.036450255662202835, 0.008469760417938232, 0.07254071533679962, -0.06486527621746063, 0.008530328050255775, -0.06034515053033829, -0.045063793659210205, 0.007764607202261686, -0.025583894923329353, 0.02956107258796692, -0.036297623068094254, -0.026700807735323906, -0.07602649182081223, -0.03223728388547897, -0.08808747678995132, -0.021868497133255005, 0.009463299065828323, -0.07661347836256027, 0.06852319091558456, 0.009530729614198208, 0.013879760168492794, -0.017893720418214798, -0.14917980134487152, 0.0503811240196228, 0.10401596873998642, 0.006156659219413996, -0.03590264543890953, -0.07918480038642883, 0.030583512037992477, -0.02735278382897377, 0.12984031438827515, 0.020849095657467842, 0.014046252705156803, 0.14487384259700775, 0.040875665843486786, 0.07992847263813019, 0.09038133919239044, -0.08621031790971756, -0.05625554919242859, -0.03353628143668175, -0.015037358738481998, 0.026703080162405968, -0.05067956820130348, 0.03444706276059151, -0.027042873203754425, -0.08282649517059326, 0.03660356625914574, -0.057337719947099686, -0.01600663736462593, 0.044018734246492386, -0.02517916075885296, 0.012620195746421814, 0.06539412587881088, -0.0010891571873798966, -0.0382709875702858, 0.02321106195449829, 0.04902391880750656, -0.02866412326693535, 0.0365380123257637, -0.06874432414770126, -0.007279891055077314, 0.04914763569831848, 0.056953124701976776, -0.01773908920586109, -0.03426495939493179, 0.08902446180582047, 0.013719221577048302, 0.02368008717894554, -0.016506915912032127, -0.06098813936114311, -0.036168068647384644, 0.06913942098617554, -0.02865653485059738, -0.012055423110723495, -0.016939722001552582, 0.08178811520338058, -0.07656870782375336, 0.04350100830197334, -0.10112840682268143, -0.028852498158812523, -0.019782546907663345, -0.02852948009967804, 0.06083003804087639, -0.0731750875711441, -0.0005943660507909954, -0.12284991145133972, 0.00612616166472435, 0.024340840056538582, 0.005583904217928648, 0.04199448600411415, 0.002078228397294879, -5.061269803263713e-8, 0.016209838911890984, -0.05996839702129364, -0.011623910628259182, -0.06359788030385971, 0.05713499337434769, -0.07228025048971176, 0.003738005645573139, -0.08142915368080139, 0.024448787793517113, 0.03512079268693924, 0.08288799226284027, 0.033932965248823166, 0.012198795564472675, 0.012790586799383163, 0.05691774934530258, 0.02245900221168995, 0.0049508423544466496, -0.07507836073637009, 0.01899772323668003, -0.026314133778214455, -0.06416836380958557, 0.008666245266795158, 0.031756412237882614, 0.008382759056985378, -0.035703178495168686, 0.040537625551223755, 0.002265485003590584, 0.008265077136456966, 0.04499129578471184, 0.023208845406770706, 0.025793451815843582, 0.04501946270465851, -0.027612924575805664, 0.057444360107183456, -0.03308970853686333, 0.011388711631298065, -0.03145836666226387, -0.027421053498983383, -0.008210182189941406, 0.026902398094534874, 0.04961542785167694, 0.01402306742966175, -0.01412186585366726, 0.03717704117298126, 0.06556212902069092, -0.024688949808478355, 0.005236400756984949, 0.014168829657137394, -0.005455905571579933, -0.0036352172028273344, -0.07156302034854889, 0.11871734261512756, -0.01460348628461361, -0.013800261542201042, -0.05242156982421875, -0.046830419450998306, 0.019111985340714455, -0.08694583177566528, 0.0024931610096246004, 0.04547298327088356, -0.10042499750852585, 0.01754395291209221, -0.08191906660795212, -0.01811898499727249 ]
1402.0329
Teimuraz Zaqarashvili
Teimuraz Zaqarashvili, Zolt\'an V\"or\"os, Yasuhito Narita, Roberto Bruno
Twisted magnetic flux tubes in the solar wind
4 pages, 4 figures, accepted in ApJL
null
10.1088/2041-8205/783/1/L19
null
astro-ph.SR physics.space-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Magnetic flux tubes in the solar wind can be twisted as they are transported from the solar surface, where the tubes are twisted owing to photospheric motions. It is suggested that the twisted magnetic tubes can be detected as the variation of total (thermal+magnetic) pressure during their passage through observing satellite. We show that the total pressure of several observed twisted tubes resembles the theoretically expected profile. The twist of isolated magnetic tube may explain the observed abrupt changes of magnetic field direction at tube walls. We have also found some evidence that the flux tube walls can be associated with local heating of the plasma and elevated proton and electron temperatures. For the tubes aligned with the Parker spiral, the twist angle can be estimated from the change of magnetic field direction. Stability analysis of twisted tubes shows that the critical twist angle of the tube with a homogeneous twist is 70$^0$, but the angle can further decrease owing to the motion of the tube with regards to the solar wind stream. The tubes with a stronger twist are unstable to the kink instability, therefore they probably can not reach 1 AU.
[ { "created": "Mon, 3 Feb 2014 10:18:06 GMT", "version": "v1" } ]
2015-06-18
[ [ "Zaqarashvili", "Teimuraz", "" ], [ "Vörös", "Zoltán", "" ], [ "Narita", "Yasuhito", "" ], [ "Bruno", "Roberto", "" ] ]
[ -0.06693143397569656, 0.027064019814133644, -0.008425122126936913, 0.0020755245350301266, -0.021987013518810272, -0.037198569625616074, -0.030709709972143173, 0.03551161289215088, -0.0020259830635041, -0.004027742892503738, -0.011536197736859322, -0.0008980026468634605, 0.03437593951821327, -0.09185007959604263, 0.08250843733549118, -0.03088078275322914, -0.05949435010552406, -0.014199585653841496, -0.011968621984124184, 0.05329342558979988, -0.06974108517169952, -0.034410275518894196, -0.01987120509147644, -0.010299737565219402, 0.057280924171209335, 0.029736824333667755, -0.04091900587081909, -0.035305656492710114, -0.07544393837451935, -0.01245703361928463, -0.014727761037647724, 0.04130995273590088, -0.24496117234230042, 0.06346429139375687, 0.058204300701618195, -0.03398508206009865, -0.025152694433927536, 0.013935008086264133, -0.039886292070150375, 0.056044742465019226, 0.045365821570158005, -0.09444887191057205, -0.01520882360637188, -0.0279410257935524, -0.02158609963953495, 0.02746257558465004, 0.038631316274404526, 0.047812920063734055, 0.044383704662323, 0.04235640913248062, -0.054771360009908676, 0.013797415420413017, -0.007541552186012268, 0.03770854324102402, -0.021242180839180946, 0.018070243299007416, 0.03593027591705322, -0.01675589196383953, 0.0397178940474987, 0.028512246906757355, 0.061992306262254715, -0.10972672700881958, -0.09769506007432938, 0.05527781695127487, 0.026617981493473053, -0.009164927527308464, -0.003969635348767042, -0.019643953070044518, 0.043896399438381195, -0.11717630177736282, -0.01047040056437254, 0.061927493661642075, -0.13348454236984253, -0.07484006136655807, -0.014546772465109825, 0.011366108432412148, 0.06256969273090363, -0.01921801082789898, 0.06829020380973816, 0.005525708664208651, -0.04409041255712509, 0.032058510929346085, -0.03982773423194885, 0.02858414687216282, -0.08098248392343521, 0.0822158083319664, 0.01792014017701149, 0.0417192280292511, -0.02673950232565403, 0.06415528059005737, 0.0054970672354102135, -0.06202966719865799, -0.03409722074866295, 0.017402445897459984, 0.08771141618490219, 0.07735946029424667, 0.009376373142004013, -0.09696211665868759, -0.007684983778744936, -0.005773529410362244, 0.04999067634344101, -0.038583386689424515, 0.03731713816523552, 0.042641669511795044, -0.007357651833444834, 0.05795927345752716, 0.04057933762669563, -0.004325149580836296, -0.06491541117429733, 0.03260488063097, -0.041873205453157425, 0.048497967422008514, 0.005370915401726961, -0.10185358673334122, 0.025195598602294922, -0.01621958613395691, 0.03234671801328659, 0.07507829368114471, -0.1117885410785675, 0.061250705271959305, 0.02300051972270012, 0.05213039740920067, 0.026043396443128586, 0.07310688495635986, -0.0019556116312742233, -0.017594827339053154, -0.03938957676291466, 1.9442263302867924e-33, 0.0466269925236702, 0.06187586858868599, 0.0607953742146492, 0.02501029707491398, -0.05019908398389816, 0.03542309254407883, -0.04790392890572548, 0.06650684773921967, 0.0060028256848454475, 0.015058722347021103, -0.06865722686052322, 0.04092886298894882, -0.015571213327348232, -0.024356959387660027, -0.046105317771434784, -0.03794868290424347, 0.06141229718923569, -0.03956792876124382, -0.04245389252901077, 0.05155455693602562, -0.07144203037023544, 0.014026612043380737, 0.05679326876997948, -0.06530342996120453, -0.03247684985399246, 0.026392364874482155, 0.013548893854022026, 0.03500445932149887, -0.06270917505025864, 0.028738688677549362, 0.03281347453594208, -0.08179072290658951, -0.04954523965716362, 0.07707531005144119, -0.06466971337795258, -0.028661886230111122, -0.07569362968206406, -0.02778555452823639, -0.022703884169459343, 0.008882737718522549, -0.009566375985741615, 0.039734527468681335, -0.0005208599613979459, 0.0999574214220047, 0.025684207677841187, 0.04892241209745407, 0.054741811007261276, -0.08241977542638779, -0.034283991903066635, 0.03535658121109009, 0.06276076287031174, 0.08119327574968338, -0.05507916957139969, -0.016620440408587456, 0.14368312060832977, -0.007412302773445845, 0.02176845818758011, 0.018251072615385056, -0.09070387482643127, 0.0015805679140612483, 0.04811590164899826, 0.027928000316023827, -0.022677971050143242, -0.03263614699244499, -0.042809031903743744, 0.04727128893136978, -0.022993821650743484, 0.10173056274652481, -0.03959254175424576, -0.08024656027555466, -0.09271089732646942, 0.031317610293626785, -0.010534736327826977, -0.019539477303624153, -0.018015781417489052, 0.031941331923007965, 0.004312489647418261, -0.00574768939986825, 0.06499200314283371, -0.010596523061394691, -0.0394095815718174, -0.03023151122033596, 0.07115858048200607, -0.046475887298583984, -0.06736364215612411, 0.029835382476449013, -0.00878231879323721, -0.012658048421144485, -0.02060770057141781, -0.05389454960823059, 0.05595647543668747, 0.07632899284362793, 0.07887199521064758, 0.016343016177415848, -0.05003819614648819, -4.096817115780497e-33, -0.0892305076122284, -0.02369544468820095, -0.06651809811592102, -0.009245033375918865, 0.0340183824300766, 0.055652908980846405, 0.013366751372814178, 0.010978184640407562, -0.04156682267785072, -0.023128634318709373, -0.04734472930431366, -0.005282150115817785, -0.005673539824783802, -0.034311216324567795, 0.09139955043792725, -0.04708453267812729, -0.025807837024331093, 0.04414669796824455, -0.012623639777302742, 0.06474626809358597, 0.0026495966594666243, 0.053539108484983444, 0.00421950314193964, 0.004269093740731478, -0.024483850225806236, 0.015725865960121155, 0.010457854717969894, -0.05920695513486862, 0.05610094591975212, 0.06394882500171661, 0.017845962196588516, -0.0025434396229684353, 0.0062299990095198154, 0.05651121214032173, 0.001471996889449656, -0.0031826761551201344, -0.027227623388171196, -0.03367730230093002, 0.033103544265031815, -0.03104492463171482, -0.05698070302605629, 0.07036488503217697, 0.021663520485162735, -0.10256026685237885, -0.0254029743373394, 0.017499901354312897, 0.03760905563831329, 0.015635894611477852, -0.04737994819879532, 0.018137088045477867, -0.03601178899407387, -0.009592108428478241, -0.01285585854202509, 0.05649721994996071, 0.0025734123773872852, 0.015090934000909328, 0.024140162393450737, 0.06352771818637848, 0.048846740275621414, -0.05420513078570366, -0.032873187214136124, -0.035975825041532516, 0.07041885703802109, -0.025489216670393944, 0.013985049910843372, 0.0011480125831440091, 0.07835933566093445, -0.033933136612176895, -0.03456982597708702, 0.008735769428312778, 0.11505070328712463, -0.00019092619186267257, 0.0074714114889502525, -0.047595612704753876, 0.10552901029586792, 0.07046683132648468, 0.05324452370405197, -0.06998055428266525, -0.025112267583608627, -0.014322560280561447, -0.06594069302082062, 0.040108390152454376, -0.0002650800161063671, -0.05277235433459282, 0.018339267000555992, -0.03508023917675018, -0.0039418404921889305, -0.11150985211133957, -0.039649732410907745, 0.07009924203157425, 0.03914735093712807, 0.0003897812566719949, 0.026973221451044083, 0.05433330684900284, 0.061135757714509964, -4.703702316533054e-8, 0.03839719295501709, 0.032324932515621185, 0.006365902256220579, 0.04799285903573036, 0.02951996773481369, 0.01811746507883072, -0.004889685194939375, 0.004288052208721638, 0.01967076025903225, -0.021530818194150925, 0.07416363805532455, 0.04146234691143036, 0.09610361605882645, -0.00992539431899786, 0.000774312240537256, -0.01767137087881565, -0.05250734090805054, -0.05668986588716507, 0.036242518573999405, 0.040298573672771454, 0.0641891211271286, -0.00035916970227845013, 0.03133537992835045, -0.01564744859933853, -0.010794566944241524, 0.03958219662308693, -0.014125791378319263, 0.04170399531722069, 0.011786757037043571, -0.028336690738797188, -0.05518623813986778, -0.06622223556041718, 0.018771501258015633, -0.13834437727928162, -0.16226333379745483, 0.07502102106809616, -0.05972496047616005, 0.0213368758559227, 0.07021995633840561, 0.09800101071596146, 0.02364446222782135, -0.016088811680674553, 0.007900776341557503, 0.009113788604736328, -0.049980975687503815, 0.022901158779859543, 0.05458355322480202, -0.023284027352929115, -0.10043221712112427, -0.04621370881795883, -0.06083264946937561, 0.06198495998978615, 0.0437488853931427, -0.044134415686130524, -0.03986803814768791, 0.04088211432099342, -0.10622141510248184, -0.00895302277058363, 0.0038986532017588615, 0.006635963451117277, -0.08404228836297989, 0.0051613496616482735, -0.15256866812705994, -0.050375234335660934 ]
null
null
null
null
null
null
null
[ -0.06693143397569656, 0.027064019814133644, -0.008425122126936913, 0.0020755245350301266, -0.021987013518810272, -0.037198569625616074, -0.030709709972143173, 0.03551161289215088, -0.0020259830635041, -0.004027742892503738, -0.011536197736859322, -0.0008980026468634605, 0.03437593951821327, -0.09185007959604263, 0.08250843733549118, -0.03088078275322914, -0.05949435010552406, -0.014199585653841496, -0.011968621984124184, 0.05329342558979988, -0.06974108517169952, -0.034410275518894196, -0.01987120509147644, -0.010299737565219402, 0.057280924171209335, 0.029736824333667755, -0.04091900587081909, -0.035305656492710114, -0.07544393837451935, -0.01245703361928463, -0.014727761037647724, 0.04130995273590088, -0.24496117234230042, 0.06346429139375687, 0.058204300701618195, -0.03398508206009865, -0.025152694433927536, 0.013935008086264133, -0.039886292070150375, 0.056044742465019226, 0.045365821570158005, -0.09444887191057205, -0.01520882360637188, -0.0279410257935524, -0.02158609963953495, 0.02746257558465004, 0.038631316274404526, 0.047812920063734055, 0.044383704662323, 0.04235640913248062, -0.054771360009908676, 0.013797415420413017, -0.007541552186012268, 0.03770854324102402, -0.021242180839180946, 0.018070243299007416, 0.03593027591705322, -0.01675589196383953, 0.0397178940474987, 0.028512246906757355, 0.061992306262254715, -0.10972672700881958, -0.09769506007432938, 0.05527781695127487, 0.026617981493473053, -0.009164927527308464, -0.003969635348767042, -0.019643953070044518, 0.043896399438381195, -0.11717630177736282, -0.01047040056437254, 0.061927493661642075, -0.13348454236984253, -0.07484006136655807, -0.014546772465109825, 0.011366108432412148, 0.06256969273090363, -0.01921801082789898, 0.06829020380973816, 0.005525708664208651, -0.04409041255712509, 0.032058510929346085, -0.03982773423194885, 0.02858414687216282, -0.08098248392343521, 0.0822158083319664, 0.01792014017701149, 0.0417192280292511, -0.02673950232565403, 0.06415528059005737, 0.0054970672354102135, -0.06202966719865799, -0.03409722074866295, 0.017402445897459984, 0.08771141618490219, 0.07735946029424667, 0.009376373142004013, -0.09696211665868759, -0.007684983778744936, -0.005773529410362244, 0.04999067634344101, -0.038583386689424515, 0.03731713816523552, 0.042641669511795044, -0.007357651833444834, 0.05795927345752716, 0.04057933762669563, -0.004325149580836296, -0.06491541117429733, 0.03260488063097, -0.041873205453157425, 0.048497967422008514, 0.005370915401726961, -0.10185358673334122, 0.025195598602294922, -0.01621958613395691, 0.03234671801328659, 0.07507829368114471, -0.1117885410785675, 0.061250705271959305, 0.02300051972270012, 0.05213039740920067, 0.026043396443128586, 0.07310688495635986, -0.0019556116312742233, -0.017594827339053154, -0.03938957676291466, 1.9442263302867924e-33, 0.0466269925236702, 0.06187586858868599, 0.0607953742146492, 0.02501029707491398, -0.05019908398389816, 0.03542309254407883, -0.04790392890572548, 0.06650684773921967, 0.0060028256848454475, 0.015058722347021103, -0.06865722686052322, 0.04092886298894882, -0.015571213327348232, -0.024356959387660027, -0.046105317771434784, -0.03794868290424347, 0.06141229718923569, -0.03956792876124382, -0.04245389252901077, 0.05155455693602562, -0.07144203037023544, 0.014026612043380737, 0.05679326876997948, -0.06530342996120453, -0.03247684985399246, 0.026392364874482155, 0.013548893854022026, 0.03500445932149887, -0.06270917505025864, 0.028738688677549362, 0.03281347453594208, -0.08179072290658951, -0.04954523965716362, 0.07707531005144119, -0.06466971337795258, -0.028661886230111122, -0.07569362968206406, -0.02778555452823639, -0.022703884169459343, 0.008882737718522549, -0.009566375985741615, 0.039734527468681335, -0.0005208599613979459, 0.0999574214220047, 0.025684207677841187, 0.04892241209745407, 0.054741811007261276, -0.08241977542638779, -0.034283991903066635, 0.03535658121109009, 0.06276076287031174, 0.08119327574968338, -0.05507916957139969, -0.016620440408587456, 0.14368312060832977, -0.007412302773445845, 0.02176845818758011, 0.018251072615385056, -0.09070387482643127, 0.0015805679140612483, 0.04811590164899826, 0.027928000316023827, -0.022677971050143242, -0.03263614699244499, -0.042809031903743744, 0.04727128893136978, -0.022993821650743484, 0.10173056274652481, -0.03959254175424576, -0.08024656027555466, -0.09271089732646942, 0.031317610293626785, -0.010534736327826977, -0.019539477303624153, -0.018015781417489052, 0.031941331923007965, 0.004312489647418261, -0.00574768939986825, 0.06499200314283371, -0.010596523061394691, -0.0394095815718174, -0.03023151122033596, 0.07115858048200607, -0.046475887298583984, -0.06736364215612411, 0.029835382476449013, -0.00878231879323721, -0.012658048421144485, -0.02060770057141781, -0.05389454960823059, 0.05595647543668747, 0.07632899284362793, 0.07887199521064758, 0.016343016177415848, -0.05003819614648819, -4.096817115780497e-33, -0.0892305076122284, -0.02369544468820095, -0.06651809811592102, -0.009245033375918865, 0.0340183824300766, 0.055652908980846405, 0.013366751372814178, 0.010978184640407562, -0.04156682267785072, -0.023128634318709373, -0.04734472930431366, -0.005282150115817785, -0.005673539824783802, -0.034311216324567795, 0.09139955043792725, -0.04708453267812729, -0.025807837024331093, 0.04414669796824455, -0.012623639777302742, 0.06474626809358597, 0.0026495966594666243, 0.053539108484983444, 0.00421950314193964, 0.004269093740731478, -0.024483850225806236, 0.015725865960121155, 0.010457854717969894, -0.05920695513486862, 0.05610094591975212, 0.06394882500171661, 0.017845962196588516, -0.0025434396229684353, 0.0062299990095198154, 0.05651121214032173, 0.001471996889449656, -0.0031826761551201344, -0.027227623388171196, -0.03367730230093002, 0.033103544265031815, -0.03104492463171482, -0.05698070302605629, 0.07036488503217697, 0.021663520485162735, -0.10256026685237885, -0.0254029743373394, 0.017499901354312897, 0.03760905563831329, 0.015635894611477852, -0.04737994819879532, 0.018137088045477867, -0.03601178899407387, -0.009592108428478241, -0.01285585854202509, 0.05649721994996071, 0.0025734123773872852, 0.015090934000909328, 0.024140162393450737, 0.06352771818637848, 0.048846740275621414, -0.05420513078570366, -0.032873187214136124, -0.035975825041532516, 0.07041885703802109, -0.025489216670393944, 0.013985049910843372, 0.0011480125831440091, 0.07835933566093445, -0.033933136612176895, -0.03456982597708702, 0.008735769428312778, 0.11505070328712463, -0.00019092619186267257, 0.0074714114889502525, -0.047595612704753876, 0.10552901029586792, 0.07046683132648468, 0.05324452370405197, -0.06998055428266525, -0.025112267583608627, -0.014322560280561447, -0.06594069302082062, 0.040108390152454376, -0.0002650800161063671, -0.05277235433459282, 0.018339267000555992, -0.03508023917675018, -0.0039418404921889305, -0.11150985211133957, -0.039649732410907745, 0.07009924203157425, 0.03914735093712807, 0.0003897812566719949, 0.026973221451044083, 0.05433330684900284, 0.061135757714509964, -4.703702316533054e-8, 0.03839719295501709, 0.032324932515621185, 0.006365902256220579, 0.04799285903573036, 0.02951996773481369, 0.01811746507883072, -0.004889685194939375, 0.004288052208721638, 0.01967076025903225, -0.021530818194150925, 0.07416363805532455, 0.04146234691143036, 0.09610361605882645, -0.00992539431899786, 0.000774312240537256, -0.01767137087881565, -0.05250734090805054, -0.05668986588716507, 0.036242518573999405, 0.040298573672771454, 0.0641891211271286, -0.00035916970227845013, 0.03133537992835045, -0.01564744859933853, -0.010794566944241524, 0.03958219662308693, -0.014125791378319263, 0.04170399531722069, 0.011786757037043571, -0.028336690738797188, -0.05518623813986778, -0.06622223556041718, 0.018771501258015633, -0.13834437727928162, -0.16226333379745483, 0.07502102106809616, -0.05972496047616005, 0.0213368758559227, 0.07021995633840561, 0.09800101071596146, 0.02364446222782135, -0.016088811680674553, 0.007900776341557503, 0.009113788604736328, -0.049980975687503815, 0.022901158779859543, 0.05458355322480202, -0.023284027352929115, -0.10043221712112427, -0.04621370881795883, -0.06083264946937561, 0.06198495998978615, 0.0437488853931427, -0.044134415686130524, -0.03986803814768791, 0.04088211432099342, -0.10622141510248184, -0.00895302277058363, 0.0038986532017588615, 0.006635963451117277, -0.08404228836297989, 0.0051613496616482735, -0.15256866812705994, -0.050375234335660934 ]
1402.0344
Fran\c{c}ois Arnault
Fran\c{c}ois Arnault
Formes quadratiques de discriminants embo\^it\'es
7 pages. In French
null
null
null
math.NT cs.CR cs.DM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Quadratic forms with embedded discriminants. Integral binary quadratic forms have multiple applications, for example in factorization or cryptography. The Nice family of cryptographic systems makes use of quadratic forms with different discriminants $\pm p$, and $\pm pq^2$ where $p$, $q$ are large primes. This paper shows the precise links between forms with $D$ discriminant and forms with $Df^2$ discriminant, which are crucial in the analysis of the systems Nice and theirs attacks. We also introduce the notion of semi-equivalence of binary quadratic forms, and give some characterizations of semi-equivalent forms, which are useful in the analysis of these attacks. ----- Les formes quadratiques binaires fournissent un moyen explicite pour manipuler des id\'eaux de corps quadratiques, et leurs applications pratiques sont multiples. De nombreux algorithmes de factorisation les utilisent. Elle sont aussi utilis\'ees en cryptographie, en particulier pour les syst\`emes Nice. Les syst\`emes de chiffrement Nice utilisent des formes quadratiques de discriminants $\pm p$ et $\pm pq^2$ o\`u $p$ et $q$ sont des nombres premiers. Cet article pr\'ecise les liens entre les formes de discriminant $D$ et celles de discriminant $Df^2$, ce qui est essentiel pour l'analyse de Nice et de ses attaques. Il introduit aussi la notion de formes quadratiques semi-\'equivalentes et en explicite plusieurs caract\'erisations, utiles pour l'analyse de ces attaques.
[ { "created": "Mon, 3 Feb 2014 11:28:11 GMT", "version": "v1" } ]
2014-02-04
[ [ "Arnault", "François", "" ] ]
[ -0.02664928510785103, 0.029949594289064407, -0.009863373823463917, -0.10285548865795135, -0.00464685820043087, 0.045978985726833344, 0.06078494340181351, -0.011838886886835098, 0.015464690513908863, -0.025428257882595062, 0.03282295912504196, 0.025766359642148018, 0.07985605299472809, 0.03278881683945656, -0.012636488303542137, -0.03347580507397652, -0.03700895980000496, 0.0703616812825203, -0.02278715930879116, 0.06658445298671722, 0.010927434079349041, -0.07072816044092178, -0.03182947635650635, 0.0049384357407689095, 0.05237582325935364, -0.012109366245567799, 0.06719053536653519, 0.07780874520540237, 0.0500604510307312, -0.025081586092710495, 0.017987625673413277, 0.027736864984035492, 0.04187994822859764, -0.03420931100845337, 0.015980344265699387, 0.0030199456959962845, 0.11982420831918716, 0.03914641961455345, 0.010259941220283508, -0.010558150708675385, -0.012349549680948257, -0.05102936923503876, -0.029178421944379807, 0.02825390361249447, -0.06393932551145554, -0.004136862698942423, 0.05652642622590065, 0.04999430850148201, -0.0203610360622406, -0.08808697760105133, 0.010267287492752075, 0.04748382046818733, -0.011313515715301037, 0.026349274441599846, -0.034622326493263245, -0.1419166475534439, -0.0030136911664158106, 0.0007192703196778893, 0.052347809076309204, 0.07029389590024948, -0.027947312220931053, 0.06392814218997955, 0.009189535863697529, -0.03477318957448006, -0.0376996174454689, 0.07656442373991013, 0.017996903508901596, -0.09113997966051102, -0.036495666950941086, 0.019887739792466164, -0.017172768712043762, -0.02694574184715748, -0.1259351372718811, 0.022569239139556885, -0.0030408811289817095, 0.009042005985975266, -0.03771761804819107, -0.06112007796764374, -0.050965793430805206, -0.05336904153227806, 0.04601415619254112, -0.026614952832460403, 0.0017368147382512689, -0.0037137740291655064, 0.08599083870649338, 0.027192533016204834, -0.07116223126649857, -0.03421454504132271, 0.11436200886964798, -0.009662196040153503, 0.01700306311249733, -0.012988783419132233, 0.000744503689929843, 0.025765670463442802, 0.05367763340473175, -0.06147473677992821, 0.08703701198101044, 0.03954187035560608, 0.06872901320457458, 0.09298370778560638, 0.034243594855070114, -0.014202126301825047, -0.1214623749256134, -0.04720411077141762, 0.06747624278068542, 0.025833139196038246, 0.03125961869955063, 0.01754654012620449, -0.023896576836705208, -0.07552032172679901, -0.03642210364341736, -0.01705523580312729, -0.05662252753973007, 0.070159412920475, 0.0035049181897193193, -0.026125390082597733, 0.04476810246706009, 0.009958636946976185, 0.002694732276722789, -0.02517322264611721, 0.04759163409471512, -0.04128287732601166, 0.028914647176861763, 0.011507679708302021, 0.04673650115728378, -0.02223670668900013, -0.08930352330207825, 4.3099636289433485e-33, 0.07082199305295944, 0.151575967669487, 0.02938409522175789, -0.006039037834852934, -0.04144338145852089, 0.004020532593131065, -0.0407346673309803, 0.0332360602915287, 0.011390945874154568, 0.04164624214172363, -0.05616004765033722, 0.03702656552195549, 0.05977041646838188, 0.03383680433034897, 0.07199344784021378, 0.009790013544261456, 0.011600020341575146, -0.0665605440735817, 0.04635569825768471, -0.05395972356200218, 0.09463905543088913, 0.04448407515883446, 0.0005499420803971589, 0.045718371868133545, 0.10162367671728134, 0.02830411307513714, 0.012435100972652435, -0.017911063507199287, 0.08362406492233276, 0.05986484885215759, -0.0656919851899147, -0.04938725754618645, -0.033139418810606, -0.007558297365903854, 0.033061664551496506, -0.016104115173220634, -0.004056569188833237, 0.007121243514120579, -0.04622627794742584, -0.06757253408432007, -0.025623248890042305, 0.022438108921051025, 0.022197777405381203, -0.13734394311904907, -0.0038060981314629316, -0.06427527219057083, 0.029346534982323647, 0.05158785358071327, 0.039224687963724136, -0.08025775104761124, -0.017667612060904503, 0.04452196881175041, -0.04431780055165291, 0.014840752817690372, 0.021111488342285156, -0.04666447639465332, -0.0458269864320755, 0.008126478642225266, -0.03944622725248337, 0.09370541572570801, -0.011099683120846748, -0.012895453721284866, -0.03846985101699829, -0.11359485983848572, -0.08180075138807297, -0.044722724705934525, -0.00046790807391516864, -0.08292058855295181, 0.045078642666339874, 0.057470936328172684, -0.08777321875095367, 0.002264504786580801, 0.03619875758886337, -0.00005337312904885039, 0.029849085956811905, -0.07345856726169586, -0.048259809613227844, 0.0021128796506673098, 0.0004741867305710912, -0.05782211199402809, -0.07288556545972824, 0.011667892336845398, 0.021533651277422905, -0.016544422134757042, 0.03313789889216423, -0.06795341521501541, -0.06709745526313782, -0.04935066029429436, -0.07729322463274002, -0.12288651615381241, -0.06022008880972862, -0.020614920184016228, -0.02870243974030018, 0.008235074579715729, -0.0029819610062986612, -5.5329817470014426e-33, -0.10225601494312286, -0.005584097001701593, -0.003472018288448453, 0.06231231614947319, -0.03783684968948364, -0.07721392065286636, -0.03173445537686348, 0.055553942918777466, -0.03525153547525406, -0.005584623198956251, -0.007746100891381502, -0.03624516353011131, 0.035391468554735184, -0.026338256895542145, 0.06858833134174347, -0.01462243590503931, -0.07615402340888977, 0.09810778498649597, -0.005784496199339628, -0.043894436210393906, 0.02417638711631298, 0.07266293466091156, 0.03081114962697029, -0.008851831778883934, 0.049280643463134766, 0.03009706735610962, -0.04065074399113655, 0.011262688785791397, 0.04422688111662865, 0.041366975754499435, -0.0633353590965271, 0.002209142316132784, -0.06980040669441223, -0.06664607673883438, -0.054331935942173004, -0.021248437464237213, 0.005763232707977295, 0.011007298715412617, -0.0628061294555664, 0.06955429911613464, -0.01462166104465723, 0.015967287123203278, 0.08571493625640869, 0.04151103273034096, 0.030389824882149696, -0.014927624724805355, -0.005234541371464729, 0.08465759456157684, 0.058571137487888336, -0.05963889881968498, 0.04039469733834267, -0.04812151566147804, 0.014020321890711784, 0.09026443213224411, 0.04000137746334076, -0.02808125503361225, -0.0008855335763655603, 0.04717043787240982, 0.01549491286277771, 0.010933893732726574, -0.007518381346017122, 0.0027974266558885574, -0.01724741980433464, 0.03705233708024025, 0.040690451860427856, -0.06810545921325684, -0.03216184675693512, 0.011946756392717361, -0.02602304518222809, 0.03303595632314682, 0.0425577387213707, -0.0759868174791336, -0.023492785170674324, 0.060696735978126526, -0.09406353533267975, -0.024852249771356583, 0.0034485808573663235, 0.062186531722545624, 0.002145409816876054, 0.1028805673122406, 0.019166605547070503, -0.0004358524747658521, -0.04473905637860298, -0.005345812998712063, -0.03459880128502846, 0.0048391493037343025, 0.05150174722075462, -0.0009867794578894973, -0.03373713046312332, -0.06901905685663223, 0.015266377478837967, 0.08667664974927902, 0.02120182476937771, 0.1753595918416977, 0.02114279568195343, -3.995842234871816e-8, -0.001088990829885006, -0.05506127327680588, -0.0830918475985527, -0.08343830704689026, 0.019234513863921165, -0.021333422511816025, -0.05460882931947708, 0.025829311460256577, 0.00045978324487805367, -0.05821947753429413, 0.06064118072390556, 0.026299314573407173, -0.03763755410909653, -0.07608156651258469, -0.03995528072118759, 0.06250724196434021, -0.00929318368434906, -0.029839295893907547, -0.060698140412569046, -0.019427066668868065, 0.07010959088802338, -0.026296306401491165, -0.0600360631942749, 0.03196915239095688, -0.011902363039553165, -0.024232028052210808, -0.04588131979107857, -0.008409027010202408, 0.021577196195721626, 0.11646511405706406, -0.0497872568666935, 0.004299664869904518, 0.057132601737976074, -0.05982145667076111, -0.03734811395406723, 0.09227818995714188, -0.07703280448913574, -0.06331025809049606, 0.013659503310918808, 0.036347128450870514, 0.0534333810210228, -0.044020745903253555, -0.059113360941410065, -0.023474235087633133, 0.10533275455236435, 0.007541352417320013, 0.01574597880244255, 0.04892222210764885, -0.038376595824956894, 0.06626660376787186, -0.0762115865945816, 0.0004722052544821054, -0.023837275803089142, -0.005218908656388521, -0.05818745866417885, 0.059863414615392685, -0.06547856330871582, -0.11741292476654053, 0.10387486219406128, -0.05096587538719177, 0.030700692906975746, 0.06764508038759232, 0.026170114055275917, 0.04746384918689728 ]
null
null
null
null
null
null
null
[ -0.02664928510785103, 0.029949594289064407, -0.009863373823463917, -0.10285548865795135, -0.00464685820043087, 0.045978985726833344, 0.06078494340181351, -0.011838886886835098, 0.015464690513908863, -0.025428257882595062, 0.03282295912504196, 0.025766359642148018, 0.07985605299472809, 0.03278881683945656, -0.012636488303542137, -0.03347580507397652, -0.03700895980000496, 0.0703616812825203, -0.02278715930879116, 0.06658445298671722, 0.010927434079349041, -0.07072816044092178, -0.03182947635650635, 0.0049384357407689095, 0.05237582325935364, -0.012109366245567799, 0.06719053536653519, 0.07780874520540237, 0.0500604510307312, -0.025081586092710495, 0.017987625673413277, 0.027736864984035492, 0.04187994822859764, -0.03420931100845337, 0.015980344265699387, 0.0030199456959962845, 0.11982420831918716, 0.03914641961455345, 0.010259941220283508, -0.010558150708675385, -0.012349549680948257, -0.05102936923503876, -0.029178421944379807, 0.02825390361249447, -0.06393932551145554, -0.004136862698942423, 0.05652642622590065, 0.04999430850148201, -0.0203610360622406, -0.08808697760105133, 0.010267287492752075, 0.04748382046818733, -0.011313515715301037, 0.026349274441599846, -0.034622326493263245, -0.1419166475534439, -0.0030136911664158106, 0.0007192703196778893, 0.052347809076309204, 0.07029389590024948, -0.027947312220931053, 0.06392814218997955, 0.009189535863697529, -0.03477318957448006, -0.0376996174454689, 0.07656442373991013, 0.017996903508901596, -0.09113997966051102, -0.036495666950941086, 0.019887739792466164, -0.017172768712043762, -0.02694574184715748, -0.1259351372718811, 0.022569239139556885, -0.0030408811289817095, 0.009042005985975266, -0.03771761804819107, -0.06112007796764374, -0.050965793430805206, -0.05336904153227806, 0.04601415619254112, -0.026614952832460403, 0.0017368147382512689, -0.0037137740291655064, 0.08599083870649338, 0.027192533016204834, -0.07116223126649857, -0.03421454504132271, 0.11436200886964798, -0.009662196040153503, 0.01700306311249733, -0.012988783419132233, 0.000744503689929843, 0.025765670463442802, 0.05367763340473175, -0.06147473677992821, 0.08703701198101044, 0.03954187035560608, 0.06872901320457458, 0.09298370778560638, 0.034243594855070114, -0.014202126301825047, -0.1214623749256134, -0.04720411077141762, 0.06747624278068542, 0.025833139196038246, 0.03125961869955063, 0.01754654012620449, -0.023896576836705208, -0.07552032172679901, -0.03642210364341736, -0.01705523580312729, -0.05662252753973007, 0.070159412920475, 0.0035049181897193193, -0.026125390082597733, 0.04476810246706009, 0.009958636946976185, 0.002694732276722789, -0.02517322264611721, 0.04759163409471512, -0.04128287732601166, 0.028914647176861763, 0.011507679708302021, 0.04673650115728378, -0.02223670668900013, -0.08930352330207825, 4.3099636289433485e-33, 0.07082199305295944, 0.151575967669487, 0.02938409522175789, -0.006039037834852934, -0.04144338145852089, 0.004020532593131065, -0.0407346673309803, 0.0332360602915287, 0.011390945874154568, 0.04164624214172363, -0.05616004765033722, 0.03702656552195549, 0.05977041646838188, 0.03383680433034897, 0.07199344784021378, 0.009790013544261456, 0.011600020341575146, -0.0665605440735817, 0.04635569825768471, -0.05395972356200218, 0.09463905543088913, 0.04448407515883446, 0.0005499420803971589, 0.045718371868133545, 0.10162367671728134, 0.02830411307513714, 0.012435100972652435, -0.017911063507199287, 0.08362406492233276, 0.05986484885215759, -0.0656919851899147, -0.04938725754618645, -0.033139418810606, -0.007558297365903854, 0.033061664551496506, -0.016104115173220634, -0.004056569188833237, 0.007121243514120579, -0.04622627794742584, -0.06757253408432007, -0.025623248890042305, 0.022438108921051025, 0.022197777405381203, -0.13734394311904907, -0.0038060981314629316, -0.06427527219057083, 0.029346534982323647, 0.05158785358071327, 0.039224687963724136, -0.08025775104761124, -0.017667612060904503, 0.04452196881175041, -0.04431780055165291, 0.014840752817690372, 0.021111488342285156, -0.04666447639465332, -0.0458269864320755, 0.008126478642225266, -0.03944622725248337, 0.09370541572570801, -0.011099683120846748, -0.012895453721284866, -0.03846985101699829, -0.11359485983848572, -0.08180075138807297, -0.044722724705934525, -0.00046790807391516864, -0.08292058855295181, 0.045078642666339874, 0.057470936328172684, -0.08777321875095367, 0.002264504786580801, 0.03619875758886337, -0.00005337312904885039, 0.029849085956811905, -0.07345856726169586, -0.048259809613227844, 0.0021128796506673098, 0.0004741867305710912, -0.05782211199402809, -0.07288556545972824, 0.011667892336845398, 0.021533651277422905, -0.016544422134757042, 0.03313789889216423, -0.06795341521501541, -0.06709745526313782, -0.04935066029429436, -0.07729322463274002, -0.12288651615381241, -0.06022008880972862, -0.020614920184016228, -0.02870243974030018, 0.008235074579715729, -0.0029819610062986612, -5.5329817470014426e-33, -0.10225601494312286, -0.005584097001701593, -0.003472018288448453, 0.06231231614947319, -0.03783684968948364, -0.07721392065286636, -0.03173445537686348, 0.055553942918777466, -0.03525153547525406, -0.005584623198956251, -0.007746100891381502, -0.03624516353011131, 0.035391468554735184, -0.026338256895542145, 0.06858833134174347, -0.01462243590503931, -0.07615402340888977, 0.09810778498649597, -0.005784496199339628, -0.043894436210393906, 0.02417638711631298, 0.07266293466091156, 0.03081114962697029, -0.008851831778883934, 0.049280643463134766, 0.03009706735610962, -0.04065074399113655, 0.011262688785791397, 0.04422688111662865, 0.041366975754499435, -0.0633353590965271, 0.002209142316132784, -0.06980040669441223, -0.06664607673883438, -0.054331935942173004, -0.021248437464237213, 0.005763232707977295, 0.011007298715412617, -0.0628061294555664, 0.06955429911613464, -0.01462166104465723, 0.015967287123203278, 0.08571493625640869, 0.04151103273034096, 0.030389824882149696, -0.014927624724805355, -0.005234541371464729, 0.08465759456157684, 0.058571137487888336, -0.05963889881968498, 0.04039469733834267, -0.04812151566147804, 0.014020321890711784, 0.09026443213224411, 0.04000137746334076, -0.02808125503361225, -0.0008855335763655603, 0.04717043787240982, 0.01549491286277771, 0.010933893732726574, -0.007518381346017122, 0.0027974266558885574, -0.01724741980433464, 0.03705233708024025, 0.040690451860427856, -0.06810545921325684, -0.03216184675693512, 0.011946756392717361, -0.02602304518222809, 0.03303595632314682, 0.0425577387213707, -0.0759868174791336, -0.023492785170674324, 0.060696735978126526, -0.09406353533267975, -0.024852249771356583, 0.0034485808573663235, 0.062186531722545624, 0.002145409816876054, 0.1028805673122406, 0.019166605547070503, -0.0004358524747658521, -0.04473905637860298, -0.005345812998712063, -0.03459880128502846, 0.0048391493037343025, 0.05150174722075462, -0.0009867794578894973, -0.03373713046312332, -0.06901905685663223, 0.015266377478837967, 0.08667664974927902, 0.02120182476937771, 0.1753595918416977, 0.02114279568195343, -3.995842234871816e-8, -0.001088990829885006, -0.05506127327680588, -0.0830918475985527, -0.08343830704689026, 0.019234513863921165, -0.021333422511816025, -0.05460882931947708, 0.025829311460256577, 0.00045978324487805367, -0.05821947753429413, 0.06064118072390556, 0.026299314573407173, -0.03763755410909653, -0.07608156651258469, -0.03995528072118759, 0.06250724196434021, -0.00929318368434906, -0.029839295893907547, -0.060698140412569046, -0.019427066668868065, 0.07010959088802338, -0.026296306401491165, -0.0600360631942749, 0.03196915239095688, -0.011902363039553165, -0.024232028052210808, -0.04588131979107857, -0.008409027010202408, 0.021577196195721626, 0.11646511405706406, -0.0497872568666935, 0.004299664869904518, 0.057132601737976074, -0.05982145667076111, -0.03734811395406723, 0.09227818995714188, -0.07703280448913574, -0.06331025809049606, 0.013659503310918808, 0.036347128450870514, 0.0534333810210228, -0.044020745903253555, -0.059113360941410065, -0.023474235087633133, 0.10533275455236435, 0.007541352417320013, 0.01574597880244255, 0.04892222210764885, -0.038376595824956894, 0.06626660376787186, -0.0762115865945816, 0.0004722052544821054, -0.023837275803089142, -0.005218908656388521, -0.05818745866417885, 0.059863414615392685, -0.06547856330871582, -0.11741292476654053, 0.10387486219406128, -0.05096587538719177, 0.030700692906975746, 0.06764508038759232, 0.026170114055275917, 0.04746384918689728 ]
1402.0349
J\'anos K\"orner
G\'erard Cohen, Emanuela Fachini and J\'anos K\"orner
Zero-error capacity of binary channels with memory
10 pages. This paper is the revised version of our previous paper having the same title, published on ArXiV on February 3, 2014. We complete Theorem 2 of the previous version by showing here that our previous construction is asymptotically optimal. This proves that the isometric triangles yield different capacities. The new manuscript differs from the old one by the addition of one more page
null
null
null
math.CO cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We begin a systematic study of the problem of the zero--error capacity of noisy binary channels with memory and solve some of the non--trivial cases.
[ { "created": "Mon, 3 Feb 2014 11:51:27 GMT", "version": "v1" }, { "created": "Tue, 14 Apr 2015 13:13:39 GMT", "version": "v2" } ]
2016-02-22
[ [ "Cohen", "Gérard", "" ], [ "Fachini", "Emanuela", "" ], [ "Körner", "János", "" ] ]
[ 0.08935073763132095, -0.020050711929798126, -0.05944182723760605, 0.024654265493154526, -0.03222891688346863, -0.016575109213590622, 0.024759698659181595, -0.059053272008895874, -0.04304597154259682, -0.039535779505968094, -0.046936944127082825, 0.047885552048683167, 0.07587232440710068, -0.011138253845274448, -0.07391777634620667, 0.05417918786406517, 0.022764703258872032, 0.033779021352529526, -0.023566510528326035, 0.06242936849594116, 0.024979963898658752, -0.005307391285896301, 0.009202970191836357, 0.03574531525373459, -0.004815413150936365, -0.04669235274195671, -0.013452033512294292, -0.06905274093151093, -0.010247726924717426, -0.07787314057350159, 0.08409834653139114, -0.0031109186820685863, 0.04048959165811539, -0.016904767602682114, 0.08685440570116043, 0.02148076891899109, 0.04621877893805504, -0.04393526539206505, 0.0049992455169558525, 0.09820868819952011, 0.01562710851430893, 0.06637360900640488, -0.024909013882279396, 0.06651676446199417, 0.0004898807383142412, 0.029072940349578857, 0.07226434350013733, -0.033042047172784805, -0.002688821405172348, -0.09394048899412155, 0.0006677086930721998, 0.0676366314291954, -0.05524064227938652, 0.09030463546514511, 0.023490935564041138, -0.08258240669965744, -0.05378609150648117, 0.008277288638055325, -0.07135728746652603, 0.10141275078058243, 0.028492538258433342, -0.007418720051646233, -0.010143251158297062, -0.03345884382724762, -0.05058608949184418, 0.07419632375240326, 0.04130744934082031, -0.0037515058647841215, -0.023291241377592087, 0.06867725402116776, -0.05452854558825493, -0.06489604711532593, -0.0770920068025589, 0.07818914949893951, 0.04678697511553764, -0.042146310210227966, 0.023465478792786598, 0.0343809649348259, 0.02552003785967827, 0.05775730311870575, -0.06702348589897156, -0.09994617849588394, -0.0331571027636528, -0.08138521760702133, 0.05915176868438721, -0.011601530946791172, -0.023006703704595566, 0.04234457388520241, 0.024620428681373596, 0.00046353370998986065, -0.13981978595256805, 0.01938529498875141, 0.01424382533878088, 0.049063023179769516, -0.0016187932342290878, -0.04695335403084755, 0.01811833679676056, 0.003240928053855896, 0.03534413501620293, 0.07865544408559799, 0.05803878605365753, -0.03168722987174988, -0.007560334634035826, 0.01200402993708849, 0.005939067807048559, 0.027663134038448334, 0.06184617057442665, 0.06540297716856003, -0.025036267936229706, 0.01414577104151249, 0.024964338168501854, -0.0005505600129254162, 0.011032250709831715, 0.03173225373029709, 0.04289871081709862, -0.01802753284573555, 0.02472948096692562, 0.03961431235074997, -0.03508395329117775, 0.0022256416268646717, 0.003446070244535804, -0.1124216616153717, 0.00814708974212408, 0.02330145426094532, -0.05636235699057579, -0.01731855422258377, 0.006854299921542406, -5.0450167769018333e-33, -0.005753186997026205, 0.0531180314719677, -0.06806658953428268, -0.002123062964528799, 0.008547518402338028, 0.0627892017364502, 0.02302262745797634, -0.015408246777951717, 0.016579683870077133, 0.021130045875906944, -0.03197544813156128, -0.03890393674373627, -0.06455235928297043, 0.015033612959086895, 0.08084660768508911, 0.007719727233052254, -0.049592334777116776, 0.06892620027065277, 0.05910249426960945, -0.11324762552976608, 0.019210027530789375, -0.0070544579066336155, -0.03766389936208725, -0.04218919947743416, 0.06069953367114067, -0.05778462812304497, -0.01627461612224579, -0.08420459181070328, 0.020809099078178406, 0.021090330556035042, -0.08317935466766357, 0.0145983025431633, 0.06623242795467377, -0.0037346414756029844, -0.02568899653851986, -0.05395851284265518, 0.010385141707956791, 0.042449403554201126, -0.02961817756295204, -0.038078147917985916, -0.010296561755239964, 0.011287388391792774, 0.04364117980003357, -0.11669410020112991, -0.03808709233999252, -0.07502878457307816, 0.0660368800163269, 0.03935650363564491, -0.039840489625930786, -0.018614772707223892, 0.013220465742051601, 0.02010946534574032, -0.1481005847454071, 0.08700131624937057, 0.07046236097812653, -0.024350354447960854, 0.005637265741825104, 0.0759456604719162, 0.017559513449668884, 0.13486775755882263, 0.004886338021606207, 0.03080143593251705, 0.032980725169181824, -0.04587049409747124, 0.08526419848203659, 0.10346669703722, -0.016277305781841278, -0.01857881247997284, 0.02720560133457184, -0.1165735274553299, -0.02491774410009384, -0.013398169539868832, -0.005856941919773817, -0.04795393720269203, -0.045488640666007996, -0.059034742414951324, 0.0723823755979538, -0.11048417538404465, -0.03618611395359039, 0.03137029707431793, 0.003752939635887742, -0.07595007866621017, -0.0033564353361725807, 0.053307365626096725, -0.07133886963129044, 0.04711945354938507, 0.03360709547996521, -0.02692028321325779, -0.12381156533956528, 0.01360618881881237, -0.010391742922365665, 0.01145786140114069, 0.002168346429243684, -0.04905737563967705, -0.03747386112809181, 3.519206375093288e-33, -0.07212555408477783, 0.01844344101846218, 0.024696364998817444, 0.08904007822275162, -0.05514077842235565, -0.025303224101662636, 0.03427070006728172, -0.04535708948969841, 0.008993837051093578, 0.021081147715449333, -0.04263577610254288, -0.0050387815572321415, 0.0028230499010533094, 0.07460315525531769, -0.036107368767261505, -0.0672575831413269, -0.01188798900693655, 0.03986411914229393, 0.03990578278899193, 0.05369815602898598, 0.05137475207448006, 0.0821039229631424, 0.05719542130827904, -0.007267256733030081, -0.024361705407500267, 0.08850990235805511, -0.038598429411649704, 0.08426982164382935, 0.04375605285167694, -0.022751739248633385, 0.043334685266017914, -0.052260857075452805, -0.0008286651573143899, -0.0418771356344223, 0.09612094610929489, 0.019228212535381317, 0.058092352002859116, 0.09250542521476746, 0.04498175159096718, 0.013774454593658447, 0.11543450504541397, 0.035469479858875275, -0.044867999851703644, -0.0605463907122612, 0.022013552486896515, -0.028180737048387527, -0.04108276590704918, 0.011260339058935642, 0.027849867939949036, -0.016620615497231483, 0.02297035977244377, 0.03341659530997276, 0.008774853311479092, 0.04214891046285629, 0.008159671910107136, 0.021143369376659393, -0.015473505482077599, 0.09414529800415039, 0.11876187473535538, -0.030734458938241005, -0.11798113584518433, -0.01519026793539524, -0.054299142211675644, -0.04197198897600174, 0.0037494972348213196, 0.007418149616569281, -0.025482160970568657, -0.057498231530189514, 0.0042604440823197365, 0.0669652670621872, 0.08371252566576004, 0.03688165545463562, -0.05829131230711937, -0.017106598243117332, -0.03670617192983627, 0.07649216800928116, -0.04480813443660736, -0.031205391511321068, -0.043636418879032135, 0.048902641981840134, -0.06327325850725174, 0.12427560985088348, 0.028114229440689087, 0.012545275501906872, 0.016384460031986237, 0.007827446796000004, 0.06580403447151184, -0.023065082728862762, -0.038271214812994, -0.08778928220272064, 0.015299753285944462, 0.06813758611679077, -0.0017318958416581154, -0.030915331095457077, -0.02048797532916069, -2.8183883671317744e-8, -0.013170100748538971, -0.05678490176796913, -0.01860566809773445, -0.048519913107156754, 0.1342475265264511, -0.08073712140321732, -0.002922455547377467, 0.012775109149515629, 0.02058783732354641, -0.04258294031023979, 0.06628835201263428, 0.06608185172080994, -0.09594227373600006, 0.02691078931093216, 0.004931683652102947, 0.04846755415201187, -0.08678287267684937, -0.031880103051662445, 0.03394373133778572, 0.0033484192099422216, 0.018652087077498436, -0.006113869138062, -0.012538116425275803, 0.00796353816986084, 0.0009301171521656215, -0.05611163005232811, 0.04790626838803291, 0.04408818483352661, 0.02135487273335457, -0.0041964976117014885, 0.01657472737133503, -0.004893021658062935, 0.0398046113550663, 0.0034275490324944258, -0.005378687288612127, -0.03197622299194336, 0.013377360999584198, 0.07432208210229874, -0.07126089930534363, -0.0649523213505745, -0.043542809784412384, -0.06295273452997208, 0.01579923927783966, 0.007930138148367405, 0.005202129017561674, -0.007353642955422401, -0.04117501154541969, 0.01251516118645668, -0.07426990568637848, -0.03767877444624901, 0.00462684640660882, 0.09793221205472946, -0.027407685294747353, -0.046908095479011536, -0.038055550307035446, 0.00125343247782439, -0.029911428689956665, -0.09702090173959732, -0.03492683544754982, 0.04207700863480568, -0.039145298302173615, 0.14952605962753296, -0.06299889087677002, -0.042137399315834045 ]
null
null
null
null
null
null
null
[ 0.08935073763132095, -0.020050711929798126, -0.05944182723760605, 0.024654265493154526, -0.03222891688346863, -0.016575109213590622, 0.024759698659181595, -0.059053272008895874, -0.04304597154259682, -0.039535779505968094, -0.046936944127082825, 0.047885552048683167, 0.07587232440710068, -0.011138253845274448, -0.07391777634620667, 0.05417918786406517, 0.022764703258872032, 0.033779021352529526, -0.023566510528326035, 0.06242936849594116, 0.024979963898658752, -0.005307391285896301, 0.009202970191836357, 0.03574531525373459, -0.004815413150936365, -0.04669235274195671, -0.013452033512294292, -0.06905274093151093, -0.010247726924717426, -0.07787314057350159, 0.08409834653139114, -0.0031109186820685863, 0.04048959165811539, -0.016904767602682114, 0.08685440570116043, 0.02148076891899109, 0.04621877893805504, -0.04393526539206505, 0.0049992455169558525, 0.09820868819952011, 0.01562710851430893, 0.06637360900640488, -0.024909013882279396, 0.06651676446199417, 0.0004898807383142412, 0.029072940349578857, 0.07226434350013733, -0.033042047172784805, -0.002688821405172348, -0.09394048899412155, 0.0006677086930721998, 0.0676366314291954, -0.05524064227938652, 0.09030463546514511, 0.023490935564041138, -0.08258240669965744, -0.05378609150648117, 0.008277288638055325, -0.07135728746652603, 0.10141275078058243, 0.028492538258433342, -0.007418720051646233, -0.010143251158297062, -0.03345884382724762, -0.05058608949184418, 0.07419632375240326, 0.04130744934082031, -0.0037515058647841215, -0.023291241377592087, 0.06867725402116776, -0.05452854558825493, -0.06489604711532593, -0.0770920068025589, 0.07818914949893951, 0.04678697511553764, -0.042146310210227966, 0.023465478792786598, 0.0343809649348259, 0.02552003785967827, 0.05775730311870575, -0.06702348589897156, -0.09994617849588394, -0.0331571027636528, -0.08138521760702133, 0.05915176868438721, -0.011601530946791172, -0.023006703704595566, 0.04234457388520241, 0.024620428681373596, 0.00046353370998986065, -0.13981978595256805, 0.01938529498875141, 0.01424382533878088, 0.049063023179769516, -0.0016187932342290878, -0.04695335403084755, 0.01811833679676056, 0.003240928053855896, 0.03534413501620293, 0.07865544408559799, 0.05803878605365753, -0.03168722987174988, -0.007560334634035826, 0.01200402993708849, 0.005939067807048559, 0.027663134038448334, 0.06184617057442665, 0.06540297716856003, -0.025036267936229706, 0.01414577104151249, 0.024964338168501854, -0.0005505600129254162, 0.011032250709831715, 0.03173225373029709, 0.04289871081709862, -0.01802753284573555, 0.02472948096692562, 0.03961431235074997, -0.03508395329117775, 0.0022256416268646717, 0.003446070244535804, -0.1124216616153717, 0.00814708974212408, 0.02330145426094532, -0.05636235699057579, -0.01731855422258377, 0.006854299921542406, -5.0450167769018333e-33, -0.005753186997026205, 0.0531180314719677, -0.06806658953428268, -0.002123062964528799, 0.008547518402338028, 0.0627892017364502, 0.02302262745797634, -0.015408246777951717, 0.016579683870077133, 0.021130045875906944, -0.03197544813156128, -0.03890393674373627, -0.06455235928297043, 0.015033612959086895, 0.08084660768508911, 0.007719727233052254, -0.049592334777116776, 0.06892620027065277, 0.05910249426960945, -0.11324762552976608, 0.019210027530789375, -0.0070544579066336155, -0.03766389936208725, -0.04218919947743416, 0.06069953367114067, -0.05778462812304497, -0.01627461612224579, -0.08420459181070328, 0.020809099078178406, 0.021090330556035042, -0.08317935466766357, 0.0145983025431633, 0.06623242795467377, -0.0037346414756029844, -0.02568899653851986, -0.05395851284265518, 0.010385141707956791, 0.042449403554201126, -0.02961817756295204, -0.038078147917985916, -0.010296561755239964, 0.011287388391792774, 0.04364117980003357, -0.11669410020112991, -0.03808709233999252, -0.07502878457307816, 0.0660368800163269, 0.03935650363564491, -0.039840489625930786, -0.018614772707223892, 0.013220465742051601, 0.02010946534574032, -0.1481005847454071, 0.08700131624937057, 0.07046236097812653, -0.024350354447960854, 0.005637265741825104, 0.0759456604719162, 0.017559513449668884, 0.13486775755882263, 0.004886338021606207, 0.03080143593251705, 0.032980725169181824, -0.04587049409747124, 0.08526419848203659, 0.10346669703722, -0.016277305781841278, -0.01857881247997284, 0.02720560133457184, -0.1165735274553299, -0.02491774410009384, -0.013398169539868832, -0.005856941919773817, -0.04795393720269203, -0.045488640666007996, -0.059034742414951324, 0.0723823755979538, -0.11048417538404465, -0.03618611395359039, 0.03137029707431793, 0.003752939635887742, -0.07595007866621017, -0.0033564353361725807, 0.053307365626096725, -0.07133886963129044, 0.04711945354938507, 0.03360709547996521, -0.02692028321325779, -0.12381156533956528, 0.01360618881881237, -0.010391742922365665, 0.01145786140114069, 0.002168346429243684, -0.04905737563967705, -0.03747386112809181, 3.519206375093288e-33, -0.07212555408477783, 0.01844344101846218, 0.024696364998817444, 0.08904007822275162, -0.05514077842235565, -0.025303224101662636, 0.03427070006728172, -0.04535708948969841, 0.008993837051093578, 0.021081147715449333, -0.04263577610254288, -0.0050387815572321415, 0.0028230499010533094, 0.07460315525531769, -0.036107368767261505, -0.0672575831413269, -0.01188798900693655, 0.03986411914229393, 0.03990578278899193, 0.05369815602898598, 0.05137475207448006, 0.0821039229631424, 0.05719542130827904, -0.007267256733030081, -0.024361705407500267, 0.08850990235805511, -0.038598429411649704, 0.08426982164382935, 0.04375605285167694, -0.022751739248633385, 0.043334685266017914, -0.052260857075452805, -0.0008286651573143899, -0.0418771356344223, 0.09612094610929489, 0.019228212535381317, 0.058092352002859116, 0.09250542521476746, 0.04498175159096718, 0.013774454593658447, 0.11543450504541397, 0.035469479858875275, -0.044867999851703644, -0.0605463907122612, 0.022013552486896515, -0.028180737048387527, -0.04108276590704918, 0.011260339058935642, 0.027849867939949036, -0.016620615497231483, 0.02297035977244377, 0.03341659530997276, 0.008774853311479092, 0.04214891046285629, 0.008159671910107136, 0.021143369376659393, -0.015473505482077599, 0.09414529800415039, 0.11876187473535538, -0.030734458938241005, -0.11798113584518433, -0.01519026793539524, -0.054299142211675644, -0.04197198897600174, 0.0037494972348213196, 0.007418149616569281, -0.025482160970568657, -0.057498231530189514, 0.0042604440823197365, 0.0669652670621872, 0.08371252566576004, 0.03688165545463562, -0.05829131230711937, -0.017106598243117332, -0.03670617192983627, 0.07649216800928116, -0.04480813443660736, -0.031205391511321068, -0.043636418879032135, 0.048902641981840134, -0.06327325850725174, 0.12427560985088348, 0.028114229440689087, 0.012545275501906872, 0.016384460031986237, 0.007827446796000004, 0.06580403447151184, -0.023065082728862762, -0.038271214812994, -0.08778928220272064, 0.015299753285944462, 0.06813758611679077, -0.0017318958416581154, -0.030915331095457077, -0.02048797532916069, -2.8183883671317744e-8, -0.013170100748538971, -0.05678490176796913, -0.01860566809773445, -0.048519913107156754, 0.1342475265264511, -0.08073712140321732, -0.002922455547377467, 0.012775109149515629, 0.02058783732354641, -0.04258294031023979, 0.06628835201263428, 0.06608185172080994, -0.09594227373600006, 0.02691078931093216, 0.004931683652102947, 0.04846755415201187, -0.08678287267684937, -0.031880103051662445, 0.03394373133778572, 0.0033484192099422216, 0.018652087077498436, -0.006113869138062, -0.012538116425275803, 0.00796353816986084, 0.0009301171521656215, -0.05611163005232811, 0.04790626838803291, 0.04408818483352661, 0.02135487273335457, -0.0041964976117014885, 0.01657472737133503, -0.004893021658062935, 0.0398046113550663, 0.0034275490324944258, -0.005378687288612127, -0.03197622299194336, 0.013377360999584198, 0.07432208210229874, -0.07126089930534363, -0.0649523213505745, -0.043542809784412384, -0.06295273452997208, 0.01579923927783966, 0.007930138148367405, 0.005202129017561674, -0.007353642955422401, -0.04117501154541969, 0.01251516118645668, -0.07426990568637848, -0.03767877444624901, 0.00462684640660882, 0.09793221205472946, -0.027407685294747353, -0.046908095479011536, -0.038055550307035446, 0.00125343247782439, -0.029911428689956665, -0.09702090173959732, -0.03492683544754982, 0.04207700863480568, -0.039145298302173615, 0.14952605962753296, -0.06299889087677002, -0.042137399315834045 ]
1402.0350
Prabir Rudra
Prabir Rudra (Beng. Engg. & Sc. Univ., Pailan Coll. of Mgmt. & Tech.), Ujjal Debnath (Beng. Engg. & Sc. Univ.)
Gravitational Collapse In Vaidya Space-time For Galileon Gravity Theory
12 pages, 15 figures. Accepted for publication in Can. J. Phys. arXiv admin note: substantial text overlap with arXiv:1307.6603
null
10.1139/cjp-2014-0111
null
physics.gen-ph gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The motive of this work is to study gravitational collapse in Vaidya space-time embedded in Galileon gravity theory. Galileon gravity is in fact an infrared modification of Einstein gravity, which was proposed as a generalization of the 4D effective theory in DGP brane model. Vaidya's metric is used all over to follow the nature of future outgoing radial null geodesics. Detecting whether the central singularity is naked or wrapped by an event horizon, by the existence of future directed radial null geodesic emitted in past from the singularity is the basic objective. To point out the existence of positive trajectory tangent solution, both particular parametric cases (through tabular forms) and wide range contouring process have been applied. Precisely, the EoS in perfect fluid satisfies a wide range of phenomena: from dust to exotic fluid like dark energy. We have used the EoS parameter $k$ to determine the end collapse state in different cosmological era.
[ { "created": "Mon, 3 Feb 2014 11:55:28 GMT", "version": "v1" }, { "created": "Thu, 29 May 2014 09:16:11 GMT", "version": "v2" } ]
2015-06-18
[ [ "Rudra", "Prabir", "", "Beng. Engg. & Sc. Univ., Pailan Coll. of Mgmt. & Tech." ], [ "Debnath", "Ujjal", "", "Beng. Engg. & Sc. Univ." ] ]
[ -0.030399581417441368, -0.0019486388191580772, 0.07655151933431625, -0.03331673890352249, 0.04257940500974655, -0.034785930067300797, -0.013594202697277069, 0.10692869126796722, 0.043876536190509796, -0.008749149739742279, -0.03419937193393707, 0.02333570457994938, -0.12935854494571686, 0.030513564124703407, -0.036051422357559204, -0.05026612803339958, -0.01588319055736065, 0.02110959216952324, -0.040938906371593475, -0.03496995568275452, 0.05544302985072136, 0.04695763438940048, -0.06890938431024551, 0.056075092405080795, -0.05481885373592377, -0.04354092478752136, 0.08891446888446808, -0.12096275389194489, 0.00608178460970521, 0.01478708814829588, 0.02025046944618225, -0.014432189054787159, -0.1004474088549614, -0.0015638276236131787, -0.0023674580734223127, 0.05658331885933876, 0.045987971127033234, -0.024627316743135452, -0.04567702114582062, -0.04348894581198692, 0.013070141896605492, -0.005170806311070919, 0.04269642382860184, 0.015012674033641815, 0.024744365364313126, -0.01990284025669098, 0.03368808329105377, 0.016439970582723618, 0.0016293666558340192, -0.03942941129207611, 0.07605858147144318, -0.062160324305295944, -0.023762352764606476, -0.02360193058848381, -0.006415730807930231, 0.05200246721506119, -0.06201424077153206, -0.1325686275959015, 0.02975839376449585, -0.025677818804979324, 0.022180357947945595, 0.014553423039615154, -0.06591321527957916, -0.014176924712955952, 0.05697749927639961, 0.05821787938475609, 0.027123985812067986, -0.09171169251203537, -0.027641883119940758, 0.054918766021728516, -0.04108002036809921, 0.05103672668337822, -0.0693158358335495, -0.10624348372220993, -0.0396428257226944, 0.0547751858830452, 0.05585475638508797, -0.0017089764587581158, 0.017322231084108353, -0.024489909410476685, 0.08582958579063416, 0.05616512894630432, -0.009797321632504463, -0.044001057744026184, -0.04372389242053032, 0.031053662300109863, -0.046138864010572433, -0.02919864095747471, 0.11154745519161224, 0.008038325235247612, 0.06211483106017113, 0.014506900683045387, -0.11670590937137604, -0.045811623334884644, 0.02550221048295498, 0.004577788058668375, -0.039527010172605515, -0.026329712942242622, 0.1025366559624672, 0.04272466525435448, -0.019894594326615334, -0.04256470501422882, -0.024830881506204605, 0.09613103419542313, 0.07882528007030487, 0.039236947894096375, 0.0659404993057251, -0.011688441969454288, -0.04267656430602074, 0.022289011627435684, 0.018384279683232307, -0.0745571181178093, 0.03999093547463417, -0.04785996302962303, -0.04971940815448761, 0.04235294461250305, 0.0071363504976034164, 0.0923059731721878, -0.06193079054355621, 0.005258051212877035, -0.06949694454669952, 0.040043480694293976, 0.010116134770214558, 0.016635026782751083, 0.004625557456165552, 0.06965532153844833, 0.010776622220873833, 5.7998064750106244e-33, 0.046534765511751175, 0.034269969910383224, 0.04682633653283119, 0.023572133854031563, 0.01717248558998108, 0.0648675411939621, -0.061292048543691635, 0.0451018288731575, 0.03165030479431152, 0.010793468914926052, -0.10717562586069107, -0.012905853800475597, -0.00042827866855077446, -0.02662285976111889, -0.020906303077936172, 0.005719649139791727, 0.11384095251560211, 0.024632923305034637, -0.059559714049100876, 0.012005787342786789, -0.02427593618631363, 0.02930203080177307, 0.005690800957381725, -0.06185039505362511, -0.0502726174890995, 0.07298726588487625, -0.03444278985261917, 0.05859179049730301, -0.044563934206962585, 0.032979566603899, -0.06498103588819504, -0.03595700114965439, -0.07771239429712296, 0.056788016110658646, -0.034321896731853485, 0.05611179769039154, -0.06113244220614433, 0.03649408370256424, -0.0375731997191906, 0.007120741531252861, -0.045866597443819046, 0.07386628538370132, -0.025155697017908096, -0.07981502264738083, -0.0387888066470623, -0.030412154272198677, 0.11500643938779831, 0.02237260527908802, -0.0017895392375066876, 0.030870884656906128, 0.03913483768701553, 0.028721105307340622, -0.08746788650751114, -0.06726498901844025, 0.030550427734851837, -0.051292676478624344, -0.012040538713335991, -0.044733524322509766, -0.01471735443919897, 0.050430890172719955, 0.06251542270183563, 0.030595941469073296, -0.029335377737879753, -0.07150132209062576, 0.007323477882891893, 0.03962543234229088, 0.020242417231202126, -0.06919679045677185, -0.000719633128028363, -0.028465235605835915, -0.05067083612084389, 0.041198741644620895, 0.0408339761197567, -0.013150904327630997, -0.0034292598720639944, -0.03824466094374657, 0.1173982098698616, -0.03489082306623459, 0.07310464233160019, 0.011096460744738579, -0.10176191478967667, -0.03693506121635437, 0.057887736707925797, -0.07120587676763535, -0.02009763941168785, 0.00239337095990777, -0.004467049613595009, 0.03677554801106453, -0.015266085974872112, -0.13944780826568604, -0.1178574189543724, 0.03360045328736305, 0.042970363050699234, -0.013556691817939281, -0.0001981141249416396, -6.887629885754693e-33, -0.0028007104992866516, 0.020932285115122795, -0.022501766681671143, 0.04444265738129616, -0.0006320918910205364, 0.05890962854027748, -0.012660044245421886, 0.05716734752058983, -0.04513513669371605, -0.09467639774084091, 0.013958216644823551, 0.02336261048913002, 0.00334105733782053, -0.013512198813259602, 0.023591943085193634, 0.022580279037356377, -0.02195846289396286, -0.03501188009977341, -0.08708706498146057, -0.014778329990804195, 0.02298426814377308, -0.021682387217879295, -0.040623005479574203, -0.046393830329179764, 0.006102451588958502, -0.038538284599781036, 0.058348044753074646, -0.015875190496444702, -0.10223597288131714, 0.09614963084459305, 0.00943590234965086, -0.07387389242649078, -0.011450889520347118, 0.03491544723510742, -0.05727197229862213, 0.035121116787195206, -0.0006446440238505602, 0.002608491573482752, 0.0022659010719507933, 0.0351492315530777, -0.0012554177083075047, 0.14485837519168854, 0.05454244837164879, 0.022758521139621735, -0.05048789083957672, 0.024018188938498497, -0.012645335868000984, 0.10815417766571045, -0.004404997918754816, -0.023891335353255272, -0.042269978672266006, -0.03255069628357887, 0.038403138518333435, 0.10105188935995102, -0.07410760223865509, 0.09305593371391296, 0.04461587965488434, -0.0039409613236784935, -0.05121435970067978, -0.005510053131729364, -0.027260102331638336, -0.025750108063220978, 0.06186697632074356, 0.006449312902987003, 0.05309291556477547, -0.04354504495859146, -0.002882270375266671, 0.06685709208250046, -0.0685063973069191, -0.011797845363616943, 0.003197472309693694, -0.03341405838727951, -0.06926533579826355, 0.00559909688308835, 0.05043896287679672, 0.05146598443388939, 0.09510369598865509, -0.06406715512275696, 0.014432897791266441, -0.04868349805474281, 0.03722573071718216, 0.01897314563393593, 0.09117039293050766, 0.005964869167655706, 0.07934599369764328, -0.012050112709403038, -0.04808187112212181, -0.03751760721206665, 0.07366943359375, 0.07363037765026093, -0.056011904031038284, -0.03805594518780708, 0.0033635287545621395, 0.07922472804784775, -0.0054459646344184875, -5.147467874166978e-8, -0.02839696779847145, 0.0012030878569930792, -0.04898996651172638, 0.04055555909872055, -0.024153035134077072, 0.005569133907556534, -0.013301461935043335, 0.05164642632007599, -0.0010010168189182878, -0.0066029708832502365, -0.029612703248858452, 0.0052694459445774555, -0.10339854657649994, -0.0032020548824220896, 0.0019742532167583704, 0.07664711773395538, -0.017220698297023773, 0.06200798973441124, -0.055127184838056564, 0.1280253827571869, 0.02200254239141941, 0.027686551213264465, -0.039883095771074295, -0.08684451878070831, 0.03698201850056648, 0.010846719145774841, 0.03263420611619949, 0.028559068217873573, -0.030222605913877487, -0.029130958020687103, 0.011244635097682476, 0.03121480904519558, -0.010609122924506664, -0.03436940535902977, -0.09059766680002213, 0.057121146470308304, -0.02684045024216175, 0.08912817388772964, -0.06792239844799042, 0.06479053944349289, 0.03637419641017914, 0.10570136457681656, -0.021625280380249023, -0.014306795783340931, 0.008787511847913265, 0.07515490055084229, 0.026080824434757233, -0.049454886466264725, -0.09038326144218445, 0.11570511758327484, -0.07173015922307968, 0.05978109687566757, -0.006008775904774666, 0.04201555252075195, -0.009529336355626583, -0.09337524324655533, -0.03614436835050583, 0.022518625482916832, -0.054453425109386444, -0.012579234316945076, 0.05665642395615578, -0.011775949969887733, -0.04471403732895851, -0.01377113163471222 ]
null
null
null
null
null
null
null
[ -0.030399581417441368, -0.0019486388191580772, 0.07655151933431625, -0.03331673890352249, 0.04257940500974655, -0.034785930067300797, -0.013594202697277069, 0.10692869126796722, 0.043876536190509796, -0.008749149739742279, -0.03419937193393707, 0.02333570457994938, -0.12935854494571686, 0.030513564124703407, -0.036051422357559204, -0.05026612803339958, -0.01588319055736065, 0.02110959216952324, -0.040938906371593475, -0.03496995568275452, 0.05544302985072136, 0.04695763438940048, -0.06890938431024551, 0.056075092405080795, -0.05481885373592377, -0.04354092478752136, 0.08891446888446808, -0.12096275389194489, 0.00608178460970521, 0.01478708814829588, 0.02025046944618225, -0.014432189054787159, -0.1004474088549614, -0.0015638276236131787, -0.0023674580734223127, 0.05658331885933876, 0.045987971127033234, -0.024627316743135452, -0.04567702114582062, -0.04348894581198692, 0.013070141896605492, -0.005170806311070919, 0.04269642382860184, 0.015012674033641815, 0.024744365364313126, -0.01990284025669098, 0.03368808329105377, 0.016439970582723618, 0.0016293666558340192, -0.03942941129207611, 0.07605858147144318, -0.062160324305295944, -0.023762352764606476, -0.02360193058848381, -0.006415730807930231, 0.05200246721506119, -0.06201424077153206, -0.1325686275959015, 0.02975839376449585, -0.025677818804979324, 0.022180357947945595, 0.014553423039615154, -0.06591321527957916, -0.014176924712955952, 0.05697749927639961, 0.05821787938475609, 0.027123985812067986, -0.09171169251203537, -0.027641883119940758, 0.054918766021728516, -0.04108002036809921, 0.05103672668337822, -0.0693158358335495, -0.10624348372220993, -0.0396428257226944, 0.0547751858830452, 0.05585475638508797, -0.0017089764587581158, 0.017322231084108353, -0.024489909410476685, 0.08582958579063416, 0.05616512894630432, -0.009797321632504463, -0.044001057744026184, -0.04372389242053032, 0.031053662300109863, -0.046138864010572433, -0.02919864095747471, 0.11154745519161224, 0.008038325235247612, 0.06211483106017113, 0.014506900683045387, -0.11670590937137604, -0.045811623334884644, 0.02550221048295498, 0.004577788058668375, -0.039527010172605515, -0.026329712942242622, 0.1025366559624672, 0.04272466525435448, -0.019894594326615334, -0.04256470501422882, -0.024830881506204605, 0.09613103419542313, 0.07882528007030487, 0.039236947894096375, 0.0659404993057251, -0.011688441969454288, -0.04267656430602074, 0.022289011627435684, 0.018384279683232307, -0.0745571181178093, 0.03999093547463417, -0.04785996302962303, -0.04971940815448761, 0.04235294461250305, 0.0071363504976034164, 0.0923059731721878, -0.06193079054355621, 0.005258051212877035, -0.06949694454669952, 0.040043480694293976, 0.010116134770214558, 0.016635026782751083, 0.004625557456165552, 0.06965532153844833, 0.010776622220873833, 5.7998064750106244e-33, 0.046534765511751175, 0.034269969910383224, 0.04682633653283119, 0.023572133854031563, 0.01717248558998108, 0.0648675411939621, -0.061292048543691635, 0.0451018288731575, 0.03165030479431152, 0.010793468914926052, -0.10717562586069107, -0.012905853800475597, -0.00042827866855077446, -0.02662285976111889, -0.020906303077936172, 0.005719649139791727, 0.11384095251560211, 0.024632923305034637, -0.059559714049100876, 0.012005787342786789, -0.02427593618631363, 0.02930203080177307, 0.005690800957381725, -0.06185039505362511, -0.0502726174890995, 0.07298726588487625, -0.03444278985261917, 0.05859179049730301, -0.044563934206962585, 0.032979566603899, -0.06498103588819504, -0.03595700114965439, -0.07771239429712296, 0.056788016110658646, -0.034321896731853485, 0.05611179769039154, -0.06113244220614433, 0.03649408370256424, -0.0375731997191906, 0.007120741531252861, -0.045866597443819046, 0.07386628538370132, -0.025155697017908096, -0.07981502264738083, -0.0387888066470623, -0.030412154272198677, 0.11500643938779831, 0.02237260527908802, -0.0017895392375066876, 0.030870884656906128, 0.03913483768701553, 0.028721105307340622, -0.08746788650751114, -0.06726498901844025, 0.030550427734851837, -0.051292676478624344, -0.012040538713335991, -0.044733524322509766, -0.01471735443919897, 0.050430890172719955, 0.06251542270183563, 0.030595941469073296, -0.029335377737879753, -0.07150132209062576, 0.007323477882891893, 0.03962543234229088, 0.020242417231202126, -0.06919679045677185, -0.000719633128028363, -0.028465235605835915, -0.05067083612084389, 0.041198741644620895, 0.0408339761197567, -0.013150904327630997, -0.0034292598720639944, -0.03824466094374657, 0.1173982098698616, -0.03489082306623459, 0.07310464233160019, 0.011096460744738579, -0.10176191478967667, -0.03693506121635437, 0.057887736707925797, -0.07120587676763535, -0.02009763941168785, 0.00239337095990777, -0.004467049613595009, 0.03677554801106453, -0.015266085974872112, -0.13944780826568604, -0.1178574189543724, 0.03360045328736305, 0.042970363050699234, -0.013556691817939281, -0.0001981141249416396, -6.887629885754693e-33, -0.0028007104992866516, 0.020932285115122795, -0.022501766681671143, 0.04444265738129616, -0.0006320918910205364, 0.05890962854027748, -0.012660044245421886, 0.05716734752058983, -0.04513513669371605, -0.09467639774084091, 0.013958216644823551, 0.02336261048913002, 0.00334105733782053, -0.013512198813259602, 0.023591943085193634, 0.022580279037356377, -0.02195846289396286, -0.03501188009977341, -0.08708706498146057, -0.014778329990804195, 0.02298426814377308, -0.021682387217879295, -0.040623005479574203, -0.046393830329179764, 0.006102451588958502, -0.038538284599781036, 0.058348044753074646, -0.015875190496444702, -0.10223597288131714, 0.09614963084459305, 0.00943590234965086, -0.07387389242649078, -0.011450889520347118, 0.03491544723510742, -0.05727197229862213, 0.035121116787195206, -0.0006446440238505602, 0.002608491573482752, 0.0022659010719507933, 0.0351492315530777, -0.0012554177083075047, 0.14485837519168854, 0.05454244837164879, 0.022758521139621735, -0.05048789083957672, 0.024018188938498497, -0.012645335868000984, 0.10815417766571045, -0.004404997918754816, -0.023891335353255272, -0.042269978672266006, -0.03255069628357887, 0.038403138518333435, 0.10105188935995102, -0.07410760223865509, 0.09305593371391296, 0.04461587965488434, -0.0039409613236784935, -0.05121435970067978, -0.005510053131729364, -0.027260102331638336, -0.025750108063220978, 0.06186697632074356, 0.006449312902987003, 0.05309291556477547, -0.04354504495859146, -0.002882270375266671, 0.06685709208250046, -0.0685063973069191, -0.011797845363616943, 0.003197472309693694, -0.03341405838727951, -0.06926533579826355, 0.00559909688308835, 0.05043896287679672, 0.05146598443388939, 0.09510369598865509, -0.06406715512275696, 0.014432897791266441, -0.04868349805474281, 0.03722573071718216, 0.01897314563393593, 0.09117039293050766, 0.005964869167655706, 0.07934599369764328, -0.012050112709403038, -0.04808187112212181, -0.03751760721206665, 0.07366943359375, 0.07363037765026093, -0.056011904031038284, -0.03805594518780708, 0.0033635287545621395, 0.07922472804784775, -0.0054459646344184875, -5.147467874166978e-8, -0.02839696779847145, 0.0012030878569930792, -0.04898996651172638, 0.04055555909872055, -0.024153035134077072, 0.005569133907556534, -0.013301461935043335, 0.05164642632007599, -0.0010010168189182878, -0.0066029708832502365, -0.029612703248858452, 0.0052694459445774555, -0.10339854657649994, -0.0032020548824220896, 0.0019742532167583704, 0.07664711773395538, -0.017220698297023773, 0.06200798973441124, -0.055127184838056564, 0.1280253827571869, 0.02200254239141941, 0.027686551213264465, -0.039883095771074295, -0.08684451878070831, 0.03698201850056648, 0.010846719145774841, 0.03263420611619949, 0.028559068217873573, -0.030222605913877487, -0.029130958020687103, 0.011244635097682476, 0.03121480904519558, -0.010609122924506664, -0.03436940535902977, -0.09059766680002213, 0.057121146470308304, -0.02684045024216175, 0.08912817388772964, -0.06792239844799042, 0.06479053944349289, 0.03637419641017914, 0.10570136457681656, -0.021625280380249023, -0.014306795783340931, 0.008787511847913265, 0.07515490055084229, 0.026080824434757233, -0.049454886466264725, -0.09038326144218445, 0.11570511758327484, -0.07173015922307968, 0.05978109687566757, -0.006008775904774666, 0.04201555252075195, -0.009529336355626583, -0.09337524324655533, -0.03614436835050583, 0.022518625482916832, -0.054453425109386444, -0.012579234316945076, 0.05665642395615578, -0.011775949969887733, -0.04471403732895851, -0.01377113163471222 ]
1402.0351
Howard M. Wiseman
Howard M. Wiseman
The Two Bell's Theorems of John Bell
35 pages. To be published in Special Issue of J.Phys.A. "50 years of Bell's theorem". This version has minor refinements in terminology and in a few definitions, and a few other minor changes
J. Phys. A: Math. Theor. 47 (2014) 424001
10.1088/1751-8113/47/42/424001
null
quant-ph physics.hist-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Many of the heated arguments about the meaning of "Bell's theorem" arise because this phrase can refer to two different theorems that John Bell proved, the first in 1964 and the second in 1976. His 1964 theorem is the incompatibility of quantum phenomena with the dual assumptions of locality and determinism. His 1976 theorem is the incompatibility of quantum phenomena with the unitary property of local causality. This is contrary to Bell's own later assertions, that his 1964 theorem began with that single, and indivisible, assumption of local causality (even if not by that name). While there are other forms of Bell's theorems --- which I present to explain the relation between Jarrett-completeness, "fragile locality", and EPR-completeness --- I maintain that Bell's two versions are the essential ones. Although the two Bell's theorems are logically equivalent, their assumptions are not, and the different versions of the theorem suggest quite different conclusions, which are embraced by different communities. For realists, the notion of local causality, ruled out by Bell's 1976 theorem, is motivated implicitly by Reichenbach's Principle of common cause and explicitly by the Principle of relativistic causality, and it is the latter which must be forgone. Operationalists pay no heed to Reichenbach's Principle, but wish to keep the Principle of relativistic causality, which, bolstered by an implicit "Principle of agent-causation", implies their notion of locality. Thus for operationalists, Bell's theorem is the 1964 one, and implies that it is determinism that must be forgone. I discuss why the two `camps' are drawn to these different conclusions, and what can be done to increase mutual understanding.
[ { "created": "Mon, 3 Feb 2014 11:57:36 GMT", "version": "v1" }, { "created": "Thu, 19 Jun 2014 16:30:51 GMT", "version": "v2" } ]
2014-10-13
[ [ "Wiseman", "Howard M.", "" ] ]
[ -0.0365867055952549, -0.10374093800783157, 0.037387993186712265, 0.04932181537151337, -0.007452074903994799, 0.08414310216903687, 0.002743585966527462, -0.02957134135067463, -0.0003155079612042755, 0.02621963992714882, -0.00033738985075615346, 0.0641559362411499, 0.006140487734228373, -0.008423286490142345, -0.03038736991584301, -0.07103363424539566, -0.006647289730608463, -0.09443929046392441, -0.04843799024820328, -0.033071018755435944, -0.05390618368983269, 0.01124829612672329, 0.04338280111551285, 0.08188588917255402, -0.043890953063964844, -0.021428139880299568, -0.05043011158704758, 0.0046376134268939495, 0.015213783830404282, 0.047641217708587646, -0.03538137301802635, 0.07385832816362381, -0.05225372314453125, -0.04080333933234215, -0.018752412870526314, 0.05624654144048691, 0.006928098388016224, 0.06193960830569267, 0.016977421939373016, 0.03333045914769173, -0.005709306802600622, -0.01460892055183649, -0.07279776781797409, 0.007968898862600327, 0.0027629374526441097, 0.016179125756025314, 0.02178991213440895, 0.02818857505917549, -0.1248590275645256, -0.11197829991579056, -0.01564771682024002, 0.11602144688367844, 0.01847989298403263, -0.03817126527428627, 0.05928118899464607, -0.028341030701994896, -0.04418585076928139, 0.01398648414760828, -0.032013799995183945, 0.01993757300078869, -0.013752406463027, -0.001556294853799045, -0.06775345653295517, -0.011769824661314487, 0.1238834410905838, 0.043821025639772415, 0.030912362039089203, -0.014778664335608482, -0.024470528587698936, 0.03175755590200424, -0.0027948401402682066, -0.025559812784194946, -0.08865951746702194, 0.14983589947223663, 0.03414701670408249, -0.04197071120142937, 0.04481906816363335, 0.08071447163820267, -0.02574857324361801, 0.0035043619573116302, -0.06716012209653854, -0.006613071542233229, -0.020405273884534836, -0.07578548043966293, 0.0486963652074337, 0.009230170398950577, 0.013913769274950027, -0.018503757193684578, -0.0201035737991333, 0.007378181908279657, 0.047085586935281754, -0.08055973052978516, -0.030005618929862976, 0.007873754017055035, 0.10756199806928635, -0.016803471371531487, 0.046492576599121094, -0.05243587866425514, 0.127619668841362, 0.025380615144968033, -0.010355757549405098, 0.012297505512833595, 0.0005267984815873206, 0.0158712025731802, 0.11113855242729187, -0.016060587018728256, -0.05336908623576164, -0.03650123253464699, 0.015844691544771194, -0.0423305369913578, 0.03446432203054428, -0.043132539838552475, 0.0847330093383789, -0.049654338508844376, -0.07047814130783081, -0.06706555932760239, -0.053185924887657166, -0.021328508853912354, 0.07657685875892639, -0.03269023820757866, 0.013358714990317822, -0.06513679772615433, -0.10871201008558273, 0.04208872839808464, 0.05468307435512543, 0.0094836400821805, -0.047789834439754486, 1.6377745856854375e-33, 0.013891620561480522, -0.011500995606184006, 0.0038345116190612316, 0.01915675960481167, 0.04575183242559433, 0.04506067931652069, -0.006017026025801897, -0.029141703620553017, 0.03721291944384575, 0.002119265729561448, 0.050623875111341476, 0.005819198675453663, 0.05078493431210518, -0.05163707956671715, 0.052247170358896255, 0.11156141757965088, -0.07848196476697922, -0.0250481516122818, 0.054925065487623215, -0.023304389789700508, 0.06491410732269287, 0.016745371744036674, -0.055323854088783264, -0.012966381385922432, -0.04711109399795532, -0.009379306808114052, 0.07893761247396469, 0.03244950622320175, -0.0391157865524292, 0.0011017004726454616, -0.006210758350789547, -0.001919441157951951, 0.039734940975904465, 0.06235574185848236, 0.008388835936784744, -0.051855236291885376, -0.009529577568173409, -0.12223690003156662, -0.029318539425730705, 0.05774560570716858, 0.002921113045886159, 0.0447988361120224, -0.09380467981100082, -0.03070949763059616, 0.06505119055509567, -0.05146947130560875, -0.012059704400599003, -0.003116319188848138, 0.02399277500808239, -0.036944981664419174, 0.04727804660797119, -0.0015803856076672673, 0.06538976728916168, -0.05248979479074478, 0.04593149572610855, 0.02269420027732849, -0.024256708100438118, -0.01760750263929367, 0.07021670788526535, 0.06519089639186859, -0.05152904614806175, -0.01453357096761465, -0.011941041797399521, -0.04349832609295845, 0.023824168369174004, -0.013365008868277073, -0.09367076307535172, -0.021596858277916908, -0.014404278248548508, -0.03667088970541954, 0.044762443751096725, 0.005642357282340527, -0.021739326417446136, -0.043181661516427994, 0.053040724247694016, -0.02800457738339901, -0.036204349249601364, 0.0027267299592494965, 0.023674076423048973, -0.010385173372924328, -0.021543167531490326, -0.01097971573472023, -0.10138023644685745, 0.02125818096101284, -0.049290794879198074, -0.010059227235615253, -0.038315702229738235, -0.06727515161037445, 0.029126951470971107, -0.07517068088054657, 0.01330961100757122, -0.02345409244298935, 0.0608130544424057, -0.007420636247843504, -0.06908103078603745, -3.346700007716225e-33, 0.0021067867055535316, -0.08216790109872818, 0.030333787202835083, 0.06902516633272171, -0.05435433238744736, 0.04398111626505852, -0.07444767653942108, 0.006638877559453249, -0.03880828991532326, -0.062284279614686966, -0.023794347420334816, -0.0024866247549653053, 0.037184279412031174, -0.00468427874147892, -0.06113814562559128, 0.06061570718884468, 0.03827742487192154, -0.02221108227968216, -0.09378105401992798, 0.06856445223093033, 0.09542231261730194, -0.04908668249845505, -0.027273651212453842, -0.04828407242894173, -0.04149695485830307, 0.01636885479092598, -0.010046765208244324, 0.01754346676170826, 0.009909420274198055, -0.03872347250580788, 0.009323116391897202, -0.08016647398471832, -0.08473466336727142, 0.01032940112054348, -0.06151352822780609, 0.025020791217684746, 0.10419224202632904, 0.07801630347967148, -0.08770285546779633, -0.030477935448288918, 0.005936275701969862, -0.022353626787662506, 0.0043952977284789085, -0.045904699712991714, 0.044908612966537476, 0.037811052054166794, -0.020696857944130898, 0.025160692632198334, -0.06998246908187866, -0.01529569923877716, -0.003780222265049815, 0.03456706926226616, 0.021690988913178444, 0.08936617523431778, -0.06032215803861618, 0.05371851846575737, 0.03007328324019909, 0.006026180926710367, 0.0002781238581519574, -0.00011807290866272524, 0.024118075147271156, -0.051588091999292374, 0.06946128606796265, 0.11998043954372406, -0.002319606253877282, 0.010274751111865044, 0.01606280915439129, 0.015924682840704918, 0.1028592437505722, -0.06330537796020508, -0.10319716483354568, -0.0015313579933717847, -0.0712532326579094, -0.11384738236665726, 0.0891190767288208, 0.21934041380882263, 0.0024932599626481533, -0.03573255240917206, -0.07796472311019897, 0.011463726870715618, 0.03877843916416168, 0.0017402144148945808, -0.040927283465862274, -0.01706767827272415, -0.016222719103097916, 0.042281851172447205, 0.008549998514354229, -0.0150701142847538, -0.02222621813416481, -0.018574189394712448, -0.04704554006457329, 0.02982145920395851, 0.027590950950980186, 0.023869754746556282, 0.003368118777871132, -5.399480329515427e-8, 0.029859405010938644, 0.0447327196598053, -0.10361999273300171, -0.0450901985168457, 0.035311002284288406, -0.051489993929862976, 0.04728619381785393, 0.023102538660168648, -0.04068655148148537, 0.13836948573589325, 0.04912969097495079, -0.003935113549232483, 0.006600670982152224, 0.019099844619631767, 0.029630059376358986, -0.037835679948329926, -0.007034344132989645, -0.014287046156823635, -0.022877488285303116, 0.03770939260721207, 0.04558243229985237, -0.008702675811946392, 0.06940015405416489, 0.04893149062991142, -0.04095980525016785, -0.003027228405699134, 0.04015404358506203, 0.051626306027173996, -0.0486854612827301, 0.0025948653928935528, -0.04920029267668724, 0.032657645642757416, 0.07882886379957199, 0.026482323184609413, 0.0394212044775486, -0.08910994231700897, 0.009490039199590683, 0.035667017102241516, -0.05082105100154877, -0.08553455770015717, 0.021296482533216476, -0.01939961314201355, -0.06922648102045059, 0.10366176813840866, 0.15312153100967407, -0.049644991755485535, 0.02583005279302597, 0.015696819871664047, -0.007167761214077473, 0.08309650421142578, 0.0371381938457489, 0.08650417625904083, -0.03671584278345108, -0.052348677068948746, -0.008729728870093822, 0.0758897140622139, -0.03347031772136688, -0.02369309403002262, -0.029162710532546043, 0.029370050877332687, 0.01830008253455162, 0.059360284358263016, -0.023063406348228455, -0.03021422028541565 ]
null
null
null
null
null
null
null
[ -0.0365867055952549, -0.10374093800783157, 0.037387993186712265, 0.04932181537151337, -0.007452074903994799, 0.08414310216903687, 0.002743585966527462, -0.02957134135067463, -0.0003155079612042755, 0.02621963992714882, -0.00033738985075615346, 0.0641559362411499, 0.006140487734228373, -0.008423286490142345, -0.03038736991584301, -0.07103363424539566, -0.006647289730608463, -0.09443929046392441, -0.04843799024820328, -0.033071018755435944, -0.05390618368983269, 0.01124829612672329, 0.04338280111551285, 0.08188588917255402, -0.043890953063964844, -0.021428139880299568, -0.05043011158704758, 0.0046376134268939495, 0.015213783830404282, 0.047641217708587646, -0.03538137301802635, 0.07385832816362381, -0.05225372314453125, -0.04080333933234215, -0.018752412870526314, 0.05624654144048691, 0.006928098388016224, 0.06193960830569267, 0.016977421939373016, 0.03333045914769173, -0.005709306802600622, -0.01460892055183649, -0.07279776781797409, 0.007968898862600327, 0.0027629374526441097, 0.016179125756025314, 0.02178991213440895, 0.02818857505917549, -0.1248590275645256, -0.11197829991579056, -0.01564771682024002, 0.11602144688367844, 0.01847989298403263, -0.03817126527428627, 0.05928118899464607, -0.028341030701994896, -0.04418585076928139, 0.01398648414760828, -0.032013799995183945, 0.01993757300078869, -0.013752406463027, -0.001556294853799045, -0.06775345653295517, -0.011769824661314487, 0.1238834410905838, 0.043821025639772415, 0.030912362039089203, -0.014778664335608482, -0.024470528587698936, 0.03175755590200424, -0.0027948401402682066, -0.025559812784194946, -0.08865951746702194, 0.14983589947223663, 0.03414701670408249, -0.04197071120142937, 0.04481906816363335, 0.08071447163820267, -0.02574857324361801, 0.0035043619573116302, -0.06716012209653854, -0.006613071542233229, -0.020405273884534836, -0.07578548043966293, 0.0486963652074337, 0.009230170398950577, 0.013913769274950027, -0.018503757193684578, -0.0201035737991333, 0.007378181908279657, 0.047085586935281754, -0.08055973052978516, -0.030005618929862976, 0.007873754017055035, 0.10756199806928635, -0.016803471371531487, 0.046492576599121094, -0.05243587866425514, 0.127619668841362, 0.025380615144968033, -0.010355757549405098, 0.012297505512833595, 0.0005267984815873206, 0.0158712025731802, 0.11113855242729187, -0.016060587018728256, -0.05336908623576164, -0.03650123253464699, 0.015844691544771194, -0.0423305369913578, 0.03446432203054428, -0.043132539838552475, 0.0847330093383789, -0.049654338508844376, -0.07047814130783081, -0.06706555932760239, -0.053185924887657166, -0.021328508853912354, 0.07657685875892639, -0.03269023820757866, 0.013358714990317822, -0.06513679772615433, -0.10871201008558273, 0.04208872839808464, 0.05468307435512543, 0.0094836400821805, -0.047789834439754486, 1.6377745856854375e-33, 0.013891620561480522, -0.011500995606184006, 0.0038345116190612316, 0.01915675960481167, 0.04575183242559433, 0.04506067931652069, -0.006017026025801897, -0.029141703620553017, 0.03721291944384575, 0.002119265729561448, 0.050623875111341476, 0.005819198675453663, 0.05078493431210518, -0.05163707956671715, 0.052247170358896255, 0.11156141757965088, -0.07848196476697922, -0.0250481516122818, 0.054925065487623215, -0.023304389789700508, 0.06491410732269287, 0.016745371744036674, -0.055323854088783264, -0.012966381385922432, -0.04711109399795532, -0.009379306808114052, 0.07893761247396469, 0.03244950622320175, -0.0391157865524292, 0.0011017004726454616, -0.006210758350789547, -0.001919441157951951, 0.039734940975904465, 0.06235574185848236, 0.008388835936784744, -0.051855236291885376, -0.009529577568173409, -0.12223690003156662, -0.029318539425730705, 0.05774560570716858, 0.002921113045886159, 0.0447988361120224, -0.09380467981100082, -0.03070949763059616, 0.06505119055509567, -0.05146947130560875, -0.012059704400599003, -0.003116319188848138, 0.02399277500808239, -0.036944981664419174, 0.04727804660797119, -0.0015803856076672673, 0.06538976728916168, -0.05248979479074478, 0.04593149572610855, 0.02269420027732849, -0.024256708100438118, -0.01760750263929367, 0.07021670788526535, 0.06519089639186859, -0.05152904614806175, -0.01453357096761465, -0.011941041797399521, -0.04349832609295845, 0.023824168369174004, -0.013365008868277073, -0.09367076307535172, -0.021596858277916908, -0.014404278248548508, -0.03667088970541954, 0.044762443751096725, 0.005642357282340527, -0.021739326417446136, -0.043181661516427994, 0.053040724247694016, -0.02800457738339901, -0.036204349249601364, 0.0027267299592494965, 0.023674076423048973, -0.010385173372924328, -0.021543167531490326, -0.01097971573472023, -0.10138023644685745, 0.02125818096101284, -0.049290794879198074, -0.010059227235615253, -0.038315702229738235, -0.06727515161037445, 0.029126951470971107, -0.07517068088054657, 0.01330961100757122, -0.02345409244298935, 0.0608130544424057, -0.007420636247843504, -0.06908103078603745, -3.346700007716225e-33, 0.0021067867055535316, -0.08216790109872818, 0.030333787202835083, 0.06902516633272171, -0.05435433238744736, 0.04398111626505852, -0.07444767653942108, 0.006638877559453249, -0.03880828991532326, -0.062284279614686966, -0.023794347420334816, -0.0024866247549653053, 0.037184279412031174, -0.00468427874147892, -0.06113814562559128, 0.06061570718884468, 0.03827742487192154, -0.02221108227968216, -0.09378105401992798, 0.06856445223093033, 0.09542231261730194, -0.04908668249845505, -0.027273651212453842, -0.04828407242894173, -0.04149695485830307, 0.01636885479092598, -0.010046765208244324, 0.01754346676170826, 0.009909420274198055, -0.03872347250580788, 0.009323116391897202, -0.08016647398471832, -0.08473466336727142, 0.01032940112054348, -0.06151352822780609, 0.025020791217684746, 0.10419224202632904, 0.07801630347967148, -0.08770285546779633, -0.030477935448288918, 0.005936275701969862, -0.022353626787662506, 0.0043952977284789085, -0.045904699712991714, 0.044908612966537476, 0.037811052054166794, -0.020696857944130898, 0.025160692632198334, -0.06998246908187866, -0.01529569923877716, -0.003780222265049815, 0.03456706926226616, 0.021690988913178444, 0.08936617523431778, -0.06032215803861618, 0.05371851846575737, 0.03007328324019909, 0.006026180926710367, 0.0002781238581519574, -0.00011807290866272524, 0.024118075147271156, -0.051588091999292374, 0.06946128606796265, 0.11998043954372406, -0.002319606253877282, 0.010274751111865044, 0.01606280915439129, 0.015924682840704918, 0.1028592437505722, -0.06330537796020508, -0.10319716483354568, -0.0015313579933717847, -0.0712532326579094, -0.11384738236665726, 0.0891190767288208, 0.21934041380882263, 0.0024932599626481533, -0.03573255240917206, -0.07796472311019897, 0.011463726870715618, 0.03877843916416168, 0.0017402144148945808, -0.040927283465862274, -0.01706767827272415, -0.016222719103097916, 0.042281851172447205, 0.008549998514354229, -0.0150701142847538, -0.02222621813416481, -0.018574189394712448, -0.04704554006457329, 0.02982145920395851, 0.027590950950980186, 0.023869754746556282, 0.003368118777871132, -5.399480329515427e-8, 0.029859405010938644, 0.0447327196598053, -0.10361999273300171, -0.0450901985168457, 0.035311002284288406, -0.051489993929862976, 0.04728619381785393, 0.023102538660168648, -0.04068655148148537, 0.13836948573589325, 0.04912969097495079, -0.003935113549232483, 0.006600670982152224, 0.019099844619631767, 0.029630059376358986, -0.037835679948329926, -0.007034344132989645, -0.014287046156823635, -0.022877488285303116, 0.03770939260721207, 0.04558243229985237, -0.008702675811946392, 0.06940015405416489, 0.04893149062991142, -0.04095980525016785, -0.003027228405699134, 0.04015404358506203, 0.051626306027173996, -0.0486854612827301, 0.0025948653928935528, -0.04920029267668724, 0.032657645642757416, 0.07882886379957199, 0.026482323184609413, 0.0394212044775486, -0.08910994231700897, 0.009490039199590683, 0.035667017102241516, -0.05082105100154877, -0.08553455770015717, 0.021296482533216476, -0.01939961314201355, -0.06922648102045059, 0.10366176813840866, 0.15312153100967407, -0.049644991755485535, 0.02583005279302597, 0.015696819871664047, -0.007167761214077473, 0.08309650421142578, 0.0371381938457489, 0.08650417625904083, -0.03671584278345108, -0.052348677068948746, -0.008729728870093822, 0.0758897140622139, -0.03347031772136688, -0.02369309403002262, -0.029162710532546043, 0.029370050877332687, 0.01830008253455162, 0.059360284358263016, -0.023063406348228455, -0.03021422028541565 ]
1402.0355
Yong Yang
Yong Yang, Jonathan Ward and S\'ile Nic Chormaic
Quasi-droplet Microbubbles for High Resolution Sensing Applications
null
null
10.1364/OE.22.006881
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Optical properties and sensing capabilities of fused silica microbubbles were studied numerically using a finite element method. Mode characteristics, such as quality factor (Q) and effective refractive index, were determined for different bubble diameters and shell thicknesses. For sensing applications with whispering gallery modes (WGMs), thinner shells yield improved sensitivity. However, the Q-factor decreases with reduced thickness and this limits the final resolution. Three types of sensing applications with microbubbles, based on their optimized geometrical parameters, were studied. Herein the so-called quasi-droplet regime is defined and discussed. It is shown that best resolution can be achieved when microbubbles act as quasi-droplets, even for water-filled cavities at the telecommunications C-band.
[ { "created": "Mon, 3 Feb 2014 12:11:47 GMT", "version": "v1" } ]
2014-07-24
[ [ "Yang", "Yong", "" ], [ "Ward", "Jonathan", "" ], [ "Chormaic", "Síle Nic", "" ] ]
[ 0.04391331598162651, -0.08514099568128586, 0.07785069197416306, -0.04802359640598297, -0.07775291055440903, -0.06442130357027054, 0.0998653843998909, -0.004739167634397745, -0.04442669823765755, -0.038632217794656754, -0.026265764608979225, -0.03645912557840347, -0.00046255093184299767, 0.03602847829461098, 0.02384364791214466, 0.011410150676965714, 0.038013704121112823, 0.01077976543456316, 0.07232923060655594, 0.005631787236779928, 0.0754493921995163, -0.10133630037307739, -0.0680103674530983, -0.0699349120259285, 0.024459732696413994, 0.002806094940751791, -0.022742383182048798, -0.03605858236551285, 0.000815164705272764, 0.014615011401474476, 0.059081122279167175, 0.11398448050022125, 0.03075471892952919, -0.08641866594552994, 0.04615554213523865, -0.06802789121866226, -0.027837015688419342, -0.010369325987994671, -0.024663850665092468, -0.05566591024398804, 0.01605668105185032, 0.021437888965010643, 0.0749681144952774, 0.009605366736650467, -0.008239376358687878, 0.002697193995118141, 0.08601463586091995, 0.06629829853773117, -0.050201620906591415, -0.013061726465821266, -0.03352567180991173, -0.05047743022441864, -0.005103462375700474, -0.03713886812329292, 0.009237369522452354, -0.057376276701688766, -0.02022770419716835, 0.010018277913331985, 0.0007523766253143549, -0.01406546775251627, 0.06928147375583649, -0.020146721974015236, 0.0062588658183813095, -0.0008372879237867892, -0.01711202599108219, 0.03650565817952156, 0.019574880599975586, -0.03659133240580559, 0.03779582306742668, -0.00020485278218984604, 0.01276694517582655, -0.011028306558728218, -0.010402285493910313, 0.04162190109491348, 0.02474203333258629, -0.05932384356856346, -0.017524011433124542, 0.05619555339217186, -0.039595503360033035, 0.17299628257751465, -0.02268969640135765, 0.049462608993053436, -0.037418823689222336, -0.0762154757976532, -0.00635789567604661, -0.0026940160896629095, 0.03866330906748772, -0.010038347914814949, -0.11742110550403595, -0.10622597485780716, 0.04885115474462509, -0.002463426673784852, -0.09583377838134766, 0.033121977001428604, 0.06839895248413086, -0.05595124885439873, 0.012388093397021294, -0.00230930233374238, 0.012668916024267673, 0.009772159159183502, -0.0351225920021534, -0.09318605810403824, -0.052351731806993484, -0.012952305376529694, 0.03075731359422207, -0.0633181482553482, 0.010010178200900555, 0.04313306510448456, 0.030748210847377777, 0.05852213129401207, -0.038645561784505844, -0.038004737347364426, 0.02646504156291485, 0.019467992708086967, 0.019087055698037148, -0.08243999630212784, -0.013102207332849503, 0.06876013427972794, 0.013962254859507084, 0.00962415523827076, 0.03402288258075714, -0.02041851170361042, -0.05935794487595558, -0.053061600774526596, 0.008419951424002647, 0.1352626532316208, -0.06590446829795837, 1.0782641621134874e-33, 0.011995798908174038, 0.030686529353260994, 0.00022047708625905216, -0.043397482484579086, 0.013827132061123848, -0.02235507220029831, 0.07380292564630508, -0.017144767567515373, 0.017624497413635254, -0.004876861814409494, 0.04229471832513809, -0.013299473561346531, -0.05227281153202057, 0.011566847562789917, 0.07106629759073257, -0.05819936841726303, 0.06298233568668365, -0.02364184334874153, 0.022184627130627632, -0.014607995748519897, -0.0743352621793747, -0.08921565860509872, -0.05391873046755791, 0.046824220567941666, 0.028403904289007187, 0.03770293667912483, -0.06113831698894501, 0.04863811284303665, 0.02040569670498371, -0.0002870355383493006, 0.00006630675488850102, -0.0354832261800766, 0.021763479337096214, 0.0035231485962867737, 0.05601431056857109, 0.01884329319000244, -0.051363468170166016, 0.08001787215471268, -0.01213272474706173, -0.001950638834387064, 0.0078226737678051, -0.017928343266248703, 0.0419757142663002, 0.042796120047569275, 0.008838898502290249, -0.059971895068883896, -0.12733834981918335, -0.004078327678143978, -0.006746925413608551, -0.06646521389484406, 0.05353802442550659, -0.08141354471445084, -0.004313196055591106, 0.02605973184108734, 0.08071093261241913, 0.0417400561273098, 0.02557983808219433, -0.03515991196036339, -0.11629245430231094, -0.15326561033725739, -0.04136008769273758, -0.08429627865552902, 0.12483388185501099, 0.006281577050685883, 0.0309038907289505, 0.046703651547431946, -0.017331860959529877, 0.045517440885305405, -0.044705700129270554, 0.007075871340930462, 0.0028408674988895655, 0.057078033685684204, -0.025966884568333626, -0.06593804806470871, -0.06004337593913078, 0.06005168706178665, 0.09078038483858109, -0.03545566648244858, 0.10377900302410126, 0.027207164093852043, 0.008106132037937641, 0.05068371072411537, -0.031133797019720078, -0.11741675436496735, -0.08074735105037689, 0.04043335095047951, 0.047901611775159836, -0.014266830869019032, 0.0059877424500882626, -0.059965092688798904, -0.02309303916990757, -0.016281383112072945, 0.05855324864387512, -0.04528210312128067, -0.0585799515247345, -1.9657944475724736e-33, -0.024760974571108818, -0.0016600947128608823, 0.034900739789009094, 0.04716143384575844, 0.04644329473376274, 0.0021315105259418488, 0.030376214534044266, -0.0187971368432045, 0.004466011188924313, -0.021925872191786766, -0.045294709503650665, 0.032291166484355927, -0.058655161410570145, 0.05303846299648285, -0.039627864956855774, 0.13460588455200195, 0.0773080363869667, -0.13828575611114502, 0.06398501992225647, -0.04631891846656799, 0.03361620008945465, -0.021069398149847984, 0.08918679505586624, 0.01852097362279892, -0.04307984933257103, -0.022444866597652435, 0.06230103597044945, -0.05450940132141113, 0.03854386880993843, -0.03776463866233826, 0.023816728964447975, -0.04163370653986931, 0.08332126587629318, -0.03841160610318184, 0.03687822446227074, -0.0018253616290166974, 0.04357115551829338, -0.03984719514846802, -0.023888126015663147, -0.04044343903660774, 0.006480814423412085, -0.00943424366414547, -0.028531992807984352, 0.015017733909189701, -0.03357962146401405, 0.01364271342754364, 0.047145403921604156, -0.022345295175909996, -0.004265429452061653, -0.02001001127064228, -0.010415123775601387, -0.013874744065105915, 0.028372982516884804, 0.08329237997531891, -0.031181711703538895, 0.017128150910139084, 0.018549533560872078, 0.06110495701432228, 0.022769950330257416, -0.03190089762210846, 0.02620270475745201, 0.0025261524133384228, -0.04270100221037865, -0.019629964604973793, 0.00953039899468422, 0.07852797210216522, -0.0044916062615811825, 0.00015637614706065506, 0.0022859331220388412, -0.036104120314121246, 0.02603924833238125, -0.026884648948907852, 0.058392930775880814, -0.011533594690263271, 0.025287332013249397, -0.008042414672672749, -0.08042456954717636, 0.015015725046396255, -0.04962388053536415, 0.10763558745384216, -0.016435783356428146, 0.06770246475934982, -0.03551289066672325, 0.08188635855913162, -0.0037870006635785103, -0.05555838346481323, -0.02654656022787094, 0.02161511965095997, -0.0006413387600332499, 0.08869103342294693, 0.028557272627949715, 0.03448755294084549, 0.12212494760751724, -0.08022797852754593, 0.02990783005952835, -4.4951001143545e-8, 0.060040902346372604, -0.011887946166098118, -0.06520689278841019, -0.07005789130926132, -0.034208960831165314, 0.00976691022515297, -0.03871932998299599, -0.09135160595178604, 0.025256512686610222, -0.04904038459062576, -0.011402565985918045, -0.11993581801652908, -0.11897511035203934, -0.011861405335366726, 0.14681223034858704, -0.0657854825258255, 0.047276485711336136, -0.07554029673337936, -0.009168734773993492, -0.009923525154590607, -0.013909433968365192, 0.04458151012659073, -0.0031002580653876066, -0.014714423567056656, -0.01632140576839447, 0.022356513887643814, -0.011065767146646976, 0.0009730115998536348, -0.04889741167426109, 0.061795011162757874, -0.013573345728218555, 0.06006879732012749, -0.009277303703129292, 0.06806285679340363, -0.07852860540151596, -0.01585833542048931, 0.018475396558642387, 0.007803298532962799, -0.0068600974045693874, -0.0031982462387531996, -0.015120119787752628, -0.007003013044595718, 0.012346125207841396, -0.023884771391749382, -0.0599517785012722, 0.007681607268750668, 0.16405217349529266, 0.01139847282320261, -0.011948375031352043, 0.10300806164741516, -0.05107707157731056, 0.08659210056066513, -0.02011724002659321, 0.06652061641216278, 0.01665586046874523, 0.013861184939742088, -0.014918879605829716, 0.08709464222192764, 0.060688577592372894, 0.029688261449337006, -0.05673493817448616, -0.023892909288406372, 0.006806579884141684, 0.06420156359672546 ]
null
null
null
null
null
null
null
[ 0.04391331598162651, -0.08514099568128586, 0.07785069197416306, -0.04802359640598297, -0.07775291055440903, -0.06442130357027054, 0.0998653843998909, -0.004739167634397745, -0.04442669823765755, -0.038632217794656754, -0.026265764608979225, -0.03645912557840347, -0.00046255093184299767, 0.03602847829461098, 0.02384364791214466, 0.011410150676965714, 0.038013704121112823, 0.01077976543456316, 0.07232923060655594, 0.005631787236779928, 0.0754493921995163, -0.10133630037307739, -0.0680103674530983, -0.0699349120259285, 0.024459732696413994, 0.002806094940751791, -0.022742383182048798, -0.03605858236551285, 0.000815164705272764, 0.014615011401474476, 0.059081122279167175, 0.11398448050022125, 0.03075471892952919, -0.08641866594552994, 0.04615554213523865, -0.06802789121866226, -0.027837015688419342, -0.010369325987994671, -0.024663850665092468, -0.05566591024398804, 0.01605668105185032, 0.021437888965010643, 0.0749681144952774, 0.009605366736650467, -0.008239376358687878, 0.002697193995118141, 0.08601463586091995, 0.06629829853773117, -0.050201620906591415, -0.013061726465821266, -0.03352567180991173, -0.05047743022441864, -0.005103462375700474, -0.03713886812329292, 0.009237369522452354, -0.057376276701688766, -0.02022770419716835, 0.010018277913331985, 0.0007523766253143549, -0.01406546775251627, 0.06928147375583649, -0.020146721974015236, 0.0062588658183813095, -0.0008372879237867892, -0.01711202599108219, 0.03650565817952156, 0.019574880599975586, -0.03659133240580559, 0.03779582306742668, -0.00020485278218984604, 0.01276694517582655, -0.011028306558728218, -0.010402285493910313, 0.04162190109491348, 0.02474203333258629, -0.05932384356856346, -0.017524011433124542, 0.05619555339217186, -0.039595503360033035, 0.17299628257751465, -0.02268969640135765, 0.049462608993053436, -0.037418823689222336, -0.0762154757976532, -0.00635789567604661, -0.0026940160896629095, 0.03866330906748772, -0.010038347914814949, -0.11742110550403595, -0.10622597485780716, 0.04885115474462509, -0.002463426673784852, -0.09583377838134766, 0.033121977001428604, 0.06839895248413086, -0.05595124885439873, 0.012388093397021294, -0.00230930233374238, 0.012668916024267673, 0.009772159159183502, -0.0351225920021534, -0.09318605810403824, -0.052351731806993484, -0.012952305376529694, 0.03075731359422207, -0.0633181482553482, 0.010010178200900555, 0.04313306510448456, 0.030748210847377777, 0.05852213129401207, -0.038645561784505844, -0.038004737347364426, 0.02646504156291485, 0.019467992708086967, 0.019087055698037148, -0.08243999630212784, -0.013102207332849503, 0.06876013427972794, 0.013962254859507084, 0.00962415523827076, 0.03402288258075714, -0.02041851170361042, -0.05935794487595558, -0.053061600774526596, 0.008419951424002647, 0.1352626532316208, -0.06590446829795837, 1.0782641621134874e-33, 0.011995798908174038, 0.030686529353260994, 0.00022047708625905216, -0.043397482484579086, 0.013827132061123848, -0.02235507220029831, 0.07380292564630508, -0.017144767567515373, 0.017624497413635254, -0.004876861814409494, 0.04229471832513809, -0.013299473561346531, -0.05227281153202057, 0.011566847562789917, 0.07106629759073257, -0.05819936841726303, 0.06298233568668365, -0.02364184334874153, 0.022184627130627632, -0.014607995748519897, -0.0743352621793747, -0.08921565860509872, -0.05391873046755791, 0.046824220567941666, 0.028403904289007187, 0.03770293667912483, -0.06113831698894501, 0.04863811284303665, 0.02040569670498371, -0.0002870355383493006, 0.00006630675488850102, -0.0354832261800766, 0.021763479337096214, 0.0035231485962867737, 0.05601431056857109, 0.01884329319000244, -0.051363468170166016, 0.08001787215471268, -0.01213272474706173, -0.001950638834387064, 0.0078226737678051, -0.017928343266248703, 0.0419757142663002, 0.042796120047569275, 0.008838898502290249, -0.059971895068883896, -0.12733834981918335, -0.004078327678143978, -0.006746925413608551, -0.06646521389484406, 0.05353802442550659, -0.08141354471445084, -0.004313196055591106, 0.02605973184108734, 0.08071093261241913, 0.0417400561273098, 0.02557983808219433, -0.03515991196036339, -0.11629245430231094, -0.15326561033725739, -0.04136008769273758, -0.08429627865552902, 0.12483388185501099, 0.006281577050685883, 0.0309038907289505, 0.046703651547431946, -0.017331860959529877, 0.045517440885305405, -0.044705700129270554, 0.007075871340930462, 0.0028408674988895655, 0.057078033685684204, -0.025966884568333626, -0.06593804806470871, -0.06004337593913078, 0.06005168706178665, 0.09078038483858109, -0.03545566648244858, 0.10377900302410126, 0.027207164093852043, 0.008106132037937641, 0.05068371072411537, -0.031133797019720078, -0.11741675436496735, -0.08074735105037689, 0.04043335095047951, 0.047901611775159836, -0.014266830869019032, 0.0059877424500882626, -0.059965092688798904, -0.02309303916990757, -0.016281383112072945, 0.05855324864387512, -0.04528210312128067, -0.0585799515247345, -1.9657944475724736e-33, -0.024760974571108818, -0.0016600947128608823, 0.034900739789009094, 0.04716143384575844, 0.04644329473376274, 0.0021315105259418488, 0.030376214534044266, -0.0187971368432045, 0.004466011188924313, -0.021925872191786766, -0.045294709503650665, 0.032291166484355927, -0.058655161410570145, 0.05303846299648285, -0.039627864956855774, 0.13460588455200195, 0.0773080363869667, -0.13828575611114502, 0.06398501992225647, -0.04631891846656799, 0.03361620008945465, -0.021069398149847984, 0.08918679505586624, 0.01852097362279892, -0.04307984933257103, -0.022444866597652435, 0.06230103597044945, -0.05450940132141113, 0.03854386880993843, -0.03776463866233826, 0.023816728964447975, -0.04163370653986931, 0.08332126587629318, -0.03841160610318184, 0.03687822446227074, -0.0018253616290166974, 0.04357115551829338, -0.03984719514846802, -0.023888126015663147, -0.04044343903660774, 0.006480814423412085, -0.00943424366414547, -0.028531992807984352, 0.015017733909189701, -0.03357962146401405, 0.01364271342754364, 0.047145403921604156, -0.022345295175909996, -0.004265429452061653, -0.02001001127064228, -0.010415123775601387, -0.013874744065105915, 0.028372982516884804, 0.08329237997531891, -0.031181711703538895, 0.017128150910139084, 0.018549533560872078, 0.06110495701432228, 0.022769950330257416, -0.03190089762210846, 0.02620270475745201, 0.0025261524133384228, -0.04270100221037865, -0.019629964604973793, 0.00953039899468422, 0.07852797210216522, -0.0044916062615811825, 0.00015637614706065506, 0.0022859331220388412, -0.036104120314121246, 0.02603924833238125, -0.026884648948907852, 0.058392930775880814, -0.011533594690263271, 0.025287332013249397, -0.008042414672672749, -0.08042456954717636, 0.015015725046396255, -0.04962388053536415, 0.10763558745384216, -0.016435783356428146, 0.06770246475934982, -0.03551289066672325, 0.08188635855913162, -0.0037870006635785103, -0.05555838346481323, -0.02654656022787094, 0.02161511965095997, -0.0006413387600332499, 0.08869103342294693, 0.028557272627949715, 0.03448755294084549, 0.12212494760751724, -0.08022797852754593, 0.02990783005952835, -4.4951001143545e-8, 0.060040902346372604, -0.011887946166098118, -0.06520689278841019, -0.07005789130926132, -0.034208960831165314, 0.00976691022515297, -0.03871932998299599, -0.09135160595178604, 0.025256512686610222, -0.04904038459062576, -0.011402565985918045, -0.11993581801652908, -0.11897511035203934, -0.011861405335366726, 0.14681223034858704, -0.0657854825258255, 0.047276485711336136, -0.07554029673337936, -0.009168734773993492, -0.009923525154590607, -0.013909433968365192, 0.04458151012659073, -0.0031002580653876066, -0.014714423567056656, -0.01632140576839447, 0.022356513887643814, -0.011065767146646976, 0.0009730115998536348, -0.04889741167426109, 0.061795011162757874, -0.013573345728218555, 0.06006879732012749, -0.009277303703129292, 0.06806285679340363, -0.07852860540151596, -0.01585833542048931, 0.018475396558642387, 0.007803298532962799, -0.0068600974045693874, -0.0031982462387531996, -0.015120119787752628, -0.007003013044595718, 0.012346125207841396, -0.023884771391749382, -0.0599517785012722, 0.007681607268750668, 0.16405217349529266, 0.01139847282320261, -0.011948375031352043, 0.10300806164741516, -0.05107707157731056, 0.08659210056066513, -0.02011724002659321, 0.06652061641216278, 0.01665586046874523, 0.013861184939742088, -0.014918879605829716, 0.08709464222192764, 0.060688577592372894, 0.029688261449337006, -0.05673493817448616, -0.023892909288406372, 0.006806579884141684, 0.06420156359672546 ]
1402.0362
S\'ebastien Mathieu
S\'ebastien Mathieu, Quentin Louveaux, Damien Ernst and Bertrand Corn\'elusse
A quantitative analysis of the effect of flexible loads on reserve markets
null
null
null
null
cs.GT cs.CE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose and analyze a day-ahead reserve market model that handles bids from flexible loads. This pool market model takes into account the fact that a load modulation in one direction must usually be compensated later by a modulation of the same magnitude in the opposite direction. Our analysis takes into account the gaming possibilities of producers and retailers, controlling load flexibility, in the day-ahead energy and reserve markets, and in imbalance settlement. This analysis is carried out by an agent-based approach where, for every round, each actor uses linear programs to maximize its profit according to forecasts of the prices. The procurement of a reserve is assumed to be determined, for each period, as a fixed percentage of the total consumption cleared in the energy market for the same period. The results show that the provision of reserves by flexible loads has a negligible impact on the energy market prices but markedly decreases the cost of reserve procurement. However, as the rate of flexible loads increases, the system operator has to rely more and more on non-contracted reserves, which may cancel out the benefits made in the procurement of reserves.
[ { "created": "Mon, 3 Feb 2014 12:34:25 GMT", "version": "v1" }, { "created": "Tue, 27 May 2014 09:51:02 GMT", "version": "v2" } ]
2014-05-28
[ [ "Mathieu", "Sébastien", "" ], [ "Louveaux", "Quentin", "" ], [ "Ernst", "Damien", "" ], [ "Cornélusse", "Bertrand", "" ] ]
[ -0.07634510844945908, 0.1155695989727974, -0.018700288608670235, 0.04652512073516846, -0.035371486097574234, -0.017433876171708107, -0.0038130609318614006, 0.02246001921594143, 0.01720556989312172, 0.011792103759944439, -0.101075179874897, 0.0008024239214137197, 0.01442890614271164, 0.04306088015437126, 0.10819108039140701, -0.012542163953185081, 0.056823089718818665, -0.004765323828905821, 0.012231333181262016, 0.03024344891309738, 0.02422163262963295, -0.04967547208070755, -0.051380597054958344, -0.05754069983959198, 0.04130105301737785, -0.03672909364104271, -0.014895033091306686, -0.01161242090165615, 0.022191835567355156, -0.017590798437595367, -0.09337114542722702, -0.01486721821129322, -0.049124330282211304, 0.007917598821222782, 0.019694523885846138, 0.05537037178874016, -0.14008817076683044, -0.010937326587736607, -0.0005384167307056487, 0.09638415277004242, 0.002704502083361149, -0.04634792357683182, -0.07697020471096039, 0.020884031429886818, -0.06006881594657898, -0.007548805326223373, 0.014464897103607655, 0.03286933898925781, 0.010648999363183975, -0.0037475628778338432, 0.050238803029060364, -0.014032445847988129, 0.006977018900215626, 0.0065475148148834705, -0.042468372732400894, -0.011457235552370548, 0.04114732891321182, -0.06816631555557251, 0.053882092237472534, 0.02674207091331482, 0.010525786317884922, -0.08180740475654602, -0.04578794166445732, 0.01756684109568596, 0.00007382012699963525, -0.02697785757482052, -0.012200617231428623, 0.07681488990783691, -0.07479820400476456, -0.08902785927057266, -0.009044764563441277, -0.017853358760476112, -0.030035177245736122, -0.12322252243757248, 0.04817405715584755, -0.03867019712924957, 0.09970556199550629, -0.010809425264596939, 0.058712467551231384, -0.004180978983640671, -0.01643206924200058, -0.027415405958890915, -0.05229455232620239, -0.04407007619738579, -0.02942383848130703, -0.00021942502644378692, 0.06697510182857513, 0.021815896034240723, 0.11116988956928253, -0.011027852073311806, 0.012278839014470577, 0.03428998962044716, 0.03712238743901253, 0.0554460734128952, 0.0820389837026596, 0.09582863003015518, -0.01866043731570244, 0.007933396846055984, -0.013505815528333187, 0.05561217665672302, 0.06898380815982819, 0.09016644209623337, 0.07604926079511642, 0.028356056660413742, -0.014099995605647564, -0.1289026141166687, -0.0713667944073677, -0.005515363533049822, 0.046335965394973755, -0.09470710158348083, 0.003483894979581237, 0.006656656041741371, 0.0889066830277443, -0.04644373804330826, -0.06325889378786087, 0.01901698298752308, -0.008789814077317715, 0.015392460860311985, -0.010273654013872147, 0.005880371667444706, 0.00834681000560522, -0.017295299097895622, 0.06164129450917244, 0.03807692602276802, 0.06984519958496094, 0.11797252297401428, 0.0034414951223880053, -1.0097075866991046e-33, -0.08295761793851852, -0.05869459733366966, 0.0379059761762619, -0.10032502561807632, -0.018954889848828316, -0.014417463913559914, 0.015211967751383781, 0.00672929547727108, -0.046836577355861664, -0.034626759588718414, 0.075850710272789, 0.06009778752923012, -0.06056034564971924, 0.06496218591928482, 0.04209559038281441, -0.05535947531461716, 0.03702063485980034, 0.04849357530474663, 0.18207451701164246, -0.008111141622066498, -0.0011569707421585917, -0.011288480833172798, 0.05231794714927673, -0.020856397226452827, -0.0009938684524968266, -0.055697690695524216, 0.0015473574167117476, -0.021462060511112213, 0.06526801735162735, 0.016169806942343712, 0.029441721737384796, 0.04459283500909805, -0.027891339734196663, 0.02745557390153408, -0.07665789127349854, 0.017514929175376892, -0.0026927893050014973, -0.009662670083343983, -0.004955507814884186, 0.027701515704393387, -0.060483500361442566, 0.07231055200099945, -0.01017187349498272, -0.07477650791406631, -0.07279086112976074, -0.015534219332039356, 0.03034556657075882, -0.051979679614305496, -0.12051700800657272, 0.0315212719142437, -0.03956222161650658, 0.06096295267343521, -0.044190771877765656, -0.036954790353775024, -0.0167087409645319, -0.05694613233208656, -0.037335723638534546, -0.06792447715997696, -0.029176928102970123, 0.021016648039221764, -0.05418763682246208, -0.020893603563308716, 0.05198412761092186, 0.04799169301986694, -0.00254576513543725, 0.015664197504520416, -0.003922755364328623, -0.018208181485533714, -0.08366261422634125, 0.07220388203859329, 0.008024808019399643, -0.06457442790269852, -0.00802952703088522, -0.0070629059337079525, -0.001616286113858223, -0.039273738861083984, 0.04874162748456001, 0.0673510879278183, -0.0914011299610138, -0.023022038862109184, -0.05156037583947182, 0.03532349690794945, 0.03876160830259323, 0.01670006476342678, -0.022273896262049675, -0.08955704420804977, -0.025692397728562355, -0.031251225620508194, 0.025110408663749695, -0.07765036076307297, -0.14164917171001434, 0.037675097584724426, -0.021632052958011627, 0.04748167842626572, 0.07145388424396515, -9.70870263538394e-34, 0.026186054572463036, 0.01713472791016102, -0.10663829743862152, -0.018119605258107185, 0.052333395928144455, -0.011824813671410084, -0.03728638216853142, -0.07829491794109344, -0.05087845399975777, 0.034496307373046875, -0.08731519430875778, 0.07116095721721649, -0.0408567413687706, 0.0008206639322452247, -0.0794295072555542, -0.05246816202998161, 0.017259899526834488, 0.011513728648424149, -0.0226440392434597, -0.003526256186887622, 0.037998247891664505, 0.03610267862677574, -0.024882692843675613, 0.021199263632297516, 0.08086396753787994, 0.05364854261279106, -0.06827941536903381, 0.0789264366030693, -0.01952766254544258, -0.01851772516965866, -0.04564478248357773, 0.006021327804774046, 0.019629182294011116, -0.02895188517868519, -0.040845293551683426, 0.06938528269529343, 0.026528388261795044, 0.06400088220834732, 0.10111519694328308, 0.12948879599571228, 0.051223449409008026, -0.07741006463766098, 0.038497865200042725, 0.00037105768569745123, -0.010252292267978191, -0.02367582358419895, 0.058029625564813614, -0.009229635819792747, 0.04382536932826042, 0.038719628006219864, 0.006761722732335329, 0.05989960581064224, -0.04479905962944031, -0.03579704090952873, -0.04900524392724037, -0.0741042047739029, 0.025448670610785484, 0.0445355661213398, -0.020961357280611992, 0.026015715673565865, 0.003695534775033593, 0.03228795528411865, 0.03641033545136452, -0.0411682203412056, -0.021508295089006424, 0.04666009172797203, 0.02185974456369877, -0.10012324154376984, 0.10366653650999069, -0.05360041558742523, -0.02165484055876732, 0.012776341289281845, 0.024128738790750504, 0.003394526895135641, 0.029708808287978172, 0.07553404569625854, 0.005100738722831011, -0.006035809870809317, 0.018018238246440887, 0.015767330303788185, -0.10993120819330215, 0.07625290751457214, 0.060019005089998245, -0.016986507922410965, -0.02162683941423893, -0.06301827728748322, 0.005467378534376621, -0.025656605139374733, 0.005593653302639723, 0.029201524332165718, -0.036094676703214645, -0.0003792210773099214, 0.0371328629553318, 0.08181414753198624, -0.05720509588718414, -5.152025295274143e-8, -0.004855561535805464, -0.059026047587394714, 0.04694768041372299, 0.00742062134668231, -0.004021913278847933, -0.05753645673394203, 0.07398857176303864, -0.05044255778193474, -0.020080778747797012, 0.011888857930898666, 0.10193683207035065, -0.037017323076725006, 0.058913856744766235, 0.019300566986203194, -0.05521237105131149, 0.02313051000237465, -0.029744291678071022, 0.022212523967027664, -0.053500112146139145, -0.038255415856838226, -0.02158329077064991, 0.03205747902393341, -0.005583919584751129, 0.01709662936627865, 0.07816273719072342, -0.0033864974975585938, -0.014313539490103722, 0.019744081422686577, 0.0914478674530983, 0.11596424877643585, -0.02001727744936943, 0.04134340584278107, 0.02864818274974823, -0.08384621143341064, -0.006776606198400259, -0.006195798981934786, -0.01630152203142643, -0.06745535135269165, 0.011625302955508232, 0.03431691601872444, -0.0006386855384334922, 0.005155180115252733, -0.021038131788372993, -0.03680965676903725, 0.008725595660507679, -0.02388547547161579, -0.12385915964841843, -0.017867861315608025, 0.1371604949235916, -0.04891899600625038, -0.04166959971189499, -0.006849532015621662, 0.05617258697748184, 0.0413929708302021, 0.10001493245363235, -0.013744533993303776, -0.02433568425476551, -0.026782387867569923, 0.07425814867019653, -0.007043933495879173, -0.041345950216054916, -0.07027493417263031, -0.059427957981824875, 0.006350257433950901 ]
null
null
null
null
null
null
null
[ -0.07634510844945908, 0.1155695989727974, -0.018700288608670235, 0.04652512073516846, -0.035371486097574234, -0.017433876171708107, -0.0038130609318614006, 0.02246001921594143, 0.01720556989312172, 0.011792103759944439, -0.101075179874897, 0.0008024239214137197, 0.01442890614271164, 0.04306088015437126, 0.10819108039140701, -0.012542163953185081, 0.056823089718818665, -0.004765323828905821, 0.012231333181262016, 0.03024344891309738, 0.02422163262963295, -0.04967547208070755, -0.051380597054958344, -0.05754069983959198, 0.04130105301737785, -0.03672909364104271, -0.014895033091306686, -0.01161242090165615, 0.022191835567355156, -0.017590798437595367, -0.09337114542722702, -0.01486721821129322, -0.049124330282211304, 0.007917598821222782, 0.019694523885846138, 0.05537037178874016, -0.14008817076683044, -0.010937326587736607, -0.0005384167307056487, 0.09638415277004242, 0.002704502083361149, -0.04634792357683182, -0.07697020471096039, 0.020884031429886818, -0.06006881594657898, -0.007548805326223373, 0.014464897103607655, 0.03286933898925781, 0.010648999363183975, -0.0037475628778338432, 0.050238803029060364, -0.014032445847988129, 0.006977018900215626, 0.0065475148148834705, -0.042468372732400894, -0.011457235552370548, 0.04114732891321182, -0.06816631555557251, 0.053882092237472534, 0.02674207091331482, 0.010525786317884922, -0.08180740475654602, -0.04578794166445732, 0.01756684109568596, 0.00007382012699963525, -0.02697785757482052, -0.012200617231428623, 0.07681488990783691, -0.07479820400476456, -0.08902785927057266, -0.009044764563441277, -0.017853358760476112, -0.030035177245736122, -0.12322252243757248, 0.04817405715584755, -0.03867019712924957, 0.09970556199550629, -0.010809425264596939, 0.058712467551231384, -0.004180978983640671, -0.01643206924200058, -0.027415405958890915, -0.05229455232620239, -0.04407007619738579, -0.02942383848130703, -0.00021942502644378692, 0.06697510182857513, 0.021815896034240723, 0.11116988956928253, -0.011027852073311806, 0.012278839014470577, 0.03428998962044716, 0.03712238743901253, 0.0554460734128952, 0.0820389837026596, 0.09582863003015518, -0.01866043731570244, 0.007933396846055984, -0.013505815528333187, 0.05561217665672302, 0.06898380815982819, 0.09016644209623337, 0.07604926079511642, 0.028356056660413742, -0.014099995605647564, -0.1289026141166687, -0.0713667944073677, -0.005515363533049822, 0.046335965394973755, -0.09470710158348083, 0.003483894979581237, 0.006656656041741371, 0.0889066830277443, -0.04644373804330826, -0.06325889378786087, 0.01901698298752308, -0.008789814077317715, 0.015392460860311985, -0.010273654013872147, 0.005880371667444706, 0.00834681000560522, -0.017295299097895622, 0.06164129450917244, 0.03807692602276802, 0.06984519958496094, 0.11797252297401428, 0.0034414951223880053, -1.0097075866991046e-33, -0.08295761793851852, -0.05869459733366966, 0.0379059761762619, -0.10032502561807632, -0.018954889848828316, -0.014417463913559914, 0.015211967751383781, 0.00672929547727108, -0.046836577355861664, -0.034626759588718414, 0.075850710272789, 0.06009778752923012, -0.06056034564971924, 0.06496218591928482, 0.04209559038281441, -0.05535947531461716, 0.03702063485980034, 0.04849357530474663, 0.18207451701164246, -0.008111141622066498, -0.0011569707421585917, -0.011288480833172798, 0.05231794714927673, -0.020856397226452827, -0.0009938684524968266, -0.055697690695524216, 0.0015473574167117476, -0.021462060511112213, 0.06526801735162735, 0.016169806942343712, 0.029441721737384796, 0.04459283500909805, -0.027891339734196663, 0.02745557390153408, -0.07665789127349854, 0.017514929175376892, -0.0026927893050014973, -0.009662670083343983, -0.004955507814884186, 0.027701515704393387, -0.060483500361442566, 0.07231055200099945, -0.01017187349498272, -0.07477650791406631, -0.07279086112976074, -0.015534219332039356, 0.03034556657075882, -0.051979679614305496, -0.12051700800657272, 0.0315212719142437, -0.03956222161650658, 0.06096295267343521, -0.044190771877765656, -0.036954790353775024, -0.0167087409645319, -0.05694613233208656, -0.037335723638534546, -0.06792447715997696, -0.029176928102970123, 0.021016648039221764, -0.05418763682246208, -0.020893603563308716, 0.05198412761092186, 0.04799169301986694, -0.00254576513543725, 0.015664197504520416, -0.003922755364328623, -0.018208181485533714, -0.08366261422634125, 0.07220388203859329, 0.008024808019399643, -0.06457442790269852, -0.00802952703088522, -0.0070629059337079525, -0.001616286113858223, -0.039273738861083984, 0.04874162748456001, 0.0673510879278183, -0.0914011299610138, -0.023022038862109184, -0.05156037583947182, 0.03532349690794945, 0.03876160830259323, 0.01670006476342678, -0.022273896262049675, -0.08955704420804977, -0.025692397728562355, -0.031251225620508194, 0.025110408663749695, -0.07765036076307297, -0.14164917171001434, 0.037675097584724426, -0.021632052958011627, 0.04748167842626572, 0.07145388424396515, -9.70870263538394e-34, 0.026186054572463036, 0.01713472791016102, -0.10663829743862152, -0.018119605258107185, 0.052333395928144455, -0.011824813671410084, -0.03728638216853142, -0.07829491794109344, -0.05087845399975777, 0.034496307373046875, -0.08731519430875778, 0.07116095721721649, -0.0408567413687706, 0.0008206639322452247, -0.0794295072555542, -0.05246816202998161, 0.017259899526834488, 0.011513728648424149, -0.0226440392434597, -0.003526256186887622, 0.037998247891664505, 0.03610267862677574, -0.024882692843675613, 0.021199263632297516, 0.08086396753787994, 0.05364854261279106, -0.06827941536903381, 0.0789264366030693, -0.01952766254544258, -0.01851772516965866, -0.04564478248357773, 0.006021327804774046, 0.019629182294011116, -0.02895188517868519, -0.040845293551683426, 0.06938528269529343, 0.026528388261795044, 0.06400088220834732, 0.10111519694328308, 0.12948879599571228, 0.051223449409008026, -0.07741006463766098, 0.038497865200042725, 0.00037105768569745123, -0.010252292267978191, -0.02367582358419895, 0.058029625564813614, -0.009229635819792747, 0.04382536932826042, 0.038719628006219864, 0.006761722732335329, 0.05989960581064224, -0.04479905962944031, -0.03579704090952873, -0.04900524392724037, -0.0741042047739029, 0.025448670610785484, 0.0445355661213398, -0.020961357280611992, 0.026015715673565865, 0.003695534775033593, 0.03228795528411865, 0.03641033545136452, -0.0411682203412056, -0.021508295089006424, 0.04666009172797203, 0.02185974456369877, -0.10012324154376984, 0.10366653650999069, -0.05360041558742523, -0.02165484055876732, 0.012776341289281845, 0.024128738790750504, 0.003394526895135641, 0.029708808287978172, 0.07553404569625854, 0.005100738722831011, -0.006035809870809317, 0.018018238246440887, 0.015767330303788185, -0.10993120819330215, 0.07625290751457214, 0.060019005089998245, -0.016986507922410965, -0.02162683941423893, -0.06301827728748322, 0.005467378534376621, -0.025656605139374733, 0.005593653302639723, 0.029201524332165718, -0.036094676703214645, -0.0003792210773099214, 0.0371328629553318, 0.08181414753198624, -0.05720509588718414, -5.152025295274143e-8, -0.004855561535805464, -0.059026047587394714, 0.04694768041372299, 0.00742062134668231, -0.004021913278847933, -0.05753645673394203, 0.07398857176303864, -0.05044255778193474, -0.020080778747797012, 0.011888857930898666, 0.10193683207035065, -0.037017323076725006, 0.058913856744766235, 0.019300566986203194, -0.05521237105131149, 0.02313051000237465, -0.029744291678071022, 0.022212523967027664, -0.053500112146139145, -0.038255415856838226, -0.02158329077064991, 0.03205747902393341, -0.005583919584751129, 0.01709662936627865, 0.07816273719072342, -0.0033864974975585938, -0.014313539490103722, 0.019744081422686577, 0.0914478674530983, 0.11596424877643585, -0.02001727744936943, 0.04134340584278107, 0.02864818274974823, -0.08384621143341064, -0.006776606198400259, -0.006195798981934786, -0.01630152203142643, -0.06745535135269165, 0.011625302955508232, 0.03431691601872444, -0.0006386855384334922, 0.005155180115252733, -0.021038131788372993, -0.03680965676903725, 0.008725595660507679, -0.02388547547161579, -0.12385915964841843, -0.017867861315608025, 0.1371604949235916, -0.04891899600625038, -0.04166959971189499, -0.006849532015621662, 0.05617258697748184, 0.0413929708302021, 0.10001493245363235, -0.013744533993303776, -0.02433568425476551, -0.026782387867569923, 0.07425814867019653, -0.007043933495879173, -0.041345950216054916, -0.07027493417263031, -0.059427957981824875, 0.006350257433950901 ]
1402.0368
Christopher Prohm
Christopher Prohm and Holger Stark
Feedback control of inertial microfluidics using axial control forces
null
null
null
null
physics.flu-dyn cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Inertial microfluidics is a promising tool for many lab-on-a-chip applications. Particles in channel flows with Reynolds numbers above one undergo cross-streamline migration to a discrete set of equilibrium positions in square and rectangular channel cross sections. This effect has been used extensively for particle sorting and the analysis of particle properties. Using the lattice Boltzmann method, we determine equilibrium positions in square and rectangular cross sections and classify their types of stability for different Reynolds numbers, particle sizes, and channel aspect ratios. Our findings thereby help to design microfluidic channels for particle sorting. Furthermore, we demonstrate how an axial control force, which slows down the particles, shifts the stable equilibrium position towards the channel center. Ultimately, the particles then stay on the centerline for forces exceeding a threshold value. This effect is sensitive to particle size and channel Reynolds number and therefore suggests an efficient method for particle separation. In combination with a hysteretic feedback scheme, we can even increase particle throughput.
[ { "created": "Mon, 3 Feb 2014 12:45:19 GMT", "version": "v1" } ]
2014-02-04
[ [ "Prohm", "Christopher", "" ], [ "Stark", "Holger", "" ] ]
[ 0.04134100303053856, -0.0773666724562645, 0.025416869670152664, -0.013065378181636333, 0.026209885254502296, -0.0362289659678936, -0.020227476954460144, 0.01615714654326439, 0.032593000680208206, -0.012143527157604694, -0.04484240338206291, 0.06691397726535797, -0.04139429330825806, 0.032236769795417786, -0.11651356518268585, -0.0068689449690282345, -0.009017269127070904, 0.05669824033975601, -0.036034516990184784, 0.011958036571741104, 0.009225895628333092, 0.0021190140396356583, -0.010457782074809074, 0.027239659801125526, -0.04285823926329613, -0.01789306104183197, 0.00851296354085207, 0.02083326317369938, -0.06380917131900787, -0.05352606996893883, 0.039323773235082626, 0.027205517515540123, -0.06439048796892166, -0.04136281833052635, 0.006348112598061562, -0.029111871495842934, -0.05858292803168297, -0.003857932286337018, -0.03369144722819328, 0.01603580079972744, -0.03075283206999302, -0.025740545243024826, 0.07912002503871918, 0.003017660928890109, 0.03794395551085472, 0.09689345210790634, 0.07090295851230621, -0.014730666764080524, 0.044267356395721436, 0.042076364159584045, -0.041236914694309235, -0.0045234402641654015, 0.017608610913157463, 0.07867708802223206, -0.044332653284072876, -0.050876252353191376, -0.005968439858406782, -0.04753644019365311, -0.011454508639872074, -0.04638608917593956, 0.012897120788693428, 0.017811158671975136, 0.06588500738143921, -0.008944645524024963, -0.055551927536726, -0.04675360769033432, 0.030910460278391838, 0.07953613251447678, 0.06945379823446274, -0.009350205771625042, 0.05701274797320366, 0.026689669117331505, -0.0464087575674057, 0.04201264679431915, 0.09303084015846252, 0.006098064593970776, -0.03253523260354996, -0.0059574199840426445, -0.016241256147623062, 0.04237937554717064, -0.017462320625782013, -0.04603705182671547, -0.034701164811849594, -0.04507623240351677, -0.05273445323109627, 0.06611957401037216, 0.03379667550325394, 0.036872200667858124, -0.013947544619441032, -0.03331834077835083, -0.07098034024238586, 0.0983320027589798, 0.05883843079209328, -0.009802617132663727, 0.03559774532914162, -0.11615880578756332, -0.006125734653323889, 0.0369424968957901, -0.017597338184714317, 0.0033722114749252796, -0.026288583874702454, -0.028867673128843307, 0.028019383549690247, 0.11268961429595947, 0.07088101655244827, -0.05316632613539696, 0.061091117560863495, 0.010592116974294186, 0.0812879353761673, 0.013869613409042358, 0.026809556409716606, 0.050651296973228455, -0.03137510269880295, 0.08843619376420975, 0.04346064105629921, 0.006776178255677223, 0.04598633199930191, -0.018023140728473663, 0.0006536073633469641, 0.007166353054344654, -0.01641429029405117, -0.00665254658088088, -0.12199008464813232, -0.014263655059039593, -0.02495383843779564, 0.1341695636510849, 0.002848342526704073, 1.3577131484375236e-33, -0.007516700774431229, -0.0023852111771702766, 0.0133904330432415, 0.013195748440921307, -0.006492814980447292, -0.029250625520944595, 0.03853073716163635, -0.07113172858953476, 0.0520717091858387, 0.013234036043286324, -0.037394579499959946, -0.02103220298886299, -0.040110133588314056, 0.04222501814365387, -0.05438464879989624, -0.11369749158620834, -0.037743862718343735, -0.06947148591279984, -0.004278427921235561, 0.03698088973760605, -0.020062144845724106, -0.07504349201917648, -0.022676140069961548, -0.03389953821897507, 0.02842601016163826, -0.027944842353463173, -0.0439896434545517, 0.008082082495093346, 0.04473678767681122, -0.005721734371036291, 0.0016414807178080082, -0.02938753552734852, 0.02674473263323307, 0.010018076747655869, 0.03062433935701847, 0.0031463804189115763, -0.05726563185453415, -0.02823619171977043, 0.034899838268756866, 0.021934079006314278, -0.0071915751323103905, -0.0030244868248701096, -0.045627038925886154, -0.07086746394634247, 0.023796601220965385, 0.012083052657544613, -0.06550560891628265, 0.04121939837932587, -0.030405523255467415, -0.08189776539802551, 0.011422956362366676, 0.03769883140921593, 0.10422547161579132, -0.03237555921077728, 0.1468324065208435, -0.10282042622566223, 0.018745210021734238, 0.032165806740522385, -0.028643349185585976, -0.000342507497407496, -0.059643328189849854, 0.04237088933587074, -0.01903351955115795, -0.012779053300619125, 0.011553256772458553, 0.05475056543946266, 0.004414960276335478, 0.10350779443979263, 0.01880834251642227, -0.02985156886279583, -0.0576469823718071, 0.022776789963245392, -0.06251303851604462, 0.0008983439183793962, -0.05825359746813774, 0.104308120906353, -0.032834492623806, -0.047107599675655365, 0.024474821984767914, -0.031365878880023956, 0.03313590586185455, 0.020830679684877396, -0.02880248613655567, 0.025150984525680542, -0.030543329194188118, 0.007765030022710562, 0.02675858698785305, -0.023005438968539238, -0.02799203246831894, -0.09887438267469406, 0.03226836770772934, -0.0011312392307445407, 0.16834400594234467, 0.042313430458307266, 0.002716132439672947, -1.972257278779096e-33, -0.082206591963768, 0.0009286947315558791, -0.004438737872987986, 0.07896348834037781, -0.006926758214831352, 0.031536590307950974, 0.049927886575460434, -0.047854240983724594, 0.07607368379831314, -0.04985986277461052, -0.06328719109296799, 0.03956473991274834, -0.06172939017415047, 0.041864510625600815, 0.12405186891555786, 0.031360600143671036, -0.05442105606198311, -0.09925060719251633, 0.08522606641054153, -0.035712968558073044, 0.005895995534956455, 0.03705759719014168, 0.027543487027287483, -0.018605809658765793, -0.06697481125593185, -0.015005269087851048, 0.06207000091671944, -0.021595405414700508, 0.012967493385076523, 0.008192854933440685, -0.004043043125420809, -0.0440090037882328, 0.12045802921056747, 0.006692484021186829, 0.0043581584468483925, -0.04067900776863098, 0.020708322525024414, 0.05385774001479149, 0.08076896518468857, -0.04542955383658409, -0.046801671385765076, -0.01074038352817297, -0.06351058185100555, -0.014606650918722153, -0.030063683167099953, 0.15806326270103455, 0.029114708304405212, 0.015460311435163021, -0.017531128600239754, 0.015149802900850773, -0.10103659331798553, 0.04059695824980736, -0.01761976070702076, -0.050883419811725616, 0.01924794726073742, 0.01988941617310047, 0.0819772481918335, 0.1099788174033165, 0.05738309398293495, -0.1421324908733368, -0.06648735702037811, -0.004353808239102364, 0.04239540919661522, -0.06434057652950287, -0.0511508584022522, 0.021295104175806046, 0.019539931789040565, 0.01812184974551201, -0.03780704364180565, -0.01918918266892433, -0.0031586408149451017, 0.026339532807469368, 0.13403913378715515, -0.006709786131978035, -0.008293586783111095, 0.00030695265741087496, 0.08344625681638718, -0.005009890533983707, 0.012852792628109455, 0.03793271631002426, -0.04427217319607735, 0.11596101522445679, -0.012964547611773014, -0.028554152697324753, 0.08874745666980743, -0.04540940374135971, -0.04626406356692314, -0.02055404894053936, -0.018634764477610588, 0.017911424860358238, 0.10312923789024353, -0.02286832593381405, 0.15042433142662048, -0.06688420474529266, -0.029603203758597374, -4.454439306300628e-8, 0.08380579203367233, -0.019091222435235977, 0.0018356599612161517, -0.01909756287932396, -0.043602246791124344, 0.04919147863984108, 0.02155572921037674, 0.09452110528945923, 0.045299313962459564, -0.027156440541148186, 0.05524473264813423, 0.05336238443851471, 0.012189983390271664, -0.04868710786104202, 0.1123659759759903, -0.004881277680397034, -0.04151641204953194, -0.055994756519794464, -0.021112727001309395, -0.0692739337682724, -0.02865290828049183, 0.023594744503498077, 0.012247305363416672, 0.03071632608771324, -0.032948125153779984, 0.010714860633015633, -0.023598337545990944, -0.04686259850859642, -0.02945759706199169, -0.04683724045753479, -0.03474805876612663, 0.04578065499663353, 0.043164584785699844, 0.04960693046450615, -0.0289363544434309, 0.025410287082195282, -0.038662828505039215, 0.1363825500011444, 0.028274940326809883, -0.049561187624931335, -0.024337057024240494, -0.020965490490198135, 0.00463748537003994, -0.08154977113008499, -0.014044193550944328, -0.01393499132245779, -0.05124157294631004, 0.03404942527413368, -0.026194186881184578, 0.08350297063589096, -0.05541098862886429, 0.01996411569416523, 0.051921624690294266, 0.03724599629640579, -0.01481412909924984, -0.003458718303591013, -0.13224494457244873, -0.060250699520111084, 0.026562701910734177, -0.1122313141822815, -0.05666038766503334, 0.017282336950302124, -0.04822254553437233, -0.030472876504063606 ]
null
null
null
null
null
null
null
[ 0.04134100303053856, -0.0773666724562645, 0.025416869670152664, -0.013065378181636333, 0.026209885254502296, -0.0362289659678936, -0.020227476954460144, 0.01615714654326439, 0.032593000680208206, -0.012143527157604694, -0.04484240338206291, 0.06691397726535797, -0.04139429330825806, 0.032236769795417786, -0.11651356518268585, -0.0068689449690282345, -0.009017269127070904, 0.05669824033975601, -0.036034516990184784, 0.011958036571741104, 0.009225895628333092, 0.0021190140396356583, -0.010457782074809074, 0.027239659801125526, -0.04285823926329613, -0.01789306104183197, 0.00851296354085207, 0.02083326317369938, -0.06380917131900787, -0.05352606996893883, 0.039323773235082626, 0.027205517515540123, -0.06439048796892166, -0.04136281833052635, 0.006348112598061562, -0.029111871495842934, -0.05858292803168297, -0.003857932286337018, -0.03369144722819328, 0.01603580079972744, -0.03075283206999302, -0.025740545243024826, 0.07912002503871918, 0.003017660928890109, 0.03794395551085472, 0.09689345210790634, 0.07090295851230621, -0.014730666764080524, 0.044267356395721436, 0.042076364159584045, -0.041236914694309235, -0.0045234402641654015, 0.017608610913157463, 0.07867708802223206, -0.044332653284072876, -0.050876252353191376, -0.005968439858406782, -0.04753644019365311, -0.011454508639872074, -0.04638608917593956, 0.012897120788693428, 0.017811158671975136, 0.06588500738143921, -0.008944645524024963, -0.055551927536726, -0.04675360769033432, 0.030910460278391838, 0.07953613251447678, 0.06945379823446274, -0.009350205771625042, 0.05701274797320366, 0.026689669117331505, -0.0464087575674057, 0.04201264679431915, 0.09303084015846252, 0.006098064593970776, -0.03253523260354996, -0.0059574199840426445, -0.016241256147623062, 0.04237937554717064, -0.017462320625782013, -0.04603705182671547, -0.034701164811849594, -0.04507623240351677, -0.05273445323109627, 0.06611957401037216, 0.03379667550325394, 0.036872200667858124, -0.013947544619441032, -0.03331834077835083, -0.07098034024238586, 0.0983320027589798, 0.05883843079209328, -0.009802617132663727, 0.03559774532914162, -0.11615880578756332, -0.006125734653323889, 0.0369424968957901, -0.017597338184714317, 0.0033722114749252796, -0.026288583874702454, -0.028867673128843307, 0.028019383549690247, 0.11268961429595947, 0.07088101655244827, -0.05316632613539696, 0.061091117560863495, 0.010592116974294186, 0.0812879353761673, 0.013869613409042358, 0.026809556409716606, 0.050651296973228455, -0.03137510269880295, 0.08843619376420975, 0.04346064105629921, 0.006776178255677223, 0.04598633199930191, -0.018023140728473663, 0.0006536073633469641, 0.007166353054344654, -0.01641429029405117, -0.00665254658088088, -0.12199008464813232, -0.014263655059039593, -0.02495383843779564, 0.1341695636510849, 0.002848342526704073, 1.3577131484375236e-33, -0.007516700774431229, -0.0023852111771702766, 0.0133904330432415, 0.013195748440921307, -0.006492814980447292, -0.029250625520944595, 0.03853073716163635, -0.07113172858953476, 0.0520717091858387, 0.013234036043286324, -0.037394579499959946, -0.02103220298886299, -0.040110133588314056, 0.04222501814365387, -0.05438464879989624, -0.11369749158620834, -0.037743862718343735, -0.06947148591279984, -0.004278427921235561, 0.03698088973760605, -0.020062144845724106, -0.07504349201917648, -0.022676140069961548, -0.03389953821897507, 0.02842601016163826, -0.027944842353463173, -0.0439896434545517, 0.008082082495093346, 0.04473678767681122, -0.005721734371036291, 0.0016414807178080082, -0.02938753552734852, 0.02674473263323307, 0.010018076747655869, 0.03062433935701847, 0.0031463804189115763, -0.05726563185453415, -0.02823619171977043, 0.034899838268756866, 0.021934079006314278, -0.0071915751323103905, -0.0030244868248701096, -0.045627038925886154, -0.07086746394634247, 0.023796601220965385, 0.012083052657544613, -0.06550560891628265, 0.04121939837932587, -0.030405523255467415, -0.08189776539802551, 0.011422956362366676, 0.03769883140921593, 0.10422547161579132, -0.03237555921077728, 0.1468324065208435, -0.10282042622566223, 0.018745210021734238, 0.032165806740522385, -0.028643349185585976, -0.000342507497407496, -0.059643328189849854, 0.04237088933587074, -0.01903351955115795, -0.012779053300619125, 0.011553256772458553, 0.05475056543946266, 0.004414960276335478, 0.10350779443979263, 0.01880834251642227, -0.02985156886279583, -0.0576469823718071, 0.022776789963245392, -0.06251303851604462, 0.0008983439183793962, -0.05825359746813774, 0.104308120906353, -0.032834492623806, -0.047107599675655365, 0.024474821984767914, -0.031365878880023956, 0.03313590586185455, 0.020830679684877396, -0.02880248613655567, 0.025150984525680542, -0.030543329194188118, 0.007765030022710562, 0.02675858698785305, -0.023005438968539238, -0.02799203246831894, -0.09887438267469406, 0.03226836770772934, -0.0011312392307445407, 0.16834400594234467, 0.042313430458307266, 0.002716132439672947, -1.972257278779096e-33, -0.082206591963768, 0.0009286947315558791, -0.004438737872987986, 0.07896348834037781, -0.006926758214831352, 0.031536590307950974, 0.049927886575460434, -0.047854240983724594, 0.07607368379831314, -0.04985986277461052, -0.06328719109296799, 0.03956473991274834, -0.06172939017415047, 0.041864510625600815, 0.12405186891555786, 0.031360600143671036, -0.05442105606198311, -0.09925060719251633, 0.08522606641054153, -0.035712968558073044, 0.005895995534956455, 0.03705759719014168, 0.027543487027287483, -0.018605809658765793, -0.06697481125593185, -0.015005269087851048, 0.06207000091671944, -0.021595405414700508, 0.012967493385076523, 0.008192854933440685, -0.004043043125420809, -0.0440090037882328, 0.12045802921056747, 0.006692484021186829, 0.0043581584468483925, -0.04067900776863098, 0.020708322525024414, 0.05385774001479149, 0.08076896518468857, -0.04542955383658409, -0.046801671385765076, -0.01074038352817297, -0.06351058185100555, -0.014606650918722153, -0.030063683167099953, 0.15806326270103455, 0.029114708304405212, 0.015460311435163021, -0.017531128600239754, 0.015149802900850773, -0.10103659331798553, 0.04059695824980736, -0.01761976070702076, -0.050883419811725616, 0.01924794726073742, 0.01988941617310047, 0.0819772481918335, 0.1099788174033165, 0.05738309398293495, -0.1421324908733368, -0.06648735702037811, -0.004353808239102364, 0.04239540919661522, -0.06434057652950287, -0.0511508584022522, 0.021295104175806046, 0.019539931789040565, 0.01812184974551201, -0.03780704364180565, -0.01918918266892433, -0.0031586408149451017, 0.026339532807469368, 0.13403913378715515, -0.006709786131978035, -0.008293586783111095, 0.00030695265741087496, 0.08344625681638718, -0.005009890533983707, 0.012852792628109455, 0.03793271631002426, -0.04427217319607735, 0.11596101522445679, -0.012964547611773014, -0.028554152697324753, 0.08874745666980743, -0.04540940374135971, -0.04626406356692314, -0.02055404894053936, -0.018634764477610588, 0.017911424860358238, 0.10312923789024353, -0.02286832593381405, 0.15042433142662048, -0.06688420474529266, -0.029603203758597374, -4.454439306300628e-8, 0.08380579203367233, -0.019091222435235977, 0.0018356599612161517, -0.01909756287932396, -0.043602246791124344, 0.04919147863984108, 0.02155572921037674, 0.09452110528945923, 0.045299313962459564, -0.027156440541148186, 0.05524473264813423, 0.05336238443851471, 0.012189983390271664, -0.04868710786104202, 0.1123659759759903, -0.004881277680397034, -0.04151641204953194, -0.055994756519794464, -0.021112727001309395, -0.0692739337682724, -0.02865290828049183, 0.023594744503498077, 0.012247305363416672, 0.03071632608771324, -0.032948125153779984, 0.010714860633015633, -0.023598337545990944, -0.04686259850859642, -0.02945759706199169, -0.04683724045753479, -0.03474805876612663, 0.04578065499663353, 0.043164584785699844, 0.04960693046450615, -0.0289363544434309, 0.025410287082195282, -0.038662828505039215, 0.1363825500011444, 0.028274940326809883, -0.049561187624931335, -0.024337057024240494, -0.020965490490198135, 0.00463748537003994, -0.08154977113008499, -0.014044193550944328, -0.01393499132245779, -0.05124157294631004, 0.03404942527413368, -0.026194186881184578, 0.08350297063589096, -0.05541098862886429, 0.01996411569416523, 0.051921624690294266, 0.03724599629640579, -0.01481412909924984, -0.003458718303591013, -0.13224494457244873, -0.060250699520111084, 0.026562701910734177, -0.1122313141822815, -0.05666038766503334, 0.017282336950302124, -0.04822254553437233, -0.030472876504063606 ]
1402.0371
Yongxiang Huang
Y.X. Huang
Detrended Structure-Function in Fully Developed Turbulence
11 pages with 5 figures, accepted by Journal of Turbulence
null
10.1080/14685248.2014.891739
null
physics.flu-dyn physics.data-an
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The classical structure-function (SF) method in fully developed turbulence or for scaling processes in general is influenced by large-scale energetic structures, known as infrared effect. Therefore, the extracted scaling exponents $\zeta(n)$ might be biased due to this effect. In this paper, a detrended structure-function (DSF) method is proposed to extract scaling exponents by constraining the influence of large-scale structures. This is accomplished by removing a $1$st-order polynomial fitting within a window size $\ell$ before calculating the velocity increment. By doing so, the scales larger than $\ell$, i.e., $r\ge \ell$, are expected to be removed or constrained. The detrending process is equivalent to be a high-pass filter in physical domain. Meanwhile the intermittency nature is retained. We first validate the DSF method by using a synthesized fractional Brownian motion for mono-fractal processes and a lognormal process for multifractal random walk processes. The numerical results show comparable scaling exponents $\zeta(n)$ and singularity spectra $D(h)$ for the original SFs and DSFs. When applying the DSF to a turbulent velocity obtained from a high Reynolds number wind tunnel experiment with $Re_{\lambda}\simeq 720$, the 3rd-order DSF demonstrates a clear inertial range with $\mathcal{B}_3(\ell)\simeq 4/5\epsilon \ell$ on the range $10<\ell/\eta<1000$, corresponding to a wavenumber range $0.001<k\eta<0.1$. This inertial range is consistent with the one predicted by the Fourier power spectrum. The directly measured scaling exponents $\zeta(n)$ (resp. singularity spectrum $D(h)$) agree very well with a lognormal model with an intermittent parameter $\mu=0.33$. Due to large-scale effects, the results provided by the SFs are biased.
[ { "created": "Mon, 3 Feb 2014 12:48:15 GMT", "version": "v1" } ]
2015-06-18
[ [ "Huang", "Y. X.", "" ] ]
[ -0.03535189479589462, -0.02515312284231186, 0.032848212867975235, 0.05432379990816116, 0.06545362621545792, -0.0824127197265625, -0.00963176041841507, -0.04397612065076828, 0.09250522404909134, -0.026005882769823074, -0.01574026606976986, -0.021076032891869545, -0.08940618485212326, -0.02020089700818062, -0.005031574051827192, -0.03905835375189781, -0.029404187574982643, 0.1001799926161766, -0.06297775357961655, 0.07183333486318588, 0.07574418932199478, 0.0031858831644058228, -0.06709326803684235, 0.02350769378244877, 0.09963380545377731, -0.06398919969797134, -0.021555516868829727, 0.039572667330503464, 0.06648299843072891, -0.06575529277324677, 0.09712465852499008, -0.012898793444037437, 0.004249803721904755, -0.00738754915073514, -0.0072607663460075855, 0.013503127731382847, 0.04651547595858574, 0.01792052574455738, -0.08403830975294113, 0.04335338994860649, -0.00011135706881759688, 0.04193172976374626, -0.0017059034435078502, 0.017185965552926064, 0.0018900983268395066, 0.005208144895732403, -0.027822064235806465, -0.05236335098743439, -0.03544466197490692, -0.007664029020816088, 0.05250737816095352, 0.0870552808046341, -0.02442636713385582, 0.07539243251085281, -0.02712959796190262, -0.02095576375722885, 0.02817748673260212, -0.07476045936346054, 0.04307559132575989, -0.08060460537672043, -0.01272677257657051, 0.012173517607152462, -0.0396665558218956, -0.0036824471317231655, 0.0027007674798369408, 0.07015817612409592, 0.05199697986245155, -0.051736019551754, 0.055016569793224335, 0.0440874882042408, -0.11079097539186478, -0.009083847515285015, -0.003569488413631916, 0.010169941000640392, 0.013592464849352837, -0.017716512084007263, -0.044937409460544586, -0.056206997483968735, -0.0656023845076561, 0.03479527309536934, 0.10240169614553452, 0.011238869279623032, 0.0331168957054615, -0.10086071491241455, 0.04029606655240059, 0.09398329257965088, 0.014801130630075932, 0.03768649324774742, 0.08278664201498032, 0.015841815620660782, -0.03577101603150368, 0.08144406229257584, -0.1087602749466896, -0.037463486194610596, 0.03856134042143822, -0.0483839325606823, -0.04335709288716316, 0.037191230803728104, 0.1260286420583725, 0.017433181405067444, 0.029484320431947708, 0.0005402198294177651, 0.02445961907505989, 0.04009362682700157, -0.02280452474951744, 0.01510867290198803, 0.0030634161084890366, 0.04812631383538246, 0.003684914205223322, -0.02693440392613411, 0.029230579733848572, 0.05039716884493828, -0.03756585344672203, 0.03315477818250656, 0.01030557882040739, -0.020052138715982437, -0.034824058413505554, -0.02383067086338997, -0.029829036444425583, -0.04276173189282417, 0.021494505926966667, 0.039454758167266846, -0.037703514099121094, 0.05526034161448479, 0.014597398228943348, -0.01811588741838932, -0.018611881881952286, -3.7476031825836314e-34, 0.01126487273722887, 0.07467657327651978, -0.039742156863212585, -0.04501038044691086, 0.08190516382455826, 0.041088301688432693, 0.031031329184770584, -0.024702003225684166, -0.055537037551403046, 0.06191455200314522, -0.10581384599208832, 0.08630622923374176, -0.01815141923725605, -0.08151973783969879, 0.013337510637938976, -0.04760318249464035, 0.08293215185403824, -0.0002463234995957464, -0.014273096807301044, -0.040173597633838654, 0.09411679953336716, 0.00015629739209543914, -0.0006425955798476934, 0.016536541283130646, -0.0026312635745853186, -0.01955852285027504, -0.03935367986559868, 0.09926112741231918, -0.03300328925251961, 0.040424518287181854, -0.07659462094306946, -0.024935096502304077, -0.09136712551116943, 0.0032298134174197912, 0.08445276319980621, -0.04329318553209305, -0.00836582388728857, 0.029582694172859192, 0.018014930188655853, -0.05286107957363129, -0.05889597907662392, 0.016801830381155014, -0.06228290870785713, 0.00884596724063158, -0.08695999532938004, -0.04663904011249542, 0.10777720808982849, 0.06770806014537811, -0.04658085107803345, -0.13098418712615967, 0.007404564879834652, -0.028359483927488327, -0.002319790655747056, -0.040705740451812744, 0.024340804666280746, -0.014105424284934998, 0.06560563296079636, 0.004542694892734289, -0.008742543868720531, 0.08224108070135117, -0.04745395481586456, 0.019777782261371613, -0.027045948430895805, 0.0388018861413002, 0.06427330523729324, 0.006866821087896824, -0.013803708367049694, 0.04599203169345856, 0.04241303354501724, -0.05403192341327667, 0.06183036044239998, 0.05023541674017906, -0.00586669659242034, 0.02097311243414879, 0.03058425337076187, 0.0012118644081056118, 0.024331720545887947, -0.0495171844959259, 0.01815708726644516, 0.05740385130047798, -0.10549819469451904, -0.010847623459994793, 0.0330231636762619, -0.027354225516319275, -0.0629451647400856, -0.07003062218427658, -0.02774994820356369, -0.023218603804707527, -0.12669607996940613, -0.07479310780763626, -0.04924037680029869, -0.019243765622377396, 0.11310527473688126, -0.044405922293663025, -0.041044242680072784, -2.3245858128281602e-33, 0.01909470371901989, 0.01477156113833189, 0.059549495577812195, 0.030561931431293488, -0.02551381289958954, 0.06632859259843826, 0.016232149675488472, 0.0278217364102602, 0.0703541561961174, -0.07594987004995346, -0.000770453829318285, -0.002656269120052457, -0.07011125981807709, -0.010918745771050453, 0.11232612282037735, -0.026867324486374855, 0.018724605441093445, -0.02926957979798317, -0.06841154396533966, -0.06172114983201027, -0.055807292461395264, 0.03135059401392937, 0.0039023577701300383, 0.004740483593195677, -0.03208049759268761, -0.008360384963452816, -0.0012279435759410262, -0.04424222558736801, -0.01919524371623993, 0.011892865411937237, -0.11369457095861435, 0.03212114796042442, 0.02033236250281334, 0.038942087441682816, 0.03599454462528229, 0.1009514331817627, 0.010592296719551086, 0.07127351313829422, 0.020744748413562775, 0.0010737223783507943, -0.018682964146137238, 0.036830026656389236, -0.005711880978196859, -0.07061713933944702, 0.07140710204839706, 0.02162528596818447, -0.05743588134646416, -0.02132934331893921, -0.01000884361565113, -0.024514131247997284, -0.02166176773607731, 0.037599384784698486, -0.0340629518032074, 0.1216537207365036, -0.047854308038949966, 0.08131058514118195, -0.002097624121233821, -0.05074763298034668, 0.025530138984322548, -0.04228266701102257, 0.010501488111913204, -0.060273945331573486, 0.0049746278673410416, -0.0083399573341012, -0.036489106714725494, -0.06310512870550156, -0.019663158804178238, -0.08711810410022736, -0.03239015117287636, 0.01078507024794817, 0.017375972121953964, -0.019695455208420753, 0.005679725203663111, 0.0878906324505806, -0.13061465322971344, -0.13631582260131836, 0.07332479953765869, -0.011218970641493797, -0.002901866566389799, 0.05028223246335983, 0.047508206218481064, 0.05937135964632034, 0.0051977369002997875, -0.033199429512023926, -0.02291645109653473, -0.05059405043721199, 0.07327347248792648, -0.04548068717122078, 0.038583770394325256, -0.056695517152547836, 0.04023183509707451, -0.00700852507725358, 0.03787508234381676, 0.057464536279439926, 0.06170627102255821, -5.415335735392546e-8, 0.010091514326632023, -0.06816845387220383, -0.021665332838892937, -0.0022283317521214485, 0.03201911225914955, 0.08221554756164551, -0.016503168269991875, -0.021207598969340324, -0.0030815736390650272, -0.051607895642519, 0.04636003077030182, -0.010026161558926105, 0.024860508739948273, -0.0076628178358078, -0.0033409211318939924, -0.07479356229305267, 0.04950828105211258, -0.027298221364617348, -0.01977378875017166, -0.042414940893650055, 0.03089471161365509, 0.06250584870576859, -0.058490220457315445, -0.01831013523042202, 0.009292056784033775, -0.04951852932572365, -0.11599192023277283, -0.040986884385347366, 0.020701875910162926, -0.011322570033371449, -0.0097921472042799, 0.05645144358277321, 0.01048278994858265, 0.10314489901065826, -0.03734526038169861, 0.035897888243198395, 0.004586352035403252, 0.13048864901065826, -0.04507111385464668, 0.0011346432147547603, 0.04047190397977829, 0.042521171271800995, -0.03446728363633156, 0.012397040612995625, -0.029816394671797752, 0.0666162297129631, -0.06526189297437668, -0.008152147755026817, -0.024067960679531097, 0.13075169920921326, 0.08086752146482468, 0.07801027595996857, -0.021285826340317726, 0.038413189351558685, -0.01855926401913166, -0.03554322198033333, -0.0847402885556221, -0.05591891333460808, -0.08390941470861435, -0.06311602890491486, 0.035783302038908005, -0.025225304067134857, -0.08727361261844635, -0.05007056146860123 ]
null
null
null
null
null
null
null
[ -0.03535189479589462, -0.02515312284231186, 0.032848212867975235, 0.05432379990816116, 0.06545362621545792, -0.0824127197265625, -0.00963176041841507, -0.04397612065076828, 0.09250522404909134, -0.026005882769823074, -0.01574026606976986, -0.021076032891869545, -0.08940618485212326, -0.02020089700818062, -0.005031574051827192, -0.03905835375189781, -0.029404187574982643, 0.1001799926161766, -0.06297775357961655, 0.07183333486318588, 0.07574418932199478, 0.0031858831644058228, -0.06709326803684235, 0.02350769378244877, 0.09963380545377731, -0.06398919969797134, -0.021555516868829727, 0.039572667330503464, 0.06648299843072891, -0.06575529277324677, 0.09712465852499008, -0.012898793444037437, 0.004249803721904755, -0.00738754915073514, -0.0072607663460075855, 0.013503127731382847, 0.04651547595858574, 0.01792052574455738, -0.08403830975294113, 0.04335338994860649, -0.00011135706881759688, 0.04193172976374626, -0.0017059034435078502, 0.017185965552926064, 0.0018900983268395066, 0.005208144895732403, -0.027822064235806465, -0.05236335098743439, -0.03544466197490692, -0.007664029020816088, 0.05250737816095352, 0.0870552808046341, -0.02442636713385582, 0.07539243251085281, -0.02712959796190262, -0.02095576375722885, 0.02817748673260212, -0.07476045936346054, 0.04307559132575989, -0.08060460537672043, -0.01272677257657051, 0.012173517607152462, -0.0396665558218956, -0.0036824471317231655, 0.0027007674798369408, 0.07015817612409592, 0.05199697986245155, -0.051736019551754, 0.055016569793224335, 0.0440874882042408, -0.11079097539186478, -0.009083847515285015, -0.003569488413631916, 0.010169941000640392, 0.013592464849352837, -0.017716512084007263, -0.044937409460544586, -0.056206997483968735, -0.0656023845076561, 0.03479527309536934, 0.10240169614553452, 0.011238869279623032, 0.0331168957054615, -0.10086071491241455, 0.04029606655240059, 0.09398329257965088, 0.014801130630075932, 0.03768649324774742, 0.08278664201498032, 0.015841815620660782, -0.03577101603150368, 0.08144406229257584, -0.1087602749466896, -0.037463486194610596, 0.03856134042143822, -0.0483839325606823, -0.04335709288716316, 0.037191230803728104, 0.1260286420583725, 0.017433181405067444, 0.029484320431947708, 0.0005402198294177651, 0.02445961907505989, 0.04009362682700157, -0.02280452474951744, 0.01510867290198803, 0.0030634161084890366, 0.04812631383538246, 0.003684914205223322, -0.02693440392613411, 0.029230579733848572, 0.05039716884493828, -0.03756585344672203, 0.03315477818250656, 0.01030557882040739, -0.020052138715982437, -0.034824058413505554, -0.02383067086338997, -0.029829036444425583, -0.04276173189282417, 0.021494505926966667, 0.039454758167266846, -0.037703514099121094, 0.05526034161448479, 0.014597398228943348, -0.01811588741838932, -0.018611881881952286, -3.7476031825836314e-34, 0.01126487273722887, 0.07467657327651978, -0.039742156863212585, -0.04501038044691086, 0.08190516382455826, 0.041088301688432693, 0.031031329184770584, -0.024702003225684166, -0.055537037551403046, 0.06191455200314522, -0.10581384599208832, 0.08630622923374176, -0.01815141923725605, -0.08151973783969879, 0.013337510637938976, -0.04760318249464035, 0.08293215185403824, -0.0002463234995957464, -0.014273096807301044, -0.040173597633838654, 0.09411679953336716, 0.00015629739209543914, -0.0006425955798476934, 0.016536541283130646, -0.0026312635745853186, -0.01955852285027504, -0.03935367986559868, 0.09926112741231918, -0.03300328925251961, 0.040424518287181854, -0.07659462094306946, -0.024935096502304077, -0.09136712551116943, 0.0032298134174197912, 0.08445276319980621, -0.04329318553209305, -0.00836582388728857, 0.029582694172859192, 0.018014930188655853, -0.05286107957363129, -0.05889597907662392, 0.016801830381155014, -0.06228290870785713, 0.00884596724063158, -0.08695999532938004, -0.04663904011249542, 0.10777720808982849, 0.06770806014537811, -0.04658085107803345, -0.13098418712615967, 0.007404564879834652, -0.028359483927488327, -0.002319790655747056, -0.040705740451812744, 0.024340804666280746, -0.014105424284934998, 0.06560563296079636, 0.004542694892734289, -0.008742543868720531, 0.08224108070135117, -0.04745395481586456, 0.019777782261371613, -0.027045948430895805, 0.0388018861413002, 0.06427330523729324, 0.006866821087896824, -0.013803708367049694, 0.04599203169345856, 0.04241303354501724, -0.05403192341327667, 0.06183036044239998, 0.05023541674017906, -0.00586669659242034, 0.02097311243414879, 0.03058425337076187, 0.0012118644081056118, 0.024331720545887947, -0.0495171844959259, 0.01815708726644516, 0.05740385130047798, -0.10549819469451904, -0.010847623459994793, 0.0330231636762619, -0.027354225516319275, -0.0629451647400856, -0.07003062218427658, -0.02774994820356369, -0.023218603804707527, -0.12669607996940613, -0.07479310780763626, -0.04924037680029869, -0.019243765622377396, 0.11310527473688126, -0.044405922293663025, -0.041044242680072784, -2.3245858128281602e-33, 0.01909470371901989, 0.01477156113833189, 0.059549495577812195, 0.030561931431293488, -0.02551381289958954, 0.06632859259843826, 0.016232149675488472, 0.0278217364102602, 0.0703541561961174, -0.07594987004995346, -0.000770453829318285, -0.002656269120052457, -0.07011125981807709, -0.010918745771050453, 0.11232612282037735, -0.026867324486374855, 0.018724605441093445, -0.02926957979798317, -0.06841154396533966, -0.06172114983201027, -0.055807292461395264, 0.03135059401392937, 0.0039023577701300383, 0.004740483593195677, -0.03208049759268761, -0.008360384963452816, -0.0012279435759410262, -0.04424222558736801, -0.01919524371623993, 0.011892865411937237, -0.11369457095861435, 0.03212114796042442, 0.02033236250281334, 0.038942087441682816, 0.03599454462528229, 0.1009514331817627, 0.010592296719551086, 0.07127351313829422, 0.020744748413562775, 0.0010737223783507943, -0.018682964146137238, 0.036830026656389236, -0.005711880978196859, -0.07061713933944702, 0.07140710204839706, 0.02162528596818447, -0.05743588134646416, -0.02132934331893921, -0.01000884361565113, -0.024514131247997284, -0.02166176773607731, 0.037599384784698486, -0.0340629518032074, 0.1216537207365036, -0.047854308038949966, 0.08131058514118195, -0.002097624121233821, -0.05074763298034668, 0.025530138984322548, -0.04228266701102257, 0.010501488111913204, -0.060273945331573486, 0.0049746278673410416, -0.0083399573341012, -0.036489106714725494, -0.06310512870550156, -0.019663158804178238, -0.08711810410022736, -0.03239015117287636, 0.01078507024794817, 0.017375972121953964, -0.019695455208420753, 0.005679725203663111, 0.0878906324505806, -0.13061465322971344, -0.13631582260131836, 0.07332479953765869, -0.011218970641493797, -0.002901866566389799, 0.05028223246335983, 0.047508206218481064, 0.05937135964632034, 0.0051977369002997875, -0.033199429512023926, -0.02291645109653473, -0.05059405043721199, 0.07327347248792648, -0.04548068717122078, 0.038583770394325256, -0.056695517152547836, 0.04023183509707451, -0.00700852507725358, 0.03787508234381676, 0.057464536279439926, 0.06170627102255821, -5.415335735392546e-8, 0.010091514326632023, -0.06816845387220383, -0.021665332838892937, -0.0022283317521214485, 0.03201911225914955, 0.08221554756164551, -0.016503168269991875, -0.021207598969340324, -0.0030815736390650272, -0.051607895642519, 0.04636003077030182, -0.010026161558926105, 0.024860508739948273, -0.0076628178358078, -0.0033409211318939924, -0.07479356229305267, 0.04950828105211258, -0.027298221364617348, -0.01977378875017166, -0.042414940893650055, 0.03089471161365509, 0.06250584870576859, -0.058490220457315445, -0.01831013523042202, 0.009292056784033775, -0.04951852932572365, -0.11599192023277283, -0.040986884385347366, 0.020701875910162926, -0.011322570033371449, -0.0097921472042799, 0.05645144358277321, 0.01048278994858265, 0.10314489901065826, -0.03734526038169861, 0.035897888243198395, 0.004586352035403252, 0.13048864901065826, -0.04507111385464668, 0.0011346432147547603, 0.04047190397977829, 0.042521171271800995, -0.03446728363633156, 0.012397040612995625, -0.029816394671797752, 0.0666162297129631, -0.06526189297437668, -0.008152147755026817, -0.024067960679531097, 0.13075169920921326, 0.08086752146482468, 0.07801027595996857, -0.021285826340317726, 0.038413189351558685, -0.01855926401913166, -0.03554322198033333, -0.0847402885556221, -0.05591891333460808, -0.08390941470861435, -0.06311602890491486, 0.035783302038908005, -0.025225304067134857, -0.08727361261844635, -0.05007056146860123 ]
1402.0375
Wojciech Slomczynski
Wojciech S{\l}omczy\'nski and Anna Szymusiak
Highly symmetric POVMs and their informational power
40 pages, 3 figures
null
null
null
quant-ph cs.IT math-ph math.IT math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We discuss the dependence of the Shannon entropy of normalized finite rank-1 POVMs on the choice of the input state, looking for the states that minimize this quantity. To distinguish the class of measurements where the problem can be solved analytically, we introduce the notion of highly symmetric POVMs and classify them in dimension two (for qubits). In this case we prove that the entropy is minimal, and hence the relative entropy (informational power) is maximal, if and only if the input state is orthogonal to one of the states constituting a POVM. The method used in the proof, employing the Michel theory of critical points for group action, the Hermite interpolation and the structure of invariant polynomials for unitary-antiunitary groups, can also be applied in higher dimensions and for other entropy-like functions. The links between entropy minimization and entropic uncertainty relations, the Wehrl entropy and the quantum dynamical entropy are described.
[ { "created": "Mon, 3 Feb 2014 13:11:02 GMT", "version": "v1" }, { "created": "Mon, 13 Jul 2015 22:46:02 GMT", "version": "v2" }, { "created": "Sun, 27 Sep 2015 19:41:10 GMT", "version": "v3" } ]
2015-09-29
[ [ "Słomczyński", "Wojciech", "" ], [ "Szymusiak", "Anna", "" ] ]
[ -0.04805352911353111, 0.035607416182756424, 0.0030968370847404003, 0.014271735213696957, -0.06502369791269302, 0.047440409660339355, 0.11030533909797668, -0.06487524509429932, 0.08145845681428909, -0.02651987224817276, 0.026182595640420914, -0.014383713714778423, 0.06351917237043381, 0.012145545333623886, -0.06705325096845627, -0.03222797438502312, -0.015259183011949062, 0.022632932290434837, -0.02626918815076351, 0.04096091166138649, 0.06118832528591156, -0.034872040152549744, 0.002820986555889249, 0.02213609218597412, -0.005051000975072384, -0.07878125458955765, -0.012417956255376339, 0.060036852955818176, 0.03001117892563343, -0.04443573206663132, 0.011202821508049965, -0.0008747223182581365, 0.06347833573818207, -0.02423395775258541, -0.05444417893886566, 0.01203590165823698, 0.08013441413640976, -0.009926848113536835, -0.005416166502982378, 0.0026015308685600758, 0.030022477731108665, 0.047796305269002914, -0.06646852195262909, 0.0883897989988327, -0.04343068227171898, 0.05660973861813545, 0.09532192349433899, -0.058895744383335114, -0.08129093796014786, -0.06818405538797379, 0.018952783197164536, 0.144588440656662, 0.03761446475982666, 0.0273115336894989, -0.007476396858692169, -0.07446815818548203, 0.006111952941864729, 0.020913679152727127, -0.06965126842260361, -0.09273675829172134, -0.013041379861533642, 0.031169330701231956, -0.013657277449965477, -0.03038737177848816, 0.01900530233979225, -0.002969766268506646, 0.12134644389152527, -0.03972162306308746, -0.08807110041379929, 0.03804096207022667, -0.08446583151817322, -0.07055163383483887, -0.044949717819690704, -0.03257516399025917, 0.04194129258394241, -0.024738900363445282, -0.06710854917764664, -0.0055172559805214405, -0.01748420111835003, -0.0056405626237392426, 0.056111808866262436, -0.027056479826569557, -0.005846134852617979, 0.04782900959253311, 0.09096919745206833, -0.006434802897274494, -0.056708924472332, -0.024492360651493073, 0.05489911139011383, -0.060175031423568726, -0.1066742017865181, -0.02196272648870945, -0.03361903876066208, 0.02397461235523224, 0.09681858122348785, -0.024616586044430733, -0.030067509040236473, 0.04292873293161392, 0.11071737110614777, 0.0612674243748188, 0.016370514407753944, -0.05770013853907585, -0.026051970198750496, 0.03551127761602402, 0.04809010773897171, 0.03378616273403168, -0.034142497926950455, -0.0034850446972995996, 0.06132619082927704, -0.015749497339129448, 0.013248932547867298, -0.014936970546841621, 0.0014114074874669313, 0.036601174622774124, 0.026633238419890404, -0.026056945323944092, 0.028127072378993034, 0.08642309159040451, 0.030082151293754578, -0.06556887179613113, -0.011629682965576649, 0.038755305111408234, 0.007895938120782375, 0.0650528073310852, 0.013266119174659252, 0.06988777220249176, 0.004424314480274916, 3.4473490941937427e-34, 0.02701721526682377, 0.0064541976898908615, 0.012512780725955963, -0.026162832975387573, 0.00569329084828496, 0.1346239596605301, 0.0114574134349823, -0.03645572066307068, -0.01575898751616478, 0.0353379026055336, -0.05836901441216469, 0.02863818034529686, 0.03096078708767891, -0.03547167405486107, 0.043280601501464844, 0.06536105275154114, -0.06833800673484802, -0.002369216876104474, 0.04258584603667259, -0.125886470079422, 0.020651159808039665, 0.026495739817619324, -0.06206342577934265, -0.03968861699104309, 0.04774750769138336, -0.010189352557063103, -0.005590906832367182, -0.020861662924289703, -0.06017381697893143, -0.029698312282562256, -0.07225207984447479, -0.0037615776527673006, 0.0042170449160039425, -0.12156154215335846, -0.008512183092534542, 0.013158359564840794, -0.021983329206705093, 0.08217451721429825, -0.05078558623790741, -0.07940510660409927, 0.05541480705142021, -0.011651938781142235, 0.057599026709795, -0.07198067009449005, -0.04784751310944557, 0.015134467743337154, 0.01956763304769993, 0.044062115252017975, -0.0521918460726738, -0.09463575482368469, -0.04945538938045502, -0.04060942679643631, -0.06970193982124329, -0.0008382087689824402, 0.027848221361637115, -0.041340649127960205, 0.10658445209264755, 0.06441950798034668, -0.005525370594114065, 0.05366283282637596, -0.10539896041154861, 0.025518929585814476, 0.05164416506886482, -0.09501464664936066, -0.029224220663309097, 0.00883683655411005, -0.04087267816066742, -0.03352165222167969, 0.09896372258663177, -0.03568198159337044, 0.016301274299621582, 0.05554542690515518, 0.05032460391521454, -0.053811121731996536, 0.08927000313997269, -0.00254813046194613, 0.026833413168787956, -0.06481516361236572, -0.054597560316324234, 0.03293382748961449, -0.06768381595611572, -0.10121111571788788, 0.03176017478108406, -0.004365404136478901, -0.047510042786598206, -0.09058336913585663, -0.08606011420488358, -0.02144237421452999, -0.10046228021383286, 0.036981645971536636, -0.06278014928102493, -0.006612762808799744, 0.022541593760252, 0.05211322009563446, -0.06148633733391762, -2.2051809333815554e-33, -0.046352922916412354, -0.009464629925787449, 0.03780136629939079, 0.026025891304016113, -0.04886629059910774, -0.007121801842004061, -0.021437909454107285, 0.05799378454685211, -0.05800947919487953, -0.03943377733230591, -0.011367454193532467, 0.006139976903796196, 0.05289340391755104, 0.046229247003793716, 0.022463301196694374, 0.16163843870162964, -0.041479386389255524, 0.044514041393995285, 0.052065636962652206, 0.012532196938991547, 0.014997079968452454, 0.10788249969482422, -0.012995632365345955, 0.15218517184257507, 0.0386035293340683, 0.0361982025206089, 0.06886598467826843, 0.037573255598545074, 0.018743889406323433, 0.026519671082496643, 0.00980702880769968, -0.16303732991218567, -0.05086826905608177, 0.02890489436686039, -0.08449386060237885, -0.008292842656373978, -0.01630370505154133, 0.02688698098063469, -0.0543525330722332, 0.07432365417480469, -0.01977022923529148, 0.014130229130387306, 0.002074855612590909, -0.030652839690446854, 0.07291505485773087, 0.009904918260872364, -0.006480637472122908, -0.007213085424154997, -0.09780646115541458, 0.0731111466884613, -0.016231639310717583, 0.04367944970726967, 0.0004144616541452706, 0.09058614075183868, -0.12048140913248062, 0.04359837993979454, -0.0939989686012268, 0.04592413827776909, 0.09669609367847443, 0.014841160736978054, 0.03321530669927597, 0.005928323604166508, 0.00543344346806407, 0.10719586163759232, -0.0664583295583725, -0.017817871645092964, 0.01600281149148941, 0.018481465056538582, 0.04057518392801285, -0.0324590727686882, -0.05825280398130417, -0.04054410755634308, -0.017985735088586807, -0.009652729146182537, 0.014201303943991661, 0.04388720169663429, 0.05675766244530678, -0.03390456736087799, -0.006252007558941841, 0.014982420951128006, -0.0405370257794857, 0.05423496663570404, -0.011738685891032219, 0.02954336442053318, -0.016821082681417465, 0.0638868436217308, 0.08559111505746841, 0.011943968944251537, 0.05311483144760132, -0.060813453048467636, 0.015378549695014954, 0.014616875909268856, 0.036468543112277985, -0.043100424110889435, -0.0023183701559901237, -4.954368293397238e-8, -0.04662102460861206, -0.10866139829158783, 0.028024151921272278, 0.02515154518187046, 0.06303944438695908, -0.031937308609485626, -0.019439557567238808, 0.02789567969739437, 0.009500070475041866, -0.014757760800421238, 0.05451250076293945, -0.02835538424551487, -0.0840039923787117, -0.0017213663086295128, 0.01762394979596138, 0.01102503016591072, -0.0362059623003006, 0.013174263760447502, 0.023399343714118004, -0.034442830830812454, 0.00008633029938209802, -0.0164511539041996, -0.06754272431135178, 0.039538417011499405, -0.0185847245156765, -0.03496303781867027, -0.021252479404211044, -0.04997394606471062, -0.003871786640956998, 0.05382934585213661, -0.021314507350325584, 0.044362008571624756, 0.06558617204427719, 0.09811895340681076, -0.06299486011266708, -0.010253391228616238, -0.017555614933371544, 0.034837786108255386, -0.07001562416553497, -0.01700953021645546, -0.038802891969680786, -0.01639774814248085, 0.0035913093015551567, -0.0007271571666933596, 0.04091956466436386, 0.03799469396471977, -0.004072791896760464, -0.03765082731842995, 0.07449574768543243, 0.05096868798136711, 0.0779367983341217, 0.04011983051896095, -0.014476129785180092, 0.02549668215215206, -0.0398564413189888, 0.021714162081480026, -0.03730679675936699, -0.010791088454425335, 0.04493575170636177, -0.036315228790044785, 0.011588369496166706, 0.026117054745554924, -0.04821288585662842, 0.007100073155015707 ]
null
null
null
null
null
null
null
[ -0.04805352911353111, 0.035607416182756424, 0.0030968370847404003, 0.014271735213696957, -0.06502369791269302, 0.047440409660339355, 0.11030533909797668, -0.06487524509429932, 0.08145845681428909, -0.02651987224817276, 0.026182595640420914, -0.014383713714778423, 0.06351917237043381, 0.012145545333623886, -0.06705325096845627, -0.03222797438502312, -0.015259183011949062, 0.022632932290434837, -0.02626918815076351, 0.04096091166138649, 0.06118832528591156, -0.034872040152549744, 0.002820986555889249, 0.02213609218597412, -0.005051000975072384, -0.07878125458955765, -0.012417956255376339, 0.060036852955818176, 0.03001117892563343, -0.04443573206663132, 0.011202821508049965, -0.0008747223182581365, 0.06347833573818207, -0.02423395775258541, -0.05444417893886566, 0.01203590165823698, 0.08013441413640976, -0.009926848113536835, -0.005416166502982378, 0.0026015308685600758, 0.030022477731108665, 0.047796305269002914, -0.06646852195262909, 0.0883897989988327, -0.04343068227171898, 0.05660973861813545, 0.09532192349433899, -0.058895744383335114, -0.08129093796014786, -0.06818405538797379, 0.018952783197164536, 0.144588440656662, 0.03761446475982666, 0.0273115336894989, -0.007476396858692169, -0.07446815818548203, 0.006111952941864729, 0.020913679152727127, -0.06965126842260361, -0.09273675829172134, -0.013041379861533642, 0.031169330701231956, -0.013657277449965477, -0.03038737177848816, 0.01900530233979225, -0.002969766268506646, 0.12134644389152527, -0.03972162306308746, -0.08807110041379929, 0.03804096207022667, -0.08446583151817322, -0.07055163383483887, -0.044949717819690704, -0.03257516399025917, 0.04194129258394241, -0.024738900363445282, -0.06710854917764664, -0.0055172559805214405, -0.01748420111835003, -0.0056405626237392426, 0.056111808866262436, -0.027056479826569557, -0.005846134852617979, 0.04782900959253311, 0.09096919745206833, -0.006434802897274494, -0.056708924472332, -0.024492360651493073, 0.05489911139011383, -0.060175031423568726, -0.1066742017865181, -0.02196272648870945, -0.03361903876066208, 0.02397461235523224, 0.09681858122348785, -0.024616586044430733, -0.030067509040236473, 0.04292873293161392, 0.11071737110614777, 0.0612674243748188, 0.016370514407753944, -0.05770013853907585, -0.026051970198750496, 0.03551127761602402, 0.04809010773897171, 0.03378616273403168, -0.034142497926950455, -0.0034850446972995996, 0.06132619082927704, -0.015749497339129448, 0.013248932547867298, -0.014936970546841621, 0.0014114074874669313, 0.036601174622774124, 0.026633238419890404, -0.026056945323944092, 0.028127072378993034, 0.08642309159040451, 0.030082151293754578, -0.06556887179613113, -0.011629682965576649, 0.038755305111408234, 0.007895938120782375, 0.0650528073310852, 0.013266119174659252, 0.06988777220249176, 0.004424314480274916, 3.4473490941937427e-34, 0.02701721526682377, 0.0064541976898908615, 0.012512780725955963, -0.026162832975387573, 0.00569329084828496, 0.1346239596605301, 0.0114574134349823, -0.03645572066307068, -0.01575898751616478, 0.0353379026055336, -0.05836901441216469, 0.02863818034529686, 0.03096078708767891, -0.03547167405486107, 0.043280601501464844, 0.06536105275154114, -0.06833800673484802, -0.002369216876104474, 0.04258584603667259, -0.125886470079422, 0.020651159808039665, 0.026495739817619324, -0.06206342577934265, -0.03968861699104309, 0.04774750769138336, -0.010189352557063103, -0.005590906832367182, -0.020861662924289703, -0.06017381697893143, -0.029698312282562256, -0.07225207984447479, -0.0037615776527673006, 0.0042170449160039425, -0.12156154215335846, -0.008512183092534542, 0.013158359564840794, -0.021983329206705093, 0.08217451721429825, -0.05078558623790741, -0.07940510660409927, 0.05541480705142021, -0.011651938781142235, 0.057599026709795, -0.07198067009449005, -0.04784751310944557, 0.015134467743337154, 0.01956763304769993, 0.044062115252017975, -0.0521918460726738, -0.09463575482368469, -0.04945538938045502, -0.04060942679643631, -0.06970193982124329, -0.0008382087689824402, 0.027848221361637115, -0.041340649127960205, 0.10658445209264755, 0.06441950798034668, -0.005525370594114065, 0.05366283282637596, -0.10539896041154861, 0.025518929585814476, 0.05164416506886482, -0.09501464664936066, -0.029224220663309097, 0.00883683655411005, -0.04087267816066742, -0.03352165222167969, 0.09896372258663177, -0.03568198159337044, 0.016301274299621582, 0.05554542690515518, 0.05032460391521454, -0.053811121731996536, 0.08927000313997269, -0.00254813046194613, 0.026833413168787956, -0.06481516361236572, -0.054597560316324234, 0.03293382748961449, -0.06768381595611572, -0.10121111571788788, 0.03176017478108406, -0.004365404136478901, -0.047510042786598206, -0.09058336913585663, -0.08606011420488358, -0.02144237421452999, -0.10046228021383286, 0.036981645971536636, -0.06278014928102493, -0.006612762808799744, 0.022541593760252, 0.05211322009563446, -0.06148633733391762, -2.2051809333815554e-33, -0.046352922916412354, -0.009464629925787449, 0.03780136629939079, 0.026025891304016113, -0.04886629059910774, -0.007121801842004061, -0.021437909454107285, 0.05799378454685211, -0.05800947919487953, -0.03943377733230591, -0.011367454193532467, 0.006139976903796196, 0.05289340391755104, 0.046229247003793716, 0.022463301196694374, 0.16163843870162964, -0.041479386389255524, 0.044514041393995285, 0.052065636962652206, 0.012532196938991547, 0.014997079968452454, 0.10788249969482422, -0.012995632365345955, 0.15218517184257507, 0.0386035293340683, 0.0361982025206089, 0.06886598467826843, 0.037573255598545074, 0.018743889406323433, 0.026519671082496643, 0.00980702880769968, -0.16303732991218567, -0.05086826905608177, 0.02890489436686039, -0.08449386060237885, -0.008292842656373978, -0.01630370505154133, 0.02688698098063469, -0.0543525330722332, 0.07432365417480469, -0.01977022923529148, 0.014130229130387306, 0.002074855612590909, -0.030652839690446854, 0.07291505485773087, 0.009904918260872364, -0.006480637472122908, -0.007213085424154997, -0.09780646115541458, 0.0731111466884613, -0.016231639310717583, 0.04367944970726967, 0.0004144616541452706, 0.09058614075183868, -0.12048140913248062, 0.04359837993979454, -0.0939989686012268, 0.04592413827776909, 0.09669609367847443, 0.014841160736978054, 0.03321530669927597, 0.005928323604166508, 0.00543344346806407, 0.10719586163759232, -0.0664583295583725, -0.017817871645092964, 0.01600281149148941, 0.018481465056538582, 0.04057518392801285, -0.0324590727686882, -0.05825280398130417, -0.04054410755634308, -0.017985735088586807, -0.009652729146182537, 0.014201303943991661, 0.04388720169663429, 0.05675766244530678, -0.03390456736087799, -0.006252007558941841, 0.014982420951128006, -0.0405370257794857, 0.05423496663570404, -0.011738685891032219, 0.02954336442053318, -0.016821082681417465, 0.0638868436217308, 0.08559111505746841, 0.011943968944251537, 0.05311483144760132, -0.060813453048467636, 0.015378549695014954, 0.014616875909268856, 0.036468543112277985, -0.043100424110889435, -0.0023183701559901237, -4.954368293397238e-8, -0.04662102460861206, -0.10866139829158783, 0.028024151921272278, 0.02515154518187046, 0.06303944438695908, -0.031937308609485626, -0.019439557567238808, 0.02789567969739437, 0.009500070475041866, -0.014757760800421238, 0.05451250076293945, -0.02835538424551487, -0.0840039923787117, -0.0017213663086295128, 0.01762394979596138, 0.01102503016591072, -0.0362059623003006, 0.013174263760447502, 0.023399343714118004, -0.034442830830812454, 0.00008633029938209802, -0.0164511539041996, -0.06754272431135178, 0.039538417011499405, -0.0185847245156765, -0.03496303781867027, -0.021252479404211044, -0.04997394606471062, -0.003871786640956998, 0.05382934585213661, -0.021314507350325584, 0.044362008571624756, 0.06558617204427719, 0.09811895340681076, -0.06299486011266708, -0.010253391228616238, -0.017555614933371544, 0.034837786108255386, -0.07001562416553497, -0.01700953021645546, -0.038802891969680786, -0.01639774814248085, 0.0035913093015551567, -0.0007271571666933596, 0.04091956466436386, 0.03799469396471977, -0.004072791896760464, -0.03765082731842995, 0.07449574768543243, 0.05096868798136711, 0.0779367983341217, 0.04011983051896095, -0.014476129785180092, 0.02549668215215206, -0.0398564413189888, 0.021714162081480026, -0.03730679675936699, -0.010791088454425335, 0.04493575170636177, -0.036315228790044785, 0.011588369496166706, 0.026117054745554924, -0.04821288585662842, 0.007100073155015707 ]
1402.0381
Felipe Herrera
Felipe Herrera, Yudong Cao, Sabre Kais and K. Birgitta Whaley
Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
18 pages, 4 figures
New J. Phys. 16, 075001 (2014)
10.1088/1367-2630/16/7/075001
null
quant-ph physics.atom-ph physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Implementing a scalable quantum information processor using polar molecules in optical lattices requires precise control over the long-range dipole-dipole interaction between molecules in selected lattice sites. We present here a scheme using trapped open-shell $^2\Sigma$ polar molecules that allows dipolar exchange processes between nearest and next-nearest neighbors to be controlled to construct a generalized transverse Ising spin Hamiltonian with tunable $XX$, $YY$ and $XY$ couplings in the rotating frame of the driving lasers. The scheme requires a moderately strong bias magnetic field with near-infrared light to provide local tuning of the qubit energy gap, and mid-infrared pulses to perform rotational state transfer via stimulated Raman adiabatic passage. No interaction between qubits is present in the absence of the infrared driving. We analyze the fidelity of the resulting two-qubit matchgate, and demonstrate its robustness as a function of the driving parameters. We discuss a realistic application of the system for universal matchgate quantum computing in optical lattices.
[ { "created": "Mon, 3 Feb 2014 13:43:56 GMT", "version": "v1" } ]
2014-07-08
[ [ "Herrera", "Felipe", "" ], [ "Cao", "Yudong", "" ], [ "Kais", "Sabre", "" ], [ "Whaley", "K. Birgitta", "" ] ]
[ 0.020413396880030632, -0.0507613942027092, -0.07117848843336105, 0.006684693042188883, -0.05714358761906624, -0.003044891869649291, -0.006989254616200924, -0.024426119402050972, 0.011428170837461948, 0.002181311836466193, -0.09203634411096573, 0.0670374184846878, -0.022842248901724815, -0.0015916717238724232, 0.0757242888212204, 0.0795176699757576, 0.03888477385044098, -0.001009036903269589, -0.004152662120759487, 0.01190172415226698, 0.02649722434580326, -0.06342459470033646, -0.009534653276205063, -0.025790387764573097, -0.057834427803754807, 0.021228259429335594, 0.0307437926530838, -0.039343807846307755, -0.005305944941937923, 0.012477239593863487, 0.022020863369107246, -0.001017521251924336, -0.11278727650642395, 0.006597260478883982, -0.0430346243083477, -0.04015569016337395, 0.06678669154644012, -0.00972086563706398, -0.02852668985724449, -0.09544970095157623, 0.11256685107946396, 0.03242539241909981, 0.014438807964324951, 0.028914744034409523, -0.04007108137011528, 0.01751759648323059, 0.055910512804985046, 0.046950943768024445, 0.014269462786614895, -0.1558571308851242, -0.08660008013248444, 0.056072913110256195, 0.004874373320490122, 0.027981169521808624, -0.03627365827560425, 0.09666169434785843, 0.04404109716415405, -0.08466090261936188, -0.04210502281785011, -0.07156745344400406, -0.032187823206186295, -0.028440603986382484, -0.026975488290190697, -0.002284030895680189, 0.00987324956804514, -0.01317689660936594, 0.017053768038749695, -0.00968316663056612, 0.018194951117038727, 0.03821107745170593, -0.031857360154390335, 0.0018245774554088712, -0.029982835054397583, 0.044680748134851456, 0.046699244529008865, -0.05451962351799011, 0.024336308240890503, 0.07466840744018555, -0.006371339317411184, -0.039106279611587524, -0.004375931806862354, -0.05487744137644768, 0.06391867995262146, 0.05074167251586914, 0.10072166472673416, -0.0101261455565691, -0.016908537596464157, 0.07208272069692612, 0.020833833143115044, -0.07183943688869476, -0.08499479293823242, -0.08808531612157822, 0.041542086750268936, -0.10381316393613815, -0.0020453815814107656, -0.010372307151556015, 0.11368467658758163, -0.025425514206290245, -0.034100934863090515, 0.0017371296416968107, 0.10005218535661697, -0.013328315690159798, -0.04689262434840202, -0.008032879792153835, -0.12579648196697235, 0.001948104822076857, 0.06040368974208832, 0.07349524646997452, -0.05377119034528732, -0.010391409508883953, 0.013112845830619335, -0.011687303893268108, 0.03101198375225067, -0.02821943536400795, -0.06158260256052017, 0.048714082688093185, -0.022628623992204666, 0.04349484294652939, -0.022908620536327362, 0.09870953112840652, -0.12039680033922195, 0.09374667704105377, 0.007923832163214684, 0.017527403309941292, -0.025414731353521347, -0.013583953492343426, -0.10177181661128998, -3.2820929555673607e-34, 0.052976977080106735, 0.09983471781015396, 0.01605238765478134, 0.02891664393246174, 0.002847883850336075, 0.015522444620728493, 0.0073986053466796875, -0.026568753644824028, -0.05683530122041702, 0.04826924949884415, 0.03880186006426811, 0.05633716657757759, 0.024392951279878616, -0.05476740747690201, 0.060234520584344864, -0.02712792344391346, -0.050852321088314056, 0.01662266254425049, 0.016398780047893524, -0.0011607999913394451, -0.01187230460345745, 0.010493384674191475, -0.015368090942502022, 0.09957997500896454, -0.0648123174905777, 0.010198974050581455, 0.023287270218133926, 0.02137001045048237, 0.01799161173403263, 0.0043940250761806965, -0.031554628163576126, 0.05369805917143822, -0.04646582901477814, -0.014418365433812141, 0.10551858693361282, -0.05272894352674484, -0.025912804529070854, -0.04146687686443329, 0.08889781683683395, -0.029821176081895828, 0.02690773829817772, -0.031173260882496834, 0.035912271589040756, 0.006495785433799028, -0.08775227516889572, -0.04981901869177818, 0.06757991760969162, 0.00024029296764638275, -0.015406516380608082, 0.014508902095258236, 0.03484040126204491, -0.03392062708735466, -0.0006281599635258317, -0.006042961962521076, 0.06405666470527649, -0.0905788317322731, 0.08788162469863892, 0.051580414175987244, 0.022359319031238556, 0.03897335007786751, 0.013157984241843224, -0.041070252656936646, 0.023918531835079193, -0.025631645694375038, -0.04570334777235985, 0.06126066669821739, -0.005405625328421593, -0.015942292287945747, -0.028461618348956108, 0.10024118423461914, -0.021646734327077866, 0.06121526658535004, 0.03845871612429619, 0.022766422480344772, 0.10756975412368774, 0.02335416153073311, 0.06076459586620331, -0.0658881887793541, 0.04777964949607849, -0.01393956784158945, -0.0006506696809083223, -0.07212292402982712, -0.06389682739973068, 0.01096439454704523, -0.07960045337677002, -0.07938694208860397, -0.03719507157802582, -0.05620817467570305, -0.12110088020563126, 0.01751892827451229, -0.035170167684555054, -0.04021533206105232, 0.035803187638521194, 0.02269154228270054, -0.06626684963703156, -5.38339999902381e-34, 0.020526118576526642, -0.06809543073177338, 0.05672134831547737, 0.03815928474068642, 0.028516842052340508, -0.019773971289396286, 0.08989986032247543, -0.05600138008594513, 0.05567934364080429, -0.034548308700323105, 0.00040884074405767024, -0.017844311892986298, 0.10494446754455566, 0.09198437631130219, -0.044712431728839874, 0.01854468323290348, 0.04321565106511116, -0.06432275474071503, 0.08462252467870712, -0.043453149497509, -0.03250027820467949, 0.04445589706301689, 0.03408118337392807, 0.06899096816778183, -0.038427699357271194, 0.055562056601047516, 0.08990973979234695, 0.05151557922363281, 0.004424161743372679, 0.02321341447532177, 0.032393310219049454, 0.001181759755127132, -0.04113040119409561, -0.0322609581053257, -0.0850793719291687, 0.11955608427524567, 0.02990471012890339, -0.01713469810783863, -0.08235248923301697, -0.05914131551980972, 0.048558879643678665, -0.058493729680776596, -0.030610593035817146, 0.04843812435865402, 0.05187492072582245, 0.01575874350965023, -0.0797877088189125, 0.019534822553396225, -0.0741494819521904, -0.06016828492283821, -0.043889325112104416, 0.03390175476670265, 0.02817525342106819, 0.06393787264823914, -0.035547561943531036, -0.02911061979830265, -0.0028199837543070316, 0.07914824783802032, 0.07000231742858887, 0.03879260644316673, -0.013424801640212536, 0.04510290175676346, 0.0006819122354499996, -0.017432646825909615, -0.02031470462679863, -0.04577042907476425, 0.040209732949733734, -0.06036710366606712, 0.07413312792778015, -0.01219878252595663, -0.03464410826563835, -0.036961477249860764, 0.05380736663937569, 0.018086226657032967, 0.03514295071363449, 0.056974153965711594, 0.1079971045255661, -0.08382771164178848, 0.007043422665446997, 0.048388004302978516, 0.004441605880856514, 0.0442965067923069, -0.024649348109960556, -0.07003851234912872, 0.040921296924352646, 0.00044897550833411515, 0.010899694636464119, 0.022948838770389557, -0.050296854227781296, -0.07303550839424133, 0.041593849658966064, 0.030341295525431633, 0.04185112938284874, -0.06778023391962051, 0.06673933565616608, -4.4349441452595784e-8, 0.04171052947640419, -0.010122163221240044, 0.06596702337265015, 0.069154754281044, -0.053209397941827774, -0.0038344459608197212, 0.054571762681007385, -0.04716365411877632, -0.03796130418777466, -0.021722424775362015, 0.028982914984226227, -0.07708572596311569, 0.02128983661532402, -0.004673205781728029, 0.07686194777488708, 0.051282014697790146, 0.03135529160499573, -0.05932195484638214, -0.037667449563741684, -0.01644045300781727, 0.007961023598909378, 0.004134004004299641, 0.0730525329709053, -0.00025753676891326904, -0.026787079870700836, -0.03808066248893738, -0.057784873992204666, -0.05689525231719017, -0.0183242354542017, -0.0057920669205486774, 0.016899507492780685, -0.026136847212910652, 0.0947682335972786, 0.07160742580890656, -0.11564362794160843, -0.06464803963899612, -0.03726022318005562, 0.03733178228139877, 0.04651559889316559, -0.03706672042608261, -0.0038964140694588423, 0.08098260313272476, -0.13634537160396576, 0.033757925033569336, -0.061175353825092316, 0.04775805026292801, -0.026974773034453392, 0.09717608988285065, -0.0030202216003090143, 0.03670889139175415, 0.026580149307847023, 0.014068580232560635, 0.016268549486994743, -0.006930093746632338, -0.050593867897987366, -0.050141070038080215, -0.06487078964710236, -0.008860084228217602, 0.02820126712322235, 0.05470328405499458, 0.029321223497390747, -0.03926382213830948, -0.04278900846838951, 0.005766263697296381 ]
null
null
null
null
null
null
null
[ 0.020413396880030632, -0.0507613942027092, -0.07117848843336105, 0.006684693042188883, -0.05714358761906624, -0.003044891869649291, -0.006989254616200924, -0.024426119402050972, 0.011428170837461948, 0.002181311836466193, -0.09203634411096573, 0.0670374184846878, -0.022842248901724815, -0.0015916717238724232, 0.0757242888212204, 0.0795176699757576, 0.03888477385044098, -0.001009036903269589, -0.004152662120759487, 0.01190172415226698, 0.02649722434580326, -0.06342459470033646, -0.009534653276205063, -0.025790387764573097, -0.057834427803754807, 0.021228259429335594, 0.0307437926530838, -0.039343807846307755, -0.005305944941937923, 0.012477239593863487, 0.022020863369107246, -0.001017521251924336, -0.11278727650642395, 0.006597260478883982, -0.0430346243083477, -0.04015569016337395, 0.06678669154644012, -0.00972086563706398, -0.02852668985724449, -0.09544970095157623, 0.11256685107946396, 0.03242539241909981, 0.014438807964324951, 0.028914744034409523, -0.04007108137011528, 0.01751759648323059, 0.055910512804985046, 0.046950943768024445, 0.014269462786614895, -0.1558571308851242, -0.08660008013248444, 0.056072913110256195, 0.004874373320490122, 0.027981169521808624, -0.03627365827560425, 0.09666169434785843, 0.04404109716415405, -0.08466090261936188, -0.04210502281785011, -0.07156745344400406, -0.032187823206186295, -0.028440603986382484, -0.026975488290190697, -0.002284030895680189, 0.00987324956804514, -0.01317689660936594, 0.017053768038749695, -0.00968316663056612, 0.018194951117038727, 0.03821107745170593, -0.031857360154390335, 0.0018245774554088712, -0.029982835054397583, 0.044680748134851456, 0.046699244529008865, -0.05451962351799011, 0.024336308240890503, 0.07466840744018555, -0.006371339317411184, -0.039106279611587524, -0.004375931806862354, -0.05487744137644768, 0.06391867995262146, 0.05074167251586914, 0.10072166472673416, -0.0101261455565691, -0.016908537596464157, 0.07208272069692612, 0.020833833143115044, -0.07183943688869476, -0.08499479293823242, -0.08808531612157822, 0.041542086750268936, -0.10381316393613815, -0.0020453815814107656, -0.010372307151556015, 0.11368467658758163, -0.025425514206290245, -0.034100934863090515, 0.0017371296416968107, 0.10005218535661697, -0.013328315690159798, -0.04689262434840202, -0.008032879792153835, -0.12579648196697235, 0.001948104822076857, 0.06040368974208832, 0.07349524646997452, -0.05377119034528732, -0.010391409508883953, 0.013112845830619335, -0.011687303893268108, 0.03101198375225067, -0.02821943536400795, -0.06158260256052017, 0.048714082688093185, -0.022628623992204666, 0.04349484294652939, -0.022908620536327362, 0.09870953112840652, -0.12039680033922195, 0.09374667704105377, 0.007923832163214684, 0.017527403309941292, -0.025414731353521347, -0.013583953492343426, -0.10177181661128998, -3.2820929555673607e-34, 0.052976977080106735, 0.09983471781015396, 0.01605238765478134, 0.02891664393246174, 0.002847883850336075, 0.015522444620728493, 0.0073986053466796875, -0.026568753644824028, -0.05683530122041702, 0.04826924949884415, 0.03880186006426811, 0.05633716657757759, 0.024392951279878616, -0.05476740747690201, 0.060234520584344864, -0.02712792344391346, -0.050852321088314056, 0.01662266254425049, 0.016398780047893524, -0.0011607999913394451, -0.01187230460345745, 0.010493384674191475, -0.015368090942502022, 0.09957997500896454, -0.0648123174905777, 0.010198974050581455, 0.023287270218133926, 0.02137001045048237, 0.01799161173403263, 0.0043940250761806965, -0.031554628163576126, 0.05369805917143822, -0.04646582901477814, -0.014418365433812141, 0.10551858693361282, -0.05272894352674484, -0.025912804529070854, -0.04146687686443329, 0.08889781683683395, -0.029821176081895828, 0.02690773829817772, -0.031173260882496834, 0.035912271589040756, 0.006495785433799028, -0.08775227516889572, -0.04981901869177818, 0.06757991760969162, 0.00024029296764638275, -0.015406516380608082, 0.014508902095258236, 0.03484040126204491, -0.03392062708735466, -0.0006281599635258317, -0.006042961962521076, 0.06405666470527649, -0.0905788317322731, 0.08788162469863892, 0.051580414175987244, 0.022359319031238556, 0.03897335007786751, 0.013157984241843224, -0.041070252656936646, 0.023918531835079193, -0.025631645694375038, -0.04570334777235985, 0.06126066669821739, -0.005405625328421593, -0.015942292287945747, -0.028461618348956108, 0.10024118423461914, -0.021646734327077866, 0.06121526658535004, 0.03845871612429619, 0.022766422480344772, 0.10756975412368774, 0.02335416153073311, 0.06076459586620331, -0.0658881887793541, 0.04777964949607849, -0.01393956784158945, -0.0006506696809083223, -0.07212292402982712, -0.06389682739973068, 0.01096439454704523, -0.07960045337677002, -0.07938694208860397, -0.03719507157802582, -0.05620817467570305, -0.12110088020563126, 0.01751892827451229, -0.035170167684555054, -0.04021533206105232, 0.035803187638521194, 0.02269154228270054, -0.06626684963703156, -5.38339999902381e-34, 0.020526118576526642, -0.06809543073177338, 0.05672134831547737, 0.03815928474068642, 0.028516842052340508, -0.019773971289396286, 0.08989986032247543, -0.05600138008594513, 0.05567934364080429, -0.034548308700323105, 0.00040884074405767024, -0.017844311892986298, 0.10494446754455566, 0.09198437631130219, -0.044712431728839874, 0.01854468323290348, 0.04321565106511116, -0.06432275474071503, 0.08462252467870712, -0.043453149497509, -0.03250027820467949, 0.04445589706301689, 0.03408118337392807, 0.06899096816778183, -0.038427699357271194, 0.055562056601047516, 0.08990973979234695, 0.05151557922363281, 0.004424161743372679, 0.02321341447532177, 0.032393310219049454, 0.001181759755127132, -0.04113040119409561, -0.0322609581053257, -0.0850793719291687, 0.11955608427524567, 0.02990471012890339, -0.01713469810783863, -0.08235248923301697, -0.05914131551980972, 0.048558879643678665, -0.058493729680776596, -0.030610593035817146, 0.04843812435865402, 0.05187492072582245, 0.01575874350965023, -0.0797877088189125, 0.019534822553396225, -0.0741494819521904, -0.06016828492283821, -0.043889325112104416, 0.03390175476670265, 0.02817525342106819, 0.06393787264823914, -0.035547561943531036, -0.02911061979830265, -0.0028199837543070316, 0.07914824783802032, 0.07000231742858887, 0.03879260644316673, -0.013424801640212536, 0.04510290175676346, 0.0006819122354499996, -0.017432646825909615, -0.02031470462679863, -0.04577042907476425, 0.040209732949733734, -0.06036710366606712, 0.07413312792778015, -0.01219878252595663, -0.03464410826563835, -0.036961477249860764, 0.05380736663937569, 0.018086226657032967, 0.03514295071363449, 0.056974153965711594, 0.1079971045255661, -0.08382771164178848, 0.007043422665446997, 0.048388004302978516, 0.004441605880856514, 0.0442965067923069, -0.024649348109960556, -0.07003851234912872, 0.040921296924352646, 0.00044897550833411515, 0.010899694636464119, 0.022948838770389557, -0.050296854227781296, -0.07303550839424133, 0.041593849658966064, 0.030341295525431633, 0.04185112938284874, -0.06778023391962051, 0.06673933565616608, -4.4349441452595784e-8, 0.04171052947640419, -0.010122163221240044, 0.06596702337265015, 0.069154754281044, -0.053209397941827774, -0.0038344459608197212, 0.054571762681007385, -0.04716365411877632, -0.03796130418777466, -0.021722424775362015, 0.028982914984226227, -0.07708572596311569, 0.02128983661532402, -0.004673205781728029, 0.07686194777488708, 0.051282014697790146, 0.03135529160499573, -0.05932195484638214, -0.037667449563741684, -0.01644045300781727, 0.007961023598909378, 0.004134004004299641, 0.0730525329709053, -0.00025753676891326904, -0.026787079870700836, -0.03808066248893738, -0.057784873992204666, -0.05689525231719017, -0.0183242354542017, -0.0057920669205486774, 0.016899507492780685, -0.026136847212910652, 0.0947682335972786, 0.07160742580890656, -0.11564362794160843, -0.06464803963899612, -0.03726022318005562, 0.03733178228139877, 0.04651559889316559, -0.03706672042608261, -0.0038964140694588423, 0.08098260313272476, -0.13634537160396576, 0.033757925033569336, -0.061175353825092316, 0.04775805026292801, -0.026974773034453392, 0.09717608988285065, -0.0030202216003090143, 0.03670889139175415, 0.026580149307847023, 0.014068580232560635, 0.016268549486994743, -0.006930093746632338, -0.050593867897987366, -0.050141070038080215, -0.06487078964710236, -0.008860084228217602, 0.02820126712322235, 0.05470328405499458, 0.029321223497390747, -0.03926382213830948, -0.04278900846838951, 0.005766263697296381 ]
1402.0387
Vial Benjamin
Benjamin Vial and Guillaume Dem\'esy and Fr\'ed\'eric Zolla and Andr\'e Nicolet and Mireille Commandr\'e and Christophe Hecquet and Thomas Begou and St\'ephane Tisserand and Sophie Gautier and Vincent Sauget
Resonant metamaterial absorbers for infrared spectral filtering: quasimodal analysis, design, fabrication and characterization
8 pages, 7 figures
null
10.1364/JOSAB.31.001339
null
physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a modal analysis of metal-insulator-metal (MIM) based metamaterials in the far infrared region. These structures can be used as resonant reflection bandcut spectral filters that are independent of the polarization and direction of incidence because of the excitation of quasimodes (modes associated with a complex frequency) leading to quasi-total absorption. We fabricated large area samples made of chromium nanorod gratings on top of Si/Cr layers deposited on silicon substrate and measurements by Fourier Transform spectrophotometry show good agreement with finite element simulations. A quasimodal expansion method is developed to obtain a reduced order model that fits very well full wave simulations and that highlights excitation conditions of the modes.
[ { "created": "Mon, 3 Feb 2014 14:20:19 GMT", "version": "v1" } ]
2015-06-18
[ [ "Vial", "Benjamin", "" ], [ "Demésy", "Guillaume", "" ], [ "Zolla", "Frédéric", "" ], [ "Nicolet", "André", "" ], [ "Commandré", "Mireille", "" ], [ "Hecquet", "Christophe", "" ], [ "Begou", "Thomas", "" ], [ "Tisserand", "Stéphane", "" ], [ "Gautier", "Sophie", "" ], [ "Sauget", "Vincent", "" ] ]
[ 0.021400384604930878, 0.029633505269885063, 0.03810985013842583, 0.023673836141824722, 0.05302504822611809, -0.07201679050922394, 0.034704919904470444, 0.03816141188144684, -0.08332935720682144, -0.028557520359754562, 0.07689870893955231, -0.022503549233078957, 0.00820853840559721, -0.09133327752351761, 0.14919652044773102, -0.009109671227633953, 0.014522670768201351, -0.012756453827023506, 0.05389910563826561, 0.05352659896016121, 0.08262825757265091, -0.1092703640460968, -0.049415912479162216, -0.13988865911960602, -0.008739450946450233, 0.06467247754335403, -0.03006291389465332, 0.019160382449626923, 0.04092654585838318, -0.021205883473157883, -0.010232347063720226, 0.07045347988605499, -0.05185316875576973, 0.026798224076628685, 0.008760277181863785, -0.040995337069034576, 0.03685292974114418, -0.016475582495331764, -0.10689685493707657, -0.02262730523943901, 0.009914964437484741, 0.09211789071559906, -0.00537885120138526, 0.00492157181724906, -0.011250627227127552, -0.10008580982685089, 0.04557203873991966, -0.022711236029863358, -0.05941649526357651, 0.0183121170848608, -0.011344213038682938, 0.03384948521852493, 0.00040495264693163335, 0.11475373059511185, -0.04620121046900749, -0.016883382573723793, 0.014421558007597923, -0.050179023295640945, 0.06591711193323135, -0.06279288232326508, -0.017143024131655693, -0.05753988027572632, -0.024969104677438736, -0.06007665768265724, -0.009286696091294289, 0.04364144802093506, 0.005590663757175207, -0.0502752959728241, 0.02611060068011284, -0.04221023991703987, 0.0015912199160084128, -0.010363999754190445, -0.0697670504450798, -0.022962426766753197, 0.017782283946871758, 0.05868709459900856, 0.002560526365414262, 0.04668104648590088, -0.041324432939291, 0.015906985849142075, 0.009295377880334854, 0.016625387594103813, 0.06459255516529083, -0.03141568973660469, 0.03141084313392639, 0.04523300752043724, -0.06293799728155136, -0.04989183694124222, -0.0971793457865715, -0.019929736852645874, 0.011658255010843277, -0.010685866698622704, -0.08300711959600449, -0.024735793471336365, -0.03978511691093445, 0.01755118928849697, -0.0031089880503714085, -0.052600547671318054, 0.029113901779055595, 0.05398424342274666, 0.03062821365892887, 0.033996112644672394, -0.09609013050794601, 0.05240477994084358, -0.0007246875902637839, 0.0036056856624782085, 0.016568617895245552, 0.09638700634241104, -0.13577020168304443, -0.04946555942296982, 0.023420628160238266, 0.08994241058826447, 0.05557834357023239, -0.017363261431455612, 0.016339804977178574, -0.038410432636737823, 0.040830522775650024, 0.06427785009145737, 0.029970716685056686, -0.0049161529168486595, -0.0065057286992669106, 0.11619723588228226, -0.06565839052200317, 0.024643033742904663, 0.04417511820793152, 0.008771052584052086, -0.016781441867351532, 2.5967526116488524e-33, 0.024361491203308105, 0.06059260293841362, 0.0452495701611042, -0.03911890462040901, 0.01398494467139244, -0.08619560301303864, 0.07098858058452606, 0.0713484063744545, 0.024282535538077354, -0.013433213345706463, 0.04003755375742912, 0.06064750626683235, -0.011889521963894367, 0.006193423643708229, 0.04937855154275894, 0.014505505561828613, -0.020179474726319313, -0.019732216373085976, 0.002511938102543354, 0.008785810321569443, -0.024573935195803642, -0.05364794656634331, 0.10951657593250275, -0.010238036513328552, -0.026652555912733078, 0.02870127372443676, -0.0382254496216774, 0.06729384511709213, -0.030477626249194145, 0.006703891325742006, 0.005392292980104685, -0.006612055003643036, 0.1203249841928482, 0.05245986953377724, 0.13774704933166504, 0.02816941775381565, 0.05741724744439125, 0.04288327321410179, -0.0054228417575359344, 0.026505418121814728, -0.03762444108724594, 0.005352035164833069, -0.007093299180269241, 0.07319770753383636, -0.03488003835082054, -0.11096571385860443, -0.07019343972206116, -0.04934454336762428, 0.032191090285778046, -0.017108460888266563, -0.05438447371125221, -0.030527478083968163, -0.011115281842648983, 0.00003805537926382385, 0.01674480549991131, -0.013162359595298767, 0.042275670915842056, 0.03201007843017578, -0.0056259287521243095, -0.09829436987638474, 0.011457945220172405, -0.05279155448079109, 0.07625052332878113, 0.11863888800144196, 0.014884334057569504, -0.010201009921729565, -0.033369649201631546, 0.05369938910007477, 0.01929430477321148, 0.0059558069333434105, -0.011312057264149189, 0.060950588434934616, 0.056241631507873535, -0.009469849988818169, 0.06063254922628403, -0.01882113888859749, -0.018714802339673042, -0.16272839903831482, 0.0597667470574379, 0.06950635462999344, -0.002165804384276271, 0.08690492063760757, -0.025533990934491158, -0.07006323337554932, -0.021125435829162598, -0.027348456904292107, -0.047222379595041275, -0.037371762096881866, 0.03647925332188606, -0.11818928271532059, -0.03248240053653717, 0.007019064389169216, 0.03655899316072464, -0.02427181415259838, -0.06886199116706848, -3.6007654792312e-33, 0.01526875514537096, 0.06340090185403824, 0.11765404790639877, -0.09942013770341873, 0.04110095649957657, -0.028238579630851746, 0.02178008295595646, 0.0900094285607338, 0.0028129008132964373, 0.05332198366522789, 0.0785716325044632, 0.02484571561217308, 0.01465841569006443, 0.02658873237669468, -0.022691156715154648, 0.002432560781016946, 0.08673591911792755, -0.08663447201251984, 0.023717280477285385, -0.055753324180841446, -0.04090267792344093, -0.04831665754318237, 0.06173872575163841, 0.10328826308250427, -0.08223778754472733, 0.0016653296770527959, -0.06228135526180267, -0.04223715513944626, 0.01272204052656889, -0.035321373492479324, 0.034922871738672256, 0.006200108211487532, 0.07256491482257843, -0.018274839967489243, 0.07704517990350723, 0.04592761769890785, -0.013792875222861767, 0.08672252297401428, 0.02681785076856613, -0.03986334800720215, -0.014639335684478283, -0.012967054732143879, -0.006040876265615225, -0.04364196956157684, -0.017195316031575203, 0.006178253795951605, 0.0057920911349356174, -0.037577830255031586, -0.02047736383974552, -0.06335409730672836, -0.008565133437514305, 0.007077433634549379, -0.06057186797261238, -0.013026807457208633, -0.004306553862988949, -0.030952811241149902, -0.038484860211610794, -0.01705351285636425, 0.049212902784347534, 0.08656191825866699, 0.013308594934642315, -0.029053378850221634, 0.048259437084198, -0.09983987361192703, 0.03274379298090935, 0.07337182760238647, 0.08089425414800644, -0.008841276168823242, 0.07288286089897156, -0.005136348772794008, -0.009476400911808014, 0.04642847925424576, -0.04374411702156067, 0.015754031017422676, 0.021399974822998047, -0.015482460148632526, 0.05780208110809326, 0.006166344508528709, -0.06883794814348221, 0.055742211639881134, 0.05427240952849388, 0.016802089288830757, -0.06181244179606438, 0.0010156175121665, -0.0037585566751658916, -0.024363428354263306, -0.08037521690130234, 0.02716921642422676, -0.019608084112405777, 0.014812660403549671, 0.023593720048666, -0.014421243220567703, 0.0634126290678978, -0.012713644653558731, 0.08672542124986649, -4.643174378315962e-8, 0.0218670517206192, -0.03932810574769974, -0.011686308309435844, 0.0006244716932997108, -0.0393417552113533, -0.012729495763778687, -0.025377465412020683, -0.1827796846628189, -0.015169203281402588, -0.11230597645044327, 0.05086694285273552, -0.03571269288659096, -0.009277721866965294, -0.03525128215551376, 0.03323134407401085, -0.026189204305410385, 0.04134528338909149, 0.005489574745297432, -0.00256417621858418, 0.010158238932490349, -0.06882470101118088, 0.0021844098810106516, 0.06103750318288803, -0.05726628750562668, 0.028318185359239578, -0.007489188574254513, -0.09111682325601578, -0.03759484365582466, 0.005222235340625048, 0.08084512501955032, -0.01160020288079977, -0.0021193616557866335, -0.046507250517606735, 0.11494859308004379, -0.044670525938272476, -0.040698565542697906, 0.03488961607217789, -0.02246217243373394, -0.06472119688987732, -0.1186513751745224, 0.030415678396821022, 0.02224389649927616, -0.03393825516104698, 0.01256171427667141, -0.0059122382663190365, -0.00013017264427617192, 0.032376520335674286, -0.00032641919096931815, -0.00887660589069128, 0.019932946190238, -0.033229440450668335, -0.09365242719650269, -0.019105464220046997, 0.006333020981401205, -0.04204776510596275, -0.023343868553638458, -0.046988774091005325, -0.033162232488393784, -0.02039160579442978, -0.06598953902721405, 0.04670989140868187, -0.04335610941052437, -0.05390910431742668, 0.06602687388658524 ]
null
null
null
null
null
null
null
[ 0.021400384604930878, 0.029633505269885063, 0.03810985013842583, 0.023673836141824722, 0.05302504822611809, -0.07201679050922394, 0.034704919904470444, 0.03816141188144684, -0.08332935720682144, -0.028557520359754562, 0.07689870893955231, -0.022503549233078957, 0.00820853840559721, -0.09133327752351761, 0.14919652044773102, -0.009109671227633953, 0.014522670768201351, -0.012756453827023506, 0.05389910563826561, 0.05352659896016121, 0.08262825757265091, -0.1092703640460968, -0.049415912479162216, -0.13988865911960602, -0.008739450946450233, 0.06467247754335403, -0.03006291389465332, 0.019160382449626923, 0.04092654585838318, -0.021205883473157883, -0.010232347063720226, 0.07045347988605499, -0.05185316875576973, 0.026798224076628685, 0.008760277181863785, -0.040995337069034576, 0.03685292974114418, -0.016475582495331764, -0.10689685493707657, -0.02262730523943901, 0.009914964437484741, 0.09211789071559906, -0.00537885120138526, 0.00492157181724906, -0.011250627227127552, -0.10008580982685089, 0.04557203873991966, -0.022711236029863358, -0.05941649526357651, 0.0183121170848608, -0.011344213038682938, 0.03384948521852493, 0.00040495264693163335, 0.11475373059511185, -0.04620121046900749, -0.016883382573723793, 0.014421558007597923, -0.050179023295640945, 0.06591711193323135, -0.06279288232326508, -0.017143024131655693, -0.05753988027572632, -0.024969104677438736, -0.06007665768265724, -0.009286696091294289, 0.04364144802093506, 0.005590663757175207, -0.0502752959728241, 0.02611060068011284, -0.04221023991703987, 0.0015912199160084128, -0.010363999754190445, -0.0697670504450798, -0.022962426766753197, 0.017782283946871758, 0.05868709459900856, 0.002560526365414262, 0.04668104648590088, -0.041324432939291, 0.015906985849142075, 0.009295377880334854, 0.016625387594103813, 0.06459255516529083, -0.03141568973660469, 0.03141084313392639, 0.04523300752043724, -0.06293799728155136, -0.04989183694124222, -0.0971793457865715, -0.019929736852645874, 0.011658255010843277, -0.010685866698622704, -0.08300711959600449, -0.024735793471336365, -0.03978511691093445, 0.01755118928849697, -0.0031089880503714085, -0.052600547671318054, 0.029113901779055595, 0.05398424342274666, 0.03062821365892887, 0.033996112644672394, -0.09609013050794601, 0.05240477994084358, -0.0007246875902637839, 0.0036056856624782085, 0.016568617895245552, 0.09638700634241104, -0.13577020168304443, -0.04946555942296982, 0.023420628160238266, 0.08994241058826447, 0.05557834357023239, -0.017363261431455612, 0.016339804977178574, -0.038410432636737823, 0.040830522775650024, 0.06427785009145737, 0.029970716685056686, -0.0049161529168486595, -0.0065057286992669106, 0.11619723588228226, -0.06565839052200317, 0.024643033742904663, 0.04417511820793152, 0.008771052584052086, -0.016781441867351532, 2.5967526116488524e-33, 0.024361491203308105, 0.06059260293841362, 0.0452495701611042, -0.03911890462040901, 0.01398494467139244, -0.08619560301303864, 0.07098858058452606, 0.0713484063744545, 0.024282535538077354, -0.013433213345706463, 0.04003755375742912, 0.06064750626683235, -0.011889521963894367, 0.006193423643708229, 0.04937855154275894, 0.014505505561828613, -0.020179474726319313, -0.019732216373085976, 0.002511938102543354, 0.008785810321569443, -0.024573935195803642, -0.05364794656634331, 0.10951657593250275, -0.010238036513328552, -0.026652555912733078, 0.02870127372443676, -0.0382254496216774, 0.06729384511709213, -0.030477626249194145, 0.006703891325742006, 0.005392292980104685, -0.006612055003643036, 0.1203249841928482, 0.05245986953377724, 0.13774704933166504, 0.02816941775381565, 0.05741724744439125, 0.04288327321410179, -0.0054228417575359344, 0.026505418121814728, -0.03762444108724594, 0.005352035164833069, -0.007093299180269241, 0.07319770753383636, -0.03488003835082054, -0.11096571385860443, -0.07019343972206116, -0.04934454336762428, 0.032191090285778046, -0.017108460888266563, -0.05438447371125221, -0.030527478083968163, -0.011115281842648983, 0.00003805537926382385, 0.01674480549991131, -0.013162359595298767, 0.042275670915842056, 0.03201007843017578, -0.0056259287521243095, -0.09829436987638474, 0.011457945220172405, -0.05279155448079109, 0.07625052332878113, 0.11863888800144196, 0.014884334057569504, -0.010201009921729565, -0.033369649201631546, 0.05369938910007477, 0.01929430477321148, 0.0059558069333434105, -0.011312057264149189, 0.060950588434934616, 0.056241631507873535, -0.009469849988818169, 0.06063254922628403, -0.01882113888859749, -0.018714802339673042, -0.16272839903831482, 0.0597667470574379, 0.06950635462999344, -0.002165804384276271, 0.08690492063760757, -0.025533990934491158, -0.07006323337554932, -0.021125435829162598, -0.027348456904292107, -0.047222379595041275, -0.037371762096881866, 0.03647925332188606, -0.11818928271532059, -0.03248240053653717, 0.007019064389169216, 0.03655899316072464, -0.02427181415259838, -0.06886199116706848, -3.6007654792312e-33, 0.01526875514537096, 0.06340090185403824, 0.11765404790639877, -0.09942013770341873, 0.04110095649957657, -0.028238579630851746, 0.02178008295595646, 0.0900094285607338, 0.0028129008132964373, 0.05332198366522789, 0.0785716325044632, 0.02484571561217308, 0.01465841569006443, 0.02658873237669468, -0.022691156715154648, 0.002432560781016946, 0.08673591911792755, -0.08663447201251984, 0.023717280477285385, -0.055753324180841446, -0.04090267792344093, -0.04831665754318237, 0.06173872575163841, 0.10328826308250427, -0.08223778754472733, 0.0016653296770527959, -0.06228135526180267, -0.04223715513944626, 0.01272204052656889, -0.035321373492479324, 0.034922871738672256, 0.006200108211487532, 0.07256491482257843, -0.018274839967489243, 0.07704517990350723, 0.04592761769890785, -0.013792875222861767, 0.08672252297401428, 0.02681785076856613, -0.03986334800720215, -0.014639335684478283, -0.012967054732143879, -0.006040876265615225, -0.04364196956157684, -0.017195316031575203, 0.006178253795951605, 0.0057920911349356174, -0.037577830255031586, -0.02047736383974552, -0.06335409730672836, -0.008565133437514305, 0.007077433634549379, -0.06057186797261238, -0.013026807457208633, -0.004306553862988949, -0.030952811241149902, -0.038484860211610794, -0.01705351285636425, 0.049212902784347534, 0.08656191825866699, 0.013308594934642315, -0.029053378850221634, 0.048259437084198, -0.09983987361192703, 0.03274379298090935, 0.07337182760238647, 0.08089425414800644, -0.008841276168823242, 0.07288286089897156, -0.005136348772794008, -0.009476400911808014, 0.04642847925424576, -0.04374411702156067, 0.015754031017422676, 0.021399974822998047, -0.015482460148632526, 0.05780208110809326, 0.006166344508528709, -0.06883794814348221, 0.055742211639881134, 0.05427240952849388, 0.016802089288830757, -0.06181244179606438, 0.0010156175121665, -0.0037585566751658916, -0.024363428354263306, -0.08037521690130234, 0.02716921642422676, -0.019608084112405777, 0.014812660403549671, 0.023593720048666, -0.014421243220567703, 0.0634126290678978, -0.012713644653558731, 0.08672542124986649, -4.643174378315962e-8, 0.0218670517206192, -0.03932810574769974, -0.011686308309435844, 0.0006244716932997108, -0.0393417552113533, -0.012729495763778687, -0.025377465412020683, -0.1827796846628189, -0.015169203281402588, -0.11230597645044327, 0.05086694285273552, -0.03571269288659096, -0.009277721866965294, -0.03525128215551376, 0.03323134407401085, -0.026189204305410385, 0.04134528338909149, 0.005489574745297432, -0.00256417621858418, 0.010158238932490349, -0.06882470101118088, 0.0021844098810106516, 0.06103750318288803, -0.05726628750562668, 0.028318185359239578, -0.007489188574254513, -0.09111682325601578, -0.03759484365582466, 0.005222235340625048, 0.08084512501955032, -0.01160020288079977, -0.0021193616557866335, -0.046507250517606735, 0.11494859308004379, -0.044670525938272476, -0.040698565542697906, 0.03488961607217789, -0.02246217243373394, -0.06472119688987732, -0.1186513751745224, 0.030415678396821022, 0.02224389649927616, -0.03393825516104698, 0.01256171427667141, -0.0059122382663190365, -0.00013017264427617192, 0.032376520335674286, -0.00032641919096931815, -0.00887660589069128, 0.019932946190238, -0.033229440450668335, -0.09365242719650269, -0.019105464220046997, 0.006333020981401205, -0.04204776510596275, -0.023343868553638458, -0.046988774091005325, -0.033162232488393784, -0.02039160579442978, -0.06598953902721405, 0.04670989140868187, -0.04335610941052437, -0.05390910431742668, 0.06602687388658524 ]
1402.0391
Hui Gao
Hui Gao, Tiejun Lv, Di Fang, Shaoshi Yang, Chau Yuen
Limited Feedback-Based Interference Alignment for Interfering Multi-Access Channels
4 pages, 4 figures, to appear in IEEE Communications Letters
IEEE Communications Letters, Vol. 18, No. 4, pp. 540 - 543, April 2014
10.1109/LCOMM.2014.021214.132762
null
cs.IT math.IT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A limited feedback-based interference alignment (IA) scheme is proposed for the interfering multi-access channel (IMAC). By employing a novel performance-oriented quantization strategy, the proposed scheme is able to achieve the minimum overall residual inter-cell interference (ICI) with the optimized transceivers under limited feedback. Consequently, the scheme outperforms the existing counterparts in terms of system throughput. In addition, the proposed scheme can be implemented with flexible antenna configurations.
[ { "created": "Mon, 3 Feb 2014 14:51:22 GMT", "version": "v1" }, { "created": "Tue, 4 Feb 2014 02:57:39 GMT", "version": "v2" } ]
2015-03-04
[ [ "Gao", "Hui", "" ], [ "Lv", "Tiejun", "" ], [ "Fang", "Di", "" ], [ "Yang", "Shaoshi", "" ], [ "Yuen", "Chau", "" ] ]
[ 0.030684074386954308, 0.03532871603965759, 0.024824226275086403, -0.05978420749306679, -0.07562217861413956, -0.06136902794241905, 0.0328354686498642, -0.01733251102268696, 0.059036482125520706, 0.05572154000401497, 0.03450029715895653, 0.009687446989119053, -0.01919507049024105, -0.0435948371887207, -0.05596030876040459, -0.01852424629032612, 0.05322980508208275, -0.02821778692305088, -0.038704268634319305, -0.016898127272725105, 0.08313682675361633, -0.012401273474097252, -0.023675577715039253, 0.004859802313148975, -0.02764548547565937, -0.03862794116139412, 0.06432635337114334, -0.006094221491366625, 0.015749139711260796, -0.08101300895214081, -0.07596256583929062, 0.00461910804733634, 0.012914796359837055, -0.07287085801362991, -0.06991328299045563, -0.0723583847284317, 0.01123575959354639, -0.007417835760861635, 0.06439047306776047, -0.030807698145508766, -0.042687613517045975, 0.05215264856815338, 0.00016253495414275676, -0.06228647008538246, -0.027696214616298676, -0.03698990121483803, -0.03327055275440216, -0.011739191599190235, 0.049679599702358246, 0.0077390410006046295, 0.020908385515213013, 0.08358229696750641, -0.0033868264872580767, 0.054787978529930115, 0.06869795173406601, -0.033366210758686066, -0.05606257542967796, 0.05336649715900421, 0.03261050581932068, 0.043831538408994675, 0.028651615604758263, 0.06607875227928162, 0.07952000945806503, 0.038207683712244034, -0.06440018117427826, -0.022501232102513313, -0.009569243527948856, 0.06249347701668739, -0.05279730632901192, -0.039568692445755005, -0.052750442177057266, -0.07692605257034302, 0.015998320654034615, 0.055226314812898636, 0.11150364577770233, 0.10110218077898026, -0.030881064012646675, 0.012628084048628807, 0.06313953548669815, 0.10160225629806519, -0.012264907360076904, 0.019853876903653145, 0.015287849120795727, -0.10921388119459152, 0.05484874173998833, -0.06751386821269989, -0.07494708150625229, -0.010323209688067436, 0.09068847447633743, -0.022675681859254837, -0.020084058865904808, -0.0008716214215382934, 0.000900514714885503, 0.057727012783288956, 0.013756098225712776, -0.012317041866481304, 0.06622616946697235, 0.015072313137352467, -0.039218343794345856, 0.051914069801568985, 0.10545928031206131, 0.026233382523059845, -0.041119284927845, -0.024760644882917404, -0.004864063113927841, -0.09268680959939957, 0.007981160655617714, 0.02584131993353367, -0.015253052115440369, -0.05915437638759613, -0.048285648226737976, -0.02861410565674305, -0.08155425637960434, 0.03589428588747978, -0.03903840854763985, 0.0838325172662735, 0.12149691581726074, 0.008628726936876774, 0.11185730248689651, -0.10121341794729233, -0.07983531057834625, -0.08660233020782471, 0.0195673406124115, 0.05707557499408722, 0.03300722315907478, 0.00240657152608037, -0.11114294826984406, -2.2419816207439703e-33, -0.09984422475099564, 0.03963515907526016, -0.034631989896297455, 0.015840576961636543, -0.021772542968392372, -0.0626908466219902, -0.046428222209215164, 0.01000804454088211, 0.005190219264477491, 0.051627859473228455, -0.05342738330364227, -0.03919757530093193, -0.029285434633493423, -0.06364426761865616, 0.021262383088469505, -0.005356793757528067, -0.07099458575248718, -0.016970263794064522, -0.009707207791507244, 0.04109049588441849, 0.020113082602620125, -0.03295920789241791, -0.020156804472208023, -0.017464790493249893, 0.05984754487872124, 0.008264676667749882, -0.018779471516609192, -0.014938860200345516, 0.016663989052176476, -0.005741459783166647, 0.004095630720257759, -0.06147817522287369, 0.14428816735744476, -0.04578012973070145, 0.05197799578309059, -0.008012191392481327, -0.026546536013484, -0.026373058557510376, 0.056253671646118164, 0.02405477873980999, -0.02155989594757557, -0.011852893978357315, 0.01526002585887909, -0.08876346796751022, 0.05361225828528404, 0.006054942961782217, -0.0544755645096302, -0.02936014160513878, -0.019268371164798737, -0.004703297279775143, 0.031109970062971115, 0.0576460100710392, -0.02727402001619339, 0.05707428604364395, 0.10510851442813873, -0.007104358170181513, -0.02393786795437336, 0.05349641293287277, 0.013225563801825047, 0.10867831856012344, -0.07841899991035461, -0.07739438861608505, -0.07098042219877243, 0.05734562501311302, -0.002150439191609621, -0.027846485376358032, -0.07183782011270523, -0.008559479378163815, -0.010148738510906696, 0.06986910104751587, -0.036962803453207016, -0.07361836731433868, 0.01847362332046032, -0.07536420226097107, 0.0053598894737660885, -0.06832309067249298, -0.07854225486516953, 0.03409721702337265, 0.012527295388281345, 0.06775853037834167, 0.050744540989398956, 0.08322631567716599, -0.03593078628182411, 0.061172351241111755, 0.0015073117101565003, -0.008508052676916122, 0.04411580413579941, 0.0707918107509613, 0.022912194952368736, 0.04903997853398323, 0.007396763190627098, 0.10634278506040573, -0.02843375876545906, -0.0046986606903374195, -0.046211130917072296, 1.2140219128544572e-33, 0.03825555369257927, -0.02520422637462616, 0.07203473895788193, -0.07755950838327408, -0.0360814705491066, -0.03592965379357338, 0.03854791820049286, -0.05086459964513779, 0.031700633466243744, -0.018901251256465912, 0.07600539177656174, -0.0506160594522953, -0.03209707885980606, 0.0648922249674797, -0.031080977991223335, 0.03881159797310829, 0.022879457101225853, 0.05871802940964699, -0.00334389740601182, -0.011134699918329716, 0.08430460840463638, -0.0472126267850399, 0.09236665815114975, -0.0829683393239975, 0.04289017245173454, -0.043087150901556015, -0.0066961185075342655, 0.09643066674470901, 0.07534557580947876, -0.015817096456885338, -0.0569695346057415, 0.035775262862443924, 0.03281328082084656, -0.027285125106573105, 0.11642863601446152, -0.04038261994719505, -0.027513224631547928, -0.002939963946118951, 0.042613714933395386, -0.01860465668141842, 0.05311308056116104, -0.022532416507601738, -0.09710711985826492, 0.022096309810876846, 0.06448609381914139, 0.035400912165641785, -0.0447990782558918, 0.046325866132974625, -0.060201484709978104, -0.027714025229215622, 0.02350568398833275, -0.06820342689752579, 0.02823352999985218, 0.016340799629688263, 0.01835404895246029, -0.014906889759004116, 0.0459444522857666, 0.07440601289272308, -0.011190050281584263, 0.050508465617895126, 0.0733095332980156, -0.03341365605592728, 0.03547865152359009, -0.13840869069099426, 0.07392215728759766, -0.007339999545365572, 0.025012442842125893, -0.01017025113105774, -0.011680754832923412, 0.04809853434562683, -0.012445504777133465, -0.0480036623775959, -0.05086352676153183, -0.03144918754696846, 0.05573715269565582, 0.03655359148979187, 0.009861071594059467, -0.08569438010454178, 0.08034084737300873, -0.012088626623153687, -0.057927947491407394, 0.07276137918233871, -0.0254843607544899, 0.030469177290797234, 0.004986515734344721, 0.05789237096905708, 0.011718620546162128, 0.035044021904468536, 0.0008358529303222895, 0.010038448497653008, -0.060267847031354904, 0.017041927203536034, -0.004248981364071369, -0.014525383710861206, -0.13615553081035614, -4.389205443544597e-8, -0.029413174837827682, -0.027320848777890205, -0.052806150168180466, 0.006222625263035297, -0.05987976863980293, -0.032652296125888824, -0.02585470862686634, -0.07659122347831726, 0.10254284739494324, -0.04926632344722748, 0.05384482815861702, 0.020110303536057472, -0.02218051627278328, 0.10832156240940094, 0.019740641117095947, -0.009968380443751812, -0.09205235540866852, -0.027102524414658546, 0.05066506192088127, 0.06802939623594284, -0.06742601841688156, 0.0777602568268776, -0.005512845702469349, 0.007833855226635933, -0.018582558259367943, -0.017523568123579025, 0.01932702213525772, 0.023239079862833023, -0.0027252736035734415, -0.06943857669830322, -0.024153415113687515, -0.008899640291929245, 0.061137281358242035, 0.09862437844276428, -0.054249729961156845, -0.015146644786000252, 0.0044164517894387245, -0.001958768116310239, -0.00839646439999342, -0.014003335498273373, -0.015554086305201054, -0.016635671257972717, -0.007085938006639481, -0.0014492927584797144, 0.07692833989858627, 0.059492308646440506, 0.05847311019897461, 0.03251418471336365, -0.028301775455474854, -0.04099129140377045, 0.04038076102733612, 0.10711418837308884, 0.010531645268201828, -0.07382183521986008, -0.022029604762792587, -0.08348064124584198, 0.0723751038312912, -0.05965599790215492, 0.05693281814455986, -0.011272008530795574, -0.052315812557935715, 0.0020368341356515884, -0.015264500863850117, 0.023333463817834854 ]
null
null
null
null
null
null
null
[ 0.030684074386954308, 0.03532871603965759, 0.024824226275086403, -0.05978420749306679, -0.07562217861413956, -0.06136902794241905, 0.0328354686498642, -0.01733251102268696, 0.059036482125520706, 0.05572154000401497, 0.03450029715895653, 0.009687446989119053, -0.01919507049024105, -0.0435948371887207, -0.05596030876040459, -0.01852424629032612, 0.05322980508208275, -0.02821778692305088, -0.038704268634319305, -0.016898127272725105, 0.08313682675361633, -0.012401273474097252, -0.023675577715039253, 0.004859802313148975, -0.02764548547565937, -0.03862794116139412, 0.06432635337114334, -0.006094221491366625, 0.015749139711260796, -0.08101300895214081, -0.07596256583929062, 0.00461910804733634, 0.012914796359837055, -0.07287085801362991, -0.06991328299045563, -0.0723583847284317, 0.01123575959354639, -0.007417835760861635, 0.06439047306776047, -0.030807698145508766, -0.042687613517045975, 0.05215264856815338, 0.00016253495414275676, -0.06228647008538246, -0.027696214616298676, -0.03698990121483803, -0.03327055275440216, -0.011739191599190235, 0.049679599702358246, 0.0077390410006046295, 0.020908385515213013, 0.08358229696750641, -0.0033868264872580767, 0.054787978529930115, 0.06869795173406601, -0.033366210758686066, -0.05606257542967796, 0.05336649715900421, 0.03261050581932068, 0.043831538408994675, 0.028651615604758263, 0.06607875227928162, 0.07952000945806503, 0.038207683712244034, -0.06440018117427826, -0.022501232102513313, -0.009569243527948856, 0.06249347701668739, -0.05279730632901192, -0.039568692445755005, -0.052750442177057266, -0.07692605257034302, 0.015998320654034615, 0.055226314812898636, 0.11150364577770233, 0.10110218077898026, -0.030881064012646675, 0.012628084048628807, 0.06313953548669815, 0.10160225629806519, -0.012264907360076904, 0.019853876903653145, 0.015287849120795727, -0.10921388119459152, 0.05484874173998833, -0.06751386821269989, -0.07494708150625229, -0.010323209688067436, 0.09068847447633743, -0.022675681859254837, -0.020084058865904808, -0.0008716214215382934, 0.000900514714885503, 0.057727012783288956, 0.013756098225712776, -0.012317041866481304, 0.06622616946697235, 0.015072313137352467, -0.039218343794345856, 0.051914069801568985, 0.10545928031206131, 0.026233382523059845, -0.041119284927845, -0.024760644882917404, -0.004864063113927841, -0.09268680959939957, 0.007981160655617714, 0.02584131993353367, -0.015253052115440369, -0.05915437638759613, -0.048285648226737976, -0.02861410565674305, -0.08155425637960434, 0.03589428588747978, -0.03903840854763985, 0.0838325172662735, 0.12149691581726074, 0.008628726936876774, 0.11185730248689651, -0.10121341794729233, -0.07983531057834625, -0.08660233020782471, 0.0195673406124115, 0.05707557499408722, 0.03300722315907478, 0.00240657152608037, -0.11114294826984406, -2.2419816207439703e-33, -0.09984422475099564, 0.03963515907526016, -0.034631989896297455, 0.015840576961636543, -0.021772542968392372, -0.0626908466219902, -0.046428222209215164, 0.01000804454088211, 0.005190219264477491, 0.051627859473228455, -0.05342738330364227, -0.03919757530093193, -0.029285434633493423, -0.06364426761865616, 0.021262383088469505, -0.005356793757528067, -0.07099458575248718, -0.016970263794064522, -0.009707207791507244, 0.04109049588441849, 0.020113082602620125, -0.03295920789241791, -0.020156804472208023, -0.017464790493249893, 0.05984754487872124, 0.008264676667749882, -0.018779471516609192, -0.014938860200345516, 0.016663989052176476, -0.005741459783166647, 0.004095630720257759, -0.06147817522287369, 0.14428816735744476, -0.04578012973070145, 0.05197799578309059, -0.008012191392481327, -0.026546536013484, -0.026373058557510376, 0.056253671646118164, 0.02405477873980999, -0.02155989594757557, -0.011852893978357315, 0.01526002585887909, -0.08876346796751022, 0.05361225828528404, 0.006054942961782217, -0.0544755645096302, -0.02936014160513878, -0.019268371164798737, -0.004703297279775143, 0.031109970062971115, 0.0576460100710392, -0.02727402001619339, 0.05707428604364395, 0.10510851442813873, -0.007104358170181513, -0.02393786795437336, 0.05349641293287277, 0.013225563801825047, 0.10867831856012344, -0.07841899991035461, -0.07739438861608505, -0.07098042219877243, 0.05734562501311302, -0.002150439191609621, -0.027846485376358032, -0.07183782011270523, -0.008559479378163815, -0.010148738510906696, 0.06986910104751587, -0.036962803453207016, -0.07361836731433868, 0.01847362332046032, -0.07536420226097107, 0.0053598894737660885, -0.06832309067249298, -0.07854225486516953, 0.03409721702337265, 0.012527295388281345, 0.06775853037834167, 0.050744540989398956, 0.08322631567716599, -0.03593078628182411, 0.061172351241111755, 0.0015073117101565003, -0.008508052676916122, 0.04411580413579941, 0.0707918107509613, 0.022912194952368736, 0.04903997853398323, 0.007396763190627098, 0.10634278506040573, -0.02843375876545906, -0.0046986606903374195, -0.046211130917072296, 1.2140219128544572e-33, 0.03825555369257927, -0.02520422637462616, 0.07203473895788193, -0.07755950838327408, -0.0360814705491066, -0.03592965379357338, 0.03854791820049286, -0.05086459964513779, 0.031700633466243744, -0.018901251256465912, 0.07600539177656174, -0.0506160594522953, -0.03209707885980606, 0.0648922249674797, -0.031080977991223335, 0.03881159797310829, 0.022879457101225853, 0.05871802940964699, -0.00334389740601182, -0.011134699918329716, 0.08430460840463638, -0.0472126267850399, 0.09236665815114975, -0.0829683393239975, 0.04289017245173454, -0.043087150901556015, -0.0066961185075342655, 0.09643066674470901, 0.07534557580947876, -0.015817096456885338, -0.0569695346057415, 0.035775262862443924, 0.03281328082084656, -0.027285125106573105, 0.11642863601446152, -0.04038261994719505, -0.027513224631547928, -0.002939963946118951, 0.042613714933395386, -0.01860465668141842, 0.05311308056116104, -0.022532416507601738, -0.09710711985826492, 0.022096309810876846, 0.06448609381914139, 0.035400912165641785, -0.0447990782558918, 0.046325866132974625, -0.060201484709978104, -0.027714025229215622, 0.02350568398833275, -0.06820342689752579, 0.02823352999985218, 0.016340799629688263, 0.01835404895246029, -0.014906889759004116, 0.0459444522857666, 0.07440601289272308, -0.011190050281584263, 0.050508465617895126, 0.0733095332980156, -0.03341365605592728, 0.03547865152359009, -0.13840869069099426, 0.07392215728759766, -0.007339999545365572, 0.025012442842125893, -0.01017025113105774, -0.011680754832923412, 0.04809853434562683, -0.012445504777133465, -0.0480036623775959, -0.05086352676153183, -0.03144918754696846, 0.05573715269565582, 0.03655359148979187, 0.009861071594059467, -0.08569438010454178, 0.08034084737300873, -0.012088626623153687, -0.057927947491407394, 0.07276137918233871, -0.0254843607544899, 0.030469177290797234, 0.004986515734344721, 0.05789237096905708, 0.011718620546162128, 0.035044021904468536, 0.0008358529303222895, 0.010038448497653008, -0.060267847031354904, 0.017041927203536034, -0.004248981364071369, -0.014525383710861206, -0.13615553081035614, -4.389205443544597e-8, -0.029413174837827682, -0.027320848777890205, -0.052806150168180466, 0.006222625263035297, -0.05987976863980293, -0.032652296125888824, -0.02585470862686634, -0.07659122347831726, 0.10254284739494324, -0.04926632344722748, 0.05384482815861702, 0.020110303536057472, -0.02218051627278328, 0.10832156240940094, 0.019740641117095947, -0.009968380443751812, -0.09205235540866852, -0.027102524414658546, 0.05066506192088127, 0.06802939623594284, -0.06742601841688156, 0.0777602568268776, -0.005512845702469349, 0.007833855226635933, -0.018582558259367943, -0.017523568123579025, 0.01932702213525772, 0.023239079862833023, -0.0027252736035734415, -0.06943857669830322, -0.024153415113687515, -0.008899640291929245, 0.061137281358242035, 0.09862437844276428, -0.054249729961156845, -0.015146644786000252, 0.0044164517894387245, -0.001958768116310239, -0.00839646439999342, -0.014003335498273373, -0.015554086305201054, -0.016635671257972717, -0.007085938006639481, -0.0014492927584797144, 0.07692833989858627, 0.059492308646440506, 0.05847311019897461, 0.03251418471336365, -0.028301775455474854, -0.04099129140377045, 0.04038076102733612, 0.10711418837308884, 0.010531645268201828, -0.07382183521986008, -0.022029604762792587, -0.08348064124584198, 0.0723751038312912, -0.05965599790215492, 0.05693281814455986, -0.011272008530795574, -0.052315812557935715, 0.0020368341356515884, -0.015264500863850117, 0.023333463817834854 ]
1402.0400
Sandor P. Fekete
SeoungKyou Lee, Aaron Becker, S\'andor P. Fekete, Alexander Kr\"oller, and James McLurkin
Exploration via Structured Triangulation by a Multi-Robot System with Bearing-Only Low-Resolution Sensors
8 pages, 11 figures. To appear in ICRA 2014
null
null
null
cs.RO cs.CG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper presents a distributed approach for exploring and triangulating an unknown region using a multi- robot system. The objective is to produce a covering of an unknown workspace by a fixed number of robots such that the covered region is maximized, solving the Maximum Area Triangulation Problem (MATP). The resulting triangulation is a physical data structure that is a compact representation of the workspace; it contains distributed knowledge of each triangle, adjacent triangles, and the dual graph of the workspace. Algorithms can store information in this physical data structure, such as a routing table for robot navigation Our algorithm builds a triangulation in a closed environment, starting from a single location. It provides coverage with a breadth-first search pattern and completeness guarantees. We show the computational and communication requirements to build and maintain the triangulation and its dual graph are small. Finally, we present a physical navigation algorithm that uses the dual graph, and show that the resulting path lengths are within a constant factor of the shortest-path Euclidean distance. We validate our theoretical results with experiments on triangulating a region with a system of low-cost robots. Analysis of the resulting quality of the triangulation shows that most of the triangles are of high quality, and cover a large area. Implementation of the triangulation, dual graph, and navigation all use communication messages of fixed size, and are a practical solution for large populations of low-cost robots.
[ { "created": "Mon, 3 Feb 2014 15:28:35 GMT", "version": "v1" } ]
2014-02-04
[ [ "Lee", "SeoungKyou", "" ], [ "Becker", "Aaron", "" ], [ "Fekete", "Sándor P.", "" ], [ "Kröller", "Alexander", "" ], [ "McLurkin", "James", "" ] ]
[ 0.03146607428789139, -0.01233768556267023, -0.04637491703033447, -0.026496293023228645, -0.012687078677117825, -0.09077619016170502, -0.08766821771860123, 0.00013255396333988756, -0.07600242644548416, 0.08253563195466995, -0.023072250187397003, -0.041306741535663605, 0.05893903225660324, 0.014335798099637032, 0.07512722909450531, 0.04426164925098419, 0.08413892984390259, 0.03923603147268295, -0.051664698868989944, -0.08455231785774231, 0.030565522611141205, 0.028841165825724602, 0.02572304755449295, -0.05210179463028908, -0.055147890001535416, 0.03860883414745331, 0.08624467998743057, -0.11876571178436279, -0.04013839364051819, -0.007214249577373266, 0.046366866677999496, -0.025665344670414925, -0.05819502845406532, -0.02830970101058483, 0.01355802919715643, 0.06043720245361328, -0.08513061702251434, 0.02864590287208557, 0.028465554118156433, 0.03318563103675842, -0.022205479443073273, 0.0882003903388977, 0.028533950448036194, 0.036490876227617264, 0.007027908693999052, 0.09213478118181229, -0.04770364239811897, 0.02928369864821434, 0.11232700198888779, 0.015646347776055336, -0.0539352186024189, -0.0942845419049263, 0.028970008715987206, -0.03095380775630474, -0.029501544311642647, -0.013862885534763336, 0.04545288532972336, -0.06885118037462234, 0.03716147318482399, 0.029667992144823074, 0.10815411061048508, -0.04906260594725609, 0.04502548277378082, -0.02923288382589817, -0.030795950442552567, 0.007847961969673634, -0.03736874461174011, -0.010175006464123726, 0.0008222846081480384, 0.041201502084732056, 0.05270564556121826, 0.014318986795842648, 0.05916649475693703, 0.05256638303399086, -0.001429654541425407, -0.05915885418653488, 0.040979769080877304, 0.027477571740746498, 0.0018021442228928208, -0.00693923607468605, 0.02784133329987526, 0.040784046053886414, -0.037244394421577454, 0.029102856293320656, -0.002010252559557557, -0.017988447099924088, -0.029025647789239883, -0.022703081369400024, 0.06678846478462219, -0.043757181614637375, 0.06045207753777504, -0.06302493810653687, -0.06393732875585556, -0.008617641404271126, -0.06295488774776459, -0.09894054383039474, 0.04178434610366821, -0.019168544560670853, 0.02152123674750328, 0.006702024023979902, 0.019120818004012108, -0.014300827868282795, 0.03463951498270035, -0.057045336812734604, -0.021913867443799973, 0.050818901509046555, 0.019217360764741898, -0.014001250267028809, 0.03334078565239906, 0.051301509141922, -0.0010817695874720812, -0.019035980105400085, 0.005318541079759598, 0.04926665499806404, -0.04279103875160217, 0.03204844146966934, 0.004105929285287857, 0.008279950357973576, 0.022297853603959084, 0.11473577469587326, -0.009767320938408375, -0.06829844415187836, 0.11413796246051788, 0.03347646817564964, 0.096653051674366, -0.032743312418460846, -0.007414164487272501, -1.6911131928669757e-33, 0.0008225641795434058, 0.05267251655459404, 0.036031097173690796, 0.0628250390291214, 0.06440382450819016, 0.011147051118314266, 0.058091890066862106, 0.018792254850268364, -0.009869989939033985, 0.0710892602801323, -0.044443607330322266, -0.0002922895073425025, -0.018461523577570915, 0.01441648043692112, 0.05191600322723389, 0.03487752377986908, 0.04755328223109245, -0.011256596073508263, -0.05405189096927643, 0.008622954599559307, 0.03021695464849472, -0.022489136084914207, -0.027648625895380974, -0.01863342709839344, 0.047632161527872086, -0.0018992314580827951, 0.0322205051779747, -0.04820545017719269, 0.018740598112344742, 0.04115616902709007, -0.13675498962402344, 0.007324463687837124, 0.016928890720009804, 0.16555333137512207, -0.014995543286204338, 0.034751515835523605, -0.11370689421892166, -0.04440448433160782, -0.06679023802280426, 0.0011404756223782897, 0.07345841825008392, 0.001243389444425702, 0.00013683763972949237, -0.09495428949594498, -0.02904718928039074, -0.04135720059275627, -0.07814245671033859, 0.006055166944861412, -0.04447290673851967, -0.04905498027801514, 0.0004848394019063562, 0.0677829459309578, -0.03805233910679817, 0.007573955692350864, -0.020235156640410423, -0.10983828455209732, -0.0399617925286293, -0.05769779160618782, 0.045104850083589554, 0.08624203503131866, 0.01827338896691799, -0.014558982104063034, 0.02031385339796543, 0.1088760644197464, -0.03212345018982887, -0.0816708579659462, -0.003875378053635359, 0.009881013073027134, 0.13067999482154846, 0.0014935022918507457, -0.04020620509982109, -0.04948484152555466, 0.1009458675980568, -0.025058241561055183, 0.0465286448597908, -0.03137388452887535, -0.023541541770100594, -0.024152787402272224, 0.034635238349437714, -0.04447658360004425, -0.029043279588222504, -0.0709042176604271, -0.050361327826976776, -0.029251523315906525, 0.07636784017086029, -0.034744881093502045, -0.021753687411546707, 0.056919317692518234, -0.0745244026184082, -0.032949406653642654, -0.09305194020271301, 0.014242000877857208, -0.06744315475225449, 0.00931580737233162, 0.0253756120800972, 2.186584796422539e-34, -0.022809095680713654, 0.032631829380989075, 0.046814750880002975, 0.0023301139008253813, -0.02237260341644287, -0.05650019645690918, 0.01245811115950346, -0.11711235344409943, -0.05755356326699257, 0.04352693632245064, -0.15854808688163757, -0.0666840597987175, 0.07257501035928726, -0.007759884465485811, 0.020291445776820183, 0.07066532224416733, 0.0841778814792633, -0.07212253659963608, -0.025903338566422462, -0.00029080332024022937, -0.020687397569417953, 0.011425287462770939, -0.07714378088712692, -0.04267124459147453, 0.05444260314106941, 0.0321180559694767, -0.042607519775629044, -0.03717472404241562, 0.01711377315223217, 0.0994875505566597, -0.058180343359708786, -0.06690522283315659, 0.021403545513749123, -0.012764901854097843, -0.019138211384415627, -0.06610661745071411, 0.0036807351280003786, 0.03205221891403198, 0.03164813667535782, 0.01155133731663227, 0.023342115804553032, -0.03699011728167534, -0.013100452721118927, -0.009918893687427044, 0.027270106598734856, -0.015349292196333408, -0.05860365927219391, 0.049338165670633316, -0.057306963950395584, 0.012410079129040241, -0.03680112212896347, 0.03811018913984299, -0.0209199208766222, -0.022089337930083275, 0.030827173963189125, 0.011062446050345898, -0.08409067243337631, 0.10521871596574783, -0.01796676777303219, -0.014153096824884415, -0.026104096323251724, -0.08310244977474213, -0.03164883330464363, 0.1285930871963501, 0.052523043006658554, 0.05982501432299614, 0.06304112821817398, -0.0014552654465660453, -0.03970518335700035, 0.008271184749901295, 0.01973693259060383, 0.06120720133185387, -0.019162336364388466, 0.003771028947085142, 0.01368354819715023, 0.06452994048595428, 0.018726376816630363, 0.035262830555438995, 0.04241900518536568, 0.02896234020590782, -0.09041978418827057, -0.006552031729370356, 0.007517892401665449, 0.06985091418027878, 0.02728143520653248, 0.01654597744345665, -0.015399256721138954, -0.0000620722203166224, 0.038938287645578384, 0.03759584575891495, -0.002761324169114232, 0.005566519685089588, -0.09855365753173828, -0.03537454083561897, -0.014004508964717388, -4.490618366048693e-8, -0.10961195826530457, 0.03622085973620415, -0.008102343417704105, -0.06967338174581528, 0.05861419439315796, 0.023750541731715202, 0.0988602563738823, 0.06351005285978317, -0.05072185397148132, 0.013883275911211967, 0.03748630732297897, 0.027263103052973747, -0.016207607463002205, 0.06283833086490631, -0.02542581409215927, 0.04093248397111893, 0.006529369857162237, -0.13359281420707703, 0.022503221407532692, 0.033794306218624115, -0.010368257761001587, -0.04546928405761719, 0.004375888034701347, 0.04980985075235367, -0.043856050819158554, -0.016563445329666138, -0.022335970774292946, -0.00810157135128975, 0.05507818982005119, -0.02736656181514263, -0.05337180197238922, -0.09112202376127243, 0.025753313675522804, 0.07519400864839554, 0.036070194095373154, -0.00648852763697505, 0.008720124140381813, -0.004588759038597345, -0.007052420638501644, -0.03256850689649582, 0.04465871304273605, 0.1157720685005188, 0.017431730404496193, 0.038171444088220596, 0.08327466994524002, 0.028428053483366966, 0.009668225422501564, -0.04107764735817909, -0.00015237071784213185, -0.03701110556721687, -0.0910971462726593, 0.024218205362558365, -0.004690815694630146, 0.07023895531892776, 0.05824676901102066, 0.06235537305474281, -0.004931208211928606, -0.11298851668834686, 0.039709560573101044, 0.073057159781456, -0.031908512115478516, -0.011728855781257153, -0.09130043536424637, 0.021580664440989494 ]
null
null
null
null
null
null
null
[ 0.03146607428789139, -0.01233768556267023, -0.04637491703033447, -0.026496293023228645, -0.012687078677117825, -0.09077619016170502, -0.08766821771860123, 0.00013255396333988756, -0.07600242644548416, 0.08253563195466995, -0.023072250187397003, -0.041306741535663605, 0.05893903225660324, 0.014335798099637032, 0.07512722909450531, 0.04426164925098419, 0.08413892984390259, 0.03923603147268295, -0.051664698868989944, -0.08455231785774231, 0.030565522611141205, 0.028841165825724602, 0.02572304755449295, -0.05210179463028908, -0.055147890001535416, 0.03860883414745331, 0.08624467998743057, -0.11876571178436279, -0.04013839364051819, -0.007214249577373266, 0.046366866677999496, -0.025665344670414925, -0.05819502845406532, -0.02830970101058483, 0.01355802919715643, 0.06043720245361328, -0.08513061702251434, 0.02864590287208557, 0.028465554118156433, 0.03318563103675842, -0.022205479443073273, 0.0882003903388977, 0.028533950448036194, 0.036490876227617264, 0.007027908693999052, 0.09213478118181229, -0.04770364239811897, 0.02928369864821434, 0.11232700198888779, 0.015646347776055336, -0.0539352186024189, -0.0942845419049263, 0.028970008715987206, -0.03095380775630474, -0.029501544311642647, -0.013862885534763336, 0.04545288532972336, -0.06885118037462234, 0.03716147318482399, 0.029667992144823074, 0.10815411061048508, -0.04906260594725609, 0.04502548277378082, -0.02923288382589817, -0.030795950442552567, 0.007847961969673634, -0.03736874461174011, -0.010175006464123726, 0.0008222846081480384, 0.041201502084732056, 0.05270564556121826, 0.014318986795842648, 0.05916649475693703, 0.05256638303399086, -0.001429654541425407, -0.05915885418653488, 0.040979769080877304, 0.027477571740746498, 0.0018021442228928208, -0.00693923607468605, 0.02784133329987526, 0.040784046053886414, -0.037244394421577454, 0.029102856293320656, -0.002010252559557557, -0.017988447099924088, -0.029025647789239883, -0.022703081369400024, 0.06678846478462219, -0.043757181614637375, 0.06045207753777504, -0.06302493810653687, -0.06393732875585556, -0.008617641404271126, -0.06295488774776459, -0.09894054383039474, 0.04178434610366821, -0.019168544560670853, 0.02152123674750328, 0.006702024023979902, 0.019120818004012108, -0.014300827868282795, 0.03463951498270035, -0.057045336812734604, -0.021913867443799973, 0.050818901509046555, 0.019217360764741898, -0.014001250267028809, 0.03334078565239906, 0.051301509141922, -0.0010817695874720812, -0.019035980105400085, 0.005318541079759598, 0.04926665499806404, -0.04279103875160217, 0.03204844146966934, 0.004105929285287857, 0.008279950357973576, 0.022297853603959084, 0.11473577469587326, -0.009767320938408375, -0.06829844415187836, 0.11413796246051788, 0.03347646817564964, 0.096653051674366, -0.032743312418460846, -0.007414164487272501, -1.6911131928669757e-33, 0.0008225641795434058, 0.05267251655459404, 0.036031097173690796, 0.0628250390291214, 0.06440382450819016, 0.011147051118314266, 0.058091890066862106, 0.018792254850268364, -0.009869989939033985, 0.0710892602801323, -0.044443607330322266, -0.0002922895073425025, -0.018461523577570915, 0.01441648043692112, 0.05191600322723389, 0.03487752377986908, 0.04755328223109245, -0.011256596073508263, -0.05405189096927643, 0.008622954599559307, 0.03021695464849472, -0.022489136084914207, -0.027648625895380974, -0.01863342709839344, 0.047632161527872086, -0.0018992314580827951, 0.0322205051779747, -0.04820545017719269, 0.018740598112344742, 0.04115616902709007, -0.13675498962402344, 0.007324463687837124, 0.016928890720009804, 0.16555333137512207, -0.014995543286204338, 0.034751515835523605, -0.11370689421892166, -0.04440448433160782, -0.06679023802280426, 0.0011404756223782897, 0.07345841825008392, 0.001243389444425702, 0.00013683763972949237, -0.09495428949594498, -0.02904718928039074, -0.04135720059275627, -0.07814245671033859, 0.006055166944861412, -0.04447290673851967, -0.04905498027801514, 0.0004848394019063562, 0.0677829459309578, -0.03805233910679817, 0.007573955692350864, -0.020235156640410423, -0.10983828455209732, -0.0399617925286293, -0.05769779160618782, 0.045104850083589554, 0.08624203503131866, 0.01827338896691799, -0.014558982104063034, 0.02031385339796543, 0.1088760644197464, -0.03212345018982887, -0.0816708579659462, -0.003875378053635359, 0.009881013073027134, 0.13067999482154846, 0.0014935022918507457, -0.04020620509982109, -0.04948484152555466, 0.1009458675980568, -0.025058241561055183, 0.0465286448597908, -0.03137388452887535, -0.023541541770100594, -0.024152787402272224, 0.034635238349437714, -0.04447658360004425, -0.029043279588222504, -0.0709042176604271, -0.050361327826976776, -0.029251523315906525, 0.07636784017086029, -0.034744881093502045, -0.021753687411546707, 0.056919317692518234, -0.0745244026184082, -0.032949406653642654, -0.09305194020271301, 0.014242000877857208, -0.06744315475225449, 0.00931580737233162, 0.0253756120800972, 2.186584796422539e-34, -0.022809095680713654, 0.032631829380989075, 0.046814750880002975, 0.0023301139008253813, -0.02237260341644287, -0.05650019645690918, 0.01245811115950346, -0.11711235344409943, -0.05755356326699257, 0.04352693632245064, -0.15854808688163757, -0.0666840597987175, 0.07257501035928726, -0.007759884465485811, 0.020291445776820183, 0.07066532224416733, 0.0841778814792633, -0.07212253659963608, -0.025903338566422462, -0.00029080332024022937, -0.020687397569417953, 0.011425287462770939, -0.07714378088712692, -0.04267124459147453, 0.05444260314106941, 0.0321180559694767, -0.042607519775629044, -0.03717472404241562, 0.01711377315223217, 0.0994875505566597, -0.058180343359708786, -0.06690522283315659, 0.021403545513749123, -0.012764901854097843, -0.019138211384415627, -0.06610661745071411, 0.0036807351280003786, 0.03205221891403198, 0.03164813667535782, 0.01155133731663227, 0.023342115804553032, -0.03699011728167534, -0.013100452721118927, -0.009918893687427044, 0.027270106598734856, -0.015349292196333408, -0.05860365927219391, 0.049338165670633316, -0.057306963950395584, 0.012410079129040241, -0.03680112212896347, 0.03811018913984299, -0.0209199208766222, -0.022089337930083275, 0.030827173963189125, 0.011062446050345898, -0.08409067243337631, 0.10521871596574783, -0.01796676777303219, -0.014153096824884415, -0.026104096323251724, -0.08310244977474213, -0.03164883330464363, 0.1285930871963501, 0.052523043006658554, 0.05982501432299614, 0.06304112821817398, -0.0014552654465660453, -0.03970518335700035, 0.008271184749901295, 0.01973693259060383, 0.06120720133185387, -0.019162336364388466, 0.003771028947085142, 0.01368354819715023, 0.06452994048595428, 0.018726376816630363, 0.035262830555438995, 0.04241900518536568, 0.02896234020590782, -0.09041978418827057, -0.006552031729370356, 0.007517892401665449, 0.06985091418027878, 0.02728143520653248, 0.01654597744345665, -0.015399256721138954, -0.0000620722203166224, 0.038938287645578384, 0.03759584575891495, -0.002761324169114232, 0.005566519685089588, -0.09855365753173828, -0.03537454083561897, -0.014004508964717388, -4.490618366048693e-8, -0.10961195826530457, 0.03622085973620415, -0.008102343417704105, -0.06967338174581528, 0.05861419439315796, 0.023750541731715202, 0.0988602563738823, 0.06351005285978317, -0.05072185397148132, 0.013883275911211967, 0.03748630732297897, 0.027263103052973747, -0.016207607463002205, 0.06283833086490631, -0.02542581409215927, 0.04093248397111893, 0.006529369857162237, -0.13359281420707703, 0.022503221407532692, 0.033794306218624115, -0.010368257761001587, -0.04546928405761719, 0.004375888034701347, 0.04980985075235367, -0.043856050819158554, -0.016563445329666138, -0.022335970774292946, -0.00810157135128975, 0.05507818982005119, -0.02736656181514263, -0.05337180197238922, -0.09112202376127243, 0.025753313675522804, 0.07519400864839554, 0.036070194095373154, -0.00648852763697505, 0.008720124140381813, -0.004588759038597345, -0.007052420638501644, -0.03256850689649582, 0.04465871304273605, 0.1157720685005188, 0.017431730404496193, 0.038171444088220596, 0.08327466994524002, 0.028428053483366966, 0.009668225422501564, -0.04107764735817909, -0.00015237071784213185, -0.03701110556721687, -0.0910971462726593, 0.024218205362558365, -0.004690815694630146, 0.07023895531892776, 0.05824676901102066, 0.06235537305474281, -0.004931208211928606, -0.11298851668834686, 0.039709560573101044, 0.073057159781456, -0.031908512115478516, -0.011728855781257153, -0.09130043536424637, 0.021580664440989494 ]
1402.0402
Ben Strasser
Julian Dibbelt, Ben Strasser, Dorothea Wagner
Customizable Contraction Hierarchies
null
null
null
null
cs.DS cs.AI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the problem of quickly computing shortest paths in weighted graphs given auxiliary data derived in an expensive preprocessing phase. By adding a fast weight-customization phase, we extend Contraction Hierarchies by Geisberger et al to support the three-phase workflow introduced by Delling et al. Our Customizable Contraction Hierarchies use nested dissection orders as suggested by Bauer et al. We provide an in-depth experimental analysis on large road and game maps that clearly shows that Customizable Contraction Hierarchies are a very practicable solution in scenarios where edge weights often change.
[ { "created": "Mon, 3 Feb 2014 15:38:27 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2014 12:29:17 GMT", "version": "v2" }, { "created": "Wed, 12 Feb 2014 09:37:36 GMT", "version": "v3" }, { "created": "Fri, 27 Jun 2014 08:18:28 GMT", "version": "v4" }, { "created": "Fri, 21 Aug 2015 11:25:25 GMT", "version": "v5" } ]
2015-08-24
[ [ "Dibbelt", "Julian", "" ], [ "Strasser", "Ben", "" ], [ "Wagner", "Dorothea", "" ] ]
[ -0.014374889433383942, 0.023650212213397026, 0.05599282681941986, -0.027625152841210365, -0.05348898470401764, -0.06664182990789413, -0.08224522322416306, -0.05004992336034775, -0.02384469471871853, 0.05388018116354942, -0.06913190335035324, -0.005995084531605244, -0.01206582598388195, 0.09876544028520584, 0.02375522069633007, 0.03877313807606697, 0.04708683863282204, 0.06703878939151764, -0.02821696363389492, -0.07611464709043503, -0.012307438999414444, -0.04526006430387497, -0.08031301200389862, -0.03689820319414139, 0.06933250278234482, -0.0030843608547002077, 0.020762935280799866, 0.03150801360607147, 0.05602255091071129, -0.030113516375422478, 0.01039090845733881, -0.00823859591037035, 0.050466056913137436, 0.03939543291926384, -0.04388049244880676, 0.05325289070606232, -0.044723834842443466, -0.05251237004995346, 0.0448823943734169, 0.057209864258766174, -0.009736098349094391, 0.03430283069610596, 0.023780714720487595, 0.05268680304288864, 0.011852524243295193, 0.011005530133843422, -0.031032996252179146, 0.024171257391572, -0.07262279838323593, 0.0047750151716172695, -0.04221383482217789, -0.04541991651058197, -0.05684971436858177, 0.03517429903149605, -0.002345617860555649, 0.023728132247924805, 0.016295433044433594, -0.03788260370492935, 0.02049463987350464, 0.04793107509613037, 0.050349798053503036, -0.10606090724468231, -0.009189723059535027, -0.027049068361520767, -0.05089005082845688, -0.031736161559820175, 0.10135442018508911, -0.0339711457490921, -0.003878677496686578, 0.10158564895391464, 0.08024638146162033, 0.03832988440990448, -0.04204162210226059, 0.03801965340971947, 0.03391318768262863, 0.011701282113790512, 0.04203592985868454, 0.004613758530467749, -0.11026915907859802, -0.125471830368042, -0.04571455344557762, 0.014646685682237148, 0.0341385118663311, 0.09407806396484375, 0.07389125972986221, -0.09168530255556107, -0.045086730271577835, -0.02827855944633484, 0.07360197603702545, 0.017320288345217705, -0.0735369622707367, -0.006665636319667101, 0.02534196712076664, 0.016564279794692993, -0.030932707712054253, 0.023719701915979385, 0.017089160159230232, -0.025159429758787155, -0.007378272712230682, 0.07787728309631348, -0.028370480984449387, 0.007937799207866192, 0.016156001016497612, 0.013291698880493641, 0.035709310322999954, 0.08822409808635712, -0.010133689269423485, 0.003377726534381509, -0.10628202557563782, 0.027804354205727577, 0.04311499372124672, 0.025745727121829987, 0.09018023312091827, -0.0015396953094750643, -0.06987597048282623, -0.021718211472034454, -0.006946463603526354, -0.021898385137319565, -0.013669785112142563, 0.08542689681053162, -0.016821440309286118, -0.044221729040145874, -0.004459675867110491, -0.007498204708099365, 0.004132300615310669, 0.0031762670259922743, -0.02058817818760872, 5.582123288337568e-33, 0.032469458878040314, 0.0037775891833007336, 0.0287680272012949, 0.03398100659251213, 0.04557362198829651, -0.03812171518802643, -0.030440008267760277, -0.052936676889657974, -0.05230293050408363, -0.009786490350961685, 0.03371909260749817, 0.06656725704669952, -0.013800687156617641, 0.043203458189964294, 0.09206251055002213, -0.08853031694889069, 0.07251454889774323, 0.02728019841015339, -0.015373683534562588, -0.005874937865883112, 0.040268007665872574, -0.07002940028905869, 0.011269484646618366, -0.05080319195985794, 0.06814195960760117, -0.005258687771856785, -0.05893349274992943, -0.06982165575027466, 0.1214040219783783, -0.004978274926543236, -0.05918646976351738, -0.03488388657569885, -0.011967029422521591, 0.08250553905963898, -0.0816861018538475, 0.02066977694630623, 0.016912708058953285, -0.06649059802293777, -0.0029851882718503475, 0.028862137347459793, 0.028649896383285522, -0.03946716710925102, -0.044755104929208755, -0.023484382778406143, -0.062870554625988, 0.006134580355137587, -0.022633085027337074, 0.03923443332314491, 0.029080282896757126, 0.001333441585302353, 0.018358558416366577, 0.014101363718509674, -0.027109310030937195, -0.02477460354566574, -0.02574419230222702, -0.01720069907605648, -0.007557617500424385, -0.014178134500980377, 0.02261211723089218, 0.10280726104974747, -0.006952877156436443, 0.007624361664056778, -0.007409624755382538, 0.10268274694681168, -0.009623081423342228, -0.053081806749105453, -0.02241481840610504, 0.040239378809928894, 0.064752958714962, 0.011662306264042854, -0.07007177919149399, 0.02740219607949257, -0.010206500999629498, -0.0022406657226383686, 0.054317720234394073, 0.00559253292158246, -0.01168573834002018, -0.09366758167743683, -0.034391116350889206, -0.10755360126495361, -0.09615887701511383, 0.046371590346097946, 0.018686987459659576, 0.027084631845355034, 0.09703491628170013, -0.09112255275249481, 0.020889578387141228, -0.03130439296364784, -0.032226093113422394, -0.03958280757069588, -0.12406066805124283, 0.02533544972538948, -0.03902966529130936, 0.06840036809444427, 0.046857379376888275, -5.3620773580193595e-33, -0.08186294138431549, -0.005811607465147972, 0.008487213402986526, 0.1130077987909317, 0.04635615274310112, -0.030469011515378952, -0.00828497763723135, -0.07827305793762207, 0.004932842217385769, 0.04882451891899109, -0.09052334725856781, -0.004870959557592869, -0.012826506048440933, -0.06700681149959564, 0.03707031160593033, -0.09598306566476822, 0.03965776786208153, -0.09181239455938339, -0.04995908588171005, 0.0017096743686124682, -0.007513290271162987, 0.052997130900621414, -0.07238975167274475, -0.023152394220232964, 0.0699915662407875, 0.012063349597156048, -0.016550006344914436, 0.012815059162676334, -0.037722598761320114, 0.11672469228506088, -0.11395036429166794, -0.02864387445151806, 0.0060868291184306145, -0.06914052367210388, 0.0026095188222825527, 0.08548557758331299, -0.029056619852781296, 0.04681902378797531, 0.0012615429004654288, 0.035663116723299026, -0.01917707733809948, -0.04367164894938469, -0.030787603929638863, 0.004572808742523193, 0.011527140624821186, 0.06238606199622154, -0.028928613290190697, 0.026419855654239655, -0.06369224935770035, 0.01396228838711977, 0.043494630604982376, 0.08274214714765549, -0.02826610952615738, 0.03921808674931526, 0.020418478175997734, -0.05278254300355911, -0.05858139321208, 0.01905123144388199, 0.029966237023472786, -0.030903227627277374, -0.02395840734243393, -0.013758398592472076, -0.014276490546762943, 0.05273989960551262, 0.009604162536561489, -0.028442811220884323, -0.03951302170753479, -0.11514446884393692, -0.05513761565089226, 0.030500086024403572, -0.04330018162727356, 0.05847429856657982, -0.02689538151025772, 0.024275409057736397, 0.029021399095654488, -0.0384674109518528, 0.041769251227378845, 0.09574151039123535, 0.03126094117760658, 0.04246854409575462, -0.054509762674570084, 0.026539430022239685, 0.05096584931015968, 0.05668238550424576, -0.03020336665213108, 0.005052446853369474, -0.00278702680952847, 0.04862726107239723, 0.031400345265865326, 0.09969675540924072, 0.04966309666633606, 0.04332520812749863, 0.04638480767607689, 0.007547248620539904, -0.090826116502285, -4.687720078777602e-8, -0.10062957555055618, 0.019140586256980896, 0.03929821774363518, 0.01559284795075655, 0.0759241059422493, 0.004115381743758917, 0.16220948100090027, 0.14786048233509064, -0.0459425114095211, 0.04416296258568764, 0.06501732021570206, 0.03568597882986069, 0.01837056130170822, 0.03425814211368561, -0.0514962263405323, 0.020201189443469048, 0.026378663256764412, -0.1114441454410553, -0.03042927198112011, 0.012450175359845161, -0.10222135484218597, 0.052461348474025726, -0.0400543175637722, 0.0484955757856369, -0.0027122923638671637, -0.1039646789431572, -0.03384131193161011, -0.04654407873749733, 0.045744821429252625, 0.03413976728916168, -0.04817047342658043, 0.049262337386608124, 0.07023142278194427, 0.11795572191476822, 0.01370052620768547, -0.05634228140115738, -0.01449264120310545, 0.07271422445774078, -0.05763302370905876, 0.029099933803081512, 0.049408867955207825, 0.018415667116642, -0.039293304085731506, -0.0252392515540123, 0.02838004194200039, 0.029746059328317642, -0.10252714902162552, 0.02160518988966942, -0.005958127323538065, -0.08260109275579453, -0.07025444507598877, -0.022106343880295753, -0.030383847653865814, -0.02348976768553257, 0.048715345561504364, 0.09348294883966446, 0.004324045963585377, -0.04504682496190071, 0.01755240000784397, 0.008825342170894146, -0.0035128386225551367, -0.03873245418071747, 0.018280217424035072, -0.0566730797290802 ]
null
null
null
null
null
null
null
[ -0.014374889433383942, 0.023650212213397026, 0.05599282681941986, -0.027625152841210365, -0.05348898470401764, -0.06664182990789413, -0.08224522322416306, -0.05004992336034775, -0.02384469471871853, 0.05388018116354942, -0.06913190335035324, -0.005995084531605244, -0.01206582598388195, 0.09876544028520584, 0.02375522069633007, 0.03877313807606697, 0.04708683863282204, 0.06703878939151764, -0.02821696363389492, -0.07611464709043503, -0.012307438999414444, -0.04526006430387497, -0.08031301200389862, -0.03689820319414139, 0.06933250278234482, -0.0030843608547002077, 0.020762935280799866, 0.03150801360607147, 0.05602255091071129, -0.030113516375422478, 0.01039090845733881, -0.00823859591037035, 0.050466056913137436, 0.03939543291926384, -0.04388049244880676, 0.05325289070606232, -0.044723834842443466, -0.05251237004995346, 0.0448823943734169, 0.057209864258766174, -0.009736098349094391, 0.03430283069610596, 0.023780714720487595, 0.05268680304288864, 0.011852524243295193, 0.011005530133843422, -0.031032996252179146, 0.024171257391572, -0.07262279838323593, 0.0047750151716172695, -0.04221383482217789, -0.04541991651058197, -0.05684971436858177, 0.03517429903149605, -0.002345617860555649, 0.023728132247924805, 0.016295433044433594, -0.03788260370492935, 0.02049463987350464, 0.04793107509613037, 0.050349798053503036, -0.10606090724468231, -0.009189723059535027, -0.027049068361520767, -0.05089005082845688, -0.031736161559820175, 0.10135442018508911, -0.0339711457490921, -0.003878677496686578, 0.10158564895391464, 0.08024638146162033, 0.03832988440990448, -0.04204162210226059, 0.03801965340971947, 0.03391318768262863, 0.011701282113790512, 0.04203592985868454, 0.004613758530467749, -0.11026915907859802, -0.125471830368042, -0.04571455344557762, 0.014646685682237148, 0.0341385118663311, 0.09407806396484375, 0.07389125972986221, -0.09168530255556107, -0.045086730271577835, -0.02827855944633484, 0.07360197603702545, 0.017320288345217705, -0.0735369622707367, -0.006665636319667101, 0.02534196712076664, 0.016564279794692993, -0.030932707712054253, 0.023719701915979385, 0.017089160159230232, -0.025159429758787155, -0.007378272712230682, 0.07787728309631348, -0.028370480984449387, 0.007937799207866192, 0.016156001016497612, 0.013291698880493641, 0.035709310322999954, 0.08822409808635712, -0.010133689269423485, 0.003377726534381509, -0.10628202557563782, 0.027804354205727577, 0.04311499372124672, 0.025745727121829987, 0.09018023312091827, -0.0015396953094750643, -0.06987597048282623, -0.021718211472034454, -0.006946463603526354, -0.021898385137319565, -0.013669785112142563, 0.08542689681053162, -0.016821440309286118, -0.044221729040145874, -0.004459675867110491, -0.007498204708099365, 0.004132300615310669, 0.0031762670259922743, -0.02058817818760872, 5.582123288337568e-33, 0.032469458878040314, 0.0037775891833007336, 0.0287680272012949, 0.03398100659251213, 0.04557362198829651, -0.03812171518802643, -0.030440008267760277, -0.052936676889657974, -0.05230293050408363, -0.009786490350961685, 0.03371909260749817, 0.06656725704669952, -0.013800687156617641, 0.043203458189964294, 0.09206251055002213, -0.08853031694889069, 0.07251454889774323, 0.02728019841015339, -0.015373683534562588, -0.005874937865883112, 0.040268007665872574, -0.07002940028905869, 0.011269484646618366, -0.05080319195985794, 0.06814195960760117, -0.005258687771856785, -0.05893349274992943, -0.06982165575027466, 0.1214040219783783, -0.004978274926543236, -0.05918646976351738, -0.03488388657569885, -0.011967029422521591, 0.08250553905963898, -0.0816861018538475, 0.02066977694630623, 0.016912708058953285, -0.06649059802293777, -0.0029851882718503475, 0.028862137347459793, 0.028649896383285522, -0.03946716710925102, -0.044755104929208755, -0.023484382778406143, -0.062870554625988, 0.006134580355137587, -0.022633085027337074, 0.03923443332314491, 0.029080282896757126, 0.001333441585302353, 0.018358558416366577, 0.014101363718509674, -0.027109310030937195, -0.02477460354566574, -0.02574419230222702, -0.01720069907605648, -0.007557617500424385, -0.014178134500980377, 0.02261211723089218, 0.10280726104974747, -0.006952877156436443, 0.007624361664056778, -0.007409624755382538, 0.10268274694681168, -0.009623081423342228, -0.053081806749105453, -0.02241481840610504, 0.040239378809928894, 0.064752958714962, 0.011662306264042854, -0.07007177919149399, 0.02740219607949257, -0.010206500999629498, -0.0022406657226383686, 0.054317720234394073, 0.00559253292158246, -0.01168573834002018, -0.09366758167743683, -0.034391116350889206, -0.10755360126495361, -0.09615887701511383, 0.046371590346097946, 0.018686987459659576, 0.027084631845355034, 0.09703491628170013, -0.09112255275249481, 0.020889578387141228, -0.03130439296364784, -0.032226093113422394, -0.03958280757069588, -0.12406066805124283, 0.02533544972538948, -0.03902966529130936, 0.06840036809444427, 0.046857379376888275, -5.3620773580193595e-33, -0.08186294138431549, -0.005811607465147972, 0.008487213402986526, 0.1130077987909317, 0.04635615274310112, -0.030469011515378952, -0.00828497763723135, -0.07827305793762207, 0.004932842217385769, 0.04882451891899109, -0.09052334725856781, -0.004870959557592869, -0.012826506048440933, -0.06700681149959564, 0.03707031160593033, -0.09598306566476822, 0.03965776786208153, -0.09181239455938339, -0.04995908588171005, 0.0017096743686124682, -0.007513290271162987, 0.052997130900621414, -0.07238975167274475, -0.023152394220232964, 0.0699915662407875, 0.012063349597156048, -0.016550006344914436, 0.012815059162676334, -0.037722598761320114, 0.11672469228506088, -0.11395036429166794, -0.02864387445151806, 0.0060868291184306145, -0.06914052367210388, 0.0026095188222825527, 0.08548557758331299, -0.029056619852781296, 0.04681902378797531, 0.0012615429004654288, 0.035663116723299026, -0.01917707733809948, -0.04367164894938469, -0.030787603929638863, 0.004572808742523193, 0.011527140624821186, 0.06238606199622154, -0.028928613290190697, 0.026419855654239655, -0.06369224935770035, 0.01396228838711977, 0.043494630604982376, 0.08274214714765549, -0.02826610952615738, 0.03921808674931526, 0.020418478175997734, -0.05278254300355911, -0.05858139321208, 0.01905123144388199, 0.029966237023472786, -0.030903227627277374, -0.02395840734243393, -0.013758398592472076, -0.014276490546762943, 0.05273989960551262, 0.009604162536561489, -0.028442811220884323, -0.03951302170753479, -0.11514446884393692, -0.05513761565089226, 0.030500086024403572, -0.04330018162727356, 0.05847429856657982, -0.02689538151025772, 0.024275409057736397, 0.029021399095654488, -0.0384674109518528, 0.041769251227378845, 0.09574151039123535, 0.03126094117760658, 0.04246854409575462, -0.054509762674570084, 0.026539430022239685, 0.05096584931015968, 0.05668238550424576, -0.03020336665213108, 0.005052446853369474, -0.00278702680952847, 0.04862726107239723, 0.031400345265865326, 0.09969675540924072, 0.04966309666633606, 0.04332520812749863, 0.04638480767607689, 0.007547248620539904, -0.090826116502285, -4.687720078777602e-8, -0.10062957555055618, 0.019140586256980896, 0.03929821774363518, 0.01559284795075655, 0.0759241059422493, 0.004115381743758917, 0.16220948100090027, 0.14786048233509064, -0.0459425114095211, 0.04416296258568764, 0.06501732021570206, 0.03568597882986069, 0.01837056130170822, 0.03425814211368561, -0.0514962263405323, 0.020201189443469048, 0.026378663256764412, -0.1114441454410553, -0.03042927198112011, 0.012450175359845161, -0.10222135484218597, 0.052461348474025726, -0.0400543175637722, 0.0484955757856369, -0.0027122923638671637, -0.1039646789431572, -0.03384131193161011, -0.04654407873749733, 0.045744821429252625, 0.03413976728916168, -0.04817047342658043, 0.049262337386608124, 0.07023142278194427, 0.11795572191476822, 0.01370052620768547, -0.05634228140115738, -0.01449264120310545, 0.07271422445774078, -0.05763302370905876, 0.029099933803081512, 0.049408867955207825, 0.018415667116642, -0.039293304085731506, -0.0252392515540123, 0.02838004194200039, 0.029746059328317642, -0.10252714902162552, 0.02160518988966942, -0.005958127323538065, -0.08260109275579453, -0.07025444507598877, -0.022106343880295753, -0.030383847653865814, -0.02348976768553257, 0.048715345561504364, 0.09348294883966446, 0.004324045963585377, -0.04504682496190071, 0.01755240000784397, 0.008825342170894146, -0.0035128386225551367, -0.03873245418071747, 0.018280217424035072, -0.0566730797290802 ]
1402.0410
Sergey Kuniavsky
Sergey Kuniavsky
Minimum Price in Search Model
null
null
null
null
cs.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper investigates the effects of a low bound price. To do so, a popular and empirically proven model (Stahl (89') \cite{Stahl89}) is used. The model is extended to include an exogenously given bound on prices sellers can offer, excluding prices below such bound. The finding are rather surprising - when the bound is set sufficiently high expected price offered (EPO) by sellers drops significantly. The result seem to be robust in the parameters of the model, and driven by the information provided to consumers by such legislation step: when the limitation is set at sufficiently high levels all consumers anticipate the bound price, and searchers reject any price above it. As a result sellers offer the bound price as a pure strategy.
[ { "created": "Mon, 3 Feb 2014 16:04:19 GMT", "version": "v1" } ]
2014-02-04
[ [ "Kuniavsky", "Sergey", "" ] ]
[ -0.03283487260341644, 0.04890329763293266, 0.037027791142463684, 0.0019548768177628517, -0.0016366546042263508, 0.029526198282837868, -0.02197878807783127, 0.12187214195728302, 0.07666334509849548, 0.010391311720013618, 0.007701805327087641, 0.06785345077514648, 0.07951093465089798, -0.04916936904191971, 0.06487595289945602, -0.05938340350985527, 0.07077810168266296, 0.012251528911292553, -0.08576130121946335, 0.031966689974069595, 0.006538631860166788, -0.046180687844753265, 0.013918299227952957, 0.007878433912992477, -0.04610670730471611, -0.12931783497333527, 0.0005301628261804581, -0.06621946394443512, 0.01708047091960907, -0.022284261882305145, -0.034661468118429184, -0.004149776883423328, 0.09348604828119278, 0.07086404412984848, 0.038781508803367615, -0.06648651510477066, -0.04253014922142029, -0.07608140259981155, -0.029241759330034256, 0.02966737188398838, -0.010163970291614532, 0.02510375902056694, -0.10387864708900452, 0.04788349196314812, 0.057687923312187195, -0.010822927579283714, 0.10974909365177155, 0.07290250808000565, -0.04487244039773941, 0.0030476374085992575, -0.04701415076851845, 0.02532728761434555, -0.009182902984321117, -0.042168814688920975, -0.0296341422945261, -0.054458342492580414, -0.0033071711659431458, -0.07444917410612106, 0.04373599961400032, 0.02826813980937004, 0.00774227362126112, -0.08843080699443817, -0.08914608508348465, -0.02153444103896618, 0.0661095678806305, -0.048604290932416916, 0.011818531900644302, 0.0023479359224438667, -0.14136742055416107, 0.08897069841623306, 0.046680860221385956, -0.0011223697802051902, 0.003333932487294078, 0.021466992795467377, 0.048521559685468674, -0.025782736018300056, 0.09422824531793594, -0.0610567182302475, -0.013675766065716743, 0.01793758012354374, -0.02730347029864788, -0.10022477805614471, -0.11605425924062729, -0.05861712247133255, -0.033168334513902664, -0.0728478878736496, 0.04784269258379936, -0.054313190281391144, 0.10219002515077591, -0.005093693733215332, 0.02973955124616623, -0.06851363182067871, -0.09384402632713318, 0.013344108127057552, 0.005167480558156967, 0.06842079013586044, 0.05067379027605057, -0.04850338026881218, -0.0034711884800344706, 0.038145147264003754, 0.032061733305454254, 0.06640057265758514, -0.008198782801628113, -0.028261860832571983, -0.00988598633557558, -0.10327523201704025, 0.00264189881272614, 0.028566623106598854, -0.027458803728222847, 0.05476294830441475, -0.052672285586595535, -0.022085323929786682, 0.007092638406902552, -0.03483587130904198, -0.007479023654013872, -0.004140985198318958, 0.013753226958215237, -0.009140564128756523, -0.03859918937087059, -0.04379564896225929, -0.04987407103180885, 0.026463784277439117, 0.07319280505180359, 0.02810049057006836, -0.008901302702724934, 0.07707113772630692, -0.06890173256397247, 2.088463527894518e-33, -0.03859070688486099, -0.05201162025332451, -0.0356881283223629, -0.054778411984443665, -0.012295310385525227, 0.06295313686132431, -0.007236465346068144, 0.004301613196730614, -0.0700438916683197, 0.1149391308426857, -0.030419938266277313, 0.00820021703839302, -0.0010896548628807068, 0.05496329069137573, 0.08059358596801758, -0.02097170799970627, 0.007341795135289431, 0.03135298937559128, 0.10580287873744965, 0.017417116090655327, -0.01985766924917698, -0.038022544234991074, 0.011877479963004589, 0.01607014611363411, -0.09771738946437836, -0.02427898533642292, -0.06023692712187767, 0.0034083081409335136, 0.11162663996219635, 0.009062211029231548, -0.02577320672571659, 0.03165370970964432, 0.07082045078277588, -0.017818352207541466, -0.0989612564444542, 0.021858513355255127, -0.0434282086789608, 0.011272544972598553, 0.018088139593601227, -0.0010424703359603882, -0.0728364884853363, 0.06337113678455353, 0.006049193441867828, 0.02607501484453678, -0.0480942539870739, -0.05226842686533928, -0.019979823380708694, -0.06854340434074402, -0.08408389985561371, 0.010385381989181042, -0.007095269858837128, 0.09250085055828094, 0.010025322437286377, 0.003923238720744848, -0.021543361246585846, -0.0193908903747797, -0.023779859766364098, -0.06518592685461044, -0.06589584052562714, -0.04687472805380821, -0.016034573316574097, 0.040128763765096664, 0.05323155224323273, 0.04155870899558067, -0.03687499463558197, 0.019613400101661682, -0.002710591536015272, -0.0649614930152893, -0.03062242828309536, 0.04465056583285332, 0.03379436209797859, -0.0559476874768734, 0.003484275657683611, -0.03709222003817558, -0.015008794143795967, -0.00260370341129601, 0.014893068000674248, 0.017404349520802498, 0.11331650614738464, -0.0467781201004982, 0.04945852607488632, -0.03383859992027283, 0.12143025547266006, 0.017255542799830437, -0.010007103905081749, -0.05150354281067848, -0.049290258437395096, -0.01873083971440792, 0.015768662095069885, -0.03355005756020546, -0.056861091405153275, 0.038701992481946945, -0.057571835815906525, 0.02382809855043888, 0.13631688058376312, -3.32142724651553e-33, 0.02921600639820099, 0.05060544237494469, -0.0023752711713314056, 0.03489314392209053, -0.0036318053025752306, -0.008339622989296913, -0.10962102562189102, -0.05274517461657524, 0.00007034467853372917, 0.00912658404558897, -0.06980782002210617, 0.049864139407873154, 0.04126942902803421, 0.056372497230768204, -0.0032074751798063517, -0.06771556288003922, 0.09590552002191544, -0.005904983263462782, 0.12304220348596573, -0.04666347801685333, -0.027322489768266678, 0.007976637221872807, -0.07037783414125443, 0.0645342469215393, 0.001443312969058752, 0.01611682027578354, -0.041571419686079025, 0.12096571922302246, -0.09142576903104782, -0.10310667753219604, -0.06605009734630585, -0.09060166776180267, 0.023397184908390045, -0.007299404591321945, 0.005562189966440201, 0.0391947366297245, -0.003958971705287695, 0.08837999403476715, -0.02708662487566471, 0.05031564459204674, 0.0018719197250902653, 0.000018365297364653088, 0.014079309068620205, -0.007325181271880865, 0.06861884891986847, -0.03204558789730072, 0.0398947112262249, 0.018891844898462296, 0.12056078016757965, 0.05045703426003456, 0.03619006276130676, 0.04406647011637688, 0.0460464246571064, 0.059029191732406616, -0.07808774709701538, -0.029760591685771942, -0.05799747630953789, 0.02358168736100197, 0.07542575895786285, 0.07000468671321869, 0.013028223998844624, 0.07391413301229477, -0.03812939673662186, 0.02843906357884407, 0.0038003558292984962, -0.006987877190113068, 0.035648081451654434, -0.0530548170208931, 0.029975423589348793, -0.06820432841777802, 0.034429918974637985, -0.07419057190418243, -0.018912972882390022, 0.0046706246212124825, -0.006034067831933498, 0.10708114504814148, -0.06832350790500641, 0.026084493845701218, 0.05597302317619324, -0.019765503704547882, -0.02686026506125927, 0.0879300981760025, 0.04278320446610451, 0.019087156280875206, -0.022861957550048828, -0.06946580857038498, -0.033446431159973145, 0.032346971333026886, -0.026403458788990974, 0.04621352627873421, -0.009806265123188496, 0.011113702319562435, 0.04682370647788048, -0.0197551678866148, -0.016655901446938515, -5.084419285594777e-8, 0.02094624936580658, -0.036752067506313324, 0.09601514786481857, 0.029937462881207466, 0.08412672579288483, 0.026738984510302544, 0.07517735660076141, 0.0026711744721978903, -0.01671786792576313, 0.02330613322556019, 0.029272010549902916, 0.04237127676606178, -0.023190688341856003, 0.055395085364580154, -0.025590742006897926, 0.04760372266173363, -0.036819830536842346, -0.016848236322402954, -0.033996935933828354, -0.01890457794070244, -0.04711608961224556, 0.10605274885892868, 0.07944291085004807, -0.10291970521211624, 0.06843142211437225, 0.0043162270449101925, -0.022319801151752472, 0.06962846964597702, -0.0435587540268898, 0.07460321485996246, -0.017783651128411293, -0.02012605033814907, -0.0074842763133347034, -0.017594076693058014, 0.01965952478349209, 0.01327155064791441, -0.082438625395298, -0.029309624806046486, -0.052931737154722214, -0.03043263405561447, 0.0064933206886053085, -0.002694508293643594, 0.011484585702419281, -0.01684791035950184, 0.04724792763590813, 0.005145689472556114, -0.053768500685691833, -0.016034217551350594, 0.0699460580945015, -0.044788360595703125, -0.002441476797685027, 0.031198471784591675, 0.012729433365166187, -0.02084304764866829, -0.03702528029680252, -0.036359962075948715, 0.019010169431567192, 0.017581041902303696, -0.039273712784051895, 0.0028095454908907413, 0.0394611619412899, -0.09375251829624176, -0.06840094923973083, 0.0029477893840521574 ]
null
null
null
null
null
null
null
[ -0.03283487260341644, 0.04890329763293266, 0.037027791142463684, 0.0019548768177628517, -0.0016366546042263508, 0.029526198282837868, -0.02197878807783127, 0.12187214195728302, 0.07666334509849548, 0.010391311720013618, 0.007701805327087641, 0.06785345077514648, 0.07951093465089798, -0.04916936904191971, 0.06487595289945602, -0.05938340350985527, 0.07077810168266296, 0.012251528911292553, -0.08576130121946335, 0.031966689974069595, 0.006538631860166788, -0.046180687844753265, 0.013918299227952957, 0.007878433912992477, -0.04610670730471611, -0.12931783497333527, 0.0005301628261804581, -0.06621946394443512, 0.01708047091960907, -0.022284261882305145, -0.034661468118429184, -0.004149776883423328, 0.09348604828119278, 0.07086404412984848, 0.038781508803367615, -0.06648651510477066, -0.04253014922142029, -0.07608140259981155, -0.029241759330034256, 0.02966737188398838, -0.010163970291614532, 0.02510375902056694, -0.10387864708900452, 0.04788349196314812, 0.057687923312187195, -0.010822927579283714, 0.10974909365177155, 0.07290250808000565, -0.04487244039773941, 0.0030476374085992575, -0.04701415076851845, 0.02532728761434555, -0.009182902984321117, -0.042168814688920975, -0.0296341422945261, -0.054458342492580414, -0.0033071711659431458, -0.07444917410612106, 0.04373599961400032, 0.02826813980937004, 0.00774227362126112, -0.08843080699443817, -0.08914608508348465, -0.02153444103896618, 0.0661095678806305, -0.048604290932416916, 0.011818531900644302, 0.0023479359224438667, -0.14136742055416107, 0.08897069841623306, 0.046680860221385956, -0.0011223697802051902, 0.003333932487294078, 0.021466992795467377, 0.048521559685468674, -0.025782736018300056, 0.09422824531793594, -0.0610567182302475, -0.013675766065716743, 0.01793758012354374, -0.02730347029864788, -0.10022477805614471, -0.11605425924062729, -0.05861712247133255, -0.033168334513902664, -0.0728478878736496, 0.04784269258379936, -0.054313190281391144, 0.10219002515077591, -0.005093693733215332, 0.02973955124616623, -0.06851363182067871, -0.09384402632713318, 0.013344108127057552, 0.005167480558156967, 0.06842079013586044, 0.05067379027605057, -0.04850338026881218, -0.0034711884800344706, 0.038145147264003754, 0.032061733305454254, 0.06640057265758514, -0.008198782801628113, -0.028261860832571983, -0.00988598633557558, -0.10327523201704025, 0.00264189881272614, 0.028566623106598854, -0.027458803728222847, 0.05476294830441475, -0.052672285586595535, -0.022085323929786682, 0.007092638406902552, -0.03483587130904198, -0.007479023654013872, -0.004140985198318958, 0.013753226958215237, -0.009140564128756523, -0.03859918937087059, -0.04379564896225929, -0.04987407103180885, 0.026463784277439117, 0.07319280505180359, 0.02810049057006836, -0.008901302702724934, 0.07707113772630692, -0.06890173256397247, 2.088463527894518e-33, -0.03859070688486099, -0.05201162025332451, -0.0356881283223629, -0.054778411984443665, -0.012295310385525227, 0.06295313686132431, -0.007236465346068144, 0.004301613196730614, -0.0700438916683197, 0.1149391308426857, -0.030419938266277313, 0.00820021703839302, -0.0010896548628807068, 0.05496329069137573, 0.08059358596801758, -0.02097170799970627, 0.007341795135289431, 0.03135298937559128, 0.10580287873744965, 0.017417116090655327, -0.01985766924917698, -0.038022544234991074, 0.011877479963004589, 0.01607014611363411, -0.09771738946437836, -0.02427898533642292, -0.06023692712187767, 0.0034083081409335136, 0.11162663996219635, 0.009062211029231548, -0.02577320672571659, 0.03165370970964432, 0.07082045078277588, -0.017818352207541466, -0.0989612564444542, 0.021858513355255127, -0.0434282086789608, 0.011272544972598553, 0.018088139593601227, -0.0010424703359603882, -0.0728364884853363, 0.06337113678455353, 0.006049193441867828, 0.02607501484453678, -0.0480942539870739, -0.05226842686533928, -0.019979823380708694, -0.06854340434074402, -0.08408389985561371, 0.010385381989181042, -0.007095269858837128, 0.09250085055828094, 0.010025322437286377, 0.003923238720744848, -0.021543361246585846, -0.0193908903747797, -0.023779859766364098, -0.06518592685461044, -0.06589584052562714, -0.04687472805380821, -0.016034573316574097, 0.040128763765096664, 0.05323155224323273, 0.04155870899558067, -0.03687499463558197, 0.019613400101661682, -0.002710591536015272, -0.0649614930152893, -0.03062242828309536, 0.04465056583285332, 0.03379436209797859, -0.0559476874768734, 0.003484275657683611, -0.03709222003817558, -0.015008794143795967, -0.00260370341129601, 0.014893068000674248, 0.017404349520802498, 0.11331650614738464, -0.0467781201004982, 0.04945852607488632, -0.03383859992027283, 0.12143025547266006, 0.017255542799830437, -0.010007103905081749, -0.05150354281067848, -0.049290258437395096, -0.01873083971440792, 0.015768662095069885, -0.03355005756020546, -0.056861091405153275, 0.038701992481946945, -0.057571835815906525, 0.02382809855043888, 0.13631688058376312, -3.32142724651553e-33, 0.02921600639820099, 0.05060544237494469, -0.0023752711713314056, 0.03489314392209053, -0.0036318053025752306, -0.008339622989296913, -0.10962102562189102, -0.05274517461657524, 0.00007034467853372917, 0.00912658404558897, -0.06980782002210617, 0.049864139407873154, 0.04126942902803421, 0.056372497230768204, -0.0032074751798063517, -0.06771556288003922, 0.09590552002191544, -0.005904983263462782, 0.12304220348596573, -0.04666347801685333, -0.027322489768266678, 0.007976637221872807, -0.07037783414125443, 0.0645342469215393, 0.001443312969058752, 0.01611682027578354, -0.041571419686079025, 0.12096571922302246, -0.09142576903104782, -0.10310667753219604, -0.06605009734630585, -0.09060166776180267, 0.023397184908390045, -0.007299404591321945, 0.005562189966440201, 0.0391947366297245, -0.003958971705287695, 0.08837999403476715, -0.02708662487566471, 0.05031564459204674, 0.0018719197250902653, 0.000018365297364653088, 0.014079309068620205, -0.007325181271880865, 0.06861884891986847, -0.03204558789730072, 0.0398947112262249, 0.018891844898462296, 0.12056078016757965, 0.05045703426003456, 0.03619006276130676, 0.04406647011637688, 0.0460464246571064, 0.059029191732406616, -0.07808774709701538, -0.029760591685771942, -0.05799747630953789, 0.02358168736100197, 0.07542575895786285, 0.07000468671321869, 0.013028223998844624, 0.07391413301229477, -0.03812939673662186, 0.02843906357884407, 0.0038003558292984962, -0.006987877190113068, 0.035648081451654434, -0.0530548170208931, 0.029975423589348793, -0.06820432841777802, 0.034429918974637985, -0.07419057190418243, -0.018912972882390022, 0.0046706246212124825, -0.006034067831933498, 0.10708114504814148, -0.06832350790500641, 0.026084493845701218, 0.05597302317619324, -0.019765503704547882, -0.02686026506125927, 0.0879300981760025, 0.04278320446610451, 0.019087156280875206, -0.022861957550048828, -0.06946580857038498, -0.033446431159973145, 0.032346971333026886, -0.026403458788990974, 0.04621352627873421, -0.009806265123188496, 0.011113702319562435, 0.04682370647788048, -0.0197551678866148, -0.016655901446938515, -5.084419285594777e-8, 0.02094624936580658, -0.036752067506313324, 0.09601514786481857, 0.029937462881207466, 0.08412672579288483, 0.026738984510302544, 0.07517735660076141, 0.0026711744721978903, -0.01671786792576313, 0.02330613322556019, 0.029272010549902916, 0.04237127676606178, -0.023190688341856003, 0.055395085364580154, -0.025590742006897926, 0.04760372266173363, -0.036819830536842346, -0.016848236322402954, -0.033996935933828354, -0.01890457794070244, -0.04711608961224556, 0.10605274885892868, 0.07944291085004807, -0.10291970521211624, 0.06843142211437225, 0.0043162270449101925, -0.022319801151752472, 0.06962846964597702, -0.0435587540268898, 0.07460321485996246, -0.017783651128411293, -0.02012605033814907, -0.0074842763133347034, -0.017594076693058014, 0.01965952478349209, 0.01327155064791441, -0.082438625395298, -0.029309624806046486, -0.052931737154722214, -0.03043263405561447, 0.0064933206886053085, -0.002694508293643594, 0.011484585702419281, -0.01684791035950184, 0.04724792763590813, 0.005145689472556114, -0.053768500685691833, -0.016034217551350594, 0.0699460580945015, -0.044788360595703125, -0.002441476797685027, 0.031198471784591675, 0.012729433365166187, -0.02084304764866829, -0.03702528029680252, -0.036359962075948715, 0.019010169431567192, 0.017581041902303696, -0.039273712784051895, 0.0028095454908907413, 0.0394611619412899, -0.09375251829624176, -0.06840094923973083, 0.0029477893840521574 ]
1402.0412
Thomas Steiner
Thomas Steiner
Bots vs. Wikipedians, Anons vs. Logged-Ins
Poster at the Web Science Track of the 23rd International World Wide Web Conference (WWW2014), Seoul, Korea
null
10.1145/2567948.2576948
null
cs.DL cs.CY cs.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Wikipedia is a global crowdsourced encyclopedia that at time of writing is available in 287 languages. Wikidata is a likewise global crowdsourced knowledge base that provides shared facts to be used by Wikipedias. In the context of this research, we have developed an application and an underlying Application Programming Interface (API) capable of monitoring realtime edit activity of all language versions of Wikipedia and Wikidata. This application allows us to easily analyze edits in order to answer questions such as "Bots vs. Wikipedians, who edits more?", "Which is the most anonymously edited Wikipedia?", or "Who are the bots and what do they edit?". To the best of our knowledge, this is the first time such an analysis could be done in realtime for Wikidata and for really all Wikipedias--large and small. Our application is available publicly online at the URL http://wikipedia-edits.herokuapp.com/, its code has been open-sourced under the Apache 2.0 license.
[ { "created": "Mon, 3 Feb 2014 16:08:25 GMT", "version": "v1" }, { "created": "Wed, 5 Feb 2014 08:42:32 GMT", "version": "v2" } ]
2014-02-06
[ [ "Steiner", "Thomas", "" ] ]
[ -0.07208174467086792, -0.02701561152935028, -0.05291878804564476, 0.02799205109477043, 0.036954984068870544, -0.04923415929079056, -0.02872462011873722, 0.03283115476369858, 0.05355028063058853, 0.07955096662044525, 0.006338001228868961, 0.01360042579472065, 0.05926591902971268, 0.01218432281166315, -0.035791151225566864, 0.01746106706559658, 0.010182300582528114, 0.008823595009744167, -0.08247530460357666, -0.12969334423542023, 0.02218354307115078, 0.029965657740831375, 0.07397408038377762, 0.011708645150065422, 0.04567375034093857, -0.02854204922914505, 0.030561713501811028, -0.03773722052574158, 0.021699095144867897, 0.017022553831338882, -0.05362871289253235, -0.023177217692136765, 0.032598480582237244, 0.011760170571506023, -0.03702528402209282, 0.03651861473917961, 0.005717290099710226, 0.01065928302705288, 0.048838526010513306, -0.0017256956780329347, -0.023454444482922554, -0.04045850411057472, -0.04922179505228996, 0.03440907970070839, 0.0014085512375459075, 0.06868765503168106, -0.0418807752430439, -0.0023300626780837774, -0.04906042292714119, 0.07753457129001617, -0.05184086784720421, -0.03576267138123512, 0.06940532475709915, -0.04749796912074089, -0.05065680295228958, -0.0843745544552803, -0.06702176481485367, -0.006379312835633755, 0.019426517188549042, -0.05380013585090637, 0.04425695165991783, -0.016133321449160576, 0.0007047323160804808, 0.04822966083884239, -0.03484908118844032, -0.008561692200601101, 0.014950072392821312, 0.06657318025827408, 0.08338461071252823, -0.12959878146648407, -0.03061324916779995, 0.10246482491493225, -0.023443754762411118, 0.027224773541092873, -0.0807580053806305, -0.05637827888131142, -0.02182808332145214, -0.005534675437957048, -0.07998567074537277, -0.08168957382440567, 0.08365464955568314, 0.012674381025135517, 0.059625815600156784, 0.04824887216091156, 0.058010753244161606, -0.00579117750748992, 0.04875144734978676, 0.08668971806764603, 0.003881265874952078, 0.0874800980091095, -0.04335528239607811, -0.05191093683242798, 0.16869497299194336, -0.05714757367968559, 0.01136280968785286, 0.025923656299710274, 0.06691928207874298, -0.003533546580001712, 0.02776053175330162, 0.09624036401510239, 0.01598030887544155, 0.03361460193991661, -0.06604443490505219, -0.047745294868946075, 0.03678157925605774, -0.011030816473066807, -0.014983768574893475, 0.014031074941158295, 0.042013414204120636, -0.0018464145250618458, -0.05032502859830856, 0.0015435812529176474, -0.0068979342468082905, -0.08067198097705841, 0.034333497285842896, -0.023086892440915108, 0.08559466898441315, 0.04772068187594414, -0.012549551203846931, 0.03424511477351189, 0.02004528045654297, 0.01783396489918232, 0.030479205772280693, 0.013339312747120857, 0.11193253099918365, 0.005735374521464109, -0.04103672504425049, 3.990404020304371e-33, 0.12606589496135712, 0.04484955966472626, 0.007084885612130165, 0.012269609607756138, -0.09467657655477524, -0.026792317628860474, -0.013926689513027668, -0.01955229602754116, -0.06320252269506454, -0.09052563458681107, -0.0007600390235893428, 0.08021566271781921, 0.00790522713214159, -0.03608756139874458, 0.0060947793535888195, 0.08515534549951553, -0.04299405962228775, 0.0651501938700676, 0.010123922489583492, 0.03637652099132538, 0.06345706433057785, -0.04419974237680435, 0.015627769753336906, 0.0314500667154789, -0.00039805180858820677, -0.022409796714782715, 0.0017513835337013006, -0.032361797988414764, 0.05838171765208244, 0.0030535422265529633, 0.011711856350302696, -0.06753796339035034, -0.09691096097230911, 0.053034707903862, 0.031852662563323975, -0.07478950172662735, 0.004877876956015825, -0.08116275817155838, 0.023761512711644173, -0.05691405013203621, -0.037459827959537506, -0.010927291586995125, -0.046518828719854355, -0.07526198029518127, -0.05947874113917351, 0.07009530812501907, -0.04346982017159462, -0.0007330570952035487, 0.03760624676942825, -0.05441414937376976, 0.020840223878622055, 0.11944998055696487, 0.012457204982638359, 0.04362637922167778, -0.0038864624220877886, 0.038427166640758514, 0.08715232461690903, -0.051520731300115585, 0.00036339095095172524, 0.05446089431643486, 0.03675192594528198, 0.05962343141436577, -0.014525593258440495, 0.023210911080241203, 0.013332678936421871, 0.04302353784441948, 0.01242663525044918, 0.04725935682654381, 0.050146814435720444, -0.013733740895986557, -0.004767594859004021, 0.01339440606534481, -0.031093189492821693, 0.05862356349825859, -0.06306149065494537, -0.016088828444480896, -0.008493590168654919, -0.06406839936971664, -0.022791659459471703, 0.0554230622947216, 0.07503051310777664, -0.11276497691869736, 0.04348953440785408, -0.08730632066726685, -0.031279683113098145, 0.013843326829373837, -0.013733221217989922, -0.006370266899466515, 0.04184738174080849, 0.03335772082209587, 0.041432883590459824, -0.03143621236085892, -0.06581739336252213, -0.014735926873981953, -0.03678416833281517, -3.5354700741208835e-33, -0.10717225074768066, -0.06468211114406586, 0.016750851646065712, 0.057017382234334946, -0.039401594549417496, -0.06071414053440094, -0.10933968424797058, 0.05025383457541466, 0.04665381833910942, -0.0001566456921864301, -0.033291157335042953, -0.09578306972980499, -0.03162073716521263, 0.04310052469372749, 0.0023274756968021393, 0.003306518541648984, 0.009704416617751122, -0.056339580565690994, -0.03701142221689224, 0.08415254950523376, -0.04878588765859604, 0.004387255292385817, -0.016383295878767967, -0.01383021380752325, -0.0015973785193637013, 0.0027735682670027018, -0.01572413183748722, -0.007540758233517408, -0.014209586195647717, -0.014691942371428013, -0.10712406784296036, 0.004124810919165611, -0.04099443927407265, -0.1094374805688858, -0.0671108290553093, -0.0803728923201561, 0.019486209377646446, -0.04496445134282112, -0.01240171305835247, 0.011607788503170013, 0.10177753120660782, 0.04686347395181656, -0.02734478749334812, -0.10153259336948395, -0.0662718415260315, 0.03586570918560028, -0.2188340127468109, 0.06048847734928131, -0.0353078655898571, -0.022642232477664948, 0.04504542425274849, 0.003581013297662139, 0.006965334061533213, -0.03848584368824959, 0.07128405570983887, -0.03141031414270401, -0.0013500700006261468, 0.010347927920520306, 0.02908196859061718, 0.00732400780543685, -0.03915178403258324, -0.027066297829151154, -0.09528833627700806, 0.11504055559635162, 0.02249152585864067, 0.018220439553260803, 0.004811796825379133, 0.05510526895523071, -0.08078338205814362, -0.006081503350287676, 0.13848187029361725, -0.07875607162714005, 0.022825414314866066, -0.03394879773259163, 0.06703121960163116, 0.008408856578171253, 0.05384325236082077, -0.020629607141017914, 0.0370064415037632, -0.04455021768808365, 0.02927776239812374, -0.003720600623637438, 0.09916483610868454, -0.04940328374505043, 0.030142012983560562, 0.043654873967170715, 0.017145764082670212, 0.05055798590183258, -0.03533824905753136, 0.026635147631168365, -0.019202930852770805, 0.012398496270179749, -0.021832101047039032, 0.04608968645334244, -0.02291148528456688, -4.855217028421066e-8, -0.012248354963958263, 0.0007804952911101282, -0.05974658206105232, 0.09051500260829926, -0.009549489244818687, -0.026987655088305473, 0.02817121520638466, 0.04536047577857971, -0.012062172405421734, 0.02093280851840973, 0.04419366270303726, 0.017794255167245865, -0.03795028105378151, -0.030001096427440643, -0.012920314446091652, 0.04001402482390404, 0.015351486392319202, 0.05949215218424797, 0.015521524474024773, -0.04610592499375343, 0.04178253561258316, 0.03222358226776123, 0.010515302419662476, -0.006090562324970961, 0.023503728210926056, 0.006605697330087423, 0.0014223860343918204, 0.038972724229097366, 0.0032961375545710325, -0.08612041920423508, -0.08803469687700272, -0.03756825625896454, -0.021923108026385307, -0.026580126956105232, 0.08015673607587814, 0.055396802723407745, -0.08402134478092194, 0.0030022773426026106, -0.05243048816919327, 0.05622095242142677, 0.04298173263669014, 0.04299023374915123, -0.03461061045527458, 0.04653162136673927, 0.07295367121696472, -0.022402828559279442, -0.02889692783355713, -0.06737612187862396, 0.0824318379163742, -0.12579627335071564, 0.005493891891092062, -0.059711214154958725, 0.08674049377441406, 0.0012490936787799, -0.007700187619775534, 0.07046037167310715, -0.02345101907849312, 0.02818632870912552, 0.009243288077414036, 0.026110978797078133, 0.033207256346940994, 0.014453607611358166, 0.004928297828882933, 0.011291312985122204 ]
null
null
null
null
null
null
null
[ -0.07208174467086792, -0.02701561152935028, -0.05291878804564476, 0.02799205109477043, 0.036954984068870544, -0.04923415929079056, -0.02872462011873722, 0.03283115476369858, 0.05355028063058853, 0.07955096662044525, 0.006338001228868961, 0.01360042579472065, 0.05926591902971268, 0.01218432281166315, -0.035791151225566864, 0.01746106706559658, 0.010182300582528114, 0.008823595009744167, -0.08247530460357666, -0.12969334423542023, 0.02218354307115078, 0.029965657740831375, 0.07397408038377762, 0.011708645150065422, 0.04567375034093857, -0.02854204922914505, 0.030561713501811028, -0.03773722052574158, 0.021699095144867897, 0.017022553831338882, -0.05362871289253235, -0.023177217692136765, 0.032598480582237244, 0.011760170571506023, -0.03702528402209282, 0.03651861473917961, 0.005717290099710226, 0.01065928302705288, 0.048838526010513306, -0.0017256956780329347, -0.023454444482922554, -0.04045850411057472, -0.04922179505228996, 0.03440907970070839, 0.0014085512375459075, 0.06868765503168106, -0.0418807752430439, -0.0023300626780837774, -0.04906042292714119, 0.07753457129001617, -0.05184086784720421, -0.03576267138123512, 0.06940532475709915, -0.04749796912074089, -0.05065680295228958, -0.0843745544552803, -0.06702176481485367, -0.006379312835633755, 0.019426517188549042, -0.05380013585090637, 0.04425695165991783, -0.016133321449160576, 0.0007047323160804808, 0.04822966083884239, -0.03484908118844032, -0.008561692200601101, 0.014950072392821312, 0.06657318025827408, 0.08338461071252823, -0.12959878146648407, -0.03061324916779995, 0.10246482491493225, -0.023443754762411118, 0.027224773541092873, -0.0807580053806305, -0.05637827888131142, -0.02182808332145214, -0.005534675437957048, -0.07998567074537277, -0.08168957382440567, 0.08365464955568314, 0.012674381025135517, 0.059625815600156784, 0.04824887216091156, 0.058010753244161606, -0.00579117750748992, 0.04875144734978676, 0.08668971806764603, 0.003881265874952078, 0.0874800980091095, -0.04335528239607811, -0.05191093683242798, 0.16869497299194336, -0.05714757367968559, 0.01136280968785286, 0.025923656299710274, 0.06691928207874298, -0.003533546580001712, 0.02776053175330162, 0.09624036401510239, 0.01598030887544155, 0.03361460193991661, -0.06604443490505219, -0.047745294868946075, 0.03678157925605774, -0.011030816473066807, -0.014983768574893475, 0.014031074941158295, 0.042013414204120636, -0.0018464145250618458, -0.05032502859830856, 0.0015435812529176474, -0.0068979342468082905, -0.08067198097705841, 0.034333497285842896, -0.023086892440915108, 0.08559466898441315, 0.04772068187594414, -0.012549551203846931, 0.03424511477351189, 0.02004528045654297, 0.01783396489918232, 0.030479205772280693, 0.013339312747120857, 0.11193253099918365, 0.005735374521464109, -0.04103672504425049, 3.990404020304371e-33, 0.12606589496135712, 0.04484955966472626, 0.007084885612130165, 0.012269609607756138, -0.09467657655477524, -0.026792317628860474, -0.013926689513027668, -0.01955229602754116, -0.06320252269506454, -0.09052563458681107, -0.0007600390235893428, 0.08021566271781921, 0.00790522713214159, -0.03608756139874458, 0.0060947793535888195, 0.08515534549951553, -0.04299405962228775, 0.0651501938700676, 0.010123922489583492, 0.03637652099132538, 0.06345706433057785, -0.04419974237680435, 0.015627769753336906, 0.0314500667154789, -0.00039805180858820677, -0.022409796714782715, 0.0017513835337013006, -0.032361797988414764, 0.05838171765208244, 0.0030535422265529633, 0.011711856350302696, -0.06753796339035034, -0.09691096097230911, 0.053034707903862, 0.031852662563323975, -0.07478950172662735, 0.004877876956015825, -0.08116275817155838, 0.023761512711644173, -0.05691405013203621, -0.037459827959537506, -0.010927291586995125, -0.046518828719854355, -0.07526198029518127, -0.05947874113917351, 0.07009530812501907, -0.04346982017159462, -0.0007330570952035487, 0.03760624676942825, -0.05441414937376976, 0.020840223878622055, 0.11944998055696487, 0.012457204982638359, 0.04362637922167778, -0.0038864624220877886, 0.038427166640758514, 0.08715232461690903, -0.051520731300115585, 0.00036339095095172524, 0.05446089431643486, 0.03675192594528198, 0.05962343141436577, -0.014525593258440495, 0.023210911080241203, 0.013332678936421871, 0.04302353784441948, 0.01242663525044918, 0.04725935682654381, 0.050146814435720444, -0.013733740895986557, -0.004767594859004021, 0.01339440606534481, -0.031093189492821693, 0.05862356349825859, -0.06306149065494537, -0.016088828444480896, -0.008493590168654919, -0.06406839936971664, -0.022791659459471703, 0.0554230622947216, 0.07503051310777664, -0.11276497691869736, 0.04348953440785408, -0.08730632066726685, -0.031279683113098145, 0.013843326829373837, -0.013733221217989922, -0.006370266899466515, 0.04184738174080849, 0.03335772082209587, 0.041432883590459824, -0.03143621236085892, -0.06581739336252213, -0.014735926873981953, -0.03678416833281517, -3.5354700741208835e-33, -0.10717225074768066, -0.06468211114406586, 0.016750851646065712, 0.057017382234334946, -0.039401594549417496, -0.06071414053440094, -0.10933968424797058, 0.05025383457541466, 0.04665381833910942, -0.0001566456921864301, -0.033291157335042953, -0.09578306972980499, -0.03162073716521263, 0.04310052469372749, 0.0023274756968021393, 0.003306518541648984, 0.009704416617751122, -0.056339580565690994, -0.03701142221689224, 0.08415254950523376, -0.04878588765859604, 0.004387255292385817, -0.016383295878767967, -0.01383021380752325, -0.0015973785193637013, 0.0027735682670027018, -0.01572413183748722, -0.007540758233517408, -0.014209586195647717, -0.014691942371428013, -0.10712406784296036, 0.004124810919165611, -0.04099443927407265, -0.1094374805688858, -0.0671108290553093, -0.0803728923201561, 0.019486209377646446, -0.04496445134282112, -0.01240171305835247, 0.011607788503170013, 0.10177753120660782, 0.04686347395181656, -0.02734478749334812, -0.10153259336948395, -0.0662718415260315, 0.03586570918560028, -0.2188340127468109, 0.06048847734928131, -0.0353078655898571, -0.022642232477664948, 0.04504542425274849, 0.003581013297662139, 0.006965334061533213, -0.03848584368824959, 0.07128405570983887, -0.03141031414270401, -0.0013500700006261468, 0.010347927920520306, 0.02908196859061718, 0.00732400780543685, -0.03915178403258324, -0.027066297829151154, -0.09528833627700806, 0.11504055559635162, 0.02249152585864067, 0.018220439553260803, 0.004811796825379133, 0.05510526895523071, -0.08078338205814362, -0.006081503350287676, 0.13848187029361725, -0.07875607162714005, 0.022825414314866066, -0.03394879773259163, 0.06703121960163116, 0.008408856578171253, 0.05384325236082077, -0.020629607141017914, 0.0370064415037632, -0.04455021768808365, 0.02927776239812374, -0.003720600623637438, 0.09916483610868454, -0.04940328374505043, 0.030142012983560562, 0.043654873967170715, 0.017145764082670212, 0.05055798590183258, -0.03533824905753136, 0.026635147631168365, -0.019202930852770805, 0.012398496270179749, -0.021832101047039032, 0.04608968645334244, -0.02291148528456688, -4.855217028421066e-8, -0.012248354963958263, 0.0007804952911101282, -0.05974658206105232, 0.09051500260829926, -0.009549489244818687, -0.026987655088305473, 0.02817121520638466, 0.04536047577857971, -0.012062172405421734, 0.02093280851840973, 0.04419366270303726, 0.017794255167245865, -0.03795028105378151, -0.030001096427440643, -0.012920314446091652, 0.04001402482390404, 0.015351486392319202, 0.05949215218424797, 0.015521524474024773, -0.04610592499375343, 0.04178253561258316, 0.03222358226776123, 0.010515302419662476, -0.006090562324970961, 0.023503728210926056, 0.006605697330087423, 0.0014223860343918204, 0.038972724229097366, 0.0032961375545710325, -0.08612041920423508, -0.08803469687700272, -0.03756825625896454, -0.021923108026385307, -0.026580126956105232, 0.08015673607587814, 0.055396802723407745, -0.08402134478092194, 0.0030022773426026106, -0.05243048816919327, 0.05622095242142677, 0.04298173263669014, 0.04299023374915123, -0.03461061045527458, 0.04653162136673927, 0.07295367121696472, -0.022402828559279442, -0.02889692783355713, -0.06737612187862396, 0.0824318379163742, -0.12579627335071564, 0.005493891891092062, -0.059711214154958725, 0.08674049377441406, 0.0012490936787799, -0.007700187619775534, 0.07046037167310715, -0.02345101907849312, 0.02818632870912552, 0.009243288077414036, 0.026110978797078133, 0.033207256346940994, 0.014453607611358166, 0.004928297828882933, 0.011291312985122204 ]
1402.0415
Eleonora Alfinito Dr.
E Alfinito, J Pousset, L Reggiani
Investigations on the electrical current-voltage response in protein light receptors
4 pages, 3 figures To be published in J Phys. C: Conf Ser. Proceeding of the Conference IC-MCSQUARE, PRAGUE 2013
null
null
null
physics.bio-ph cond-mat.soft
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We report a theoretical/computational approach for modeling the current-voltage characteristics of sensing proteins. The modeling is applied to a couple of transmembrane proteins, bacteriorhodopsin and proteorhodopsin, sensitive to visible light and promising biomaterials for the development of a new generation of photo-transducers. The agreement between theory and experiments sheds new light on the microscopic interpretation of charge transfer in proteins and biological materials in general.
[ { "created": "Mon, 3 Feb 2014 16:21:32 GMT", "version": "v1" } ]
2014-02-04
[ [ "Alfinito", "E", "" ], [ "Pousset", "J", "" ], [ "Reggiani", "L", "" ] ]
[ -0.10561587661504745, -0.025989104062318802, 0.001257284078747034, 0.032000210136175156, 0.05929233133792877, -0.018568433821201324, 0.10780108720064163, 0.10835331678390503, 0.007544743362814188, 0.08133295923471451, 0.0214526429772377, -0.06900133192539215, -0.006809900980442762, 0.14439469575881958, 0.0055242846719920635, -0.005056869704276323, -0.0007460185443051159, 0.05018051713705063, 0.014516470022499561, -0.003709969576448202, 0.017544738948345184, -0.001348125166259706, 0.013758731074631214, -0.07145743072032928, -0.020306428894400597, -0.023210858926177025, 0.034355152398347855, -0.06740263849496841, -0.07349979132413864, -0.029409535229206085, -0.022129451856017113, -0.08175913244485855, -0.08492026478052139, -0.022657038643956184, 0.06773069500923157, 0.06522229313850403, 0.00016663428687024862, -0.11869189888238907, 0.006221839226782322, -0.02251100167632103, 0.07692036777734756, 0.04674239829182625, 0.012227790430188179, -0.052611302584409714, 0.06018872931599617, 0.05529898405075073, 0.10018274188041687, 0.0071834782138466835, 0.029416531324386597, -0.02796122618019581, 0.04000568017363548, -0.05799547955393791, 0.050628773868083954, 0.026310106739401817, -0.023388689383864403, -0.00966029055416584, -0.030408352613449097, -0.03430160507559776, -0.033632636070251465, -0.08370769023895264, -0.008701269514858723, 0.015196696855127811, 0.06614582985639572, -0.038412127643823624, 0.01370528619736433, -0.017992131412029266, 0.040446143597364426, 0.04544880986213684, 0.03924962505698204, -0.015964269638061523, -0.053459107875823975, 0.09133577346801758, 0.011728702113032341, -0.028835728764533997, 0.023195166140794754, -0.06254314631223679, -0.03362330049276352, 0.10307393968105316, 0.012344954535365105, -0.06293240934610367, 0.03900591656565666, -0.04910748079419136, -0.07815089821815491, 0.07300512492656708, 0.05216164141893387, 0.022245295345783234, 0.05663461610674858, -0.017507830634713173, -0.06834784150123596, -0.024849729612469673, 0.0201615821570158, -0.05922377109527588, -0.03379293531179428, -0.028085459023714066, -0.16533522307872772, -0.015155229717493057, -0.0013324572937563062, -0.015670491382479668, 0.009678979404270649, -0.019137654453516006, -0.016492212191224098, 0.02982191927731037, -0.004457221366465092, -0.01378058735281229, 0.10094758123159409, -0.0341808944940567, 0.004409470595419407, 0.08589821308851242, 0.04046865180134773, 0.014309191145002842, 0.11015167087316513, 0.02927844040095806, 0.026805566623806953, -0.013467684388160706, 0.08629180490970612, 0.06454886496067047, -0.039989423006772995, 0.05815853551030159, -0.01914600469172001, -0.009486204013228416, 0.019544953480362892, 0.012776793912053108, -0.06785005331039429, 0.03310273587703705, -0.050964709371328354, 0.04746059328317642, 0.009439988993108273, -3.500377435151511e-34, 0.0475349985063076, 0.002633923664689064, 0.05065620690584183, 0.016737358644604683, -0.004713777918368578, -0.08598337322473526, 0.012066647410392761, 0.011794449761509895, -0.03063877485692501, 0.000847396207973361, -0.06048602610826492, 0.010425047017633915, 0.062355365604162216, 0.08528339117765427, 0.01386972889304161, -0.039303798228502274, -0.039105404168367386, -0.0310733113437891, 0.11784123629331589, 0.07630622386932373, -0.04283487796783447, 0.0421634167432785, 0.06280635297298431, 0.05811452120542526, 0.03155745193362236, 0.03898110240697861, -0.05022220313549042, 0.02356048859655857, -0.041859935969114304, -0.048190679401159286, 0.004358118399977684, 0.05440402776002884, 0.011901645921170712, 0.04432531073689461, 0.00822523795068264, -0.00891057774424553, 0.08806028217077255, -0.04965944215655327, 0.04703207314014435, -0.09310394525527954, 0.048228975385427475, -0.011579101905226707, 0.047430381178855896, -0.004599901847541332, 0.0480974055826664, 0.026542888954281807, -0.038345906883478165, -0.021537482738494873, -0.007853280752897263, 0.023951638489961624, 0.015807341784238815, -0.12298804521560669, 0.031151488423347473, -0.03151756152510643, -0.008615605533123016, 0.008800618350505829, -0.05659716576337814, -0.009905724786221981, 0.05613386258482933, 0.006743837147951126, -0.007000853773206472, 0.032107409089803696, 0.05444294586777687, -0.022554580122232437, -0.00760955736041069, 0.06149604916572571, -0.07134919613599777, -0.013948853127658367, -0.06081266701221466, -0.013264925219118595, -0.047283995896577835, 0.07702405750751495, -0.03276629000902176, -0.04797011613845825, 0.025593740865588188, 0.09381936490535736, -0.043897055089473724, -0.005333555396646261, 0.06297101825475693, 0.034968167543411255, -0.04241809621453285, 0.0016618933295831084, -0.04133893921971321, -0.05309518799185753, -0.07423465698957443, 0.02780630998313427, 0.0890716090798378, -0.02647218108177185, -0.04949178919196129, -0.023714913055300713, 0.03434021770954132, 0.050548214465379715, 0.040045883506536484, -0.0422222763299942, -0.07541794329881668, -1.9990949168343228e-33, 0.08173932880163193, -0.03257960081100464, 0.03208528831601143, -0.011830072849988937, -0.022097500041127205, -0.06545711308717728, -0.006534601096063852, 0.05840666964650154, 0.013315909542143345, 0.006773106753826141, 0.06868314743041992, 0.0010010558180510998, -0.03414212167263031, 0.03152501955628395, 0.021883465349674225, 0.04838469624519348, -0.08943287283182144, -0.03521205112338066, 0.0732683539390564, -0.038977235555648804, -0.13558515906333923, 0.05148933827877045, 0.035987790673971176, 0.060791101306676865, 0.01837710477411747, 0.037492621690034866, -0.024079257622361183, -0.05933632329106331, -0.05970262736082077, 0.007984021678566933, -0.09730307757854462, -0.007461229804903269, -0.020348794758319855, 0.01646912842988968, -0.02011953666806221, 0.02083750255405903, 0.005860663950443268, -0.023500502109527588, 0.08790261298418045, 0.0012467700289562345, 0.03624684363603592, -0.0010744394967332482, -0.05870668217539787, -0.0022362167946994305, -0.047435205429792404, 0.05171458050608635, -0.06941115111112595, -0.04742688685655594, -0.018456418067216873, -0.0014617012348026037, -0.004284311085939407, -0.007964275777339935, -0.007567811757326126, -0.025536632165312767, -0.07564174383878708, 0.053926970809698105, -0.04957495629787445, 0.05987590551376343, 0.05904869735240936, 0.032498836517333984, -0.008986045606434345, -0.07942304760217667, 0.06092189624905586, -0.03620936721563339, -0.07765506953001022, 0.046985797584056854, 0.020728275179862976, -0.010482730343937874, 0.05174070969223976, -0.048702485859394073, 0.06415151059627533, 0.0228479765355587, 0.06819819658994675, 0.009777666069567204, -0.0129404840990901, -0.07682418078184128, -0.06649033725261688, -0.012939454056322575, -0.059465087950229645, -0.012653160840272903, 0.037634946405887604, 0.023129675537347794, -0.04959293082356453, -0.09950541704893112, 0.06034523993730545, -0.006742782425135374, -0.02610376663506031, -0.03360646218061447, -0.010045254603028297, -0.02364647388458252, 0.014898501336574554, 0.026531917974352837, 0.05718563124537468, 0.03148304671049118, 0.018405403941869736, -3.669183712418089e-8, 0.047176968306303024, 0.0783899649977684, 0.07491274923086166, -0.11161338537931442, 0.031936753541231155, 0.05437120795249939, -0.014369704760611057, -0.07102197408676147, -0.0397765077650547, -0.0057653458788990974, 0.032035939395427704, -0.01030957791954279, -0.029010651633143425, -0.019437039270997047, 0.019736643880605698, 0.10557742416858673, -0.04593299701809883, -0.08851184695959091, -0.04080797731876373, -0.029927045106887817, -0.05277913808822632, -0.0058153411373496056, -0.08723776042461395, 0.05908181518316269, 0.06615404784679413, -0.0025107096880674362, 0.041591864079236984, -0.07943113893270493, 0.05105210840702057, -0.045238181948661804, 0.009491235949099064, 0.028257839381694794, 0.007097973488271236, 0.07531934976577759, 0.06260564923286438, -0.018235718831419945, -0.08749300986528397, -0.05988740548491478, -0.0718311220407486, 0.07204245030879974, -0.1315697580575943, -0.004131515510380268, -0.0881768986582756, -0.04802809655666351, -0.0511360801756382, -0.02610042132437229, 0.11998075246810913, 0.04255377873778343, -0.1255774050951004, 0.0979703739285469, 0.026639876887202263, -0.036893170326948166, -0.024936486035585403, -0.007046534214168787, -0.10857624560594559, -0.006912853103131056, -0.04378708824515343, 0.02336740493774414, -0.04535605013370514, -0.014917966909706593, 0.015753010287880898, -0.04294128343462944, 0.030589424073696136, 0.010678722523152828 ]
null
null
null
null
null
null
null
[ -0.10561587661504745, -0.025989104062318802, 0.001257284078747034, 0.032000210136175156, 0.05929233133792877, -0.018568433821201324, 0.10780108720064163, 0.10835331678390503, 0.007544743362814188, 0.08133295923471451, 0.0214526429772377, -0.06900133192539215, -0.006809900980442762, 0.14439469575881958, 0.0055242846719920635, -0.005056869704276323, -0.0007460185443051159, 0.05018051713705063, 0.014516470022499561, -0.003709969576448202, 0.017544738948345184, -0.001348125166259706, 0.013758731074631214, -0.07145743072032928, -0.020306428894400597, -0.023210858926177025, 0.034355152398347855, -0.06740263849496841, -0.07349979132413864, -0.029409535229206085, -0.022129451856017113, -0.08175913244485855, -0.08492026478052139, -0.022657038643956184, 0.06773069500923157, 0.06522229313850403, 0.00016663428687024862, -0.11869189888238907, 0.006221839226782322, -0.02251100167632103, 0.07692036777734756, 0.04674239829182625, 0.012227790430188179, -0.052611302584409714, 0.06018872931599617, 0.05529898405075073, 0.10018274188041687, 0.0071834782138466835, 0.029416531324386597, -0.02796122618019581, 0.04000568017363548, -0.05799547955393791, 0.050628773868083954, 0.026310106739401817, -0.023388689383864403, -0.00966029055416584, -0.030408352613449097, -0.03430160507559776, -0.033632636070251465, -0.08370769023895264, -0.008701269514858723, 0.015196696855127811, 0.06614582985639572, -0.038412127643823624, 0.01370528619736433, -0.017992131412029266, 0.040446143597364426, 0.04544880986213684, 0.03924962505698204, -0.015964269638061523, -0.053459107875823975, 0.09133577346801758, 0.011728702113032341, -0.028835728764533997, 0.023195166140794754, -0.06254314631223679, -0.03362330049276352, 0.10307393968105316, 0.012344954535365105, -0.06293240934610367, 0.03900591656565666, -0.04910748079419136, -0.07815089821815491, 0.07300512492656708, 0.05216164141893387, 0.022245295345783234, 0.05663461610674858, -0.017507830634713173, -0.06834784150123596, -0.024849729612469673, 0.0201615821570158, -0.05922377109527588, -0.03379293531179428, -0.028085459023714066, -0.16533522307872772, -0.015155229717493057, -0.0013324572937563062, -0.015670491382479668, 0.009678979404270649, -0.019137654453516006, -0.016492212191224098, 0.02982191927731037, -0.004457221366465092, -0.01378058735281229, 0.10094758123159409, -0.0341808944940567, 0.004409470595419407, 0.08589821308851242, 0.04046865180134773, 0.014309191145002842, 0.11015167087316513, 0.02927844040095806, 0.026805566623806953, -0.013467684388160706, 0.08629180490970612, 0.06454886496067047, -0.039989423006772995, 0.05815853551030159, -0.01914600469172001, -0.009486204013228416, 0.019544953480362892, 0.012776793912053108, -0.06785005331039429, 0.03310273587703705, -0.050964709371328354, 0.04746059328317642, 0.009439988993108273, -3.500377435151511e-34, 0.0475349985063076, 0.002633923664689064, 0.05065620690584183, 0.016737358644604683, -0.004713777918368578, -0.08598337322473526, 0.012066647410392761, 0.011794449761509895, -0.03063877485692501, 0.000847396207973361, -0.06048602610826492, 0.010425047017633915, 0.062355365604162216, 0.08528339117765427, 0.01386972889304161, -0.039303798228502274, -0.039105404168367386, -0.0310733113437891, 0.11784123629331589, 0.07630622386932373, -0.04283487796783447, 0.0421634167432785, 0.06280635297298431, 0.05811452120542526, 0.03155745193362236, 0.03898110240697861, -0.05022220313549042, 0.02356048859655857, -0.041859935969114304, -0.048190679401159286, 0.004358118399977684, 0.05440402776002884, 0.011901645921170712, 0.04432531073689461, 0.00822523795068264, -0.00891057774424553, 0.08806028217077255, -0.04965944215655327, 0.04703207314014435, -0.09310394525527954, 0.048228975385427475, -0.011579101905226707, 0.047430381178855896, -0.004599901847541332, 0.0480974055826664, 0.026542888954281807, -0.038345906883478165, -0.021537482738494873, -0.007853280752897263, 0.023951638489961624, 0.015807341784238815, -0.12298804521560669, 0.031151488423347473, -0.03151756152510643, -0.008615605533123016, 0.008800618350505829, -0.05659716576337814, -0.009905724786221981, 0.05613386258482933, 0.006743837147951126, -0.007000853773206472, 0.032107409089803696, 0.05444294586777687, -0.022554580122232437, -0.00760955736041069, 0.06149604916572571, -0.07134919613599777, -0.013948853127658367, -0.06081266701221466, -0.013264925219118595, -0.047283995896577835, 0.07702405750751495, -0.03276629000902176, -0.04797011613845825, 0.025593740865588188, 0.09381936490535736, -0.043897055089473724, -0.005333555396646261, 0.06297101825475693, 0.034968167543411255, -0.04241809621453285, 0.0016618933295831084, -0.04133893921971321, -0.05309518799185753, -0.07423465698957443, 0.02780630998313427, 0.0890716090798378, -0.02647218108177185, -0.04949178919196129, -0.023714913055300713, 0.03434021770954132, 0.050548214465379715, 0.040045883506536484, -0.0422222763299942, -0.07541794329881668, -1.9990949168343228e-33, 0.08173932880163193, -0.03257960081100464, 0.03208528831601143, -0.011830072849988937, -0.022097500041127205, -0.06545711308717728, -0.006534601096063852, 0.05840666964650154, 0.013315909542143345, 0.006773106753826141, 0.06868314743041992, 0.0010010558180510998, -0.03414212167263031, 0.03152501955628395, 0.021883465349674225, 0.04838469624519348, -0.08943287283182144, -0.03521205112338066, 0.0732683539390564, -0.038977235555648804, -0.13558515906333923, 0.05148933827877045, 0.035987790673971176, 0.060791101306676865, 0.01837710477411747, 0.037492621690034866, -0.024079257622361183, -0.05933632329106331, -0.05970262736082077, 0.007984021678566933, -0.09730307757854462, -0.007461229804903269, -0.020348794758319855, 0.01646912842988968, -0.02011953666806221, 0.02083750255405903, 0.005860663950443268, -0.023500502109527588, 0.08790261298418045, 0.0012467700289562345, 0.03624684363603592, -0.0010744394967332482, -0.05870668217539787, -0.0022362167946994305, -0.047435205429792404, 0.05171458050608635, -0.06941115111112595, -0.04742688685655594, -0.018456418067216873, -0.0014617012348026037, -0.004284311085939407, -0.007964275777339935, -0.007567811757326126, -0.025536632165312767, -0.07564174383878708, 0.053926970809698105, -0.04957495629787445, 0.05987590551376343, 0.05904869735240936, 0.032498836517333984, -0.008986045606434345, -0.07942304760217667, 0.06092189624905586, -0.03620936721563339, -0.07765506953001022, 0.046985797584056854, 0.020728275179862976, -0.010482730343937874, 0.05174070969223976, -0.048702485859394073, 0.06415151059627533, 0.0228479765355587, 0.06819819658994675, 0.009777666069567204, -0.0129404840990901, -0.07682418078184128, -0.06649033725261688, -0.012939454056322575, -0.059465087950229645, -0.012653160840272903, 0.037634946405887604, 0.023129675537347794, -0.04959293082356453, -0.09950541704893112, 0.06034523993730545, -0.006742782425135374, -0.02610376663506031, -0.03360646218061447, -0.010045254603028297, -0.02364647388458252, 0.014898501336574554, 0.026531917974352837, 0.05718563124537468, 0.03148304671049118, 0.018405403941869736, -3.669183712418089e-8, 0.047176968306303024, 0.0783899649977684, 0.07491274923086166, -0.11161338537931442, 0.031936753541231155, 0.05437120795249939, -0.014369704760611057, -0.07102197408676147, -0.0397765077650547, -0.0057653458788990974, 0.032035939395427704, -0.01030957791954279, -0.029010651633143425, -0.019437039270997047, 0.019736643880605698, 0.10557742416858673, -0.04593299701809883, -0.08851184695959091, -0.04080797731876373, -0.029927045106887817, -0.05277913808822632, -0.0058153411373496056, -0.08723776042461395, 0.05908181518316269, 0.06615404784679413, -0.0025107096880674362, 0.041591864079236984, -0.07943113893270493, 0.05105210840702057, -0.045238181948661804, 0.009491235949099064, 0.028257839381694794, 0.007097973488271236, 0.07531934976577759, 0.06260564923286438, -0.018235718831419945, -0.08749300986528397, -0.05988740548491478, -0.0718311220407486, 0.07204245030879974, -0.1315697580575943, -0.004131515510380268, -0.0881768986582756, -0.04802809655666351, -0.0511360801756382, -0.02610042132437229, 0.11998075246810913, 0.04255377873778343, -0.1255774050951004, 0.0979703739285469, 0.026639876887202263, -0.036893170326948166, -0.024936486035585403, -0.007046534214168787, -0.10857624560594559, -0.006912853103131056, -0.04378708824515343, 0.02336740493774414, -0.04535605013370514, -0.014917966909706593, 0.015753010287880898, -0.04294128343462944, 0.030589424073696136, 0.010678722523152828 ]
1402.0420
Luca Vassio Mr
Francesco Bertini, Lorenzo Dal Mas, Luca Vassio and Enrico Ampellio
Multidiscipinary Optimization For Gas Turbines Design
12 pages, 6 figures. Presented at the XXII Italian Association of Aeronautics and Astronautics Conference (2013)
null
null
null
math.OC cs.NE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
State-of-the-art aeronautic Low Pressure gas Turbines (LPTs) are already characterized by high quality standards, thus they offer very narrow margins of improvement. Typical design process starts with a Concept Design (CD) phase, defined using mean-line 1D and other low-order tools, and evolves through a Preliminary Design (PD) phase, which allows the geometric definition in details. In this framework, multidisciplinary optimization is the only way to properly handle the complicated peculiarities of the design. The authors present different strategies and algorithms that have been implemented exploiting the PD phase as a real-like design benchmark to illustrate results. The purpose of this work is to describe the optimization techniques, their settings and how to implement them effectively in a multidisciplinary environment. Starting from a basic gradient method and a semi-random second order method, the authors have introduced an Artificial Bee Colony-like optimizer, a multi-objective Genetic Diversity Evolutionary Algorithm [1] and a multi-objective response surface approach based on Artificial Neural Network, parallelizing and customizing them for the gas turbine study. Moreover, speedup and improvement arrangements are embedded in different hybrid strategies with the aim at finding the best solutions for different kind of problems that arise in this field.
[ { "created": "Mon, 3 Feb 2014 16:38:51 GMT", "version": "v1" } ]
2014-02-04
[ [ "Bertini", "Francesco", "" ], [ "Mas", "Lorenzo Dal", "" ], [ "Vassio", "Luca", "" ], [ "Ampellio", "Enrico", "" ] ]
[ -0.04021085053682327, 0.04397766664624214, -0.03622964769601822, -0.03157705441117287, -0.03104737401008606, 0.016900068148970604, -0.030543705448508263, -0.0061523206532001495, -0.03572291135787964, -0.060344401746988297, -0.06218423694372177, -0.026648981496691704, -0.01213822327554226, -0.0540272481739521, -0.04431278631091118, 0.06983740627765656, 0.013404942117631435, 0.005112585611641407, -0.017348483204841614, -0.05867169424891472, 0.08951374888420105, 0.05078757181763649, 0.05851991847157478, -0.01257421262562275, -0.02100834809243679, 0.03238626942038536, -0.017292063683271408, 0.0699872151017189, 0.0269844401627779, 0.04833339527249336, 0.04919876530766487, 0.010429475456476212, -0.0009610052220523357, -0.016054624691605568, -0.032683875411748886, 0.02663593925535679, -0.07432717829942703, 0.05522715672850609, 0.02655390091240406, 0.021257974207401276, -0.08420845866203308, 0.022974926978349686, -0.034915100783109665, 0.048001114279031754, 0.05520099774003029, 0.03296472132205963, -0.03532328084111214, -0.01053167786449194, 0.05504382774233818, -0.04577266052365303, -0.05382567271590233, -0.06890100985765457, -0.07146874815225601, -0.050460368394851685, 0.08346977084875107, 0.0016874466091394424, -0.010672124102711678, 0.00456848181784153, 0.047914937138557434, -0.10485365986824036, 0.014906181022524834, -0.06293345242738724, 0.09434372931718826, -0.04740394279360771, 0.05907578021287918, -0.034645725041627884, -0.020939849317073822, 0.006790184881538153, 0.022569740191102028, -0.07392287254333496, -0.05657630413770676, -0.03062194027006626, 0.01052315253764391, 0.011533503420650959, -0.035653404891490936, 0.11977344751358032, 0.1070626750588417, 0.03893926367163658, -0.06891394406557083, -0.00615165289491415, 0.027246393263339996, 0.026536012068390846, -0.022209834307432175, -0.021152343600988388, -0.05048869550228119, 0.00026355640147812665, -0.03942393884062767, -0.007820060476660728, 0.10903246700763702, 0.043917302042245865, 0.00937202014029026, 0.047525305300951004, 0.010970360599458218, -0.04691379889845848, 0.01990782655775547, -0.016491252928972244, 0.0028139420319348574, -0.02643776871263981, 0.02609335444867611, 0.037255626171827316, 0.008997458033263683, -0.03506069257855415, 0.050223685801029205, -0.04003242775797844, 0.008273973129689693, -0.01710420660674572, 0.07165636122226715, 0.016525737941265106, 0.03993938863277435, -0.08394786715507507, -0.02061563916504383, 0.05941915884613991, -0.035009898245334625, 0.0010528003331273794, -0.07840313017368317, -0.006122758612036705, -0.0849805697798729, -0.03499557077884674, -0.005264962557703257, 0.0979023352265358, -0.003281029174104333, -0.09548306465148926, -0.01896754652261734, 0.05727453902363777, 0.016409169882535934, 0.0528956763446331, -0.061180807650089264, 7.137007063355307e-34, -0.13385307788848877, -0.003223198000341654, 0.039509117603302, -0.014825406484305859, -0.009631484746932983, 0.025063341483473778, 0.001286025857552886, 0.007501982152462006, 0.0031369414646178484, 0.029276475310325623, -0.05935085937380791, -0.038827862590551376, -0.038485098630189896, 0.0295880027115345, -0.00847367849200964, -0.09135200083255768, 0.01643039658665657, 0.024293718859553337, -0.011720537208020687, -0.041778504848480225, -0.01051219180226326, -0.023344136774539948, 0.027464011684060097, -0.018292676657438278, 0.09420492500066757, 0.044724080711603165, 0.17429755628108978, -0.08097664266824722, -0.06664574146270752, 0.0057154251262545586, 0.009271516464650631, -0.038374803960323334, -0.04959678649902344, 0.007811997085809708, -0.029537172988057137, -0.010535676963627338, 0.05080372095108032, 0.011520490050315857, -0.056899476796388626, 0.055483683943748474, -0.04915444925427437, 0.02309511974453926, 0.046480659395456314, 0.022748662158846855, -0.02391871251165867, 0.006823935080319643, 0.0194174125790596, 0.05154505372047424, 0.06275074183940887, -0.037351641803979874, -0.05610758066177368, 0.007519451901316643, 0.06530153006315231, 0.023852264508605003, 0.12176738679409027, 0.07240740954875946, -0.02007460780441761, 0.021067358553409576, -0.001929898397065699, -0.001992476172745228, -0.09060165286064148, -0.003307980252429843, -0.04519147798418999, -0.05732589587569237, 0.07978282868862152, 0.027551142498850822, 0.02257167361676693, 0.014493037015199661, 0.06459641456604004, -0.02184218540787697, 0.04088855907320976, -0.03512986749410629, 0.04752602055668831, -0.00579548254609108, -0.03743284195661545, 0.03206401690840721, 0.08968401700258255, 0.052901845425367355, -0.03108922578394413, -0.045692987740039825, -0.03509855270385742, 0.19626228511333466, -0.0182125773280859, -0.07005622982978821, -0.014408157207071781, -0.03260532766580582, 0.008122129365801811, 0.007410142105072737, -0.06823471188545227, -0.02303064614534378, -0.10278281569480896, -0.0005333980079740286, -0.02011995017528534, 0.0503409244120121, -0.02008112706243992, -1.3124472487102574e-33, -0.06299912184476852, -0.0026162222493439913, -0.017082111909985542, -0.05068088695406914, 0.0952138677239418, 0.028991123661398888, -0.03584572672843933, -0.07392699271440506, -0.032958097755908966, 0.03763691708445549, -0.026532793417572975, -0.013946437276899815, 0.03045559674501419, 0.04436401650309563, 0.012172138318419456, 0.08839594572782516, -0.060517940670251846, -0.03939450532197952, 0.0599069781601429, 0.020104916766285896, 0.05596860498189926, 0.11001533269882202, -0.04753664508461952, -0.025071341544389725, -0.07444589585065842, -0.009027824737131596, -0.06576789170503616, 0.03672879561781883, 0.04769781231880188, 0.03539979085326195, -0.0313388966023922, 0.04663185402750969, -0.03792952746152878, 0.0718962550163269, -0.034428779035806656, 0.06013580411672592, 0.005240791477262974, 0.024048740044236183, 0.02572115883231163, 0.10993001610040665, -0.03306927904486656, -0.03450636938214302, -0.06748863309621811, -0.10373688489198685, -0.02181805670261383, 0.08569282293319702, 0.022853339090943336, -0.0949103906750679, 0.03970782086253166, 0.06036766618490219, 0.017442161217331886, -0.05298395827412605, -0.0488472543656826, 0.03477136790752411, 0.004447862971574068, -0.07510644197463989, 0.07536152005195618, -0.031503692269325256, 0.027490537613630295, -0.03898277133703232, 0.09467721730470657, -0.0825207456946373, 0.042505182325839996, -0.020916808396577835, -0.07957388460636139, 0.0021570853423327208, 0.09933318942785263, -0.008658170700073242, -0.004325822461396456, -0.004199010320007801, -0.0904412567615509, 0.030193788930773735, 0.07919658720493317, 0.043470147997140884, -0.08707523345947266, 0.0055942353792488575, 0.026400765404105186, -0.013142979703843594, 0.0018583227647468448, -0.01399244088679552, -0.018947893753647804, 0.06137336045503616, -0.005754615180194378, 0.12658315896987915, 0.03536485508084297, -0.01845967397093773, -0.01458951085805893, 0.06159329414367676, 0.13211606442928314, -0.022228766232728958, 0.07930148392915726, 0.03457197546958923, 0.07343284040689468, 0.05301947146654129, -0.03258875384926796, -4.950515020141211e-8, 0.003262039739638567, -0.08623563498258591, 0.10805849730968475, 0.009354324080049992, 0.06909865885972977, 0.05182960629463196, -0.10357546806335449, 0.0003587616665754467, 0.006100071128457785, -0.1318420022726059, 0.027824614197015762, -0.04638920724391937, 0.04010222852230072, -0.0009613966103643179, 0.020870909094810486, -0.07492779940366745, -0.0495591014623642, -0.026168199256062508, 0.055309418588876724, -0.04381832107901573, -0.03404522314667702, 0.0236879363656044, -0.05707928165793419, -0.03082142025232315, 0.06033460423350334, -0.07432610541582108, -0.027506548911333084, -0.07773752510547638, 0.0019776676781475544, -0.02578817494213581, -0.05916064977645874, 0.04011973738670349, -0.0024108353536576033, 0.03032713383436203, -0.00513745192438364, 0.03724650666117668, -0.018496185541152954, 0.08046931028366089, -0.07159196585416794, -0.008189447224140167, 0.04845835641026497, 0.047096651047468185, -0.023636359721422195, -0.02526155486702919, 0.05989077687263489, 0.03603066876530647, 0.009923211298882961, -0.02413901872932911, 0.05038098245859146, 0.0392799973487854, -0.000329223315929994, -0.007318446412682533, 0.01249754149466753, 0.0200845617800951, 0.03397690877318382, -0.022484714165329933, -0.05567866191267967, -0.021325958892703056, 0.0619455985724926, -0.01026180014014244, 0.005710535682737827, 0.006629080045968294, -0.09556601196527481, -0.08174087852239609 ]
null
null
null
null
null
null
null
[ -0.04021085053682327, 0.04397766664624214, -0.03622964769601822, -0.03157705441117287, -0.03104737401008606, 0.016900068148970604, -0.030543705448508263, -0.0061523206532001495, -0.03572291135787964, -0.060344401746988297, -0.06218423694372177, -0.026648981496691704, -0.01213822327554226, -0.0540272481739521, -0.04431278631091118, 0.06983740627765656, 0.013404942117631435, 0.005112585611641407, -0.017348483204841614, -0.05867169424891472, 0.08951374888420105, 0.05078757181763649, 0.05851991847157478, -0.01257421262562275, -0.02100834809243679, 0.03238626942038536, -0.017292063683271408, 0.0699872151017189, 0.0269844401627779, 0.04833339527249336, 0.04919876530766487, 0.010429475456476212, -0.0009610052220523357, -0.016054624691605568, -0.032683875411748886, 0.02663593925535679, -0.07432717829942703, 0.05522715672850609, 0.02655390091240406, 0.021257974207401276, -0.08420845866203308, 0.022974926978349686, -0.034915100783109665, 0.048001114279031754, 0.05520099774003029, 0.03296472132205963, -0.03532328084111214, -0.01053167786449194, 0.05504382774233818, -0.04577266052365303, -0.05382567271590233, -0.06890100985765457, -0.07146874815225601, -0.050460368394851685, 0.08346977084875107, 0.0016874466091394424, -0.010672124102711678, 0.00456848181784153, 0.047914937138557434, -0.10485365986824036, 0.014906181022524834, -0.06293345242738724, 0.09434372931718826, -0.04740394279360771, 0.05907578021287918, -0.034645725041627884, -0.020939849317073822, 0.006790184881538153, 0.022569740191102028, -0.07392287254333496, -0.05657630413770676, -0.03062194027006626, 0.01052315253764391, 0.011533503420650959, -0.035653404891490936, 0.11977344751358032, 0.1070626750588417, 0.03893926367163658, -0.06891394406557083, -0.00615165289491415, 0.027246393263339996, 0.026536012068390846, -0.022209834307432175, -0.021152343600988388, -0.05048869550228119, 0.00026355640147812665, -0.03942393884062767, -0.007820060476660728, 0.10903246700763702, 0.043917302042245865, 0.00937202014029026, 0.047525305300951004, 0.010970360599458218, -0.04691379889845848, 0.01990782655775547, -0.016491252928972244, 0.0028139420319348574, -0.02643776871263981, 0.02609335444867611, 0.037255626171827316, 0.008997458033263683, -0.03506069257855415, 0.050223685801029205, -0.04003242775797844, 0.008273973129689693, -0.01710420660674572, 0.07165636122226715, 0.016525737941265106, 0.03993938863277435, -0.08394786715507507, -0.02061563916504383, 0.05941915884613991, -0.035009898245334625, 0.0010528003331273794, -0.07840313017368317, -0.006122758612036705, -0.0849805697798729, -0.03499557077884674, -0.005264962557703257, 0.0979023352265358, -0.003281029174104333, -0.09548306465148926, -0.01896754652261734, 0.05727453902363777, 0.016409169882535934, 0.0528956763446331, -0.061180807650089264, 7.137007063355307e-34, -0.13385307788848877, -0.003223198000341654, 0.039509117603302, -0.014825406484305859, -0.009631484746932983, 0.025063341483473778, 0.001286025857552886, 0.007501982152462006, 0.0031369414646178484, 0.029276475310325623, -0.05935085937380791, -0.038827862590551376, -0.038485098630189896, 0.0295880027115345, -0.00847367849200964, -0.09135200083255768, 0.01643039658665657, 0.024293718859553337, -0.011720537208020687, -0.041778504848480225, -0.01051219180226326, -0.023344136774539948, 0.027464011684060097, -0.018292676657438278, 0.09420492500066757, 0.044724080711603165, 0.17429755628108978, -0.08097664266824722, -0.06664574146270752, 0.0057154251262545586, 0.009271516464650631, -0.038374803960323334, -0.04959678649902344, 0.007811997085809708, -0.029537172988057137, -0.010535676963627338, 0.05080372095108032, 0.011520490050315857, -0.056899476796388626, 0.055483683943748474, -0.04915444925427437, 0.02309511974453926, 0.046480659395456314, 0.022748662158846855, -0.02391871251165867, 0.006823935080319643, 0.0194174125790596, 0.05154505372047424, 0.06275074183940887, -0.037351641803979874, -0.05610758066177368, 0.007519451901316643, 0.06530153006315231, 0.023852264508605003, 0.12176738679409027, 0.07240740954875946, -0.02007460780441761, 0.021067358553409576, -0.001929898397065699, -0.001992476172745228, -0.09060165286064148, -0.003307980252429843, -0.04519147798418999, -0.05732589587569237, 0.07978282868862152, 0.027551142498850822, 0.02257167361676693, 0.014493037015199661, 0.06459641456604004, -0.02184218540787697, 0.04088855907320976, -0.03512986749410629, 0.04752602055668831, -0.00579548254609108, -0.03743284195661545, 0.03206401690840721, 0.08968401700258255, 0.052901845425367355, -0.03108922578394413, -0.045692987740039825, -0.03509855270385742, 0.19626228511333466, -0.0182125773280859, -0.07005622982978821, -0.014408157207071781, -0.03260532766580582, 0.008122129365801811, 0.007410142105072737, -0.06823471188545227, -0.02303064614534378, -0.10278281569480896, -0.0005333980079740286, -0.02011995017528534, 0.0503409244120121, -0.02008112706243992, -1.3124472487102574e-33, -0.06299912184476852, -0.0026162222493439913, -0.017082111909985542, -0.05068088695406914, 0.0952138677239418, 0.028991123661398888, -0.03584572672843933, -0.07392699271440506, -0.032958097755908966, 0.03763691708445549, -0.026532793417572975, -0.013946437276899815, 0.03045559674501419, 0.04436401650309563, 0.012172138318419456, 0.08839594572782516, -0.060517940670251846, -0.03939450532197952, 0.0599069781601429, 0.020104916766285896, 0.05596860498189926, 0.11001533269882202, -0.04753664508461952, -0.025071341544389725, -0.07444589585065842, -0.009027824737131596, -0.06576789170503616, 0.03672879561781883, 0.04769781231880188, 0.03539979085326195, -0.0313388966023922, 0.04663185402750969, -0.03792952746152878, 0.0718962550163269, -0.034428779035806656, 0.06013580411672592, 0.005240791477262974, 0.024048740044236183, 0.02572115883231163, 0.10993001610040665, -0.03306927904486656, -0.03450636938214302, -0.06748863309621811, -0.10373688489198685, -0.02181805670261383, 0.08569282293319702, 0.022853339090943336, -0.0949103906750679, 0.03970782086253166, 0.06036766618490219, 0.017442161217331886, -0.05298395827412605, -0.0488472543656826, 0.03477136790752411, 0.004447862971574068, -0.07510644197463989, 0.07536152005195618, -0.031503692269325256, 0.027490537613630295, -0.03898277133703232, 0.09467721730470657, -0.0825207456946373, 0.042505182325839996, -0.020916808396577835, -0.07957388460636139, 0.0021570853423327208, 0.09933318942785263, -0.008658170700073242, -0.004325822461396456, -0.004199010320007801, -0.0904412567615509, 0.030193788930773735, 0.07919658720493317, 0.043470147997140884, -0.08707523345947266, 0.0055942353792488575, 0.026400765404105186, -0.013142979703843594, 0.0018583227647468448, -0.01399244088679552, -0.018947893753647804, 0.06137336045503616, -0.005754615180194378, 0.12658315896987915, 0.03536485508084297, -0.01845967397093773, -0.01458951085805893, 0.06159329414367676, 0.13211606442928314, -0.022228766232728958, 0.07930148392915726, 0.03457197546958923, 0.07343284040689468, 0.05301947146654129, -0.03258875384926796, -4.950515020141211e-8, 0.003262039739638567, -0.08623563498258591, 0.10805849730968475, 0.009354324080049992, 0.06909865885972977, 0.05182960629463196, -0.10357546806335449, 0.0003587616665754467, 0.006100071128457785, -0.1318420022726059, 0.027824614197015762, -0.04638920724391937, 0.04010222852230072, -0.0009613966103643179, 0.020870909094810486, -0.07492779940366745, -0.0495591014623642, -0.026168199256062508, 0.055309418588876724, -0.04381832107901573, -0.03404522314667702, 0.0236879363656044, -0.05707928165793419, -0.03082142025232315, 0.06033460423350334, -0.07432610541582108, -0.027506548911333084, -0.07773752510547638, 0.0019776676781475544, -0.02578817494213581, -0.05916064977645874, 0.04011973738670349, -0.0024108353536576033, 0.03032713383436203, -0.00513745192438364, 0.03724650666117668, -0.018496185541152954, 0.08046931028366089, -0.07159196585416794, -0.008189447224140167, 0.04845835641026497, 0.047096651047468185, -0.023636359721422195, -0.02526155486702919, 0.05989077687263489, 0.03603066876530647, 0.009923211298882961, -0.02413901872932911, 0.05038098245859146, 0.0392799973487854, -0.000329223315929994, -0.007318446412682533, 0.01249754149466753, 0.0200845617800951, 0.03397690877318382, -0.022484714165329933, -0.05567866191267967, -0.021325958892703056, 0.0619455985724926, -0.01026180014014244, 0.005710535682737827, 0.006629080045968294, -0.09556601196527481, -0.08174087852239609 ]
1402.0422
Andrea Lancichinetti
Andrea Lancichinetti, M. Irmak Sirer, Jane X. Wang, Daniel Acuna, Konrad K\"ording, Lu\'is A. Nunes Amaral
A high-reproducibility and high-accuracy method for automated topic classification
23 pages, 24 figures
null
null
null
stat.ML cs.IR cs.LG physics.soc-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Much of human knowledge sits in large databases of unstructured text. Leveraging this knowledge requires algorithms that extract and record metadata on unstructured text documents. Assigning topics to documents will enable intelligent search, statistical characterization, and meaningful classification. Latent Dirichlet allocation (LDA) is the state-of-the-art in topic classification. Here, we perform a systematic theoretical and numerical analysis that demonstrates that current optimization techniques for LDA often yield results which are not accurate in inferring the most suitable model parameters. Adapting approaches for community detection in networks, we propose a new algorithm which displays high-reproducibility and high-accuracy, and also has high computational efficiency. We apply it to a large set of documents in the English Wikipedia and reveal its hierarchical structure. Our algorithm promises to make "big data" text analysis systems more reliable.
[ { "created": "Mon, 3 Feb 2014 16:45:13 GMT", "version": "v1" } ]
2014-02-04
[ [ "Lancichinetti", "Andrea", "" ], [ "Sirer", "M. Irmak", "" ], [ "Wang", "Jane X.", "" ], [ "Acuna", "Daniel", "" ], [ "Körding", "Konrad", "" ], [ "Amaral", "Luís A. Nunes", "" ] ]
[ -0.028031138703227043, -0.05670515447854996, -0.07554149627685547, 0.024481626227498055, 0.0632082000374794, -0.004685286898165941, -0.028238650411367416, -0.08554057776927948, 0.0019908735994249582, 0.014705905690789223, 0.07002431154251099, 0.03897986188530922, 0.04473617672920227, 0.03261059895157814, -0.0489315539598465, 0.06631996482610703, 0.08195969462394714, 0.020775483921170235, -0.047794409096241, -0.047103263437747955, 0.018313303589820862, 0.15095071494579315, 0.036613937467336655, 0.020367315039038658, 0.009708309546113014, 0.0500514917075634, -0.00790962390601635, -0.05416734889149666, -0.005533354356884956, 0.004353952594101429, 0.09020844846963882, 0.037040114402770996, 0.00591185363009572, 0.021851086989045143, -0.022498294711112976, 0.046618081629276276, -0.038787953555583954, 0.00379895674996078, 0.023842455819249153, 0.043978650122880936, 0.04661598429083824, -0.015433266758918762, 0.005755245685577393, 0.05756234750151634, 0.04943748563528061, 0.04676781967282295, -0.0914752334356308, 0.047755688428878784, 0.010870353318750858, 0.012265481054782867, -0.012995002791285515, 0.017851101234555244, 0.021656092256307602, 0.05004916340112686, -0.019950205460190773, -0.0006583686335943639, -0.01886942610144615, 0.008867576718330383, -0.021205706521868706, -0.05413518473505974, 0.01010149996727705, -0.04217144101858139, 0.011984583921730518, -0.03097478300333023, 0.023840805515646935, -0.0014092695200815797, -0.005298170261085033, 0.06529436260461807, 0.05014072358608246, 0.0020702171605080366, 0.06728227436542511, 0.13181756436824799, -0.07982315123081207, 0.1256224364042282, 0.014020188711583614, 0.007847257889807224, -0.025095181539654732, 0.021864430978894234, 0.0320935882627964, -0.0032387347891926765, -0.046084530651569366, -0.006624402012676001, 0.046944547444581985, -0.03246348351240158, 0.03681578487157822, -0.02476181648671627, -0.0020305635407567024, -0.040510568767786026, -0.02669031359255314, 0.03620309755206108, -0.05041814595460892, -0.01932910829782486, 0.12144426256418228, -0.07311288267374039, -0.07653909921646118, 0.017269564792513847, 0.03845684602856636, -0.04995790868997574, -0.0005164985195733607, 0.10001115500926971, -0.004650749731808901, -0.007854064926505089, 0.00927561055868864, -0.06810743361711502, -0.04292046278715134, 0.026084454730153084, 0.03122030198574066, 0.07550732791423798, 0.013354546390473843, -0.015658672899007797, -0.0467723086476326, 0.07145383208990097, -0.027609102427959442, -0.028638407588005066, 0.09697459638118744, -0.07442232221364975, 0.1503710299730301, 0.023167576640844345, 0.04273383691906929, 0.05097781494259834, -0.04179704561829567, -0.005697367247194052, 0.01714007928967476, -0.03752700239419937, 0.014727462083101273, 0.012083999812602997, -0.13608388602733612, 4.581453875663845e-34, 0.05297726020216942, 0.015320757403969765, -0.02462172880768776, 0.08973382413387299, -0.0613771490752697, 0.007607659790664911, -0.03910273686051369, -0.0023732243571430445, 0.0002685498620849103, -0.022391892969608307, -0.022684767842292786, 0.0524674728512764, -0.014002975076436996, -0.048815369606018066, 0.056197673082351685, -0.055425748229026794, -0.026567328721284866, 0.08146534115076065, -0.000580403720960021, -0.06342793256044388, 0.05428774654865265, -0.026674211025238037, 0.04535207524895668, -0.042534731328487396, -0.029152369126677513, -0.01652275212109089, 0.0151621513068676, -0.08971357345581055, 0.02222411148250103, 0.016124660149216652, -0.04329134151339531, 0.05652780085802078, -0.005603665020316839, -0.03535347059369087, -0.0018426469760015607, 0.005116086918860674, -0.02339521236717701, -0.005627883598208427, 0.03447218984365463, -0.08865413069725037, -0.09654685854911804, 0.00991559587419033, 0.036025457084178925, -0.08776409924030304, -0.008045416325330734, -0.0067466553300619125, -0.0015223091468214989, -0.0098569355905056, 0.08633141219615936, -0.07798747718334198, 0.09910900145769119, -0.05717119202017784, 0.035068873316049576, 0.12608781456947327, 0.031169835478067398, 0.01514409389346838, 0.056089047342538834, 0.024593204259872437, 0.03877253830432892, 0.025184214115142822, 0.04955888167023659, 0.008386868983507156, 0.02585490792989731, -0.0030822064727544785, -0.030969806015491486, 0.0014988211914896965, -0.013269681483507156, 0.09702065587043762, 0.0012930661905556917, 0.01857968606054783, 0.01356895174831152, 0.038523927330970764, 0.002288184128701687, -0.012438513338565826, -0.05559660121798515, 0.05700560659170151, -0.020625649020075798, -0.0922127366065979, -0.038230303674936295, 0.025174777954816818, 0.030226925387978554, -0.07153526693582535, 0.05632024630904198, -0.08332647383213043, -0.040057223290205, -0.03455735743045807, 0.05244947597384453, -0.026177898049354553, -0.03679696470499039, -0.032009806483983994, 0.006671069655567408, 0.016924425959587097, 0.002503069117665291, -0.028899986296892166, 0.09745696187019348, -4.14256331515267e-34, -0.09381505101919174, -0.12329011410474777, 0.018329519778490067, 0.0007388527737930417, 0.04017522558569908, -0.10410813242197037, -0.13746978342533112, -0.021099478006362915, -0.035988785326480865, -0.01764882169663906, -0.05726664513349533, -0.035368453711271286, -0.013651383109390736, 0.016787735745310783, -0.015889134258031845, 0.03722260519862175, 0.039069049060344696, 0.036799073219299316, -0.04277367144823074, 0.029672034084796906, -0.0593145415186882, 0.015792686492204666, -0.10113337635993958, 0.03432739898562431, 0.07607670873403549, -0.0005916845984756947, 0.0331190750002861, -0.002078940626233816, 0.024087751284241676, -0.011514859274029732, -0.11872401833534241, 0.003485035616904497, -0.09787652641534805, -0.06221114099025726, -0.09804518520832062, 0.02742643468081951, -0.015464641153812408, 0.003513283096253872, 0.046248264610767365, 0.022812945768237114, 0.06454990804195404, 0.051504071801900864, -0.061511579900979996, -0.04010077565908432, -0.0592145174741745, -0.0010722930310294032, -0.057008326053619385, 0.07341813296079636, 0.0342143177986145, 0.032681070268154144, 0.05392569676041603, -0.01107864174991846, 0.05724643915891647, -0.0013789063086733222, 0.018910648301243782, -0.024279426783323288, -0.06188878417015076, 0.016555875539779663, 0.0228695310652256, -0.012218954972922802, -0.10391144454479218, 0.004185852129012346, -0.09106659889221191, 0.056949932128190994, -0.06044619530439377, -0.16624772548675537, -0.02523956634104252, 0.015207387506961823, -0.030505666509270668, 0.005768145434558392, 0.08537133783102036, 0.0032255277037620544, -0.01813855767250061, 0.020771842449903488, 0.033525340259075165, -0.017528733238577843, 0.12232695519924164, 0.015409350395202637, 0.03739281743764877, -0.05039014667272568, 0.032692134380340576, 0.0343952551484108, 0.07970364391803741, 0.008097771555185318, 0.11822289228439331, -0.03446277230978012, 0.020515333861112595, 0.01834244467318058, -0.0014631502563133836, 0.06394845247268677, 0.021117201074957848, -0.035450682044029236, -0.02306138537824154, -0.024254366755485535, -0.0340341255068779, -3.855717523038038e-8, -0.05219881236553192, 0.026679882779717445, -0.08291628211736679, -0.006974338553845882, 0.003741771448403597, 0.0008225434576161206, -0.04161188006401062, 0.06343085318803787, -0.020874321460723877, 0.017260529100894928, 0.03706230968236923, 0.005283799022436142, -0.005344206001609564, -0.01421791035681963, -0.029791010543704033, 0.09151888638734818, 0.013519616797566414, 0.00541600352153182, -0.003284645965322852, -0.0023731570690870285, 0.06338348239660263, 0.022928783670067787, 0.01849365048110485, 0.04479142278432846, 0.04616081714630127, -0.08295613527297974, -0.09494917839765549, 0.06846386194229126, 0.004668432287871838, -0.06997834146022797, -0.020583350211381912, -0.013925285078585148, -0.13252411782741547, -0.0308061633259058, 0.06788606196641922, 0.18033798038959503, 0.049375440925359726, 0.00296248821541667, -0.08047137409448624, -0.062246549874544144, -0.02724519930779934, 0.03338964655995369, -0.02109343186020851, 0.027001453563570976, 0.03832848742604256, -0.02604004740715027, -0.025017322972416878, 0.04204243794083595, 0.06818588078022003, -0.06600578874349594, -0.05510571971535683, -0.050647955387830734, 0.044774577021598816, -0.014459600672125816, -0.0014266005018725991, 0.03497891500592232, -0.01963919587433338, 0.038182131946086884, 0.08779394626617432, -0.05015048757195473, 0.044403377920389175, 0.014098686166107655, -0.024862350896000862, 0.007517251651734114 ]
null
null
null
null
null
null
null
[ -0.028031138703227043, -0.05670515447854996, -0.07554149627685547, 0.024481626227498055, 0.0632082000374794, -0.004685286898165941, -0.028238650411367416, -0.08554057776927948, 0.0019908735994249582, 0.014705905690789223, 0.07002431154251099, 0.03897986188530922, 0.04473617672920227, 0.03261059895157814, -0.0489315539598465, 0.06631996482610703, 0.08195969462394714, 0.020775483921170235, -0.047794409096241, -0.047103263437747955, 0.018313303589820862, 0.15095071494579315, 0.036613937467336655, 0.020367315039038658, 0.009708309546113014, 0.0500514917075634, -0.00790962390601635, -0.05416734889149666, -0.005533354356884956, 0.004353952594101429, 0.09020844846963882, 0.037040114402770996, 0.00591185363009572, 0.021851086989045143, -0.022498294711112976, 0.046618081629276276, -0.038787953555583954, 0.00379895674996078, 0.023842455819249153, 0.043978650122880936, 0.04661598429083824, -0.015433266758918762, 0.005755245685577393, 0.05756234750151634, 0.04943748563528061, 0.04676781967282295, -0.0914752334356308, 0.047755688428878784, 0.010870353318750858, 0.012265481054782867, -0.012995002791285515, 0.017851101234555244, 0.021656092256307602, 0.05004916340112686, -0.019950205460190773, -0.0006583686335943639, -0.01886942610144615, 0.008867576718330383, -0.021205706521868706, -0.05413518473505974, 0.01010149996727705, -0.04217144101858139, 0.011984583921730518, -0.03097478300333023, 0.023840805515646935, -0.0014092695200815797, -0.005298170261085033, 0.06529436260461807, 0.05014072358608246, 0.0020702171605080366, 0.06728227436542511, 0.13181756436824799, -0.07982315123081207, 0.1256224364042282, 0.014020188711583614, 0.007847257889807224, -0.025095181539654732, 0.021864430978894234, 0.0320935882627964, -0.0032387347891926765, -0.046084530651569366, -0.006624402012676001, 0.046944547444581985, -0.03246348351240158, 0.03681578487157822, -0.02476181648671627, -0.0020305635407567024, -0.040510568767786026, -0.02669031359255314, 0.03620309755206108, -0.05041814595460892, -0.01932910829782486, 0.12144426256418228, -0.07311288267374039, -0.07653909921646118, 0.017269564792513847, 0.03845684602856636, -0.04995790868997574, -0.0005164985195733607, 0.10001115500926971, -0.004650749731808901, -0.007854064926505089, 0.00927561055868864, -0.06810743361711502, -0.04292046278715134, 0.026084454730153084, 0.03122030198574066, 0.07550732791423798, 0.013354546390473843, -0.015658672899007797, -0.0467723086476326, 0.07145383208990097, -0.027609102427959442, -0.028638407588005066, 0.09697459638118744, -0.07442232221364975, 0.1503710299730301, 0.023167576640844345, 0.04273383691906929, 0.05097781494259834, -0.04179704561829567, -0.005697367247194052, 0.01714007928967476, -0.03752700239419937, 0.014727462083101273, 0.012083999812602997, -0.13608388602733612, 4.581453875663845e-34, 0.05297726020216942, 0.015320757403969765, -0.02462172880768776, 0.08973382413387299, -0.0613771490752697, 0.007607659790664911, -0.03910273686051369, -0.0023732243571430445, 0.0002685498620849103, -0.022391892969608307, -0.022684767842292786, 0.0524674728512764, -0.014002975076436996, -0.048815369606018066, 0.056197673082351685, -0.055425748229026794, -0.026567328721284866, 0.08146534115076065, -0.000580403720960021, -0.06342793256044388, 0.05428774654865265, -0.026674211025238037, 0.04535207524895668, -0.042534731328487396, -0.029152369126677513, -0.01652275212109089, 0.0151621513068676, -0.08971357345581055, 0.02222411148250103, 0.016124660149216652, -0.04329134151339531, 0.05652780085802078, -0.005603665020316839, -0.03535347059369087, -0.0018426469760015607, 0.005116086918860674, -0.02339521236717701, -0.005627883598208427, 0.03447218984365463, -0.08865413069725037, -0.09654685854911804, 0.00991559587419033, 0.036025457084178925, -0.08776409924030304, -0.008045416325330734, -0.0067466553300619125, -0.0015223091468214989, -0.0098569355905056, 0.08633141219615936, -0.07798747718334198, 0.09910900145769119, -0.05717119202017784, 0.035068873316049576, 0.12608781456947327, 0.031169835478067398, 0.01514409389346838, 0.056089047342538834, 0.024593204259872437, 0.03877253830432892, 0.025184214115142822, 0.04955888167023659, 0.008386868983507156, 0.02585490792989731, -0.0030822064727544785, -0.030969806015491486, 0.0014988211914896965, -0.013269681483507156, 0.09702065587043762, 0.0012930661905556917, 0.01857968606054783, 0.01356895174831152, 0.038523927330970764, 0.002288184128701687, -0.012438513338565826, -0.05559660121798515, 0.05700560659170151, -0.020625649020075798, -0.0922127366065979, -0.038230303674936295, 0.025174777954816818, 0.030226925387978554, -0.07153526693582535, 0.05632024630904198, -0.08332647383213043, -0.040057223290205, -0.03455735743045807, 0.05244947597384453, -0.026177898049354553, -0.03679696470499039, -0.032009806483983994, 0.006671069655567408, 0.016924425959587097, 0.002503069117665291, -0.028899986296892166, 0.09745696187019348, -4.14256331515267e-34, -0.09381505101919174, -0.12329011410474777, 0.018329519778490067, 0.0007388527737930417, 0.04017522558569908, -0.10410813242197037, -0.13746978342533112, -0.021099478006362915, -0.035988785326480865, -0.01764882169663906, -0.05726664513349533, -0.035368453711271286, -0.013651383109390736, 0.016787735745310783, -0.015889134258031845, 0.03722260519862175, 0.039069049060344696, 0.036799073219299316, -0.04277367144823074, 0.029672034084796906, -0.0593145415186882, 0.015792686492204666, -0.10113337635993958, 0.03432739898562431, 0.07607670873403549, -0.0005916845984756947, 0.0331190750002861, -0.002078940626233816, 0.024087751284241676, -0.011514859274029732, -0.11872401833534241, 0.003485035616904497, -0.09787652641534805, -0.06221114099025726, -0.09804518520832062, 0.02742643468081951, -0.015464641153812408, 0.003513283096253872, 0.046248264610767365, 0.022812945768237114, 0.06454990804195404, 0.051504071801900864, -0.061511579900979996, -0.04010077565908432, -0.0592145174741745, -0.0010722930310294032, -0.057008326053619385, 0.07341813296079636, 0.0342143177986145, 0.032681070268154144, 0.05392569676041603, -0.01107864174991846, 0.05724643915891647, -0.0013789063086733222, 0.018910648301243782, -0.024279426783323288, -0.06188878417015076, 0.016555875539779663, 0.0228695310652256, -0.012218954972922802, -0.10391144454479218, 0.004185852129012346, -0.09106659889221191, 0.056949932128190994, -0.06044619530439377, -0.16624772548675537, -0.02523956634104252, 0.015207387506961823, -0.030505666509270668, 0.005768145434558392, 0.08537133783102036, 0.0032255277037620544, -0.01813855767250061, 0.020771842449903488, 0.033525340259075165, -0.017528733238577843, 0.12232695519924164, 0.015409350395202637, 0.03739281743764877, -0.05039014667272568, 0.032692134380340576, 0.0343952551484108, 0.07970364391803741, 0.008097771555185318, 0.11822289228439331, -0.03446277230978012, 0.020515333861112595, 0.01834244467318058, -0.0014631502563133836, 0.06394845247268677, 0.021117201074957848, -0.035450682044029236, -0.02306138537824154, -0.024254366755485535, -0.0340341255068779, -3.855717523038038e-8, -0.05219881236553192, 0.026679882779717445, -0.08291628211736679, -0.006974338553845882, 0.003741771448403597, 0.0008225434576161206, -0.04161188006401062, 0.06343085318803787, -0.020874321460723877, 0.017260529100894928, 0.03706230968236923, 0.005283799022436142, -0.005344206001609564, -0.01421791035681963, -0.029791010543704033, 0.09151888638734818, 0.013519616797566414, 0.00541600352153182, -0.003284645965322852, -0.0023731570690870285, 0.06338348239660263, 0.022928783670067787, 0.01849365048110485, 0.04479142278432846, 0.04616081714630127, -0.08295613527297974, -0.09494917839765549, 0.06846386194229126, 0.004668432287871838, -0.06997834146022797, -0.020583350211381912, -0.013925285078585148, -0.13252411782741547, -0.0308061633259058, 0.06788606196641922, 0.18033798038959503, 0.049375440925359726, 0.00296248821541667, -0.08047137409448624, -0.062246549874544144, -0.02724519930779934, 0.03338964655995369, -0.02109343186020851, 0.027001453563570976, 0.03832848742604256, -0.02604004740715027, -0.025017322972416878, 0.04204243794083595, 0.06818588078022003, -0.06600578874349594, -0.05510571971535683, -0.050647955387830734, 0.044774577021598816, -0.014459600672125816, -0.0014266005018725991, 0.03497891500592232, -0.01963919587433338, 0.038182131946086884, 0.08779394626617432, -0.05015048757195473, 0.044403377920389175, 0.014098686166107655, -0.024862350896000862, 0.007517251651734114 ]
1402.0423
Evan Sultanik Ph.D.
Evan A. Sultanik
A Bound on the Expected Optimality of Random Feasible Solutions to Combinatorial Optimization Problems
null
null
null
null
cs.DS math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper investigates and bounds the expected solution quality of combinatorial optimization problems when feasible solutions are chosen at random. Loose general bounds are discovered, as well as families of combinatorial optimization problems for which random feasible solutions are expected to be a constant factor of optimal. One implication of this result is that, for graphical problems, if the average edge weight in a feasible solution is sufficiently small, then any randomly chosen feasible solution to the problem will be a constant factor of optimal. For example, under certain well-defined circumstances, the expected constant of approximation of a randomly chosen feasible solution to the Steiner network problem is bounded above by 3. Empirical analysis supports these bounds and actually suggest that they might be tightened.
[ { "created": "Mon, 3 Feb 2014 16:47:04 GMT", "version": "v1" } ]
2014-02-04
[ [ "Sultanik", "Evan A.", "" ] ]
[ 0.019559532403945923, -0.004037739709019661, 0.051336001604795456, -0.005931624677032232, 0.026587842032313347, -0.07420789450407028, 0.03356492891907692, 0.024881232529878616, -0.03667905554175377, 0.029778752475976944, -0.06765957921743393, 0.03981086611747742, 0.04650875926017761, 0.013930338434875011, -0.010240288451313972, 0.04855044558644295, 0.10143016278743744, -0.036530058830976486, -0.038447536528110504, 0.031944241374731064, -0.0005631963140331209, -0.09769528359174728, 0.020961573347449303, -0.11258541792631149, 0.01397241372615099, -0.12128809839487076, 0.025715867057442665, -0.02523830346763134, 0.015834389254450798, 0.056232716888189316, -0.0024068269412964582, -0.01148703321814537, 0.030885670334100723, -0.07716036587953568, 0.03988340497016907, 0.013270477764308453, -0.11261391639709473, -0.07756610214710236, -0.0053864349611103535, 0.07194458693265915, -0.01844889298081398, 0.06344374269247055, 0.020860061049461365, 0.03161442279815674, -0.03395269438624382, -0.039845824241638184, -0.03233487159013748, 0.036437924951314926, -0.0009711032034829259, -0.06253844499588013, -0.02450576424598694, -0.013121885247528553, -0.06785506010055542, -0.045769091695547104, 0.05496308580040932, -0.08661558479070663, -0.019359339028596878, -0.05337996408343315, -0.014539754949510098, 0.08872223645448685, 0.1077694445848465, -0.08451107144355774, -0.051871176809072495, -0.00013149541337043047, 0.05305827036499977, -0.02276841551065445, 0.103389672935009, -0.004428381100296974, -0.056695740669965744, 0.07517139613628387, -0.05707627534866333, 0.007526230998337269, -0.11326587945222855, 0.060392383486032486, 0.1440986543893814, 0.06226586550474167, 0.08859691023826599, -0.019003523513674736, -0.08241735398769379, -0.005586580373346806, -0.058525409549474716, 0.035352423787117004, -0.02742699161171913, 0.027962196618318558, 0.008036150597035885, 0.001563224708661437, -0.003063350450247526, 0.0361703559756279, 0.05908660218119621, -0.0007018657634034753, -0.06586258113384247, -0.05643351003527641, -0.0841798335313797, 0.0573233962059021, -0.01063400786370039, -0.02731993980705738, 0.003955693915486336, -0.02181333862245083, -0.06383755058050156, 0.03677032142877579, -0.016031576320528984, -0.05533856153488159, 0.09813380241394043, -0.031905706971883774, -0.034536149352788925, -0.029179446399211884, 0.02926408126950264, 0.06459054350852966, 0.009470506571233273, -0.021199151873588562, 0.002001314191147685, 0.09095294028520584, 0.03582588955760002, 0.04526444524526596, -0.10918166488409042, 0.018976403400301933, 0.04231255501508713, 0.00699684489518404, 0.003687165444716811, 0.07227394729852676, -0.05285482481122017, 0.06591442227363586, 0.03531510382890701, -0.022082284092903137, -0.04234326258301735, 0.031226452440023422, 0.030400434508919716, 2.434789142901719e-33, -0.008272671140730381, -0.04261326044797897, 0.06070452183485031, -0.038078244775533676, 0.09917909651994705, 0.018126998096704483, 0.03202449157834053, -0.04715883731842041, 0.046512991189956665, 0.042015284299850464, -0.057623788714408875, -0.05630897730588913, 0.048371654003858566, 0.01712469384074211, 0.11201952397823334, -0.07887642830610275, -0.0077361129224300385, 0.03807665780186653, 0.009005234576761723, -0.12029797583818436, 0.0506126843392849, -0.11331797391176224, 0.07898276299238205, 0.003241658443585038, 0.04007607325911522, -0.07918547093868256, -0.030973492190241814, 0.010686066001653671, 0.018969915807247162, -0.000027334506739862263, -0.039202019572257996, 0.030343715101480484, 0.08807030320167542, 0.05579783022403717, -0.06871116161346436, 0.03187820315361023, 0.04898243770003319, 0.01550833135843277, -0.05106290802359581, 0.004343104083091021, 0.017052773386240005, 0.03550952672958374, 0.12964221835136414, 0.05944141373038292, 0.03227528929710388, -0.04967852309346199, 0.0027741664089262486, 0.0026431686710566282, -0.07839574664831161, -0.012209889478981495, -0.035961050540208817, 0.03600995987653732, 0.039476554840803146, 0.0002857546496670693, 0.05694492161273956, 0.006271716672927141, 0.051379602402448654, 0.0082198241725564, 0.01808990351855755, 0.036129195243120193, -0.04446807876229286, -0.008525490760803223, -0.004660703707486391, 0.024618513882160187, 0.03427506238222122, 0.1086803749203682, 0.013634965755045414, -0.07506991177797318, 0.04505061358213425, -0.021169908344745636, -0.027261817827820778, -0.06655226647853851, -0.03179236501455307, -0.059183213859796524, -0.04273085668683052, 0.010616141371428967, -0.037895720452070236, 0.01671590469777584, 0.002015484496951103, 0.0318751186132431, -0.029209863394498825, 0.0400054007768631, -0.009786835871636868, -0.11727789044380188, -0.05735812708735466, -0.06350930035114288, 0.041917793452739716, -0.014296397566795349, 0.007484045810997486, 0.017956538125872612, -0.012577840127050877, 0.029528040438890457, -0.021293403580784798, 0.0329163521528244, 0.0808488130569458, -5.034313166153627e-33, -0.07131215184926987, 0.02540513314306736, 0.04752841591835022, 0.03409714251756668, 0.055510781705379486, -0.06079962104558945, -0.0045762378722429276, -0.0686524510383606, -0.016543472185730934, -0.026329679414629936, -0.06413201987743378, -0.020443793386220932, 0.0058954013511538506, -0.02632232941687107, -0.0329904779791832, -0.025799090042710304, -0.039284829050302505, 0.020576171576976776, 0.03493079915642738, -0.013716557063162327, 0.0476207472383976, 0.027981584891676903, -0.04822869598865509, -0.014183048158884048, 0.09985373169183731, -0.03103611432015896, -0.008715666830539703, 0.022675594314932823, -0.08087886869907379, -0.019734317436814308, -0.03771214187145233, -0.09258183091878891, -0.11002591252326965, 0.08558009564876556, 0.097509004175663, 0.025953244417905807, 0.06572621315717697, 0.08131330460309982, 0.015115587040781975, 0.0714881494641304, 0.048644814640283585, -0.03619764745235443, -0.021032199263572693, 0.039681173861026764, -0.004774934612214565, -0.0006226699333637953, -0.005584860220551491, -0.0363709032535553, 0.004724868107587099, -0.03737729415297508, -0.0005672993720509112, 0.008550900034606457, 0.029415490105748177, 0.006255341228097677, -0.018681028857827187, -0.014236098155379295, -0.05710814893245697, 0.08167565613985062, 0.10726229101419449, 0.04242444038391113, -0.049773767590522766, -0.012528861872851849, 0.011184845119714737, 0.06348386406898499, -0.0026484273839741945, -0.03166259825229645, -0.03265104815363884, -0.08607164025306702, 0.02518460527062416, 0.030826367437839508, -0.04608958959579468, -0.01869332231581211, -0.04185387119650841, -0.01807309314608574, -0.009699433110654354, 0.08611734211444855, 0.02102942392230034, 0.1282733529806137, -0.047517627477645874, -0.05356134846806526, 0.012305621057748795, 0.0245609562844038, 0.04582081735134125, -0.003958155866712332, 0.05862227827310562, -0.003244696883484721, 0.11052531749010086, -0.008208251558244228, 0.017331438139081, 0.0394718162715435, -0.014380832202732563, -0.02178225852549076, 0.061209674924612045, -0.004659447353333235, -0.0595906637609005, -4.298822986470441e-8, -0.03499225899577141, 0.0042492407374084, -0.05619894340634346, -0.05724259838461876, 0.05176100134849548, 0.04584241285920143, 0.020408540964126587, 0.03471677377820015, -0.022862987592816353, 0.04065624624490738, -0.0008220670279115438, 0.07960989326238632, -0.005679841618984938, 0.07639236748218536, -0.056961771100759506, -0.04707005247473717, -0.11927369982004166, -0.0040991953574121, 0.03383960574865341, -0.030763696879148483, -0.08897104114294052, -0.017807943746447563, 0.016554662957787514, -0.013381783850491047, -0.005898195318877697, -0.026390070095658302, -0.01759137213230133, -0.03661927580833435, -0.013942043296992779, 0.08236359059810638, -0.06140023469924927, -0.03731325641274452, 0.014808159321546555, 0.019106145948171616, 0.01125219278037548, 0.030495529994368553, -0.10822645574808121, -0.05750896409153938, -0.051487963646650314, -0.03607949987053871, 0.06173339858651161, -0.0029588360339403152, 0.038499124348163605, -0.0585249587893486, 0.04528860002756119, -0.05665726587176323, 0.014088793657720089, 0.09592202305793762, -0.004651290830224752, -0.09577091038227081, 0.005239943508058786, -0.036129239946603775, -0.05419847369194031, -0.07715176790952682, 0.0956474095582962, 0.000620416656602174, 0.05893013998866081, -0.06982126086950302, 0.057339269667863846, 0.0048582120798528194, -0.035084497183561325, 0.02673548460006714, -0.07711410522460938, -0.07853518426418304 ]
null
null
null
null
null
null
null
[ 0.019559532403945923, -0.004037739709019661, 0.051336001604795456, -0.005931624677032232, 0.026587842032313347, -0.07420789450407028, 0.03356492891907692, 0.024881232529878616, -0.03667905554175377, 0.029778752475976944, -0.06765957921743393, 0.03981086611747742, 0.04650875926017761, 0.013930338434875011, -0.010240288451313972, 0.04855044558644295, 0.10143016278743744, -0.036530058830976486, -0.038447536528110504, 0.031944241374731064, -0.0005631963140331209, -0.09769528359174728, 0.020961573347449303, -0.11258541792631149, 0.01397241372615099, -0.12128809839487076, 0.025715867057442665, -0.02523830346763134, 0.015834389254450798, 0.056232716888189316, -0.0024068269412964582, -0.01148703321814537, 0.030885670334100723, -0.07716036587953568, 0.03988340497016907, 0.013270477764308453, -0.11261391639709473, -0.07756610214710236, -0.0053864349611103535, 0.07194458693265915, -0.01844889298081398, 0.06344374269247055, 0.020860061049461365, 0.03161442279815674, -0.03395269438624382, -0.039845824241638184, -0.03233487159013748, 0.036437924951314926, -0.0009711032034829259, -0.06253844499588013, -0.02450576424598694, -0.013121885247528553, -0.06785506010055542, -0.045769091695547104, 0.05496308580040932, -0.08661558479070663, -0.019359339028596878, -0.05337996408343315, -0.014539754949510098, 0.08872223645448685, 0.1077694445848465, -0.08451107144355774, -0.051871176809072495, -0.00013149541337043047, 0.05305827036499977, -0.02276841551065445, 0.103389672935009, -0.004428381100296974, -0.056695740669965744, 0.07517139613628387, -0.05707627534866333, 0.007526230998337269, -0.11326587945222855, 0.060392383486032486, 0.1440986543893814, 0.06226586550474167, 0.08859691023826599, -0.019003523513674736, -0.08241735398769379, -0.005586580373346806, -0.058525409549474716, 0.035352423787117004, -0.02742699161171913, 0.027962196618318558, 0.008036150597035885, 0.001563224708661437, -0.003063350450247526, 0.0361703559756279, 0.05908660218119621, -0.0007018657634034753, -0.06586258113384247, -0.05643351003527641, -0.0841798335313797, 0.0573233962059021, -0.01063400786370039, -0.02731993980705738, 0.003955693915486336, -0.02181333862245083, -0.06383755058050156, 0.03677032142877579, -0.016031576320528984, -0.05533856153488159, 0.09813380241394043, -0.031905706971883774, -0.034536149352788925, -0.029179446399211884, 0.02926408126950264, 0.06459054350852966, 0.009470506571233273, -0.021199151873588562, 0.002001314191147685, 0.09095294028520584, 0.03582588955760002, 0.04526444524526596, -0.10918166488409042, 0.018976403400301933, 0.04231255501508713, 0.00699684489518404, 0.003687165444716811, 0.07227394729852676, -0.05285482481122017, 0.06591442227363586, 0.03531510382890701, -0.022082284092903137, -0.04234326258301735, 0.031226452440023422, 0.030400434508919716, 2.434789142901719e-33, -0.008272671140730381, -0.04261326044797897, 0.06070452183485031, -0.038078244775533676, 0.09917909651994705, 0.018126998096704483, 0.03202449157834053, -0.04715883731842041, 0.046512991189956665, 0.042015284299850464, -0.057623788714408875, -0.05630897730588913, 0.048371654003858566, 0.01712469384074211, 0.11201952397823334, -0.07887642830610275, -0.0077361129224300385, 0.03807665780186653, 0.009005234576761723, -0.12029797583818436, 0.0506126843392849, -0.11331797391176224, 0.07898276299238205, 0.003241658443585038, 0.04007607325911522, -0.07918547093868256, -0.030973492190241814, 0.010686066001653671, 0.018969915807247162, -0.000027334506739862263, -0.039202019572257996, 0.030343715101480484, 0.08807030320167542, 0.05579783022403717, -0.06871116161346436, 0.03187820315361023, 0.04898243770003319, 0.01550833135843277, -0.05106290802359581, 0.004343104083091021, 0.017052773386240005, 0.03550952672958374, 0.12964221835136414, 0.05944141373038292, 0.03227528929710388, -0.04967852309346199, 0.0027741664089262486, 0.0026431686710566282, -0.07839574664831161, -0.012209889478981495, -0.035961050540208817, 0.03600995987653732, 0.039476554840803146, 0.0002857546496670693, 0.05694492161273956, 0.006271716672927141, 0.051379602402448654, 0.0082198241725564, 0.01808990351855755, 0.036129195243120193, -0.04446807876229286, -0.008525490760803223, -0.004660703707486391, 0.024618513882160187, 0.03427506238222122, 0.1086803749203682, 0.013634965755045414, -0.07506991177797318, 0.04505061358213425, -0.021169908344745636, -0.027261817827820778, -0.06655226647853851, -0.03179236501455307, -0.059183213859796524, -0.04273085668683052, 0.010616141371428967, -0.037895720452070236, 0.01671590469777584, 0.002015484496951103, 0.0318751186132431, -0.029209863394498825, 0.0400054007768631, -0.009786835871636868, -0.11727789044380188, -0.05735812708735466, -0.06350930035114288, 0.041917793452739716, -0.014296397566795349, 0.007484045810997486, 0.017956538125872612, -0.012577840127050877, 0.029528040438890457, -0.021293403580784798, 0.0329163521528244, 0.0808488130569458, -5.034313166153627e-33, -0.07131215184926987, 0.02540513314306736, 0.04752841591835022, 0.03409714251756668, 0.055510781705379486, -0.06079962104558945, -0.0045762378722429276, -0.0686524510383606, -0.016543472185730934, -0.026329679414629936, -0.06413201987743378, -0.020443793386220932, 0.0058954013511538506, -0.02632232941687107, -0.0329904779791832, -0.025799090042710304, -0.039284829050302505, 0.020576171576976776, 0.03493079915642738, -0.013716557063162327, 0.0476207472383976, 0.027981584891676903, -0.04822869598865509, -0.014183048158884048, 0.09985373169183731, -0.03103611432015896, -0.008715666830539703, 0.022675594314932823, -0.08087886869907379, -0.019734317436814308, -0.03771214187145233, -0.09258183091878891, -0.11002591252326965, 0.08558009564876556, 0.097509004175663, 0.025953244417905807, 0.06572621315717697, 0.08131330460309982, 0.015115587040781975, 0.0714881494641304, 0.048644814640283585, -0.03619764745235443, -0.021032199263572693, 0.039681173861026764, -0.004774934612214565, -0.0006226699333637953, -0.005584860220551491, -0.0363709032535553, 0.004724868107587099, -0.03737729415297508, -0.0005672993720509112, 0.008550900034606457, 0.029415490105748177, 0.006255341228097677, -0.018681028857827187, -0.014236098155379295, -0.05710814893245697, 0.08167565613985062, 0.10726229101419449, 0.04242444038391113, -0.049773767590522766, -0.012528861872851849, 0.011184845119714737, 0.06348386406898499, -0.0026484273839741945, -0.03166259825229645, -0.03265104815363884, -0.08607164025306702, 0.02518460527062416, 0.030826367437839508, -0.04608958959579468, -0.01869332231581211, -0.04185387119650841, -0.01807309314608574, -0.009699433110654354, 0.08611734211444855, 0.02102942392230034, 0.1282733529806137, -0.047517627477645874, -0.05356134846806526, 0.012305621057748795, 0.0245609562844038, 0.04582081735134125, -0.003958155866712332, 0.05862227827310562, -0.003244696883484721, 0.11052531749010086, -0.008208251558244228, 0.017331438139081, 0.0394718162715435, -0.014380832202732563, -0.02178225852549076, 0.061209674924612045, -0.004659447353333235, -0.0595906637609005, -4.298822986470441e-8, -0.03499225899577141, 0.0042492407374084, -0.05619894340634346, -0.05724259838461876, 0.05176100134849548, 0.04584241285920143, 0.020408540964126587, 0.03471677377820015, -0.022862987592816353, 0.04065624624490738, -0.0008220670279115438, 0.07960989326238632, -0.005679841618984938, 0.07639236748218536, -0.056961771100759506, -0.04707005247473717, -0.11927369982004166, -0.0040991953574121, 0.03383960574865341, -0.030763696879148483, -0.08897104114294052, -0.017807943746447563, 0.016554662957787514, -0.013381783850491047, -0.005898195318877697, -0.026390070095658302, -0.01759137213230133, -0.03661927580833435, -0.013942043296992779, 0.08236359059810638, -0.06140023469924927, -0.03731325641274452, 0.014808159321546555, 0.019106145948171616, 0.01125219278037548, 0.030495529994368553, -0.10822645574808121, -0.05750896409153938, -0.051487963646650314, -0.03607949987053871, 0.06173339858651161, -0.0029588360339403152, 0.038499124348163605, -0.0585249587893486, 0.04528860002756119, -0.05665726587176323, 0.014088793657720089, 0.09592202305793762, -0.004651290830224752, -0.09577091038227081, 0.005239943508058786, -0.036129239946603775, -0.05419847369194031, -0.07715176790952682, 0.0956474095582962, 0.000620416656602174, 0.05893013998866081, -0.06982126086950302, 0.057339269667863846, 0.0048582120798528194, -0.035084497183561325, 0.02673548460006714, -0.07711410522460938, -0.07853518426418304 ]
1402.0428
Li Ge
Li Ge and A. Douglas Stone
Parity-Time Symmetry Breaking beyond One Dimension: The Role of Degeneracy
8 pages, 6 figures
Phys. Rev. X 4, 031011 (2014)
null
null
quant-ph physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider the role of degeneracy in Parity-Time (PT) symmetry breaking for non-hermitian wave equations beyond one dimension. We show that if the spectrum is degenerate in the absence of T-breaking, and T is broken in a generic manner (without preserving other discrete symmetries), then the standard PT-symmetry breaking transition does not occur, meaning that the spectrum is complex even for infinitesimal strength of gain and loss. However the realness of the entire spectrum can be preserved over a finite interval if additional discrete symmetries X are imposed when T is broken, if X decouple all degenerate modes. When this is true only for a subset of the degenerate spectrum, there can be a partial PT transition in which this subset remains real over a finite interval of T-breaking. If the spectrum has odd-degeneracy, a fraction of the degenerate spectrum can remain in the symmetric phase even without imposing additional discrete symmetries, and they are analogous to dark states in atomic physics. These results are illustrated by the example of different T-breaking perturbations of a uniform dielectric disk and sphere, and a group theoretical analysis is given in the disk case. Finally, we show that multimode coupling is capable of restoring the T-symmetric phase at finite T-breaking. We also analyze these questions when the parity operator is replaced by another spatial symmetry operator and find that the behavior can be qualitatively different.
[ { "created": "Mon, 3 Feb 2014 16:54:56 GMT", "version": "v1" }, { "created": "Wed, 13 Aug 2014 20:18:03 GMT", "version": "v2" } ]
2014-08-15
[ [ "Ge", "Li", "" ], [ "Stone", "A. Douglas", "" ] ]
[ -0.10777004808187485, -0.01819664053618908, 0.09430504590272903, 0.031408533453941345, 0.02013440616428852, -0.027405139058828354, 0.0043242694810032845, -0.006642098072916269, 0.0005198419676162302, -0.0154373524710536, 0.07075241953134537, -0.04715418815612793, -0.11499477922916412, -0.05330421403050423, 0.14465241134166718, -0.0577094741165638, -0.019173312932252884, -0.025984032079577446, 0.0063431900925934315, 0.031301066279411316, 0.04707125946879387, -0.037078242748975754, -0.06921564042568207, 0.006799655966460705, 0.033592429012060165, -0.029453648254275322, 0.03159673884510994, -0.018085075542330742, 0.011195491999387741, -0.02490520104765892, 0.025741098448634148, 0.007951634004712105, -0.04668452963232994, 0.02149115316569805, 0.040355339646339417, 0.0036889659240841866, 0.08360414952039719, 0.044626399874687195, 0.02315077930688858, -0.032584331929683685, 0.01192187238484621, 0.047383684664964676, -0.1302395612001419, 0.0015541365137323737, -0.01586054265499115, -0.021568799391388893, 0.09333478659391403, -0.04840241000056267, -0.12257596850395203, -0.043114982545375824, 0.06327949464321136, 0.19267599284648895, 0.0041259475983679295, 0.07708385586738586, -0.03200088068842888, 0.010333782993257046, 0.014293115586042404, 0.06974326819181442, -0.008605757728219032, -0.07846461981534958, 0.00629633292555809, -0.003056976245716214, -0.027473587542772293, -0.09860651195049286, 0.0873483344912529, 0.023271963000297546, 0.039048511534929276, -0.019229227676987648, 0.018106093630194664, 0.054674193263053894, -0.07113960385322571, -0.019568709656596184, -0.0004285097529646009, 0.001719110645353794, 0.06936750560998917, 0.029991060495376587, -0.021133380010724068, -0.040119245648384094, -0.036000244319438934, 0.01962600089609623, 0.014119330793619156, 0.0008843286777846515, 0.0326988659799099, -0.03662600740790367, 0.01407893281430006, -0.0337006151676178, -0.02365836314857006, 0.020584240555763245, -0.0034764730371534824, -0.031864214688539505, -0.017193041741847992, 0.045603252947330475, -0.02788560651242733, -0.005884076002985239, 0.0875009223818779, 0.0018652745056897402, 0.00544997863471508, -0.03421777859330177, 0.10960407555103302, 0.05499475449323654, 0.000989360618405044, -0.10851272940635681, 0.009947857819497585, 0.05564827471971512, -0.005666548386216164, -0.028514502570033073, -0.04465515911579132, -0.039386142045259476, -0.018050504848361015, 0.020937439054250717, 0.041737478226423264, -0.005265035666525364, 0.034225862473249435, -0.021400680765509605, -0.020282024517655373, 0.008088848553597927, -0.05094633996486664, 0.06957012414932251, 0.055262014269828796, 0.013528565876185894, 0.010666289366781712, 0.03963970020413399, -0.022618556395173073, 0.10253587365150452, 0.02979852445423603, 0.09089109301567078, 0.019305424764752388, 5.332738855732758e-33, 0.008169040083885193, 0.010758664458990097, -0.03686369210481644, -0.008617172949016094, 0.03355110064148903, 0.028314225375652313, 0.01194137241691351, 0.026567580178380013, -0.02583185024559498, 0.030847670510411263, -0.003915921784937382, -0.0130610978230834, 0.0521986223757267, -0.06022685021162033, -0.0028506049420684576, 0.09351078420877457, -0.036164864897727966, -0.00721406564116478, 0.03404196724295616, -0.08162840455770493, 0.03382942080497742, 0.05416686087846756, -0.05677507817745209, 0.005873654503375292, -0.0024852650240063667, -0.002961086807772517, 0.07955202460289001, -0.013728697784245014, -0.06115610525012016, 0.005820604972541332, -0.06359680742025375, -0.02296692319214344, 0.030215540900826454, 0.036165378987789154, 0.09177849441766739, 0.01205381378531456, 0.00217599724419415, 0.027795514091849327, -0.017168646678328514, -0.07831720262765884, -0.10025716572999954, -0.030569037422537804, -0.03990282863378525, 0.07350923120975494, -0.01860797591507435, -0.07591265439987183, 0.1228475570678711, -0.0282409880310297, -0.1166195198893547, -0.06270943582057953, -0.027082741260528564, -0.06198219209909439, -0.1036912202835083, -0.06619373708963394, -0.017240747809410095, 0.016911959275603294, 0.09427988529205322, -0.003926487173885107, 0.032833732664585114, 0.021523263305425644, 0.0917493924498558, -0.03804546222090721, -0.002857180079445243, -0.05083295702934265, -0.035531263798475266, -0.009318530559539795, -0.07799985259771347, -0.050660282373428345, 0.08900517970323563, -0.06450662761926651, -0.021613530814647675, 0.0334002785384655, 0.017612475901842117, -0.07857707887887955, 0.06636753678321838, -0.05395911633968353, 0.0499376580119133, 0.038853611797094345, -0.019565235823392868, 0.05576381832361221, -0.04216771945357323, -0.03940924257040024, -0.047971926629543304, -0.0343308262526989, 0.005730999633669853, -0.022722074761986732, -0.08022412657737732, -0.12768076360225677, 0.013541164807975292, -0.11026646196842194, -0.014958840794861317, -0.05259750410914421, 0.020900908857584, -0.024770770221948624, 0.011719392612576485, -6.28143699992724e-33, -0.03990432992577553, -0.02058405615389347, -0.09697537124156952, 0.06315873563289642, 0.06666354089975357, 0.020379560068249702, -0.059628620743751526, 0.17763018608093262, -0.011005484499037266, -0.038649238646030426, 0.06472839415073395, -0.024098018184304237, -0.07452891767024994, 0.03013279289007187, -0.06190362945199013, 0.010298280045390129, 0.12019264698028564, -0.022628512233495712, 0.0002241034817416221, 0.03426117077469826, -0.0038736590649932623, 0.002055224496871233, 0.05161002278327942, 0.08335763216018677, 0.014059719629585743, -0.00702379597350955, -0.016630249097943306, 0.07080014050006866, 0.06043851375579834, 0.06936445087194443, 0.0030759002547711134, -0.009387695230543613, 0.05922101438045502, 0.09819427132606506, -0.042148489505052567, 0.030378667637705803, -0.07556184381246567, 0.05462110415101051, -0.1129239946603775, 0.0855678990483284, 0.011566203087568283, -0.06649276614189148, 0.03514571860432625, 0.08159183710813522, 0.008862852118909359, -0.054007675498723984, 0.050384342670440674, 0.06278707087039948, -0.09443996101617813, 0.01248556561768055, 0.032764412462711334, -0.024029824882745743, 0.07727158814668655, -0.0026028261054307222, -0.03093794919550419, 0.05030505359172821, 0.02554234489798546, -0.04006499424576759, -0.02995961531996727, 0.04742453619837761, -0.023252973333001137, -0.0401458665728569, 0.0921790823340416, 0.06422155350446701, 0.07320122420787811, -0.03987932577729225, -0.036822639405727386, -0.0399513803422451, 0.02069348841905594, -0.019747277721762657, 0.025309056043624878, -0.03869884833693504, -0.08266203105449677, -0.039707910269498825, 0.027669575065374374, 0.01551232673227787, 0.010077462531626225, -0.002865416929125786, 0.0017777797766029835, -0.01677854172885418, -0.08760195970535278, -0.009158059023320675, -0.02276003360748291, 0.0021940129809081554, 0.012151435017585754, -0.023240787908434868, -0.06680125743150711, 0.048946503549814224, -0.06445193290710449, -0.035112738609313965, -0.0010316330008208752, -0.01200101152062416, -0.013889500871300697, 0.042036037892103195, 0.096458800137043, -5.340235631479118e-8, 0.052078600972890854, -0.02751314826309681, -0.05447717383503914, 0.0630207359790802, 0.05983175337314606, -0.045356132090091705, -0.011716765351593494, -0.02805747278034687, 0.04415192827582359, 0.02864484302699566, 0.01914983056485653, -0.010889062657952309, -0.06947869807481766, -0.0250200517475605, -0.054243214428424835, 0.02743981033563614, -0.009787674993276596, 0.003375005442649126, -0.010747269727289677, -0.01404679287225008, -0.05715825781226158, -0.026661278679966927, -0.004607995040714741, -0.051379572600126266, 0.00044391938718035817, 0.008275138214230537, -0.042672738432884216, -0.1076265498995781, 0.037924472242593765, 0.04334878548979759, 0.014864413067698479, 0.0013673799112439156, 0.01629580557346344, 0.1056121438741684, -0.04392382875084877, -0.028165556490421295, -0.07378625869750977, 0.04300373047590256, -0.03755982220172882, 0.022907737642526627, 0.03197500854730606, 0.11768054962158203, -0.0331621989607811, 0.02790200710296631, 0.017940601333975792, 0.05732710659503937, -0.009509824216365814, 0.017525462433695793, 0.016510361805558205, 0.0660858005285263, -0.04792898893356323, 0.037470173090696335, -0.049128931015729904, -0.034612566232681274, -0.07668083161115646, 0.03007758967578411, -0.002084658946841955, -0.027573438361287117, 0.0065983314998447895, 0.046111367642879486, 0.04938476160168648, -0.014769932255148888, -0.03865150734782219, 0.046319182962179184 ]
null
null
null
null
null
null
null
[ -0.10777004808187485, -0.01819664053618908, 0.09430504590272903, 0.031408533453941345, 0.02013440616428852, -0.027405139058828354, 0.0043242694810032845, -0.006642098072916269, 0.0005198419676162302, -0.0154373524710536, 0.07075241953134537, -0.04715418815612793, -0.11499477922916412, -0.05330421403050423, 0.14465241134166718, -0.0577094741165638, -0.019173312932252884, -0.025984032079577446, 0.0063431900925934315, 0.031301066279411316, 0.04707125946879387, -0.037078242748975754, -0.06921564042568207, 0.006799655966460705, 0.033592429012060165, -0.029453648254275322, 0.03159673884510994, -0.018085075542330742, 0.011195491999387741, -0.02490520104765892, 0.025741098448634148, 0.007951634004712105, -0.04668452963232994, 0.02149115316569805, 0.040355339646339417, 0.0036889659240841866, 0.08360414952039719, 0.044626399874687195, 0.02315077930688858, -0.032584331929683685, 0.01192187238484621, 0.047383684664964676, -0.1302395612001419, 0.0015541365137323737, -0.01586054265499115, -0.021568799391388893, 0.09333478659391403, -0.04840241000056267, -0.12257596850395203, -0.043114982545375824, 0.06327949464321136, 0.19267599284648895, 0.0041259475983679295, 0.07708385586738586, -0.03200088068842888, 0.010333782993257046, 0.014293115586042404, 0.06974326819181442, -0.008605757728219032, -0.07846461981534958, 0.00629633292555809, -0.003056976245716214, -0.027473587542772293, -0.09860651195049286, 0.0873483344912529, 0.023271963000297546, 0.039048511534929276, -0.019229227676987648, 0.018106093630194664, 0.054674193263053894, -0.07113960385322571, -0.019568709656596184, -0.0004285097529646009, 0.001719110645353794, 0.06936750560998917, 0.029991060495376587, -0.021133380010724068, -0.040119245648384094, -0.036000244319438934, 0.01962600089609623, 0.014119330793619156, 0.0008843286777846515, 0.0326988659799099, -0.03662600740790367, 0.01407893281430006, -0.0337006151676178, -0.02365836314857006, 0.020584240555763245, -0.0034764730371534824, -0.031864214688539505, -0.017193041741847992, 0.045603252947330475, -0.02788560651242733, -0.005884076002985239, 0.0875009223818779, 0.0018652745056897402, 0.00544997863471508, -0.03421777859330177, 0.10960407555103302, 0.05499475449323654, 0.000989360618405044, -0.10851272940635681, 0.009947857819497585, 0.05564827471971512, -0.005666548386216164, -0.028514502570033073, -0.04465515911579132, -0.039386142045259476, -0.018050504848361015, 0.020937439054250717, 0.041737478226423264, -0.005265035666525364, 0.034225862473249435, -0.021400680765509605, -0.020282024517655373, 0.008088848553597927, -0.05094633996486664, 0.06957012414932251, 0.055262014269828796, 0.013528565876185894, 0.010666289366781712, 0.03963970020413399, -0.022618556395173073, 0.10253587365150452, 0.02979852445423603, 0.09089109301567078, 0.019305424764752388, 5.332738855732758e-33, 0.008169040083885193, 0.010758664458990097, -0.03686369210481644, -0.008617172949016094, 0.03355110064148903, 0.028314225375652313, 0.01194137241691351, 0.026567580178380013, -0.02583185024559498, 0.030847670510411263, -0.003915921784937382, -0.0130610978230834, 0.0521986223757267, -0.06022685021162033, -0.0028506049420684576, 0.09351078420877457, -0.036164864897727966, -0.00721406564116478, 0.03404196724295616, -0.08162840455770493, 0.03382942080497742, 0.05416686087846756, -0.05677507817745209, 0.005873654503375292, -0.0024852650240063667, -0.002961086807772517, 0.07955202460289001, -0.013728697784245014, -0.06115610525012016, 0.005820604972541332, -0.06359680742025375, -0.02296692319214344, 0.030215540900826454, 0.036165378987789154, 0.09177849441766739, 0.01205381378531456, 0.00217599724419415, 0.027795514091849327, -0.017168646678328514, -0.07831720262765884, -0.10025716572999954, -0.030569037422537804, -0.03990282863378525, 0.07350923120975494, -0.01860797591507435, -0.07591265439987183, 0.1228475570678711, -0.0282409880310297, -0.1166195198893547, -0.06270943582057953, -0.027082741260528564, -0.06198219209909439, -0.1036912202835083, -0.06619373708963394, -0.017240747809410095, 0.016911959275603294, 0.09427988529205322, -0.003926487173885107, 0.032833732664585114, 0.021523263305425644, 0.0917493924498558, -0.03804546222090721, -0.002857180079445243, -0.05083295702934265, -0.035531263798475266, -0.009318530559539795, -0.07799985259771347, -0.050660282373428345, 0.08900517970323563, -0.06450662761926651, -0.021613530814647675, 0.0334002785384655, 0.017612475901842117, -0.07857707887887955, 0.06636753678321838, -0.05395911633968353, 0.0499376580119133, 0.038853611797094345, -0.019565235823392868, 0.05576381832361221, -0.04216771945357323, -0.03940924257040024, -0.047971926629543304, -0.0343308262526989, 0.005730999633669853, -0.022722074761986732, -0.08022412657737732, -0.12768076360225677, 0.013541164807975292, -0.11026646196842194, -0.014958840794861317, -0.05259750410914421, 0.020900908857584, -0.024770770221948624, 0.011719392612576485, -6.28143699992724e-33, -0.03990432992577553, -0.02058405615389347, -0.09697537124156952, 0.06315873563289642, 0.06666354089975357, 0.020379560068249702, -0.059628620743751526, 0.17763018608093262, -0.011005484499037266, -0.038649238646030426, 0.06472839415073395, -0.024098018184304237, -0.07452891767024994, 0.03013279289007187, -0.06190362945199013, 0.010298280045390129, 0.12019264698028564, -0.022628512233495712, 0.0002241034817416221, 0.03426117077469826, -0.0038736590649932623, 0.002055224496871233, 0.05161002278327942, 0.08335763216018677, 0.014059719629585743, -0.00702379597350955, -0.016630249097943306, 0.07080014050006866, 0.06043851375579834, 0.06936445087194443, 0.0030759002547711134, -0.009387695230543613, 0.05922101438045502, 0.09819427132606506, -0.042148489505052567, 0.030378667637705803, -0.07556184381246567, 0.05462110415101051, -0.1129239946603775, 0.0855678990483284, 0.011566203087568283, -0.06649276614189148, 0.03514571860432625, 0.08159183710813522, 0.008862852118909359, -0.054007675498723984, 0.050384342670440674, 0.06278707087039948, -0.09443996101617813, 0.01248556561768055, 0.032764412462711334, -0.024029824882745743, 0.07727158814668655, -0.0026028261054307222, -0.03093794919550419, 0.05030505359172821, 0.02554234489798546, -0.04006499424576759, -0.02995961531996727, 0.04742453619837761, -0.023252973333001137, -0.0401458665728569, 0.0921790823340416, 0.06422155350446701, 0.07320122420787811, -0.03987932577729225, -0.036822639405727386, -0.0399513803422451, 0.02069348841905594, -0.019747277721762657, 0.025309056043624878, -0.03869884833693504, -0.08266203105449677, -0.039707910269498825, 0.027669575065374374, 0.01551232673227787, 0.010077462531626225, -0.002865416929125786, 0.0017777797766029835, -0.01677854172885418, -0.08760195970535278, -0.009158059023320675, -0.02276003360748291, 0.0021940129809081554, 0.012151435017585754, -0.023240787908434868, -0.06680125743150711, 0.048946503549814224, -0.06445193290710449, -0.035112738609313965, -0.0010316330008208752, -0.01200101152062416, -0.013889500871300697, 0.042036037892103195, 0.096458800137043, -5.340235631479118e-8, 0.052078600972890854, -0.02751314826309681, -0.05447717383503914, 0.0630207359790802, 0.05983175337314606, -0.045356132090091705, -0.011716765351593494, -0.02805747278034687, 0.04415192827582359, 0.02864484302699566, 0.01914983056485653, -0.010889062657952309, -0.06947869807481766, -0.0250200517475605, -0.054243214428424835, 0.02743981033563614, -0.009787674993276596, 0.003375005442649126, -0.010747269727289677, -0.01404679287225008, -0.05715825781226158, -0.026661278679966927, -0.004607995040714741, -0.051379572600126266, 0.00044391938718035817, 0.008275138214230537, -0.042672738432884216, -0.1076265498995781, 0.037924472242593765, 0.04334878548979759, 0.014864413067698479, 0.0013673799112439156, 0.01629580557346344, 0.1056121438741684, -0.04392382875084877, -0.028165556490421295, -0.07378625869750977, 0.04300373047590256, -0.03755982220172882, 0.022907737642526627, 0.03197500854730606, 0.11768054962158203, -0.0331621989607811, 0.02790200710296631, 0.017940601333975792, 0.05732710659503937, -0.009509824216365814, 0.017525462433695793, 0.016510361805558205, 0.0660858005285263, -0.04792898893356323, 0.037470173090696335, -0.049128931015729904, -0.034612566232681274, -0.07668083161115646, 0.03007758967578411, -0.002084658946841955, -0.027573438361287117, 0.0065983314998447895, 0.046111367642879486, 0.04938476160168648, -0.014769932255148888, -0.03865150734782219, 0.046319182962179184 ]
1402.0429
Tabrez Ali
S. Tabrez Ali
Defmod - Parallel multiphysics finite element code for modeling crustal deformation during the earthquake/rifting cycle
null
null
null
null
physics.geo-ph cs.CE physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this article, we present Defmod, an open source, fully unstructured, two or three dimensional, parallel finite element code for modeling crustal deformation over time scales ranging from milliseconds to thousands of years. Unlike existing public domain numerical codes, Defmod can simulate deformation due to all major processes that make up the earthquake/rifting cycle, in non-homogeneous media. Specifically, it can be used to model deformation due to dynamic and quasistatic processes such as co-seismic slip or dike intrusion(s), poroelastic rebound due to fluid flow and post-seismic or post-rifting viscoelastic relaxation. It can also be used to model deformation due to processes such as post-glacial rebound, hydrological (un)loading, injection and/or withdrawal of fluids from subsurface reservoirs etc. Defmod is written in Fortran 95 and uses PETSc's parallel sparse data structures and implicit solvers. Problems can be solved using (stabilized) linear triangular, quadrilateral, tetrahedral or hexahedral elements on shared or distributed memory machines with hundreds or even thousands of processor cores. In the current version of the code, prescribed loading is supported. Results are written in ASCII VTK format for easy visualization. The source code is released under the terms of GNU General Public License (v3.0) and is freely available from https://bitbucket.org/stali/defmod/.
[ { "created": "Mon, 3 Feb 2014 16:55:11 GMT", "version": "v1" }, { "created": "Mon, 14 Jul 2014 18:57:13 GMT", "version": "v2" }, { "created": "Wed, 30 Dec 2015 19:19:20 GMT", "version": "v3" } ]
2015-12-31
[ [ "Ali", "S. Tabrez", "" ] ]
[ -0.08468082547187805, -0.046886004507541656, 0.08517707139253616, -0.0009869071654975414, -0.04956311360001564, -0.1287526786327362, -0.10312027484178543, 0.04844271391630173, -0.02532511204481125, -0.004308183677494526, -0.02279128134250641, -0.06432245671749115, 0.03210847079753876, -0.029834235087037086, 0.03025849536061287, -0.046298712491989136, -0.10274699330329895, 0.04427896812558174, 0.03864404559135437, 0.019790614023804665, 0.058358084410429, 0.029337184503674507, -0.14856626093387604, 0.003467542352154851, 0.0018522385507822037, 0.051614388823509216, 0.045241739600896835, 0.0466226302087307, -0.017194250598549843, -0.000022729247575625777, 0.04622267931699753, 0.022320900112390518, -0.07998925447463989, -0.0018153770361095667, 0.026186738163232803, 0.08254729211330414, -0.03790083900094032, -0.031031062826514244, -0.12690258026123047, 0.06980562955141068, -0.06875503063201904, 0.01887592487037182, 0.0785951316356659, -0.035734426230192184, 0.07350585609674454, -0.022580552846193314, 0.010934948921203613, -0.038890305906534195, -0.051196642220020294, 0.0172545425593853, -0.014342954382300377, -0.048952922224998474, -0.01623407006263733, -0.0017143231816589832, -0.059924859553575516, -0.10790586471557617, 0.030491627752780914, -0.08785393089056015, 0.01614093780517578, -0.04611976444721222, 0.010135580785572529, 0.022646600380539894, -0.02622433938086033, -0.024565638974308968, -0.02448991686105728, 0.010342765599489212, 0.043375108391046524, -0.012641496025025845, -0.021588696166872978, -0.000497680448461324, -0.007136679254472256, 0.02707795426249504, 0.06305186450481415, -0.04925738275051117, 0.015261966735124588, -0.060409147292375565, 0.0017584027955308557, 0.02209317684173584, -0.013362472876906395, -0.09909658133983612, 0.03600378707051277, 0.07214132696390152, 0.008281330578029156, -0.09449328482151031, -0.06685788929462433, -0.008967679925262928, -0.02505091205239296, 0.08838079124689102, 0.048202235251665115, 0.040419913828372955, 0.10893407464027405, 0.04083250090479851, -0.0069306399673223495, 0.05679016187787056, 0.07219091802835464, 0.03677741065621376, 0.049662601202726364, 0.026632335036993027, 0.02203306369483471, 0.06999629735946655, -0.03411160409450531, 0.04099852964282036, 0.010150999762117863, 0.07304783165454865, 0.06514433771371841, -0.04579920321702957, 0.03148912638425827, 0.08935113996267319, 0.012076827697455883, 0.0034520102199167013, -0.0187276229262352, -0.01677125319838524, 0.0036686514504253864, -0.054959505796432495, 0.03904460743069649, -0.05910781770944595, 0.006912745535373688, -0.06089003011584282, 0.0513269305229187, 0.004056303761899471, 0.020051976665854454, -0.07124371081590652, -0.017793718725442886, 0.06823158264160156, 0.05039966106414795, -0.045153118669986725, -0.06615360826253891, 3.830161365084246e-33, 0.03453412652015686, 0.04061051085591316, -0.05454615131020546, 0.07627696543931961, -0.00537655595690012, -0.042720578610897064, -0.015444442629814148, -0.016253698617219925, -0.11047378182411194, 0.006960710510611534, -0.08134672790765762, 0.03932071477174759, -0.013384388759732246, 0.06681454926729202, -0.038670264184474945, -0.05506956949830055, 0.04565393179655075, 0.021924709901213646, 0.023423071950674057, 0.0034837466664612293, 0.05224340781569481, -0.06819343566894531, -0.011990854516625404, 0.0179689172655344, 0.008849415928125381, 0.021809469908475876, -0.03908383846282959, -0.08204007893800735, -0.025955351069569588, -0.0003999812761321664, 0.015601493418216705, -0.03483938053250313, -0.01273779384791851, 0.009218904189765453, 0.07257474958896637, 0.011875135824084282, 0.04645027965307236, -0.039981428533792496, -0.0454452708363533, -0.013293757103383541, 0.03712887689471245, -0.05216579884290695, 0.03261798620223999, 0.022782359272241592, -0.012982577085494995, -0.05268532782793045, 0.08427216112613678, 0.07293138653039932, 0.004957136232405901, -0.0642625093460083, 0.09790768474340439, 0.11573296785354614, -0.009736273437738419, -0.021092042326927185, -0.03706032782793045, 0.02243286930024624, 0.016996223479509354, -0.05099361389875412, 0.035686194896698, 0.16355659067630768, 0.03104802593588829, -0.0033493477385491133, 0.06962220370769501, 0.0030221082270145416, 0.0106039484962821, -0.045092061161994934, 0.005555761978030205, 0.08515605330467224, 0.07508740574121475, 0.057433947920799255, -0.062488019466400146, -0.02903122641146183, 0.07436095178127289, 0.008805016987025738, 0.007963993586599827, -0.0622231662273407, 0.06816456466913223, -0.059517111629247665, -0.05014894902706146, 0.031780701130628586, -0.009897163137793541, 0.01503010280430317, -0.020709052681922913, 0.017164433375000954, -0.037480223923921585, 0.02031334675848484, 0.08403370529413223, -0.003432521130889654, -0.018388928845524788, -0.08908774703741074, -0.12163468450307846, -0.017723489552736282, 0.09729176759719849, -0.1234600692987442, 0.02353978157043457, -4.472392703656003e-33, -0.027224458754062653, 0.017413048073649406, -0.09697971493005753, 0.045455485582351685, 0.003196158679202199, -0.05225011333823204, 0.0055529712699353695, 0.06255806982517242, -0.016172321513295174, -0.0996292307972908, 0.014877848327159882, -0.06868790835142136, 0.07088449597358704, 0.003978395834565163, 0.027355294674634933, 0.04492523521184921, -0.06851484626531601, -0.1281225085258484, -0.07034088671207428, 0.005605630110949278, -0.043456029146909714, -0.003697578562423587, 0.0011670441599562764, -0.05131985992193222, -0.040185846388339996, 0.036619462072849274, -0.1049487292766571, -0.01291230134665966, 0.012503706850111485, 0.048565808683633804, -0.08174742013216019, 0.01822241209447384, 0.00642135227099061, -0.0017987439641728997, -0.05229141563177109, 0.058222830295562744, -0.03459101915359497, -0.028082696720957756, 0.0086761973798275, -0.10119715332984924, 0.034545090049505234, 0.06317588686943054, -0.027962513267993927, 0.006919217295944691, 0.051983922719955444, 0.05893988907337189, 0.037848349660634995, 0.02549767680466175, 0.026667483150959015, 0.03846333548426628, -0.025243911892175674, 0.0243047084659338, -0.013683847151696682, -0.0004686613683588803, 0.07236276566982269, -0.02736465074121952, -0.0801142007112503, -0.07815706729888916, -0.09250485897064209, -0.05279840528964996, -0.04867047816514969, -0.07031793892383575, 0.06263713538646698, 0.007565055973827839, 0.046987563371658325, -0.04406479373574257, -0.00821300782263279, -0.07160145789384842, -0.0931270644068718, 0.07672232389450073, -0.02924765646457672, 0.014645340852439404, -0.04931805655360222, -0.025959225371479988, 0.03359263390302658, -0.04749719053506851, -0.009014733135700226, 0.05319557711482048, -0.04219768941402435, 0.0704960823059082, 0.056109823286533356, 0.012254283763468266, 0.01510884054005146, 0.06767476350069046, 0.010694429278373718, 0.02469889633357525, 0.0642366111278534, 0.0010066807735711336, -0.01809629425406456, 0.0021761602256447077, -0.004135476425290108, -0.03149116784334183, 0.0966961458325386, -0.006012266036123037, -0.01696914993226528, -5.1473765694254325e-8, -0.009684327989816666, 0.019313007593154907, -0.024580540135502815, -0.03131478279829025, 0.06679783016443253, 0.016718635335564613, -0.002306985901668668, -0.0815514326095581, -0.000855914899148047, -0.06671243906021118, 0.0846327617764473, -0.08264242112636566, 0.011500430293381214, 0.014020266011357307, -0.007132430095225573, 0.06462360173463821, 0.048766493797302246, -0.03172296658158302, -0.036511920392513275, -0.037085406482219696, -0.02224535495042801, 0.062170617282390594, -0.017016930505633354, 0.05587843805551529, 0.053915902972221375, 0.030977042391896248, 0.006865415722131729, -0.015469024889171124, 0.02760629542171955, 0.004520571790635586, -0.0479000024497509, -0.05219704657793045, 0.019799022004008293, -0.01877293363213539, 0.03258750960230827, 0.054775264114141464, 0.04523501545190811, 0.07711944729089737, 0.01078104693442583, -0.03204699605703354, 0.009403727948665619, 0.05170739069581032, -0.0045210388489067554, 0.006906360387802124, 0.08017735183238983, 0.04951569810509682, -0.08109283447265625, -0.010996016673743725, 0.054122984409332275, 0.04126979038119316, -0.050529055297374725, 0.05676104500889778, 0.03811943531036377, 0.06927251070737839, 0.09621613472700119, 0.06580188870429993, -0.05449913069605827, 0.013179774396121502, 0.07137449085712433, 0.04803124815225601, -0.04549361765384674, -0.020911891013383865, -0.058668509125709534, -0.07704130560159683 ]
Defmod - Parallel multiphysics finite element code for modeling crustal deformation during the earthquake/rifting cycle
http://arxiv.org/abs/1402.0429v3
http://arxiv.org/pdf/1402.0429v3.pdf
https://github.com/Chunfang/Esh3D
false
false
https://paperswithcode.com/paper/defmod-parallel-multiphysics-finite-element
[ -0.08468082547187805, -0.046886004507541656, 0.08517707139253616, -0.0009869071654975414, -0.04956311360001564, -0.1287526786327362, -0.10312027484178543, 0.04844271391630173, -0.02532511204481125, -0.004308183677494526, -0.02279128134250641, -0.06432245671749115, 0.03210847079753876, -0.029834235087037086, 0.03025849536061287, -0.046298712491989136, -0.10274699330329895, 0.04427896812558174, 0.03864404559135437, 0.019790614023804665, 0.058358084410429, 0.029337184503674507, -0.14856626093387604, 0.003467542352154851, 0.0018522385507822037, 0.051614388823509216, 0.045241739600896835, 0.0466226302087307, -0.017194250598549843, -0.000022729247575625777, 0.04622267931699753, 0.022320900112390518, -0.07998925447463989, -0.0018153770361095667, 0.026186738163232803, 0.08254729211330414, -0.03790083900094032, -0.031031062826514244, -0.12690258026123047, 0.06980562955141068, -0.06875503063201904, 0.01887592487037182, 0.0785951316356659, -0.035734426230192184, 0.07350585609674454, -0.022580552846193314, 0.010934948921203613, -0.038890305906534195, -0.051196642220020294, 0.0172545425593853, -0.014342954382300377, -0.048952922224998474, -0.01623407006263733, -0.0017143231816589832, -0.059924859553575516, -0.10790586471557617, 0.030491627752780914, -0.08785393089056015, 0.01614093780517578, -0.04611976444721222, 0.010135580785572529, 0.022646600380539894, -0.02622433938086033, -0.024565638974308968, -0.02448991686105728, 0.010342765599489212, 0.043375108391046524, -0.012641496025025845, -0.021588696166872978, -0.000497680448461324, -0.007136679254472256, 0.02707795426249504, 0.06305186450481415, -0.04925738275051117, 0.015261966735124588, -0.060409147292375565, 0.0017584027955308557, 0.02209317684173584, -0.013362472876906395, -0.09909658133983612, 0.03600378707051277, 0.07214132696390152, 0.008281330578029156, -0.09449328482151031, -0.06685788929462433, -0.008967679925262928, -0.02505091205239296, 0.08838079124689102, 0.048202235251665115, 0.040419913828372955, 0.10893407464027405, 0.04083250090479851, -0.0069306399673223495, 0.05679016187787056, 0.07219091802835464, 0.03677741065621376, 0.049662601202726364, 0.026632335036993027, 0.02203306369483471, 0.06999629735946655, -0.03411160409450531, 0.04099852964282036, 0.010150999762117863, 0.07304783165454865, 0.06514433771371841, -0.04579920321702957, 0.03148912638425827, 0.08935113996267319, 0.012076827697455883, 0.0034520102199167013, -0.0187276229262352, -0.01677125319838524, 0.0036686514504253864, -0.054959505796432495, 0.03904460743069649, -0.05910781770944595, 0.006912745535373688, -0.06089003011584282, 0.0513269305229187, 0.004056303761899471, 0.020051976665854454, -0.07124371081590652, -0.017793718725442886, 0.06823158264160156, 0.05039966106414795, -0.045153118669986725, -0.06615360826253891, 3.830161365084246e-33, 0.03453412652015686, 0.04061051085591316, -0.05454615131020546, 0.07627696543931961, -0.00537655595690012, -0.042720578610897064, -0.015444442629814148, -0.016253698617219925, -0.11047378182411194, 0.006960710510611534, -0.08134672790765762, 0.03932071477174759, -0.013384388759732246, 0.06681454926729202, -0.038670264184474945, -0.05506956949830055, 0.04565393179655075, 0.021924709901213646, 0.023423071950674057, 0.0034837466664612293, 0.05224340781569481, -0.06819343566894531, -0.011990854516625404, 0.0179689172655344, 0.008849415928125381, 0.021809469908475876, -0.03908383846282959, -0.08204007893800735, -0.025955351069569588, -0.0003999812761321664, 0.015601493418216705, -0.03483938053250313, -0.01273779384791851, 0.009218904189765453, 0.07257474958896637, 0.011875135824084282, 0.04645027965307236, -0.039981428533792496, -0.0454452708363533, -0.013293757103383541, 0.03712887689471245, -0.05216579884290695, 0.03261798620223999, 0.022782359272241592, -0.012982577085494995, -0.05268532782793045, 0.08427216112613678, 0.07293138653039932, 0.004957136232405901, -0.0642625093460083, 0.09790768474340439, 0.11573296785354614, -0.009736273437738419, -0.021092042326927185, -0.03706032782793045, 0.02243286930024624, 0.016996223479509354, -0.05099361389875412, 0.035686194896698, 0.16355659067630768, 0.03104802593588829, -0.0033493477385491133, 0.06962220370769501, 0.0030221082270145416, 0.0106039484962821, -0.045092061161994934, 0.005555761978030205, 0.08515605330467224, 0.07508740574121475, 0.057433947920799255, -0.062488019466400146, -0.02903122641146183, 0.07436095178127289, 0.008805016987025738, 0.007963993586599827, -0.0622231662273407, 0.06816456466913223, -0.059517111629247665, -0.05014894902706146, 0.031780701130628586, -0.009897163137793541, 0.01503010280430317, -0.020709052681922913, 0.017164433375000954, -0.037480223923921585, 0.02031334675848484, 0.08403370529413223, -0.003432521130889654, -0.018388928845524788, -0.08908774703741074, -0.12163468450307846, -0.017723489552736282, 0.09729176759719849, -0.1234600692987442, 0.02353978157043457, -4.472392703656003e-33, -0.027224458754062653, 0.017413048073649406, -0.09697971493005753, 0.045455485582351685, 0.003196158679202199, -0.05225011333823204, 0.0055529712699353695, 0.06255806982517242, -0.016172321513295174, -0.0996292307972908, 0.014877848327159882, -0.06868790835142136, 0.07088449597358704, 0.003978395834565163, 0.027355294674634933, 0.04492523521184921, -0.06851484626531601, -0.1281225085258484, -0.07034088671207428, 0.005605630110949278, -0.043456029146909714, -0.003697578562423587, 0.0011670441599562764, -0.05131985992193222, -0.040185846388339996, 0.036619462072849274, -0.1049487292766571, -0.01291230134665966, 0.012503706850111485, 0.048565808683633804, -0.08174742013216019, 0.01822241209447384, 0.00642135227099061, -0.0017987439641728997, -0.05229141563177109, 0.058222830295562744, -0.03459101915359497, -0.028082696720957756, 0.0086761973798275, -0.10119715332984924, 0.034545090049505234, 0.06317588686943054, -0.027962513267993927, 0.006919217295944691, 0.051983922719955444, 0.05893988907337189, 0.037848349660634995, 0.02549767680466175, 0.026667483150959015, 0.03846333548426628, -0.025243911892175674, 0.0243047084659338, -0.013683847151696682, -0.0004686613683588803, 0.07236276566982269, -0.02736465074121952, -0.0801142007112503, -0.07815706729888916, -0.09250485897064209, -0.05279840528964996, -0.04867047816514969, -0.07031793892383575, 0.06263713538646698, 0.007565055973827839, 0.046987563371658325, -0.04406479373574257, -0.00821300782263279, -0.07160145789384842, -0.0931270644068718, 0.07672232389450073, -0.02924765646457672, 0.014645340852439404, -0.04931805655360222, -0.025959225371479988, 0.03359263390302658, -0.04749719053506851, -0.009014733135700226, 0.05319557711482048, -0.04219768941402435, 0.0704960823059082, 0.056109823286533356, 0.012254283763468266, 0.01510884054005146, 0.06767476350069046, 0.010694429278373718, 0.02469889633357525, 0.0642366111278534, 0.0010066807735711336, -0.01809629425406456, 0.0021761602256447077, -0.004135476425290108, -0.03149116784334183, 0.0966961458325386, -0.006012266036123037, -0.01696914993226528, -5.1473765694254325e-8, -0.009684327989816666, 0.019313007593154907, -0.024580540135502815, -0.03131478279829025, 0.06679783016443253, 0.016718635335564613, -0.002306985901668668, -0.0815514326095581, -0.000855914899148047, -0.06671243906021118, 0.0846327617764473, -0.08264242112636566, 0.011500430293381214, 0.014020266011357307, -0.007132430095225573, 0.06462360173463821, 0.048766493797302246, -0.03172296658158302, -0.036511920392513275, -0.037085406482219696, -0.02224535495042801, 0.062170617282390594, -0.017016930505633354, 0.05587843805551529, 0.053915902972221375, 0.030977042391896248, 0.006865415722131729, -0.015469024889171124, 0.02760629542171955, 0.004520571790635586, -0.0479000024497509, -0.05219704657793045, 0.019799022004008293, -0.01877293363213539, 0.03258750960230827, 0.054775264114141464, 0.04523501545190811, 0.07711944729089737, 0.01078104693442583, -0.03204699605703354, 0.009403727948665619, 0.05170739069581032, -0.0045210388489067554, 0.006906360387802124, 0.08017735183238983, 0.04951569810509682, -0.08109283447265625, -0.010996016673743725, 0.054122984409332275, 0.04126979038119316, -0.050529055297374725, 0.05676104500889778, 0.03811943531036377, 0.06927251070737839, 0.09621613472700119, 0.06580188870429993, -0.05449913069605827, 0.013179774396121502, 0.07137449085712433, 0.04803124815225601, -0.04549361765384674, -0.020911891013383865, -0.058668509125709534, -0.07704130560159683 ]
1402.0430
Richard Koll\'ar
Richard Koll\'ar and Katarina Bodova and Jozef Nosek and Lubomir Tomaska
Mathematical model of alternative mechanism of telomere length maintenance
17 pages, 11 figures, to appear in Phys. Rev. E
null
10.1103/PhysRevE.89.032701
null
physics.bio-ph q-bio.BM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Biopolymer length regulation is a complex process that involves a large number of subprocesses acting simultaneously across multiple spatial and temporal scales. An illustrative example important for genomic stability is the length regulation of telomeres---nucleo-protein structures at the ends of linear chromosomes. Maintenance of telomeres is often facilitated by the enzyme telomerase but, particularly in telomerase-free systems, the maintenance of chromosomal termini depends on alternative lengthening of telomeres (ALT) mechanisms mediated by recombination. Various linear and circular DNA structures were identified to participate in ALT, however, dynamics of the whole process is still poorly understood. We propose a chemical kinetics model of ALT with kinetic rates systematically derived from the biophysics of DNA diffusion and looping. The reaction system is reduced to a coagulation-fragmentation system by quasi-steady state approximation. The detailed treatment of kinetic rates yields explicit formulae for expected size distributions of telomeres that demonstrate the key role played by the J-factor, a quantitative measure of bending of polymers. The results are in agreement with experimental data and point out interesting phenomena: an appearance of very long telomeric circles if the total telomere density exceeds a critical value (excess mass) and a nonlinear response of the telomere size distributions to the amount of telomeric DNA in the system. The results can be of general importance for understanding dynamics of telomeres in telomerase-independent systems as this mode of telomere maintenance is similar to the situation in tumor cells lacking telomerase activity. Furthermore, due to its universality, the model may also serve as a prototype of an interaction between linear and circular DNA structures in various settings.
[ { "created": "Mon, 3 Feb 2014 16:57:40 GMT", "version": "v1" } ]
2015-06-18
[ [ "Kollár", "Richard", "" ], [ "Bodova", "Katarina", "" ], [ "Nosek", "Jozef", "" ], [ "Tomaska", "Lubomir", "" ] ]
[ -0.06707999855279922, -0.08405247330665588, 0.01353069581091404, -0.06370662897825241, 0.007224269211292267, -0.07265927642583847, -0.016443394124507904, 0.09506871551275253, 0.02791064977645874, 0.017947088927030563, 0.06762392073869705, 0.08562801778316498, -0.06741654872894287, 0.031056145206093788, -0.010430773720145226, 0.03279556706547737, -0.12796270847320557, 0.02045864798128605, -0.08895247429609299, -0.0034366094041615725, 0.04056477174162865, -0.05671311914920807, 0.02710372395813465, -0.007395174819976091, 0.047005075961351395, -0.011369047686457634, -0.02545720525085926, -0.0451083704829216, -0.04717451333999634, -0.009434607811272144, 0.015352066606283188, 0.07982160896062851, -0.009585517458617687, -0.05314670503139496, 0.03894795849919319, 0.060123540461063385, -0.02196219377219677, -0.03506222739815712, -0.021871771663427353, -0.03919113427400589, 0.08005901426076889, 0.02608856000006199, -0.08054094761610031, 0.07392439246177673, -0.004163151141256094, -0.0565975196659565, 0.021573349833488464, -0.01244237832725048, -0.06184602156281471, 0.030662162229418755, 0.034926705062389374, 0.02790991961956024, -0.0638323426246643, 0.012151098810136318, 0.015192065387964249, 0.026673132553696632, 0.049568306654691696, -0.021847715601325035, 0.02367021143436432, -0.031321559101343155, 0.011105909943580627, -0.05332858860492706, -0.03983962535858154, -0.048900142312049866, 0.02358163334429264, -0.018740419298410416, 0.11708134412765503, -0.0325455404818058, -0.0069554694928228855, 0.07184462249279022, -0.047679394483566284, 0.03493189811706543, -0.08937907963991165, -0.0008991544600576162, 0.05233938619494438, -0.017900578677654266, -0.03296554833650589, -0.026417551562190056, -0.06111259385943413, 0.03092005103826523, -0.04125980660319328, -0.03371962904930115, 0.08029483258724213, -0.03925098851323128, -0.03832323104143143, 0.04319183528423309, 0.1447310894727707, 0.04620129242539406, -0.017965495586395264, 0.05879881605505943, -0.061021290719509125, 0.021343784406781197, 0.03752211481332779, -0.08258330076932907, -0.035263482481241226, 0.031372517347335815, -0.041882265359163284, -0.03929716721177101, 0.049546871334314346, -0.07684308290481567, -0.009086722508072853, -0.02833643928170204, 0.04556206241250038, 0.040261801332235336, 0.029272105544805527, 0.019317636266350746, 0.00426531070843339, 0.057087697088718414, 0.04008734971284866, 0.08159195631742477, 0.026359695941209793, 0.014974434860050678, 0.12134331464767456, 0.13596829771995544, -0.0652201846241951, -0.03569011017680168, -0.016984812915325165, -0.01572045311331749, 0.07172347605228424, 0.04151451960206032, 0.059190183877944946, 0.03629511594772339, -0.038159940391778946, -0.0074080913327634335, 0.028236864134669304, 0.08700592070817947, 0.029191385954618454, 3.793539573268347e-33, -0.013112043030560017, 0.024385854601860046, 0.11216410249471664, 0.0027923001907765865, -0.020185820758342743, -0.0498332679271698, -0.05518616363406181, 0.016657719388604164, -0.10296852886676788, 0.01928882673382759, -0.038213152438402176, -0.054460298269987106, 0.03449437394738197, 0.018624870106577873, -0.0034373358357697725, -0.059771887958049774, 0.08258641511201859, 0.037354521453380585, 0.0020728399977087975, 0.0008597575942985713, -0.08247148245573044, -0.014528540894389153, -0.04278038069605827, 0.025689972564578056, -0.014019882306456566, -0.024934597313404083, -0.09710238873958588, 0.025427158921957016, -0.016781721264123917, -0.0029503623954951763, -0.03706882894039154, 0.007331551518291235, -0.08162623643875122, 0.05016107112169266, 0.10372532159090042, 0.02753235027194023, 0.05930476635694504, -0.015129380859434605, -0.03359312564134598, 0.05194314569234848, 0.0042502316646277905, -0.006841699592769146, 0.06116671487689018, -0.04192162677645683, -0.019893458113074303, -0.08388539403676987, 0.08568187803030014, -0.007259585428982973, -0.12007685005664825, 0.022976597771048546, -0.032186005264520645, -0.006981294602155685, 0.028504623100161552, -0.0305213313549757, 0.026817627251148224, 0.012856727465987206, -0.030047360807657242, -0.04179636389017105, -0.05693744495511055, 0.05952358618378639, 0.0001285258767893538, 0.005809416528791189, -0.014626029878854752, 0.0230118315666914, 0.06848122179508209, 0.02220785804092884, -0.06951574236154556, -0.014313464052975178, -0.024146704003214836, 0.02224927768111229, -0.007563389837741852, 0.02192576974630356, 0.06805846095085144, 0.03553805872797966, -0.007584506180137396, 0.03354877978563309, -0.03570545092225075, -0.06428705155849457, -0.04293164238333702, 0.07135248929262161, 0.018892182037234306, 0.046182967722415924, -0.04820786416530609, -0.09979250282049179, -0.017627540975809097, -0.10647174715995789, 0.049932628870010376, -0.06817863136529922, -0.06522345542907715, 0.0030444262083619833, -0.007278274744749069, -0.07582738250494003, 0.000915957847610116, -0.020885683596134186, -0.014522936195135117, -5.500972668486567e-33, 0.0316106341779232, -0.060694921761751175, 0.10152237862348557, -0.006700663361698389, -0.030943460762500763, -0.010910236276686192, -0.023164816200733185, 0.12820810079574585, -0.030632589012384415, -0.10375075042247772, 0.0485948845744133, -0.06568208336830139, -0.04692517966032028, -0.030985498800873756, 0.06476181745529175, -0.014916975982487202, -0.004670436959713697, 0.019703807309269905, -0.012129400856792927, -0.006893438752740622, 0.005216833669692278, -0.022922582924365997, -0.02847849763929844, 0.06356998533010483, -0.004047385882586241, -0.016528669744729996, -0.0451761819422245, -0.0274630356580019, 0.029260070994496346, 0.03966057300567627, -0.09658140689134598, -0.02895776554942131, -0.04051954671740532, 0.052568018436431885, 0.029102858155965805, 0.09885226935148239, 0.04113532602787018, 0.04835620895028114, 0.13965089619159698, -0.02700881101191044, 0.007316286675632, 0.0049476707354187965, 0.046824268996715546, -0.009854091331362724, 0.05948779359459877, -0.03464334085583687, -0.04012924060225487, 0.06508799642324448, -0.05164375901222229, -0.04972970485687256, -0.002009532880038023, 0.09256314486265182, 0.012020905502140522, 0.026994524523615837, 0.05469110235571861, 0.028534570708870888, -0.018272045999765396, -0.05819500610232353, 0.06750479340553284, -0.04211754351854324, 0.0019503581570461392, -0.08025415986776352, 0.040695108473300934, 0.05605505034327507, -0.023383507505059242, 0.012044155970215797, 0.02035975642502308, 0.021350905299186707, 0.011299173347651958, -0.028185462579131126, 0.012507112696766853, 0.0830731987953186, 0.0688190832734108, 0.01692763902246952, 0.037801533937454224, -0.08057020604610443, -0.10022369772195816, -0.05558940768241882, -0.01612585224211216, -0.025384871289134026, -0.04022068902850151, 0.031503595411777496, -0.06165303662419319, -0.0999113991856575, -0.010931090451776981, -0.07912112772464752, 0.030692899599671364, 0.03936178237199783, -0.0031414891127496958, -0.05856310948729515, 0.017349576577544212, -0.07819203287363052, 0.007522461004555225, 0.087635338306427, 0.04637150093913078, -4.95892784613261e-8, 0.08524549007415771, -0.024800945073366165, 0.028074992820620537, 0.0014369050040841103, 0.027260439470410347, 0.1699398159980774, 0.05275212228298187, 0.0016325714532285929, 0.02807849831879139, 0.028642304241657257, 0.022547421976923943, 0.04533139988780022, -0.023215703666210175, 0.042317405343055725, -0.037792034447193146, 0.06582500785589218, -0.010298950597643852, -0.03137168288230896, 0.010630597360432148, 0.05652933567762375, -0.03925344720482826, 0.010151274502277374, -0.07669664174318314, 0.05494163557887077, -0.0959656834602356, 0.02330182120203972, 0.02571840211749077, 0.0292730201035738, 0.014350757002830505, -0.06760827451944351, 0.03314005956053734, 0.004331754054874182, -0.03376736491918564, 0.035182856023311615, -0.07654823362827301, -0.11260193586349487, -0.01848684996366501, -0.02259812504053116, 0.009117200039327145, 0.09606904536485672, 0.08616161346435547, 0.0172815453261137, -0.07362514734268188, 0.01034584641456604, 0.10474222153425217, -0.020624656230211258, 0.05767477676272392, 0.013092588633298874, -0.06044681742787361, -0.02582305297255516, 0.0670563280582428, -0.012933683581650257, -0.01763126812875271, -0.03734195977449417, -0.024732019752264023, -0.009300489909946918, 0.07195077836513519, 0.0363861583173275, 0.016193751245737076, -0.022847209125757217, -0.07162195444107056, -0.011592849157750607, 0.0021880429703742266, -0.10979815572500229 ]
null
null
null
null
null
null
null
[ -0.06707999855279922, -0.08405247330665588, 0.01353069581091404, -0.06370662897825241, 0.007224269211292267, -0.07265927642583847, -0.016443394124507904, 0.09506871551275253, 0.02791064977645874, 0.017947088927030563, 0.06762392073869705, 0.08562801778316498, -0.06741654872894287, 0.031056145206093788, -0.010430773720145226, 0.03279556706547737, -0.12796270847320557, 0.02045864798128605, -0.08895247429609299, -0.0034366094041615725, 0.04056477174162865, -0.05671311914920807, 0.02710372395813465, -0.007395174819976091, 0.047005075961351395, -0.011369047686457634, -0.02545720525085926, -0.0451083704829216, -0.04717451333999634, -0.009434607811272144, 0.015352066606283188, 0.07982160896062851, -0.009585517458617687, -0.05314670503139496, 0.03894795849919319, 0.060123540461063385, -0.02196219377219677, -0.03506222739815712, -0.021871771663427353, -0.03919113427400589, 0.08005901426076889, 0.02608856000006199, -0.08054094761610031, 0.07392439246177673, -0.004163151141256094, -0.0565975196659565, 0.021573349833488464, -0.01244237832725048, -0.06184602156281471, 0.030662162229418755, 0.034926705062389374, 0.02790991961956024, -0.0638323426246643, 0.012151098810136318, 0.015192065387964249, 0.026673132553696632, 0.049568306654691696, -0.021847715601325035, 0.02367021143436432, -0.031321559101343155, 0.011105909943580627, -0.05332858860492706, -0.03983962535858154, -0.048900142312049866, 0.02358163334429264, -0.018740419298410416, 0.11708134412765503, -0.0325455404818058, -0.0069554694928228855, 0.07184462249279022, -0.047679394483566284, 0.03493189811706543, -0.08937907963991165, -0.0008991544600576162, 0.05233938619494438, -0.017900578677654266, -0.03296554833650589, -0.026417551562190056, -0.06111259385943413, 0.03092005103826523, -0.04125980660319328, -0.03371962904930115, 0.08029483258724213, -0.03925098851323128, -0.03832323104143143, 0.04319183528423309, 0.1447310894727707, 0.04620129242539406, -0.017965495586395264, 0.05879881605505943, -0.061021290719509125, 0.021343784406781197, 0.03752211481332779, -0.08258330076932907, -0.035263482481241226, 0.031372517347335815, -0.041882265359163284, -0.03929716721177101, 0.049546871334314346, -0.07684308290481567, -0.009086722508072853, -0.02833643928170204, 0.04556206241250038, 0.040261801332235336, 0.029272105544805527, 0.019317636266350746, 0.00426531070843339, 0.057087697088718414, 0.04008734971284866, 0.08159195631742477, 0.026359695941209793, 0.014974434860050678, 0.12134331464767456, 0.13596829771995544, -0.0652201846241951, -0.03569011017680168, -0.016984812915325165, -0.01572045311331749, 0.07172347605228424, 0.04151451960206032, 0.059190183877944946, 0.03629511594772339, -0.038159940391778946, -0.0074080913327634335, 0.028236864134669304, 0.08700592070817947, 0.029191385954618454, 3.793539573268347e-33, -0.013112043030560017, 0.024385854601860046, 0.11216410249471664, 0.0027923001907765865, -0.020185820758342743, -0.0498332679271698, -0.05518616363406181, 0.016657719388604164, -0.10296852886676788, 0.01928882673382759, -0.038213152438402176, -0.054460298269987106, 0.03449437394738197, 0.018624870106577873, -0.0034373358357697725, -0.059771887958049774, 0.08258641511201859, 0.037354521453380585, 0.0020728399977087975, 0.0008597575942985713, -0.08247148245573044, -0.014528540894389153, -0.04278038069605827, 0.025689972564578056, -0.014019882306456566, -0.024934597313404083, -0.09710238873958588, 0.025427158921957016, -0.016781721264123917, -0.0029503623954951763, -0.03706882894039154, 0.007331551518291235, -0.08162623643875122, 0.05016107112169266, 0.10372532159090042, 0.02753235027194023, 0.05930476635694504, -0.015129380859434605, -0.03359312564134598, 0.05194314569234848, 0.0042502316646277905, -0.006841699592769146, 0.06116671487689018, -0.04192162677645683, -0.019893458113074303, -0.08388539403676987, 0.08568187803030014, -0.007259585428982973, -0.12007685005664825, 0.022976597771048546, -0.032186005264520645, -0.006981294602155685, 0.028504623100161552, -0.0305213313549757, 0.026817627251148224, 0.012856727465987206, -0.030047360807657242, -0.04179636389017105, -0.05693744495511055, 0.05952358618378639, 0.0001285258767893538, 0.005809416528791189, -0.014626029878854752, 0.0230118315666914, 0.06848122179508209, 0.02220785804092884, -0.06951574236154556, -0.014313464052975178, -0.024146704003214836, 0.02224927768111229, -0.007563389837741852, 0.02192576974630356, 0.06805846095085144, 0.03553805872797966, -0.007584506180137396, 0.03354877978563309, -0.03570545092225075, -0.06428705155849457, -0.04293164238333702, 0.07135248929262161, 0.018892182037234306, 0.046182967722415924, -0.04820786416530609, -0.09979250282049179, -0.017627540975809097, -0.10647174715995789, 0.049932628870010376, -0.06817863136529922, -0.06522345542907715, 0.0030444262083619833, -0.007278274744749069, -0.07582738250494003, 0.000915957847610116, -0.020885683596134186, -0.014522936195135117, -5.500972668486567e-33, 0.0316106341779232, -0.060694921761751175, 0.10152237862348557, -0.006700663361698389, -0.030943460762500763, -0.010910236276686192, -0.023164816200733185, 0.12820810079574585, -0.030632589012384415, -0.10375075042247772, 0.0485948845744133, -0.06568208336830139, -0.04692517966032028, -0.030985498800873756, 0.06476181745529175, -0.014916975982487202, -0.004670436959713697, 0.019703807309269905, -0.012129400856792927, -0.006893438752740622, 0.005216833669692278, -0.022922582924365997, -0.02847849763929844, 0.06356998533010483, -0.004047385882586241, -0.016528669744729996, -0.0451761819422245, -0.0274630356580019, 0.029260070994496346, 0.03966057300567627, -0.09658140689134598, -0.02895776554942131, -0.04051954671740532, 0.052568018436431885, 0.029102858155965805, 0.09885226935148239, 0.04113532602787018, 0.04835620895028114, 0.13965089619159698, -0.02700881101191044, 0.007316286675632, 0.0049476707354187965, 0.046824268996715546, -0.009854091331362724, 0.05948779359459877, -0.03464334085583687, -0.04012924060225487, 0.06508799642324448, -0.05164375901222229, -0.04972970485687256, -0.002009532880038023, 0.09256314486265182, 0.012020905502140522, 0.026994524523615837, 0.05469110235571861, 0.028534570708870888, -0.018272045999765396, -0.05819500610232353, 0.06750479340553284, -0.04211754351854324, 0.0019503581570461392, -0.08025415986776352, 0.040695108473300934, 0.05605505034327507, -0.023383507505059242, 0.012044155970215797, 0.02035975642502308, 0.021350905299186707, 0.011299173347651958, -0.028185462579131126, 0.012507112696766853, 0.0830731987953186, 0.0688190832734108, 0.01692763902246952, 0.037801533937454224, -0.08057020604610443, -0.10022369772195816, -0.05558940768241882, -0.01612585224211216, -0.025384871289134026, -0.04022068902850151, 0.031503595411777496, -0.06165303662419319, -0.0999113991856575, -0.010931090451776981, -0.07912112772464752, 0.030692899599671364, 0.03936178237199783, -0.0031414891127496958, -0.05856310948729515, 0.017349576577544212, -0.07819203287363052, 0.007522461004555225, 0.087635338306427, 0.04637150093913078, -4.95892784613261e-8, 0.08524549007415771, -0.024800945073366165, 0.028074992820620537, 0.0014369050040841103, 0.027260439470410347, 0.1699398159980774, 0.05275212228298187, 0.0016325714532285929, 0.02807849831879139, 0.028642304241657257, 0.022547421976923943, 0.04533139988780022, -0.023215703666210175, 0.042317405343055725, -0.037792034447193146, 0.06582500785589218, -0.010298950597643852, -0.03137168288230896, 0.010630597360432148, 0.05652933567762375, -0.03925344720482826, 0.010151274502277374, -0.07669664174318314, 0.05494163557887077, -0.0959656834602356, 0.02330182120203972, 0.02571840211749077, 0.0292730201035738, 0.014350757002830505, -0.06760827451944351, 0.03314005956053734, 0.004331754054874182, -0.03376736491918564, 0.035182856023311615, -0.07654823362827301, -0.11260193586349487, -0.01848684996366501, -0.02259812504053116, 0.009117200039327145, 0.09606904536485672, 0.08616161346435547, 0.0172815453261137, -0.07362514734268188, 0.01034584641456604, 0.10474222153425217, -0.020624656230211258, 0.05767477676272392, 0.013092588633298874, -0.06044681742787361, -0.02582305297255516, 0.0670563280582428, -0.012933683581650257, -0.01763126812875271, -0.03734195977449417, -0.024732019752264023, -0.009300489909946918, 0.07195077836513519, 0.0363861583173275, 0.016193751245737076, -0.022847209125757217, -0.07162195444107056, -0.011592849157750607, 0.0021880429703742266, -0.10979815572500229 ]
1402.0437
Claudio Corti Mr
Claudio Corti (1) (for the AMS collaboration) ((1) University of Hawaii at Manoa)
The cosmic ray electron and positron spectra measured by AMS-02
to appear in the proceedings of The 10th International Symposium on Cosmology and Particle Astrophysics (CosPA2013)
null
null
null
physics.ins-det astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The AMS-02 detector is operating on the International Space Station since May 2011. More than 30 billion events have been collected by the instrument in the first two years of data taking. A precision measurement of the positron fraction and of the positron flux in primary cosmic rays up to 350 GeV, of the electron flux up to 500 GeV and of the combined electron plus positron flux up to 700 GeV are presented. The separate and combined electron and positron fluxes are preliminary and represent work in progress. Systematic uncertainties must still be investigated further.
[ { "created": "Mon, 3 Feb 2014 17:11:09 GMT", "version": "v1" } ]
2019-08-15
[ [ "Corti", "Claudio", "" ] ]
[ 0.029484519734978676, 0.05467277020215988, 0.006143681704998016, 0.04697030410170555, 0.006504586897790432, -0.08212388306856155, 0.020322445780038834, 0.06599535048007965, -0.028311671689152718, -0.013461110182106495, -0.01730957254767418, -0.05769341439008713, -0.009733122773468494, 0.049698539078235626, -0.08196528255939484, -0.018065443262457848, 0.08178133517503738, -0.02569773606956005, 0.10652756690979004, 0.032563261687755585, -0.06729621440172195, 0.008403077721595764, 0.018228935077786446, -0.0006928410148248076, 0.05060243979096413, -0.0010945538524538279, -0.08358874171972275, -0.0373881570994854, 0.013152722269296646, -0.012244476936757565, 0.0276003610342741, 0.02578120119869709, 0.04749307036399841, -0.015853960067033768, 0.022013338282704353, 0.02509223483502865, 0.07707273215055466, -0.0429743230342865, 0.017821941524744034, 0.08727117627859116, -0.009718389250338078, 0.04154529422521591, 0.05744791030883789, 0.0403139665722847, 0.05293189361691475, 0.005931485909968615, 0.03150531277060509, -0.03508361428976059, 0.004274154081940651, 0.03072872944176197, 0.07919804751873016, 0.017523542046546936, 0.009792705066502094, 0.012524346821010113, -0.03206536918878555, 0.033870499581098557, -0.042870745062828064, -0.07286719977855682, -0.01455575693398714, -0.020490238443017006, -0.007497784681618214, 0.010411807335913181, -0.009872578084468842, -0.03831037878990173, 0.0004985014093108475, -0.0055680545046925545, -0.05832019820809364, -0.01875397376716137, 0.05199972912669182, -0.068886898458004, 0.012650568038225174, 0.08803929388523102, -0.038874369114637375, -0.06358350813388824, -0.04903917759656906, 0.011120695620775223, 0.01988702081143856, 0.027199504896998405, 0.1107064038515091, 0.007298332639038563, -0.014812769368290901, -0.08967595547437668, -0.11646769195795059, -0.05254581570625305, 0.04600544646382332, -0.002003265544772148, -0.02436278760433197, 0.057925935834646225, -0.0052999043837189674, -0.024150719866156578, -0.012652979232370853, -0.08268024027347565, 0.044432077556848526, 0.002852115547284484, -0.009092863649129868, 0.08033215999603271, -0.011195793747901917, 0.07050799578428268, 0.0472244918346405, 0.04012317582964897, 0.03191576153039932, -0.01566331647336483, -0.049531422555446625, 0.06931045651435852, -0.020563369616866112, -0.014897441491484642, 0.049155641347169876, 0.04105707257986069, 0.049004703760147095, -0.08479277044534683, 0.03485257178544998, -0.03179777041077614, -0.007371612824499607, -0.09340041130781174, 0.12520547211170197, 0.061995603144168854, 0.014534961432218552, 0.08204946666955948, -0.02444404922425747, -0.06392502784729004, -0.057943928986787796, 0.03324057161808014, -0.002991935471072793, 0.03523774817585945, 0.07980061322450638, -0.0030719537753611803, 0.05428116023540497, 6.743873538804851e-33, -0.005411211401224136, 0.016395922750234604, 0.01681860163807869, 0.03928263485431671, -0.06864438951015472, 0.04829081520438194, -0.07346759736537933, -0.008793473243713379, 0.0591101348400116, 0.005241516977548599, -0.040177371352910995, 0.027495788410305977, 0.01881001703441143, -0.07399279624223709, -0.04575667157769203, -0.03712702915072441, 0.067304328083992, 0.021146362647414207, 0.04687200486660004, -0.0032615438103675842, -0.007830288261175156, -0.027066178619861603, -0.03400931507349014, -0.005945656448602676, 0.09006857126951218, 0.08273261040449142, 0.0012271098094061017, 0.020597998052835464, -0.018631586804986, -0.00310962344519794, 0.017846161499619484, 0.04893985763192177, -0.015004906803369522, 0.024179279804229736, -0.08102069795131683, -0.054248496890068054, -0.08948585391044617, 0.03777894377708435, -0.0005364249809645116, -0.06710589677095413, -0.023994725197553635, 0.12066324055194855, 0.008964975364506245, -0.061232972890138626, 0.032772596925497055, -0.04506894573569298, 0.005983944050967693, 0.048572856932878494, 0.1504158079624176, 0.05539315938949585, -0.01231374405324459, -0.023768197745084763, -0.09625871479511261, 0.05714414641261101, 0.043427180498838425, 0.038830555975437164, 0.022923870012164116, 0.028508726507425308, 0.05789817124605179, 0.0575471967458725, 0.02087787725031376, 0.04952280968427658, -0.04185093939304352, -0.0027797077782452106, -0.05732429772615433, 0.06756255030632019, 0.014698810875415802, 0.07527969777584076, -0.01642642915248871, 0.11578205972909927, -0.0419062040746212, -0.041723717004060745, 0.005978001747280359, -0.017266279086470604, 0.010242770425975323, 0.008318253792822361, 0.012170345522463322, 0.011883668601512909, 0.022242175415158272, -0.038172606378793716, -0.02466537058353424, -0.07338955998420715, 0.10093624144792557, 0.03235023468732834, -0.05212525278329849, 0.03428797423839569, -0.012102617882192135, 0.09064143896102905, 0.06223313510417938, 0.050232842564582825, 0.03040005825459957, 0.04758528992533684, 0.002046034438535571, 0.02349676378071308, -0.11694128066301346, -5.112180116004003e-33, -0.050743117928504944, 0.018078414723277092, -0.024602010846138, -0.028000688180327415, -0.07129880040884018, 0.018930533900856972, -0.00253097852692008, 0.011488381773233414, -0.05739794299006462, 0.05406287685036659, -0.03278355672955513, 0.05294492095708847, -0.04312202334403992, -0.08884257078170776, 0.008477483876049519, -0.021333765238523483, 0.02923216111958027, 0.12492721527814865, -0.001970017561689019, 0.0006674363394267857, 0.024426398798823357, -0.005276805255562067, -0.03507375717163086, -0.06432189792394638, -0.013687130995094776, 0.043008461594581604, 0.07921992242336273, -0.13599872589111328, 0.027128800749778748, -0.0470108836889267, -0.09698877483606339, 0.016014041379094124, -0.003781346371397376, 0.00035619561094790697, 0.0370774082839489, -0.1050681471824646, 0.032968394458293915, 0.0017722154734656215, -0.00777806481346488, -0.08480308204889297, -0.020493730902671814, 0.16865244507789612, -0.02285689115524292, 0.00444450881332159, 0.007950745522975922, 0.0739712193608284, 0.00716865248978138, 0.13094845414161682, 0.047371651977300644, 0.009273537434637547, -0.11217350512742996, -0.09439579397439957, 0.008777285926043987, -0.0007611330365762115, -0.026309387758374214, 0.01081029325723648, -0.06083502620458603, 0.01033848151564598, 0.028397947549819946, -0.06597688794136047, -0.02149401232600212, -0.07745648175477982, 0.004069422837346792, -0.053801313042640686, 0.00007721521251369268, -0.03696615621447563, 0.004884134046733379, 0.12011559307575226, -0.060717709362506866, 0.009100381284952164, 0.06504557281732559, 0.001633396022953093, -0.04686608538031578, -0.06396079808473587, -0.027024654671549797, 0.015712808817625046, 0.009671540930867195, -0.05960892513394356, 0.10705720633268356, -0.010087450034916401, -0.04218868538737297, 0.04912138357758522, -0.014923660084605217, -0.029777685180306435, 0.024758636951446533, 0.05882558971643448, -0.054851219058036804, -0.03221471607685089, 0.0101300198584795, 0.03046765923500061, -0.08391213417053223, 0.048703085631132126, 0.007647005375474691, -0.03822216019034386, 0.02398124523460865, -4.9264301082985185e-8, -0.0212620347738266, 0.0250884760171175, -0.04327867925167084, -0.021486401557922363, -0.024595052003860474, -0.013108107261359692, -0.09701373428106308, 0.08710210025310516, 0.007335888221859932, 0.0021819714456796646, 0.08004967868328094, -0.023294638842344284, -0.014223000966012478, -0.09028711169958115, -0.021967260167002678, 0.03616709262132645, -0.004359513986855745, -0.028179045766592026, -0.0012286379933357239, 0.03831341862678528, 0.04009690135717392, 0.046607937663793564, 0.09294045716524124, -0.01879800483584404, 0.01705789379775524, 0.026983004063367844, -0.0157303586602211, 0.12765631079673767, 0.012167955748736858, -0.06402892619371414, -0.00003503066909615882, -0.03685944154858589, -0.0008144006715156138, -0.05245019868016243, 0.022116616368293762, 0.01588084176182747, -0.03575427830219269, 0.050771381705999374, 0.04460859298706055, -0.024417361244559288, -0.024343034252524376, -0.05502800643444061, 0.044352978467941284, 0.0691453218460083, -0.08320949226617813, -0.028447458520531654, -0.007277452852576971, -0.1366339772939682, -0.04707709327340126, -0.043749697506427765, 0.020326931029558182, -0.027591176331043243, -0.03443395718932152, -0.06406394392251968, -0.08217757195234299, 0.003795873373746872, -0.06234847381711006, -0.08022107183933258, -0.05918842926621437, -0.018476007506251335, 0.06296281516551971, -0.04600682854652405, -0.11832043528556824, -0.016595525667071342 ]
null
null
null
null
null
null
null
[ 0.029484519734978676, 0.05467277020215988, 0.006143681704998016, 0.04697030410170555, 0.006504586897790432, -0.08212388306856155, 0.020322445780038834, 0.06599535048007965, -0.028311671689152718, -0.013461110182106495, -0.01730957254767418, -0.05769341439008713, -0.009733122773468494, 0.049698539078235626, -0.08196528255939484, -0.018065443262457848, 0.08178133517503738, -0.02569773606956005, 0.10652756690979004, 0.032563261687755585, -0.06729621440172195, 0.008403077721595764, 0.018228935077786446, -0.0006928410148248076, 0.05060243979096413, -0.0010945538524538279, -0.08358874171972275, -0.0373881570994854, 0.013152722269296646, -0.012244476936757565, 0.0276003610342741, 0.02578120119869709, 0.04749307036399841, -0.015853960067033768, 0.022013338282704353, 0.02509223483502865, 0.07707273215055466, -0.0429743230342865, 0.017821941524744034, 0.08727117627859116, -0.009718389250338078, 0.04154529422521591, 0.05744791030883789, 0.0403139665722847, 0.05293189361691475, 0.005931485909968615, 0.03150531277060509, -0.03508361428976059, 0.004274154081940651, 0.03072872944176197, 0.07919804751873016, 0.017523542046546936, 0.009792705066502094, 0.012524346821010113, -0.03206536918878555, 0.033870499581098557, -0.042870745062828064, -0.07286719977855682, -0.01455575693398714, -0.020490238443017006, -0.007497784681618214, 0.010411807335913181, -0.009872578084468842, -0.03831037878990173, 0.0004985014093108475, -0.0055680545046925545, -0.05832019820809364, -0.01875397376716137, 0.05199972912669182, -0.068886898458004, 0.012650568038225174, 0.08803929388523102, -0.038874369114637375, -0.06358350813388824, -0.04903917759656906, 0.011120695620775223, 0.01988702081143856, 0.027199504896998405, 0.1107064038515091, 0.007298332639038563, -0.014812769368290901, -0.08967595547437668, -0.11646769195795059, -0.05254581570625305, 0.04600544646382332, -0.002003265544772148, -0.02436278760433197, 0.057925935834646225, -0.0052999043837189674, -0.024150719866156578, -0.012652979232370853, -0.08268024027347565, 0.044432077556848526, 0.002852115547284484, -0.009092863649129868, 0.08033215999603271, -0.011195793747901917, 0.07050799578428268, 0.0472244918346405, 0.04012317582964897, 0.03191576153039932, -0.01566331647336483, -0.049531422555446625, 0.06931045651435852, -0.020563369616866112, -0.014897441491484642, 0.049155641347169876, 0.04105707257986069, 0.049004703760147095, -0.08479277044534683, 0.03485257178544998, -0.03179777041077614, -0.007371612824499607, -0.09340041130781174, 0.12520547211170197, 0.061995603144168854, 0.014534961432218552, 0.08204946666955948, -0.02444404922425747, -0.06392502784729004, -0.057943928986787796, 0.03324057161808014, -0.002991935471072793, 0.03523774817585945, 0.07980061322450638, -0.0030719537753611803, 0.05428116023540497, 6.743873538804851e-33, -0.005411211401224136, 0.016395922750234604, 0.01681860163807869, 0.03928263485431671, -0.06864438951015472, 0.04829081520438194, -0.07346759736537933, -0.008793473243713379, 0.0591101348400116, 0.005241516977548599, -0.040177371352910995, 0.027495788410305977, 0.01881001703441143, -0.07399279624223709, -0.04575667157769203, -0.03712702915072441, 0.067304328083992, 0.021146362647414207, 0.04687200486660004, -0.0032615438103675842, -0.007830288261175156, -0.027066178619861603, -0.03400931507349014, -0.005945656448602676, 0.09006857126951218, 0.08273261040449142, 0.0012271098094061017, 0.020597998052835464, -0.018631586804986, -0.00310962344519794, 0.017846161499619484, 0.04893985763192177, -0.015004906803369522, 0.024179279804229736, -0.08102069795131683, -0.054248496890068054, -0.08948585391044617, 0.03777894377708435, -0.0005364249809645116, -0.06710589677095413, -0.023994725197553635, 0.12066324055194855, 0.008964975364506245, -0.061232972890138626, 0.032772596925497055, -0.04506894573569298, 0.005983944050967693, 0.048572856932878494, 0.1504158079624176, 0.05539315938949585, -0.01231374405324459, -0.023768197745084763, -0.09625871479511261, 0.05714414641261101, 0.043427180498838425, 0.038830555975437164, 0.022923870012164116, 0.028508726507425308, 0.05789817124605179, 0.0575471967458725, 0.02087787725031376, 0.04952280968427658, -0.04185093939304352, -0.0027797077782452106, -0.05732429772615433, 0.06756255030632019, 0.014698810875415802, 0.07527969777584076, -0.01642642915248871, 0.11578205972909927, -0.0419062040746212, -0.041723717004060745, 0.005978001747280359, -0.017266279086470604, 0.010242770425975323, 0.008318253792822361, 0.012170345522463322, 0.011883668601512909, 0.022242175415158272, -0.038172606378793716, -0.02466537058353424, -0.07338955998420715, 0.10093624144792557, 0.03235023468732834, -0.05212525278329849, 0.03428797423839569, -0.012102617882192135, 0.09064143896102905, 0.06223313510417938, 0.050232842564582825, 0.03040005825459957, 0.04758528992533684, 0.002046034438535571, 0.02349676378071308, -0.11694128066301346, -5.112180116004003e-33, -0.050743117928504944, 0.018078414723277092, -0.024602010846138, -0.028000688180327415, -0.07129880040884018, 0.018930533900856972, -0.00253097852692008, 0.011488381773233414, -0.05739794299006462, 0.05406287685036659, -0.03278355672955513, 0.05294492095708847, -0.04312202334403992, -0.08884257078170776, 0.008477483876049519, -0.021333765238523483, 0.02923216111958027, 0.12492721527814865, -0.001970017561689019, 0.0006674363394267857, 0.024426398798823357, -0.005276805255562067, -0.03507375717163086, -0.06432189792394638, -0.013687130995094776, 0.043008461594581604, 0.07921992242336273, -0.13599872589111328, 0.027128800749778748, -0.0470108836889267, -0.09698877483606339, 0.016014041379094124, -0.003781346371397376, 0.00035619561094790697, 0.0370774082839489, -0.1050681471824646, 0.032968394458293915, 0.0017722154734656215, -0.00777806481346488, -0.08480308204889297, -0.020493730902671814, 0.16865244507789612, -0.02285689115524292, 0.00444450881332159, 0.007950745522975922, 0.0739712193608284, 0.00716865248978138, 0.13094845414161682, 0.047371651977300644, 0.009273537434637547, -0.11217350512742996, -0.09439579397439957, 0.008777285926043987, -0.0007611330365762115, -0.026309387758374214, 0.01081029325723648, -0.06083502620458603, 0.01033848151564598, 0.028397947549819946, -0.06597688794136047, -0.02149401232600212, -0.07745648175477982, 0.004069422837346792, -0.053801313042640686, 0.00007721521251369268, -0.03696615621447563, 0.004884134046733379, 0.12011559307575226, -0.060717709362506866, 0.009100381284952164, 0.06504557281732559, 0.001633396022953093, -0.04686608538031578, -0.06396079808473587, -0.027024654671549797, 0.015712808817625046, 0.009671540930867195, -0.05960892513394356, 0.10705720633268356, -0.010087450034916401, -0.04218868538737297, 0.04912138357758522, -0.014923660084605217, -0.029777685180306435, 0.024758636951446533, 0.05882558971643448, -0.054851219058036804, -0.03221471607685089, 0.0101300198584795, 0.03046765923500061, -0.08391213417053223, 0.048703085631132126, 0.007647005375474691, -0.03822216019034386, 0.02398124523460865, -4.9264301082985185e-8, -0.0212620347738266, 0.0250884760171175, -0.04327867925167084, -0.021486401557922363, -0.024595052003860474, -0.013108107261359692, -0.09701373428106308, 0.08710210025310516, 0.007335888221859932, 0.0021819714456796646, 0.08004967868328094, -0.023294638842344284, -0.014223000966012478, -0.09028711169958115, -0.021967260167002678, 0.03616709262132645, -0.004359513986855745, -0.028179045766592026, -0.0012286379933357239, 0.03831341862678528, 0.04009690135717392, 0.046607937663793564, 0.09294045716524124, -0.01879800483584404, 0.01705789379775524, 0.026983004063367844, -0.0157303586602211, 0.12765631079673767, 0.012167955748736858, -0.06402892619371414, -0.00003503066909615882, -0.03685944154858589, -0.0008144006715156138, -0.05245019868016243, 0.022116616368293762, 0.01588084176182747, -0.03575427830219269, 0.050771381705999374, 0.04460859298706055, -0.024417361244559288, -0.024343034252524376, -0.05502800643444061, 0.044352978467941284, 0.0691453218460083, -0.08320949226617813, -0.028447458520531654, -0.007277452852576971, -0.1366339772939682, -0.04707709327340126, -0.043749697506427765, 0.020326931029558182, -0.027591176331043243, -0.03443395718932152, -0.06406394392251968, -0.08217757195234299, 0.003795873373746872, -0.06234847381711006, -0.08022107183933258, -0.05918842926621437, -0.018476007506251335, 0.06296281516551971, -0.04600682854652405, -0.11832043528556824, -0.016595525667071342 ]
1402.0444
Pier Luigi Silvestrelli
Pier Luigi Silvestrelli
Including screening in van-der-Waals corrected DFT calculations. The case of atoms and small molecules physisorbed on graphene
1 figure
null
10.1063/1.4869330
null
cond-mat.mtrl-sci physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The DFT/vdW-QHO-WF method, recently developed to include the van der Waals (vdW) interactions in approximated Density Functional Theory (DFT) by combining the Quantum Harmonic Oscillator model with the Maximally Localized Wannier Function technique, is applied to the cases of atoms and small molecules (X=Ar, CO, H$_2$, H$_2$O) weakly interacting with benzene and with the ideal planar graphene surface. Comparison is also presented with the results obtained by other DFT vdW-corrected schemes, including PBE+D, vdW-DF, vdW-DF2, rVV10, and by the simpler Local Density Approximation (LDA) and semilocal Generalized Gradient Approximation (GGA) approaches. While for the X-benzene systems all the considered vdW-corrected schemes perform reasonably well, it turns out that an accurate description of the X-graphene interaction requires a proper treatment of many-body contributions and of short-range screening effects, as demonstrated by adopting an improved version of the DFT/vdW-QHO-WF method. We also comment on the widespread attitude of relying on LDA to get a rough description of weakly interacting systems.
[ { "created": "Mon, 3 Feb 2014 17:45:37 GMT", "version": "v1" } ]
2015-06-18
[ [ "Silvestrelli", "Pier Luigi", "" ] ]
[ -0.009050552733242512, 0.058926090598106384, 0.032903071492910385, -0.02611834555864334, 0.037960346788167953, 0.0025668146554380655, -0.01939471997320652, 0.0663679763674736, -0.04137911647558212, 0.046904727816581726, -0.002971961395815015, 0.04582424834370613, -0.026459846645593643, 0.05914118513464928, 0.06402571499347687, -0.0058239842765033245, 0.045802418142557144, -0.006171452347189188, -0.0531582236289978, 0.10842118412256241, 0.04758836701512337, 0.0772923082113266, 0.05404599756002426, -0.1184595599770546, 0.028858819976449013, 0.01916363462805748, 0.02201436087489128, 0.06932073831558228, 0.04920917749404907, -0.0184300746768713, 0.1259629726409912, 0.0032278194557875395, -0.12300324440002441, 0.004313197918236256, -0.09104377776384354, -0.015477007254958153, -0.007988715544342995, 0.025487175211310387, -0.05024215579032898, 0.006936145480722189, -0.04433445259928703, 0.07166318595409393, -0.027582518756389618, 0.06453817337751389, 0.013641583733260632, -0.11714237183332443, -0.017870603129267693, 0.013919810764491558, -0.03733735531568527, -0.07221774011850357, 0.11196253448724747, -0.023301269859075546, 0.048106659203767776, 0.029649121686816216, -0.015877867117524147, 0.03619992733001709, 0.019430389627814293, -0.0036214329302310944, 0.07079984992742538, -0.00817547645419836, 0.04040171578526497, 0.0038868715055286884, 0.06476391106843948, -0.003919428214430809, 0.050407085567712784, -0.05339070037007332, 0.010603916831314564, -0.06918012350797653, -0.07218341529369354, 0.031752780079841614, -0.11612210422754288, 0.020167607814073563, -0.06778430938720703, -0.008573217317461967, 0.05984693765640259, -0.0024336427450180054, 0.020018447190523148, 0.05211271345615387, 0.027395915240049362, -0.06248379498720169, 0.01664937101304531, 0.013775495812296867, 0.0511675663292408, -0.013601694256067276, 0.05614115297794342, 0.07114915549755096, -0.11912181228399277, -0.05366847291588783, -0.038205381482839584, -0.044436823576688766, -0.03029203973710537, 0.012183851562440395, -0.10256364941596985, -0.020294087007641792, -0.01685427501797676, -0.04161802679300308, 0.14412397146224976, -0.01396271213889122, 0.018437853083014488, 0.02493267133831978, 0.006138975732028484, -0.03332219272851944, -0.005052609369158745, -0.07399267703294754, -0.05699675530195236, -0.07880722731351852, 0.015305579639971256, 0.06430309265851974, -0.07194504141807556, -0.045758992433547974, -0.08355211466550827, 0.06908928602933884, 0.0285330843180418, 0.11589420586824417, -0.04658704996109009, -0.014735238626599312, 0.08961448073387146, -0.019212156534194946, 0.018444744870066643, -0.03748072683811188, -0.09049511700868607, 0.03215919807553291, -0.036948490887880325, 0.012765408493578434, -0.06598344445228577, 0.028232380747795105, -0.0711422935128212, 1.7319599685191193e-33, 0.014350159093737602, 0.05269542708992958, -0.03242407366633415, -0.03106890432536602, 0.0068124583922326565, -0.0991988480091095, -0.034772902727127075, -0.01112041249871254, -0.05686017498373985, 0.015338907018303871, -0.05808645859360695, 0.03128593787550926, 0.023089248687028885, 0.029526399448513985, -0.003512472612783313, 0.03397045284509659, -0.0008717121090739965, 0.040603283792734146, 0.005037334281951189, 0.0016447817906737328, 0.033586520701646805, -0.06247281655669212, 0.04850074276328087, 0.1165914535522461, 0.016180668026208878, 0.06820280104875565, 0.04230320826172829, 0.015493440441787243, 0.012188775464892387, -0.017470307648181915, -0.093480683863163, 0.023958668112754822, 0.013214577920734882, -0.07735549658536911, -0.03374708816409111, 0.02705681137740612, -0.05609835684299469, -0.07428628206253052, -0.008269619196653366, -0.19792887568473816, -0.022295501083135605, -0.009902468882501125, 0.014450346119701862, -0.017054550349712372, -0.043589137494564056, 0.06777317821979523, 0.07744544744491577, -0.0490863211452961, -0.03251711651682854, -0.003625887678936124, -0.09534645080566406, 0.0013933099107816815, -0.05604769289493561, 0.0758785605430603, 0.03803436830639839, 0.010557873174548149, 0.051447074860334396, -0.0008242024923674762, -0.034869737923145294, 0.029268208891153336, 0.018479548394680023, 0.02559652365744114, -0.023516036570072174, 0.04118647798895836, -0.030356459319591522, 0.010375956073403358, -0.05314517766237259, -0.007032862398773432, -0.05132029205560684, -0.03696742653846741, 0.04112701117992401, 0.1322878748178482, 0.12259683758020401, -0.04437695071101189, 0.07349883019924164, -0.008999240584671497, 0.004475954454392195, -0.06632839888334274, 0.036411236971616745, -0.028792286291718483, 0.03202595189213753, 0.0019716001115739346, -0.04883413016796112, -0.011515429243445396, -0.09536509960889816, -0.0732114240527153, 0.009907757863402367, -0.020553478971123695, 0.02515723928809166, 0.0066570802591741085, -0.023629555478692055, -0.0918048545718193, 0.03224565088748932, -0.09605588763952255, -0.03420140966773033, -3.4680033105394076e-33, 0.010604255832731724, 0.05339718610048294, 0.09900935739278793, 0.010249393992125988, 0.06590710580348969, 0.046171024441719055, 0.00193452974781394, -0.054818350821733475, 0.035062868148088455, -0.08371138572692871, 0.05360246077179909, -0.017767878249287605, -0.02326272986829281, -0.021223997697234154, 0.00800045020878315, 0.046973276883363724, 0.012203586287796497, -0.06738711893558502, 0.06787615269422531, -0.043610118329524994, 0.04591790959239006, -0.013366826809942722, -0.02286028303205967, 0.02006589248776436, 0.0387561097741127, -0.02962379902601242, 0.048846833407878876, -0.04572358354926109, -0.04473700746893883, 0.04417354613542557, 0.03448853641748428, 0.04149088263511658, 0.009133001789450645, 0.006761770695447922, 0.028803184628486633, -0.01803058385848999, 0.015813147649168968, 0.03740055114030838, 0.012687131762504578, 0.012368745170533657, -0.03534270450472832, -0.06578225642442703, -0.06019436940550804, -0.02249336428940296, 0.02966468222439289, 0.11359520256519318, -0.06542294472455978, -0.07225310057401657, -0.05132010579109192, 0.02079244703054428, -0.0017192125087603927, -0.0136947613209486, -0.028865978121757507, 0.01931813545525074, -0.037146102637052536, 0.0658828392624855, 0.0878603607416153, 0.03244234248995781, 0.04825970157980919, -0.003387629287317395, -0.04834413155913353, 0.03999673202633858, 0.04340006783604622, 0.01917242631316185, -0.12147394567728043, -0.06642185151576996, -0.044675130397081375, 0.024537473917007446, 0.09298785030841827, 0.018186768516898155, -0.006734687369316816, 0.012225942686200142, 0.07170173525810242, 0.051661353558301926, 0.03569098189473152, -0.03554455190896988, 0.09644762426614761, -0.032773252576589584, -0.053163591772317886, 0.007295621559023857, 0.04643870145082474, 0.0702892392873764, 0.033195991069078445, -0.0003672575985547155, 0.036453451961278915, 0.03718699514865875, -0.06898948550224304, 0.04893113300204277, -0.036556441336870193, -0.0053797075524926186, -0.013134405948221684, 0.0395817905664444, -0.009586676955223083, 0.016755739226937294, 0.04276334494352341, -4.949518839225675e-8, -0.05942152068018913, -0.036898862570524216, 0.026064377278089523, -0.05941705405712128, -0.05036132410168648, 0.026095842942595482, 0.11258966475725174, 0.025021331384778023, -0.019733110442757607, 0.00953453965485096, 0.007741520181298256, -0.057393137365579605, 0.030535977333784103, -0.08119585365056992, 0.004452827386558056, -0.01602376438677311, 0.014925996772944927, 0.018792789429426193, 0.019448688253760338, 0.04785895720124245, -0.007916255854070187, -0.0131330331787467, 0.010758964344859123, 0.027714088559150696, 0.04498487710952759, -0.04569593816995621, -0.047815509140491486, -0.05221718177199364, -0.030171062797307968, -0.01832643337547779, -0.06797729432582855, 0.08189898729324341, 0.03161923959851265, 0.13073526322841644, -0.02027084119617939, 0.03601352497935295, -0.016533300280570984, -0.016511887311935425, -0.02943839319050312, 0.10401419550180435, 0.01812584698200226, 0.05444210395216942, -0.02067156322300434, 0.0044324262998998165, 0.04005871340632439, 0.04237741976976395, -0.03161020204424858, -0.02189432643353939, 0.037632670253515244, -0.040480852127075195, -0.02460944652557373, 0.05466960370540619, -0.015335970558226109, -0.01646585762500763, -0.014188271015882492, 0.07572992146015167, -0.1018076092004776, -0.06631164997816086, -0.00969622191041708, -0.04829907789826393, -0.0008287670789286494, -0.05549405887722969, -0.09930866956710815, 0.003109808312729001 ]
null
null
null
null
null
null
null
[ -0.009050552733242512, 0.058926090598106384, 0.032903071492910385, -0.02611834555864334, 0.037960346788167953, 0.0025668146554380655, -0.01939471997320652, 0.0663679763674736, -0.04137911647558212, 0.046904727816581726, -0.002971961395815015, 0.04582424834370613, -0.026459846645593643, 0.05914118513464928, 0.06402571499347687, -0.0058239842765033245, 0.045802418142557144, -0.006171452347189188, -0.0531582236289978, 0.10842118412256241, 0.04758836701512337, 0.0772923082113266, 0.05404599756002426, -0.1184595599770546, 0.028858819976449013, 0.01916363462805748, 0.02201436087489128, 0.06932073831558228, 0.04920917749404907, -0.0184300746768713, 0.1259629726409912, 0.0032278194557875395, -0.12300324440002441, 0.004313197918236256, -0.09104377776384354, -0.015477007254958153, -0.007988715544342995, 0.025487175211310387, -0.05024215579032898, 0.006936145480722189, -0.04433445259928703, 0.07166318595409393, -0.027582518756389618, 0.06453817337751389, 0.013641583733260632, -0.11714237183332443, -0.017870603129267693, 0.013919810764491558, -0.03733735531568527, -0.07221774011850357, 0.11196253448724747, -0.023301269859075546, 0.048106659203767776, 0.029649121686816216, -0.015877867117524147, 0.03619992733001709, 0.019430389627814293, -0.0036214329302310944, 0.07079984992742538, -0.00817547645419836, 0.04040171578526497, 0.0038868715055286884, 0.06476391106843948, -0.003919428214430809, 0.050407085567712784, -0.05339070037007332, 0.010603916831314564, -0.06918012350797653, -0.07218341529369354, 0.031752780079841614, -0.11612210422754288, 0.020167607814073563, -0.06778430938720703, -0.008573217317461967, 0.05984693765640259, -0.0024336427450180054, 0.020018447190523148, 0.05211271345615387, 0.027395915240049362, -0.06248379498720169, 0.01664937101304531, 0.013775495812296867, 0.0511675663292408, -0.013601694256067276, 0.05614115297794342, 0.07114915549755096, -0.11912181228399277, -0.05366847291588783, -0.038205381482839584, -0.044436823576688766, -0.03029203973710537, 0.012183851562440395, -0.10256364941596985, -0.020294087007641792, -0.01685427501797676, -0.04161802679300308, 0.14412397146224976, -0.01396271213889122, 0.018437853083014488, 0.02493267133831978, 0.006138975732028484, -0.03332219272851944, -0.005052609369158745, -0.07399267703294754, -0.05699675530195236, -0.07880722731351852, 0.015305579639971256, 0.06430309265851974, -0.07194504141807556, -0.045758992433547974, -0.08355211466550827, 0.06908928602933884, 0.0285330843180418, 0.11589420586824417, -0.04658704996109009, -0.014735238626599312, 0.08961448073387146, -0.019212156534194946, 0.018444744870066643, -0.03748072683811188, -0.09049511700868607, 0.03215919807553291, -0.036948490887880325, 0.012765408493578434, -0.06598344445228577, 0.028232380747795105, -0.0711422935128212, 1.7319599685191193e-33, 0.014350159093737602, 0.05269542708992958, -0.03242407366633415, -0.03106890432536602, 0.0068124583922326565, -0.0991988480091095, -0.034772902727127075, -0.01112041249871254, -0.05686017498373985, 0.015338907018303871, -0.05808645859360695, 0.03128593787550926, 0.023089248687028885, 0.029526399448513985, -0.003512472612783313, 0.03397045284509659, -0.0008717121090739965, 0.040603283792734146, 0.005037334281951189, 0.0016447817906737328, 0.033586520701646805, -0.06247281655669212, 0.04850074276328087, 0.1165914535522461, 0.016180668026208878, 0.06820280104875565, 0.04230320826172829, 0.015493440441787243, 0.012188775464892387, -0.017470307648181915, -0.093480683863163, 0.023958668112754822, 0.013214577920734882, -0.07735549658536911, -0.03374708816409111, 0.02705681137740612, -0.05609835684299469, -0.07428628206253052, -0.008269619196653366, -0.19792887568473816, -0.022295501083135605, -0.009902468882501125, 0.014450346119701862, -0.017054550349712372, -0.043589137494564056, 0.06777317821979523, 0.07744544744491577, -0.0490863211452961, -0.03251711651682854, -0.003625887678936124, -0.09534645080566406, 0.0013933099107816815, -0.05604769289493561, 0.0758785605430603, 0.03803436830639839, 0.010557873174548149, 0.051447074860334396, -0.0008242024923674762, -0.034869737923145294, 0.029268208891153336, 0.018479548394680023, 0.02559652365744114, -0.023516036570072174, 0.04118647798895836, -0.030356459319591522, 0.010375956073403358, -0.05314517766237259, -0.007032862398773432, -0.05132029205560684, -0.03696742653846741, 0.04112701117992401, 0.1322878748178482, 0.12259683758020401, -0.04437695071101189, 0.07349883019924164, -0.008999240584671497, 0.004475954454392195, -0.06632839888334274, 0.036411236971616745, -0.028792286291718483, 0.03202595189213753, 0.0019716001115739346, -0.04883413016796112, -0.011515429243445396, -0.09536509960889816, -0.0732114240527153, 0.009907757863402367, -0.020553478971123695, 0.02515723928809166, 0.0066570802591741085, -0.023629555478692055, -0.0918048545718193, 0.03224565088748932, -0.09605588763952255, -0.03420140966773033, -3.4680033105394076e-33, 0.010604255832731724, 0.05339718610048294, 0.09900935739278793, 0.010249393992125988, 0.06590710580348969, 0.046171024441719055, 0.00193452974781394, -0.054818350821733475, 0.035062868148088455, -0.08371138572692871, 0.05360246077179909, -0.017767878249287605, -0.02326272986829281, -0.021223997697234154, 0.00800045020878315, 0.046973276883363724, 0.012203586287796497, -0.06738711893558502, 0.06787615269422531, -0.043610118329524994, 0.04591790959239006, -0.013366826809942722, -0.02286028303205967, 0.02006589248776436, 0.0387561097741127, -0.02962379902601242, 0.048846833407878876, -0.04572358354926109, -0.04473700746893883, 0.04417354613542557, 0.03448853641748428, 0.04149088263511658, 0.009133001789450645, 0.006761770695447922, 0.028803184628486633, -0.01803058385848999, 0.015813147649168968, 0.03740055114030838, 0.012687131762504578, 0.012368745170533657, -0.03534270450472832, -0.06578225642442703, -0.06019436940550804, -0.02249336428940296, 0.02966468222439289, 0.11359520256519318, -0.06542294472455978, -0.07225310057401657, -0.05132010579109192, 0.02079244703054428, -0.0017192125087603927, -0.0136947613209486, -0.028865978121757507, 0.01931813545525074, -0.037146102637052536, 0.0658828392624855, 0.0878603607416153, 0.03244234248995781, 0.04825970157980919, -0.003387629287317395, -0.04834413155913353, 0.03999673202633858, 0.04340006783604622, 0.01917242631316185, -0.12147394567728043, -0.06642185151576996, -0.044675130397081375, 0.024537473917007446, 0.09298785030841827, 0.018186768516898155, -0.006734687369316816, 0.012225942686200142, 0.07170173525810242, 0.051661353558301926, 0.03569098189473152, -0.03554455190896988, 0.09644762426614761, -0.032773252576589584, -0.053163591772317886, 0.007295621559023857, 0.04643870145082474, 0.0702892392873764, 0.033195991069078445, -0.0003672575985547155, 0.036453451961278915, 0.03718699514865875, -0.06898948550224304, 0.04893113300204277, -0.036556441336870193, -0.0053797075524926186, -0.013134405948221684, 0.0395817905664444, -0.009586676955223083, 0.016755739226937294, 0.04276334494352341, -4.949518839225675e-8, -0.05942152068018913, -0.036898862570524216, 0.026064377278089523, -0.05941705405712128, -0.05036132410168648, 0.026095842942595482, 0.11258966475725174, 0.025021331384778023, -0.019733110442757607, 0.00953453965485096, 0.007741520181298256, -0.057393137365579605, 0.030535977333784103, -0.08119585365056992, 0.004452827386558056, -0.01602376438677311, 0.014925996772944927, 0.018792789429426193, 0.019448688253760338, 0.04785895720124245, -0.007916255854070187, -0.0131330331787467, 0.010758964344859123, 0.027714088559150696, 0.04498487710952759, -0.04569593816995621, -0.047815509140491486, -0.05221718177199364, -0.030171062797307968, -0.01832643337547779, -0.06797729432582855, 0.08189898729324341, 0.03161923959851265, 0.13073526322841644, -0.02027084119617939, 0.03601352497935295, -0.016533300280570984, -0.016511887311935425, -0.02943839319050312, 0.10401419550180435, 0.01812584698200226, 0.05444210395216942, -0.02067156322300434, 0.0044324262998998165, 0.04005871340632439, 0.04237741976976395, -0.03161020204424858, -0.02189432643353939, 0.037632670253515244, -0.040480852127075195, -0.02460944652557373, 0.05466960370540619, -0.015335970558226109, -0.01646585762500763, -0.014188271015882492, 0.07572992146015167, -0.1018076092004776, -0.06631164997816086, -0.00969622191041708, -0.04829907789826393, -0.0008287670789286494, -0.05549405887722969, -0.09930866956710815, 0.003109808312729001 ]
1402.0451
Adriano Barra Dr.
Elena Agliari and Elena Biselli and Adele De Ninno and Giovanna Schiavoni and Lucia Gabriele and Anna Gerardino and Fabrizio Mattei and Adriano Barra and Luca Businaro
Cancer-driven dynamics of immune cells in a microfluidic environment
null
Nature Scientific Reports 4, 6639 (2014)
10.1038/srep06639
Roma01.Math
q-bio.CB cond-mat.dis-nn physics.bio-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Scope of the present work is to frame into a rigorous, quantitative scaffold - stemmed from stochastic process theory - two sets of experiments designed to infer the spontaneous organization of leukocytes against cancer cells, namely mice splenocytes vs. B16 mouse tumor cells, and embedded in an "ad hoc" microfluidic environment developed on a LabOnChip technology. In the former, splenocytes from knocked out (KO) mice engineered to silence the transcription factor IRF-8, crucial for the development and function of several immune populations, were used. In this case lymphocytes and cancer cells exhibited a poor reciprocal exchange, resulting in the inability of coordinating or mounting an effective immune response against melanoma. In the second class of tests, wild type (WT) splenocytes were able to interact with and to coordinate a response against the tumor cells through physical interaction. The environment where cells moved was built of by two different chambers, containing respectively melanoma cells and splenocytes, connected by capillary migration channels allowing leucocytes to migrate from their chamber toward the melanoma one. We collected and analyzed data on the motility of the cells and found that the first ensemble of IRF-8 KO cells performed pure uncorrelated random walks, while WT splenocytes were able to make singular drifted random walks, that, averaged over the ensemble of cells, collapsed on a straight ballistic motion for the system as a whole. At a finer level of investigation, we found that IRF-8 KO splenocytes moved rather uniformly since their step lengths were exponentially distributed, while WT counterpart displayed a qualitatively broader motion as their step lengths along the direction of the melanoma were log-normally distributed.
[ { "created": "Mon, 3 Feb 2014 18:11:20 GMT", "version": "v1" } ]
2016-02-02
[ [ "Agliari", "Elena", "" ], [ "Biselli", "Elena", "" ], [ "De Ninno", "Adele", "" ], [ "Schiavoni", "Giovanna", "" ], [ "Gabriele", "Lucia", "" ], [ "Gerardino", "Anna", "" ], [ "Mattei", "Fabrizio", "" ], [ "Barra", "Adriano", "" ], [ "Businaro", "Luca", "" ] ]
[ -0.009700026363134384, -0.06267444789409637, -0.022933265194296837, 0.010238409973680973, 0.08491192013025284, -0.019243968650698662, 0.08260729908943176, 0.07825671881437302, 0.047781188040971756, 0.023099442943930626, -0.040648579597473145, 0.01612701080739498, -0.0019525600364431739, 0.03009815141558647, -0.050994109362363815, 0.03327441215515137, -0.040972691029310226, 0.08431787043809891, -0.10408615320920944, 0.04695681482553482, -0.02009081095457077, -0.08436036109924316, -0.0463033951818943, 0.04969101399183273, -0.03862669691443443, -0.03905053809285164, -0.0009608912514522672, 0.015165891498327255, -0.1077113077044487, 0.0142495296895504, -0.004625381901860237, 0.00038683152524754405, -0.01747777871787548, -0.02957853488624096, 0.015438903123140335, 0.02272639609873295, -0.006315609905868769, 0.0763537809252739, -0.06524177640676498, -0.034580375999212265, -0.007833477109670639, -0.07688738405704498, 0.0011508387979120016, 0.03461959958076477, 0.023585060611367226, -0.051566995680332184, -0.03205707669258118, -0.015023631043732166, -0.017256470397114754, 0.11408102512359619, -0.02133113332092762, 0.10107147693634033, -0.09654674679040909, 0.09590169787406921, -0.09021514654159546, 0.03935649245977402, -0.09221439063549042, -0.01795552298426628, 0.02522905357182026, -0.026667794212698936, -0.020890608429908752, -0.06254411488771439, -0.001087020500563085, 0.060080304741859436, 0.038457345217466354, -0.040853023529052734, 0.0329291857779026, -0.00005441398388938978, -0.044012874364852905, -0.031632475554943085, 0.0393647700548172, -0.0015210957499220967, -0.05056759715080261, 0.013677006587386131, 0.08257067203521729, 0.038638535887002945, 0.06973185390233994, 0.02689235284924507, 0.01136790867894888, 0.07342731952667236, 0.08159354329109192, 0.07862216979265213, 0.11435597389936447, 0.02089889720082283, -0.05648752674460411, -0.0263743344694376, 0.04452796280384064, 0.04603029042482376, -0.011766154319047928, 0.05143720284104347, -0.038343749940395355, 0.06317947804927826, -0.011504882015287876, 0.026279401034116745, 0.04263008385896683, 0.010798991657793522, -0.0037294141948223114, -0.011447454802691936, 0.09729026257991791, 0.019151482731103897, -0.12266398221254349, -0.09721875935792923, 0.0030177095904946327, 0.013359653763473034, 0.054853156208992004, -0.05243915319442749, -0.04954566806554794, -0.01962669938802719, -0.02304701693356037, 0.004345786292105913, 0.0466974712908268, -0.009473403915762901, 0.05647372826933861, 0.05499028041958809, 0.06881097704172134, 0.04698500037193298, -0.007888705469667912, -0.05189688503742218, -0.0037768222391605377, 0.018210245296359062, 0.007820583879947662, -0.0008637221762910485, -0.0292973592877388, -0.05103489011526108, 0.016975317150354385, 0.05336197093129158, 0.06316151469945908, 2.6192396349090904e-33, 0.07589274644851685, -0.06387688219547272, 0.047589052468538284, 0.0577935166656971, -0.030616050586104393, -0.05608847737312317, 0.03451133146882057, -0.0360187292098999, -0.023954270407557487, 0.011066503822803497, -0.004427331034094095, 0.024528535082936287, 0.047818101942539215, 0.02281208522617817, -0.02024218626320362, -0.029524188488721848, 0.017115198075771332, -0.08601651340723038, -0.017296472564339638, -0.02841917984187603, -0.037258580327034, 0.01086784154176712, 0.029951710253953934, -0.07421063631772995, 0.015579392202198505, 0.025630155578255653, -0.08846522122621536, 0.02392849512398243, -0.00503899808973074, 0.020228881388902664, -0.08093578368425369, -0.006712331902235746, -0.039395950734615326, 0.05436820536851883, 0.006733310408890247, 0.0044638230465352535, -0.009180348366498947, -0.059796739369630814, 0.042684104293584824, -0.026143034920096397, -0.037507716566324234, 0.016467753797769547, -0.04259919747710228, -0.07163070142269135, 0.049679335206747055, -0.07679162174463272, -0.04489097371697426, -0.020802294835448265, 0.008637097664177418, 0.0553361177444458, 0.06091558188199997, -0.034492671489715576, 0.04412537440657616, -0.01573297753930092, 0.02187994495034218, -0.050447337329387665, -0.03451075032353401, 0.02819649875164032, -0.03834239020943642, 0.06405529379844666, -0.067972332239151, 0.014547883532941341, 0.013567105866968632, 0.07132767140865326, 0.10302101820707321, -0.015356224030256271, -0.10382005572319031, -0.03166517987847328, -0.012040484696626663, -0.03251051902770996, 0.018351728096604347, 0.011830315925180912, 0.01051122322678566, -0.08629653602838516, -0.029402272775769234, 0.015528778545558453, 0.08442937582731247, 0.08131939172744751, -0.08626357465982437, 0.07519486546516418, 0.04373566433787346, -0.014752860181033611, -0.15334399044513702, 0.07581107318401337, -0.08363354951143265, -0.01071260031312704, -0.06342413276433945, -0.03363674134016037, -0.013905927538871765, -0.08586682379245758, 0.009735243394970894, -0.021807337179780006, -0.02008558064699173, -0.05630236864089966, -0.026874668896198273, -4.288959748946062e-33, 0.011461627669632435, -0.08073888719081879, -0.008817369118332863, 0.0363241508603096, 0.02321362867951393, 0.10451459139585495, 0.019796904176473618, -0.04734601452946663, 0.007302273530513048, 0.07026515901088715, -0.006856671068817377, 0.04481368511915207, -0.05144907906651497, 0.049219269305467606, -0.026781192049384117, -0.10381010174751282, 0.019749442115426064, 0.02776993066072464, -0.000533905578777194, -0.0292050838470459, -0.02607901021838188, 0.09528262168169022, -0.039708081632852554, 0.057037848979234695, -0.04152092710137367, -0.002991295186802745, -0.060488130897283554, 0.06973230838775635, 0.011053668335080147, -0.005823599640280008, -0.06134050339460373, 0.0021938409190624952, 0.011256669647991657, 0.06387276202440262, 0.15411438047885895, -0.002627022797241807, 0.09571902453899384, 0.03228861838579178, -0.010932658798992634, -0.10804939270019531, 0.013149159960448742, -0.01205041166394949, -0.07988106459379196, 0.043741751462221146, 0.11146081238985062, 0.09762173891067505, 0.022244051098823547, -0.012579665519297123, 0.01661413535475731, 0.031744491308927536, -0.02677944116294384, 0.014361937530338764, -0.10752933472394943, -0.03802778199315071, -0.06838403642177582, -0.004680694546550512, 0.07386008650064468, -0.0705321878194809, 0.06407836824655533, -0.024973932653665543, 0.0010609356686472893, -0.05240180343389511, -0.01806267537176609, -0.03050355240702629, 0.004735651891678572, 0.07783420383930206, 0.02821514941751957, 0.0081314193084836, -0.02164917066693306, -0.05706176534295082, 0.06229088082909584, 0.03634914755821228, 0.061077628284692764, -0.04077039659023285, 0.0005672059487551451, 0.024436261504888535, 0.05778523162007332, -0.026741765439510345, 0.042771533131599426, 0.07557567954063416, 0.009992684237658978, -0.009162398055195808, 0.027711762115359306, -0.02588525600731373, 0.09020654112100601, 0.06125417724251747, -0.04731491953134537, -0.028845876455307007, -0.03562275692820549, -0.03889923542737961, 0.02261924557387829, -0.036498408764600754, 0.051574964076280594, 0.051172804087400436, 0.01217101514339447, -5.206282338576784e-8, 0.134752094745636, -0.014889641664922237, 0.016885017976164818, -0.03959217295050621, -0.03254954144358635, 0.05324326455593109, 0.04040843993425369, -0.012409674003720284, -0.007818881422281265, 0.03127489611506462, -0.007768645416945219, 0.05114702507853508, 0.012151922099292278, -0.007031907327473164, 0.10757796466350555, 0.06374640017747879, 0.006833366118371487, -0.0793091431260109, -0.06231357157230377, 0.00023275935382116586, 0.012638685293495655, -0.06259474158287048, -0.03604884818196297, 0.06327686458826065, -0.02144240401685238, -0.027084678411483765, -0.03767639398574829, 0.010383672080934048, 0.041499678045511246, -0.07870281487703323, 0.03898153826594353, 0.0023823759984225035, -0.017793484032154083, 0.08630117774009705, -0.0956958457827568, 0.015615459531545639, 0.05114765465259552, -0.05044696107506752, -0.0039116875268518925, -0.006404044572263956, -0.06723810732364655, 0.0670723095536232, -0.07108184695243835, -0.07159135490655899, -0.09835074096918106, -0.014553461223840714, -0.03515714034438133, -0.07593223452568054, -0.02830716222524643, -0.03238387778401375, -0.11440840363502502, -0.023534025996923447, -0.05805353447794914, 0.04917948320508003, -0.04723198339343071, 0.03533105179667473, -0.024517331272363663, -0.06835699081420898, 0.07091785967350006, -0.02156067080795765, -0.01591070555150509, 0.07262858748435974, 0.007595909759402275, -0.029312072321772575 ]
null
null
null
null
null
null
null
[ -0.009700026363134384, -0.06267444789409637, -0.022933265194296837, 0.010238409973680973, 0.08491192013025284, -0.019243968650698662, 0.08260729908943176, 0.07825671881437302, 0.047781188040971756, 0.023099442943930626, -0.040648579597473145, 0.01612701080739498, -0.0019525600364431739, 0.03009815141558647, -0.050994109362363815, 0.03327441215515137, -0.040972691029310226, 0.08431787043809891, -0.10408615320920944, 0.04695681482553482, -0.02009081095457077, -0.08436036109924316, -0.0463033951818943, 0.04969101399183273, -0.03862669691443443, -0.03905053809285164, -0.0009608912514522672, 0.015165891498327255, -0.1077113077044487, 0.0142495296895504, -0.004625381901860237, 0.00038683152524754405, -0.01747777871787548, -0.02957853488624096, 0.015438903123140335, 0.02272639609873295, -0.006315609905868769, 0.0763537809252739, -0.06524177640676498, -0.034580375999212265, -0.007833477109670639, -0.07688738405704498, 0.0011508387979120016, 0.03461959958076477, 0.023585060611367226, -0.051566995680332184, -0.03205707669258118, -0.015023631043732166, -0.017256470397114754, 0.11408102512359619, -0.02133113332092762, 0.10107147693634033, -0.09654674679040909, 0.09590169787406921, -0.09021514654159546, 0.03935649245977402, -0.09221439063549042, -0.01795552298426628, 0.02522905357182026, -0.026667794212698936, -0.020890608429908752, -0.06254411488771439, -0.001087020500563085, 0.060080304741859436, 0.038457345217466354, -0.040853023529052734, 0.0329291857779026, -0.00005441398388938978, -0.044012874364852905, -0.031632475554943085, 0.0393647700548172, -0.0015210957499220967, -0.05056759715080261, 0.013677006587386131, 0.08257067203521729, 0.038638535887002945, 0.06973185390233994, 0.02689235284924507, 0.01136790867894888, 0.07342731952667236, 0.08159354329109192, 0.07862216979265213, 0.11435597389936447, 0.02089889720082283, -0.05648752674460411, -0.0263743344694376, 0.04452796280384064, 0.04603029042482376, -0.011766154319047928, 0.05143720284104347, -0.038343749940395355, 0.06317947804927826, -0.011504882015287876, 0.026279401034116745, 0.04263008385896683, 0.010798991657793522, -0.0037294141948223114, -0.011447454802691936, 0.09729026257991791, 0.019151482731103897, -0.12266398221254349, -0.09721875935792923, 0.0030177095904946327, 0.013359653763473034, 0.054853156208992004, -0.05243915319442749, -0.04954566806554794, -0.01962669938802719, -0.02304701693356037, 0.004345786292105913, 0.0466974712908268, -0.009473403915762901, 0.05647372826933861, 0.05499028041958809, 0.06881097704172134, 0.04698500037193298, -0.007888705469667912, -0.05189688503742218, -0.0037768222391605377, 0.018210245296359062, 0.007820583879947662, -0.0008637221762910485, -0.0292973592877388, -0.05103489011526108, 0.016975317150354385, 0.05336197093129158, 0.06316151469945908, 2.6192396349090904e-33, 0.07589274644851685, -0.06387688219547272, 0.047589052468538284, 0.0577935166656971, -0.030616050586104393, -0.05608847737312317, 0.03451133146882057, -0.0360187292098999, -0.023954270407557487, 0.011066503822803497, -0.004427331034094095, 0.024528535082936287, 0.047818101942539215, 0.02281208522617817, -0.02024218626320362, -0.029524188488721848, 0.017115198075771332, -0.08601651340723038, -0.017296472564339638, -0.02841917984187603, -0.037258580327034, 0.01086784154176712, 0.029951710253953934, -0.07421063631772995, 0.015579392202198505, 0.025630155578255653, -0.08846522122621536, 0.02392849512398243, -0.00503899808973074, 0.020228881388902664, -0.08093578368425369, -0.006712331902235746, -0.039395950734615326, 0.05436820536851883, 0.006733310408890247, 0.0044638230465352535, -0.009180348366498947, -0.059796739369630814, 0.042684104293584824, -0.026143034920096397, -0.037507716566324234, 0.016467753797769547, -0.04259919747710228, -0.07163070142269135, 0.049679335206747055, -0.07679162174463272, -0.04489097371697426, -0.020802294835448265, 0.008637097664177418, 0.0553361177444458, 0.06091558188199997, -0.034492671489715576, 0.04412537440657616, -0.01573297753930092, 0.02187994495034218, -0.050447337329387665, -0.03451075032353401, 0.02819649875164032, -0.03834239020943642, 0.06405529379844666, -0.067972332239151, 0.014547883532941341, 0.013567105866968632, 0.07132767140865326, 0.10302101820707321, -0.015356224030256271, -0.10382005572319031, -0.03166517987847328, -0.012040484696626663, -0.03251051902770996, 0.018351728096604347, 0.011830315925180912, 0.01051122322678566, -0.08629653602838516, -0.029402272775769234, 0.015528778545558453, 0.08442937582731247, 0.08131939172744751, -0.08626357465982437, 0.07519486546516418, 0.04373566433787346, -0.014752860181033611, -0.15334399044513702, 0.07581107318401337, -0.08363354951143265, -0.01071260031312704, -0.06342413276433945, -0.03363674134016037, -0.013905927538871765, -0.08586682379245758, 0.009735243394970894, -0.021807337179780006, -0.02008558064699173, -0.05630236864089966, -0.026874668896198273, -4.288959748946062e-33, 0.011461627669632435, -0.08073888719081879, -0.008817369118332863, 0.0363241508603096, 0.02321362867951393, 0.10451459139585495, 0.019796904176473618, -0.04734601452946663, 0.007302273530513048, 0.07026515901088715, -0.006856671068817377, 0.04481368511915207, -0.05144907906651497, 0.049219269305467606, -0.026781192049384117, -0.10381010174751282, 0.019749442115426064, 0.02776993066072464, -0.000533905578777194, -0.0292050838470459, -0.02607901021838188, 0.09528262168169022, -0.039708081632852554, 0.057037848979234695, -0.04152092710137367, -0.002991295186802745, -0.060488130897283554, 0.06973230838775635, 0.011053668335080147, -0.005823599640280008, -0.06134050339460373, 0.0021938409190624952, 0.011256669647991657, 0.06387276202440262, 0.15411438047885895, -0.002627022797241807, 0.09571902453899384, 0.03228861838579178, -0.010932658798992634, -0.10804939270019531, 0.013149159960448742, -0.01205041166394949, -0.07988106459379196, 0.043741751462221146, 0.11146081238985062, 0.09762173891067505, 0.022244051098823547, -0.012579665519297123, 0.01661413535475731, 0.031744491308927536, -0.02677944116294384, 0.014361937530338764, -0.10752933472394943, -0.03802778199315071, -0.06838403642177582, -0.004680694546550512, 0.07386008650064468, -0.0705321878194809, 0.06407836824655533, -0.024973932653665543, 0.0010609356686472893, -0.05240180343389511, -0.01806267537176609, -0.03050355240702629, 0.004735651891678572, 0.07783420383930206, 0.02821514941751957, 0.0081314193084836, -0.02164917066693306, -0.05706176534295082, 0.06229088082909584, 0.03634914755821228, 0.061077628284692764, -0.04077039659023285, 0.0005672059487551451, 0.024436261504888535, 0.05778523162007332, -0.026741765439510345, 0.042771533131599426, 0.07557567954063416, 0.009992684237658978, -0.009162398055195808, 0.027711762115359306, -0.02588525600731373, 0.09020654112100601, 0.06125417724251747, -0.04731491953134537, -0.028845876455307007, -0.03562275692820549, -0.03889923542737961, 0.02261924557387829, -0.036498408764600754, 0.051574964076280594, 0.051172804087400436, 0.01217101514339447, -5.206282338576784e-8, 0.134752094745636, -0.014889641664922237, 0.016885017976164818, -0.03959217295050621, -0.03254954144358635, 0.05324326455593109, 0.04040843993425369, -0.012409674003720284, -0.007818881422281265, 0.03127489611506462, -0.007768645416945219, 0.05114702507853508, 0.012151922099292278, -0.007031907327473164, 0.10757796466350555, 0.06374640017747879, 0.006833366118371487, -0.0793091431260109, -0.06231357157230377, 0.00023275935382116586, 0.012638685293495655, -0.06259474158287048, -0.03604884818196297, 0.06327686458826065, -0.02144240401685238, -0.027084678411483765, -0.03767639398574829, 0.010383672080934048, 0.041499678045511246, -0.07870281487703323, 0.03898153826594353, 0.0023823759984225035, -0.017793484032154083, 0.08630117774009705, -0.0956958457827568, 0.015615459531545639, 0.05114765465259552, -0.05044696107506752, -0.0039116875268518925, -0.006404044572263956, -0.06723810732364655, 0.0670723095536232, -0.07108184695243835, -0.07159135490655899, -0.09835074096918106, -0.014553461223840714, -0.03515714034438133, -0.07593223452568054, -0.02830716222524643, -0.03238387778401375, -0.11440840363502502, -0.023534025996923447, -0.05805353447794914, 0.04917948320508003, -0.04723198339343071, 0.03533105179667473, -0.024517331272363663, -0.06835699081420898, 0.07091785967350006, -0.02156067080795765, -0.01591070555150509, 0.07262858748435974, 0.007595909759402275, -0.029312072321772575 ]
1402.0452
Rangeet Mitra
Rangeet Mitra, Amit Kumar Mishra and Tarun Choubisa
A Lower Bound for the Variance of Estimators for Nakagami m Distribution
null
null
null
null
cs.LG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Recently, we have proposed a maximum likelihood iterative algorithm for estimation of the parameters of the Nakagami-m distribution. This technique performs better than state of art estimation techniques for this distribution. This could be of particular use in low data or block based estimation problems. In these scenarios, the estimator should be able to give accurate estimates in the mean square sense with less amounts of data. Also, the estimates should improve with the increase in number of blocks received. In this paper, we see through our simulations, that our proposal is well designed for such requirements. Further, it is well known in the literature that an efficient estimator does not exist for Nakagami-m distribution. In this paper, we derive a theoretical expression for the variance of our proposed estimator. We find that this expression clearly fits the experimental curve for the variance of the proposed estimator. This expression is pretty close to the cramer-rao lower bound(CRLB).
[ { "created": "Mon, 3 Feb 2014 18:20:46 GMT", "version": "v1" } ]
2014-02-04
[ [ "Mitra", "Rangeet", "" ], [ "Mishra", "Amit Kumar", "" ], [ "Choubisa", "Tarun", "" ] ]
[ -0.05598505958914757, -0.03909074142575264, 0.041321929544210434, 0.024266142398118973, -0.0497363843023777, -0.016213709488511086, -0.0019514781888574362, 0.026668282225728035, 0.022910187020897865, 0.06277770549058914, 0.03272788226604462, 0.027655163779854774, 0.08567558228969574, -0.01910070702433586, -0.019692134112119675, -0.015387628227472305, 0.07825323939323425, 0.07008972018957138, 0.014833475463092327, -0.04845630005002022, 0.011809109710156918, 0.06446483731269836, 0.0030952487140893936, -0.04066067934036255, 0.06275366246700287, -0.009138130582869053, -0.013567095622420311, -0.027351822704076767, -0.0009176344610750675, -0.02212672121822834, 0.047296296805143356, -0.015939150005578995, 0.04704684019088745, -0.020625337958335876, 0.018594171851873398, -0.024729428812861443, -0.04397757723927498, 0.053177591413259506, 0.041230253875255585, 0.04035942628979683, 0.001125579816289246, 0.07874712347984314, 0.09150686115026474, -0.07205528765916824, 0.012600960209965706, -0.027812931686639786, 0.04562236741185188, -0.015321269631385803, -0.003312488319352269, 0.11095429956912994, 0.004772835876792669, 0.06153305247426033, -0.021116526797413826, 0.027888886630535126, 0.09098143130540848, -0.15707151591777802, -0.010150940157473087, -0.14232636988162994, 0.04773055762052536, 0.12604396045207977, 0.02082391083240509, -0.029133658856153488, -0.021003443747758865, 0.033188432455062866, 0.01415392104536295, -0.017316557466983795, 0.04947862774133682, 0.014492299407720566, 0.022560210898518562, 0.008237295784056187, -0.02166670188307762, 0.026169732213020325, -0.09235598891973495, 0.0840671956539154, 0.002885126741603017, -0.024758053943514824, 0.000769440084695816, -0.01491393893957138, 0.01777631975710392, -0.035728950053453445, 0.02434023655951023, 0.014141908846795559, 0.02195354364812374, -0.12788419425487518, 0.06218891963362694, 0.02704807184636593, -0.024150937795639038, 0.06969358026981354, 0.0845167487859726, -0.035076774656772614, 0.0004528801655396819, 0.03683580458164215, -0.1129736378788948, 0.09830513596534729, -0.028151800855994225, -0.027223026379942894, 0.025953589007258415, -0.05219321697950363, -0.04083860665559769, 0.0816536545753479, 0.013372629880905151, 0.08679931610822678, -0.04971315339207649, -0.0776049867272377, -0.012543998658657074, -0.12279185652732849, 0.07698468118906021, 0.02326074056327343, -0.07503774762153625, 0.020548557862639427, -0.023151760920882225, -0.01043018139898777, -0.034871749579906464, 0.02304654009640217, -0.03133712708950043, -0.03737776726484299, 0.06654404103755951, 0.1111159399151802, -0.006254495587199926, 0.03392807021737099, 0.024257894605398178, -0.06483133882284164, 0.038397982716560364, 0.002907335991039872, 0.014904509298503399, 0.047742269933223724, -0.057651087641716, 2.935658285908472e-33, -0.019087105989456177, 0.0437689945101738, -0.000796557345893234, -0.03698163107037544, 0.040513839572668076, -0.021114453673362732, 0.06492865085601807, -0.02977917343378067, 0.029282428324222565, 0.01719478704035282, -0.003761888947337866, -0.029693955555558205, -0.07209979742765427, -0.07617408037185669, -0.015665248036384583, -0.05074053630232811, -0.014531263150274754, 0.037880610674619675, -0.03717191889882088, 0.03762653470039368, 0.01013399101793766, -0.01975318416953087, 0.055781289935112, -0.002787563018500805, -0.01331796869635582, 0.014051420614123344, 0.06307213753461838, -0.010191327892243862, -0.026462897658348083, 0.055166132748126984, 0.021192768588662148, 0.005450539756566286, -0.05093172565102577, -0.08638716489076614, -0.04688894748687744, -0.06602157652378082, -0.02098999172449112, -0.05485375225543976, -0.09181198477745056, 0.0646703913807869, -0.09620583802461624, 0.057000916451215744, -0.005243263673037291, -0.06224021688103676, -0.10470256954431534, -0.04626449570059776, 0.007086786441504955, -0.028801072388887405, 0.06269752234220505, -0.04937746748328209, -0.03649740666151047, -0.028516437858343124, 0.0029126424342393875, -0.006756170652806759, 0.04365053400397301, 0.011484418995678425, -0.038784414529800415, -0.03638110309839249, 0.04250152409076691, 0.058328866958618164, -0.10351641476154327, -0.04707901179790497, -0.02231566421687603, 0.031642332673072815, 0.05676291510462761, -0.012302348390221596, 0.012791295535862446, -0.042674772441387177, 0.019974710419774055, 0.0036886835005134344, 0.10279031097888947, -0.027785982936620712, -0.09144970774650574, -0.0030760420486330986, -0.06425893306732178, -0.005251993890851736, 0.0122636454179883, 0.029110798612236977, 0.006012545432895422, -0.006198125425726175, -0.003008004743605852, 0.04660748317837715, 0.0037984903901815414, -0.020260659977793694, 0.08009369671344757, 0.0044006407260894775, -0.02702202834188938, 0.01943129114806652, -0.026218213140964508, -0.04631425440311432, -0.00005214477641857229, 0.07570118457078934, -0.07186678051948547, -0.007741814479231834, -0.0006256876513361931, -2.0942647761868184e-33, -0.03938141092658043, 0.11578290909528732, 0.06711634993553162, 0.0630125105381012, -0.06190734729170799, -0.09244543313980103, 0.01809443160891533, 0.0995284840464592, 0.034126538783311844, -0.028701772913336754, -0.06936913728713989, -0.02330023981630802, -0.011036140844225883, 0.07047095894813538, 0.02415531314909458, 0.030292710289359093, 0.12740330398082733, 0.030823038890957832, 0.031470101326704025, -0.032507576048374176, -0.05908928066492081, 0.0076262373477220535, -0.0080634243786335, 0.012928329408168793, -0.029580656439065933, 0.004155563190579414, -0.07480644434690475, 0.0917864665389061, -0.050042010843753815, -0.045976679772138596, -0.028910735622048378, -0.02092529833316803, -0.05668514221906662, -0.005329445004463196, -0.07199377566576004, 0.06277412921190262, 0.06585589051246643, 0.07057204842567444, -0.012631766498088837, 0.05564869940280914, 0.0728154182434082, 0.07629954069852829, 0.04601934924721718, -0.08869152516126633, -0.006601506378501654, -0.008990957401692867, 0.054391928017139435, 0.1214519664645195, 0.04030812904238701, -0.06428350508213043, 0.014564404264092445, -0.0029208348132669926, 0.004784945398569107, 0.08372422307729721, -0.005514371208846569, -0.016219409182667732, 0.00857912003993988, -0.04069026559591293, 0.038910992443561554, -0.037914060056209564, -0.040592871606349945, -0.035416241735219955, -0.025702493265271187, -0.013996005058288574, -0.022460704669356346, 0.048805121332407, 0.06811617314815521, -0.0213262140750885, -0.05322819948196411, 0.08333660662174225, -0.028084849938750267, -0.06950008869171143, 0.017841730266809464, 0.015841858461499214, -0.010394728742539883, 0.04152682051062584, 0.009416971355676651, 0.03111162781715393, 0.04472858086228371, -0.043609313666820526, 0.039485350251197815, 0.012398791499435902, -0.057577118277549744, -0.08656448870897293, 0.11969836056232452, 0.0009256326011382043, 0.04847995191812515, -0.08396897464990616, 0.11052146553993225, 0.011832240968942642, -0.020313464105129242, 0.018900716677308083, 0.006295779254287481, -0.026612944900989532, -0.013908077962696552, -5.0914035654159306e-8, -0.0688505470752716, -0.09205228090286255, -0.03686269000172615, -0.07084748893976212, 0.10242535173892975, 0.10202021896839142, -0.02020162157714367, -0.024908117949962616, 0.06025967374444008, -0.11577395349740982, 0.10525701195001602, -0.021305864676833153, -0.028720369562506676, 0.06963241100311279, -0.06444688141345978, 0.061039455235004425, -0.007627103012055159, 0.07468976825475693, -0.008746758103370667, -0.02392798662185669, -0.0014808459673076868, 0.045722249895334244, 0.06977856904268265, -0.06655287742614746, 0.0439104400575161, 0.01521158404648304, -0.006455364637076855, 0.01860143430531025, 0.0012362826382741332, -0.03429121896624565, -0.07868131250143051, -0.03292282670736313, -0.026816751807928085, -0.015181348659098148, -0.05625694990158081, 0.022727278992533684, 0.015561295673251152, 0.0002013673074543476, -0.009550501592457294, 0.010122896172106266, 0.03790928050875664, -0.04762972891330719, -0.028411928564310074, 0.0062179421074688435, 0.052565474063158035, 0.025284336879849434, -0.041238415986299515, -0.017813680693507195, -0.04582982137799263, -0.07433430850505829, 0.016407521441578865, -0.07751288264989853, 0.09831437468528748, -0.037863943725824356, 0.0021715115290135145, 0.0049335467629134655, 0.06781511753797531, -0.08758345991373062, 0.042862556874752045, -0.01867666095495224, 0.030183255672454834, -0.08527875691652298, -0.07770632207393646, 0.022935962304472923 ]
null
null
null
null
null
null
null
[ -0.05598505958914757, -0.03909074142575264, 0.041321929544210434, 0.024266142398118973, -0.0497363843023777, -0.016213709488511086, -0.0019514781888574362, 0.026668282225728035, 0.022910187020897865, 0.06277770549058914, 0.03272788226604462, 0.027655163779854774, 0.08567558228969574, -0.01910070702433586, -0.019692134112119675, -0.015387628227472305, 0.07825323939323425, 0.07008972018957138, 0.014833475463092327, -0.04845630005002022, 0.011809109710156918, 0.06446483731269836, 0.0030952487140893936, -0.04066067934036255, 0.06275366246700287, -0.009138130582869053, -0.013567095622420311, -0.027351822704076767, -0.0009176344610750675, -0.02212672121822834, 0.047296296805143356, -0.015939150005578995, 0.04704684019088745, -0.020625337958335876, 0.018594171851873398, -0.024729428812861443, -0.04397757723927498, 0.053177591413259506, 0.041230253875255585, 0.04035942628979683, 0.001125579816289246, 0.07874712347984314, 0.09150686115026474, -0.07205528765916824, 0.012600960209965706, -0.027812931686639786, 0.04562236741185188, -0.015321269631385803, -0.003312488319352269, 0.11095429956912994, 0.004772835876792669, 0.06153305247426033, -0.021116526797413826, 0.027888886630535126, 0.09098143130540848, -0.15707151591777802, -0.010150940157473087, -0.14232636988162994, 0.04773055762052536, 0.12604396045207977, 0.02082391083240509, -0.029133658856153488, -0.021003443747758865, 0.033188432455062866, 0.01415392104536295, -0.017316557466983795, 0.04947862774133682, 0.014492299407720566, 0.022560210898518562, 0.008237295784056187, -0.02166670188307762, 0.026169732213020325, -0.09235598891973495, 0.0840671956539154, 0.002885126741603017, -0.024758053943514824, 0.000769440084695816, -0.01491393893957138, 0.01777631975710392, -0.035728950053453445, 0.02434023655951023, 0.014141908846795559, 0.02195354364812374, -0.12788419425487518, 0.06218891963362694, 0.02704807184636593, -0.024150937795639038, 0.06969358026981354, 0.0845167487859726, -0.035076774656772614, 0.0004528801655396819, 0.03683580458164215, -0.1129736378788948, 0.09830513596534729, -0.028151800855994225, -0.027223026379942894, 0.025953589007258415, -0.05219321697950363, -0.04083860665559769, 0.0816536545753479, 0.013372629880905151, 0.08679931610822678, -0.04971315339207649, -0.0776049867272377, -0.012543998658657074, -0.12279185652732849, 0.07698468118906021, 0.02326074056327343, -0.07503774762153625, 0.020548557862639427, -0.023151760920882225, -0.01043018139898777, -0.034871749579906464, 0.02304654009640217, -0.03133712708950043, -0.03737776726484299, 0.06654404103755951, 0.1111159399151802, -0.006254495587199926, 0.03392807021737099, 0.024257894605398178, -0.06483133882284164, 0.038397982716560364, 0.002907335991039872, 0.014904509298503399, 0.047742269933223724, -0.057651087641716, 2.935658285908472e-33, -0.019087105989456177, 0.0437689945101738, -0.000796557345893234, -0.03698163107037544, 0.040513839572668076, -0.021114453673362732, 0.06492865085601807, -0.02977917343378067, 0.029282428324222565, 0.01719478704035282, -0.003761888947337866, -0.029693955555558205, -0.07209979742765427, -0.07617408037185669, -0.015665248036384583, -0.05074053630232811, -0.014531263150274754, 0.037880610674619675, -0.03717191889882088, 0.03762653470039368, 0.01013399101793766, -0.01975318416953087, 0.055781289935112, -0.002787563018500805, -0.01331796869635582, 0.014051420614123344, 0.06307213753461838, -0.010191327892243862, -0.026462897658348083, 0.055166132748126984, 0.021192768588662148, 0.005450539756566286, -0.05093172565102577, -0.08638716489076614, -0.04688894748687744, -0.06602157652378082, -0.02098999172449112, -0.05485375225543976, -0.09181198477745056, 0.0646703913807869, -0.09620583802461624, 0.057000916451215744, -0.005243263673037291, -0.06224021688103676, -0.10470256954431534, -0.04626449570059776, 0.007086786441504955, -0.028801072388887405, 0.06269752234220505, -0.04937746748328209, -0.03649740666151047, -0.028516437858343124, 0.0029126424342393875, -0.006756170652806759, 0.04365053400397301, 0.011484418995678425, -0.038784414529800415, -0.03638110309839249, 0.04250152409076691, 0.058328866958618164, -0.10351641476154327, -0.04707901179790497, -0.02231566421687603, 0.031642332673072815, 0.05676291510462761, -0.012302348390221596, 0.012791295535862446, -0.042674772441387177, 0.019974710419774055, 0.0036886835005134344, 0.10279031097888947, -0.027785982936620712, -0.09144970774650574, -0.0030760420486330986, -0.06425893306732178, -0.005251993890851736, 0.0122636454179883, 0.029110798612236977, 0.006012545432895422, -0.006198125425726175, -0.003008004743605852, 0.04660748317837715, 0.0037984903901815414, -0.020260659977793694, 0.08009369671344757, 0.0044006407260894775, -0.02702202834188938, 0.01943129114806652, -0.026218213140964508, -0.04631425440311432, -0.00005214477641857229, 0.07570118457078934, -0.07186678051948547, -0.007741814479231834, -0.0006256876513361931, -2.0942647761868184e-33, -0.03938141092658043, 0.11578290909528732, 0.06711634993553162, 0.0630125105381012, -0.06190734729170799, -0.09244543313980103, 0.01809443160891533, 0.0995284840464592, 0.034126538783311844, -0.028701772913336754, -0.06936913728713989, -0.02330023981630802, -0.011036140844225883, 0.07047095894813538, 0.02415531314909458, 0.030292710289359093, 0.12740330398082733, 0.030823038890957832, 0.031470101326704025, -0.032507576048374176, -0.05908928066492081, 0.0076262373477220535, -0.0080634243786335, 0.012928329408168793, -0.029580656439065933, 0.004155563190579414, -0.07480644434690475, 0.0917864665389061, -0.050042010843753815, -0.045976679772138596, -0.028910735622048378, -0.02092529833316803, -0.05668514221906662, -0.005329445004463196, -0.07199377566576004, 0.06277412921190262, 0.06585589051246643, 0.07057204842567444, -0.012631766498088837, 0.05564869940280914, 0.0728154182434082, 0.07629954069852829, 0.04601934924721718, -0.08869152516126633, -0.006601506378501654, -0.008990957401692867, 0.054391928017139435, 0.1214519664645195, 0.04030812904238701, -0.06428350508213043, 0.014564404264092445, -0.0029208348132669926, 0.004784945398569107, 0.08372422307729721, -0.005514371208846569, -0.016219409182667732, 0.00857912003993988, -0.04069026559591293, 0.038910992443561554, -0.037914060056209564, -0.040592871606349945, -0.035416241735219955, -0.025702493265271187, -0.013996005058288574, -0.022460704669356346, 0.048805121332407, 0.06811617314815521, -0.0213262140750885, -0.05322819948196411, 0.08333660662174225, -0.028084849938750267, -0.06950008869171143, 0.017841730266809464, 0.015841858461499214, -0.010394728742539883, 0.04152682051062584, 0.009416971355676651, 0.03111162781715393, 0.04472858086228371, -0.043609313666820526, 0.039485350251197815, 0.012398791499435902, -0.057577118277549744, -0.08656448870897293, 0.11969836056232452, 0.0009256326011382043, 0.04847995191812515, -0.08396897464990616, 0.11052146553993225, 0.011832240968942642, -0.020313464105129242, 0.018900716677308083, 0.006295779254287481, -0.026612944900989532, -0.013908077962696552, -5.0914035654159306e-8, -0.0688505470752716, -0.09205228090286255, -0.03686269000172615, -0.07084748893976212, 0.10242535173892975, 0.10202021896839142, -0.02020162157714367, -0.024908117949962616, 0.06025967374444008, -0.11577395349740982, 0.10525701195001602, -0.021305864676833153, -0.028720369562506676, 0.06963241100311279, -0.06444688141345978, 0.061039455235004425, -0.007627103012055159, 0.07468976825475693, -0.008746758103370667, -0.02392798662185669, -0.0014808459673076868, 0.045722249895334244, 0.06977856904268265, -0.06655287742614746, 0.0439104400575161, 0.01521158404648304, -0.006455364637076855, 0.01860143430531025, 0.0012362826382741332, -0.03429121896624565, -0.07868131250143051, -0.03292282670736313, -0.026816751807928085, -0.015181348659098148, -0.05625694990158081, 0.022727278992533684, 0.015561295673251152, 0.0002013673074543476, -0.009550501592457294, 0.010122896172106266, 0.03790928050875664, -0.04762972891330719, -0.028411928564310074, 0.0062179421074688435, 0.052565474063158035, 0.025284336879849434, -0.041238415986299515, -0.017813680693507195, -0.04582982137799263, -0.07433430850505829, 0.016407521441578865, -0.07751288264989853, 0.09831437468528748, -0.037863943725824356, 0.0021715115290135145, 0.0049335467629134655, 0.06781511753797531, -0.08758345991373062, 0.042862556874752045, -0.01867666095495224, 0.030183255672454834, -0.08527875691652298, -0.07770632207393646, 0.022935962304472923 ]
1402.0453
Qi Qian
Qi Qian, Rong Jin, Shenghuo Zhu and Yuanqing Lin
Fine-Grained Visual Categorization via Multi-stage Metric Learning
in CVPR 2015
null
null
null
cs.CV cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Fine-grained visual categorization (FGVC) is to categorize objects into subordinate classes instead of basic classes. One major challenge in FGVC is the co-occurrence of two issues: 1) many subordinate classes are highly correlated and are difficult to distinguish, and 2) there exists the large intra-class variation (e.g., due to object pose). This paper proposes to explicitly address the above two issues via distance metric learning (DML). DML addresses the first issue by learning an embedding so that data points from the same class will be pulled together while those from different classes should be pushed apart from each other; and it addresses the second issue by allowing the flexibility that only a portion of the neighbors (not all data points) from the same class need to be pulled together. However, feature representation of an image is often high dimensional, and DML is known to have difficulty in dealing with high dimensional feature vectors since it would require $\mathcal{O}(d^2)$ for storage and $\mathcal{O}(d^3)$ for optimization. To this end, we proposed a multi-stage metric learning framework that divides the large-scale high dimensional learning problem to a series of simple subproblems, achieving $\mathcal{O}(d)$ computational complexity. The empirical study with FVGC benchmark datasets verifies that our method is both effective and efficient compared to the state-of-the-art FGVC approaches.
[ { "created": "Mon, 3 Feb 2014 18:20:53 GMT", "version": "v1" }, { "created": "Thu, 4 Jun 2015 17:28:51 GMT", "version": "v2" } ]
2015-06-05
[ [ "Qian", "Qi", "" ], [ "Jin", "Rong", "" ], [ "Zhu", "Shenghuo", "" ], [ "Lin", "Yuanqing", "" ] ]
[ 0.021167581900954247, -0.07049030065536499, 0.026118338108062744, -0.07744570821523666, 0.09868379682302475, 0.035188619047403336, -0.059301432222127914, -0.036203209310770035, 0.017250413075089455, -0.02027219347655773, -0.02283504791557789, -0.0023088455200195312, 0.010377155616879463, 0.09660887718200684, -0.028135502710938454, -0.01588977873325348, 0.11958431452512741, 0.09414458274841309, -0.12927496433258057, 0.028225703164935112, 0.023069553077220917, -0.01640537939965725, 0.06420370936393738, 0.013501369394361973, 0.016625193879008293, 0.031306829303503036, 0.12259130924940109, 0.019189665094017982, -0.04139584302902222, -0.03661632165312767, -0.009022733196616173, 0.01310956571251154, -0.09969335049390793, -0.0035871905274689198, -0.03758347034454346, 0.1720026135444641, -0.0023703756742179394, 0.05306284502148628, -0.08322460949420929, -0.06913533061742783, -0.04107668995857239, 0.04539196193218231, 0.038786351680755615, 0.04692382737994194, 0.022184809669852257, 0.06899958848953247, -0.020673729479312897, -0.032746393233537674, 0.013233641162514687, -0.02034755051136017, -0.05704393982887268, 0.008687298744916916, -0.11949987709522247, 0.04514800384640694, -0.001870717853307724, 0.020464327186346054, 0.06699982285499573, -0.04468855634331703, -0.02723821811378002, 0.011128880083560944, -0.007412579841911793, -0.04999813064932823, 0.04552192986011505, 0.012238608673214912, -0.01942642219364643, -0.08386482298374176, 0.05116727948188782, 0.000680364784784615, -0.006144867278635502, 0.03135254234075546, -0.02292780578136444, 0.03560434281826019, -0.05225839093327522, 0.08456411957740784, 0.029175572097301483, 0.030391806736588478, 0.050187285989522934, -0.027009516954421997, 0.09953410923480988, -0.11426638066768646, 0.017432473599910736, 0.09561292827129364, 0.06089374050498009, 0.008361159823834896, 0.1294550895690918, -0.018198208883404732, -0.035954784601926804, 0.012426294386386871, -0.027097508311271667, -0.0340183787047863, 0.0021199658513069153, 0.0005557747790589929, 0.0181426964700222, -0.07612669467926025, -0.006387523375451565, -0.0874779149889946, 0.027075784280896187, -0.035579096525907516, -0.01417535264045, 0.05951453745365143, -0.023152848705649376, 0.061346635222435, -0.030224710702896118, -0.038662105798721313, 0.05965891107916832, -0.010573803447186947, -0.007731890771538019, 0.0061788614839315414, 0.04783358424901962, -0.13337747752666473, 0.03319079801440239, -0.023119725286960602, -0.11681874096393585, 0.02994489297270775, -0.029402485117316246, -0.028524573892354965, 0.027907153591513634, -0.027804143726825714, 0.027394846081733704, 0.028480244800448418, -0.0389840342104435, -0.06436607986688614, -0.029325025156140327, -0.0070632691495120525, 0.02895878627896309, -0.047319673001766205, -0.069235660135746, 2.8502948045067192e-33, 0.05489262938499451, -0.020187124609947205, 0.032424334436655045, 0.03985533118247986, 0.037103600800037384, 0.010983862914144993, -0.027646522969007492, 0.07376165688037872, -0.03157242015004158, 0.06706533581018448, 0.009007558226585388, 0.009530916810035706, 0.02111928164958954, 0.12441424280405045, 0.08000367134809494, -0.005493424832820892, -0.05855323746800423, -0.003684929572045803, -0.04248601198196411, -0.018846096470952034, -0.010578341782093048, -0.06410621106624603, 0.04055546969175339, -0.02075909823179245, -0.03860645368695259, -0.006624599453061819, 0.027031060308218002, -0.0009305519051849842, -0.016370011493563652, -0.0014448026195168495, -0.041587311774492264, -0.03896765410900116, 0.02693268284201622, 0.035860564559698105, -0.003837256459519267, -0.061363425105810165, -0.04718475788831711, -0.011695261113345623, 0.05345601588487625, -0.03660160303115845, 0.04254394769668579, -0.020916713401675224, -0.05901676416397095, -0.08036229014396667, -0.04894779250025749, 0.06918708980083466, 0.0606730580329895, -0.01717331074178219, -0.07324287295341492, -0.03322690725326538, 0.12529705464839935, -0.028305470943450928, 0.004510469269007444, -0.07674349844455719, -0.0483102984726429, -0.02998729608952999, -0.007490276824682951, -0.061236120760440826, -0.018705543130636215, 0.03013801947236061, -0.07396548241376877, 0.04654352366924286, 0.0478140264749527, 0.03684814274311066, 0.0048919259570539, -0.07265102863311768, 0.05841747298836708, 0.03709791228175163, 0.03904632106423378, 0.052346546202898026, 0.02476448193192482, 0.039985913783311844, -0.035161104053258896, -0.12015397101640701, 0.048967186361551285, 0.006482893601059914, 0.06741490960121155, -0.02587941661477089, 0.0000548198186152149, 0.05963440611958504, -0.049262430518865585, -0.047613631933927536, 0.024072516709566116, -0.036190517246723175, -0.1190057322382927, 0.013744782656431198, 0.08092891424894333, -0.07351704686880112, -0.01899326965212822, 0.051153600215911865, -0.0824257880449295, 0.004355189390480518, -0.0626036524772644, -0.014824050478637218, 0.05091102421283722, -3.7556456761596675e-33, 0.008830628357827663, 0.04706219956278801, 0.012627316638827324, -0.02654626965522766, -0.001071359496563673, 0.0013434997526928782, -0.012664002366364002, 0.019126005470752716, -0.06717202812433243, -0.023144377395510674, -0.037439391016960144, -0.04532036557793617, -0.008081614039838314, -0.03958525508642197, -0.04588118568062782, 0.05800345167517662, -0.045101992785930634, 0.006341797299683094, -0.041211649775505066, 0.03650527819991112, 0.082122303545475, 0.04532293602824211, -0.03417741507291794, 0.057510796934366226, -0.05649440735578537, 0.04661094769835472, 0.0015733052277937531, 0.022042158991098404, -0.031701698899269104, -0.011370007880032063, 0.05537848919630051, -0.048606835305690765, -0.017807267606258392, -0.03523486107587814, -0.05455945059657097, -0.008093652315437794, 0.019668137654662132, -0.024973463267087936, -0.06314679980278015, 0.13299478590488434, -0.006492575164884329, -0.04330819845199585, -0.09448722004890442, -0.02864835597574711, 0.005457574501633644, -0.08053853362798691, 0.03036358393728733, -0.00006962078623473644, -0.007734291721135378, 0.07400738447904587, -0.06166280806064606, -0.0041636694222688675, -0.05343274399638176, 0.018103737384080887, -0.023930082097649574, 0.002424405887722969, -0.017185550183057785, 0.017301930114626884, 0.07840500771999359, 0.060446158051490784, 0.011162903159856796, -0.038798023015260696, -0.017627939581871033, 0.06443879753351212, 0.023668136447668076, -0.052439045161008835, 0.016933917999267578, -0.012845795601606369, -0.027916543185710907, 0.07215755432844162, 0.026677792891860008, -0.0069422232918441296, -0.06044772267341614, -0.06127842143177986, -0.0602806955575943, -0.007277367636561394, 0.05340040102601051, 0.01982531137764454, 0.056874822825193405, 0.001419645268470049, 0.04368843883275986, -0.04526423662900925, 0.03421184793114662, 0.15097075700759888, 0.03229764103889465, 0.06224047765135765, 0.07523762434720993, 0.060812149196863174, 0.10768052935600281, -0.004649393260478973, -0.04161037132143974, 0.02483297884464264, -0.009609770961105824, 0.006260317284613848, 0.05974552407860756, -5.2040363129890466e-8, -0.12428854405879974, 0.04328243061900139, 0.008075344376266003, -0.035919707268476486, -0.0086459806188941, 0.03143320977687836, 0.0012386423768475652, 0.1511743664741516, -0.0361199788749218, 0.0954785868525505, 0.020619571208953857, -0.001677132910117507, -0.026638200506567955, 0.03052322193980217, -0.02395746484398842, 0.024646515026688576, -0.038428641855716705, -0.0017387758707627654, 0.011645196937024593, 0.1326231211423874, -0.007353461813181639, 0.008161697536706924, 0.05313786864280701, -0.0044778077863156796, -0.05028877034783363, -0.10990733653306961, -0.012616042979061604, 0.09515610337257385, 0.08052358776330948, -0.058757130056619644, -0.07889155298471451, 0.0618399977684021, 0.006111218128353357, -0.04156564176082611, 0.03314172476530075, 0.01812688075006008, -0.030086012557148933, 0.011531604453921318, -0.07708588242530823, -0.009168566204607487, 0.0050156679935753345, -0.023280540481209755, -0.004775273147970438, 0.030744437128305435, 0.02682569995522499, 0.048745427280664444, 0.058286912739276886, -0.03385639190673828, -0.03612309694290161, 0.05085945129394531, -0.02445409446954727, 0.001531975227408111, -0.05671873316168785, 0.030634470283985138, 0.010814733803272247, -0.05066618323326111, -0.046734366565942764, -0.060741204768419266, 0.07924443483352661, 0.019315017387270927, 0.013994282111525536, -0.015187924727797508, -0.07401146739721298, -0.01781349442899227 ]
null
null
null
null
null
null
null
[ 0.021167581900954247, -0.07049030065536499, 0.026118338108062744, -0.07744570821523666, 0.09868379682302475, 0.035188619047403336, -0.059301432222127914, -0.036203209310770035, 0.017250413075089455, -0.02027219347655773, -0.02283504791557789, -0.0023088455200195312, 0.010377155616879463, 0.09660887718200684, -0.028135502710938454, -0.01588977873325348, 0.11958431452512741, 0.09414458274841309, -0.12927496433258057, 0.028225703164935112, 0.023069553077220917, -0.01640537939965725, 0.06420370936393738, 0.013501369394361973, 0.016625193879008293, 0.031306829303503036, 0.12259130924940109, 0.019189665094017982, -0.04139584302902222, -0.03661632165312767, -0.009022733196616173, 0.01310956571251154, -0.09969335049390793, -0.0035871905274689198, -0.03758347034454346, 0.1720026135444641, -0.0023703756742179394, 0.05306284502148628, -0.08322460949420929, -0.06913533061742783, -0.04107668995857239, 0.04539196193218231, 0.038786351680755615, 0.04692382737994194, 0.022184809669852257, 0.06899958848953247, -0.020673729479312897, -0.032746393233537674, 0.013233641162514687, -0.02034755051136017, -0.05704393982887268, 0.008687298744916916, -0.11949987709522247, 0.04514800384640694, -0.001870717853307724, 0.020464327186346054, 0.06699982285499573, -0.04468855634331703, -0.02723821811378002, 0.011128880083560944, -0.007412579841911793, -0.04999813064932823, 0.04552192986011505, 0.012238608673214912, -0.01942642219364643, -0.08386482298374176, 0.05116727948188782, 0.000680364784784615, -0.006144867278635502, 0.03135254234075546, -0.02292780578136444, 0.03560434281826019, -0.05225839093327522, 0.08456411957740784, 0.029175572097301483, 0.030391806736588478, 0.050187285989522934, -0.027009516954421997, 0.09953410923480988, -0.11426638066768646, 0.017432473599910736, 0.09561292827129364, 0.06089374050498009, 0.008361159823834896, 0.1294550895690918, -0.018198208883404732, -0.035954784601926804, 0.012426294386386871, -0.027097508311271667, -0.0340183787047863, 0.0021199658513069153, 0.0005557747790589929, 0.0181426964700222, -0.07612669467926025, -0.006387523375451565, -0.0874779149889946, 0.027075784280896187, -0.035579096525907516, -0.01417535264045, 0.05951453745365143, -0.023152848705649376, 0.061346635222435, -0.030224710702896118, -0.038662105798721313, 0.05965891107916832, -0.010573803447186947, -0.007731890771538019, 0.0061788614839315414, 0.04783358424901962, -0.13337747752666473, 0.03319079801440239, -0.023119725286960602, -0.11681874096393585, 0.02994489297270775, -0.029402485117316246, -0.028524573892354965, 0.027907153591513634, -0.027804143726825714, 0.027394846081733704, 0.028480244800448418, -0.0389840342104435, -0.06436607986688614, -0.029325025156140327, -0.0070632691495120525, 0.02895878627896309, -0.047319673001766205, -0.069235660135746, 2.8502948045067192e-33, 0.05489262938499451, -0.020187124609947205, 0.032424334436655045, 0.03985533118247986, 0.037103600800037384, 0.010983862914144993, -0.027646522969007492, 0.07376165688037872, -0.03157242015004158, 0.06706533581018448, 0.009007558226585388, 0.009530916810035706, 0.02111928164958954, 0.12441424280405045, 0.08000367134809494, -0.005493424832820892, -0.05855323746800423, -0.003684929572045803, -0.04248601198196411, -0.018846096470952034, -0.010578341782093048, -0.06410621106624603, 0.04055546969175339, -0.02075909823179245, -0.03860645368695259, -0.006624599453061819, 0.027031060308218002, -0.0009305519051849842, -0.016370011493563652, -0.0014448026195168495, -0.041587311774492264, -0.03896765410900116, 0.02693268284201622, 0.035860564559698105, -0.003837256459519267, -0.061363425105810165, -0.04718475788831711, -0.011695261113345623, 0.05345601588487625, -0.03660160303115845, 0.04254394769668579, -0.020916713401675224, -0.05901676416397095, -0.08036229014396667, -0.04894779250025749, 0.06918708980083466, 0.0606730580329895, -0.01717331074178219, -0.07324287295341492, -0.03322690725326538, 0.12529705464839935, -0.028305470943450928, 0.004510469269007444, -0.07674349844455719, -0.0483102984726429, -0.02998729608952999, -0.007490276824682951, -0.061236120760440826, -0.018705543130636215, 0.03013801947236061, -0.07396548241376877, 0.04654352366924286, 0.0478140264749527, 0.03684814274311066, 0.0048919259570539, -0.07265102863311768, 0.05841747298836708, 0.03709791228175163, 0.03904632106423378, 0.052346546202898026, 0.02476448193192482, 0.039985913783311844, -0.035161104053258896, -0.12015397101640701, 0.048967186361551285, 0.006482893601059914, 0.06741490960121155, -0.02587941661477089, 0.0000548198186152149, 0.05963440611958504, -0.049262430518865585, -0.047613631933927536, 0.024072516709566116, -0.036190517246723175, -0.1190057322382927, 0.013744782656431198, 0.08092891424894333, -0.07351704686880112, -0.01899326965212822, 0.051153600215911865, -0.0824257880449295, 0.004355189390480518, -0.0626036524772644, -0.014824050478637218, 0.05091102421283722, -3.7556456761596675e-33, 0.008830628357827663, 0.04706219956278801, 0.012627316638827324, -0.02654626965522766, -0.001071359496563673, 0.0013434997526928782, -0.012664002366364002, 0.019126005470752716, -0.06717202812433243, -0.023144377395510674, -0.037439391016960144, -0.04532036557793617, -0.008081614039838314, -0.03958525508642197, -0.04588118568062782, 0.05800345167517662, -0.045101992785930634, 0.006341797299683094, -0.041211649775505066, 0.03650527819991112, 0.082122303545475, 0.04532293602824211, -0.03417741507291794, 0.057510796934366226, -0.05649440735578537, 0.04661094769835472, 0.0015733052277937531, 0.022042158991098404, -0.031701698899269104, -0.011370007880032063, 0.05537848919630051, -0.048606835305690765, -0.017807267606258392, -0.03523486107587814, -0.05455945059657097, -0.008093652315437794, 0.019668137654662132, -0.024973463267087936, -0.06314679980278015, 0.13299478590488434, -0.006492575164884329, -0.04330819845199585, -0.09448722004890442, -0.02864835597574711, 0.005457574501633644, -0.08053853362798691, 0.03036358393728733, -0.00006962078623473644, -0.007734291721135378, 0.07400738447904587, -0.06166280806064606, -0.0041636694222688675, -0.05343274399638176, 0.018103737384080887, -0.023930082097649574, 0.002424405887722969, -0.017185550183057785, 0.017301930114626884, 0.07840500771999359, 0.060446158051490784, 0.011162903159856796, -0.038798023015260696, -0.017627939581871033, 0.06443879753351212, 0.023668136447668076, -0.052439045161008835, 0.016933917999267578, -0.012845795601606369, -0.027916543185710907, 0.07215755432844162, 0.026677792891860008, -0.0069422232918441296, -0.06044772267341614, -0.06127842143177986, -0.0602806955575943, -0.007277367636561394, 0.05340040102601051, 0.01982531137764454, 0.056874822825193405, 0.001419645268470049, 0.04368843883275986, -0.04526423662900925, 0.03421184793114662, 0.15097075700759888, 0.03229764103889465, 0.06224047765135765, 0.07523762434720993, 0.060812149196863174, 0.10768052935600281, -0.004649393260478973, -0.04161037132143974, 0.02483297884464264, -0.009609770961105824, 0.006260317284613848, 0.05974552407860756, -5.2040363129890466e-8, -0.12428854405879974, 0.04328243061900139, 0.008075344376266003, -0.035919707268476486, -0.0086459806188941, 0.03143320977687836, 0.0012386423768475652, 0.1511743664741516, -0.0361199788749218, 0.0954785868525505, 0.020619571208953857, -0.001677132910117507, -0.026638200506567955, 0.03052322193980217, -0.02395746484398842, 0.024646515026688576, -0.038428641855716705, -0.0017387758707627654, 0.011645196937024593, 0.1326231211423874, -0.007353461813181639, 0.008161697536706924, 0.05313786864280701, -0.0044778077863156796, -0.05028877034783363, -0.10990733653306961, -0.012616042979061604, 0.09515610337257385, 0.08052358776330948, -0.058757130056619644, -0.07889155298471451, 0.0618399977684021, 0.006111218128353357, -0.04156564176082611, 0.03314172476530075, 0.01812688075006008, -0.030086012557148933, 0.011531604453921318, -0.07708588242530823, -0.009168566204607487, 0.0050156679935753345, -0.023280540481209755, -0.004775273147970438, 0.030744437128305435, 0.02682569995522499, 0.048745427280664444, 0.058286912739276886, -0.03385639190673828, -0.03612309694290161, 0.05085945129394531, -0.02445409446954727, 0.001531975227408111, -0.05671873316168785, 0.030634470283985138, 0.010814733803272247, -0.05066618323326111, -0.046734366565942764, -0.060741204768419266, 0.07924443483352661, 0.019315017387270927, 0.013994282111525536, -0.015187924727797508, -0.07401146739721298, -0.01781349442899227 ]
1402.0454
Alain Simonian
F. B\'en\'ezit, S. Elayoubi, R-M. Indre, A. Simonian
Modelling Load Balancing and Carrier Aggregation in Mobile Networks
8 pages, 6 figures, submitted to WiOpt2014
null
null
null
cs.NI cs.PF
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, we study the performance of multicarrier mobile networks. Specifically, we analyze the flow-level performance of two inter-carrier load balancing schemes and the gain engendered by Carrier Aggregation (CA). CA is one of the most important features of HSPA+ and LTE-A networks; it allows devices to be served simultaneously by several carriers. We propose two load balancing schemes, namely Join the Fastest Queue (JFQ) and Volume Balancing (VB), that allow the traffic of CA and non-CA users to be distributed over the aggregated carriers. We then evaluate the performance of these schemes by means of analytical modeling. We show that the proposed schemes achieve quasi-ideal load balancing. We also investigate the impact of mixing traffic of CA and non-CA users in the same cell and show that performance is practically insensitive to the traffic mix.
[ { "created": "Mon, 3 Feb 2014 18:21:11 GMT", "version": "v1" } ]
2014-02-04
[ [ "Bénézit", "F.", "" ], [ "Elayoubi", "S.", "" ], [ "Indre", "R-M.", "" ], [ "Simonian", "A.", "" ] ]
[ 0.0007246381137520075, 0.02010972611606121, -0.007450577337294817, -0.00371757335960865, -0.12429600954055786, -0.0026887855492532253, 0.01374282781034708, 0.06896254420280457, 0.07562695443630219, 0.012206417508423328, -0.08122667670249939, 0.030565796419978142, 0.09639592468738556, -0.010705158114433289, 0.028611134737730026, -0.005340371746569872, 0.07033602893352509, 0.019111238420009613, -0.04475574195384979, -0.011811821721494198, 0.04123508557677269, -0.08921971917152405, -0.045149777084589005, -0.016958413645625114, 0.07257948815822601, -0.06297672539949417, -0.09270326793193817, 0.0031270345207303762, 0.017231695353984833, -0.021509865298867226, -0.056488361209630966, 0.05561742186546326, 0.00775930704548955, 0.03097253479063511, -0.11697027087211609, -0.11214438825845718, -0.06336869299411774, -0.012008878402411938, 0.057032011449337006, 0.01855524815618992, -0.04437711462378502, 0.044462718069553375, 0.0046347626484930515, 0.11630672961473465, -0.03375554457306862, -0.05522102117538452, -0.07643696665763855, 0.03991985693573952, 0.02435331977903843, -0.043293118476867676, 0.1373167783021927, -0.025280402973294258, -0.029866734519600868, 0.08470914512872696, -0.0711868405342102, 0.0035772500559687614, -0.04086820408701897, 0.061892908066511154, 0.07627614587545395, 0.012059226632118225, -0.04491632059216499, 0.05607207491993904, 0.06916801631450653, 0.0613972432911396, -0.0356002151966095, -0.047630272805690765, -0.004105064552277327, 0.12348891794681549, -0.06149575114250183, 0.06485229730606079, -0.0056873345747590065, 0.048603083938360214, 0.024678224697709084, 0.03375577554106712, 0.0775846540927887, 0.02645903266966343, -0.011365840211510658, 0.04445972293615341, -0.02862497605383396, 0.0275355726480484, -0.025613877922296524, 0.042598944157361984, 0.03377694636583328, -0.07368573546409607, 0.024962667375802994, -0.07134634256362915, -0.09735146909952164, -0.0407712459564209, -0.07314279675483704, -0.07345530390739441, -0.018606560304760933, 0.19426797330379486, 0.007435608189553022, 0.05573146790266037, -0.017807213589549065, 0.07813143730163574, -0.04985513538122177, -0.025754006579518318, -0.02901686541736126, 0.039798736572265625, 0.023105738684535027, 0.040914345532655716, 0.061318233609199524, 0.007146970834583044, 0.03622498735785484, 0.009017447009682655, -0.03989030420780182, -0.018109535798430443, 0.016438592225313187, -0.004707725718617439, 0.003430311568081379, 0.031120888888835907, 0.03185243159532547, -0.055319998413324356, -0.11008521169424057, 0.14358477294445038, 0.035498619079589844, 0.03711763769388199, 0.007920811884105206, -0.0655732974410057, -0.07262025028467178, -0.08752454817295074, -0.013097927905619144, -0.05750714987516403, 0.05520593002438545, -0.010514802299439907, -0.007236767560243607, 2.9695104109957424e-34, -0.08371083438396454, -0.07352268695831299, -0.017741138115525246, 0.0042464532889425755, -0.043213870376348495, -0.02306419610977173, 0.008644722402095795, -0.06063012406229973, -0.017940344288945198, -0.035220272839069366, -0.04511595517396927, 0.03634670749306679, -0.03958360105752945, -0.00902792252600193, 0.023214126005768776, -0.030082814395427704, -0.059036046266555786, -0.040037356317043304, 0.08794578164815903, -0.04852741211652756, -0.03556079417467117, -0.11859684437513351, -0.014353711158037186, 0.011920511722564697, 0.06275608390569687, 0.018509548157453537, -0.01646219752728939, -0.08106757700443268, 0.04349992796778679, 0.029118677601218224, -0.020989280194044113, 0.00035435782046988606, 0.04227932170033455, 0.011967753060162067, -0.04045306518673897, 0.011171266436576843, 0.001183849759399891, -0.03146133944392204, 0.004416469018906355, -0.02131829969584942, -0.030677028000354767, -0.05282004922628403, -0.03395235911011696, -0.10337122529745102, -0.12356950342655182, -0.03189776465296745, -0.04350676015019417, 0.004257664550095797, -0.05011763796210289, 0.025257624685764313, -0.025654377415776253, -0.0036417748779058456, -0.002429045969620347, -0.011895237490534782, 0.018940690904855728, 0.0535898394882679, 0.0245961993932724, 0.035693250596523285, -0.03205445036292076, 0.11371113359928131, -0.05661209672689438, -0.04147450998425484, -0.06009230390191078, 0.06034363806247711, 0.020060570910573006, 0.039909977465867996, -0.09550142288208008, -0.0016731333453208208, 0.04759110510349274, 0.06533048301935196, 0.011897420510649681, -0.029800351709127426, 0.04170001670718193, -0.002608995186164975, 0.015723928809165955, -0.02298000454902649, 0.007341358810663223, 0.04332660138607025, -0.022353285923600197, 0.059897907078266144, 0.010874532163143158, 0.012835507281124592, 0.0007060940843075514, -0.045195452868938446, 0.056064408272504807, 0.007984564639627934, -0.013536723330616951, -0.0441167913377285, -0.059063106775283813, 0.1428343951702118, -0.09318795800209045, 0.034895043820142746, 0.05214541777968407, -0.003026161575689912, 0.040291573852300644, -1.6643646352430222e-33, -0.001001792843453586, 0.071343794465065, -0.04261051490902901, 0.01895412802696228, 0.06774730235338211, -0.0065232738852500916, 0.03662014380097389, -0.05467638000845909, 0.0254819393157959, -0.03530696779489517, -0.0632651075720787, 0.04221850633621216, -0.017403045669198036, -0.003998935222625732, 0.05803903937339783, -0.0882534384727478, 0.03307943791151047, -0.01601681113243103, -0.03208291158080101, 0.01354721374809742, -0.029866036027669907, -0.060276374220848083, -0.05892577022314072, 0.09675746411085129, 0.0690048411488533, -0.042784374207258224, -0.06457319855690002, -0.006136097479611635, -0.022709297016263008, 0.040939100086688995, -0.02015490084886551, -0.08391190320253372, 0.06713325530290604, -0.09033261984586716, -0.0070741246454417706, 0.02341955527663231, 0.056022606790065765, 0.11185771226882935, 0.03323393687605858, 0.02229645475745201, 0.0063227578066289425, -0.11900857836008072, 0.038509756326675415, -0.04051568731665611, 0.008750426582992077, 0.04919818416237831, 0.014412359334528446, 0.011432677507400513, -0.047576259821653366, -0.011634277179837227, 0.02630465477705002, -0.011546456255018711, -0.038999877870082855, 0.07403315603733063, 0.0077165765687823296, -0.017415866255760193, 0.0728316605091095, -0.008560996502637863, 0.024098047986626625, 0.03273246809840202, 0.0899692103266716, -0.028004232794046402, -0.08797263354063034, -0.046035703271627426, -0.045341793447732925, -0.05451342090964317, 0.012652849778532982, -0.04752323031425476, 0.0021996970754116774, 0.0363629087805748, -0.059135135263204575, 0.015310592949390411, 0.05517629534006119, 0.06183850020170212, 0.011194711551070213, -0.013144039548933506, 0.02493879944086075, -0.00936941523104906, 0.03294192999601364, -0.012729372829198837, -0.05753350257873535, 0.0759807676076889, 0.05498736724257469, 0.007219953928142786, 0.012673022225499153, -0.01681126467883587, 0.03422664478421211, -0.012124430388212204, -0.003931800834834576, -0.009279558435082436, -0.007610265165567398, 0.040529463440179825, -0.011448334902524948, -0.0541902631521225, -0.04393797367811203, -4.727243307911522e-8, -0.0007714508683420718, -0.03343239054083824, 0.03955825790762901, -0.05331231281161308, -0.0518474206328392, -0.039327286183834076, 0.01219802163541317, 0.05343028903007507, 0.01137531641870737, 0.06012494117021561, 0.007041620090603828, 0.054328080266714096, 0.0004348650691099465, 0.013487555086612701, 0.04271039366722107, 0.03398355096578598, -0.028513338416814804, 0.02615552954375744, -0.030621692538261414, -0.008007925935089588, -0.05976507067680359, 0.06094808503985405, -0.017823083326220512, -0.020774586126208305, 0.04313668981194496, 0.051647935062646866, 0.016890618950128555, -0.062004197388887405, 0.09568390995264053, -0.04172135517001152, -0.053278446197509766, 0.04065568000078201, -0.07530450820922852, -0.03896554559469223, 0.018163105472922325, 0.01379634253680706, 0.025109149515628815, 0.0015819350956007838, -0.00507107051089406, 0.06370362639427185, 0.095289446413517, 0.04471302777528763, 0.04921506717801094, 0.036219917237758636, 0.1415966898202896, 0.027309907600283623, -0.06234906613826752, 0.11650394648313522, -0.01637357287108898, -0.001981909852474928, 0.004384682048112154, -0.005388133693486452, -0.027112789452075958, -0.047595392912626266, -0.020550716668367386, -0.12452028691768646, 0.002836521016433835, 0.018430432304739952, 0.0997568890452385, -0.001520171295851469, 0.050080765038728714, -0.03145349398255348, 0.022871222347021103, 0.027617061510682106 ]
null
null
null
null
null
null
null
[ 0.0007246381137520075, 0.02010972611606121, -0.007450577337294817, -0.00371757335960865, -0.12429600954055786, -0.0026887855492532253, 0.01374282781034708, 0.06896254420280457, 0.07562695443630219, 0.012206417508423328, -0.08122667670249939, 0.030565796419978142, 0.09639592468738556, -0.010705158114433289, 0.028611134737730026, -0.005340371746569872, 0.07033602893352509, 0.019111238420009613, -0.04475574195384979, -0.011811821721494198, 0.04123508557677269, -0.08921971917152405, -0.045149777084589005, -0.016958413645625114, 0.07257948815822601, -0.06297672539949417, -0.09270326793193817, 0.0031270345207303762, 0.017231695353984833, -0.021509865298867226, -0.056488361209630966, 0.05561742186546326, 0.00775930704548955, 0.03097253479063511, -0.11697027087211609, -0.11214438825845718, -0.06336869299411774, -0.012008878402411938, 0.057032011449337006, 0.01855524815618992, -0.04437711462378502, 0.044462718069553375, 0.0046347626484930515, 0.11630672961473465, -0.03375554457306862, -0.05522102117538452, -0.07643696665763855, 0.03991985693573952, 0.02435331977903843, -0.043293118476867676, 0.1373167783021927, -0.025280402973294258, -0.029866734519600868, 0.08470914512872696, -0.0711868405342102, 0.0035772500559687614, -0.04086820408701897, 0.061892908066511154, 0.07627614587545395, 0.012059226632118225, -0.04491632059216499, 0.05607207491993904, 0.06916801631450653, 0.0613972432911396, -0.0356002151966095, -0.047630272805690765, -0.004105064552277327, 0.12348891794681549, -0.06149575114250183, 0.06485229730606079, -0.0056873345747590065, 0.048603083938360214, 0.024678224697709084, 0.03375577554106712, 0.0775846540927887, 0.02645903266966343, -0.011365840211510658, 0.04445972293615341, -0.02862497605383396, 0.0275355726480484, -0.025613877922296524, 0.042598944157361984, 0.03377694636583328, -0.07368573546409607, 0.024962667375802994, -0.07134634256362915, -0.09735146909952164, -0.0407712459564209, -0.07314279675483704, -0.07345530390739441, -0.018606560304760933, 0.19426797330379486, 0.007435608189553022, 0.05573146790266037, -0.017807213589549065, 0.07813143730163574, -0.04985513538122177, -0.025754006579518318, -0.02901686541736126, 0.039798736572265625, 0.023105738684535027, 0.040914345532655716, 0.061318233609199524, 0.007146970834583044, 0.03622498735785484, 0.009017447009682655, -0.03989030420780182, -0.018109535798430443, 0.016438592225313187, -0.004707725718617439, 0.003430311568081379, 0.031120888888835907, 0.03185243159532547, -0.055319998413324356, -0.11008521169424057, 0.14358477294445038, 0.035498619079589844, 0.03711763769388199, 0.007920811884105206, -0.0655732974410057, -0.07262025028467178, -0.08752454817295074, -0.013097927905619144, -0.05750714987516403, 0.05520593002438545, -0.010514802299439907, -0.007236767560243607, 2.9695104109957424e-34, -0.08371083438396454, -0.07352268695831299, -0.017741138115525246, 0.0042464532889425755, -0.043213870376348495, -0.02306419610977173, 0.008644722402095795, -0.06063012406229973, -0.017940344288945198, -0.035220272839069366, -0.04511595517396927, 0.03634670749306679, -0.03958360105752945, -0.00902792252600193, 0.023214126005768776, -0.030082814395427704, -0.059036046266555786, -0.040037356317043304, 0.08794578164815903, -0.04852741211652756, -0.03556079417467117, -0.11859684437513351, -0.014353711158037186, 0.011920511722564697, 0.06275608390569687, 0.018509548157453537, -0.01646219752728939, -0.08106757700443268, 0.04349992796778679, 0.029118677601218224, -0.020989280194044113, 0.00035435782046988606, 0.04227932170033455, 0.011967753060162067, -0.04045306518673897, 0.011171266436576843, 0.001183849759399891, -0.03146133944392204, 0.004416469018906355, -0.02131829969584942, -0.030677028000354767, -0.05282004922628403, -0.03395235911011696, -0.10337122529745102, -0.12356950342655182, -0.03189776465296745, -0.04350676015019417, 0.004257664550095797, -0.05011763796210289, 0.025257624685764313, -0.025654377415776253, -0.0036417748779058456, -0.002429045969620347, -0.011895237490534782, 0.018940690904855728, 0.0535898394882679, 0.0245961993932724, 0.035693250596523285, -0.03205445036292076, 0.11371113359928131, -0.05661209672689438, -0.04147450998425484, -0.06009230390191078, 0.06034363806247711, 0.020060570910573006, 0.039909977465867996, -0.09550142288208008, -0.0016731333453208208, 0.04759110510349274, 0.06533048301935196, 0.011897420510649681, -0.029800351709127426, 0.04170001670718193, -0.002608995186164975, 0.015723928809165955, -0.02298000454902649, 0.007341358810663223, 0.04332660138607025, -0.022353285923600197, 0.059897907078266144, 0.010874532163143158, 0.012835507281124592, 0.0007060940843075514, -0.045195452868938446, 0.056064408272504807, 0.007984564639627934, -0.013536723330616951, -0.0441167913377285, -0.059063106775283813, 0.1428343951702118, -0.09318795800209045, 0.034895043820142746, 0.05214541777968407, -0.003026161575689912, 0.040291573852300644, -1.6643646352430222e-33, -0.001001792843453586, 0.071343794465065, -0.04261051490902901, 0.01895412802696228, 0.06774730235338211, -0.0065232738852500916, 0.03662014380097389, -0.05467638000845909, 0.0254819393157959, -0.03530696779489517, -0.0632651075720787, 0.04221850633621216, -0.017403045669198036, -0.003998935222625732, 0.05803903937339783, -0.0882534384727478, 0.03307943791151047, -0.01601681113243103, -0.03208291158080101, 0.01354721374809742, -0.029866036027669907, -0.060276374220848083, -0.05892577022314072, 0.09675746411085129, 0.0690048411488533, -0.042784374207258224, -0.06457319855690002, -0.006136097479611635, -0.022709297016263008, 0.040939100086688995, -0.02015490084886551, -0.08391190320253372, 0.06713325530290604, -0.09033261984586716, -0.0070741246454417706, 0.02341955527663231, 0.056022606790065765, 0.11185771226882935, 0.03323393687605858, 0.02229645475745201, 0.0063227578066289425, -0.11900857836008072, 0.038509756326675415, -0.04051568731665611, 0.008750426582992077, 0.04919818416237831, 0.014412359334528446, 0.011432677507400513, -0.047576259821653366, -0.011634277179837227, 0.02630465477705002, -0.011546456255018711, -0.038999877870082855, 0.07403315603733063, 0.0077165765687823296, -0.017415866255760193, 0.0728316605091095, -0.008560996502637863, 0.024098047986626625, 0.03273246809840202, 0.0899692103266716, -0.028004232794046402, -0.08797263354063034, -0.046035703271627426, -0.045341793447732925, -0.05451342090964317, 0.012652849778532982, -0.04752323031425476, 0.0021996970754116774, 0.0363629087805748, -0.059135135263204575, 0.015310592949390411, 0.05517629534006119, 0.06183850020170212, 0.011194711551070213, -0.013144039548933506, 0.02493879944086075, -0.00936941523104906, 0.03294192999601364, -0.012729372829198837, -0.05753350257873535, 0.0759807676076889, 0.05498736724257469, 0.007219953928142786, 0.012673022225499153, -0.01681126467883587, 0.03422664478421211, -0.012124430388212204, -0.003931800834834576, -0.009279558435082436, -0.007610265165567398, 0.040529463440179825, -0.011448334902524948, -0.0541902631521225, -0.04393797367811203, -4.727243307911522e-8, -0.0007714508683420718, -0.03343239054083824, 0.03955825790762901, -0.05331231281161308, -0.0518474206328392, -0.039327286183834076, 0.01219802163541317, 0.05343028903007507, 0.01137531641870737, 0.06012494117021561, 0.007041620090603828, 0.054328080266714096, 0.0004348650691099465, 0.013487555086612701, 0.04271039366722107, 0.03398355096578598, -0.028513338416814804, 0.02615552954375744, -0.030621692538261414, -0.008007925935089588, -0.05976507067680359, 0.06094808503985405, -0.017823083326220512, -0.020774586126208305, 0.04313668981194496, 0.051647935062646866, 0.016890618950128555, -0.062004197388887405, 0.09568390995264053, -0.04172135517001152, -0.053278446197509766, 0.04065568000078201, -0.07530450820922852, -0.03896554559469223, 0.018163105472922325, 0.01379634253680706, 0.025109149515628815, 0.0015819350956007838, -0.00507107051089406, 0.06370362639427185, 0.095289446413517, 0.04471302777528763, 0.04921506717801094, 0.036219917237758636, 0.1415966898202896, 0.027309907600283623, -0.06234906613826752, 0.11650394648313522, -0.01637357287108898, -0.001981909852474928, 0.004384682048112154, -0.005388133693486452, -0.027112789452075958, -0.047595392912626266, -0.020550716668367386, -0.12452028691768646, 0.002836521016433835, 0.018430432304739952, 0.0997568890452385, -0.001520171295851469, 0.050080765038728714, -0.03145349398255348, 0.022871222347021103, 0.027617061510682106 ]
1402.0459
Haoyang (Hubert) Duan
Hubert Haoyang Duan
Applying Supervised Learning Algorithms and a New Feature Selection Method to Predict Coronary Artery Disease
This is a Master of Science in Mathematics thesis under the supervision of Dr. Vladimir Pestov and Dr. George Wells submitted on January 31, 2014 at the University of Ottawa; 102 pages and 15 figures
null
null
null
cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
From a fresh data science perspective, this thesis discusses the prediction of coronary artery disease based on genetic variations at the DNA base pair level, called Single-Nucleotide Polymorphisms (SNPs), collected from the Ontario Heart Genomics Study (OHGS). First, the thesis explains two commonly used supervised learning algorithms, the k-Nearest Neighbour (k-NN) and Random Forest classifiers, and includes a complete proof that the k-NN classifier is universally consistent in any finite dimensional normed vector space. Second, the thesis introduces two dimensionality reduction steps, Random Projections, a known feature extraction technique based on the Johnson-Lindenstrauss lemma, and a new method termed Mass Transportation Distance (MTD) Feature Selection for discrete domains. Then, this thesis compares the performance of Random Projections with the k-NN classifier against MTD Feature Selection and Random Forest, for predicting artery disease based on accuracy, the F-Measure, and area under the Receiver Operating Characteristic (ROC) curve. The comparative results demonstrate that MTD Feature Selection with Random Forest is vastly superior to Random Projections and k-NN. The Random Forest classifier is able to obtain an accuracy of 0.6660 and an area under the ROC curve of 0.8562 on the OHGS genetic dataset, when 3335 SNPs are selected by MTD Feature Selection for classification. This area is considerably better than the previous high score of 0.608 obtained by Davies et al. in 2010 on the same dataset.
[ { "created": "Mon, 3 Feb 2014 18:47:41 GMT", "version": "v1" } ]
2014-02-04
[ [ "Duan", "Hubert Haoyang", "" ] ]
[ -0.014152015559375286, -0.01253599114716053, 0.051827311515808105, 0.015560920350253582, 0.08404935151338577, 0.00009448675700696185, -0.0445065051317215, -0.009589546360075474, -0.0009267118875868618, -0.031121205538511276, -0.04717276990413666, 0.004360489081591368, -0.03970695286989212, 0.03539764881134033, -0.08074194937944412, -0.03812529146671295, 0.030920634046196938, -0.004028649069368839, 0.01892174407839775, 0.059103306382894516, 0.06461712718009949, 0.10243513435125351, -0.007969500496983528, 0.039108432829380035, 0.04090573638677597, -0.026759201660752296, 0.06635084748268127, 0.03313086926937103, -0.043656736612319946, 0.06093892455101013, 0.009214609861373901, -0.03931766375899315, -0.0051499647088348866, -0.09198233485221863, -0.0698070377111435, -0.006134727504104376, 0.017215188592672348, 0.06808248907327652, -0.1054292544722557, 0.039287447929382324, 0.0626116693019867, -0.07012279331684113, -0.010637733153998852, 0.003615315305069089, 0.10601607710123062, 0.08686503022909164, -0.11968713998794556, -0.014180948957800865, 0.00276077794842422, 0.04281838610768318, -0.03668024390935898, -0.042408306151628494, -0.07755713164806366, 0.015107084065675735, -0.021888719871640205, -0.08494547754526138, -0.04854385554790497, -0.06542305648326874, -0.019536351785063744, -0.0014314597938209772, 0.07495194673538208, -0.05989588052034378, -0.002666539279744029, 0.029828093945980072, 0.03372229263186455, -0.02664705365896225, 0.007727036718279123, 0.02149469405412674, 0.0039740996435284615, -0.08253312110900879, -0.005638716276735067, 0.0728905200958252, -0.0897151380777359, 0.12922902405261993, 0.011063182726502419, 0.05545821785926819, 0.02107122354209423, 0.0650077685713768, 0.05908961966633797, -0.03482829034328461, -0.04743490740656853, 0.07337737083435059, 0.01765080913901329, -0.04389433562755585, 0.03140764310956001, 0.0741305947303772, -0.03528965637087822, 0.06543214619159698, -0.07299050688743591, -0.018027298152446747, 0.10595513135194778, -0.026106039062142372, 0.028712358325719833, 0.001859647803939879, -0.11925072968006134, -0.006905452348291874, 0.008210050873458385, -0.03311619162559509, 0.01741514354944229, 0.04142972454428673, -0.02995165064930916, 0.021324079483747482, 0.021007074043154716, 0.009237813763320446, 0.03394141048192978, -0.0007507452974095941, -0.019404832273721695, -0.02543952688574791, 0.09068071842193604, -0.0414772629737854, 0.06061612069606781, 0.033449817448854446, -0.09279283881187439, 0.025004198774695396, 0.022154947742819786, -0.006673600524663925, -0.034925270825624466, 0.029660217463970184, -0.02677440084517002, 0.0919913575053215, -0.06828244030475616, -0.1019224151968956, -0.029374219477176666, -0.026430511847138405, 0.05817346274852753, 0.04459896311163902, -0.05367564409971237, 2.2575324926503876e-33, 0.035673439502716064, -0.020911583676934242, 0.04211442545056343, -0.0064007374458014965, 0.005080235190689564, -0.09884810447692871, -0.044488657265901566, 0.028131606057286263, 0.06461619585752487, 0.03896590694785118, -0.07745970785617828, -0.006214987952262163, 0.03418613597750664, 0.00008103292202576995, 0.03138939291238785, 0.06993292272090912, -0.004752808716148138, 0.01918036863207817, 0.00755489245057106, -0.026378868147730827, 0.06085406243801117, -0.03428042307496071, 0.015377720817923546, -0.030582912266254425, -0.03812344744801521, 0.014875290915369987, -0.08405666798353195, -0.04346081241965294, -0.006629720330238342, 0.017349006608128548, -0.09102052450180054, -0.025401951745152473, -0.0013834788696840405, -0.05026419088244438, 0.025773297995328903, -0.04448169097304344, -0.013824648223817348, -0.08938699215650558, 0.01916009932756424, 0.04056056961417198, -0.014298366382718086, -0.04529915004968643, -0.030588984489440918, -0.03521190956234932, 0.004167833365499973, 0.12273892760276794, 0.07835781574249268, -0.028851401060819626, -0.05983288586139679, 0.00046614851453341544, -0.008917732164263725, -0.009417593479156494, -0.006962112616747618, 0.011294232681393623, -0.04135298728942871, 0.04136146232485771, -0.03522995859384537, 0.009929348714649677, -0.016750382259488106, 0.05497647076845169, -0.03410380706191063, 0.019450653344392776, 0.03385401889681816, -0.007963372394442558, -0.031598836183547974, -0.07495627552270889, 0.010293373838067055, -0.020110374316573143, 0.012256297282874584, -0.0043689776211977005, 0.07306933403015137, 0.04926977679133415, -0.031459107995033264, -0.08100617676973343, 0.026715554296970367, 0.02782239392399788, 0.073875792324543, 0.03475094586610794, -0.06469893455505371, 0.02520945481956005, -0.08144310116767883, 0.12765268981456757, -0.02576286345720291, -0.11294181644916534, -0.00015113025438040495, -0.0027414741925895214, 0.04244072735309601, -0.07175975292921066, -0.03005068749189377, -0.022380845621228218, -0.02922726236283779, 0.10119595378637314, 0.0018232112051919103, 0.015963049605488777, 0.04020792245864868, -2.372559573995141e-33, -0.05359898507595062, -0.013517698273062706, 0.1038367971777916, -0.013534080237150192, 0.01253024023026228, 0.04460560530424118, -0.009365033358335495, 0.020987696945667267, 0.007704350631684065, -0.07376457750797272, 0.03245978057384491, 0.011232007294893265, 0.07772254943847656, -0.00857455562800169, 0.09193387627601624, 0.07183616608381271, -0.036486100405454636, -0.022499462589621544, -0.05181673541665077, 0.07501646131277084, -0.0014955466613173485, 0.05301101133227348, -0.048905108124017715, 0.05263429880142212, -0.017174050211906433, -0.005412436090409756, -0.048969853669404984, 0.005282056052237749, 0.005789055023342371, -0.054398998618125916, -0.02582811564207077, 0.004179770592600107, -0.08462142944335938, -0.009372181259095669, -0.04481605067849159, -0.01934117265045643, -0.016919950023293495, 0.04890793189406395, 0.062267694622278214, 0.11292251944541931, -0.032651133835315704, 0.0648641586303711, -0.058563482016325, -0.021214492619037628, -0.026308732107281685, -0.08094392716884613, 0.04559784382581711, 0.052018750458955765, 0.12719252705574036, -0.010649306699633598, 0.04149632155895233, 0.01282986905425787, -0.08439206331968307, 0.07564958930015564, -0.024956967681646347, 0.045029524713754654, 0.036470696330070496, 0.022925715893507004, 0.008585897274315357, -0.018297839909791946, -0.050413183867931366, -0.014116215519607067, 0.019099248573184013, 0.06755980104207993, 0.026465188711881638, -0.0010058756452053785, 0.0720570906996727, 0.014044362120330334, -0.019804440438747406, -0.02646706998348236, -0.0780724361538887, 0.010049331933259964, 0.0447230264544487, -0.007990332320332527, -0.027888327836990356, -0.08457773178815842, 0.04615025594830513, -0.06694706529378891, -0.10362750291824341, 0.02245083823800087, 0.07428398728370667, -0.030329883098602295, 0.021096184849739075, 0.01272602565586567, 0.013028938323259354, 0.04780052229762077, 0.12284033000469208, -0.0608474537730217, 0.03892967849969864, -0.04406283050775528, -0.027166370302438736, 0.118281789124012, -0.05056624487042427, 0.03860348090529442, -0.03782901167869568, -4.256521179968331e-8, -0.024776583537459373, -0.04297371953725815, -0.023178722709417343, -0.07703924924135208, -0.016389641910791397, 0.006916720885783434, -0.03719063475728035, 0.14441481232643127, -0.025539375841617584, 0.021155040711164474, 0.07771525532007217, 0.06188769266009331, -0.061025913804769516, 0.021364400163292885, 0.06675327569246292, -0.08006653189659119, -0.01979036070406437, 0.04164005443453789, -0.02085256762802601, 0.029977692291140556, 0.06722575426101685, -0.05040229111909866, 0.04807841777801514, -0.010311624966561794, 0.05220434442162514, -0.14475254714488983, 0.03612125664949417, 0.015220332890748978, 0.10633241385221481, 0.0007134299376048148, -0.07337639480829239, 0.007092955522239208, 0.04653215780854225, 0.05784473195672035, 0.10622051358222961, 0.06458079069852829, 0.049002792686223984, 0.03322456404566765, -0.06889110058546066, 0.07787803560495377, 0.020448321476578712, -0.029106633737683296, -0.03834688663482666, 0.02926028147339821, -0.020574409514665604, -0.035682350397109985, 0.08707106858491898, -0.03460724651813507, 0.06576158106327057, -0.016720782965421677, -0.013130076229572296, -0.061110254377126694, 0.0031862554606050253, -0.005398813169449568, 0.05055847391486168, 0.04167865216732025, -0.0734332948923111, -0.058606889098882675, -0.017213299870491028, -0.04675573855638504, 0.012446464970707893, -0.02765464223921299, -0.01922742836177349, -0.012381103821098804 ]
null
null
null
null
null
null
null
[ -0.014152015559375286, -0.01253599114716053, 0.051827311515808105, 0.015560920350253582, 0.08404935151338577, 0.00009448675700696185, -0.0445065051317215, -0.009589546360075474, -0.0009267118875868618, -0.031121205538511276, -0.04717276990413666, 0.004360489081591368, -0.03970695286989212, 0.03539764881134033, -0.08074194937944412, -0.03812529146671295, 0.030920634046196938, -0.004028649069368839, 0.01892174407839775, 0.059103306382894516, 0.06461712718009949, 0.10243513435125351, -0.007969500496983528, 0.039108432829380035, 0.04090573638677597, -0.026759201660752296, 0.06635084748268127, 0.03313086926937103, -0.043656736612319946, 0.06093892455101013, 0.009214609861373901, -0.03931766375899315, -0.0051499647088348866, -0.09198233485221863, -0.0698070377111435, -0.006134727504104376, 0.017215188592672348, 0.06808248907327652, -0.1054292544722557, 0.039287447929382324, 0.0626116693019867, -0.07012279331684113, -0.010637733153998852, 0.003615315305069089, 0.10601607710123062, 0.08686503022909164, -0.11968713998794556, -0.014180948957800865, 0.00276077794842422, 0.04281838610768318, -0.03668024390935898, -0.042408306151628494, -0.07755713164806366, 0.015107084065675735, -0.021888719871640205, -0.08494547754526138, -0.04854385554790497, -0.06542305648326874, -0.019536351785063744, -0.0014314597938209772, 0.07495194673538208, -0.05989588052034378, -0.002666539279744029, 0.029828093945980072, 0.03372229263186455, -0.02664705365896225, 0.007727036718279123, 0.02149469405412674, 0.0039740996435284615, -0.08253312110900879, -0.005638716276735067, 0.0728905200958252, -0.0897151380777359, 0.12922902405261993, 0.011063182726502419, 0.05545821785926819, 0.02107122354209423, 0.0650077685713768, 0.05908961966633797, -0.03482829034328461, -0.04743490740656853, 0.07337737083435059, 0.01765080913901329, -0.04389433562755585, 0.03140764310956001, 0.0741305947303772, -0.03528965637087822, 0.06543214619159698, -0.07299050688743591, -0.018027298152446747, 0.10595513135194778, -0.026106039062142372, 0.028712358325719833, 0.001859647803939879, -0.11925072968006134, -0.006905452348291874, 0.008210050873458385, -0.03311619162559509, 0.01741514354944229, 0.04142972454428673, -0.02995165064930916, 0.021324079483747482, 0.021007074043154716, 0.009237813763320446, 0.03394141048192978, -0.0007507452974095941, -0.019404832273721695, -0.02543952688574791, 0.09068071842193604, -0.0414772629737854, 0.06061612069606781, 0.033449817448854446, -0.09279283881187439, 0.025004198774695396, 0.022154947742819786, -0.006673600524663925, -0.034925270825624466, 0.029660217463970184, -0.02677440084517002, 0.0919913575053215, -0.06828244030475616, -0.1019224151968956, -0.029374219477176666, -0.026430511847138405, 0.05817346274852753, 0.04459896311163902, -0.05367564409971237, 2.2575324926503876e-33, 0.035673439502716064, -0.020911583676934242, 0.04211442545056343, -0.0064007374458014965, 0.005080235190689564, -0.09884810447692871, -0.044488657265901566, 0.028131606057286263, 0.06461619585752487, 0.03896590694785118, -0.07745970785617828, -0.006214987952262163, 0.03418613597750664, 0.00008103292202576995, 0.03138939291238785, 0.06993292272090912, -0.004752808716148138, 0.01918036863207817, 0.00755489245057106, -0.026378868147730827, 0.06085406243801117, -0.03428042307496071, 0.015377720817923546, -0.030582912266254425, -0.03812344744801521, 0.014875290915369987, -0.08405666798353195, -0.04346081241965294, -0.006629720330238342, 0.017349006608128548, -0.09102052450180054, -0.025401951745152473, -0.0013834788696840405, -0.05026419088244438, 0.025773297995328903, -0.04448169097304344, -0.013824648223817348, -0.08938699215650558, 0.01916009932756424, 0.04056056961417198, -0.014298366382718086, -0.04529915004968643, -0.030588984489440918, -0.03521190956234932, 0.004167833365499973, 0.12273892760276794, 0.07835781574249268, -0.028851401060819626, -0.05983288586139679, 0.00046614851453341544, -0.008917732164263725, -0.009417593479156494, -0.006962112616747618, 0.011294232681393623, -0.04135298728942871, 0.04136146232485771, -0.03522995859384537, 0.009929348714649677, -0.016750382259488106, 0.05497647076845169, -0.03410380706191063, 0.019450653344392776, 0.03385401889681816, -0.007963372394442558, -0.031598836183547974, -0.07495627552270889, 0.010293373838067055, -0.020110374316573143, 0.012256297282874584, -0.0043689776211977005, 0.07306933403015137, 0.04926977679133415, -0.031459107995033264, -0.08100617676973343, 0.026715554296970367, 0.02782239392399788, 0.073875792324543, 0.03475094586610794, -0.06469893455505371, 0.02520945481956005, -0.08144310116767883, 0.12765268981456757, -0.02576286345720291, -0.11294181644916534, -0.00015113025438040495, -0.0027414741925895214, 0.04244072735309601, -0.07175975292921066, -0.03005068749189377, -0.022380845621228218, -0.02922726236283779, 0.10119595378637314, 0.0018232112051919103, 0.015963049605488777, 0.04020792245864868, -2.372559573995141e-33, -0.05359898507595062, -0.013517698273062706, 0.1038367971777916, -0.013534080237150192, 0.01253024023026228, 0.04460560530424118, -0.009365033358335495, 0.020987696945667267, 0.007704350631684065, -0.07376457750797272, 0.03245978057384491, 0.011232007294893265, 0.07772254943847656, -0.00857455562800169, 0.09193387627601624, 0.07183616608381271, -0.036486100405454636, -0.022499462589621544, -0.05181673541665077, 0.07501646131277084, -0.0014955466613173485, 0.05301101133227348, -0.048905108124017715, 0.05263429880142212, -0.017174050211906433, -0.005412436090409756, -0.048969853669404984, 0.005282056052237749, 0.005789055023342371, -0.054398998618125916, -0.02582811564207077, 0.004179770592600107, -0.08462142944335938, -0.009372181259095669, -0.04481605067849159, -0.01934117265045643, -0.016919950023293495, 0.04890793189406395, 0.062267694622278214, 0.11292251944541931, -0.032651133835315704, 0.0648641586303711, -0.058563482016325, -0.021214492619037628, -0.026308732107281685, -0.08094392716884613, 0.04559784382581711, 0.052018750458955765, 0.12719252705574036, -0.010649306699633598, 0.04149632155895233, 0.01282986905425787, -0.08439206331968307, 0.07564958930015564, -0.024956967681646347, 0.045029524713754654, 0.036470696330070496, 0.022925715893507004, 0.008585897274315357, -0.018297839909791946, -0.050413183867931366, -0.014116215519607067, 0.019099248573184013, 0.06755980104207993, 0.026465188711881638, -0.0010058756452053785, 0.0720570906996727, 0.014044362120330334, -0.019804440438747406, -0.02646706998348236, -0.0780724361538887, 0.010049331933259964, 0.0447230264544487, -0.007990332320332527, -0.027888327836990356, -0.08457773178815842, 0.04615025594830513, -0.06694706529378891, -0.10362750291824341, 0.02245083823800087, 0.07428398728370667, -0.030329883098602295, 0.021096184849739075, 0.01272602565586567, 0.013028938323259354, 0.04780052229762077, 0.12284033000469208, -0.0608474537730217, 0.03892967849969864, -0.04406283050775528, -0.027166370302438736, 0.118281789124012, -0.05056624487042427, 0.03860348090529442, -0.03782901167869568, -4.256521179968331e-8, -0.024776583537459373, -0.04297371953725815, -0.023178722709417343, -0.07703924924135208, -0.016389641910791397, 0.006916720885783434, -0.03719063475728035, 0.14441481232643127, -0.025539375841617584, 0.021155040711164474, 0.07771525532007217, 0.06188769266009331, -0.061025913804769516, 0.021364400163292885, 0.06675327569246292, -0.08006653189659119, -0.01979036070406437, 0.04164005443453789, -0.02085256762802601, 0.029977692291140556, 0.06722575426101685, -0.05040229111909866, 0.04807841777801514, -0.010311624966561794, 0.05220434442162514, -0.14475254714488983, 0.03612125664949417, 0.015220332890748978, 0.10633241385221481, 0.0007134299376048148, -0.07337639480829239, 0.007092955522239208, 0.04653215780854225, 0.05784473195672035, 0.10622051358222961, 0.06458079069852829, 0.049002792686223984, 0.03322456404566765, -0.06889110058546066, 0.07787803560495377, 0.020448321476578712, -0.029106633737683296, -0.03834688663482666, 0.02926028147339821, -0.020574409514665604, -0.035682350397109985, 0.08707106858491898, -0.03460724651813507, 0.06576158106327057, -0.016720782965421677, -0.013130076229572296, -0.061110254377126694, 0.0031862554606050253, -0.005398813169449568, 0.05055847391486168, 0.04167865216732025, -0.0734332948923111, -0.058606889098882675, -0.017213299870491028, -0.04675573855638504, 0.012446464970707893, -0.02765464223921299, -0.01922742836177349, -0.012381103821098804 ]
1402.0466
Jerry Va'vra
J.Va'vra
Molecular excitations: a new way to detect Dark matter
null
null
10.1016/j.physletb.2014.07.023
null
astro-ph.IM physics.ins-det
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We believe that the Dark Matter (DM) search should be expanded into the domain of detectors sensitive to molecular excitations, and so that we should create detectors which are more sensitive to collisions with very light WIMPs. In this paper we investigate in detail di-atomic molecules, such as Fused Silica material with large OH-molecule content, and water molecules. Presently, we do not have suitable low cost IR detectors to observe single photons, however some OH-molecular excitations extend to visible and UV wavelengths, and can be measured by Bialkali photocathodes. There are many other chemical substances with di-atomic molecules, or more complex oil molecules, which could be investigated also. This idea invites searches in experiments having large target volumes of such materials coupled to a large array of single-photon detectors with Bialkali or infrared-sensitive photocathodes.
[ { "created": "Mon, 3 Feb 2014 19:16:12 GMT", "version": "v1" }, { "created": "Thu, 26 Jun 2014 02:28:07 GMT", "version": "v2" }, { "created": "Sun, 27 Jul 2014 20:53:26 GMT", "version": "v3" } ]
2015-06-18
[ [ "Va'vra", "J.", "" ] ]
[ -0.007793969940394163, -0.04811466112732887, 0.03533096984028816, 0.09091800451278687, 0.020945029333233833, -0.07464858144521713, 0.03372209519147873, 0.013967139646410942, 0.05608947575092316, 0.02699200250208378, 0.03466595709323883, -0.07846927642822266, -0.0333988219499588, -0.028371145948767662, 0.1043316125869751, 0.07930554449558258, 0.08269428461790085, 0.02584323287010193, -0.005895981099456549, -0.00042181272874586284, -0.012506647035479546, -0.027008742094039917, 0.024236317723989487, -0.06731194257736206, -0.10305763781070709, 0.08177302032709122, 0.030841326341032982, -0.057326510548591614, -0.058066461235284805, -0.06137638911604881, 0.07115334272384644, -0.05408233404159546, -0.0024361584801226854, 0.03567063808441162, 0.08192594349384308, -0.04251590371131897, -0.011613639071583748, -0.06418876349925995, 0.002465949859470129, -0.018980126827955246, -0.009441676549613476, -0.003900350071489811, 0.0328773558139801, -0.055203523486852646, -0.06442272663116455, -0.06007201224565506, 0.06504166126251221, -0.001842034631408751, -0.016791965812444687, -0.03653828054666519, 0.04470612853765488, -0.020103853195905685, 0.0006842210423201323, 0.03365987539291382, -0.007900115102529526, -0.04887627437710762, -0.03338196128606796, 0.021679827943444252, 0.03158164396882057, 0.02603783831000328, 0.06855811178684235, -0.0044976212084293365, -0.018006842583417892, -0.032622892409563065, 0.0714016854763031, 0.022565849125385284, 0.013815549202263355, -0.04398445039987564, 0.04741200804710388, -0.028739042580127716, -0.027271969243884087, 0.09614092856645584, 0.005425534211099148, 0.024504203349351883, -0.01417667604982853, 0.034223053604364395, 0.028944065794348717, 0.04525068402290344, 0.0890195444226265, 0.01949268952012062, -0.014404390938580036, -0.0434328056871891, 0.02810894139111042, 0.02904418297111988, 0.1300603300333023, 0.045257795602083206, -0.0014037102228030562, 0.0707675889134407, -0.07460000365972519, -0.07165802270174026, -0.04192566126585007, -0.05805380642414093, 0.0011444214032962918, -0.045728590339422226, -0.02697787433862686, 0.01848735474050045, 0.015808051452040672, -0.019870135933160782, 0.026539048179984093, -0.0000873641183716245, 0.09702567011117935, 0.03533918410539627, -0.02610921673476696, 0.04058071970939636, -0.06368055194616318, -0.00011423778050811961, 0.02557436376810074, 0.04543691501021385, 0.020957572385668755, -0.0049544633366167545, 0.04952169209718704, -0.015304076485335827, 0.07021013647317886, -0.02736351080238819, -0.03233857452869415, 0.0012345239520072937, 0.021202055737376213, 0.04640614613890648, -0.059571828693151474, 0.032332852482795715, -0.05950389429926872, -0.004658963996917009, 0.024329816922545433, 0.00815725140273571, 0.04927344620227814, 0.03677394986152649, -0.014551917091012001, 1.9004839814407873e-33, 0.07107950747013092, 0.006524001248180866, -0.023431183770298958, 0.021139591932296753, -0.004717553965747356, -0.04012163355946541, -0.0004506019176915288, 0.04475133866071701, -0.19800879061222076, 0.023754052817821503, 0.05345592275261879, 0.07672169059515, 0.06333597004413605, 0.012317731976509094, 0.022642800584435463, 0.034061480313539505, 0.04313180595636368, 0.07551734894514084, 0.035369113087654114, 0.0054267169907689095, -0.08625620603561401, 0.014169714413583279, 0.017358768731355667, 0.033093057572841644, -0.02784506417810917, 0.0657985657453537, -0.01293189823627472, -0.055374715477228165, 0.01854756288230419, -0.03294656053185463, -0.042526230216026306, 0.07783756405115128, -0.021952226758003235, 0.10586488991975784, -0.0001882935466710478, 0.006382890976965427, -0.12030774354934692, 0.0637819841504097, 0.004681521560996771, -0.13308845460414886, -0.007397247478365898, 0.06173383817076683, 0.017747171223163605, -0.060233935713768005, -0.026394305750727654, -0.021252475678920746, -0.08945269137620926, -0.08718748390674591, -0.01353597640991211, 0.024228205904364586, 0.020512156188488007, -0.06467026472091675, -0.041021570563316345, -0.03495257720351219, 0.03532226383686066, -0.025750914588570595, 0.037505775690078735, 0.005145305767655373, 0.09509655088186264, 0.007979349233210087, -0.0074427309446036816, 0.019483475014567375, 0.03171376883983612, 0.05070198327302933, -0.05094347521662712, 0.03231583163142204, 0.0091865798458457, 0.029216120019555092, 0.0036142789758741856, 0.022893203422427177, -0.0358273945748806, 0.041197799146175385, 0.09845800697803497, -0.13490507006645203, 0.06150427088141441, 0.04423004388809204, 0.0762668028473854, -0.13006283342838287, 0.06343580782413483, 0.04186120629310608, 0.02584194764494896, -0.060873810201883316, 0.05908207222819328, -0.10611358284950256, -0.1131075844168663, -0.00706326961517334, -0.11034007370471954, -0.03729607164859772, -0.051838312298059464, 0.02612556889653206, 0.041206054389476776, -0.02440396137535572, -0.06601336598396301, -0.10051490366458893, -0.08353999257087708, -2.3047137134855248e-33, 0.06347542256116867, -0.027714697644114494, -0.014271036721765995, 0.005830904934555292, 0.07682856917381287, 0.0062597570940852165, -0.00797837320715189, -0.06416919827461243, 0.025447769090533257, 0.0056523228995501995, 0.10339095443487167, 0.007842999882996082, -0.04679391533136368, -0.010730973444879055, -0.03277778625488281, -0.0037396682891994715, 0.06380727142095566, -0.012420829385519028, 0.07926824688911438, -0.013320313766598701, -0.06560096144676208, 0.03912528604269028, 0.04677572846412659, 0.02015962451696396, -0.026054583489894867, 0.026828622445464134, 0.09749191254377365, -0.12017063796520233, -0.03921705111861229, -0.02195662073791027, -0.01836482062935829, -0.014443882741034031, 0.03483056649565697, -0.009330980479717255, -0.022779569029808044, -0.009255282580852509, 0.06933193653821945, 0.003939205314964056, -0.056955330073833466, -0.01337479054927826, 0.02537110447883606, -0.005634984467178583, -0.059855081140995026, 0.024124354124069214, 0.010681362822651863, 0.023671165108680725, -0.052095770835876465, 0.04966769367456436, -0.029830262064933777, -0.01292139757424593, -0.0054894303902983665, -0.019804764539003372, -0.0854477733373642, 0.0008942633867263794, -0.034836284816265106, 0.04348494112491608, 0.029020074754953384, 0.040838342159986496, -0.03675094246864319, 0.10632795840501785, -0.019688302651047707, -0.032997533679008484, 0.015099922195076942, -0.004103279672563076, -0.07572714984416962, -0.005031875800341368, -0.004442042205482721, 0.10635946691036224, 0.016241608187556267, -0.06064695119857788, 0.10334786772727966, 0.009364007040858269, 0.09701377898454666, 0.061745453625917435, 0.07838573306798935, -0.012565301731228828, 0.04545729607343674, -0.04450786113739014, -0.02601134590804577, 0.03916066139936447, -0.011142699979245663, -0.020309366285800934, -0.0722106471657753, -0.01215932983905077, 0.09170852601528168, -0.018473651260137558, -0.026920707896351814, -0.01322158332914114, -0.02597602643072605, -0.03203222155570984, -0.025182299315929413, -0.033566560596227646, 0.05553562194108963, -0.013508726842701435, 0.07422822713851929, -4.388243368680378e-8, 0.021488621830940247, -0.0073406812734901905, -0.038536421954631805, -0.014207554049789906, -0.009302696213126183, 0.012407314032316208, 0.038015905767679214, 0.09865932911634445, -0.06689666956663132, 0.008965928107500076, 0.03278819099068642, -0.028652075678110123, -0.06112310662865639, 0.018793242052197456, 0.0637260302901268, 0.06768026947975159, -0.021511884406208992, -0.14963941276073456, -0.02744322270154953, -0.006378845311701298, 0.01645667292177677, 0.005150273907929659, 0.08202607184648514, 0.012761134654283524, 0.023746684193611145, 0.021325815469026566, -0.02410705015063286, -0.040448129177093506, -0.006601994391530752, -0.044796016067266464, 0.05019102990627289, -0.014370430260896683, 0.04100920259952545, 0.012660081498324871, 0.016412684693932533, -0.07306896150112152, -0.06817962229251862, 0.004118065815418959, -0.05958450213074684, 0.028020640835165977, -0.0741364061832428, 0.050497666001319885, -0.08788318932056427, 0.020731527358293533, -0.0886191800236702, 0.04344279691576958, 0.009062880650162697, -0.027135780081152916, -0.04793114215135574, 0.05917176231741905, -0.019339723512530327, -0.006585646420717239, 0.033840201795101166, 0.0073132384568452835, -0.07355167716741562, 0.022143784910440445, -0.008498063310980797, -0.023056134581565857, -0.015954354777932167, -0.0070600551553070545, 0.1569673866033554, -0.1398639678955078, -0.020326916128396988, -0.007108815014362335 ]
null
null
null
null
null
null
null
[ -0.007793969940394163, -0.04811466112732887, 0.03533096984028816, 0.09091800451278687, 0.020945029333233833, -0.07464858144521713, 0.03372209519147873, 0.013967139646410942, 0.05608947575092316, 0.02699200250208378, 0.03466595709323883, -0.07846927642822266, -0.0333988219499588, -0.028371145948767662, 0.1043316125869751, 0.07930554449558258, 0.08269428461790085, 0.02584323287010193, -0.005895981099456549, -0.00042181272874586284, -0.012506647035479546, -0.027008742094039917, 0.024236317723989487, -0.06731194257736206, -0.10305763781070709, 0.08177302032709122, 0.030841326341032982, -0.057326510548591614, -0.058066461235284805, -0.06137638911604881, 0.07115334272384644, -0.05408233404159546, -0.0024361584801226854, 0.03567063808441162, 0.08192594349384308, -0.04251590371131897, -0.011613639071583748, -0.06418876349925995, 0.002465949859470129, -0.018980126827955246, -0.009441676549613476, -0.003900350071489811, 0.0328773558139801, -0.055203523486852646, -0.06442272663116455, -0.06007201224565506, 0.06504166126251221, -0.001842034631408751, -0.016791965812444687, -0.03653828054666519, 0.04470612853765488, -0.020103853195905685, 0.0006842210423201323, 0.03365987539291382, -0.007900115102529526, -0.04887627437710762, -0.03338196128606796, 0.021679827943444252, 0.03158164396882057, 0.02603783831000328, 0.06855811178684235, -0.0044976212084293365, -0.018006842583417892, -0.032622892409563065, 0.0714016854763031, 0.022565849125385284, 0.013815549202263355, -0.04398445039987564, 0.04741200804710388, -0.028739042580127716, -0.027271969243884087, 0.09614092856645584, 0.005425534211099148, 0.024504203349351883, -0.01417667604982853, 0.034223053604364395, 0.028944065794348717, 0.04525068402290344, 0.0890195444226265, 0.01949268952012062, -0.014404390938580036, -0.0434328056871891, 0.02810894139111042, 0.02904418297111988, 0.1300603300333023, 0.045257795602083206, -0.0014037102228030562, 0.0707675889134407, -0.07460000365972519, -0.07165802270174026, -0.04192566126585007, -0.05805380642414093, 0.0011444214032962918, -0.045728590339422226, -0.02697787433862686, 0.01848735474050045, 0.015808051452040672, -0.019870135933160782, 0.026539048179984093, -0.0000873641183716245, 0.09702567011117935, 0.03533918410539627, -0.02610921673476696, 0.04058071970939636, -0.06368055194616318, -0.00011423778050811961, 0.02557436376810074, 0.04543691501021385, 0.020957572385668755, -0.0049544633366167545, 0.04952169209718704, -0.015304076485335827, 0.07021013647317886, -0.02736351080238819, -0.03233857452869415, 0.0012345239520072937, 0.021202055737376213, 0.04640614613890648, -0.059571828693151474, 0.032332852482795715, -0.05950389429926872, -0.004658963996917009, 0.024329816922545433, 0.00815725140273571, 0.04927344620227814, 0.03677394986152649, -0.014551917091012001, 1.9004839814407873e-33, 0.07107950747013092, 0.006524001248180866, -0.023431183770298958, 0.021139591932296753, -0.004717553965747356, -0.04012163355946541, -0.0004506019176915288, 0.04475133866071701, -0.19800879061222076, 0.023754052817821503, 0.05345592275261879, 0.07672169059515, 0.06333597004413605, 0.012317731976509094, 0.022642800584435463, 0.034061480313539505, 0.04313180595636368, 0.07551734894514084, 0.035369113087654114, 0.0054267169907689095, -0.08625620603561401, 0.014169714413583279, 0.017358768731355667, 0.033093057572841644, -0.02784506417810917, 0.0657985657453537, -0.01293189823627472, -0.055374715477228165, 0.01854756288230419, -0.03294656053185463, -0.042526230216026306, 0.07783756405115128, -0.021952226758003235, 0.10586488991975784, -0.0001882935466710478, 0.006382890976965427, -0.12030774354934692, 0.0637819841504097, 0.004681521560996771, -0.13308845460414886, -0.007397247478365898, 0.06173383817076683, 0.017747171223163605, -0.060233935713768005, -0.026394305750727654, -0.021252475678920746, -0.08945269137620926, -0.08718748390674591, -0.01353597640991211, 0.024228205904364586, 0.020512156188488007, -0.06467026472091675, -0.041021570563316345, -0.03495257720351219, 0.03532226383686066, -0.025750914588570595, 0.037505775690078735, 0.005145305767655373, 0.09509655088186264, 0.007979349233210087, -0.0074427309446036816, 0.019483475014567375, 0.03171376883983612, 0.05070198327302933, -0.05094347521662712, 0.03231583163142204, 0.0091865798458457, 0.029216120019555092, 0.0036142789758741856, 0.022893203422427177, -0.0358273945748806, 0.041197799146175385, 0.09845800697803497, -0.13490507006645203, 0.06150427088141441, 0.04423004388809204, 0.0762668028473854, -0.13006283342838287, 0.06343580782413483, 0.04186120629310608, 0.02584194764494896, -0.060873810201883316, 0.05908207222819328, -0.10611358284950256, -0.1131075844168663, -0.00706326961517334, -0.11034007370471954, -0.03729607164859772, -0.051838312298059464, 0.02612556889653206, 0.041206054389476776, -0.02440396137535572, -0.06601336598396301, -0.10051490366458893, -0.08353999257087708, -2.3047137134855248e-33, 0.06347542256116867, -0.027714697644114494, -0.014271036721765995, 0.005830904934555292, 0.07682856917381287, 0.0062597570940852165, -0.00797837320715189, -0.06416919827461243, 0.025447769090533257, 0.0056523228995501995, 0.10339095443487167, 0.007842999882996082, -0.04679391533136368, -0.010730973444879055, -0.03277778625488281, -0.0037396682891994715, 0.06380727142095566, -0.012420829385519028, 0.07926824688911438, -0.013320313766598701, -0.06560096144676208, 0.03912528604269028, 0.04677572846412659, 0.02015962451696396, -0.026054583489894867, 0.026828622445464134, 0.09749191254377365, -0.12017063796520233, -0.03921705111861229, -0.02195662073791027, -0.01836482062935829, -0.014443882741034031, 0.03483056649565697, -0.009330980479717255, -0.022779569029808044, -0.009255282580852509, 0.06933193653821945, 0.003939205314964056, -0.056955330073833466, -0.01337479054927826, 0.02537110447883606, -0.005634984467178583, -0.059855081140995026, 0.024124354124069214, 0.010681362822651863, 0.023671165108680725, -0.052095770835876465, 0.04966769367456436, -0.029830262064933777, -0.01292139757424593, -0.0054894303902983665, -0.019804764539003372, -0.0854477733373642, 0.0008942633867263794, -0.034836284816265106, 0.04348494112491608, 0.029020074754953384, 0.040838342159986496, -0.03675094246864319, 0.10632795840501785, -0.019688302651047707, -0.032997533679008484, 0.015099922195076942, -0.004103279672563076, -0.07572714984416962, -0.005031875800341368, -0.004442042205482721, 0.10635946691036224, 0.016241608187556267, -0.06064695119857788, 0.10334786772727966, 0.009364007040858269, 0.09701377898454666, 0.061745453625917435, 0.07838573306798935, -0.012565301731228828, 0.04545729607343674, -0.04450786113739014, -0.02601134590804577, 0.03916066139936447, -0.011142699979245663, -0.020309366285800934, -0.0722106471657753, -0.01215932983905077, 0.09170852601528168, -0.018473651260137558, -0.026920707896351814, -0.01322158332914114, -0.02597602643072605, -0.03203222155570984, -0.025182299315929413, -0.033566560596227646, 0.05553562194108963, -0.013508726842701435, 0.07422822713851929, -4.388243368680378e-8, 0.021488621830940247, -0.0073406812734901905, -0.038536421954631805, -0.014207554049789906, -0.009302696213126183, 0.012407314032316208, 0.038015905767679214, 0.09865932911634445, -0.06689666956663132, 0.008965928107500076, 0.03278819099068642, -0.028652075678110123, -0.06112310662865639, 0.018793242052197456, 0.0637260302901268, 0.06768026947975159, -0.021511884406208992, -0.14963941276073456, -0.02744322270154953, -0.006378845311701298, 0.01645667292177677, 0.005150273907929659, 0.08202607184648514, 0.012761134654283524, 0.023746684193611145, 0.021325815469026566, -0.02410705015063286, -0.040448129177093506, -0.006601994391530752, -0.044796016067266464, 0.05019102990627289, -0.014370430260896683, 0.04100920259952545, 0.012660081498324871, 0.016412684693932533, -0.07306896150112152, -0.06817962229251862, 0.004118065815418959, -0.05958450213074684, 0.028020640835165977, -0.0741364061832428, 0.050497666001319885, -0.08788318932056427, 0.020731527358293533, -0.0886191800236702, 0.04344279691576958, 0.009062880650162697, -0.027135780081152916, -0.04793114215135574, 0.05917176231741905, -0.019339723512530327, -0.006585646420717239, 0.033840201795101166, 0.0073132384568452835, -0.07355167716741562, 0.022143784910440445, -0.008498063310980797, -0.023056134581565857, -0.015954354777932167, -0.0070600551553070545, 0.1569673866033554, -0.1398639678955078, -0.020326916128396988, -0.007108815014362335 ]
1402.0471
David Auger
David Auger (MAGMAT), Pierre COUCHENEY (PRISM), Yann Strozecki (PRISM)
Finding Optimal Strategies of Almost Acyclic Simple Stochatic Games
null
null
null
null
cs.CC cs.DS cs.GT
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The optimal value computation for turned-based stochastic games with reachability objectives, also known as simple stochastic games, is one of the few problems in $NP \cap coNP$ which are not known to be in $P$. However, there are some cases where these games can be easily solved, as for instance when the underlying graph is acyclic. In this work, we try to extend this tractability to several classes of games that can be thought as "almost" acyclic. We give some fixed-parameter tractable or polynomial algorithms in terms of different parameters such as the number of cycles or the size of the minimal feedback vertex set.
[ { "created": "Mon, 3 Feb 2014 19:24:12 GMT", "version": "v1" } ]
2014-08-10
[ [ "Auger", "David", "", "MAGMAT" ], [ "COUCHENEY", "Pierre", "", "PRISM" ], [ "Strozecki", "Yann", "", "PRISM" ] ]
[ 0.015441031195223331, 0.0055537414737045765, -0.0655427798628807, -0.01790887676179409, -0.005856662057340145, -0.0059424894861876965, -0.0040097925812006, 0.04198941960930824, -0.06258689612150192, 0.020746920257806778, -0.09607822448015213, 0.026559947058558464, -0.006219138856977224, -0.00865243747830391, 0.04218392074108124, 0.07123057544231415, 0.09668366611003876, -0.033693160861730576, 0.08688107132911682, 0.020817577838897705, -0.014297094196081161, -0.02389325201511383, -0.015782026574015617, -0.08072865009307861, -0.023744292557239532, -0.031312305480241776, -0.06467291712760925, 0.007822779938578606, -0.009552037343382835, -0.005999286193400621, -0.015101596713066101, 0.03424137085676193, -0.02962534688413143, -0.03541725501418114, 0.011449534446001053, 0.06616386026144028, -0.0608808770775795, -0.057018477469682693, 0.02136501483619213, 0.04192923754453659, 0.04075518995523453, 0.044320736080408096, 0.03208594769239426, 0.05268902704119682, -0.0202350951731205, 0.0038293099496513605, -0.05428101494908333, 0.06792262941598892, -0.03584056720137596, -0.04782846197485924, -0.004903567489236593, -0.02156813070178032, -0.050129134207963943, -0.028425000607967377, -0.011448380537331104, -0.009281083941459656, 0.005540445912629366, 0.01978708803653717, 0.04681077226996422, -0.04973657429218292, 0.019646570086479187, -0.06502123177051544, -0.01201622560620308, 0.0006526781362481415, -0.0037737246602773666, 0.007346074562519789, 0.11144474893808365, -0.0397908091545105, -0.00010845752694876865, 0.07697810977697372, 0.05194302648305893, -0.011392456479370594, -0.08152315020561218, -0.005439197178930044, 0.05179758742451668, -0.034004587680101395, 0.00754064554348588, 0.008003509603440762, -0.0760883018374443, 0.03353872522711754, -0.04238726198673248, -0.01714293099939823, 0.04083681106567383, -0.021414602175354958, 0.009399307891726494, -0.08655562251806259, -0.049342475831508636, 0.024714196100831032, 0.1598656326532364, -0.00012504476762842387, -0.10524115711450577, 0.032109569758176804, -0.011801677756011486, 0.026594914495944977, -0.014855901710689068, -0.003164363093674183, 0.040501371026039124, -0.0869389995932579, 0.003957072272896767, 0.05724238604307175, -0.014318039640784264, 0.017805714160203934, 0.0353478267788887, -0.010131035931408405, 0.07556156069040298, 0.0922270268201828, -0.01679912395775318, 0.012269660830497742, -0.12717324495315552, -0.021881908178329468, -0.0066910660825669765, 0.042820826172828674, 0.0644630715250969, -0.04355664923787117, 0.034497592598199844, 0.00939165335148573, -0.012161243706941605, -0.013147003017365932, -0.028653888031840324, -0.00978925358504057, -0.02681404910981655, -0.019926883280277252, -0.010851764120161533, 0.04788947477936745, -0.0005518852267414331, -0.0160051416605711, 0.045074693858623505, 1.71304001960065e-33, -0.03787543624639511, -0.007960700429975986, 0.048035476356744766, -0.11214309930801392, 0.040141552686691284, -0.013814224861562252, 0.10510838031768799, -0.03813321515917778, -0.03334622085094452, -0.03129803016781807, -0.031076842918992043, 0.012457918375730515, -0.02835986763238907, -0.011885405518114567, 0.1729792356491089, -0.047675371170043945, 0.013815582729876041, 0.00763912545517087, 0.024492252618074417, -0.12044704705476761, 0.07769929617643356, 0.03276949003338814, 0.017804834991693497, -0.02254023589193821, 0.007275537587702274, -0.005579378921538591, -0.0468314103782177, -0.011196659877896309, 0.017135370522737503, -0.013450119644403458, -0.02254803106188774, 0.020069275051355362, 0.024928342550992966, 0.10321925580501556, -0.039754319936037064, 0.0436549074947834, -0.12008407711982727, -0.023001408204436302, -0.009684366174042225, -0.04239843785762787, 0.006787195801734924, 0.021626876667141914, 0.024583209306001663, -0.011557180434465408, -0.06425861269235611, -0.043049972504377365, -0.015491514466702938, 0.02393953688442707, -0.11173079162836075, -0.03726038709282875, 0.0004622926644515246, 0.03916633874177933, -0.06713443249464035, -0.0031514435540884733, -0.025193504989147186, -0.06466164439916611, 0.040533266961574554, 0.03695264831185341, -0.0892883688211441, 0.07140801101922989, 0.06342408806085587, -0.052015069872140884, 0.023100776597857475, -0.030458535999059677, -0.09118994325399399, 0.1391097605228424, -0.025498084723949432, -0.07878217846155167, 0.1315336376428604, -0.051820240914821625, -0.06008069962263107, 0.002152665052562952, -0.012372802942991257, -0.020085150375962257, 0.06160534545779228, 0.006271281745284796, 0.04874558001756668, -0.07151466608047485, -0.02341580018401146, 0.017889847978949547, -0.030673645436763763, -0.03789859265089035, -0.08630727231502533, -0.009223784320056438, -0.006586506962776184, -0.09031384438276291, -0.0043116286396980286, -0.011354019865393639, -0.07982707768678665, -0.02036922797560692, -0.06766853481531143, 0.004872752819210291, 0.004466463346034288, 0.060864806175231934, 0.06413158029317856, -2.8452605662783305e-33, -0.0236960481852293, -0.08802563697099686, -0.0015804906142875552, 0.14236244559288025, 0.00831651221960783, -0.02830963023006916, -0.034736622124910355, -0.040549490600824356, 0.015338917262852192, 0.04782727360725403, -0.10691219568252563, 0.05053436756134033, 0.03585752844810486, -0.00888049602508545, -0.034176118671894073, -0.06692901998758316, 0.02982967533171177, 0.04012260213494301, 0.02414064109325409, 0.032310642302036285, 0.007842378690838814, 0.10748420655727386, -0.009058519266545773, -0.06410501152276993, 0.0943535789847374, 0.08082631975412369, -0.042360614985227585, -0.0641704723238945, 0.05160265415906906, 0.03257862105965614, -0.0635470524430275, -0.047765135765075684, -0.06433401256799698, 0.0572688952088356, 0.05395838990807533, 0.007601562887430191, -0.01841270737349987, 0.03046044521033764, -0.01526500191539526, 0.13546542823314667, 0.0889144092798233, -0.02615334466099739, -0.08286473900079727, 0.09238675236701965, 0.08811071515083313, 0.048719391226768494, -0.03183561563491821, 0.015055251307785511, -0.003354846267029643, -0.07196377217769623, 0.012412557378411293, 0.07070353627204895, 0.01945716142654419, 0.03166544437408447, 0.04029061645269394, 0.01811417005956173, -0.0374569445848465, 0.01650090515613556, 0.06384860724210739, -0.013815286569297314, -0.02977249026298523, 0.000805925577878952, -0.07148909568786621, 0.08676158636808395, 0.029763592407107353, -0.0179323498159647, -0.09368002414703369, -0.06507128477096558, -0.005212705582380295, 0.016213612630963326, -0.051241662353277206, 0.07664401084184647, -0.061903659254312515, -0.03370305523276329, -0.059936512261629105, 0.058258168399333954, 0.032988134771585464, 0.07553185522556305, -0.005027175415307283, 0.008008409291505814, -0.06860911846160889, 0.06762712448835373, 0.056801434606313705, -0.03400149568915367, 0.007700405549257994, -0.03272881358861923, 0.04720833897590637, -0.07040746510028839, 0.04663202166557312, -0.02886071428656578, 0.09019701182842255, 0.03183440491557121, 0.09594439715147018, 0.04801299795508385, -0.03818880021572113, -4.0348670182766e-8, 0.0005467266892082989, 0.03303218260407448, 0.01864180713891983, 0.03699246421456337, 0.12650305032730103, 0.0023185815662145615, 0.048525385558605194, -0.007304353639483452, -0.05081209912896156, 0.09542064368724823, 0.016563815996050835, 0.032571882009506226, 0.04997963830828667, 0.015137717127799988, -0.06139090657234192, 0.05339128151535988, -0.047802116721868515, -0.034972261637449265, 0.0014903033152222633, 0.04189946502447128, -0.037811338901519775, -0.06387525796890259, -0.05110626295208931, 0.024981383234262466, -0.04706156253814697, -0.02394096739590168, -0.01839395798742771, -0.023607805371284485, -0.00019819611043203622, 0.08679661899805069, 0.010700986720621586, -0.01921278052031994, 0.12033059448003769, 0.08115033805370331, 0.028744874522089958, 0.06246541067957878, -0.0368865467607975, 0.017195923253893852, -0.04032101854681969, -0.04753263294696808, -0.022565940394997597, 0.045404091477394104, -0.06367210298776627, 0.031499702483415604, 0.025902587920427322, 0.0047070905566215515, 0.020494285970926285, -0.029901934787631035, -0.02514464408159256, -0.04911425709724426, -0.009636523202061653, 0.027413755655288696, -0.06541000306606293, -0.09323758631944656, 0.03827851265668869, 0.1059858649969101, -0.009471218101680279, -0.02450673095881939, -0.02509344555437565, 0.008313612081110477, -0.0831892341375351, 0.001996830338612199, 0.002026650821790099, 0.003097961889579892 ]
null
null
null
null
null
null
null
[ 0.015441031195223331, 0.0055537414737045765, -0.0655427798628807, -0.01790887676179409, -0.005856662057340145, -0.0059424894861876965, -0.0040097925812006, 0.04198941960930824, -0.06258689612150192, 0.020746920257806778, -0.09607822448015213, 0.026559947058558464, -0.006219138856977224, -0.00865243747830391, 0.04218392074108124, 0.07123057544231415, 0.09668366611003876, -0.033693160861730576, 0.08688107132911682, 0.020817577838897705, -0.014297094196081161, -0.02389325201511383, -0.015782026574015617, -0.08072865009307861, -0.023744292557239532, -0.031312305480241776, -0.06467291712760925, 0.007822779938578606, -0.009552037343382835, -0.005999286193400621, -0.015101596713066101, 0.03424137085676193, -0.02962534688413143, -0.03541725501418114, 0.011449534446001053, 0.06616386026144028, -0.0608808770775795, -0.057018477469682693, 0.02136501483619213, 0.04192923754453659, 0.04075518995523453, 0.044320736080408096, 0.03208594769239426, 0.05268902704119682, -0.0202350951731205, 0.0038293099496513605, -0.05428101494908333, 0.06792262941598892, -0.03584056720137596, -0.04782846197485924, -0.004903567489236593, -0.02156813070178032, -0.050129134207963943, -0.028425000607967377, -0.011448380537331104, -0.009281083941459656, 0.005540445912629366, 0.01978708803653717, 0.04681077226996422, -0.04973657429218292, 0.019646570086479187, -0.06502123177051544, -0.01201622560620308, 0.0006526781362481415, -0.0037737246602773666, 0.007346074562519789, 0.11144474893808365, -0.0397908091545105, -0.00010845752694876865, 0.07697810977697372, 0.05194302648305893, -0.011392456479370594, -0.08152315020561218, -0.005439197178930044, 0.05179758742451668, -0.034004587680101395, 0.00754064554348588, 0.008003509603440762, -0.0760883018374443, 0.03353872522711754, -0.04238726198673248, -0.01714293099939823, 0.04083681106567383, -0.021414602175354958, 0.009399307891726494, -0.08655562251806259, -0.049342475831508636, 0.024714196100831032, 0.1598656326532364, -0.00012504476762842387, -0.10524115711450577, 0.032109569758176804, -0.011801677756011486, 0.026594914495944977, -0.014855901710689068, -0.003164363093674183, 0.040501371026039124, -0.0869389995932579, 0.003957072272896767, 0.05724238604307175, -0.014318039640784264, 0.017805714160203934, 0.0353478267788887, -0.010131035931408405, 0.07556156069040298, 0.0922270268201828, -0.01679912395775318, 0.012269660830497742, -0.12717324495315552, -0.021881908178329468, -0.0066910660825669765, 0.042820826172828674, 0.0644630715250969, -0.04355664923787117, 0.034497592598199844, 0.00939165335148573, -0.012161243706941605, -0.013147003017365932, -0.028653888031840324, -0.00978925358504057, -0.02681404910981655, -0.019926883280277252, -0.010851764120161533, 0.04788947477936745, -0.0005518852267414331, -0.0160051416605711, 0.045074693858623505, 1.71304001960065e-33, -0.03787543624639511, -0.007960700429975986, 0.048035476356744766, -0.11214309930801392, 0.040141552686691284, -0.013814224861562252, 0.10510838031768799, -0.03813321515917778, -0.03334622085094452, -0.03129803016781807, -0.031076842918992043, 0.012457918375730515, -0.02835986763238907, -0.011885405518114567, 0.1729792356491089, -0.047675371170043945, 0.013815582729876041, 0.00763912545517087, 0.024492252618074417, -0.12044704705476761, 0.07769929617643356, 0.03276949003338814, 0.017804834991693497, -0.02254023589193821, 0.007275537587702274, -0.005579378921538591, -0.0468314103782177, -0.011196659877896309, 0.017135370522737503, -0.013450119644403458, -0.02254803106188774, 0.020069275051355362, 0.024928342550992966, 0.10321925580501556, -0.039754319936037064, 0.0436549074947834, -0.12008407711982727, -0.023001408204436302, -0.009684366174042225, -0.04239843785762787, 0.006787195801734924, 0.021626876667141914, 0.024583209306001663, -0.011557180434465408, -0.06425861269235611, -0.043049972504377365, -0.015491514466702938, 0.02393953688442707, -0.11173079162836075, -0.03726038709282875, 0.0004622926644515246, 0.03916633874177933, -0.06713443249464035, -0.0031514435540884733, -0.025193504989147186, -0.06466164439916611, 0.040533266961574554, 0.03695264831185341, -0.0892883688211441, 0.07140801101922989, 0.06342408806085587, -0.052015069872140884, 0.023100776597857475, -0.030458535999059677, -0.09118994325399399, 0.1391097605228424, -0.025498084723949432, -0.07878217846155167, 0.1315336376428604, -0.051820240914821625, -0.06008069962263107, 0.002152665052562952, -0.012372802942991257, -0.020085150375962257, 0.06160534545779228, 0.006271281745284796, 0.04874558001756668, -0.07151466608047485, -0.02341580018401146, 0.017889847978949547, -0.030673645436763763, -0.03789859265089035, -0.08630727231502533, -0.009223784320056438, -0.006586506962776184, -0.09031384438276291, -0.0043116286396980286, -0.011354019865393639, -0.07982707768678665, -0.02036922797560692, -0.06766853481531143, 0.004872752819210291, 0.004466463346034288, 0.060864806175231934, 0.06413158029317856, -2.8452605662783305e-33, -0.0236960481852293, -0.08802563697099686, -0.0015804906142875552, 0.14236244559288025, 0.00831651221960783, -0.02830963023006916, -0.034736622124910355, -0.040549490600824356, 0.015338917262852192, 0.04782727360725403, -0.10691219568252563, 0.05053436756134033, 0.03585752844810486, -0.00888049602508545, -0.034176118671894073, -0.06692901998758316, 0.02982967533171177, 0.04012260213494301, 0.02414064109325409, 0.032310642302036285, 0.007842378690838814, 0.10748420655727386, -0.009058519266545773, -0.06410501152276993, 0.0943535789847374, 0.08082631975412369, -0.042360614985227585, -0.0641704723238945, 0.05160265415906906, 0.03257862105965614, -0.0635470524430275, -0.047765135765075684, -0.06433401256799698, 0.0572688952088356, 0.05395838990807533, 0.007601562887430191, -0.01841270737349987, 0.03046044521033764, -0.01526500191539526, 0.13546542823314667, 0.0889144092798233, -0.02615334466099739, -0.08286473900079727, 0.09238675236701965, 0.08811071515083313, 0.048719391226768494, -0.03183561563491821, 0.015055251307785511, -0.003354846267029643, -0.07196377217769623, 0.012412557378411293, 0.07070353627204895, 0.01945716142654419, 0.03166544437408447, 0.04029061645269394, 0.01811417005956173, -0.0374569445848465, 0.01650090515613556, 0.06384860724210739, -0.013815286569297314, -0.02977249026298523, 0.000805925577878952, -0.07148909568786621, 0.08676158636808395, 0.029763592407107353, -0.0179323498159647, -0.09368002414703369, -0.06507128477096558, -0.005212705582380295, 0.016213612630963326, -0.051241662353277206, 0.07664401084184647, -0.061903659254312515, -0.03370305523276329, -0.059936512261629105, 0.058258168399333954, 0.032988134771585464, 0.07553185522556305, -0.005027175415307283, 0.008008409291505814, -0.06860911846160889, 0.06762712448835373, 0.056801434606313705, -0.03400149568915367, 0.007700405549257994, -0.03272881358861923, 0.04720833897590637, -0.07040746510028839, 0.04663202166557312, -0.02886071428656578, 0.09019701182842255, 0.03183440491557121, 0.09594439715147018, 0.04801299795508385, -0.03818880021572113, -4.0348670182766e-8, 0.0005467266892082989, 0.03303218260407448, 0.01864180713891983, 0.03699246421456337, 0.12650305032730103, 0.0023185815662145615, 0.048525385558605194, -0.007304353639483452, -0.05081209912896156, 0.09542064368724823, 0.016563815996050835, 0.032571882009506226, 0.04997963830828667, 0.015137717127799988, -0.06139090657234192, 0.05339128151535988, -0.047802116721868515, -0.034972261637449265, 0.0014903033152222633, 0.04189946502447128, -0.037811338901519775, -0.06387525796890259, -0.05110626295208931, 0.024981383234262466, -0.04706156253814697, -0.02394096739590168, -0.01839395798742771, -0.023607805371284485, -0.00019819611043203622, 0.08679661899805069, 0.010700986720621586, -0.01921278052031994, 0.12033059448003769, 0.08115033805370331, 0.028744874522089958, 0.06246541067957878, -0.0368865467607975, 0.017195923253893852, -0.04032101854681969, -0.04753263294696808, -0.022565940394997597, 0.045404091477394104, -0.06367210298776627, 0.031499702483415604, 0.025902587920427322, 0.0047070905566215515, 0.020494285970926285, -0.029901934787631035, -0.02514464408159256, -0.04911425709724426, -0.009636523202061653, 0.027413755655288696, -0.06541000306606293, -0.09323758631944656, 0.03827851265668869, 0.1059858649969101, -0.009471218101680279, -0.02450673095881939, -0.02509344555437565, 0.008313612081110477, -0.0831892341375351, 0.001996830338612199, 0.002026650821790099, 0.003097961889579892 ]
1402.0474
Maxime Amblard
Maxime Amblard (INRIA Nancy - Grand Est / LORIA), Christian Retor\'e (LaBRI)
Normalization and sub-formula property for Lambek with product and PCMLL -- Partially Commutative Multiplicative Linear Logic
null
null
null
null
cs.LO cs.FL
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper establishes the normalisation of natural deduction or lambda calculus formulation of Intuitionistic Non Commutative Logic --- which involves both commutative and non commutative connectives. This calculus first introduced by de Groote and as opposed to the classical version by Abrusci and Ruet admits a full entropy which allow order to be relaxed into any suborder. Our result also includes, as a special case, the normalisation of natural deduction the Lambek calculus with product, which is unsurprising but yet unproved. Regarding Intuitionistic Non Commutative Logic with full entropy does not have up to now a proof net syntax, and that for linguistic applications, sequent calculi which are only more or less equivalent to natural deduction, are not convenient because they lack the standard Curry-Howard isomorphism.
[ { "created": "Mon, 3 Feb 2014 19:25:58 GMT", "version": "v1" } ]
2014-02-04
[ [ "Amblard", "Maxime", "", "INRIA Nancy - Grand Est / LORIA" ], [ "Retoré", "Christian", "", "LaBRI" ] ]
[ -0.0034809447824954987, -0.010749327018857002, 0.03081428073346615, -0.04954639449715614, -0.044181812554597855, -0.03568270429968834, -0.0027739983052015305, -0.01670611836016178, 0.07665690034627914, 0.05486663058400154, 0.03253070265054703, -0.03311638534069061, 0.022122524678707123, 0.006495303008705378, 0.059010423719882965, 0.05405827611684799, -0.004626099020242691, 0.0781206488609314, -0.05616944283246994, -0.0468607060611248, -0.006892556324601173, 0.0396171435713768, -0.04899474233388901, 0.027837835252285004, -0.04645894840359688, -0.022115763276815414, -0.049821607768535614, 0.02229228988289833, 0.026746021583676338, 0.03749029338359833, -0.0768817663192749, 0.023349428549408913, -0.03855305537581444, 0.08832227438688278, 0.03663591295480728, -0.00011923462443519384, -0.024481287226080894, 0.04722989350557327, 0.008077668026089668, 0.055478718131780624, -0.022509567439556122, -0.02665790729224682, -0.08048748970031738, -0.005161206237971783, -0.031971823424100876, 0.04621371626853943, -0.01563810184597969, -0.05676557868719101, -0.08098991960287094, -0.03329161927103996, -0.05310318246483803, 0.10329461097717285, -0.05396368354558945, -0.03872917219996452, 0.07575670629739761, 0.01041591539978981, -0.0074101104401052, 0.017222503200173378, -0.0485910028219223, -0.11992587894201279, 0.011825147084891796, -0.011690347455441952, -0.08396082371473312, 0.015599200502038002, 0.012498602271080017, 0.008198477327823639, 0.018225466832518578, 0.06481818109750748, 0.039923809468746185, 0.10157345980405807, -0.05230480805039406, -0.016694867983460426, -0.04238510876893997, -0.03963015228509903, -0.028787611052393913, 0.017851272597908974, 0.130013570189476, 0.05096903070807457, -0.06704310327768326, 0.005246144253760576, -0.049928274005651474, 0.04931009188294411, 0.014743580482900143, 0.034240368753671646, 0.054061416536569595, 0.025038838386535645, 0.03933453559875488, -0.04761192202568054, -0.0053585246205329895, 0.02377435751259327, 0.0003537562151905149, -0.06991636753082275, 0.020507600158452988, 0.0105561763048172, 0.07852250337600708, 0.0035502503160387278, 0.007326783612370491, -0.034333355724811554, -0.026129400357604027, 0.07356341183185577, -0.02394183538854122, 0.05856854096055031, -0.008375379256904125, -0.08741874992847443, 0.041158463805913925, 0.02281053178012371, 0.019930951297283173, -0.04117191955447197, 0.052829716354608536, -0.04653087258338928, 0.023017538711428642, 0.013632277958095074, 0.05817371606826782, -0.04950254037976265, -0.11525973677635193, 0.01090905349701643, 0.009535632096230984, 0.030731497332453728, 0.09313789755105972, -0.09658445417881012, 0.030687058344483376, -0.00029327478841878474, 0.037920210510492325, 0.022432619705796242, 0.0683806985616684, -0.014505635015666485, 0.05108420178294182, 3.21880622234676e-33, 0.009072459302842617, 0.001893101492896676, 0.03140943869948387, -0.0427582785487175, 0.057140834629535675, 0.0731683000922203, -0.03171680495142937, -0.0545794777572155, -0.022243192419409752, 0.06922698765993118, 0.09553391486406326, 0.07378637790679932, -0.07324666529893875, -0.0001991765311686322, -0.0041826809756457806, 0.08438308537006378, 0.004899934865534306, -0.1106753721833229, 0.05855473875999451, 0.0028323051519691944, 0.0271108727902174, 0.048682548105716705, -0.05487041175365448, 0.037515729665756226, -0.04429508000612259, -0.030085623264312744, 0.05281578749418259, 0.004223676398396492, -0.037332333624362946, -0.0016914514126256108, -0.0528985857963562, -0.014171172864735126, 0.040093861520290375, 0.034215524792671204, -0.023015031591057777, 0.022426577284932137, -0.04930707439780235, -0.0807938277721405, 0.037470556795597076, 0.0020635700784623623, 0.03461405262351036, 0.03468726575374603, 0.002681873505935073, -0.001835770788602531, -0.034021325409412384, 0.03138323873281479, -0.08619151264429092, 0.062545046210289, 0.02119860239326954, -0.06561049818992615, 0.017580855637788773, 0.01103533711284399, 0.0680040568113327, -0.1214490681886673, 0.03568381071090698, -0.03316201642155647, -0.017496328800916672, 0.08654065430164337, -0.005678556859493256, 0.06591300666332245, -0.06552879512310028, 0.020819608122110367, 0.06729425489902496, -0.0356246642768383, -0.15523259341716766, -0.02487187832593918, -0.15034586191177368, -0.014218109659850597, 0.11294382065534592, -0.06701074540615082, -0.0517871230840683, 0.07643551379442215, -0.06438525021076202, 0.032369956374168396, 0.07650670409202576, -0.045937150716781616, -0.03788415715098381, -0.10962916910648346, 0.06946556270122528, -0.0023472595494240522, -0.0019479524344205856, 0.047806259244680405, 0.04553740844130516, 0.08537308871746063, 0.0902644619345665, -0.011236829683184624, -0.11289278417825699, 0.040832675993442535, -0.021141812205314636, 0.00048753380542621017, -0.04650282487273216, -0.036490995436906815, 0.05960584804415703, -0.028415463864803314, 0.05744699761271477, -4.948475262578722e-33, -0.0761416107416153, -0.035749562084674835, -0.07311679422855377, 0.01996917836368084, -0.049880798906087875, -0.07404455542564392, 0.04925965517759323, -0.04056509584188461, 0.003818110330030322, -0.03523145243525505, 0.024957893416285515, 0.046469174325466156, 0.040963366627693176, -0.052899233996868134, 0.06419472396373749, 0.05013228580355644, -0.0050592063926160336, -0.013113127090036869, 0.007737022824585438, -0.037829067558050156, 0.1000426635146141, 0.14305660128593445, -0.14346127212047577, 0.006679430138319731, 0.04001311585307121, 0.025973007082939148, -0.07575841248035431, 0.16220597922801971, 0.001333284773863852, -0.0354403480887413, -0.005501606967300177, -0.03040216863155365, -0.026689739897847176, -0.06639356166124344, -0.044288624078035355, -0.04559455066919327, -0.002668918576091528, 0.09794650226831436, -0.09320048987865448, 0.010234699584543705, -0.07119310647249222, -0.044406723231077194, 0.041667163372039795, -0.06636547297239304, 0.04425518959760666, 0.004971924237906933, -0.022539431229233742, -0.065226249396801, 0.023920759558677673, 0.011185628361999989, 0.03794509917497635, -0.04099460318684578, -0.021115217357873917, -0.025499852374196053, -0.03185523301362991, 0.06261877715587616, 0.025973064824938774, -0.058265116065740585, 0.010804771445691586, 0.011271628551185131, 0.02928723581135273, 0.03434750437736511, 0.06542929261922836, 0.021214710548520088, -0.02723609283566475, -0.019279010593891144, 0.010290308855473995, -0.006253120489418507, 0.030566895380616188, -0.13346387445926666, 0.007403722032904625, 0.010851394385099411, -0.1329687237739563, -0.04049902409315109, 0.03477003797888756, 0.040437787771224976, 0.04423851519823074, 0.047986987978219986, 0.04578160494565964, -0.0026489796582609415, -0.016543462872505188, -0.0334555022418499, 0.07456575334072113, 0.026922089979052544, 0.02405487932264805, -0.062416158616542816, 0.007047776132822037, -0.05216445028781891, 0.031730715185403824, 0.05565186217427254, 0.004014795180410147, -0.029288941994309425, 0.04413876309990883, 0.0469689778983593, -0.03777934983372688, -4.514029683377885e-8, 0.00747294444590807, -0.05383220314979553, -0.007400690112262964, 0.02595951408147812, -0.04968981072306633, -0.04375085234642029, -0.007916172035038471, 0.00397437484934926, -0.04614097997546196, -0.04005550593137741, 0.007170403841882944, 0.10573749244213104, -0.061535872519016266, -0.007586776744574308, 0.0016215551877394319, 0.08496922999620438, 0.005099204834550619, -0.045470964163541794, -0.0784546360373497, -0.011525239795446396, -0.033119525760412216, 0.028023870661854744, -0.05609273165464401, 0.047586839646101, 0.004069100134074688, -0.032721299678087234, 0.012463227845728397, 0.03369918465614319, 0.10878083109855652, -0.04664020985364914, -0.015853874385356903, 0.01871855929493904, 0.05011099576950073, 0.03447110578417778, -0.018117308616638184, 0.015062757767736912, -0.0662778839468956, 0.010210555046796799, -0.023275410756468773, -0.03606722876429558, 0.017710605636239052, -0.060621295124292374, 0.024231914430856705, 0.057265620678663254, 0.0241241492331028, -0.09606708586215973, 0.002585167298093438, -0.05501299351453781, -0.041045594960451126, 0.07057326287031174, 0.07642767578363419, 0.04978819936513901, -0.013620773330330849, 0.037793584167957306, -0.006556260399520397, 0.018948066979646683, -0.013009118847548962, -0.002739393850788474, -0.03594300523400307, 0.016277162358164787, 0.014994275756180286, 0.05050807073712349, 0.023338481783866882, -0.045149803161621094 ]
null
null
null
null
null
null
null
[ -0.0034809447824954987, -0.010749327018857002, 0.03081428073346615, -0.04954639449715614, -0.044181812554597855, -0.03568270429968834, -0.0027739983052015305, -0.01670611836016178, 0.07665690034627914, 0.05486663058400154, 0.03253070265054703, -0.03311638534069061, 0.022122524678707123, 0.006495303008705378, 0.059010423719882965, 0.05405827611684799, -0.004626099020242691, 0.0781206488609314, -0.05616944283246994, -0.0468607060611248, -0.006892556324601173, 0.0396171435713768, -0.04899474233388901, 0.027837835252285004, -0.04645894840359688, -0.022115763276815414, -0.049821607768535614, 0.02229228988289833, 0.026746021583676338, 0.03749029338359833, -0.0768817663192749, 0.023349428549408913, -0.03855305537581444, 0.08832227438688278, 0.03663591295480728, -0.00011923462443519384, -0.024481287226080894, 0.04722989350557327, 0.008077668026089668, 0.055478718131780624, -0.022509567439556122, -0.02665790729224682, -0.08048748970031738, -0.005161206237971783, -0.031971823424100876, 0.04621371626853943, -0.01563810184597969, -0.05676557868719101, -0.08098991960287094, -0.03329161927103996, -0.05310318246483803, 0.10329461097717285, -0.05396368354558945, -0.03872917219996452, 0.07575670629739761, 0.01041591539978981, -0.0074101104401052, 0.017222503200173378, -0.0485910028219223, -0.11992587894201279, 0.011825147084891796, -0.011690347455441952, -0.08396082371473312, 0.015599200502038002, 0.012498602271080017, 0.008198477327823639, 0.018225466832518578, 0.06481818109750748, 0.039923809468746185, 0.10157345980405807, -0.05230480805039406, -0.016694867983460426, -0.04238510876893997, -0.03963015228509903, -0.028787611052393913, 0.017851272597908974, 0.130013570189476, 0.05096903070807457, -0.06704310327768326, 0.005246144253760576, -0.049928274005651474, 0.04931009188294411, 0.014743580482900143, 0.034240368753671646, 0.054061416536569595, 0.025038838386535645, 0.03933453559875488, -0.04761192202568054, -0.0053585246205329895, 0.02377435751259327, 0.0003537562151905149, -0.06991636753082275, 0.020507600158452988, 0.0105561763048172, 0.07852250337600708, 0.0035502503160387278, 0.007326783612370491, -0.034333355724811554, -0.026129400357604027, 0.07356341183185577, -0.02394183538854122, 0.05856854096055031, -0.008375379256904125, -0.08741874992847443, 0.041158463805913925, 0.02281053178012371, 0.019930951297283173, -0.04117191955447197, 0.052829716354608536, -0.04653087258338928, 0.023017538711428642, 0.013632277958095074, 0.05817371606826782, -0.04950254037976265, -0.11525973677635193, 0.01090905349701643, 0.009535632096230984, 0.030731497332453728, 0.09313789755105972, -0.09658445417881012, 0.030687058344483376, -0.00029327478841878474, 0.037920210510492325, 0.022432619705796242, 0.0683806985616684, -0.014505635015666485, 0.05108420178294182, 3.21880622234676e-33, 0.009072459302842617, 0.001893101492896676, 0.03140943869948387, -0.0427582785487175, 0.057140834629535675, 0.0731683000922203, -0.03171680495142937, -0.0545794777572155, -0.022243192419409752, 0.06922698765993118, 0.09553391486406326, 0.07378637790679932, -0.07324666529893875, -0.0001991765311686322, -0.0041826809756457806, 0.08438308537006378, 0.004899934865534306, -0.1106753721833229, 0.05855473875999451, 0.0028323051519691944, 0.0271108727902174, 0.048682548105716705, -0.05487041175365448, 0.037515729665756226, -0.04429508000612259, -0.030085623264312744, 0.05281578749418259, 0.004223676398396492, -0.037332333624362946, -0.0016914514126256108, -0.0528985857963562, -0.014171172864735126, 0.040093861520290375, 0.034215524792671204, -0.023015031591057777, 0.022426577284932137, -0.04930707439780235, -0.0807938277721405, 0.037470556795597076, 0.0020635700784623623, 0.03461405262351036, 0.03468726575374603, 0.002681873505935073, -0.001835770788602531, -0.034021325409412384, 0.03138323873281479, -0.08619151264429092, 0.062545046210289, 0.02119860239326954, -0.06561049818992615, 0.017580855637788773, 0.01103533711284399, 0.0680040568113327, -0.1214490681886673, 0.03568381071090698, -0.03316201642155647, -0.017496328800916672, 0.08654065430164337, -0.005678556859493256, 0.06591300666332245, -0.06552879512310028, 0.020819608122110367, 0.06729425489902496, -0.0356246642768383, -0.15523259341716766, -0.02487187832593918, -0.15034586191177368, -0.014218109659850597, 0.11294382065534592, -0.06701074540615082, -0.0517871230840683, 0.07643551379442215, -0.06438525021076202, 0.032369956374168396, 0.07650670409202576, -0.045937150716781616, -0.03788415715098381, -0.10962916910648346, 0.06946556270122528, -0.0023472595494240522, -0.0019479524344205856, 0.047806259244680405, 0.04553740844130516, 0.08537308871746063, 0.0902644619345665, -0.011236829683184624, -0.11289278417825699, 0.040832675993442535, -0.021141812205314636, 0.00048753380542621017, -0.04650282487273216, -0.036490995436906815, 0.05960584804415703, -0.028415463864803314, 0.05744699761271477, -4.948475262578722e-33, -0.0761416107416153, -0.035749562084674835, -0.07311679422855377, 0.01996917836368084, -0.049880798906087875, -0.07404455542564392, 0.04925965517759323, -0.04056509584188461, 0.003818110330030322, -0.03523145243525505, 0.024957893416285515, 0.046469174325466156, 0.040963366627693176, -0.052899233996868134, 0.06419472396373749, 0.05013228580355644, -0.0050592063926160336, -0.013113127090036869, 0.007737022824585438, -0.037829067558050156, 0.1000426635146141, 0.14305660128593445, -0.14346127212047577, 0.006679430138319731, 0.04001311585307121, 0.025973007082939148, -0.07575841248035431, 0.16220597922801971, 0.001333284773863852, -0.0354403480887413, -0.005501606967300177, -0.03040216863155365, -0.026689739897847176, -0.06639356166124344, -0.044288624078035355, -0.04559455066919327, -0.002668918576091528, 0.09794650226831436, -0.09320048987865448, 0.010234699584543705, -0.07119310647249222, -0.044406723231077194, 0.041667163372039795, -0.06636547297239304, 0.04425518959760666, 0.004971924237906933, -0.022539431229233742, -0.065226249396801, 0.023920759558677673, 0.011185628361999989, 0.03794509917497635, -0.04099460318684578, -0.021115217357873917, -0.025499852374196053, -0.03185523301362991, 0.06261877715587616, 0.025973064824938774, -0.058265116065740585, 0.010804771445691586, 0.011271628551185131, 0.02928723581135273, 0.03434750437736511, 0.06542929261922836, 0.021214710548520088, -0.02723609283566475, -0.019279010593891144, 0.010290308855473995, -0.006253120489418507, 0.030566895380616188, -0.13346387445926666, 0.007403722032904625, 0.010851394385099411, -0.1329687237739563, -0.04049902409315109, 0.03477003797888756, 0.040437787771224976, 0.04423851519823074, 0.047986987978219986, 0.04578160494565964, -0.0026489796582609415, -0.016543462872505188, -0.0334555022418499, 0.07456575334072113, 0.026922089979052544, 0.02405487932264805, -0.062416158616542816, 0.007047776132822037, -0.05216445028781891, 0.031730715185403824, 0.05565186217427254, 0.004014795180410147, -0.029288941994309425, 0.04413876309990883, 0.0469689778983593, -0.03777934983372688, -4.514029683377885e-8, 0.00747294444590807, -0.05383220314979553, -0.007400690112262964, 0.02595951408147812, -0.04968981072306633, -0.04375085234642029, -0.007916172035038471, 0.00397437484934926, -0.04614097997546196, -0.04005550593137741, 0.007170403841882944, 0.10573749244213104, -0.061535872519016266, -0.007586776744574308, 0.0016215551877394319, 0.08496922999620438, 0.005099204834550619, -0.045470964163541794, -0.0784546360373497, -0.011525239795446396, -0.033119525760412216, 0.028023870661854744, -0.05609273165464401, 0.047586839646101, 0.004069100134074688, -0.032721299678087234, 0.012463227845728397, 0.03369918465614319, 0.10878083109855652, -0.04664020985364914, -0.015853874385356903, 0.01871855929493904, 0.05011099576950073, 0.03447110578417778, -0.018117308616638184, 0.015062757767736912, -0.0662778839468956, 0.010210555046796799, -0.023275410756468773, -0.03606722876429558, 0.017710605636239052, -0.060621295124292374, 0.024231914430856705, 0.057265620678663254, 0.0241241492331028, -0.09606708586215973, 0.002585167298093438, -0.05501299351453781, -0.041045594960451126, 0.07057326287031174, 0.07642767578363419, 0.04978819936513901, -0.013620773330330849, 0.037793584167957306, -0.006556260399520397, 0.018948066979646683, -0.013009118847548962, -0.002739393850788474, -0.03594300523400307, 0.016277162358164787, 0.014994275756180286, 0.05050807073712349, 0.023338481783866882, -0.045149803161621094 ]
1402.0476
Christophe Jouvet
Martin Weiler, Mitsuhiko Miyazaki, G\'eraldine F\'eraud (PIIM), Shun-Ichi Ishiuchi, Claude Dedonder (PIIM), Christophe Jouvet (PIIM), Masaaki Fujii
Unusual behavior in the first excited state lifetime of catechol
null
Journal of Physical Chemistry Letters 4 (22), 22 (2013) 3819
10.1021/jz402089m
null
physics.atm-clus physics.chem-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We are presenting vibrationally selective pump-probe measurements of the first electronic excited-state (pp*) lifetime of jet-cooled neutral catechol (1,2-dihydroxybenzene). The lifetime of the 0-0 transition is very short (7 ps) as rationalized by the small pp*/psigma* gap calculated. However the lifetimes implying higher out-of-plane vibrational levels are longer (~11 ps). This emphasizes the role of the out-of-plane vibration in the pp*/psigma* coupling not only in its nature but also in the number of quanta
[ { "created": "Mon, 3 Feb 2014 19:28:32 GMT", "version": "v1" } ]
2014-02-04
[ [ "Weiler", "Martin", "", "PIIM" ], [ "Miyazaki", "Mitsuhiko", "", "PIIM" ], [ "Féraud", "Géraldine", "", "PIIM" ], [ "Ishiuchi", "Shun-Ichi", "", "PIIM" ], [ "Dedonder", "Claude", "", "PIIM" ], [ "Jouvet", "Christophe", "", "PIIM" ], [ "Fujii", "Masaaki", "" ] ]
[ -0.02744941972196102, -0.043490566313266754, -0.0012199855409562588, 0.012780965305864811, -0.015454239211976528, -0.020252946764230728, 0.0002732356952037662, 0.07132688164710999, 0.06551108509302139, -0.005475356709212065, 0.05706607177853584, -0.031261492520570755, -0.08235776424407959, -0.04025536775588989, 0.00801828969269991, 0.09116870909929276, 0.029350418597459793, -0.07085156440734863, -0.034459926187992096, 0.027857445180416107, -0.012256024405360222, -0.09043422341346741, 0.038401611149311066, -0.03768237680196762, -0.0026377146132290363, 0.0638117864727974, 0.03268896043300629, 0.024848144501447678, 0.031410232186317444, 0.026193562895059586, 0.08712869137525558, -0.003691541962325573, -0.0948871374130249, 0.05625965818762779, 0.04171127825975418, -0.017539484426379204, 0.03264938294887543, -0.09124863147735596, 0.04964485391974449, -0.005266366060823202, -0.006558189634233713, -0.018582599237561226, -0.026490364223718643, 0.01070464588701725, 0.06738235801458359, -0.04245506972074509, -0.021259715780615807, -0.020726898685097694, -0.0129272835329175, -0.05852720886468887, 0.06064162030816078, -0.035879071801900864, 0.11158338189125061, 0.00907896738499403, -0.04634842649102211, 0.10875704884529114, 0.09540973603725433, 0.045845240354537964, -0.0730481743812561, -0.013142481446266174, -0.05990903452038765, 0.04207475483417511, -0.030809812247753143, 0.0002341324434382841, 0.02823721431195736, -0.02318161353468895, 0.10044033825397491, -0.006912413518875837, 0.11201512068510056, 0.01980510540306568, -0.09062618017196655, -0.015433339402079582, 0.0448811911046505, -0.0005013857153244317, 0.022382274270057678, -0.003521200269460678, 0.02382255159318447, 0.027949634939432144, 0.03603433817625046, -0.10851942002773285, -0.012868513353168964, -0.0677797794342041, -0.012581686489284039, -0.06148311495780945, -0.021121911704540253, 0.0863584354519844, -0.0019843243062496185, -0.02698781155049801, -0.007984557189047337, 0.03716755658388138, -0.07624023407697678, -0.014822793193161488, -0.023034198209643364, -0.006891278550028801, 0.0034502223134040833, 0.05159736052155495, 0.025101186707615852, 0.03599684312939644, 0.06358896195888519, -0.002585727721452713, 0.03378340229392052, 0.07236967980861664, -0.0019086783286184072, 0.01362662110477686, -0.10042774677276611, 0.03137750178575516, 0.047701869159936905, 0.03059743344783783, 0.015970122069120407, -0.02389189973473549, -0.04542466625571251, -0.05782008171081543, 0.05475720018148422, -0.049966961145401, -0.044691458344459534, -0.01846679300069809, -0.036190200597047806, 0.05961540341377258, 0.00018704879039432853, -0.07498791068792343, -0.049007266759872437, -0.0019848598167300224, -0.08648328483104706, 0.014784572646021843, -0.07850430905818939, 0.003984237555414438, -0.02341112494468689, -8.122804865369946e-35, 0.035436250269412994, -0.05287519842386246, 0.0010404814966022968, -0.028753874823451042, -0.07350901514291763, 0.005688956007361412, -0.024727821350097656, -0.04529153183102608, -0.09279786050319672, 0.04807102307677269, -0.04381485655903816, -0.003576593939214945, 0.020360896363854408, -0.10339117050170898, -0.01739552617073059, -0.00509156147018075, 0.009144246578216553, 0.006489406805485487, 0.010907850228250027, -0.05285464599728584, 0.028529789298772812, -0.009644492529332638, 0.03687063232064247, -0.0015009576454758644, 0.023867981508374214, 0.022866487503051758, 0.019900990650057793, 0.043051883578300476, -0.08450482785701752, -0.07031457126140594, -0.012274893932044506, 0.06529193371534348, -0.08779032528400421, 0.008713597431778908, 0.016669047996401787, -0.06817885488271713, 0.0673334151506424, 0.020672298967838287, 0.09304654598236084, -0.00842700619250536, -0.03008504956960678, -0.007566561456769705, 0.05871617794036865, 0.06805410236120224, -0.02381366863846779, -0.01728805899620056, -0.007657932583242655, -0.006141006946563721, 0.051560189574956894, -0.07747241109609604, 0.037953831255435944, -0.035070694983005524, -0.037366174161434174, 0.09456459432840347, 0.029186168685555458, -0.06583983451128006, 0.06358134001493454, -0.0772152692079544, 0.06618994474411011, 0.017064722254872322, -0.026033632457256317, 0.0007357839494943619, 0.02244589664041996, -0.0915030688047409, -0.004905770067125559, 0.12357856333255768, -0.09174131602048874, 0.05513662099838257, 0.02804502658545971, 0.07514098286628723, 0.0008502501877956092, 0.06579700857400894, 0.050281133502721786, -0.09476730227470398, 0.16505615413188934, -0.020166438072919846, 0.010253689251840115, -0.06540249288082123, 0.0389595702290535, 0.016458213329315186, 0.043421030044555664, -0.05043280869722366, -0.031910400837659836, 0.03986728563904762, -0.06090053543448448, -0.022642599418759346, -0.008222567848861217, -0.09468203037977219, -0.06935612857341766, 0.07647231966257095, -0.057111579924821854, -0.013253103010356426, 0.033251143991947174, -0.044820353388786316, 0.007037185598164797, -2.8517096221605292e-33, 0.044541459530591965, 0.07731395959854126, -0.020355157554149628, 0.020914698019623756, 0.033266909420490265, 0.013036155141890049, -0.010311847552657127, 0.04969843477010727, -0.0393611378967762, -0.006425607483834028, 0.10431873053312302, -0.009101404808461666, 0.020075546577572823, -0.007827038876712322, -0.07108135521411896, 0.08133026957511902, -0.10302060097455978, -0.03897268697619438, 0.08832556754350662, 0.0025126102846115828, 0.0560644268989563, 0.023078011348843575, -0.05119236558675766, 0.06943675130605698, -0.039935555309057236, 0.021359875798225403, 0.0006216812180355191, -0.041174910962581635, 0.07955288887023926, -0.0035208091139793396, 0.055780310183763504, 0.013047043234109879, 0.005272132810205221, -0.008174672722816467, -0.00006535309512401, 0.04083356261253357, -0.018011707812547684, 0.05069538578391075, -0.0038863462395966053, 0.040562860667705536, -0.040360115468502045, 0.03912794589996338, -0.0010344377951696515, 0.012398350052535534, -0.020033758133649826, 0.06533440947532654, -0.069619320333004, -0.06835109740495682, -0.06937123835086823, -0.044730883091688156, -0.0069026644341647625, 0.05230826511979103, -0.0003900641459040344, 0.030664080753922462, 0.03868642821907997, 0.01211355160921812, -0.03326647728681564, 0.014275485649704933, 0.006706735584884882, -0.03938101604580879, -0.011785331182181835, -0.06910183280706406, 0.059778351336717606, 0.026159798726439476, -0.044452935457229614, 0.018987681716680527, 0.07738135010004044, 0.10182822495698929, 0.08235642313957214, -0.04891686141490936, 0.07791990041732788, 0.047780025750398636, 0.022591475397348404, -0.015927011147141457, -0.06535829603672028, -0.015823131427168846, 0.03591792285442352, -0.08577637374401093, 0.05498403683304787, -0.002131299115717411, 0.07138484716415405, 0.015358354896306992, -0.0522492453455925, -0.12299846112728119, 0.005285743623971939, -0.07133957743644714, 0.006549003999680281, -0.01918632909655571, -0.01402975432574749, 0.009518281556665897, 0.09179232269525528, 0.005974952597171068, 0.03300540894269943, -0.04335866868495941, 0.10353945940732956, -4.6595033609264647e-8, -0.011139250360429287, 0.04144018515944481, 0.012234430760145187, 0.03451157733798027, 0.04403029754757881, 0.010454777628183365, 0.05368312448263168, -0.018687235191464424, -0.009205296635627747, 0.015217571519315243, 0.04208832606673241, -0.037560392171144485, 0.02828105352818966, 0.009781881235539913, 0.030523229390382767, -0.0016133430181071162, -0.03292884677648544, 0.02794566936790943, 0.027139775454998016, 0.014714136719703674, -0.03226010128855705, 0.022590942680835724, -0.07863738387823105, -0.10116159170866013, -0.010700379498302937, -0.05918287858366966, -0.004849547054618597, -0.034807898104190826, -0.013566448353230953, -0.020898116752505302, -0.08170098066329956, 0.004456591792404652, 0.05140092596411705, -0.004452436231076717, 0.04333726689219475, 0.0303544532507658, -0.11831391602754593, -0.013159566558897495, -0.037016693502664566, -0.04362199082970619, -0.08642768114805222, -0.028561914339661598, -0.04869934171438217, 0.03339272737503052, -0.04627072438597679, -0.05479414016008377, 0.06668637692928314, -0.007437210064381361, -0.04262816905975342, 0.05850819870829582, 0.08012303709983826, 0.033659640699625015, -0.010151512920856476, -0.0753282830119133, -0.1155540868639946, 0.04288556054234505, -0.12715084850788116, 0.1198946014046669, -0.07201322913169861, -0.05738307908177376, 0.024204418063163757, -0.12626288831233978, -0.07814371585845947, -0.04810610041022301 ]
null
null
null
null
null
null
null
[ -0.02744941972196102, -0.043490566313266754, -0.0012199855409562588, 0.012780965305864811, -0.015454239211976528, -0.020252946764230728, 0.0002732356952037662, 0.07132688164710999, 0.06551108509302139, -0.005475356709212065, 0.05706607177853584, -0.031261492520570755, -0.08235776424407959, -0.04025536775588989, 0.00801828969269991, 0.09116870909929276, 0.029350418597459793, -0.07085156440734863, -0.034459926187992096, 0.027857445180416107, -0.012256024405360222, -0.09043422341346741, 0.038401611149311066, -0.03768237680196762, -0.0026377146132290363, 0.0638117864727974, 0.03268896043300629, 0.024848144501447678, 0.031410232186317444, 0.026193562895059586, 0.08712869137525558, -0.003691541962325573, -0.0948871374130249, 0.05625965818762779, 0.04171127825975418, -0.017539484426379204, 0.03264938294887543, -0.09124863147735596, 0.04964485391974449, -0.005266366060823202, -0.006558189634233713, -0.018582599237561226, -0.026490364223718643, 0.01070464588701725, 0.06738235801458359, -0.04245506972074509, -0.021259715780615807, -0.020726898685097694, -0.0129272835329175, -0.05852720886468887, 0.06064162030816078, -0.035879071801900864, 0.11158338189125061, 0.00907896738499403, -0.04634842649102211, 0.10875704884529114, 0.09540973603725433, 0.045845240354537964, -0.0730481743812561, -0.013142481446266174, -0.05990903452038765, 0.04207475483417511, -0.030809812247753143, 0.0002341324434382841, 0.02823721431195736, -0.02318161353468895, 0.10044033825397491, -0.006912413518875837, 0.11201512068510056, 0.01980510540306568, -0.09062618017196655, -0.015433339402079582, 0.0448811911046505, -0.0005013857153244317, 0.022382274270057678, -0.003521200269460678, 0.02382255159318447, 0.027949634939432144, 0.03603433817625046, -0.10851942002773285, -0.012868513353168964, -0.0677797794342041, -0.012581686489284039, -0.06148311495780945, -0.021121911704540253, 0.0863584354519844, -0.0019843243062496185, -0.02698781155049801, -0.007984557189047337, 0.03716755658388138, -0.07624023407697678, -0.014822793193161488, -0.023034198209643364, -0.006891278550028801, 0.0034502223134040833, 0.05159736052155495, 0.025101186707615852, 0.03599684312939644, 0.06358896195888519, -0.002585727721452713, 0.03378340229392052, 0.07236967980861664, -0.0019086783286184072, 0.01362662110477686, -0.10042774677276611, 0.03137750178575516, 0.047701869159936905, 0.03059743344783783, 0.015970122069120407, -0.02389189973473549, -0.04542466625571251, -0.05782008171081543, 0.05475720018148422, -0.049966961145401, -0.044691458344459534, -0.01846679300069809, -0.036190200597047806, 0.05961540341377258, 0.00018704879039432853, -0.07498791068792343, -0.049007266759872437, -0.0019848598167300224, -0.08648328483104706, 0.014784572646021843, -0.07850430905818939, 0.003984237555414438, -0.02341112494468689, -8.122804865369946e-35, 0.035436250269412994, -0.05287519842386246, 0.0010404814966022968, -0.028753874823451042, -0.07350901514291763, 0.005688956007361412, -0.024727821350097656, -0.04529153183102608, -0.09279786050319672, 0.04807102307677269, -0.04381485655903816, -0.003576593939214945, 0.020360896363854408, -0.10339117050170898, -0.01739552617073059, -0.00509156147018075, 0.009144246578216553, 0.006489406805485487, 0.010907850228250027, -0.05285464599728584, 0.028529789298772812, -0.009644492529332638, 0.03687063232064247, -0.0015009576454758644, 0.023867981508374214, 0.022866487503051758, 0.019900990650057793, 0.043051883578300476, -0.08450482785701752, -0.07031457126140594, -0.012274893932044506, 0.06529193371534348, -0.08779032528400421, 0.008713597431778908, 0.016669047996401787, -0.06817885488271713, 0.0673334151506424, 0.020672298967838287, 0.09304654598236084, -0.00842700619250536, -0.03008504956960678, -0.007566561456769705, 0.05871617794036865, 0.06805410236120224, -0.02381366863846779, -0.01728805899620056, -0.007657932583242655, -0.006141006946563721, 0.051560189574956894, -0.07747241109609604, 0.037953831255435944, -0.035070694983005524, -0.037366174161434174, 0.09456459432840347, 0.029186168685555458, -0.06583983451128006, 0.06358134001493454, -0.0772152692079544, 0.06618994474411011, 0.017064722254872322, -0.026033632457256317, 0.0007357839494943619, 0.02244589664041996, -0.0915030688047409, -0.004905770067125559, 0.12357856333255768, -0.09174131602048874, 0.05513662099838257, 0.02804502658545971, 0.07514098286628723, 0.0008502501877956092, 0.06579700857400894, 0.050281133502721786, -0.09476730227470398, 0.16505615413188934, -0.020166438072919846, 0.010253689251840115, -0.06540249288082123, 0.0389595702290535, 0.016458213329315186, 0.043421030044555664, -0.05043280869722366, -0.031910400837659836, 0.03986728563904762, -0.06090053543448448, -0.022642599418759346, -0.008222567848861217, -0.09468203037977219, -0.06935612857341766, 0.07647231966257095, -0.057111579924821854, -0.013253103010356426, 0.033251143991947174, -0.044820353388786316, 0.007037185598164797, -2.8517096221605292e-33, 0.044541459530591965, 0.07731395959854126, -0.020355157554149628, 0.020914698019623756, 0.033266909420490265, 0.013036155141890049, -0.010311847552657127, 0.04969843477010727, -0.0393611378967762, -0.006425607483834028, 0.10431873053312302, -0.009101404808461666, 0.020075546577572823, -0.007827038876712322, -0.07108135521411896, 0.08133026957511902, -0.10302060097455978, -0.03897268697619438, 0.08832556754350662, 0.0025126102846115828, 0.0560644268989563, 0.023078011348843575, -0.05119236558675766, 0.06943675130605698, -0.039935555309057236, 0.021359875798225403, 0.0006216812180355191, -0.041174910962581635, 0.07955288887023926, -0.0035208091139793396, 0.055780310183763504, 0.013047043234109879, 0.005272132810205221, -0.008174672722816467, -0.00006535309512401, 0.04083356261253357, -0.018011707812547684, 0.05069538578391075, -0.0038863462395966053, 0.040562860667705536, -0.040360115468502045, 0.03912794589996338, -0.0010344377951696515, 0.012398350052535534, -0.020033758133649826, 0.06533440947532654, -0.069619320333004, -0.06835109740495682, -0.06937123835086823, -0.044730883091688156, -0.0069026644341647625, 0.05230826511979103, -0.0003900641459040344, 0.030664080753922462, 0.03868642821907997, 0.01211355160921812, -0.03326647728681564, 0.014275485649704933, 0.006706735584884882, -0.03938101604580879, -0.011785331182181835, -0.06910183280706406, 0.059778351336717606, 0.026159798726439476, -0.044452935457229614, 0.018987681716680527, 0.07738135010004044, 0.10182822495698929, 0.08235642313957214, -0.04891686141490936, 0.07791990041732788, 0.047780025750398636, 0.022591475397348404, -0.015927011147141457, -0.06535829603672028, -0.015823131427168846, 0.03591792285442352, -0.08577637374401093, 0.05498403683304787, -0.002131299115717411, 0.07138484716415405, 0.015358354896306992, -0.0522492453455925, -0.12299846112728119, 0.005285743623971939, -0.07133957743644714, 0.006549003999680281, -0.01918632909655571, -0.01402975432574749, 0.009518281556665897, 0.09179232269525528, 0.005974952597171068, 0.03300540894269943, -0.04335866868495941, 0.10353945940732956, -4.6595033609264647e-8, -0.011139250360429287, 0.04144018515944481, 0.012234430760145187, 0.03451157733798027, 0.04403029754757881, 0.010454777628183365, 0.05368312448263168, -0.018687235191464424, -0.009205296635627747, 0.015217571519315243, 0.04208832606673241, -0.037560392171144485, 0.02828105352818966, 0.009781881235539913, 0.030523229390382767, -0.0016133430181071162, -0.03292884677648544, 0.02794566936790943, 0.027139775454998016, 0.014714136719703674, -0.03226010128855705, 0.022590942680835724, -0.07863738387823105, -0.10116159170866013, -0.010700379498302937, -0.05918287858366966, -0.004849547054618597, -0.034807898104190826, -0.013566448353230953, -0.020898116752505302, -0.08170098066329956, 0.004456591792404652, 0.05140092596411705, -0.004452436231076717, 0.04333726689219475, 0.0303544532507658, -0.11831391602754593, -0.013159566558897495, -0.037016693502664566, -0.04362199082970619, -0.08642768114805222, -0.028561914339661598, -0.04869934171438217, 0.03339272737503052, -0.04627072438597679, -0.05479414016008377, 0.06668637692928314, -0.007437210064381361, -0.04262816905975342, 0.05850819870829582, 0.08012303709983826, 0.033659640699625015, -0.010151512920856476, -0.0753282830119133, -0.1155540868639946, 0.04288556054234505, -0.12715084850788116, 0.1198946014046669, -0.07201322913169861, -0.05738307908177376, 0.024204418063163757, -0.12626288831233978, -0.07814371585845947, -0.04810610041022301 ]
1402.0480
Diederik P Kingma M.Sc.
Diederik P. Kingma, Max Welling
Efficient Gradient-Based Inference through Transformations between Bayes Nets and Neural Nets
null
Proceedings of The 31st International Conference on Machine Learning, pp. 1782-1790, 2014
null
null
cs.LG stat.ML
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Hierarchical Bayesian networks and neural networks with stochastic hidden units are commonly perceived as two separate types of models. We show that either of these types of models can often be transformed into an instance of the other, by switching between centered and differentiable non-centered parameterizations of the latent variables. The choice of parameterization greatly influences the efficiency of gradient-based posterior inference; we show that they are often complementary to eachother, we clarify when each parameterization is preferred and show how inference can be made robust. In the non-centered form, a simple Monte Carlo estimator of the marginal likelihood can be used for learning the parameters. Theoretical results are supported by experiments.
[ { "created": "Mon, 3 Feb 2014 19:39:20 GMT", "version": "v1" }, { "created": "Mon, 3 Mar 2014 13:56:26 GMT", "version": "v2" }, { "created": "Tue, 13 May 2014 11:17:41 GMT", "version": "v3" }, { "created": "Mon, 16 Jun 2014 09:04:26 GMT", "version": "v4" }, { "created": "Thu, 22 Jan 2015 11:05:53 GMT", "version": "v5" } ]
2015-01-23
[ [ "Kingma", "Diederik P.", "" ], [ "Welling", "Max", "" ] ]
[ -0.027609433978796005, -0.1626521795988083, 0.023221561685204506, 0.031295377761125565, 0.019745783880352974, 0.055438682436943054, -0.019615447148680687, -0.05565271154046059, 0.053121600300073624, -0.06930059939622879, 0.06114782765507698, 0.046159423887729645, 0.04047233611345291, 0.016076205298304558, -0.06337691843509674, -0.039937734603881836, 0.06523683667182922, 0.09718340635299683, -0.06469091027975082, -0.06811767816543579, -0.03849561884999275, 0.06562814861536026, 0.0028568324632942677, -0.04981440305709839, 0.013328413479030132, 0.030229980126023293, 0.0668322890996933, 0.042508289217948914, -0.08529132604598999, 0.005228440277278423, 0.03990345075726509, -0.04569188132882118, -0.017134081572294235, -0.03198743984103203, 0.053142715245485306, -0.0157000869512558, 0.0026036433409899473, -0.0005588157218880951, -0.04001634567975998, 0.06270981580018997, -0.007142547518014908, 0.02429618127644062, 0.038072600960731506, 0.00429182406514883, 0.08813230693340302, -0.022397546097636223, 0.005442861933261156, -0.05014301463961601, 0.023706145584583282, 0.030281882733106613, 0.008666686713695526, -0.06031960994005203, -0.028859488666057587, 0.02945561520755291, 0.05138140544295311, -0.007782444357872009, -0.04068031907081604, -0.00011672125401673838, 0.010531848296523094, 0.03236863389611244, -0.040574029088020325, -0.03135641664266586, -0.024156954139471054, -0.0268370620906353, 0.04047027602791786, 0.050646521151065826, -0.025977978482842445, 0.010587580502033234, 0.04042311757802963, 0.07632812857627869, 0.008716125972568989, 0.06117818504571915, -0.07216325402259827, -0.004520706366747618, -0.046071697026491165, -0.004262743517756462, 0.051138050854206085, -0.026942623779177666, 0.03535128012299538, -0.09482633322477341, -0.025068219751119614, 0.01820305362343788, -0.002118242671713233, 0.0185905359685421, 0.0681479275226593, 0.006100050173699856, -0.05180082842707634, 0.05066078528761864, -0.03133544325828552, 0.007428263314068317, -0.038378044962882996, -0.009122352115809917, -0.05837726965546608, -0.0763455256819725, -0.050429537892341614, 0.007187971845269203, 0.04343023896217346, -0.10062646120786667, -0.057643115520477295, 0.07280048727989197, 0.024080878123641014, 0.05416620522737503, 0.11839433014392853, 0.03449328988790512, 0.007943383418023586, -0.020545490086078644, 0.07828973978757858, 0.06025739014148712, 0.045640863478183746, -0.05474892631173134, -0.06667767465114594, 0.02413889206945896, -0.04479390010237694, -0.025081977248191833, -0.049090493470430374, -0.07155529409646988, 0.13885952532291412, -0.06906002759933472, -0.017953768372535706, 0.023216908797621727, -0.02296125888824463, 0.012120767496526241, 0.0011684083146974444, -0.01678505539894104, 0.004748994018882513, 0.0323074609041214, -0.12272832542657852, 6.244242154615315e-33, 0.025961438193917274, -0.04752508923411369, 0.0650174543261528, 0.06710682064294815, -0.053396470844745636, 0.017260918393731117, -0.020353196188807487, -0.028993671759963036, 0.09210019558668137, -0.022028977051377296, -0.05414522439241409, 0.022663772106170654, -0.11738859862089157, -0.005912022199481726, 0.0582558698952198, 0.023516157642006874, -0.01731760986149311, 0.12057572603225708, -0.0031977249309420586, -0.02108610048890114, -0.01421635877341032, 0.06114382669329643, 0.015138596296310425, -0.016505597159266472, 0.0017523959977552295, -0.007932756096124649, 0.019017605111002922, -0.029099557548761368, -0.06924767792224884, 0.013195456936955452, -0.03645956888794899, 0.020178353413939476, -0.07138341665267944, -0.019240010529756546, -0.040917862206697464, 0.003232188057154417, 0.015484525822103024, -0.0174200888723135, 0.056609146296978, -0.023338135331869125, -0.019078649580478668, -0.06761804968118668, 0.1009082943201065, 0.006082574371248484, -0.06466829031705856, -0.045895766466856, 0.04317988082766533, -0.08414718508720398, 0.0360463447868824, -0.05903056636452675, 0.004788165912032127, 0.04368824139237404, 0.05068967491388321, -0.11065208911895752, -0.007399980444461107, 0.04193757846951485, 0.05246172845363617, 0.04628603905439377, -0.028679298236966133, -0.03540434688329697, -0.0061958422884345055, 0.03899764642119408, -0.009615704417228699, -0.02207423746585846, 0.030194206163287163, 0.06504520028829575, -0.06337706744670868, 0.09831283986568451, 0.06723760068416595, 0.019136501476168633, 0.016716470941901207, 0.036673713475465775, -0.032665934413671494, -0.07325325906276703, 0.013696901500225067, 0.06947340816259384, -0.05228303372859955, -0.03337208554148674, 0.04052535444498062, -0.018655113875865936, -0.06351781636476517, -0.040511373430490494, -0.036124031990766525, 0.03958892449736595, 0.014781146310269833, 0.020108718425035477, 0.0783066377043724, -0.017091922461986542, -0.04911121353507042, 0.028952307999134064, -0.09006638079881668, -0.05614398419857025, 0.026015393435955048, 0.006968888454139233, -0.015889981761574745, -7.254844035376006e-33, -0.16262517869472504, 0.05212981998920441, 0.00593903474509716, 0.018759313970804214, -0.025952370837330818, -0.017393996939063072, -0.049831241369247437, 0.0007240645354613662, -0.01597091369330883, 0.008827012032270432, -0.04615258425474167, 0.015993118286132812, -0.06302512437105179, -0.08329830318689346, 0.04448755085468292, 0.0446380116045475, -0.033029988408088684, 0.07408565282821655, 0.0372806116938591, -0.09879700094461441, 0.01389685645699501, 0.06098258122801781, -0.019589636474847794, 0.0010738855926319957, -0.07615341246128082, -0.04161595553159714, -0.05006716027855873, 0.10683433711528778, -0.0023409915156662464, 0.037011850625276566, -0.039860401302576065, 0.007323930040001869, -0.0319458544254303, 0.02846316061913967, -0.07887288182973862, 0.05159718543291092, -0.05380883440375328, 0.041215136647224426, -0.013082599267363548, -0.02725943736732006, -0.004262572154402733, 0.00526769645512104, -0.0873221829533577, -0.06536906957626343, 0.030076567083597183, 0.02231043018400669, 0.04608625918626785, 0.006106440909206867, 0.01897004246711731, 0.05370830371975899, -0.01866862364113331, 0.07540040463209152, -0.029249444603919983, 0.020238680765032768, -0.128819540143013, 0.026638340204954147, -0.004575507249683142, -0.07913494110107422, 0.09748588502407074, 0.06636670976877213, -0.03214127570390701, -0.06825535744428635, -0.004958005156368017, -0.009708152152597904, -0.06986213475465775, -0.023776788264513016, 0.0007454101578332484, 0.05373375117778778, 0.04768860712647438, -0.017532188445329666, -0.0027144248597323895, -0.017535371705889702, 0.07505881041288376, 0.04431900382041931, 0.01927237957715988, -0.05391250178217888, -0.01503558736294508, -0.0008465872961096466, 0.008196815848350525, -0.0650358572602272, 0.08978118747472763, -0.080075703561306, 0.005921784322708845, 0.005153079051524401, 0.0890594869852066, 0.041342414915561676, 0.02262679673731327, -0.06380040943622589, 0.0889921560883522, -0.031222736462950706, 0.0142240971326828, 0.0371074415743351, -0.011306152679026127, -0.02384589985013008, -0.16541999578475952, -4.873574610542164e-8, -0.05677885562181473, 0.1039595827460289, 0.08088234066963196, 0.030163878574967384, 0.06019053980708122, -0.04542979225516319, 0.020880112424492836, 0.0710407942533493, 0.028986454010009766, 0.022821083664894104, 0.049550216645002365, -0.06729424744844437, 0.02528008259832859, -0.09897765517234802, 0.005909993313252926, 0.038781408220529556, 0.02420390583574772, 0.041933197528123856, 0.010427862405776978, -0.0072061605751514435, 0.044865552335977554, 0.08954023569822311, -0.008913555182516575, 0.050628967583179474, 0.09022680670022964, -0.06881363689899445, -0.03321696072816849, 0.12790042161941528, 0.012835811823606491, 0.046001046895980835, 0.040539078414440155, 0.020893823355436325, -0.07358057796955109, 0.1095985546708107, -0.02547285705804825, 0.06832830607891083, 0.06563034653663635, -0.0006415037787519395, -0.051115088164806366, -0.021962305530905724, -0.07173696905374527, -0.06184421479701996, -0.07320015132427216, 0.04492946341633797, -0.011849110946059227, 0.0423482246696949, 0.0298124048858881, -0.030727194622159004, 0.03426901623606682, 0.045061107724905014, 0.045596346259117126, -0.043075285851955414, -0.0028232831973582506, -0.019496584311127663, 0.04997113719582558, -0.017492499202489853, 0.09038346260786057, -0.043112680315971375, -0.047407809644937515, 0.055915605276823044, 0.024218542501330376, 0.02985955961048603, -0.02033832110464573, 0.030321307480335236 ]
null
null
null
null
null
null
null
[ -0.027609433978796005, -0.1626521795988083, 0.023221561685204506, 0.031295377761125565, 0.019745783880352974, 0.055438682436943054, -0.019615447148680687, -0.05565271154046059, 0.053121600300073624, -0.06930059939622879, 0.06114782765507698, 0.046159423887729645, 0.04047233611345291, 0.016076205298304558, -0.06337691843509674, -0.039937734603881836, 0.06523683667182922, 0.09718340635299683, -0.06469091027975082, -0.06811767816543579, -0.03849561884999275, 0.06562814861536026, 0.0028568324632942677, -0.04981440305709839, 0.013328413479030132, 0.030229980126023293, 0.0668322890996933, 0.042508289217948914, -0.08529132604598999, 0.005228440277278423, 0.03990345075726509, -0.04569188132882118, -0.017134081572294235, -0.03198743984103203, 0.053142715245485306, -0.0157000869512558, 0.0026036433409899473, -0.0005588157218880951, -0.04001634567975998, 0.06270981580018997, -0.007142547518014908, 0.02429618127644062, 0.038072600960731506, 0.00429182406514883, 0.08813230693340302, -0.022397546097636223, 0.005442861933261156, -0.05014301463961601, 0.023706145584583282, 0.030281882733106613, 0.008666686713695526, -0.06031960994005203, -0.028859488666057587, 0.02945561520755291, 0.05138140544295311, -0.007782444357872009, -0.04068031907081604, -0.00011672125401673838, 0.010531848296523094, 0.03236863389611244, -0.040574029088020325, -0.03135641664266586, -0.024156954139471054, -0.0268370620906353, 0.04047027602791786, 0.050646521151065826, -0.025977978482842445, 0.010587580502033234, 0.04042311757802963, 0.07632812857627869, 0.008716125972568989, 0.06117818504571915, -0.07216325402259827, -0.004520706366747618, -0.046071697026491165, -0.004262743517756462, 0.051138050854206085, -0.026942623779177666, 0.03535128012299538, -0.09482633322477341, -0.025068219751119614, 0.01820305362343788, -0.002118242671713233, 0.0185905359685421, 0.0681479275226593, 0.006100050173699856, -0.05180082842707634, 0.05066078528761864, -0.03133544325828552, 0.007428263314068317, -0.038378044962882996, -0.009122352115809917, -0.05837726965546608, -0.0763455256819725, -0.050429537892341614, 0.007187971845269203, 0.04343023896217346, -0.10062646120786667, -0.057643115520477295, 0.07280048727989197, 0.024080878123641014, 0.05416620522737503, 0.11839433014392853, 0.03449328988790512, 0.007943383418023586, -0.020545490086078644, 0.07828973978757858, 0.06025739014148712, 0.045640863478183746, -0.05474892631173134, -0.06667767465114594, 0.02413889206945896, -0.04479390010237694, -0.025081977248191833, -0.049090493470430374, -0.07155529409646988, 0.13885952532291412, -0.06906002759933472, -0.017953768372535706, 0.023216908797621727, -0.02296125888824463, 0.012120767496526241, 0.0011684083146974444, -0.01678505539894104, 0.004748994018882513, 0.0323074609041214, -0.12272832542657852, 6.244242154615315e-33, 0.025961438193917274, -0.04752508923411369, 0.0650174543261528, 0.06710682064294815, -0.053396470844745636, 0.017260918393731117, -0.020353196188807487, -0.028993671759963036, 0.09210019558668137, -0.022028977051377296, -0.05414522439241409, 0.022663772106170654, -0.11738859862089157, -0.005912022199481726, 0.0582558698952198, 0.023516157642006874, -0.01731760986149311, 0.12057572603225708, -0.0031977249309420586, -0.02108610048890114, -0.01421635877341032, 0.06114382669329643, 0.015138596296310425, -0.016505597159266472, 0.0017523959977552295, -0.007932756096124649, 0.019017605111002922, -0.029099557548761368, -0.06924767792224884, 0.013195456936955452, -0.03645956888794899, 0.020178353413939476, -0.07138341665267944, -0.019240010529756546, -0.040917862206697464, 0.003232188057154417, 0.015484525822103024, -0.0174200888723135, 0.056609146296978, -0.023338135331869125, -0.019078649580478668, -0.06761804968118668, 0.1009082943201065, 0.006082574371248484, -0.06466829031705856, -0.045895766466856, 0.04317988082766533, -0.08414718508720398, 0.0360463447868824, -0.05903056636452675, 0.004788165912032127, 0.04368824139237404, 0.05068967491388321, -0.11065208911895752, -0.007399980444461107, 0.04193757846951485, 0.05246172845363617, 0.04628603905439377, -0.028679298236966133, -0.03540434688329697, -0.0061958422884345055, 0.03899764642119408, -0.009615704417228699, -0.02207423746585846, 0.030194206163287163, 0.06504520028829575, -0.06337706744670868, 0.09831283986568451, 0.06723760068416595, 0.019136501476168633, 0.016716470941901207, 0.036673713475465775, -0.032665934413671494, -0.07325325906276703, 0.013696901500225067, 0.06947340816259384, -0.05228303372859955, -0.03337208554148674, 0.04052535444498062, -0.018655113875865936, -0.06351781636476517, -0.040511373430490494, -0.036124031990766525, 0.03958892449736595, 0.014781146310269833, 0.020108718425035477, 0.0783066377043724, -0.017091922461986542, -0.04911121353507042, 0.028952307999134064, -0.09006638079881668, -0.05614398419857025, 0.026015393435955048, 0.006968888454139233, -0.015889981761574745, -7.254844035376006e-33, -0.16262517869472504, 0.05212981998920441, 0.00593903474509716, 0.018759313970804214, -0.025952370837330818, -0.017393996939063072, -0.049831241369247437, 0.0007240645354613662, -0.01597091369330883, 0.008827012032270432, -0.04615258425474167, 0.015993118286132812, -0.06302512437105179, -0.08329830318689346, 0.04448755085468292, 0.0446380116045475, -0.033029988408088684, 0.07408565282821655, 0.0372806116938591, -0.09879700094461441, 0.01389685645699501, 0.06098258122801781, -0.019589636474847794, 0.0010738855926319957, -0.07615341246128082, -0.04161595553159714, -0.05006716027855873, 0.10683433711528778, -0.0023409915156662464, 0.037011850625276566, -0.039860401302576065, 0.007323930040001869, -0.0319458544254303, 0.02846316061913967, -0.07887288182973862, 0.05159718543291092, -0.05380883440375328, 0.041215136647224426, -0.013082599267363548, -0.02725943736732006, -0.004262572154402733, 0.00526769645512104, -0.0873221829533577, -0.06536906957626343, 0.030076567083597183, 0.02231043018400669, 0.04608625918626785, 0.006106440909206867, 0.01897004246711731, 0.05370830371975899, -0.01866862364113331, 0.07540040463209152, -0.029249444603919983, 0.020238680765032768, -0.128819540143013, 0.026638340204954147, -0.004575507249683142, -0.07913494110107422, 0.09748588502407074, 0.06636670976877213, -0.03214127570390701, -0.06825535744428635, -0.004958005156368017, -0.009708152152597904, -0.06986213475465775, -0.023776788264513016, 0.0007454101578332484, 0.05373375117778778, 0.04768860712647438, -0.017532188445329666, -0.0027144248597323895, -0.017535371705889702, 0.07505881041288376, 0.04431900382041931, 0.01927237957715988, -0.05391250178217888, -0.01503558736294508, -0.0008465872961096466, 0.008196815848350525, -0.0650358572602272, 0.08978118747472763, -0.080075703561306, 0.005921784322708845, 0.005153079051524401, 0.0890594869852066, 0.041342414915561676, 0.02262679673731327, -0.06380040943622589, 0.0889921560883522, -0.031222736462950706, 0.0142240971326828, 0.0371074415743351, -0.011306152679026127, -0.02384589985013008, -0.16541999578475952, -4.873574610542164e-8, -0.05677885562181473, 0.1039595827460289, 0.08088234066963196, 0.030163878574967384, 0.06019053980708122, -0.04542979225516319, 0.020880112424492836, 0.0710407942533493, 0.028986454010009766, 0.022821083664894104, 0.049550216645002365, -0.06729424744844437, 0.02528008259832859, -0.09897765517234802, 0.005909993313252926, 0.038781408220529556, 0.02420390583574772, 0.041933197528123856, 0.010427862405776978, -0.0072061605751514435, 0.044865552335977554, 0.08954023569822311, -0.008913555182516575, 0.050628967583179474, 0.09022680670022964, -0.06881363689899445, -0.03321696072816849, 0.12790042161941528, 0.012835811823606491, 0.046001046895980835, 0.040539078414440155, 0.020893823355436325, -0.07358057796955109, 0.1095985546708107, -0.02547285705804825, 0.06832830607891083, 0.06563034653663635, -0.0006415037787519395, -0.051115088164806366, -0.021962305530905724, -0.07173696905374527, -0.06184421479701996, -0.07320015132427216, 0.04492946341633797, -0.011849110946059227, 0.0423482246696949, 0.0298124048858881, -0.030727194622159004, 0.03426901623606682, 0.045061107724905014, 0.045596346259117126, -0.043075285851955414, -0.0028232831973582506, -0.019496584311127663, 0.04997113719582558, -0.017492499202489853, 0.09038346260786057, -0.043112680315971375, -0.047407809644937515, 0.055915605276823044, 0.024218542501330376, 0.02985955961048603, -0.02033832110464573, 0.030321307480335236 ]
1402.0485
Mustazee Rahman
Mustazee Rahman and Balint Virag
Local algorithms for independent sets are half-optimal
Exposition has been clarified in the new version
Ann. Probab. 45 (2017), no. 3, 1543-1577
10.1214/16-AOP1094
null
math.PR cs.DC math.CO
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that the largest density of factor of i.i.d. independent sets on the d-regular tree is asymptotically at most (log d)/d as d tends to infinity. This matches the lower bound given by previous constructions. It follows that the largest independent sets given by local algorithms on random d-regular graphs have the same asymptotic density. In contrast, the density of the largest independent sets on these graphs is asymptotically 2(log d)/d. We also prove analogous results for Poisson-Galton-Watson trees, which yield bounds for local algorithms on sparse Erdos-Renyi graphs.
[ { "created": "Mon, 3 Feb 2014 19:48:35 GMT", "version": "v1" }, { "created": "Wed, 9 Dec 2015 20:57:34 GMT", "version": "v2" } ]
2019-11-05
[ [ "Rahman", "Mustazee", "" ], [ "Virag", "Balint", "" ] ]
[ 0.0165619645267725, -0.02356129139661789, 0.02786223031580448, -0.015973322093486786, 0.12100290507078171, -0.07221280783414841, 0.043208055198192596, -0.00722529087215662, 0.025438083335757256, 0.008875454775989056, 0.029728058725595474, 0.06706877052783966, 0.06354258954524994, -0.01301322877407074, 0.000625667511485517, 0.022239219397306442, 0.03692350536584854, -0.030537720769643784, -0.039740048348903656, 0.02555879019200802, -0.03051483817398548, -0.025224901735782623, 0.04868369549512863, 0.00046687122085131705, 0.09860531240701675, -0.09229198843240738, 0.04012894257903099, -0.00809305440634489, 0.031104259192943573, -0.014578011818230152, -0.013543170876801014, -0.05812757462263107, 0.07120607048273087, -0.00010820446914294735, 0.041084110736846924, 0.0020199103746563196, 0.020233355462551117, 0.01541372761130333, 0.015131460502743721, 0.12057124823331833, 0.039690639823675156, 0.10187908262014389, 0.06832051277160645, -0.005215817596763372, -0.012469002045691013, 0.04369474947452545, -0.11022444814443588, 0.04593826085329056, -0.029077906161546707, -0.06558330357074738, 0.06393413245677948, -0.027053499594330788, -0.055645231157541275, -0.03817004710435867, -0.007210930809378624, -0.07942908257246017, -0.014856147579848766, -0.0796455666422844, -0.0006157705211080611, 0.06980770826339722, 0.07728936523199081, 0.03687796741724014, -0.030987422913312912, -0.05388854444026947, -0.031937479972839355, 0.03209643065929413, 0.02434554509818554, 0.036404769867658615, 0.021016474813222885, 0.042149607092142105, -0.018948953598737717, 0.05396343767642975, -0.13521376252174377, 0.11412876844406128, 0.08409468829631805, -0.026497891172766685, -0.008868860080838203, -0.03891998529434204, -0.06606367230415344, -0.028827466070652008, -0.0759212002158165, 0.01258334144949913, 0.043805576860904694, -0.05549931153655052, -0.004364145454019308, -0.04249787703156471, -0.028220897540450096, -0.003684774274006486, 0.029592372477054596, -0.009829742833971977, -0.07675895094871521, -0.04326125979423523, -0.008442816324532032, 0.05142271891236305, -0.05896114557981491, 0.0010268494952470064, 0.05965520441532135, 0.022789400070905685, 0.023464148864150047, 0.06262519210577011, -0.037730030715465546, 0.015882272273302078, 0.04773819446563721, -0.000004503378931985935, -0.03010244108736515, 0.056351762264966965, -0.054230913519859314, 0.016509046778082848, 0.026835812255740166, -0.06934129446744919, 0.05424503609538078, -0.003515440272167325, -0.00026727147633209825, 0.1168171763420105, -0.02651425451040268, -0.10215990245342255, 0.044891972094774246, -0.020463289692997932, -0.0445900559425354, -0.047635771334171295, -0.014583948068320751, 0.04562344774603844, -0.002342034364119172, -0.040588948875665665, 0.04862164705991745, 0.05556998401880264, 0.018626775592565536, 3.207403927143784e-33, 0.15345051884651184, 0.04163965582847595, 0.03908076882362366, -0.05476376786828041, 0.013646852225065231, 0.08383780717849731, -0.018268583342432976, -0.05387880280613899, -0.007893415167927742, 0.022009016945958138, -0.08019869774580002, 0.03778545930981636, 0.0582260824739933, 0.01564011350274086, 0.05639776960015297, -0.0011900834506377578, 0.10866241157054901, 0.045362431555986404, 0.02318429760634899, -0.09808027744293213, 0.06080341339111328, 0.017636893317103386, -0.0075312331318855286, -0.021641695871949196, 0.02693292871117592, -0.032123446464538574, 0.011520391330122948, -0.04333531856536865, 0.024392252787947655, 0.029674429446458817, -0.1124858632683754, 0.05083543434739113, 0.024663781747221947, 0.08453106880187988, -0.024448055773973465, -0.005766758695244789, -0.028821108862757683, -0.055060841143131256, -0.02433115243911743, -0.11657878756523132, -0.020306061953306198, 0.036700669676065445, 0.04186974838376045, -0.07016431540250778, -0.07454127073287964, -0.00018404150614514947, -0.00016322110604960471, 0.022714419290423393, 0.012761197052896023, -0.044760383665561676, -0.01653294637799263, -0.017073925584554672, -0.05100935697555542, 0.056618135422468185, -0.010529998689889908, 0.004162946250289679, 0.05066065117716789, 0.05806928500533104, 0.14258632063865662, 0.09685347974300385, 0.026577088981866837, 0.01037871278822422, 0.010136430151760578, 0.043179672211408615, 0.02061551995575428, 0.06631685048341751, 0.011313158087432384, -0.053909529000520706, 0.09607808291912079, 0.007998798973858356, 0.053867679089307785, -0.022512884810566902, 0.016901329159736633, -0.07719090580940247, 0.01364579051733017, 0.010123971849679947, 0.03843102976679802, -0.05707617849111557, -0.07340435683727264, 0.003971133381128311, -0.08588619530200958, -0.05052047222852707, -0.04904303699731827, -0.07154452800750732, 0.008661068975925446, -0.1072324886918068, -0.004839704837650061, -0.009983900003135204, -0.03735189512372017, -0.06897590309381485, -0.05993124842643738, -0.034941960126161575, -0.02410123124718666, -0.07591988146305084, 0.05179233476519585, -2.8159778999733934e-33, -0.014609756879508495, -0.060596391558647156, 0.04510381817817688, 0.020632170140743256, 0.04704941809177399, -0.09445636719465256, -0.05559209734201431, 0.05464789271354675, -0.020198943093419075, -0.03090321272611618, -0.07223913818597794, 0.0016982449451461434, 0.006052427459508181, -0.025735680013895035, -0.01787700317800045, -0.0008348900591954589, 0.007188776507973671, 0.06710516661405563, -0.035451579838991165, 0.03140828385949135, -0.02160806581377983, 0.04837014526128769, -0.0050681293942034245, 0.04874137416481972, 0.06201845407485962, -0.009106576442718506, -0.10683067888021469, 0.028415005654096603, -0.09532520174980164, -0.016434768214821815, -0.016028080135583878, -0.019775085151195526, -0.11009745299816132, -0.03766176849603653, -0.05264193192124367, -0.009264272637665272, 0.03890421614050865, 0.04710185527801514, -0.047542840242385864, 0.020699528977274895, -0.018232183530926704, -0.006164968013763428, -0.037179604172706604, -0.010430663824081421, 0.07116667926311493, 0.04414170980453491, -0.027433570474386215, -0.016748277470469475, -0.020852359011769295, 0.02129710093140602, -0.036068663001060486, 0.011106989346444607, 0.1083482950925827, 0.08683493733406067, 0.0047109914012253284, -0.048025745898485184, 0.020656798034906387, 0.10307332873344421, 0.0036670430563390255, -0.024779509752988815, -0.0802452564239502, -0.0367438867688179, -0.05869835615158081, 0.10091552138328552, -0.03865848854184151, -0.10226836800575256, -0.044544562697410583, -0.05792739614844322, 0.03465956822037697, -0.03102095052599907, 0.011264625005424023, -0.014111005701124668, -0.06139983981847763, 0.017991086468100548, -0.08749652653932571, 0.04842369630932808, 0.03333110734820366, 0.025122597813606262, 0.028229087591171265, 0.11628520488739014, -0.028816761448979378, 0.06157263368368149, -0.013302206993103027, 0.049972355365753174, 0.013935752213001251, -0.05494003742933273, 0.03759249672293663, -0.043202973902225494, 0.021795189008116722, -0.040668368339538574, 0.018938379362225533, 0.013433463871479034, 0.03987806662917137, 0.011903571896255016, 0.04158131033182144, -3.745314813841105e-8, -0.05198555067181587, 0.026406142860651016, -0.02816706709563732, -0.02383585274219513, 0.09999752789735794, -0.022205714136362076, 0.04542363062500954, 0.19562900066375732, -0.08869588375091553, 0.029491933062672615, 0.11654587090015411, -0.029602976515889168, -0.01818527653813362, -0.013965349644422531, 0.0544031597673893, 0.06490152329206467, 0.041257619857788086, 0.023750564083456993, -0.014120321720838547, 0.06307219713926315, 0.011187034659087658, -0.010472864843904972, 0.006721910089254379, 0.03412754088640213, -0.05485272407531738, -0.07730461657047272, 0.04915396124124527, -0.04554392397403717, -0.09594316780567169, 0.06231606379151344, -0.0024118642322719097, -0.0138511061668396, 0.028005653992295265, -0.0011586539912968874, 0.02498673088848591, 0.0546933114528656, -0.02643229253590107, -0.004376090131700039, -0.06419505923986435, -0.03976667672395706, -0.016019178554415703, -0.08590175211429596, -0.022290540859103203, -0.012224570848047733, 0.008045035414397717, 0.014622359536588192, -0.009440484456717968, 0.03336691856384277, 0.03907989710569382, 0.008067713119089603, -0.029435575008392334, -0.07377424836158752, 0.0007426164229400456, -0.0900980532169342, 0.01570252701640129, 0.06899363547563553, -0.023601660504937172, -0.06435530632734299, 0.039884261786937714, 0.00168333959300071, 0.009689227677881718, 0.01046120934188366, 0.05730823054909706, 0.008350423537194729 ]
null
null
null
null
null
null
null
[ 0.0165619645267725, -0.02356129139661789, 0.02786223031580448, -0.015973322093486786, 0.12100290507078171, -0.07221280783414841, 0.043208055198192596, -0.00722529087215662, 0.025438083335757256, 0.008875454775989056, 0.029728058725595474, 0.06706877052783966, 0.06354258954524994, -0.01301322877407074, 0.000625667511485517, 0.022239219397306442, 0.03692350536584854, -0.030537720769643784, -0.039740048348903656, 0.02555879019200802, -0.03051483817398548, -0.025224901735782623, 0.04868369549512863, 0.00046687122085131705, 0.09860531240701675, -0.09229198843240738, 0.04012894257903099, -0.00809305440634489, 0.031104259192943573, -0.014578011818230152, -0.013543170876801014, -0.05812757462263107, 0.07120607048273087, -0.00010820446914294735, 0.041084110736846924, 0.0020199103746563196, 0.020233355462551117, 0.01541372761130333, 0.015131460502743721, 0.12057124823331833, 0.039690639823675156, 0.10187908262014389, 0.06832051277160645, -0.005215817596763372, -0.012469002045691013, 0.04369474947452545, -0.11022444814443588, 0.04593826085329056, -0.029077906161546707, -0.06558330357074738, 0.06393413245677948, -0.027053499594330788, -0.055645231157541275, -0.03817004710435867, -0.007210930809378624, -0.07942908257246017, -0.014856147579848766, -0.0796455666422844, -0.0006157705211080611, 0.06980770826339722, 0.07728936523199081, 0.03687796741724014, -0.030987422913312912, -0.05388854444026947, -0.031937479972839355, 0.03209643065929413, 0.02434554509818554, 0.036404769867658615, 0.021016474813222885, 0.042149607092142105, -0.018948953598737717, 0.05396343767642975, -0.13521376252174377, 0.11412876844406128, 0.08409468829631805, -0.026497891172766685, -0.008868860080838203, -0.03891998529434204, -0.06606367230415344, -0.028827466070652008, -0.0759212002158165, 0.01258334144949913, 0.043805576860904694, -0.05549931153655052, -0.004364145454019308, -0.04249787703156471, -0.028220897540450096, -0.003684774274006486, 0.029592372477054596, -0.009829742833971977, -0.07675895094871521, -0.04326125979423523, -0.008442816324532032, 0.05142271891236305, -0.05896114557981491, 0.0010268494952470064, 0.05965520441532135, 0.022789400070905685, 0.023464148864150047, 0.06262519210577011, -0.037730030715465546, 0.015882272273302078, 0.04773819446563721, -0.000004503378931985935, -0.03010244108736515, 0.056351762264966965, -0.054230913519859314, 0.016509046778082848, 0.026835812255740166, -0.06934129446744919, 0.05424503609538078, -0.003515440272167325, -0.00026727147633209825, 0.1168171763420105, -0.02651425451040268, -0.10215990245342255, 0.044891972094774246, -0.020463289692997932, -0.0445900559425354, -0.047635771334171295, -0.014583948068320751, 0.04562344774603844, -0.002342034364119172, -0.040588948875665665, 0.04862164705991745, 0.05556998401880264, 0.018626775592565536, 3.207403927143784e-33, 0.15345051884651184, 0.04163965582847595, 0.03908076882362366, -0.05476376786828041, 0.013646852225065231, 0.08383780717849731, -0.018268583342432976, -0.05387880280613899, -0.007893415167927742, 0.022009016945958138, -0.08019869774580002, 0.03778545930981636, 0.0582260824739933, 0.01564011350274086, 0.05639776960015297, -0.0011900834506377578, 0.10866241157054901, 0.045362431555986404, 0.02318429760634899, -0.09808027744293213, 0.06080341339111328, 0.017636893317103386, -0.0075312331318855286, -0.021641695871949196, 0.02693292871117592, -0.032123446464538574, 0.011520391330122948, -0.04333531856536865, 0.024392252787947655, 0.029674429446458817, -0.1124858632683754, 0.05083543434739113, 0.024663781747221947, 0.08453106880187988, -0.024448055773973465, -0.005766758695244789, -0.028821108862757683, -0.055060841143131256, -0.02433115243911743, -0.11657878756523132, -0.020306061953306198, 0.036700669676065445, 0.04186974838376045, -0.07016431540250778, -0.07454127073287964, -0.00018404150614514947, -0.00016322110604960471, 0.022714419290423393, 0.012761197052896023, -0.044760383665561676, -0.01653294637799263, -0.017073925584554672, -0.05100935697555542, 0.056618135422468185, -0.010529998689889908, 0.004162946250289679, 0.05066065117716789, 0.05806928500533104, 0.14258632063865662, 0.09685347974300385, 0.026577088981866837, 0.01037871278822422, 0.010136430151760578, 0.043179672211408615, 0.02061551995575428, 0.06631685048341751, 0.011313158087432384, -0.053909529000520706, 0.09607808291912079, 0.007998798973858356, 0.053867679089307785, -0.022512884810566902, 0.016901329159736633, -0.07719090580940247, 0.01364579051733017, 0.010123971849679947, 0.03843102976679802, -0.05707617849111557, -0.07340435683727264, 0.003971133381128311, -0.08588619530200958, -0.05052047222852707, -0.04904303699731827, -0.07154452800750732, 0.008661068975925446, -0.1072324886918068, -0.004839704837650061, -0.009983900003135204, -0.03735189512372017, -0.06897590309381485, -0.05993124842643738, -0.034941960126161575, -0.02410123124718666, -0.07591988146305084, 0.05179233476519585, -2.8159778999733934e-33, -0.014609756879508495, -0.060596391558647156, 0.04510381817817688, 0.020632170140743256, 0.04704941809177399, -0.09445636719465256, -0.05559209734201431, 0.05464789271354675, -0.020198943093419075, -0.03090321272611618, -0.07223913818597794, 0.0016982449451461434, 0.006052427459508181, -0.025735680013895035, -0.01787700317800045, -0.0008348900591954589, 0.007188776507973671, 0.06710516661405563, -0.035451579838991165, 0.03140828385949135, -0.02160806581377983, 0.04837014526128769, -0.0050681293942034245, 0.04874137416481972, 0.06201845407485962, -0.009106576442718506, -0.10683067888021469, 0.028415005654096603, -0.09532520174980164, -0.016434768214821815, -0.016028080135583878, -0.019775085151195526, -0.11009745299816132, -0.03766176849603653, -0.05264193192124367, -0.009264272637665272, 0.03890421614050865, 0.04710185527801514, -0.047542840242385864, 0.020699528977274895, -0.018232183530926704, -0.006164968013763428, -0.037179604172706604, -0.010430663824081421, 0.07116667926311493, 0.04414170980453491, -0.027433570474386215, -0.016748277470469475, -0.020852359011769295, 0.02129710093140602, -0.036068663001060486, 0.011106989346444607, 0.1083482950925827, 0.08683493733406067, 0.0047109914012253284, -0.048025745898485184, 0.020656798034906387, 0.10307332873344421, 0.0036670430563390255, -0.024779509752988815, -0.0802452564239502, -0.0367438867688179, -0.05869835615158081, 0.10091552138328552, -0.03865848854184151, -0.10226836800575256, -0.044544562697410583, -0.05792739614844322, 0.03465956822037697, -0.03102095052599907, 0.011264625005424023, -0.014111005701124668, -0.06139983981847763, 0.017991086468100548, -0.08749652653932571, 0.04842369630932808, 0.03333110734820366, 0.025122597813606262, 0.028229087591171265, 0.11628520488739014, -0.028816761448979378, 0.06157263368368149, -0.013302206993103027, 0.049972355365753174, 0.013935752213001251, -0.05494003742933273, 0.03759249672293663, -0.043202973902225494, 0.021795189008116722, -0.040668368339538574, 0.018938379362225533, 0.013433463871479034, 0.03987806662917137, 0.011903571896255016, 0.04158131033182144, -3.745314813841105e-8, -0.05198555067181587, 0.026406142860651016, -0.02816706709563732, -0.02383585274219513, 0.09999752789735794, -0.022205714136362076, 0.04542363062500954, 0.19562900066375732, -0.08869588375091553, 0.029491933062672615, 0.11654587090015411, -0.029602976515889168, -0.01818527653813362, -0.013965349644422531, 0.0544031597673893, 0.06490152329206467, 0.041257619857788086, 0.023750564083456993, -0.014120321720838547, 0.06307219713926315, 0.011187034659087658, -0.010472864843904972, 0.006721910089254379, 0.03412754088640213, -0.05485272407531738, -0.07730461657047272, 0.04915396124124527, -0.04554392397403717, -0.09594316780567169, 0.06231606379151344, -0.0024118642322719097, -0.0138511061668396, 0.028005653992295265, -0.0011586539912968874, 0.02498673088848591, 0.0546933114528656, -0.02643229253590107, -0.004376090131700039, -0.06419505923986435, -0.03976667672395706, -0.016019178554415703, -0.08590175211429596, -0.022290540859103203, -0.012224570848047733, 0.008045035414397717, 0.014622359536588192, -0.009440484456717968, 0.03336691856384277, 0.03907989710569382, 0.008067713119089603, -0.029435575008392334, -0.07377424836158752, 0.0007426164229400456, -0.0900980532169342, 0.01570252701640129, 0.06899363547563553, -0.023601660504937172, -0.06435530632734299, 0.039884261786937714, 0.00168333959300071, 0.009689227677881718, 0.01046120934188366, 0.05730823054909706, 0.008350423537194729 ]
1402.0486
Ralph Gebauer
Xiaochuan Ge, Simon J. Binnie, Dario Rocca, Ralph Gebauer, Stefano Baroni
turboTDDFT 2.0 - Hybrid functionals and new algorithms within time-dependent density-functional perturbation theory
null
null
10.1016/j.cpc.2014.03.005
null
physics.chem-ph cond-mat.mtrl-sci
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a new release of the turboTDDFT code featuring an implementation of hybrid functionals, a recently introduced pseudo-Hermitian variant of the Liouville-Lanczos approach to time-dependent density-functional perturbation theory, and a newly developed Davidson-like algorithm to compute selected interior eigenvalues/vectors of the Liouvillian super-operator. Our implementation is thoroughly validated against benchmark calculations performed on the cyanin (C$_{21}$O$_{11}$H$_{21}$) molecule using the Gaussian09 and turboTDDFT 1.0 codes.
[ { "created": "Mon, 3 Feb 2014 19:54:02 GMT", "version": "v1" } ]
2015-06-18
[ [ "Ge", "Xiaochuan", "" ], [ "Binnie", "Simon J.", "" ], [ "Rocca", "Dario", "" ], [ "Gebauer", "Ralph", "" ], [ "Baroni", "Stefano", "" ] ]
[ -0.11327999830245972, -0.03410821035504341, -0.07632727175951004, 0.000267155934125185, -0.0005316432216204703, -0.008979103527963161, 0.03093612752854824, 0.03773759678006172, -0.11853369325399399, -0.012081573717296124, 0.07108994573354721, 0.09857937693595886, -0.07103549689054489, 0.01377157960087061, -0.04381178319454193, 0.03298350051045418, -0.0217773225158453, 0.004619446583092213, 0.002591402968391776, 0.0024511166848242283, -0.006807187106460333, 0.00994560495018959, -0.02143910899758339, 0.004880151245743036, 0.09352491796016693, -0.023646743968129158, 0.03467243164777756, 0.007849440909922123, 0.047291286289691925, 0.004360760096460581, 0.1126110628247261, 0.0029087045695632696, -0.05152612924575806, -0.004535689949989319, -0.019096849486231804, -0.020484261214733124, 0.03495496138930321, -0.032650187611579895, 0.007881609722971916, -0.08846698701381683, 0.009182043373584747, 0.055277690291404724, -0.0031394970137625933, 0.02521979622542858, 0.06007588654756546, -0.006085768807679415, -0.007166719995439053, -0.09616599231958389, 0.013865050859749317, -0.08955613523721695, 0.04315807670354843, 0.03606618940830231, 0.043071020394563675, -0.025036172941327095, 0.006018884479999542, -0.02611914835870266, -0.012023495510220528, 0.004411803092807531, 0.02350798435509205, -0.016377154737710953, 0.01484451349824667, 0.0020363919902592897, 0.03973161429166794, 0.015542981214821339, 0.05465538427233696, 0.008579268120229244, 0.015340695157647133, -0.036976952105760574, -0.09026385098695755, 0.003361727111041546, -0.057642076164484024, -0.021745067089796066, -0.003308503655716777, -0.0446612723171711, 0.051917217671871185, 0.037612978368997574, -0.02391832135617733, -0.023737166076898575, -0.018193630501627922, -0.03702232241630554, 0.017963189631700516, 0.02536584809422493, 0.07637082040309906, -0.042238686233758926, -0.0028290776535868645, 0.0014932106714695692, 0.0014030643505975604, 0.0660715252161026, -0.014867264777421951, 0.012342763133347034, 0.05573185160756111, 0.0035297521390020847, -0.03872381150722504, -0.054539330303668976, -0.11577551066875458, 0.020953252911567688, 0.11278433352708817, 0.04321129620075226, 0.02023931033909321, 0.03997024893760681, -0.018245823681354523, -0.023342452943325043, 0.02133260853588581, -0.05537450686097145, -0.032067034393548965, 0.009182313457131386, 0.06573086977005005, 0.06507866084575653, 0.005239488091319799, 0.022677790373563766, -0.03669692203402519, 0.011192800477147102, 0.014117161743342876, -0.02229611948132515, -0.06619252264499664, 0.02403884194791317, -0.002418116433545947, 0.03616410493850708, 0.09510017186403275, 0.019349537789821625, -0.052169907838106155, 0.010403686203062534, -0.0012343432754278183, 0.06016433611512184, -0.027457749471068382, 0.046975068747997284, -0.13836592435836792, -3.821004654392199e-35, 0.04368098825216293, 0.026107773184776306, 0.0017698864685371518, -0.028912346810102463, -0.0641569122672081, -0.019611405208706856, -0.00571671174839139, -0.04608367383480072, -0.022271761670708656, 0.04760079085826874, -0.03464718163013458, 0.00524839386343956, -0.03212234377861023, -0.05080130696296692, -0.09146274626255035, 0.028901413083076477, -0.07592687010765076, 0.0005436887149699032, 0.04552817717194557, -0.044784992933273315, 0.08896996825933456, 0.0016066146781668067, -0.06970052421092987, -0.018397247418761253, -0.005645357072353363, -0.010623522102832794, 0.0736268162727356, -0.01821303553879261, -0.05592181533575058, 0.054181575775146484, -0.028446026146411896, -0.02836558409035206, -0.12075729668140411, -0.02318376861512661, 0.1109812930226326, -0.019889691844582558, -0.01727292127907276, -0.08461269736289978, -0.012432139366865158, -0.12610040605068207, -0.04264547675848007, -0.04054287075996399, -0.028362127020955086, -0.04248081147670746, -0.07913631945848465, -0.015929022803902626, 0.05326114967465401, 0.03930278494954109, 0.05793127790093422, -0.000806560565251857, 0.003461271757259965, -0.0361173078417778, -0.04984757676720619, 0.09927647560834885, 0.014960278756916523, 0.01370863988995552, 0.041446294635534286, -0.010487327352166176, 0.09813722968101501, 0.03743816167116165, 0.07167328149080276, -0.013213422149419785, -0.0005735309096053243, -0.1497233361005783, 0.013547677546739578, -0.004233587067574263, -0.0779191181063652, -0.028509872034192085, 0.04754365608096123, -0.003068654565140605, 0.056434936821460724, 0.02155885100364685, 0.10123177617788315, -0.023564115166664124, 0.1245725080370903, -0.008109277114272118, 0.018098514527082443, -0.08161213994026184, -0.02771499752998352, -0.03132035583257675, -0.017095623537898064, 0.05423003062605858, 0.024420231580734253, 0.04936615750193596, 0.037495020776987076, -0.09610843658447266, -0.0682872012257576, 0.005174893885850906, -0.1135399341583252, -0.07293412834405899, -0.02184240333735943, -0.14532580971717834, 0.084957554936409, -0.0450730100274086, -0.0533822700381279, -1.5377184350888637e-33, -0.021315308287739754, 0.015199230052530766, 0.05362893268465996, -0.06946908682584763, 0.06530186533927917, -0.06990335136651993, 0.017173653468489647, 0.0036907908506691456, 0.010421466082334518, -0.025853024795651436, 0.08463367074728012, -0.011593112722039223, 0.04143422842025757, -0.009429339319467545, 0.0777931734919548, -0.010067782364785671, -0.027727309614419937, -0.06626228243112564, 0.057431913912296295, 0.04348527267575264, -0.05135384947061539, -0.049937643110752106, 0.004237910732626915, 0.052725061774253845, -0.024380147457122803, 0.026505788788199425, 0.03098158724606037, 0.07620073854923248, 0.07413999736309052, 0.07339649647474289, -0.04227094352245331, 0.083109550178051, -0.03551756590604782, 0.1200857013463974, -0.03610949590802193, 0.02335224859416485, -0.030085837468504906, 0.024740464985370636, -0.007010890170931816, 0.04417924955487251, -0.013965429738163948, -0.012135854922235012, -0.01122791413217783, 0.04206447675824165, 0.07267680764198303, 0.09090589731931686, -0.02016422338783741, -0.004425153601914644, 0.04296546056866646, -0.001895555411465466, 0.07441536337137222, 0.034647148102521896, -0.017902135848999023, 0.07104701548814774, 0.00011497019295347854, 0.06770165264606476, -0.008813323453068733, 0.0213631521910429, 0.03726562112569809, -0.041288282722234726, -0.02667940780520439, -0.0666094645857811, 0.03565024212002754, 0.059121452271938324, -0.07605121284723282, -0.03663112223148346, -0.07952240854501724, -0.031759113073349, -0.011249474249780178, -0.044489551335573196, -0.042813580483198166, -0.031373798847198486, 0.030866624787449837, 0.04439462721347809, -0.0354008823633194, -0.05794699490070343, 0.11838287115097046, -0.08502189069986343, 0.027067625895142555, 0.023707404732704163, 0.014403759501874447, 0.01421415526419878, -0.0349842794239521, 0.0060163517482578754, 0.04112011566758156, 0.02061663195490837, -0.008930642157793045, -0.05622386187314987, -0.031230848282575607, -0.16565720736980438, 0.007647119462490082, 0.1379874050617218, -0.026633499190211296, 0.03235116973519325, 0.06431236863136292, -4.6663334529739586e-8, 0.040163252502679825, -0.11292549967765808, 0.008174045942723751, 0.0125778429210186, 0.06414656341075897, 0.0022038230672478676, -0.033106379210948944, -0.05123468115925789, 0.014626258052885532, -0.04227396473288536, 0.12121440470218658, -0.05948109179735184, -0.04056370630860329, -0.07721155136823654, 0.06253265589475632, 0.026732327416539192, -0.04501849040389061, -0.026212593540549278, -0.035516444593667984, 0.026087051257491112, -0.040808308869600296, 0.04887525364756584, -0.01792142167687416, -0.05214706435799599, -0.08010987192392349, -0.03296118974685669, -0.032447874546051025, -0.08187160640954971, 0.08772329241037369, 0.0359978973865509, 0.023118777200579643, 0.10749919712543488, -0.015475419349968433, 0.07175923138856888, -0.012780320830643177, 0.04232734814286232, 0.030487075448036194, 0.05155050754547119, -0.040554292500019073, 0.05475078895688057, 0.0027832030318677425, 0.03120213933289051, -0.020881451666355133, 0.019006827846169472, 0.027687033638358116, 0.08060751110315323, 0.03566899523139, 0.05641821026802063, -0.012689199298620224, 0.043831612914800644, 0.06254296004772186, -0.004619821440428495, -0.06600835174322128, 0.00098930555395782, -0.014637324959039688, -0.03297543525695801, -0.08381801098585129, -0.04039140045642853, -0.02686062455177307, 0.04104116931557655, -0.026499701663851738, 0.015668749809265137, 0.041926950216293335, 0.0016123874811455607 ]
null
null
null
null
null
null
null
[ -0.11327999830245972, -0.03410821035504341, -0.07632727175951004, 0.000267155934125185, -0.0005316432216204703, -0.008979103527963161, 0.03093612752854824, 0.03773759678006172, -0.11853369325399399, -0.012081573717296124, 0.07108994573354721, 0.09857937693595886, -0.07103549689054489, 0.01377157960087061, -0.04381178319454193, 0.03298350051045418, -0.0217773225158453, 0.004619446583092213, 0.002591402968391776, 0.0024511166848242283, -0.006807187106460333, 0.00994560495018959, -0.02143910899758339, 0.004880151245743036, 0.09352491796016693, -0.023646743968129158, 0.03467243164777756, 0.007849440909922123, 0.047291286289691925, 0.004360760096460581, 0.1126110628247261, 0.0029087045695632696, -0.05152612924575806, -0.004535689949989319, -0.019096849486231804, -0.020484261214733124, 0.03495496138930321, -0.032650187611579895, 0.007881609722971916, -0.08846698701381683, 0.009182043373584747, 0.055277690291404724, -0.0031394970137625933, 0.02521979622542858, 0.06007588654756546, -0.006085768807679415, -0.007166719995439053, -0.09616599231958389, 0.013865050859749317, -0.08955613523721695, 0.04315807670354843, 0.03606618940830231, 0.043071020394563675, -0.025036172941327095, 0.006018884479999542, -0.02611914835870266, -0.012023495510220528, 0.004411803092807531, 0.02350798435509205, -0.016377154737710953, 0.01484451349824667, 0.0020363919902592897, 0.03973161429166794, 0.015542981214821339, 0.05465538427233696, 0.008579268120229244, 0.015340695157647133, -0.036976952105760574, -0.09026385098695755, 0.003361727111041546, -0.057642076164484024, -0.021745067089796066, -0.003308503655716777, -0.0446612723171711, 0.051917217671871185, 0.037612978368997574, -0.02391832135617733, -0.023737166076898575, -0.018193630501627922, -0.03702232241630554, 0.017963189631700516, 0.02536584809422493, 0.07637082040309906, -0.042238686233758926, -0.0028290776535868645, 0.0014932106714695692, 0.0014030643505975604, 0.0660715252161026, -0.014867264777421951, 0.012342763133347034, 0.05573185160756111, 0.0035297521390020847, -0.03872381150722504, -0.054539330303668976, -0.11577551066875458, 0.020953252911567688, 0.11278433352708817, 0.04321129620075226, 0.02023931033909321, 0.03997024893760681, -0.018245823681354523, -0.023342452943325043, 0.02133260853588581, -0.05537450686097145, -0.032067034393548965, 0.009182313457131386, 0.06573086977005005, 0.06507866084575653, 0.005239488091319799, 0.022677790373563766, -0.03669692203402519, 0.011192800477147102, 0.014117161743342876, -0.02229611948132515, -0.06619252264499664, 0.02403884194791317, -0.002418116433545947, 0.03616410493850708, 0.09510017186403275, 0.019349537789821625, -0.052169907838106155, 0.010403686203062534, -0.0012343432754278183, 0.06016433611512184, -0.027457749471068382, 0.046975068747997284, -0.13836592435836792, -3.821004654392199e-35, 0.04368098825216293, 0.026107773184776306, 0.0017698864685371518, -0.028912346810102463, -0.0641569122672081, -0.019611405208706856, -0.00571671174839139, -0.04608367383480072, -0.022271761670708656, 0.04760079085826874, -0.03464718163013458, 0.00524839386343956, -0.03212234377861023, -0.05080130696296692, -0.09146274626255035, 0.028901413083076477, -0.07592687010765076, 0.0005436887149699032, 0.04552817717194557, -0.044784992933273315, 0.08896996825933456, 0.0016066146781668067, -0.06970052421092987, -0.018397247418761253, -0.005645357072353363, -0.010623522102832794, 0.0736268162727356, -0.01821303553879261, -0.05592181533575058, 0.054181575775146484, -0.028446026146411896, -0.02836558409035206, -0.12075729668140411, -0.02318376861512661, 0.1109812930226326, -0.019889691844582558, -0.01727292127907276, -0.08461269736289978, -0.012432139366865158, -0.12610040605068207, -0.04264547675848007, -0.04054287075996399, -0.028362127020955086, -0.04248081147670746, -0.07913631945848465, -0.015929022803902626, 0.05326114967465401, 0.03930278494954109, 0.05793127790093422, -0.000806560565251857, 0.003461271757259965, -0.0361173078417778, -0.04984757676720619, 0.09927647560834885, 0.014960278756916523, 0.01370863988995552, 0.041446294635534286, -0.010487327352166176, 0.09813722968101501, 0.03743816167116165, 0.07167328149080276, -0.013213422149419785, -0.0005735309096053243, -0.1497233361005783, 0.013547677546739578, -0.004233587067574263, -0.0779191181063652, -0.028509872034192085, 0.04754365608096123, -0.003068654565140605, 0.056434936821460724, 0.02155885100364685, 0.10123177617788315, -0.023564115166664124, 0.1245725080370903, -0.008109277114272118, 0.018098514527082443, -0.08161213994026184, -0.02771499752998352, -0.03132035583257675, -0.017095623537898064, 0.05423003062605858, 0.024420231580734253, 0.04936615750193596, 0.037495020776987076, -0.09610843658447266, -0.0682872012257576, 0.005174893885850906, -0.1135399341583252, -0.07293412834405899, -0.02184240333735943, -0.14532580971717834, 0.084957554936409, -0.0450730100274086, -0.0533822700381279, -1.5377184350888637e-33, -0.021315308287739754, 0.015199230052530766, 0.05362893268465996, -0.06946908682584763, 0.06530186533927917, -0.06990335136651993, 0.017173653468489647, 0.0036907908506691456, 0.010421466082334518, -0.025853024795651436, 0.08463367074728012, -0.011593112722039223, 0.04143422842025757, -0.009429339319467545, 0.0777931734919548, -0.010067782364785671, -0.027727309614419937, -0.06626228243112564, 0.057431913912296295, 0.04348527267575264, -0.05135384947061539, -0.049937643110752106, 0.004237910732626915, 0.052725061774253845, -0.024380147457122803, 0.026505788788199425, 0.03098158724606037, 0.07620073854923248, 0.07413999736309052, 0.07339649647474289, -0.04227094352245331, 0.083109550178051, -0.03551756590604782, 0.1200857013463974, -0.03610949590802193, 0.02335224859416485, -0.030085837468504906, 0.024740464985370636, -0.007010890170931816, 0.04417924955487251, -0.013965429738163948, -0.012135854922235012, -0.01122791413217783, 0.04206447675824165, 0.07267680764198303, 0.09090589731931686, -0.02016422338783741, -0.004425153601914644, 0.04296546056866646, -0.001895555411465466, 0.07441536337137222, 0.034647148102521896, -0.017902135848999023, 0.07104701548814774, 0.00011497019295347854, 0.06770165264606476, -0.008813323453068733, 0.0213631521910429, 0.03726562112569809, -0.041288282722234726, -0.02667940780520439, -0.0666094645857811, 0.03565024212002754, 0.059121452271938324, -0.07605121284723282, -0.03663112223148346, -0.07952240854501724, -0.031759113073349, -0.011249474249780178, -0.044489551335573196, -0.042813580483198166, -0.031373798847198486, 0.030866624787449837, 0.04439462721347809, -0.0354008823633194, -0.05794699490070343, 0.11838287115097046, -0.08502189069986343, 0.027067625895142555, 0.023707404732704163, 0.014403759501874447, 0.01421415526419878, -0.0349842794239521, 0.0060163517482578754, 0.04112011566758156, 0.02061663195490837, -0.008930642157793045, -0.05622386187314987, -0.031230848282575607, -0.16565720736980438, 0.007647119462490082, 0.1379874050617218, -0.026633499190211296, 0.03235116973519325, 0.06431236863136292, -4.6663334529739586e-8, 0.040163252502679825, -0.11292549967765808, 0.008174045942723751, 0.0125778429210186, 0.06414656341075897, 0.0022038230672478676, -0.033106379210948944, -0.05123468115925789, 0.014626258052885532, -0.04227396473288536, 0.12121440470218658, -0.05948109179735184, -0.04056370630860329, -0.07721155136823654, 0.06253265589475632, 0.026732327416539192, -0.04501849040389061, -0.026212593540549278, -0.035516444593667984, 0.026087051257491112, -0.040808308869600296, 0.04887525364756584, -0.01792142167687416, -0.05214706435799599, -0.08010987192392349, -0.03296118974685669, -0.032447874546051025, -0.08187160640954971, 0.08772329241037369, 0.0359978973865509, 0.023118777200579643, 0.10749919712543488, -0.015475419349968433, 0.07175923138856888, -0.012780320830643177, 0.04232734814286232, 0.030487075448036194, 0.05155050754547119, -0.040554292500019073, 0.05475078895688057, 0.0027832030318677425, 0.03120213933289051, -0.020881451666355133, 0.019006827846169472, 0.027687033638358116, 0.08060751110315323, 0.03566899523139, 0.05641821026802063, -0.012689199298620224, 0.043831612914800644, 0.06254296004772186, -0.004619821440428495, -0.06600835174322128, 0.00098930555395782, -0.014637324959039688, -0.03297543525695801, -0.08381801098585129, -0.04039140045642853, -0.02686062455177307, 0.04104116931557655, -0.026499701663851738, 0.015668749809265137, 0.041926950216293335, 0.0016123874811455607 ]
1402.0491
Anupam Chattopadhyay
Anupam Chattopadhyay, Chander Chandak, Kaushik Chakraborty
Complexity Analysis of Reversible Logic Synthesis
14 pages, 6 figures, 4 tables
null
null
null
cs.ET
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Reversible logic circuit is a necessary construction for achieving ultra low power dissipation as well as for prominent post-CMOS computing technologies such as Quantum computing. Consequently automatic synthesis of a Boolean function using elementary reversible logic gates has received significant research attention in recent times, creating the domain of reversible logic synthesis. In this paper, we study the complexity of reversible logic synthesis. The problem is separately studied for bounded-ancilla and ancilla-free optimal synthesis approaches. The computational complexity for both cases are linked to known/presumed hard problems. Finally, experiments are performed with a shortest-path based reversible logic synthesis approach and a (0-1) ILP-based formulation.
[ { "created": "Mon, 3 Feb 2014 20:49:22 GMT", "version": "v1" }, { "created": "Fri, 9 May 2014 09:48:26 GMT", "version": "v2" }, { "created": "Tue, 24 Jun 2014 15:07:31 GMT", "version": "v3" } ]
2014-06-25
[ [ "Chattopadhyay", "Anupam", "" ], [ "Chandak", "Chander", "" ], [ "Chakraborty", "Kaushik", "" ] ]
[ 0.025557156652212143, 0.07427274435758591, 0.01805514469742775, 0.056905172765254974, -0.10079944133758545, -0.09220274537801743, -0.0199919231235981, -0.005823033396154642, 0.0033275515306741, 0.07074762880802155, -0.045743416994810104, -0.007186394650489092, -0.04101225361227989, -0.007715804502367973, -0.0655197948217392, 0.03784151002764702, -0.011329470202326775, 0.028652815148234367, 0.034218788146972656, -0.017431218177080154, -0.02144233137369156, 0.02960115857422352, -0.07854766398668289, -0.029993247240781784, 0.009037598967552185, 0.033195022493600845, 0.015540502034127712, -0.018007377162575722, -0.0018273091409355402, -0.06027265265583992, -0.01439298503100872, -0.006141992751508951, 0.02914264053106308, -0.03233340010046959, -0.012564857490360737, 0.06729447841644287, 0.07508363574743271, -0.024682411924004555, 0.05371614545583725, 0.036380164325237274, -0.04843045398592949, -0.011364095844328403, 0.056081511080265045, -0.009620994329452515, 0.0033231843262910843, 0.028906187042593956, -0.046605184674263, 0.013621214777231216, -0.005264046601951122, -0.018634244799613953, 0.1120029166340828, 0.08208689093589783, -0.03383541479706764, -0.0415845662355423, -0.002311140764504671, 0.013431000523269176, -0.030224697664380074, -0.011605224572122097, -0.042038626968860626, -0.015187498182058334, -0.08408889919519424, -0.03413346782326698, 0.022033801302313805, -0.008019404485821724, 0.03891019523143768, 0.0615529865026474, -0.01748383417725563, -0.06806904822587967, 0.016608690842986107, 0.07078588008880615, -0.02748221717774868, -0.07235432416200638, -0.014489833265542984, 0.01660919561982155, 0.012139745987951756, -0.026930037885904312, 0.07895472645759583, 0.031647939234972, 0.015717225149273872, 0.012488797307014465, 0.0021859456319361925, -0.07466243952512741, 0.019417796283960342, 0.02910371869802475, 0.040713630616664886, 0.004512227606028318, -0.06135464459657669, -0.001982660498470068, 0.13491299748420715, -0.01272551529109478, -0.03550485894083977, 0.017147773876786232, 0.06899107992649078, -0.050084326416254044, 0.048532549291849136, -0.030353523790836334, 0.012814294546842575, 0.001750509487465024, -0.010745231062173843, -0.016004430130124092, 0.0007805195637047291, 0.043064042925834656, 0.04241694137454033, 0.004910570569336414, 0.03615516051650047, 0.033846355974674225, 0.008524876087903976, 0.01236281543970108, -0.08602044731378555, -0.06286889314651489, 0.004551948048174381, 0.06991048902273178, 0.1191524937748909, -0.07012306153774261, 0.016968032345175743, 0.02481759712100029, -0.026357388123869896, 0.030490050092339516, 0.003447113558650017, -0.01221681758761406, -0.032150398939847946, -0.022479292005300522, -0.06941124051809311, 0.07747037708759308, -0.016437562182545662, -0.09510672837495804, -0.04108939319849014, 1.928784007936834e-33, -0.03677849844098091, 0.11837509274482727, 0.03352665901184082, 0.0030428452882915735, 0.09344222396612167, 0.012728212401270866, 0.09473222494125366, 0.0338997021317482, -0.04297434166073799, 0.02427421510219574, 0.05110950767993927, 0.04670044034719467, -0.048652973026037216, 0.012342596426606178, 0.11315703392028809, -0.028002861887216568, 0.038040511310100555, -0.01966048963367939, -0.023720633238554, -0.17015209794044495, 0.014153472147881985, -0.057228412479162216, 0.0032942965626716614, -0.021413810551166534, -0.0561429001390934, -0.04505477845668793, 0.05507093667984009, -0.024938244372606277, -0.05685904249548912, -0.04513145238161087, -0.05656944215297699, -0.03736082464456558, 0.02526802197098732, -0.012158115394413471, 0.010216349735856056, -0.008774221874773502, 0.01540061179548502, -0.047433797270059586, 0.06319241225719452, 0.03985227644443512, -0.050185997039079666, 0.005697822663933039, -0.0047017778269946575, -0.028399040922522545, -0.051407333463430405, -0.009144986979663372, -0.032900620251894, -0.005619470030069351, 0.009718925692141056, -0.05821577459573746, 0.05079076066613197, -0.007739269640296698, -0.08134438842535019, -0.011860906146466732, 0.047605957835912704, -0.06566007435321808, 0.0074292984791100025, 0.06504462659358978, 0.08224803954362869, 0.18320998549461365, -0.031705670058727264, 0.10005730390548706, -0.05647912994027138, 0.0517212338745594, -0.10601716488599777, 0.07649485021829605, -0.044847674667835236, -0.07163383066654205, 0.02988891489803791, -0.03354302793741226, -0.0001035187960951589, -0.0030895816162228584, 0.045008186250925064, -0.022905142977833748, 0.07525552064180374, -0.008154241368174553, -0.003712558187544346, -0.10384899377822876, 0.009481559507548809, -0.05006486922502518, -0.0005967611214146018, 0.03344782441854477, -0.07699783891439438, 0.07794718444347382, 0.09074021875858307, -0.10683988034725189, -0.04343709722161293, -0.013016683049499989, -0.0468003936111927, -0.04776130989193916, -0.05450138822197914, -0.039708372205495834, 0.12397195398807526, 0.0020842459052801132, 0.010508445091545582, -3.104383234895734e-33, -0.0023450497537851334, -0.022272441536188126, 0.04385460540652275, 0.04159948602318764, -0.05481734499335289, -0.06007370352745056, 0.007727812509983778, -0.00957443192601204, 0.14331914484500885, -0.004136872943490744, -0.02869386598467827, -0.016713634133338928, 0.10147527605295181, -0.06687416881322861, -0.01903134025633335, 0.07232744246721268, 0.014979183673858643, -0.01822991669178009, 0.0008955489029176533, 0.042418476194143295, 0.0013032155111432076, 0.09964681416749954, 0.006079866085201502, -0.0757128894329071, -0.035658325999975204, 0.048422396183013916, -0.037153299897909164, 0.09255136549472809, 0.08401847630739212, 0.02740631252527237, -0.029775327071547508, -0.005263864062726498, 0.05693911015987396, 0.0035730593372136354, -0.05856606364250183, 0.005822761449962854, -0.04060719534754753, 0.029675642028450966, -0.01021314226090908, -0.06328538805246353, 0.004461699165403843, -0.018734008073806763, 0.02699871174991131, 0.0055525340139865875, 0.03571712598204613, 0.07882008701562881, -0.05773971229791641, 0.023328011855483055, 0.06045528128743172, -0.01785130798816681, 0.033985793590545654, 0.009633982554078102, 0.009734292514622211, 0.07093165814876556, -0.0231254193931818, -0.01973634772002697, -0.042059265077114105, 0.018425337970256805, 0.14016298949718475, -0.03574909642338753, -0.027959434315562248, -0.07289846241474152, 0.16814939677715302, -0.06074664369225502, 0.026055745780467987, -0.005488843657076359, -0.029347168281674385, 0.05781196802854538, 0.018819309771060944, -0.020853767171502113, -0.016392262652516365, 0.04205732047557831, 0.03851470351219177, -0.04741327837109566, 0.04447299614548683, 0.004896948114037514, -0.011603063903748989, 0.00464453874155879, 0.005242558661848307, 0.026403028517961502, -0.03382253646850586, 0.02545975334942341, -0.030899889767169952, -0.03828020021319389, -0.04116978868842125, -0.022394627332687378, 0.012186427600681782, -0.0178964976221323, 0.010883284732699394, 0.05693972855806351, 0.013371600769460201, 0.03097514435648918, 0.12643389403820038, 0.018300296738743782, 0.02483980916440487, -3.587532404480953e-8, -0.012899346649646759, -0.06778358668088913, -0.0030158066656440496, -0.023838231340050697, 0.05645718798041344, -0.025860635563731194, 0.03332575038075447, -0.09242093563079834, 0.02629520371556282, -0.12080476433038712, -0.007121111266314983, 0.0396897979080677, 0.03583087772130966, 0.014134149998426437, -0.049179378896951675, 0.05664762109518051, -0.003927020821720362, -0.056760963052511215, 0.0336802676320076, 0.012396889738738537, -0.03843070939183235, -0.016018591821193695, -0.009794759564101696, 0.01081256102770567, 0.038006462156772614, -0.041678108274936676, -0.05367344245314598, -0.11401113122701645, 0.03956705704331398, 0.003983659669756889, -0.023943984881043434, 0.029102208092808723, 0.11047353595495224, 0.13772150874137878, 0.03533462435007095, -0.03248518705368042, -0.009805113077163696, -0.006253722123801708, -0.04968678578734398, -0.03523951396346092, -0.042949188500642776, 0.04591301083564758, -0.0871022567152977, 0.040427327156066895, -0.056534163653850555, -0.12407603859901428, 0.02930781990289688, -0.03626419976353645, -0.07447808235883713, -0.005206366069614887, 0.026524566113948822, -0.032143328338861465, 0.00552587304264307, -0.13492843508720398, 0.001576667302288115, 0.05948539450764656, -0.06851880997419357, 0.019752219319343567, -0.047197375446558, 0.03833511099219322, 0.013001597486436367, 0.04352380335330963, 0.025556055828928947, -0.05725667625665665 ]
null
null
null
null
null
null
null
[ 0.025557156652212143, 0.07427274435758591, 0.01805514469742775, 0.056905172765254974, -0.10079944133758545, -0.09220274537801743, -0.0199919231235981, -0.005823033396154642, 0.0033275515306741, 0.07074762880802155, -0.045743416994810104, -0.007186394650489092, -0.04101225361227989, -0.007715804502367973, -0.0655197948217392, 0.03784151002764702, -0.011329470202326775, 0.028652815148234367, 0.034218788146972656, -0.017431218177080154, -0.02144233137369156, 0.02960115857422352, -0.07854766398668289, -0.029993247240781784, 0.009037598967552185, 0.033195022493600845, 0.015540502034127712, -0.018007377162575722, -0.0018273091409355402, -0.06027265265583992, -0.01439298503100872, -0.006141992751508951, 0.02914264053106308, -0.03233340010046959, -0.012564857490360737, 0.06729447841644287, 0.07508363574743271, -0.024682411924004555, 0.05371614545583725, 0.036380164325237274, -0.04843045398592949, -0.011364095844328403, 0.056081511080265045, -0.009620994329452515, 0.0033231843262910843, 0.028906187042593956, -0.046605184674263, 0.013621214777231216, -0.005264046601951122, -0.018634244799613953, 0.1120029166340828, 0.08208689093589783, -0.03383541479706764, -0.0415845662355423, -0.002311140764504671, 0.013431000523269176, -0.030224697664380074, -0.011605224572122097, -0.042038626968860626, -0.015187498182058334, -0.08408889919519424, -0.03413346782326698, 0.022033801302313805, -0.008019404485821724, 0.03891019523143768, 0.0615529865026474, -0.01748383417725563, -0.06806904822587967, 0.016608690842986107, 0.07078588008880615, -0.02748221717774868, -0.07235432416200638, -0.014489833265542984, 0.01660919561982155, 0.012139745987951756, -0.026930037885904312, 0.07895472645759583, 0.031647939234972, 0.015717225149273872, 0.012488797307014465, 0.0021859456319361925, -0.07466243952512741, 0.019417796283960342, 0.02910371869802475, 0.040713630616664886, 0.004512227606028318, -0.06135464459657669, -0.001982660498470068, 0.13491299748420715, -0.01272551529109478, -0.03550485894083977, 0.017147773876786232, 0.06899107992649078, -0.050084326416254044, 0.048532549291849136, -0.030353523790836334, 0.012814294546842575, 0.001750509487465024, -0.010745231062173843, -0.016004430130124092, 0.0007805195637047291, 0.043064042925834656, 0.04241694137454033, 0.004910570569336414, 0.03615516051650047, 0.033846355974674225, 0.008524876087903976, 0.01236281543970108, -0.08602044731378555, -0.06286889314651489, 0.004551948048174381, 0.06991048902273178, 0.1191524937748909, -0.07012306153774261, 0.016968032345175743, 0.02481759712100029, -0.026357388123869896, 0.030490050092339516, 0.003447113558650017, -0.01221681758761406, -0.032150398939847946, -0.022479292005300522, -0.06941124051809311, 0.07747037708759308, -0.016437562182545662, -0.09510672837495804, -0.04108939319849014, 1.928784007936834e-33, -0.03677849844098091, 0.11837509274482727, 0.03352665901184082, 0.0030428452882915735, 0.09344222396612167, 0.012728212401270866, 0.09473222494125366, 0.0338997021317482, -0.04297434166073799, 0.02427421510219574, 0.05110950767993927, 0.04670044034719467, -0.048652973026037216, 0.012342596426606178, 0.11315703392028809, -0.028002861887216568, 0.038040511310100555, -0.01966048963367939, -0.023720633238554, -0.17015209794044495, 0.014153472147881985, -0.057228412479162216, 0.0032942965626716614, -0.021413810551166534, -0.0561429001390934, -0.04505477845668793, 0.05507093667984009, -0.024938244372606277, -0.05685904249548912, -0.04513145238161087, -0.05656944215297699, -0.03736082464456558, 0.02526802197098732, -0.012158115394413471, 0.010216349735856056, -0.008774221874773502, 0.01540061179548502, -0.047433797270059586, 0.06319241225719452, 0.03985227644443512, -0.050185997039079666, 0.005697822663933039, -0.0047017778269946575, -0.028399040922522545, -0.051407333463430405, -0.009144986979663372, -0.032900620251894, -0.005619470030069351, 0.009718925692141056, -0.05821577459573746, 0.05079076066613197, -0.007739269640296698, -0.08134438842535019, -0.011860906146466732, 0.047605957835912704, -0.06566007435321808, 0.0074292984791100025, 0.06504462659358978, 0.08224803954362869, 0.18320998549461365, -0.031705670058727264, 0.10005730390548706, -0.05647912994027138, 0.0517212338745594, -0.10601716488599777, 0.07649485021829605, -0.044847674667835236, -0.07163383066654205, 0.02988891489803791, -0.03354302793741226, -0.0001035187960951589, -0.0030895816162228584, 0.045008186250925064, -0.022905142977833748, 0.07525552064180374, -0.008154241368174553, -0.003712558187544346, -0.10384899377822876, 0.009481559507548809, -0.05006486922502518, -0.0005967611214146018, 0.03344782441854477, -0.07699783891439438, 0.07794718444347382, 0.09074021875858307, -0.10683988034725189, -0.04343709722161293, -0.013016683049499989, -0.0468003936111927, -0.04776130989193916, -0.05450138822197914, -0.039708372205495834, 0.12397195398807526, 0.0020842459052801132, 0.010508445091545582, -3.104383234895734e-33, -0.0023450497537851334, -0.022272441536188126, 0.04385460540652275, 0.04159948602318764, -0.05481734499335289, -0.06007370352745056, 0.007727812509983778, -0.00957443192601204, 0.14331914484500885, -0.004136872943490744, -0.02869386598467827, -0.016713634133338928, 0.10147527605295181, -0.06687416881322861, -0.01903134025633335, 0.07232744246721268, 0.014979183673858643, -0.01822991669178009, 0.0008955489029176533, 0.042418476194143295, 0.0013032155111432076, 0.09964681416749954, 0.006079866085201502, -0.0757128894329071, -0.035658325999975204, 0.048422396183013916, -0.037153299897909164, 0.09255136549472809, 0.08401847630739212, 0.02740631252527237, -0.029775327071547508, -0.005263864062726498, 0.05693911015987396, 0.0035730593372136354, -0.05856606364250183, 0.005822761449962854, -0.04060719534754753, 0.029675642028450966, -0.01021314226090908, -0.06328538805246353, 0.004461699165403843, -0.018734008073806763, 0.02699871174991131, 0.0055525340139865875, 0.03571712598204613, 0.07882008701562881, -0.05773971229791641, 0.023328011855483055, 0.06045528128743172, -0.01785130798816681, 0.033985793590545654, 0.009633982554078102, 0.009734292514622211, 0.07093165814876556, -0.0231254193931818, -0.01973634772002697, -0.042059265077114105, 0.018425337970256805, 0.14016298949718475, -0.03574909642338753, -0.027959434315562248, -0.07289846241474152, 0.16814939677715302, -0.06074664369225502, 0.026055745780467987, -0.005488843657076359, -0.029347168281674385, 0.05781196802854538, 0.018819309771060944, -0.020853767171502113, -0.016392262652516365, 0.04205732047557831, 0.03851470351219177, -0.04741327837109566, 0.04447299614548683, 0.004896948114037514, -0.011603063903748989, 0.00464453874155879, 0.005242558661848307, 0.026403028517961502, -0.03382253646850586, 0.02545975334942341, -0.030899889767169952, -0.03828020021319389, -0.04116978868842125, -0.022394627332687378, 0.012186427600681782, -0.0178964976221323, 0.010883284732699394, 0.05693972855806351, 0.013371600769460201, 0.03097514435648918, 0.12643389403820038, 0.018300296738743782, 0.02483980916440487, -3.587532404480953e-8, -0.012899346649646759, -0.06778358668088913, -0.0030158066656440496, -0.023838231340050697, 0.05645718798041344, -0.025860635563731194, 0.03332575038075447, -0.09242093563079834, 0.02629520371556282, -0.12080476433038712, -0.007121111266314983, 0.0396897979080677, 0.03583087772130966, 0.014134149998426437, -0.049179378896951675, 0.05664762109518051, -0.003927020821720362, -0.056760963052511215, 0.0336802676320076, 0.012396889738738537, -0.03843070939183235, -0.016018591821193695, -0.009794759564101696, 0.01081256102770567, 0.038006462156772614, -0.041678108274936676, -0.05367344245314598, -0.11401113122701645, 0.03956705704331398, 0.003983659669756889, -0.023943984881043434, 0.029102208092808723, 0.11047353595495224, 0.13772150874137878, 0.03533462435007095, -0.03248518705368042, -0.009805113077163696, -0.006253722123801708, -0.04968678578734398, -0.03523951396346092, -0.042949188500642776, 0.04591301083564758, -0.0871022567152977, 0.040427327156066895, -0.056534163653850555, -0.12407603859901428, 0.02930781990289688, -0.03626419976353645, -0.07447808235883713, -0.005206366069614887, 0.026524566113948822, -0.032143328338861465, 0.00552587304264307, -0.13492843508720398, 0.001576667302288115, 0.05948539450764656, -0.06851880997419357, 0.019752219319343567, -0.047197375446558, 0.03833511099219322, 0.013001597486436367, 0.04352380335330963, 0.025556055828928947, -0.05725667625665665 ]
1402.0494
Marko Gacesa
Marko Gacesa and Robin C\^ot\'e
Photoassociation of ultracold molecules near a Feshbach resonance as a probe of the electron-proton mass ratio variation
9 pages, 6 figures; submitted to the Journal of Molecular Spectroscopy
null
10.1016/j.jms.2014.03.005
null
physics.atom-ph
http://creativecommons.org/licenses/by-nc-sa/3.0/
We show that the photoassociation (PA) rate of ultracold diatomic molecules in the vicinity of a Feshbach resonance could be used to probe variations of the electron-to-proton mass ratio $\beta = m_e/m_p$, a quantity related to other fundamental constants via the $\Lambda_{\mathrm{QCD}}$ scale. The PA rate exhibits two features near a Feshbach resonance, a minimum and a maximum, which are very sensitive to the details of the interactions and the exact mass of the system. The effect and detection threshold are illustrated in the formation rates of ultracold Li$_2$ and LiNa molecules by performing coupled-channel calculations in an external magnetic field. We find that the PA rate is particularly sensitive near narrow Feshbach resonances in heavy molecules, where it might be possible to detect relative variability of $\beta$ on the order of $10^{-15}-10^{-16}$. We also use a two-channel model to derive a proportionality relation between the variation of the PA rate and $\beta$ applicable to diatomic molecules.
[ { "created": "Mon, 3 Feb 2014 20:56:20 GMT", "version": "v1" } ]
2015-06-18
[ [ "Gacesa", "Marko", "" ], [ "Côté", "Robin", "" ] ]
[ 0.0031458567827939987, -0.07426784187555313, -0.07305537164211273, 0.01574716530740261, -0.009475655853748322, -0.043388739228248596, -0.016215194016695023, 0.020145650953054428, 0.025497600436210632, -0.027114909142255783, 0.04134871065616608, 0.050091709941625595, -0.0433533675968647, -0.030932975932955742, 0.048932261765003204, 0.046045999974012375, 0.031837619841098785, -0.010722093284130096, -0.07117282599210739, 0.05969883129000664, -0.05771346762776375, -0.08860708028078079, 0.04346943646669388, -0.02839372307062149, -0.06449402123689651, -0.02960439957678318, 0.0636150911450386, 0.04302138090133667, -0.03449419513344765, -0.08188147097826004, 0.09533271938562393, -0.005910712759941816, -0.03266110643744469, -0.02868010848760605, 0.03126903623342514, -0.010695512406527996, -0.05062972381711006, -0.03231293335556984, -0.04753139987587929, -0.012704688124358654, 0.005749991629272699, -0.052875518798828125, -0.06838314980268478, -0.029223930090665817, 0.010010465048253536, -0.05362940952181816, 0.0360453762114048, 0.0028436603024601936, -0.02401650696992874, -0.07018996775150299, 0.051759954541921616, 0.0015305338893085718, -0.05085190385580063, 0.04916487634181976, -0.05539831519126892, -0.04026798903942108, -0.004105488304048777, 0.018784381449222565, -0.009646335616707802, -0.0009619956836104393, -0.05302460491657257, 0.10279855132102966, -0.08729293942451477, 0.039274558424949646, 0.03828616067767143, 0.0316474549472332, 0.07389575988054276, -0.06738684326410294, 0.06366617232561111, 0.039505746215581894, 0.022505616769194603, 0.036415498703718185, -0.019954824820160866, -0.04830886796116829, -0.005697417538613081, -0.016477426514029503, 0.04292875528335571, 0.01984318532049656, 0.08163570612668991, -0.03930479288101196, -0.046960167586803436, -0.023395810276269913, 0.030473055317997932, -0.08711317926645279, -0.005364026874303818, 0.004176510032266378, 0.02360750176012516, 0.05019635707139969, -0.05253027006983757, -0.026277877390384674, -0.0006510044331662357, -0.03358999639749527, -0.09901345521211624, 0.020101021975278854, 0.005285767838358879, 0.07108376175165176, 0.06707848608493805, -0.023247824981808662, 0.07388132810592651, 0.017218412831425667, 0.0812705010175705, 0.041262801736593246, -0.09599587321281433, 0.07970479130744934, 0.026489704847335815, -0.018622534349560738, 0.05858790874481201, 0.09866424649953842, -0.050932303071022034, 0.031801871955394745, 0.09916986525058746, 0.03624128922820091, -0.012661924585700035, 0.0009995150612667203, 0.0544448159635067, -0.016872068867087364, 0.08278197050094604, -0.004151386208832264, -0.03890459984540939, -0.019798506051301956, 0.03776296600699425, -0.04005533829331398, -0.03981070592999458, 0.03407642990350723, -0.014529936015605927, 0.06932277977466583, -0.08847679197788239, -1.905016614189161e-33, 0.07423245906829834, 0.06737817823886871, 0.017261428758502007, 0.006408982444554567, -0.07603292912244797, -0.03528958559036255, -0.029481330886483192, -0.030563130974769592, -0.17703722417354584, 0.06448306888341904, -0.016663309186697006, 0.019619891420006752, 0.0023863764945417643, -0.02705870382487774, 0.021934691816568375, -0.011664699763059616, -0.03714605048298836, 0.07373577356338501, 0.03464648872613907, -0.0054997969418764114, -0.015446205623447895, 0.07939337939023972, 0.007055765949189663, -0.0406063050031662, 0.04786399379372597, 0.10958347469568253, -0.008042474277317524, 0.04637029021978378, -0.02708924002945423, -0.020040009170770645, 0.0587150901556015, 0.028847089037299156, -0.07324323803186417, 0.07136909663677216, 0.06450968980789185, -0.04375526309013367, -0.010286655277013779, 0.019897902384400368, 0.040205590426921844, -0.11777474731206894, 0.06661634892225266, 0.002288299845531583, -0.017712969332933426, -0.044963497668504715, 0.03831280767917633, -0.046967871487140656, 0.04041743278503418, -0.07954249531030655, 0.0011702720075845718, -0.06658817827701569, 0.008206360042095184, -0.008143909275531769, -0.05185840651392937, 0.08699987083673477, 0.01675310730934143, -0.04638874530792236, 0.02671457827091217, -0.04311637580394745, 0.02487349510192871, 0.04989513382315636, 0.12026205658912659, 0.016101079061627388, 0.11009592562913895, 0.1029348149895668, 0.03464648500084877, 0.004979574121534824, -0.07778484374284744, 0.11032625287771225, 0.01233148667961359, 0.038922011852264404, -0.015569177456200123, 0.040259949862957, 0.08189471811056137, -0.130500927567482, 0.11959744989871979, -0.007720401510596275, 0.07805103063583374, -0.057317640632390976, 0.03491823375225067, 0.08048229664564133, 0.01793227344751358, -0.05551081895828247, -0.02617613412439823, -0.01247694343328476, -0.11662324517965317, -0.0005230019451119006, -0.0552649162709713, -0.07357250154018402, -0.130004420876503, -0.006134827621281147, 0.05765170231461525, 0.04031384363770485, 0.02457214705646038, -0.1058029904961586, -0.0343639999628067, -2.956568126357693e-33, 0.04263557121157646, 0.00426244642585516, 0.06155737489461899, -0.03060288354754448, -0.001839266624301672, -0.01694708876311779, 0.0034457650035619736, 0.03125084564089775, -0.024325499311089516, 0.01868729293346405, 0.06097789853811264, 0.04329976812005043, -0.05664464458823204, -0.14710243046283722, -0.02584177441895008, -0.05265969783067703, -0.06837710738182068, -0.0037068896926939487, 0.07240324467420578, 0.025992508977651596, -0.026498328894376755, 0.04371506720781326, 0.0958952009677887, -0.026076527312397957, 0.029283076524734497, -0.050222739577293396, 0.036621928215026855, -0.0883113443851471, 0.020059745758771896, -0.0271286740899086, -0.03669270873069763, 0.05200880020856857, -0.015099875628948212, 0.06206108257174492, -0.030785338953137398, 0.00959363579750061, -0.0067585124634206295, -0.02841426245868206, 0.011294253170490265, 0.05755956470966339, -0.021380305290222168, 0.04070243611931801, -0.07035689055919647, -0.06989136338233948, 0.08503407984972, 0.016626408323645592, -0.026532752439379692, 0.0037750988267362118, 0.05474288389086723, -0.0506553091108799, -0.0181945338845253, -0.0017245988128706813, -0.05729318782687187, 0.09909828007221222, -0.027771394699811935, 0.055206358432769775, 0.003626414807513356, 0.010719805024564266, 0.04266577586531639, -0.027259089052677155, -0.05542699620127678, -0.06265249848365784, -0.027222968637943268, -0.04490504786372185, -0.03859646990895271, 0.00794308353215456, -0.007009537890553474, 0.0522548109292984, 0.0038556477520614862, 0.04818815365433693, 0.03538569062948227, 0.006151098757982254, 0.05571170523762703, 0.020677654072642326, 0.00654888479039073, -0.02809564769268036, -0.002362714149057865, -0.06449174135923386, 0.035408079624176025, -0.0017638757126405835, 0.0037095167208462954, 0.02062969282269478, -0.032221704721450806, -0.04521341621875763, 0.02812260016798973, -0.07914403080940247, -0.038189902901649475, -0.07315398007631302, -0.08610915392637253, -0.06082751229405403, 0.057897914201021194, -0.049761008471250534, 0.062411341816186905, -0.06899738311767578, 0.025288477540016174, -5.656922041907819e-8, 0.04735862463712692, -0.04144090786576271, -0.018255658447742462, -0.0326586477458477, 0.04353936016559601, -0.06064874678850174, -0.013053564354777336, 0.06075378507375717, -0.015923863276839256, 0.032937005162239075, 0.08486002683639526, 0.04115862026810646, 0.018244577571749687, -0.020109063014388084, 0.02416611649096012, 0.08157757669687271, -0.007550229784101248, -0.11782829463481903, -0.0166776105761528, 0.061287857592105865, -0.038064200431108475, 0.0036253915168344975, -0.018417010083794594, -0.023719392716884613, -0.04324749484658241, 0.013767792843282223, -0.03750638663768768, 0.008105291053652763, 0.025939688086509705, -0.03002912551164627, 0.03826987370848656, -0.024769434705376625, 0.07750583440065384, 0.019665736705064774, 0.0036000742111355066, -0.03811804950237274, -0.10462946444749832, 0.00786644034087658, -0.03544272482395172, 0.03168637305498123, -0.05250545218586922, -0.02817685715854168, 0.0008444407139904797, 0.023837678134441376, -0.013684777542948723, 0.06348659098148346, -0.05691950395703316, 0.015234455466270447, -0.04922899603843689, 0.027305500581860542, 0.016361992806196213, 0.03281670808792114, -0.0194849893450737, -0.11140058934688568, -0.056151337921619415, 0.059946395456790924, -0.04758629575371742, -0.014433028176426888, 0.018903739750385284, 0.027201611548662186, 0.09770040959119797, 0.04011926427483559, -0.06697116047143936, -0.07102436572313309 ]
null
null
null
null
null
null
null
[ 0.0031458567827939987, -0.07426784187555313, -0.07305537164211273, 0.01574716530740261, -0.009475655853748322, -0.043388739228248596, -0.016215194016695023, 0.020145650953054428, 0.025497600436210632, -0.027114909142255783, 0.04134871065616608, 0.050091709941625595, -0.0433533675968647, -0.030932975932955742, 0.048932261765003204, 0.046045999974012375, 0.031837619841098785, -0.010722093284130096, -0.07117282599210739, 0.05969883129000664, -0.05771346762776375, -0.08860708028078079, 0.04346943646669388, -0.02839372307062149, -0.06449402123689651, -0.02960439957678318, 0.0636150911450386, 0.04302138090133667, -0.03449419513344765, -0.08188147097826004, 0.09533271938562393, -0.005910712759941816, -0.03266110643744469, -0.02868010848760605, 0.03126903623342514, -0.010695512406527996, -0.05062972381711006, -0.03231293335556984, -0.04753139987587929, -0.012704688124358654, 0.005749991629272699, -0.052875518798828125, -0.06838314980268478, -0.029223930090665817, 0.010010465048253536, -0.05362940952181816, 0.0360453762114048, 0.0028436603024601936, -0.02401650696992874, -0.07018996775150299, 0.051759954541921616, 0.0015305338893085718, -0.05085190385580063, 0.04916487634181976, -0.05539831519126892, -0.04026798903942108, -0.004105488304048777, 0.018784381449222565, -0.009646335616707802, -0.0009619956836104393, -0.05302460491657257, 0.10279855132102966, -0.08729293942451477, 0.039274558424949646, 0.03828616067767143, 0.0316474549472332, 0.07389575988054276, -0.06738684326410294, 0.06366617232561111, 0.039505746215581894, 0.022505616769194603, 0.036415498703718185, -0.019954824820160866, -0.04830886796116829, -0.005697417538613081, -0.016477426514029503, 0.04292875528335571, 0.01984318532049656, 0.08163570612668991, -0.03930479288101196, -0.046960167586803436, -0.023395810276269913, 0.030473055317997932, -0.08711317926645279, -0.005364026874303818, 0.004176510032266378, 0.02360750176012516, 0.05019635707139969, -0.05253027006983757, -0.026277877390384674, -0.0006510044331662357, -0.03358999639749527, -0.09901345521211624, 0.020101021975278854, 0.005285767838358879, 0.07108376175165176, 0.06707848608493805, -0.023247824981808662, 0.07388132810592651, 0.017218412831425667, 0.0812705010175705, 0.041262801736593246, -0.09599587321281433, 0.07970479130744934, 0.026489704847335815, -0.018622534349560738, 0.05858790874481201, 0.09866424649953842, -0.050932303071022034, 0.031801871955394745, 0.09916986525058746, 0.03624128922820091, -0.012661924585700035, 0.0009995150612667203, 0.0544448159635067, -0.016872068867087364, 0.08278197050094604, -0.004151386208832264, -0.03890459984540939, -0.019798506051301956, 0.03776296600699425, -0.04005533829331398, -0.03981070592999458, 0.03407642990350723, -0.014529936015605927, 0.06932277977466583, -0.08847679197788239, -1.905016614189161e-33, 0.07423245906829834, 0.06737817823886871, 0.017261428758502007, 0.006408982444554567, -0.07603292912244797, -0.03528958559036255, -0.029481330886483192, -0.030563130974769592, -0.17703722417354584, 0.06448306888341904, -0.016663309186697006, 0.019619891420006752, 0.0023863764945417643, -0.02705870382487774, 0.021934691816568375, -0.011664699763059616, -0.03714605048298836, 0.07373577356338501, 0.03464648872613907, -0.0054997969418764114, -0.015446205623447895, 0.07939337939023972, 0.007055765949189663, -0.0406063050031662, 0.04786399379372597, 0.10958347469568253, -0.008042474277317524, 0.04637029021978378, -0.02708924002945423, -0.020040009170770645, 0.0587150901556015, 0.028847089037299156, -0.07324323803186417, 0.07136909663677216, 0.06450968980789185, -0.04375526309013367, -0.010286655277013779, 0.019897902384400368, 0.040205590426921844, -0.11777474731206894, 0.06661634892225266, 0.002288299845531583, -0.017712969332933426, -0.044963497668504715, 0.03831280767917633, -0.046967871487140656, 0.04041743278503418, -0.07954249531030655, 0.0011702720075845718, -0.06658817827701569, 0.008206360042095184, -0.008143909275531769, -0.05185840651392937, 0.08699987083673477, 0.01675310730934143, -0.04638874530792236, 0.02671457827091217, -0.04311637580394745, 0.02487349510192871, 0.04989513382315636, 0.12026205658912659, 0.016101079061627388, 0.11009592562913895, 0.1029348149895668, 0.03464648500084877, 0.004979574121534824, -0.07778484374284744, 0.11032625287771225, 0.01233148667961359, 0.038922011852264404, -0.015569177456200123, 0.040259949862957, 0.08189471811056137, -0.130500927567482, 0.11959744989871979, -0.007720401510596275, 0.07805103063583374, -0.057317640632390976, 0.03491823375225067, 0.08048229664564133, 0.01793227344751358, -0.05551081895828247, -0.02617613412439823, -0.01247694343328476, -0.11662324517965317, -0.0005230019451119006, -0.0552649162709713, -0.07357250154018402, -0.130004420876503, -0.006134827621281147, 0.05765170231461525, 0.04031384363770485, 0.02457214705646038, -0.1058029904961586, -0.0343639999628067, -2.956568126357693e-33, 0.04263557121157646, 0.00426244642585516, 0.06155737489461899, -0.03060288354754448, -0.001839266624301672, -0.01694708876311779, 0.0034457650035619736, 0.03125084564089775, -0.024325499311089516, 0.01868729293346405, 0.06097789853811264, 0.04329976812005043, -0.05664464458823204, -0.14710243046283722, -0.02584177441895008, -0.05265969783067703, -0.06837710738182068, -0.0037068896926939487, 0.07240324467420578, 0.025992508977651596, -0.026498328894376755, 0.04371506720781326, 0.0958952009677887, -0.026076527312397957, 0.029283076524734497, -0.050222739577293396, 0.036621928215026855, -0.0883113443851471, 0.020059745758771896, -0.0271286740899086, -0.03669270873069763, 0.05200880020856857, -0.015099875628948212, 0.06206108257174492, -0.030785338953137398, 0.00959363579750061, -0.0067585124634206295, -0.02841426245868206, 0.011294253170490265, 0.05755956470966339, -0.021380305290222168, 0.04070243611931801, -0.07035689055919647, -0.06989136338233948, 0.08503407984972, 0.016626408323645592, -0.026532752439379692, 0.0037750988267362118, 0.05474288389086723, -0.0506553091108799, -0.0181945338845253, -0.0017245988128706813, -0.05729318782687187, 0.09909828007221222, -0.027771394699811935, 0.055206358432769775, 0.003626414807513356, 0.010719805024564266, 0.04266577586531639, -0.027259089052677155, -0.05542699620127678, -0.06265249848365784, -0.027222968637943268, -0.04490504786372185, -0.03859646990895271, 0.00794308353215456, -0.007009537890553474, 0.0522548109292984, 0.0038556477520614862, 0.04818815365433693, 0.03538569062948227, 0.006151098757982254, 0.05571170523762703, 0.020677654072642326, 0.00654888479039073, -0.02809564769268036, -0.002362714149057865, -0.06449174135923386, 0.035408079624176025, -0.0017638757126405835, 0.0037095167208462954, 0.02062969282269478, -0.032221704721450806, -0.04521341621875763, 0.02812260016798973, -0.07914403080940247, -0.038189902901649475, -0.07315398007631302, -0.08610915392637253, -0.06082751229405403, 0.057897914201021194, -0.049761008471250534, 0.062411341816186905, -0.06899738311767578, 0.025288477540016174, -5.656922041907819e-8, 0.04735862463712692, -0.04144090786576271, -0.018255658447742462, -0.0326586477458477, 0.04353936016559601, -0.06064874678850174, -0.013053564354777336, 0.06075378507375717, -0.015923863276839256, 0.032937005162239075, 0.08486002683639526, 0.04115862026810646, 0.018244577571749687, -0.020109063014388084, 0.02416611649096012, 0.08157757669687271, -0.007550229784101248, -0.11782829463481903, -0.0166776105761528, 0.061287857592105865, -0.038064200431108475, 0.0036253915168344975, -0.018417010083794594, -0.023719392716884613, -0.04324749484658241, 0.013767792843282223, -0.03750638663768768, 0.008105291053652763, 0.025939688086509705, -0.03002912551164627, 0.03826987370848656, -0.024769434705376625, 0.07750583440065384, 0.019665736705064774, 0.0036000742111355066, -0.03811804950237274, -0.10462946444749832, 0.00786644034087658, -0.03544272482395172, 0.03168637305498123, -0.05250545218586922, -0.02817685715854168, 0.0008444407139904797, 0.023837678134441376, -0.013684777542948723, 0.06348659098148346, -0.05691950395703316, 0.015234455466270447, -0.04922899603843689, 0.027305500581860542, 0.016361992806196213, 0.03281670808792114, -0.0194849893450737, -0.11140058934688568, -0.056151337921619415, 0.059946395456790924, -0.04758629575371742, -0.014433028176426888, 0.018903739750385284, 0.027201611548662186, 0.09770040959119797, 0.04011926427483559, -0.06697116047143936, -0.07102436572313309 ]
1402.0496
Konstantin Dorfman
Konstantin E. Dorfman and Shaul Mukamel
Multidimensional spectroscopy with entangled light; loop vs ladder delay scanning protocols
null
null
10.1088/1367-2630/16/3/033013
null
quant-ph physics.chem-ph physics.optics
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Multidimensional optical signals are commonly recorded by varying the delays between time ordered pulses. These control the evolution of the density matrix and are described by ladder diagrams. We propose a new non-time-ordered protocol based on following the time evolution of the wavefunction and described by loop diagrams. The time variables in this protocol allow to observe different types of resonances and reveal information about intraband dephasing not readily available by time ordered techniques. The time variables involved in this protocol become coupled when using entangled light, which provides high selectivity and background free measurement of the various resonances. Entangled light can resolve certain states even when strong background due to fast dephasing suppresses the resonant features when probed by classical light.
[ { "created": "Fri, 31 Jan 2014 23:34:50 GMT", "version": "v1" } ]
2015-06-18
[ [ "Dorfman", "Konstantin E.", "" ], [ "Mukamel", "Shaul", "" ] ]
[ -0.007056109607219696, -0.0503951720893383, -0.004183044657111168, -0.012568695470690727, -0.0947902575135231, 0.010855981148779392, -0.02225124090909958, -0.1251697838306427, 0.03256877511739731, -0.05859404057264328, 0.049428679049015045, 0.01892794854938984, -0.07925903797149658, -0.0020146011374890804, 0.005860411562025547, 0.07299650460481644, 0.03693985566496849, -0.05585885047912598, 0.010815485380589962, -0.01856628619134426, 0.004489816725254059, -0.11883465200662613, -0.047822825610637665, -0.0309595949947834, 0.002370452508330345, -0.018461167812347412, 0.06990884989500046, 0.01572027988731861, 0.02221456728875637, 0.0008206600323319435, 0.10193029791116714, 0.006116092205047607, -0.033347465097904205, -0.00254244077950716, -0.06532154232263565, -0.034553248435258865, 0.0863930732011795, -0.018836775794625282, 0.04723352566361427, 0.010761110112071037, 0.07352298498153687, 0.050366517156362534, -0.0569046214222908, -0.02729988284409046, -0.018339259549975395, 0.03546344116330147, 0.03474769741296768, 0.022774893790483475, -0.13326425850391388, -0.12148401141166687, 0.011336258612573147, 0.07251189649105072, -0.051115378737449646, -0.02256680093705654, 0.08986187726259232, 0.07001607865095139, 0.036793384701013565, 0.024319203570485115, -0.03917628526687622, -0.029089590534567833, -0.07874078303575516, -0.001940929563716054, -0.05906616151332855, -0.00969978328794241, 0.08041682094335556, 0.07568333297967911, -0.029525287449359894, 0.07746621966362, 0.008143221028149128, 0.07654479146003723, -0.012990934774279594, -0.013752928003668785, 0.052343353629112244, 0.016357524320483208, -0.007665635086596012, -0.0428582988679409, 0.015443671494722366, 0.015026543289422989, -0.08456805348396301, -0.07768784463405609, -0.008622602559626102, -0.008654136210680008, -0.006173714064061642, 0.08467467874288559, 0.09474219381809235, 0.004806084092706442, -0.045183245092630386, 0.0383288711309433, -0.15338808298110962, -0.07763942331075668, -0.06663540750741959, -0.08555030077695847, -0.06510268896818161, -0.021855074912309647, 0.04632022976875305, 0.029960932210087776, 0.11185833066701889, -0.0270574651658535, 0.020082486793398857, -0.01814911514520645, 0.01837763749063015, -0.05526106804609299, -0.0435345396399498, 0.06010236218571663, -0.004041038919240236, -0.06433045864105225, 0.07797351479530334, 0.0727505087852478, -0.040945470333099365, 0.021871432662010193, 0.04949689656496048, -0.053185414522886276, 0.05775579437613487, 0.03240914270281792, -0.08487152308225632, 0.07797615975141525, -0.015219449996948242, 0.047638505697250366, 0.07525455951690674, -0.07218010723590851, 0.03594313561916351, -0.003758619772270322, 0.0072241597808897495, -0.03611993417143822, -0.054816678166389465, 0.08601849526166916, 0.017535841092467308, 4.227924041489538e-33, 0.007500926963984966, -0.05775139108300209, -0.005289189517498016, -0.02493707463145256, 0.012137152254581451, 0.046924978494644165, 0.08394476771354675, -0.08180798590183258, -0.04895329102873802, 0.05411897972226143, 0.0523882620036602, 0.016756411641836166, 0.0001764650223776698, -0.01776634156703949, -0.07405805587768555, -0.02180497720837593, 0.0036049706395715475, 0.10863031446933746, -0.024215562269091606, -0.000586239097174257, 0.03627772256731987, -0.03254242613911629, -0.08239515870809555, -0.0034971677232533693, -0.044054269790649414, -0.03165174275636673, 0.03428483381867409, 0.029224639758467674, 0.02612290345132351, -0.01586894690990448, -0.044346459209918976, 0.14470969140529633, -0.03376995399594307, -0.01334322802722454, 0.12339317798614502, -0.024804802611470222, 0.08087213337421417, -0.0013218268286436796, 0.01445878017693758, -0.03425486385822296, 0.006848222576081753, -0.028331400826573372, -0.03381907567381859, -0.03257610276341438, -0.0455942377448082, -0.037932392209768295, -0.042965732514858246, -0.0025182864628732204, 0.007154409307986498, 0.001370293670333922, 0.049650032073259354, -0.08061140030622482, 0.02842112071812153, -0.06914129853248596, 0.08472134917974472, -0.04709514230489731, 0.05122508481144905, 0.05136589705944061, -0.013588604517281055, 0.03936995193362236, 0.02901918813586235, -0.02833542600274086, 0.04513654112815857, -0.04435145482420921, 0.037488821893930435, 0.03029695898294449, -0.07624076306819916, -0.022984160110354424, 0.0707501620054245, 0.0028838610742241144, -0.00698339706286788, 0.11879878491163254, 0.023763323202729225, -0.059630755335092545, 0.06651551276445389, 0.024994688108563423, -0.00005695700383512303, 0.02821877971291542, 0.02576475217938423, 0.047676149755716324, 0.06261127442121506, -0.0728822648525238, -0.07935637980699539, 0.05265692248940468, 0.025345008820295334, 0.0528273731470108, -0.0755641832947731, -0.0057328264228999615, -0.09910836815834045, -0.007879568263888359, -0.07746180891990662, 0.02785133756697178, 0.06353253871202469, -0.03770415112376213, -0.018833056092262268, -4.4716745500760475e-33, 0.05763484165072441, 0.006877213716506958, 0.04257098585367203, -0.010644076392054558, 0.09121106564998627, 0.03132586553692818, -0.02232065051794052, 0.01437937468290329, 0.03636908903717995, 0.06375548988580704, 0.15187740325927734, -0.03599826246500015, -0.04434138536453247, 0.004294116050004959, 0.039128705859184265, 0.040611617267131805, 0.003748777322471142, -0.09875799715518951, 0.0569881796836853, -0.07603707164525986, 0.018513908609747887, -0.020717354491353035, -0.01642507128417492, 0.03928809240460396, -0.03248782083392143, 0.06826354563236237, 0.061966393142938614, 0.07882560044527054, 0.015141671523451805, 0.005034270230680704, -0.034620337188243866, -0.0038322212640196085, -0.0178765207529068, 0.03916918858885765, -0.06768561154603958, 0.08478876948356628, 0.008145838975906372, -0.01791682466864586, -0.056792549788951874, -0.010243880562484264, -0.003294512862339616, 0.061860937625169754, 0.020902954041957855, 0.0032614164520055056, 0.0005107653560116887, -0.029966771602630615, -0.03689977526664734, 0.02610628679394722, -0.06817784160375595, -0.022528866305947304, -0.01138676330447197, 0.051530126482248306, 0.013775848783552647, -0.016799358651041985, -0.06703149527311325, 0.04168638214468956, 0.014555459842085838, 0.06693584471940994, 0.07249963283538818, 0.059021949768066406, 0.00600875448435545, 0.009930282831192017, 0.07121719419956207, -0.011767762713134289, -0.0005714241415262222, 0.04340134933590889, 0.022571975365281105, -0.07663911581039429, 0.02511945180594921, 0.031221158802509308, 0.0648183673620224, -0.021819274872541428, -0.0521397702395916, -0.01856343261897564, 0.09986802935600281, 0.005028873216360807, -0.06855461001396179, 0.04630637913942337, -0.009866827167570591, 0.03620273619890213, 0.010906711220741272, 0.019940482452511787, -0.008878706023097038, 0.08238282054662704, -0.016646523028612137, -0.01171126589179039, -0.05892549455165863, -0.03307684138417244, -0.02651061676442623, -0.04376247897744179, 0.015871645882725716, 0.025920573621988297, -0.007365358993411064, 0.006991827394813299, 0.09700431674718857, -4.491097627123963e-8, 0.011214259080588818, -0.07088333368301392, -0.0013573471223935485, -0.002636667573824525, 0.003545523853972554, -0.029912110418081284, -0.001874817768111825, -0.025448493659496307, 0.04423002526164055, -0.07211390882730484, 0.08798356354236603, -0.05988043174147606, -0.04431933909654617, -0.016510922461748123, 0.02617267705500126, -0.03984060883522034, 0.025748107582330704, -0.15549485385417938, -0.04031417891383171, -0.07961539924144745, -0.010408943518996239, 0.027272185310721397, 0.07323895394802094, -0.006119484547525644, -0.05813094601035118, 0.03759251534938812, -0.010611221194267273, 0.007981065660715103, 0.08260340243577957, 0.020101875066757202, 0.04582579433917999, 0.03860108181834221, -0.013000424019992352, 0.029982611536979675, -0.10282734781503677, -0.023369237780570984, -0.11374664306640625, -0.0020007435232400894, -0.025632603093981743, -0.03413689509034157, -0.028066493570804596, 0.02671496756374836, -0.09135352075099945, 0.033826105296611786, -0.0026345234364271164, 0.039563462138175964, 0.05818949639797211, -0.013489745557308197, -0.040178023278713226, 0.07457700371742249, -0.045763347297906876, -0.015323705039918423, 0.0036346442066133022, -0.030438179150223732, -0.09728140383958817, 0.04171957075595856, -0.015110665000975132, -0.008028439246118069, 0.010046503506600857, 0.054863035678863525, -0.01168845221400261, 0.015527897514402866, 0.03685390576720238, 0.050512488931417465 ]
null
null
null
null
null
null
null
[ -0.007056109607219696, -0.0503951720893383, -0.004183044657111168, -0.012568695470690727, -0.0947902575135231, 0.010855981148779392, -0.02225124090909958, -0.1251697838306427, 0.03256877511739731, -0.05859404057264328, 0.049428679049015045, 0.01892794854938984, -0.07925903797149658, -0.0020146011374890804, 0.005860411562025547, 0.07299650460481644, 0.03693985566496849, -0.05585885047912598, 0.010815485380589962, -0.01856628619134426, 0.004489816725254059, -0.11883465200662613, -0.047822825610637665, -0.0309595949947834, 0.002370452508330345, -0.018461167812347412, 0.06990884989500046, 0.01572027988731861, 0.02221456728875637, 0.0008206600323319435, 0.10193029791116714, 0.006116092205047607, -0.033347465097904205, -0.00254244077950716, -0.06532154232263565, -0.034553248435258865, 0.0863930732011795, -0.018836775794625282, 0.04723352566361427, 0.010761110112071037, 0.07352298498153687, 0.050366517156362534, -0.0569046214222908, -0.02729988284409046, -0.018339259549975395, 0.03546344116330147, 0.03474769741296768, 0.022774893790483475, -0.13326425850391388, -0.12148401141166687, 0.011336258612573147, 0.07251189649105072, -0.051115378737449646, -0.02256680093705654, 0.08986187726259232, 0.07001607865095139, 0.036793384701013565, 0.024319203570485115, -0.03917628526687622, -0.029089590534567833, -0.07874078303575516, -0.001940929563716054, -0.05906616151332855, -0.00969978328794241, 0.08041682094335556, 0.07568333297967911, -0.029525287449359894, 0.07746621966362, 0.008143221028149128, 0.07654479146003723, -0.012990934774279594, -0.013752928003668785, 0.052343353629112244, 0.016357524320483208, -0.007665635086596012, -0.0428582988679409, 0.015443671494722366, 0.015026543289422989, -0.08456805348396301, -0.07768784463405609, -0.008622602559626102, -0.008654136210680008, -0.006173714064061642, 0.08467467874288559, 0.09474219381809235, 0.004806084092706442, -0.045183245092630386, 0.0383288711309433, -0.15338808298110962, -0.07763942331075668, -0.06663540750741959, -0.08555030077695847, -0.06510268896818161, -0.021855074912309647, 0.04632022976875305, 0.029960932210087776, 0.11185833066701889, -0.0270574651658535, 0.020082486793398857, -0.01814911514520645, 0.01837763749063015, -0.05526106804609299, -0.0435345396399498, 0.06010236218571663, -0.004041038919240236, -0.06433045864105225, 0.07797351479530334, 0.0727505087852478, -0.040945470333099365, 0.021871432662010193, 0.04949689656496048, -0.053185414522886276, 0.05775579437613487, 0.03240914270281792, -0.08487152308225632, 0.07797615975141525, -0.015219449996948242, 0.047638505697250366, 0.07525455951690674, -0.07218010723590851, 0.03594313561916351, -0.003758619772270322, 0.0072241597808897495, -0.03611993417143822, -0.054816678166389465, 0.08601849526166916, 0.017535841092467308, 4.227924041489538e-33, 0.007500926963984966, -0.05775139108300209, -0.005289189517498016, -0.02493707463145256, 0.012137152254581451, 0.046924978494644165, 0.08394476771354675, -0.08180798590183258, -0.04895329102873802, 0.05411897972226143, 0.0523882620036602, 0.016756411641836166, 0.0001764650223776698, -0.01776634156703949, -0.07405805587768555, -0.02180497720837593, 0.0036049706395715475, 0.10863031446933746, -0.024215562269091606, -0.000586239097174257, 0.03627772256731987, -0.03254242613911629, -0.08239515870809555, -0.0034971677232533693, -0.044054269790649414, -0.03165174275636673, 0.03428483381867409, 0.029224639758467674, 0.02612290345132351, -0.01586894690990448, -0.044346459209918976, 0.14470969140529633, -0.03376995399594307, -0.01334322802722454, 0.12339317798614502, -0.024804802611470222, 0.08087213337421417, -0.0013218268286436796, 0.01445878017693758, -0.03425486385822296, 0.006848222576081753, -0.028331400826573372, -0.03381907567381859, -0.03257610276341438, -0.0455942377448082, -0.037932392209768295, -0.042965732514858246, -0.0025182864628732204, 0.007154409307986498, 0.001370293670333922, 0.049650032073259354, -0.08061140030622482, 0.02842112071812153, -0.06914129853248596, 0.08472134917974472, -0.04709514230489731, 0.05122508481144905, 0.05136589705944061, -0.013588604517281055, 0.03936995193362236, 0.02901918813586235, -0.02833542600274086, 0.04513654112815857, -0.04435145482420921, 0.037488821893930435, 0.03029695898294449, -0.07624076306819916, -0.022984160110354424, 0.0707501620054245, 0.0028838610742241144, -0.00698339706286788, 0.11879878491163254, 0.023763323202729225, -0.059630755335092545, 0.06651551276445389, 0.024994688108563423, -0.00005695700383512303, 0.02821877971291542, 0.02576475217938423, 0.047676149755716324, 0.06261127442121506, -0.0728822648525238, -0.07935637980699539, 0.05265692248940468, 0.025345008820295334, 0.0528273731470108, -0.0755641832947731, -0.0057328264228999615, -0.09910836815834045, -0.007879568263888359, -0.07746180891990662, 0.02785133756697178, 0.06353253871202469, -0.03770415112376213, -0.018833056092262268, -4.4716745500760475e-33, 0.05763484165072441, 0.006877213716506958, 0.04257098585367203, -0.010644076392054558, 0.09121106564998627, 0.03132586553692818, -0.02232065051794052, 0.01437937468290329, 0.03636908903717995, 0.06375548988580704, 0.15187740325927734, -0.03599826246500015, -0.04434138536453247, 0.004294116050004959, 0.039128705859184265, 0.040611617267131805, 0.003748777322471142, -0.09875799715518951, 0.0569881796836853, -0.07603707164525986, 0.018513908609747887, -0.020717354491353035, -0.01642507128417492, 0.03928809240460396, -0.03248782083392143, 0.06826354563236237, 0.061966393142938614, 0.07882560044527054, 0.015141671523451805, 0.005034270230680704, -0.034620337188243866, -0.0038322212640196085, -0.0178765207529068, 0.03916918858885765, -0.06768561154603958, 0.08478876948356628, 0.008145838975906372, -0.01791682466864586, -0.056792549788951874, -0.010243880562484264, -0.003294512862339616, 0.061860937625169754, 0.020902954041957855, 0.0032614164520055056, 0.0005107653560116887, -0.029966771602630615, -0.03689977526664734, 0.02610628679394722, -0.06817784160375595, -0.022528866305947304, -0.01138676330447197, 0.051530126482248306, 0.013775848783552647, -0.016799358651041985, -0.06703149527311325, 0.04168638214468956, 0.014555459842085838, 0.06693584471940994, 0.07249963283538818, 0.059021949768066406, 0.00600875448435545, 0.009930282831192017, 0.07121719419956207, -0.011767762713134289, -0.0005714241415262222, 0.04340134933590889, 0.022571975365281105, -0.07663911581039429, 0.02511945180594921, 0.031221158802509308, 0.0648183673620224, -0.021819274872541428, -0.0521397702395916, -0.01856343261897564, 0.09986802935600281, 0.005028873216360807, -0.06855461001396179, 0.04630637913942337, -0.009866827167570591, 0.03620273619890213, 0.010906711220741272, 0.019940482452511787, -0.008878706023097038, 0.08238282054662704, -0.016646523028612137, -0.01171126589179039, -0.05892549455165863, -0.03307684138417244, -0.02651061676442623, -0.04376247897744179, 0.015871645882725716, 0.025920573621988297, -0.007365358993411064, 0.006991827394813299, 0.09700431674718857, -4.491097627123963e-8, 0.011214259080588818, -0.07088333368301392, -0.0013573471223935485, -0.002636667573824525, 0.003545523853972554, -0.029912110418081284, -0.001874817768111825, -0.025448493659496307, 0.04423002526164055, -0.07211390882730484, 0.08798356354236603, -0.05988043174147606, -0.04431933909654617, -0.016510922461748123, 0.02617267705500126, -0.03984060883522034, 0.025748107582330704, -0.15549485385417938, -0.04031417891383171, -0.07961539924144745, -0.010408943518996239, 0.027272185310721397, 0.07323895394802094, -0.006119484547525644, -0.05813094601035118, 0.03759251534938812, -0.010611221194267273, 0.007981065660715103, 0.08260340243577957, 0.020101875066757202, 0.04582579433917999, 0.03860108181834221, -0.013000424019992352, 0.029982611536979675, -0.10282734781503677, -0.023369237780570984, -0.11374664306640625, -0.0020007435232400894, -0.025632603093981743, -0.03413689509034157, -0.028066493570804596, 0.02671496756374836, -0.09135352075099945, 0.033826105296611786, -0.0026345234364271164, 0.039563462138175964, 0.05818949639797211, -0.013489745557308197, -0.040178023278713226, 0.07457700371742249, -0.045763347297906876, -0.015323705039918423, 0.0036346442066133022, -0.030438179150223732, -0.09728140383958817, 0.04171957075595856, -0.015110665000975132, -0.008028439246118069, 0.010046503506600857, 0.054863035678863525, -0.01168845221400261, 0.015527897514402866, 0.03685390576720238, 0.050512488931417465 ]
1402.0497
Costantino Sigismondi
Costantino Sigismondi and Sergio Calderari Boscardin
The Figure of the Sun from Ground-based Experiments
14 pages, 8 color figures, proceedings of VI IWARA Meeting, Rio de Janeiro 30 sept - 3 oct 2013, CBPF. To appear in SLAC eConf/C1309292
null
null
null
astro-ph.SR astro-ph.IM physics.hist-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The figure of the Sun reflects its inner structure and dynamics, influencing also the perihelion precession of close orbiting bodies, like Mercury. To study the solar figure from ground, the deformation on the solar image induced by the atmosphere has to be known up to one part over a million, and this is done through differential refraction models: a historical review of them is drafted. The solar oblateness has been investigated in order to validate alternative theories to General Relativity and to understand the internal dynamics of our star. The solar figure should possess only micro departures from sphericity according to the standard stellar structure theory and helioseismology data, though variations along the cycle has been observed. Ground-based and satellite data show contrasting observational results. The oblateness measured onboard RHESSI satellite, the one of SDS onboard a stratospheric ballon and that one of the Astrolabe of Rio de Janeiro are presented with their implications in classical and relativistic gravitation. The perspectives offered by the reflecting heliometer in the future measurement of the oblateness are depicted.
[ { "created": "Sat, 1 Feb 2014 01:28:47 GMT", "version": "v1" } ]
2014-02-05
[ [ "Sigismondi", "Costantino", "" ], [ "Boscardin", "Sergio Calderari", "" ] ]
[ -0.021951965987682343, 0.013529640622437, 0.023457318544387817, -0.006587241310626268, 0.014775280840694904, -0.07024490088224411, 0.014740020036697388, 0.05490177124738693, 0.038790151476860046, -0.058823276311159134, -0.004012230783700943, -0.030743835493922234, -0.05255875736474991, -0.021635452285408974, 0.037886373698711395, -0.08177180588245392, -0.006440510042011738, 0.01462248433381319, -0.0005249145324341953, 0.043211206793785095, 0.025591162964701653, -0.029122984036803246, -0.09512417763471603, 0.02840076945722103, 0.05103776603937149, 0.060484230518341064, -0.03328259661793709, -0.038389015942811966, -0.02850390039384365, -0.0033032826613634825, -0.014286436140537262, -0.001898553455248475, -0.03796638175845146, 0.047013603150844574, 0.03330203518271446, 0.02065097726881504, 0.11647982150316238, -0.06113375350832939, 0.02516055479645729, -0.01095537468791008, -0.035838741809129715, -0.02121245115995407, -0.011267181485891342, 0.059710316359996796, 0.002964039333164692, -0.004624298308044672, 0.06676267832517624, -0.013552888296544552, -0.04733829200267792, 0.006725350860506296, 0.012930117547512054, -0.018278146162629128, -0.037658847868442535, 0.016654156148433685, 0.06428039819002151, 0.06107271835207939, -0.03800451382994652, -0.03809449076652527, 0.0399518646299839, -0.03278662636876106, 0.001818126067519188, 0.05147799849510193, -0.08067315816879272, 0.04963470995426178, -0.04323110356926918, 0.027862824499607086, 0.009475994855165482, -0.07601282000541687, -0.019182143732905388, 0.0003159724292345345, -0.03190026804804802, 0.08846794068813324, 0.003371536498889327, -0.06530619412660599, -0.02952008694410324, 0.05707995221018791, 0.056257449090480804, 0.010848752222955227, 0.07015268504619598, -0.1008468046784401, 0.05601103603839874, 0.07469017058610916, -0.0686754360795021, 0.03655116260051727, -0.10178545862436295, -0.032498959451913834, -0.014909515157341957, 0.01906285434961319, -0.0011727821547538042, 0.007809136528521776, 0.051009394228458405, -0.03162907809019089, -0.11370973289012909, -0.05021386966109276, 0.006675982382148504, 0.04833279550075531, -0.00520391296595335, -0.04815595597028732, 0.15021847188472748, 0.05278421565890312, 0.0421733595430851, 0.047270677983760834, -0.028276730328798294, 0.1441078782081604, 0.012299376539885998, 0.01297404058277607, 0.0059228017926216125, 0.007991451770067215, -0.052086349576711655, 0.0472862645983696, -0.015560362488031387, -0.0020670571830123663, -0.057209745049476624, -0.04433083161711693, -0.0742669627070427, 0.06660766154527664, -0.058695677667856216, 0.05233824625611305, -0.09100241959095001, -0.0732288509607315, -0.04834281653165817, 0.048104576766490936, 0.03759697079658508, 0.12736254930496216, 0.07437576353549957, -0.07049193978309631, 0.0013578400248661637, 2.4148924316461132e-33, 0.026848191395401955, 0.05419667065143585, 0.047963947057724, -0.002798168919980526, -0.07967526465654373, 0.03143492341041565, -0.06384056806564331, 0.08837703615427017, 0.011648708023130894, -0.016485312953591347, -0.11007219552993774, -0.030339695513248444, 0.014237015508115292, -0.01324656791985035, 0.019211461767554283, 0.013474280014634132, 0.047132886946201324, 0.005616499576717615, -0.03782958537340164, 0.024519378319382668, -0.09492014348506927, 0.011124888435006142, -0.030392084270715714, -0.11208495497703552, -0.0659521296620369, 0.08276336640119553, 0.01331224013119936, -0.002765106037259102, -0.025286711752414703, 0.013953737914562225, 0.045291751623153687, -0.027306757867336273, 0.0037585587706416845, 0.09860417246818542, -0.018587149679660797, -0.02734609693288803, -0.036476194858551025, 0.025445416569709778, -0.08617483079433441, -0.027178091928362846, 0.07481101155281067, 0.05633606016635895, -0.03272489830851555, 0.03377252817153931, 0.02764398790895939, 0.017334070056676865, 0.04702604562044144, -0.02513035573065281, 0.006509861908853054, 0.03426230326294899, 0.02270776964724064, 0.050210002809762955, -0.060916535556316376, -0.022802727296948433, 0.01301726046949625, 0.017335033044219017, 0.010501685552299023, -0.03470577672123909, -0.1054149940609932, 0.006910885684192181, 0.05242430791258812, -0.04723251610994339, 0.048627983778715134, 0.015593976713716984, -0.00339092337526381, 0.07611165940761566, -0.07097646594047546, -0.0027265248354524374, -0.045420870184898376, -0.02448607049882412, -0.061992473900318146, 0.07358366250991821, 0.05569959804415703, 0.026873772963881493, -0.04654019698500633, 0.04790002852678299, 0.02242739126086235, 0.06617012619972229, -0.0564887709915638, 0.05473925545811653, -0.09664532542228699, 0.00718705402687192, 0.014715081080794334, -0.051995862275362015, -0.04711172729730606, 0.039694495499134064, 0.013551358133554459, 0.02512260153889656, 0.05112801864743233, -0.02181120775640011, 0.02299678511917591, -0.003490968607366085, -0.04351004585623741, -0.07840614765882492, -0.07555272430181503, -4.798923728479326e-33, -0.00026023387908935547, -0.009759018197655678, -0.028616035357117653, -0.025751447305083275, -0.014724369160830975, 0.03449977934360504, -0.014662464149296284, 0.1429307907819748, -0.0534791424870491, -0.06240173429250717, -0.0024815627839416265, -0.008063789457082748, 0.03572447970509529, -0.11309609562158585, -0.0548071525990963, -0.0019467816455289721, -0.0639590248465538, 0.05541026219725609, -0.09015078097581863, 0.04044537991285324, 0.015935933217406273, 0.07293886691331863, 0.011454202234745026, -0.06744657456874847, -0.023848198354244232, -0.014212321490049362, 0.03267233073711395, -0.03377716988325119, -0.05557432025671005, 0.0761328712105751, 0.0015513526741415262, -0.03402337059378624, -0.02614939585328102, -0.010823823511600494, 0.006732169538736343, 0.060596153140068054, -0.0452379547059536, 0.0016305434983223677, -0.05790083855390549, 0.0208123829215765, -0.05292448773980141, 0.1112736165523529, -0.01671265996992588, -0.05939754098653793, 0.03637396916747093, 0.009872914291918278, -0.026563100516796112, 0.10487262159585953, 0.026507655158638954, 0.0016401653410866857, -0.11718808114528656, -0.02751396968960762, 0.023008260875940323, 0.04447373002767563, 0.06947536021471024, 0.06661493331193924, -0.03676151856780052, -0.0011938706738874316, 0.010477057658135891, -0.016723373904824257, 0.009593388997018337, -0.06447872519493103, 0.025942480191588402, -0.029835205525159836, 0.0033904893789440393, -0.08613855391740799, -0.011487923562526703, -0.024165265262126923, -0.02029433101415634, 0.05032465606927872, 0.01625317893922329, -0.15147162973880768, -0.10946590453386307, 0.06713175773620605, 0.03947583958506584, 0.01683143526315689, 0.07425089925527573, -0.038320887833833694, -0.005083590745925903, 0.07673600316047668, -0.018695076927542686, -0.002330309711396694, 0.06339237838983536, 0.06508377194404602, 0.03031451813876629, 0.035530637949705124, -0.0607345886528492, -0.08831073343753815, -0.017185188829898834, 0.05345820635557175, -0.040512580424547195, 0.03938593715429306, 0.006839171051979065, 0.057660575956106186, 0.017730478197336197, -5.27169135011718e-8, 0.03879192844033241, -0.02787637710571289, 0.047914158552885056, 0.06101684272289276, -0.026521051302552223, 0.035126134753227234, -0.02899756468832493, -0.025968261063098907, -0.03040764108300209, -0.05280125513672829, 0.002982987789437175, -0.07765484601259232, -0.024927284568548203, -0.07234058529138565, -0.1260857731103897, 0.027239108458161354, 0.04631189629435539, -0.020419983193278313, -0.026260560378432274, 0.09714393317699432, -0.04887046664953232, 0.021196924149990082, 0.05109243094921112, -0.023572616279125214, 0.05974547564983368, 0.02899433858692646, 0.005190682131797075, 0.07906756550073624, -0.03291263431310654, -0.01607748679816723, 0.030253464356064796, 0.03739834204316139, 0.04679996147751808, -0.11290682107210159, -0.0998268574476242, 0.02986273355782032, -0.01904580555856228, 0.12649741768836975, 0.03196066990494728, 0.058840662240982056, 0.04987938329577446, 0.023640943691134453, -0.0243601743131876, 0.04705960676074028, 0.08920525014400482, 0.11409693211317062, 0.01711161434650421, -0.05950146168470383, -0.07122910767793655, 0.03095966763794422, 0.0028657149523496628, 0.04318743199110031, -0.029313797131180763, -0.05444232374429703, -0.037943772971630096, -0.01464134268462658, -0.050552815198898315, 0.013476754538714886, 0.01522801909595728, 0.04628943279385567, 0.009336384944617748, 0.05639312416315079, -0.06661797314882278, -0.038549136370420456 ]
null
null
null
null
null
null
null
[ -0.021951965987682343, 0.013529640622437, 0.023457318544387817, -0.006587241310626268, 0.014775280840694904, -0.07024490088224411, 0.014740020036697388, 0.05490177124738693, 0.038790151476860046, -0.058823276311159134, -0.004012230783700943, -0.030743835493922234, -0.05255875736474991, -0.021635452285408974, 0.037886373698711395, -0.08177180588245392, -0.006440510042011738, 0.01462248433381319, -0.0005249145324341953, 0.043211206793785095, 0.025591162964701653, -0.029122984036803246, -0.09512417763471603, 0.02840076945722103, 0.05103776603937149, 0.060484230518341064, -0.03328259661793709, -0.038389015942811966, -0.02850390039384365, -0.0033032826613634825, -0.014286436140537262, -0.001898553455248475, -0.03796638175845146, 0.047013603150844574, 0.03330203518271446, 0.02065097726881504, 0.11647982150316238, -0.06113375350832939, 0.02516055479645729, -0.01095537468791008, -0.035838741809129715, -0.02121245115995407, -0.011267181485891342, 0.059710316359996796, 0.002964039333164692, -0.004624298308044672, 0.06676267832517624, -0.013552888296544552, -0.04733829200267792, 0.006725350860506296, 0.012930117547512054, -0.018278146162629128, -0.037658847868442535, 0.016654156148433685, 0.06428039819002151, 0.06107271835207939, -0.03800451382994652, -0.03809449076652527, 0.0399518646299839, -0.03278662636876106, 0.001818126067519188, 0.05147799849510193, -0.08067315816879272, 0.04963470995426178, -0.04323110356926918, 0.027862824499607086, 0.009475994855165482, -0.07601282000541687, -0.019182143732905388, 0.0003159724292345345, -0.03190026804804802, 0.08846794068813324, 0.003371536498889327, -0.06530619412660599, -0.02952008694410324, 0.05707995221018791, 0.056257449090480804, 0.010848752222955227, 0.07015268504619598, -0.1008468046784401, 0.05601103603839874, 0.07469017058610916, -0.0686754360795021, 0.03655116260051727, -0.10178545862436295, -0.032498959451913834, -0.014909515157341957, 0.01906285434961319, -0.0011727821547538042, 0.007809136528521776, 0.051009394228458405, -0.03162907809019089, -0.11370973289012909, -0.05021386966109276, 0.006675982382148504, 0.04833279550075531, -0.00520391296595335, -0.04815595597028732, 0.15021847188472748, 0.05278421565890312, 0.0421733595430851, 0.047270677983760834, -0.028276730328798294, 0.1441078782081604, 0.012299376539885998, 0.01297404058277607, 0.0059228017926216125, 0.007991451770067215, -0.052086349576711655, 0.0472862645983696, -0.015560362488031387, -0.0020670571830123663, -0.057209745049476624, -0.04433083161711693, -0.0742669627070427, 0.06660766154527664, -0.058695677667856216, 0.05233824625611305, -0.09100241959095001, -0.0732288509607315, -0.04834281653165817, 0.048104576766490936, 0.03759697079658508, 0.12736254930496216, 0.07437576353549957, -0.07049193978309631, 0.0013578400248661637, 2.4148924316461132e-33, 0.026848191395401955, 0.05419667065143585, 0.047963947057724, -0.002798168919980526, -0.07967526465654373, 0.03143492341041565, -0.06384056806564331, 0.08837703615427017, 0.011648708023130894, -0.016485312953591347, -0.11007219552993774, -0.030339695513248444, 0.014237015508115292, -0.01324656791985035, 0.019211461767554283, 0.013474280014634132, 0.047132886946201324, 0.005616499576717615, -0.03782958537340164, 0.024519378319382668, -0.09492014348506927, 0.011124888435006142, -0.030392084270715714, -0.11208495497703552, -0.0659521296620369, 0.08276336640119553, 0.01331224013119936, -0.002765106037259102, -0.025286711752414703, 0.013953737914562225, 0.045291751623153687, -0.027306757867336273, 0.0037585587706416845, 0.09860417246818542, -0.018587149679660797, -0.02734609693288803, -0.036476194858551025, 0.025445416569709778, -0.08617483079433441, -0.027178091928362846, 0.07481101155281067, 0.05633606016635895, -0.03272489830851555, 0.03377252817153931, 0.02764398790895939, 0.017334070056676865, 0.04702604562044144, -0.02513035573065281, 0.006509861908853054, 0.03426230326294899, 0.02270776964724064, 0.050210002809762955, -0.060916535556316376, -0.022802727296948433, 0.01301726046949625, 0.017335033044219017, 0.010501685552299023, -0.03470577672123909, -0.1054149940609932, 0.006910885684192181, 0.05242430791258812, -0.04723251610994339, 0.048627983778715134, 0.015593976713716984, -0.00339092337526381, 0.07611165940761566, -0.07097646594047546, -0.0027265248354524374, -0.045420870184898376, -0.02448607049882412, -0.061992473900318146, 0.07358366250991821, 0.05569959804415703, 0.026873772963881493, -0.04654019698500633, 0.04790002852678299, 0.02242739126086235, 0.06617012619972229, -0.0564887709915638, 0.05473925545811653, -0.09664532542228699, 0.00718705402687192, 0.014715081080794334, -0.051995862275362015, -0.04711172729730606, 0.039694495499134064, 0.013551358133554459, 0.02512260153889656, 0.05112801864743233, -0.02181120775640011, 0.02299678511917591, -0.003490968607366085, -0.04351004585623741, -0.07840614765882492, -0.07555272430181503, -4.798923728479326e-33, -0.00026023387908935547, -0.009759018197655678, -0.028616035357117653, -0.025751447305083275, -0.014724369160830975, 0.03449977934360504, -0.014662464149296284, 0.1429307907819748, -0.0534791424870491, -0.06240173429250717, -0.0024815627839416265, -0.008063789457082748, 0.03572447970509529, -0.11309609562158585, -0.0548071525990963, -0.0019467816455289721, -0.0639590248465538, 0.05541026219725609, -0.09015078097581863, 0.04044537991285324, 0.015935933217406273, 0.07293886691331863, 0.011454202234745026, -0.06744657456874847, -0.023848198354244232, -0.014212321490049362, 0.03267233073711395, -0.03377716988325119, -0.05557432025671005, 0.0761328712105751, 0.0015513526741415262, -0.03402337059378624, -0.02614939585328102, -0.010823823511600494, 0.006732169538736343, 0.060596153140068054, -0.0452379547059536, 0.0016305434983223677, -0.05790083855390549, 0.0208123829215765, -0.05292448773980141, 0.1112736165523529, -0.01671265996992588, -0.05939754098653793, 0.03637396916747093, 0.009872914291918278, -0.026563100516796112, 0.10487262159585953, 0.026507655158638954, 0.0016401653410866857, -0.11718808114528656, -0.02751396968960762, 0.023008260875940323, 0.04447373002767563, 0.06947536021471024, 0.06661493331193924, -0.03676151856780052, -0.0011938706738874316, 0.010477057658135891, -0.016723373904824257, 0.009593388997018337, -0.06447872519493103, 0.025942480191588402, -0.029835205525159836, 0.0033904893789440393, -0.08613855391740799, -0.011487923562526703, -0.024165265262126923, -0.02029433101415634, 0.05032465606927872, 0.01625317893922329, -0.15147162973880768, -0.10946590453386307, 0.06713175773620605, 0.03947583958506584, 0.01683143526315689, 0.07425089925527573, -0.038320887833833694, -0.005083590745925903, 0.07673600316047668, -0.018695076927542686, -0.002330309711396694, 0.06339237838983536, 0.06508377194404602, 0.03031451813876629, 0.035530637949705124, -0.0607345886528492, -0.08831073343753815, -0.017185188829898834, 0.05345820635557175, -0.040512580424547195, 0.03938593715429306, 0.006839171051979065, 0.057660575956106186, 0.017730478197336197, -5.27169135011718e-8, 0.03879192844033241, -0.02787637710571289, 0.047914158552885056, 0.06101684272289276, -0.026521051302552223, 0.035126134753227234, -0.02899756468832493, -0.025968261063098907, -0.03040764108300209, -0.05280125513672829, 0.002982987789437175, -0.07765484601259232, -0.024927284568548203, -0.07234058529138565, -0.1260857731103897, 0.027239108458161354, 0.04631189629435539, -0.020419983193278313, -0.026260560378432274, 0.09714393317699432, -0.04887046664953232, 0.021196924149990082, 0.05109243094921112, -0.023572616279125214, 0.05974547564983368, 0.02899433858692646, 0.005190682131797075, 0.07906756550073624, -0.03291263431310654, -0.01607748679816723, 0.030253464356064796, 0.03739834204316139, 0.04679996147751808, -0.11290682107210159, -0.0998268574476242, 0.02986273355782032, -0.01904580555856228, 0.12649741768836975, 0.03196066990494728, 0.058840662240982056, 0.04987938329577446, 0.023640943691134453, -0.0243601743131876, 0.04705960676074028, 0.08920525014400482, 0.11409693211317062, 0.01711161434650421, -0.05950146168470383, -0.07122910767793655, 0.03095966763794422, 0.0028657149523496628, 0.04318743199110031, -0.029313797131180763, -0.05444232374429703, -0.037943772971630096, -0.01464134268462658, -0.050552815198898315, 0.013476754538714886, 0.01522801909595728, 0.04628943279385567, 0.009336384944617748, 0.05639312416315079, -0.06661797314882278, -0.038549136370420456 ]
1402.0501
Alexander K. Hartmann
Alexander K. Hartmann
Large-deviation properties of resilience of transportation networks
10 pages, 10 figures
null
10.1140/epjb/e2014-50078-4
null
physics.soc-ph cs.SI physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Distributions of the resilience of transport networks are studied numerically, in particular the large-deviation tails. Thus, not only typical quantities like average or variance but the distributions over the (almost) full support can be studied. For a proof of principle, a simple transport model based on the edge-betweenness and three abstract yet widely studied random network ensembles are considered here: Erdoes-Renyi random networks with finite connectivity, small world networks and spatial networks embedded in a two-dimensional plane. Using specific numerical large-deviation techniques, probability densities as small as 10^(-80) are obtained here. This allows one to study typical but also the most and the least resilient networks. The resulting distributions fulfill the mathematical large-deviation principle, i.e., can be well described by rate functions in the thermodynamic limit. The analysis of the limiting rate function reveals that the resilience follows an exponential distribution almost everywhere. An analysis of the structure of the network shows that the most-resilient networks can be obtained, as a rule of thumb, by minimizing the diameter of a network. Also, trivially, by including more links a network can typically be made more resilient. On the other hand, the least-resilient networks are very rare and characterized by one (or few) small core(s) to which all other nodes are connected. In total, the spatial network ensemble turns out to be most suitable for obtaining and studying resilience of real mostly finite-dimensional networks. Studying this ensemble in combination with the presented large-deviation approach for more realistic, in particular dynamic transport networks appears to be very promising.
[ { "created": "Mon, 3 Feb 2014 20:55:18 GMT", "version": "v1" } ]
2015-06-18
[ [ "Hartmann", "Alexander K.", "" ] ]
[ 0.0358966588973999, -0.07535000145435333, 0.06212136894464493, 0.054168328642845154, 0.05488812178373337, -0.01700630784034729, 0.009347950108349323, 0.09003013372421265, 0.07488507777452469, -0.01524573564529419, -0.036263931542634964, 0.060944803059101105, 0.07907604426145554, 0.008055615238845348, -0.05567124858498573, -0.063309445977211, 0.03417649120092392, 0.007666086778044701, -0.11263465136289597, 0.04904467612504959, 0.011257894337177277, -0.00802441406995058, -0.09089615941047668, -0.04888182133436203, 0.04990876466035843, -0.08907122164964676, 0.012854760512709618, 0.003663144074380398, -0.01434564683586359, -0.03998853638768196, 0.015515048988163471, -0.06856872886419296, -0.050456758588552475, -0.005210497882217169, -0.04551021009683609, 0.03525172546505928, -0.04171835258603096, 0.004421662539243698, 0.07666915655136108, 0.04718174412846565, 0.03464724123477936, 0.04199009761214256, 0.028381045907735825, 0.015117865987122059, -0.03467731177806854, -0.05510154739022255, 0.0055777267552912235, -0.035934243351221085, -0.009541042149066925, -0.03395722806453705, 0.016015609726309776, 0.03593987226486206, -0.029973283410072327, 0.027748195454478264, 0.05515827238559723, -0.04818962514400482, 0.011221308261156082, -0.013563308864831924, -0.08146627247333527, 0.059163108468055725, 0.11762270331382751, -0.051419053226709366, 0.024548720568418503, -0.03536029905080795, 0.058766353875398636, 0.023700131103396416, 0.06808844953775406, 0.0770648717880249, 0.02241862192749977, 0.05057288333773613, -0.032865338027477264, -0.001010983600281179, -0.1774364560842514, 0.03909802809357643, 0.11099264025688171, 0.0166849996894598, -0.015436127781867981, 0.0674271285533905, -0.06853657960891724, 0.01026653777807951, 0.03056807443499565, 0.02897626720368862, 0.02649773471057415, -0.06874941289424896, 0.015339922159910202, 0.009448993019759655, 0.0008602857706137002, 0.030279966071248055, 0.05600672587752342, -0.04093166068196297, -0.08534535020589828, 0.11606936156749725, 0.03873274847865105, 0.05396393686532974, 0.06039892137050629, 0.03194434568285942, -0.0028403429314494133, -0.06850329786539078, 0.054846543818712234, 0.033646635711193085, -0.008933713659644127, -0.07685656100511551, 0.09822320193052292, -0.040652818977832794, 0.030088476836681366, -0.0380079410970211, 0.050165627151727676, -0.05338257551193237, 0.007365405559539795, -0.012495599687099457, -0.0057809436693787575, 0.01827361062169075, -0.003201401326805353, 0.04247770458459854, -0.07353615760803223, -0.05336325988173485, -0.07955601811408997, 0.05772767961025238, -0.021674074232578278, 0.047373149544000626, -0.02284054458141327, 0.041357241570949554, -0.033813558518886566, -0.05026060715317726, 0.037822578102350235, 0.08508770167827606, 0.0026146178133785725, 3.9047053393416415e-33, -0.014099109917879105, -0.033217739313840866, -0.05588073283433914, -0.00009945372585207224, 0.14200568199157715, -0.02372506819665432, -0.03013581596314907, -0.03738661855459213, 0.03959928825497627, -0.03410068526864052, -0.04194870591163635, 0.04433248192071915, 0.010370357893407345, -0.003630467224866152, 0.036921460181474686, -0.00509601878002286, 0.046944938600063324, -0.015594850294291973, 0.06266601383686066, -0.10652492940425873, 0.011092021130025387, -0.10681705176830292, 0.07057888805866241, -0.05079958215355873, 0.02295435406267643, -0.05607954412698746, -0.03882959485054016, -0.004796107765287161, 0.020655633881688118, 0.008033647201955318, -0.03142737224698067, 0.06634622812271118, -0.06454828381538391, -0.03882861137390137, -0.003327770158648491, 0.001708699855953455, 0.010371878743171692, 0.019751688465476036, -0.04016200080513954, -0.05120128393173218, -0.059845954179763794, 0.05417070537805557, -0.005766854155808687, 0.048533204942941666, 0.008744166232645512, 0.010807150974869728, 0.038281653076410294, -0.02244586870074272, 0.010382178239524364, -0.0789514109492302, -0.07789207249879837, -0.09186677634716034, 0.013856508769094944, -0.027963170781731606, 0.016298281028866768, 0.03749024122953415, 0.019920935854315758, 0.05940375477075577, 0.013590681366622448, 0.08583644032478333, -0.037983737885951996, 0.03161780163645744, 0.05481627956032753, 0.023138105869293213, 0.20148098468780518, 0.052479784935712814, -0.04209977760910988, 0.0029918458312749863, 0.07367990165948868, -0.028062861412763596, 0.08678688108921051, 0.0361439511179924, -0.02804073505103588, -0.09981410205364227, 0.0029417553450912237, -0.0523521825671196, -0.017854763194918633, -0.019716573879122734, -0.03233835846185684, 0.04863930866122246, -0.1290540248155594, -0.06354693323373795, -0.06727231293916702, 0.003604830941185355, -0.02252468839287758, 0.011755123734474182, 0.007748844102025032, -0.00030040490673854947, -0.04508684203028679, -0.016364529728889465, 0.013736131601035595, -0.04396761581301689, 0.0712023675441742, -0.05056842416524887, -0.035741109400987625, -3.564938982812029e-33, -0.09300834685564041, 0.06464581936597824, 0.04865778982639313, 0.05229731276631355, -0.0222617294639349, 0.0027132583782076836, -0.05604671314358711, 0.07340475916862488, -0.10187418758869171, 0.003248345572501421, -0.07792402803897858, 0.01354033499956131, 0.054966606199741364, -0.06873989850282669, 0.05348620563745499, -0.08371857553720474, 0.07541116327047348, -0.022444093599915504, 0.018862778320908546, -0.10664813965559006, 0.015349647961556911, -0.03687034919857979, -0.04012604430317879, -0.004091223701834679, 0.02053983509540558, -0.005371897015720606, -0.052634671330451965, -0.0173629242926836, -0.05494614318013191, 0.006318905856460333, -0.06213846057653427, 0.03880665823817253, -0.06435196101665497, 0.03386322036385536, -0.008918901905417442, 0.04219871759414673, 0.01663634181022644, 0.034481171518564224, -0.014149445109069347, -0.01877620443701744, 0.012759236618876457, -0.029414696618914604, -0.008927697315812111, -0.045072298496961594, 0.07737085223197937, 0.008638842031359673, -0.005366066470742226, -0.03373408690094948, 0.04052545875310898, 0.00045636683353222907, 0.08610960841178894, 0.020608117803931236, -0.058058664202690125, 0.06819270551204681, 0.013352921232581139, 0.08220858126878738, 0.028337063267827034, 0.05506908893585205, 0.0551794171333313, -0.012050381861627102, -0.06541074067354202, -0.09606271237134933, -0.005026235245168209, 0.0794389471411705, -0.09617142379283905, -0.027188148349523544, -0.08558233082294464, -0.04129882529377937, 0.03579137101769447, 0.01358712837100029, 0.06307297199964523, 0.04746550694108009, 0.042040448635816574, -0.006055757869035006, -0.06917323172092438, -0.038844794034957886, 0.03559813275933266, 0.061381746083498, -0.028790488839149475, 0.03483184799551964, -0.030919799581170082, 0.1122158095240593, -0.02458898350596428, -0.05298050865530968, 0.1447468101978302, -0.02368183806538582, 0.04245217889547348, -0.05419352650642395, 0.1028936430811882, 0.007460752502083778, 0.00911908969283104, 0.03008952923119068, -0.004538561683148146, -0.007710651494562626, -0.05854228883981705, -4.921962570847427e-8, 0.010309186764061451, 0.02963734231889248, -0.022256070747971535, -0.0357663556933403, 0.0748332068324089, 0.08247821033000946, 0.020358065143227577, 0.05394435673952103, -0.057203780859708786, 0.07752230763435364, 0.03143700957298279, -0.012902934104204178, -0.06097528710961342, 0.04714846983551979, -0.03684309870004654, 0.012044880539178848, -0.028524933382868767, 0.024253200739622116, 0.030386269092559814, -0.05613746494054794, -0.011350293643772602, -0.029705941677093506, 0.03392932191491127, 0.07334740459918976, 0.05316946655511856, 0.001208767993375659, -0.00784008763730526, -0.09446413069963455, -0.01818050444126129, 0.021925386041402817, -0.04478086158633232, -0.06432618945837021, 0.02188161574304104, 0.065985769033432, -0.0471702478826046, 0.07947110384702682, -0.03625413030385971, 0.028698755428195, -0.013999346643686295, 0.026550045236945152, 0.023753391578793526, -0.04292864352464676, 0.07734748721122742, 0.026018524542450905, 0.05326365306973457, 0.01438156794756651, -0.00311360158957541, 0.0483194962143898, 0.02765662595629692, -0.06335047632455826, -0.017842186614871025, -0.04421782121062279, -0.008192197419703007, -0.01933235675096512, 0.0021592953708022833, -0.007123859133571386, -0.03204784542322159, -0.03004802018404007, -0.0012029907666146755, 0.027713589370250702, 0.004443496931344271, 0.07038262486457825, -0.09676114469766617, -0.041485823690891266 ]
null
null
null
null
null
null
null
[ 0.0358966588973999, -0.07535000145435333, 0.06212136894464493, 0.054168328642845154, 0.05488812178373337, -0.01700630784034729, 0.009347950108349323, 0.09003013372421265, 0.07488507777452469, -0.01524573564529419, -0.036263931542634964, 0.060944803059101105, 0.07907604426145554, 0.008055615238845348, -0.05567124858498573, -0.063309445977211, 0.03417649120092392, 0.007666086778044701, -0.11263465136289597, 0.04904467612504959, 0.011257894337177277, -0.00802441406995058, -0.09089615941047668, -0.04888182133436203, 0.04990876466035843, -0.08907122164964676, 0.012854760512709618, 0.003663144074380398, -0.01434564683586359, -0.03998853638768196, 0.015515048988163471, -0.06856872886419296, -0.050456758588552475, -0.005210497882217169, -0.04551021009683609, 0.03525172546505928, -0.04171835258603096, 0.004421662539243698, 0.07666915655136108, 0.04718174412846565, 0.03464724123477936, 0.04199009761214256, 0.028381045907735825, 0.015117865987122059, -0.03467731177806854, -0.05510154739022255, 0.0055777267552912235, -0.035934243351221085, -0.009541042149066925, -0.03395722806453705, 0.016015609726309776, 0.03593987226486206, -0.029973283410072327, 0.027748195454478264, 0.05515827238559723, -0.04818962514400482, 0.011221308261156082, -0.013563308864831924, -0.08146627247333527, 0.059163108468055725, 0.11762270331382751, -0.051419053226709366, 0.024548720568418503, -0.03536029905080795, 0.058766353875398636, 0.023700131103396416, 0.06808844953775406, 0.0770648717880249, 0.02241862192749977, 0.05057288333773613, -0.032865338027477264, -0.001010983600281179, -0.1774364560842514, 0.03909802809357643, 0.11099264025688171, 0.0166849996894598, -0.015436127781867981, 0.0674271285533905, -0.06853657960891724, 0.01026653777807951, 0.03056807443499565, 0.02897626720368862, 0.02649773471057415, -0.06874941289424896, 0.015339922159910202, 0.009448993019759655, 0.0008602857706137002, 0.030279966071248055, 0.05600672587752342, -0.04093166068196297, -0.08534535020589828, 0.11606936156749725, 0.03873274847865105, 0.05396393686532974, 0.06039892137050629, 0.03194434568285942, -0.0028403429314494133, -0.06850329786539078, 0.054846543818712234, 0.033646635711193085, -0.008933713659644127, -0.07685656100511551, 0.09822320193052292, -0.040652818977832794, 0.030088476836681366, -0.0380079410970211, 0.050165627151727676, -0.05338257551193237, 0.007365405559539795, -0.012495599687099457, -0.0057809436693787575, 0.01827361062169075, -0.003201401326805353, 0.04247770458459854, -0.07353615760803223, -0.05336325988173485, -0.07955601811408997, 0.05772767961025238, -0.021674074232578278, 0.047373149544000626, -0.02284054458141327, 0.041357241570949554, -0.033813558518886566, -0.05026060715317726, 0.037822578102350235, 0.08508770167827606, 0.0026146178133785725, 3.9047053393416415e-33, -0.014099109917879105, -0.033217739313840866, -0.05588073283433914, -0.00009945372585207224, 0.14200568199157715, -0.02372506819665432, -0.03013581596314907, -0.03738661855459213, 0.03959928825497627, -0.03410068526864052, -0.04194870591163635, 0.04433248192071915, 0.010370357893407345, -0.003630467224866152, 0.036921460181474686, -0.00509601878002286, 0.046944938600063324, -0.015594850294291973, 0.06266601383686066, -0.10652492940425873, 0.011092021130025387, -0.10681705176830292, 0.07057888805866241, -0.05079958215355873, 0.02295435406267643, -0.05607954412698746, -0.03882959485054016, -0.004796107765287161, 0.020655633881688118, 0.008033647201955318, -0.03142737224698067, 0.06634622812271118, -0.06454828381538391, -0.03882861137390137, -0.003327770158648491, 0.001708699855953455, 0.010371878743171692, 0.019751688465476036, -0.04016200080513954, -0.05120128393173218, -0.059845954179763794, 0.05417070537805557, -0.005766854155808687, 0.048533204942941666, 0.008744166232645512, 0.010807150974869728, 0.038281653076410294, -0.02244586870074272, 0.010382178239524364, -0.0789514109492302, -0.07789207249879837, -0.09186677634716034, 0.013856508769094944, -0.027963170781731606, 0.016298281028866768, 0.03749024122953415, 0.019920935854315758, 0.05940375477075577, 0.013590681366622448, 0.08583644032478333, -0.037983737885951996, 0.03161780163645744, 0.05481627956032753, 0.023138105869293213, 0.20148098468780518, 0.052479784935712814, -0.04209977760910988, 0.0029918458312749863, 0.07367990165948868, -0.028062861412763596, 0.08678688108921051, 0.0361439511179924, -0.02804073505103588, -0.09981410205364227, 0.0029417553450912237, -0.0523521825671196, -0.017854763194918633, -0.019716573879122734, -0.03233835846185684, 0.04863930866122246, -0.1290540248155594, -0.06354693323373795, -0.06727231293916702, 0.003604830941185355, -0.02252468839287758, 0.011755123734474182, 0.007748844102025032, -0.00030040490673854947, -0.04508684203028679, -0.016364529728889465, 0.013736131601035595, -0.04396761581301689, 0.0712023675441742, -0.05056842416524887, -0.035741109400987625, -3.564938982812029e-33, -0.09300834685564041, 0.06464581936597824, 0.04865778982639313, 0.05229731276631355, -0.0222617294639349, 0.0027132583782076836, -0.05604671314358711, 0.07340475916862488, -0.10187418758869171, 0.003248345572501421, -0.07792402803897858, 0.01354033499956131, 0.054966606199741364, -0.06873989850282669, 0.05348620563745499, -0.08371857553720474, 0.07541116327047348, -0.022444093599915504, 0.018862778320908546, -0.10664813965559006, 0.015349647961556911, -0.03687034919857979, -0.04012604430317879, -0.004091223701834679, 0.02053983509540558, -0.005371897015720606, -0.052634671330451965, -0.0173629242926836, -0.05494614318013191, 0.006318905856460333, -0.06213846057653427, 0.03880665823817253, -0.06435196101665497, 0.03386322036385536, -0.008918901905417442, 0.04219871759414673, 0.01663634181022644, 0.034481171518564224, -0.014149445109069347, -0.01877620443701744, 0.012759236618876457, -0.029414696618914604, -0.008927697315812111, -0.045072298496961594, 0.07737085223197937, 0.008638842031359673, -0.005366066470742226, -0.03373408690094948, 0.04052545875310898, 0.00045636683353222907, 0.08610960841178894, 0.020608117803931236, -0.058058664202690125, 0.06819270551204681, 0.013352921232581139, 0.08220858126878738, 0.028337063267827034, 0.05506908893585205, 0.0551794171333313, -0.012050381861627102, -0.06541074067354202, -0.09606271237134933, -0.005026235245168209, 0.0794389471411705, -0.09617142379283905, -0.027188148349523544, -0.08558233082294464, -0.04129882529377937, 0.03579137101769447, 0.01358712837100029, 0.06307297199964523, 0.04746550694108009, 0.042040448635816574, -0.006055757869035006, -0.06917323172092438, -0.038844794034957886, 0.03559813275933266, 0.061381746083498, -0.028790488839149475, 0.03483184799551964, -0.030919799581170082, 0.1122158095240593, -0.02458898350596428, -0.05298050865530968, 0.1447468101978302, -0.02368183806538582, 0.04245217889547348, -0.05419352650642395, 0.1028936430811882, 0.007460752502083778, 0.00911908969283104, 0.03008952923119068, -0.004538561683148146, -0.007710651494562626, -0.05854228883981705, -4.921962570847427e-8, 0.010309186764061451, 0.02963734231889248, -0.022256070747971535, -0.0357663556933403, 0.0748332068324089, 0.08247821033000946, 0.020358065143227577, 0.05394435673952103, -0.057203780859708786, 0.07752230763435364, 0.03143700957298279, -0.012902934104204178, -0.06097528710961342, 0.04714846983551979, -0.03684309870004654, 0.012044880539178848, -0.028524933382868767, 0.024253200739622116, 0.030386269092559814, -0.05613746494054794, -0.011350293643772602, -0.029705941677093506, 0.03392932191491127, 0.07334740459918976, 0.05316946655511856, 0.001208767993375659, -0.00784008763730526, -0.09446413069963455, -0.01818050444126129, 0.021925386041402817, -0.04478086158633232, -0.06432618945837021, 0.02188161574304104, 0.065985769033432, -0.0471702478826046, 0.07947110384702682, -0.03625413030385971, 0.028698755428195, -0.013999346643686295, 0.026550045236945152, 0.023753391578793526, -0.04292864352464676, 0.07734748721122742, 0.026018524542450905, 0.05326365306973457, 0.01438156794756651, -0.00311360158957541, 0.0483194962143898, 0.02765662595629692, -0.06335047632455826, -0.017842186614871025, -0.04421782121062279, -0.008192197419703007, -0.01933235675096512, 0.0021592953708022833, -0.007123859133571386, -0.03204784542322159, -0.03004802018404007, -0.0012029907666146755, 0.027713589370250702, 0.004443496931344271, 0.07038262486457825, -0.09676114469766617, -0.041485823690891266 ]
1402.0517
James M. Overduin
Paul S. Wesson and James M. Overduin
Scaling Relations for the Cosmological "Constant" in Five-Dimensional Relativity
null
Adv. High Energy Phys. 2013 (2013) 214172
10.1155/2013/214172
null
physics.gen-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
When the cosmological "constant" is derived from modern five-dimensional relativity, exact solutions imply that for small systems it scales in proportion to the square of the mass. However, a duality transformation implies that for large systems it scales as the inverse square of the mass.
[ { "created": "Wed, 22 Jan 2014 20:38:33 GMT", "version": "v1" } ]
2014-02-05
[ [ "Wesson", "Paul S.", "" ], [ "Overduin", "James M.", "" ] ]
[ -0.017583029344677925, -0.02601478062570095, 0.06498347967863083, 0.08309689164161682, -0.002339110244065523, -0.008500602096319199, -0.10534566640853882, 0.009172504767775536, 0.012897510081529617, -0.05354824289679527, 0.044439882040023804, -0.026466885581612587, -0.12439867109060287, 0.02359345741569996, -0.03359003737568855, -0.06894814968109131, 0.010693022049963474, 0.07688186317682266, -0.08136016875505447, -0.016578473150730133, -0.027068303897976875, -0.004751150496304035, -0.10137432813644409, 0.061390724033117294, -0.003369304584339261, -0.06822609901428223, -0.024586422368884087, 0.009510185569524765, -0.011233062483370304, -0.030857732519507408, 0.052253272384405136, 0.02223464660346508, 0.013681980781257153, 0.002497737994417548, -0.0466485321521759, 0.03501665219664574, 0.04573042690753937, -0.1016911119222641, 0.06102805584669113, -0.016291918233036995, 0.028449933975934982, 0.02257082425057888, 0.03499608859419823, 0.06860633194446564, 0.08670032024383545, -0.03810165822505951, -0.04219120740890503, 0.0008360520005226135, -0.0003964776115026325, -0.060830116271972656, 0.055128313601017, -0.002663159742951393, -0.03443385288119316, 0.016056900843977928, 0.08824992179870605, -0.03055834025144577, 0.039562568068504333, 0.004799459595233202, 0.03967856243252754, -0.029641535133123398, -0.004596166778355837, 0.04030665010213852, -0.03780585899949074, 0.002384328283369541, 0.006957248318940401, 0.04158933833241463, -0.04219093546271324, -0.07321349531412125, -0.010208955965936184, 0.10270292311906815, -0.07976984977722168, 0.026198673993349075, 0.029457982629537582, -0.006795318331569433, 0.06732650846242905, -0.1049502044916153, -0.02203192561864853, -0.015420123003423214, 0.07242719829082489, 0.10167025774717331, -0.01281763520091772, 0.02451466955244541, -0.09787934273481369, -0.06170987710356712, 0.004545507021248341, -0.07990022748708725, -0.046579230576753616, 0.001980046508833766, 0.04079776629805565, -0.05684322863817215, 0.03531000390648842, -0.03557295352220535, -0.021207178011536598, -0.06555553525686264, -0.01976199820637703, -0.03413922339677811, -0.027102595195174217, 0.025075562298297882, 0.06164751946926117, -0.022399993613362312, 0.08194192498922348, -0.04614194110035896, 0.05089134722948074, 0.13482747972011566, 0.12200764566659927, -0.011643094941973686, 0.03414120152592659, 0.005399385467171669, 0.07638563960790634, 0.013594036921858788, 0.08201436698436737, -0.03217763453722, -0.030814943835139275, 0.019840724766254425, 0.018294693902134895, -0.1131259948015213, 0.08062639087438583, 0.035686422139406204, -0.04165215417742729, -0.006361427716910839, -0.013541873544454575, -0.0044031222350895405, 0.028351502493023872, -0.08317788690328598, -0.0531395860016346, 0.1232256218791008, -0.0037103802897036076, -7.5453278830828904e-34, -0.02439838834106922, 0.021047379821538925, 0.08921832591295242, 0.06542900949716568, 0.02662499248981476, -0.0319594144821167, -0.03414033353328705, 0.013000821694731712, 0.060647811740636826, 0.007700204849243164, -0.024630123749375343, 0.08033151179552078, -0.029126062989234924, 0.056691236793994904, -0.061206135898828506, 0.012293100357055664, 0.06321527808904648, 0.11839669942855835, 0.08364120870828629, -0.08674225956201553, -0.058444228023290634, 0.05783860757946968, -0.04925268143415451, -0.0740744024515152, 0.033757369965314865, -0.04920341446995735, -0.018301459029316902, -0.03144678473472595, -0.028550948947668076, -0.0318162739276886, -0.059176526963710785, 0.027985773980617523, 0.010555139742791653, 0.008616028353571892, 0.004796622321009636, -0.004745453596115112, 0.044217549264431, 0.014705474488437176, -0.03641928359866142, -0.08903241157531738, 0.019008267670869827, 0.002167368307709694, -0.041048627346754074, -0.13205155730247498, 0.030719740316271782, 0.030064575374126434, 0.05659928917884827, -0.049406420439481735, -0.012489084154367447, -0.05382271483540535, 0.04417385905981064, -0.0000858228886500001, -0.08710312098264694, 0.017613062635064125, 0.07272657006978989, -0.049048397690057755, -0.012416582554578781, -0.0034041807521134615, 0.05052277445793152, 0.023640356957912445, 0.0020425233524292707, -0.053381308913230896, 0.057361770421266556, 0.06277372688055038, 0.0380241796374321, 0.018464187160134315, 0.04544837772846222, -0.08105625957250595, 0.012506571598351002, 0.07143431156873703, -0.04509606584906578, 0.019520806148648262, 0.03651991859078407, 0.041195932775735855, 0.004115830175578594, -0.04081445187330246, 0.06115003675222397, -0.06140933185815811, -0.043109916150569916, 0.06031929329037666, -0.11113067716360092, 0.022164102643728256, 0.03571493178606033, -0.06346303224563599, -0.0671917051076889, -0.011558289639651775, -0.03436676040291786, 0.002632044954225421, 0.010179908014833927, -0.07345736026763916, 0.07996972650289536, 0.0015232984442263842, -0.00014343930524773896, -0.03713381290435791, -0.05463646352291107, -6.985168549895088e-34, -0.015092900954186916, -0.07761655002832413, -0.0612901896238327, -0.003567945212125778, 0.021439047530293465, 0.018882548436522484, -0.07233671098947525, -0.0256737619638443, -0.04557861387729645, -0.06351343542337418, 0.07986162602901459, -0.01293670292943716, -0.02906581200659275, -0.024561559781432152, 0.06371820718050003, 0.03804822266101837, -0.025317605584859848, 0.06849993020296097, -0.05744841322302818, 0.0012677231570705771, 0.07178012281656265, -0.034799616783857346, -0.018574899062514305, 0.010515594854950905, 0.04830426722764969, -0.029139773920178413, -0.035849474370479584, -0.039086345583200455, 0.005346532911062241, 0.060298141092061996, 0.005484260153025389, -0.06819711625576019, 0.0010387967340648174, 0.04380553215742111, -0.02686447463929653, -0.0046664136461913586, -0.02311849035322666, 0.05835970491170883, -0.05898960307240486, 0.09257513284683228, -0.06328260153532028, 0.09931566566228867, 0.004433535039424896, 0.030970310792326927, 0.01340845599770546, -0.023875592276453972, 0.09602966904640198, -0.008141130208969116, 0.07766743004322052, -0.0035967635922133923, 0.025345968082547188, -0.05429571866989136, -0.022419672459363937, -0.010531769134104252, -0.07732722163200378, 0.0686970055103302, -0.03805601969361305, 0.0044667962938547134, -0.008021852001547813, -0.03247784078121185, -0.035960786044597626, -0.08015809953212738, 0.05457167327404022, 0.01044046226888895, -0.016907624900341034, 0.08920617401599884, 0.01403033547103405, -0.0014844004763290286, -0.0472734235227108, -0.04660145938396454, 0.04124060273170471, -0.07780415564775467, 0.00501174945384264, 0.021891409531235695, -0.08668875694274902, -0.007180322892963886, 0.12473249435424805, 0.003931607119739056, 0.0429353266954422, 0.03636538237333298, 0.02993612363934517, -0.025133877992630005, 0.13120947778224945, 0.01454046182334423, -0.09822462499141693, -0.0949614942073822, -0.002428138628602028, 0.0654723197221756, 0.01962844654917717, 0.08943158388137817, -0.11275225132703781, -0.011869975365698338, -0.021864527836441994, -0.042757775634527206, 0.004995719529688358, -3.4223234024466365e-8, -0.02966705895960331, 0.06293733417987823, -0.025249242782592773, 0.0350177027285099, -0.07102105766534805, 0.0780961886048317, -0.04982689023017883, -0.006120503880083561, 0.0005177697748877108, 0.08436699956655502, -0.016535727307200432, -0.04324476048350334, 0.021420573815703392, 0.026934005320072174, 0.0042653209529817104, 0.048255592584609985, -0.02064223773777485, -0.024093808606266975, -0.015392838045954704, 0.051277123391628265, -0.02323739603161812, 0.08665268868207932, -0.040858976542949677, -0.05042681470513344, 0.010939664207398891, -0.005226644221693277, -0.06094040349125862, 0.14850018918514252, -0.030501792207360268, 0.040629442781209946, -0.0027176763396710157, -0.010217264294624329, -0.05486665666103363, 0.04789366573095322, -0.01582234911620617, -0.06607396900653839, 0.018298013135790825, 0.03178410232067108, 0.011320087127387524, 0.021916216239333153, 0.01003680657595396, 0.01274621021002531, -0.04290889576077461, 0.04311080276966095, 0.017857903614640236, 0.12738732993602753, -0.040246106684207916, 0.007539739832282066, -0.05879437178373337, 0.07201805710792542, 0.026675784960389137, 0.07191125303506851, 0.0003966678923461586, 0.004785867873579264, 0.026488004252314568, -0.03159450367093086, -0.04366520792245865, 0.06701450794935226, -0.04419261962175369, -0.005360548384487629, 0.004292062483727932, 0.03769959881901741, 0.03713516145944595, 0.01453020703047514 ]
null
null
null
null
null
null
null
[ -0.017583029344677925, -0.02601478062570095, 0.06498347967863083, 0.08309689164161682, -0.002339110244065523, -0.008500602096319199, -0.10534566640853882, 0.009172504767775536, 0.012897510081529617, -0.05354824289679527, 0.044439882040023804, -0.026466885581612587, -0.12439867109060287, 0.02359345741569996, -0.03359003737568855, -0.06894814968109131, 0.010693022049963474, 0.07688186317682266, -0.08136016875505447, -0.016578473150730133, -0.027068303897976875, -0.004751150496304035, -0.10137432813644409, 0.061390724033117294, -0.003369304584339261, -0.06822609901428223, -0.024586422368884087, 0.009510185569524765, -0.011233062483370304, -0.030857732519507408, 0.052253272384405136, 0.02223464660346508, 0.013681980781257153, 0.002497737994417548, -0.0466485321521759, 0.03501665219664574, 0.04573042690753937, -0.1016911119222641, 0.06102805584669113, -0.016291918233036995, 0.028449933975934982, 0.02257082425057888, 0.03499608859419823, 0.06860633194446564, 0.08670032024383545, -0.03810165822505951, -0.04219120740890503, 0.0008360520005226135, -0.0003964776115026325, -0.060830116271972656, 0.055128313601017, -0.002663159742951393, -0.03443385288119316, 0.016056900843977928, 0.08824992179870605, -0.03055834025144577, 0.039562568068504333, 0.004799459595233202, 0.03967856243252754, -0.029641535133123398, -0.004596166778355837, 0.04030665010213852, -0.03780585899949074, 0.002384328283369541, 0.006957248318940401, 0.04158933833241463, -0.04219093546271324, -0.07321349531412125, -0.010208955965936184, 0.10270292311906815, -0.07976984977722168, 0.026198673993349075, 0.029457982629537582, -0.006795318331569433, 0.06732650846242905, -0.1049502044916153, -0.02203192561864853, -0.015420123003423214, 0.07242719829082489, 0.10167025774717331, -0.01281763520091772, 0.02451466955244541, -0.09787934273481369, -0.06170987710356712, 0.004545507021248341, -0.07990022748708725, -0.046579230576753616, 0.001980046508833766, 0.04079776629805565, -0.05684322863817215, 0.03531000390648842, -0.03557295352220535, -0.021207178011536598, -0.06555553525686264, -0.01976199820637703, -0.03413922339677811, -0.027102595195174217, 0.025075562298297882, 0.06164751946926117, -0.022399993613362312, 0.08194192498922348, -0.04614194110035896, 0.05089134722948074, 0.13482747972011566, 0.12200764566659927, -0.011643094941973686, 0.03414120152592659, 0.005399385467171669, 0.07638563960790634, 0.013594036921858788, 0.08201436698436737, -0.03217763453722, -0.030814943835139275, 0.019840724766254425, 0.018294693902134895, -0.1131259948015213, 0.08062639087438583, 0.035686422139406204, -0.04165215417742729, -0.006361427716910839, -0.013541873544454575, -0.0044031222350895405, 0.028351502493023872, -0.08317788690328598, -0.0531395860016346, 0.1232256218791008, -0.0037103802897036076, -7.5453278830828904e-34, -0.02439838834106922, 0.021047379821538925, 0.08921832591295242, 0.06542900949716568, 0.02662499248981476, -0.0319594144821167, -0.03414033353328705, 0.013000821694731712, 0.060647811740636826, 0.007700204849243164, -0.024630123749375343, 0.08033151179552078, -0.029126062989234924, 0.056691236793994904, -0.061206135898828506, 0.012293100357055664, 0.06321527808904648, 0.11839669942855835, 0.08364120870828629, -0.08674225956201553, -0.058444228023290634, 0.05783860757946968, -0.04925268143415451, -0.0740744024515152, 0.033757369965314865, -0.04920341446995735, -0.018301459029316902, -0.03144678473472595, -0.028550948947668076, -0.0318162739276886, -0.059176526963710785, 0.027985773980617523, 0.010555139742791653, 0.008616028353571892, 0.004796622321009636, -0.004745453596115112, 0.044217549264431, 0.014705474488437176, -0.03641928359866142, -0.08903241157531738, 0.019008267670869827, 0.002167368307709694, -0.041048627346754074, -0.13205155730247498, 0.030719740316271782, 0.030064575374126434, 0.05659928917884827, -0.049406420439481735, -0.012489084154367447, -0.05382271483540535, 0.04417385905981064, -0.0000858228886500001, -0.08710312098264694, 0.017613062635064125, 0.07272657006978989, -0.049048397690057755, -0.012416582554578781, -0.0034041807521134615, 0.05052277445793152, 0.023640356957912445, 0.0020425233524292707, -0.053381308913230896, 0.057361770421266556, 0.06277372688055038, 0.0380241796374321, 0.018464187160134315, 0.04544837772846222, -0.08105625957250595, 0.012506571598351002, 0.07143431156873703, -0.04509606584906578, 0.019520806148648262, 0.03651991859078407, 0.041195932775735855, 0.004115830175578594, -0.04081445187330246, 0.06115003675222397, -0.06140933185815811, -0.043109916150569916, 0.06031929329037666, -0.11113067716360092, 0.022164102643728256, 0.03571493178606033, -0.06346303224563599, -0.0671917051076889, -0.011558289639651775, -0.03436676040291786, 0.002632044954225421, 0.010179908014833927, -0.07345736026763916, 0.07996972650289536, 0.0015232984442263842, -0.00014343930524773896, -0.03713381290435791, -0.05463646352291107, -6.985168549895088e-34, -0.015092900954186916, -0.07761655002832413, -0.0612901896238327, -0.003567945212125778, 0.021439047530293465, 0.018882548436522484, -0.07233671098947525, -0.0256737619638443, -0.04557861387729645, -0.06351343542337418, 0.07986162602901459, -0.01293670292943716, -0.02906581200659275, -0.024561559781432152, 0.06371820718050003, 0.03804822266101837, -0.025317605584859848, 0.06849993020296097, -0.05744841322302818, 0.0012677231570705771, 0.07178012281656265, -0.034799616783857346, -0.018574899062514305, 0.010515594854950905, 0.04830426722764969, -0.029139773920178413, -0.035849474370479584, -0.039086345583200455, 0.005346532911062241, 0.060298141092061996, 0.005484260153025389, -0.06819711625576019, 0.0010387967340648174, 0.04380553215742111, -0.02686447463929653, -0.0046664136461913586, -0.02311849035322666, 0.05835970491170883, -0.05898960307240486, 0.09257513284683228, -0.06328260153532028, 0.09931566566228867, 0.004433535039424896, 0.030970310792326927, 0.01340845599770546, -0.023875592276453972, 0.09602966904640198, -0.008141130208969116, 0.07766743004322052, -0.0035967635922133923, 0.025345968082547188, -0.05429571866989136, -0.022419672459363937, -0.010531769134104252, -0.07732722163200378, 0.0686970055103302, -0.03805601969361305, 0.0044667962938547134, -0.008021852001547813, -0.03247784078121185, -0.035960786044597626, -0.08015809953212738, 0.05457167327404022, 0.01044046226888895, -0.016907624900341034, 0.08920617401599884, 0.01403033547103405, -0.0014844004763290286, -0.0472734235227108, -0.04660145938396454, 0.04124060273170471, -0.07780415564775467, 0.00501174945384264, 0.021891409531235695, -0.08668875694274902, -0.007180322892963886, 0.12473249435424805, 0.003931607119739056, 0.0429353266954422, 0.03636538237333298, 0.02993612363934517, -0.025133877992630005, 0.13120947778224945, 0.01454046182334423, -0.09822462499141693, -0.0949614942073822, -0.002428138628602028, 0.0654723197221756, 0.01962844654917717, 0.08943158388137817, -0.11275225132703781, -0.011869975365698338, -0.021864527836441994, -0.042757775634527206, 0.004995719529688358, -3.4223234024466365e-8, -0.02966705895960331, 0.06293733417987823, -0.025249242782592773, 0.0350177027285099, -0.07102105766534805, 0.0780961886048317, -0.04982689023017883, -0.006120503880083561, 0.0005177697748877108, 0.08436699956655502, -0.016535727307200432, -0.04324476048350334, 0.021420573815703392, 0.026934005320072174, 0.0042653209529817104, 0.048255592584609985, -0.02064223773777485, -0.024093808606266975, -0.015392838045954704, 0.051277123391628265, -0.02323739603161812, 0.08665268868207932, -0.040858976542949677, -0.05042681470513344, 0.010939664207398891, -0.005226644221693277, -0.06094040349125862, 0.14850018918514252, -0.030501792207360268, 0.040629442781209946, -0.0027176763396710157, -0.010217264294624329, -0.05486665666103363, 0.04789366573095322, -0.01582234911620617, -0.06607396900653839, 0.018298013135790825, 0.03178410232067108, 0.011320087127387524, 0.021916216239333153, 0.01003680657595396, 0.01274621021002531, -0.04290889576077461, 0.04311080276966095, 0.017857903614640236, 0.12738732993602753, -0.040246106684207916, 0.007539739832282066, -0.05879437178373337, 0.07201805710792542, 0.026675784960389137, 0.07191125303506851, 0.0003966678923461586, 0.004785867873579264, 0.026488004252314568, -0.03159450367093086, -0.04366520792245865, 0.06701450794935226, -0.04419261962175369, -0.005360548384487629, 0.004292062483727932, 0.03769959881901741, 0.03713516145944595, 0.01453020703047514 ]
1402.0519
Brendan McLaughlin Dr
M F Gharaibeh, N El Hassan, M M Al Shorman, J M Bizau, D Cubaynes, S Guilbaud, I Sakho, C Blancard and B M McLaughlin
{\it K}-Shell Photoionization of B-like Atomic Nitrogen Ions: Experiment and Theory
16 pages, 3 figures, 2 tables: Accepted for publication in J. Phys. B: At. Mol. & Opt. Phys. arXiv admin note: substantial text overlap with arXiv:1308.6795
null
null
null
physics.atom-ph astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Measurements of absolute cross sections for the {\it K}-shell photoionization of B-like atomic nitrogen ions were carried out utilizing the ion-photon merged-beam technique at the SOLEIL synchrotron radiation facility in Saint-Aubin, France. High-resolution spectroscopy with E/$\Delta$E $\approx$ 13,500 was the maximum resolution achieved. We have investigated two photon energy regions: 404 eV -- 409 eV and 439 eV -- 442 eV. Resonance peaks found in the experimental measured cross sections are compared with theoretical estimates from the multi-configuration Dirac - Fock, R-matrix and empirical methods, allowing identification of the strong 1s $\rightarrow$ 2p and the weaker 1s $\rightarrow$ 3p resonances in the observed {\it K}-shell spectra of this B-like nitrogen ion.
[ { "created": "Mon, 3 Feb 2014 21:09:40 GMT", "version": "v1" }, { "created": "Tue, 11 Feb 2014 15:13:47 GMT", "version": "v2" } ]
2014-02-12
[ [ "Gharaibeh", "M F", "" ], [ "Hassan", "N El", "" ], [ "Shorman", "M M Al", "" ], [ "Bizau", "J M", "" ], [ "Cubaynes", "D", "" ], [ "Guilbaud", "S", "" ], [ "Sakho", "I", "" ], [ "Blancard", "C", "" ], [ "McLaughlin", "B M", "" ] ]
[ -0.0009617659379728138, 0.009628072381019592, -0.062372542917728424, -0.019093411043286324, -0.021218931302428246, -0.03781701996922493, 0.03871757537126541, 0.005554841365665197, 0.02553481236100197, -0.012068046256899834, -0.0023347109090536833, -0.014108525589108467, 0.00975838117301464, -0.010514650493860245, 0.051438938826322556, -0.02443484589457512, 0.04173768684267998, -0.010996637865900993, -0.07217931002378464, -0.018908387050032616, -0.08991994708776474, -0.0895119309425354, 0.02227652259171009, -0.09478698670864105, 0.03499660640954971, 0.06662402302026749, -0.00465354323387146, -0.041254471987485886, 0.002310593379661441, -0.06362127512693405, 0.05956830829381943, -0.015091774985194206, 0.0000056780058912409, -0.01933330111205578, 0.10713829845190048, -0.04816237464547157, -0.0011058340314775705, 0.02163434773683548, -0.02198048122227192, -0.04037778452038765, -0.01686946116387844, 0.053676337003707886, 0.027097562327980995, 0.0067601921036839485, -0.04545857757329941, 0.027652187272906303, -0.016802702099084854, -0.06619623303413391, -0.03440605476498604, -0.04097609221935272, 0.0517718642950058, 0.06808256357908249, 0.015281099826097488, 0.04324923828244209, -0.0416850782930851, 0.0060197096318006516, -0.06885214895009995, 0.023780569434165955, 0.03027358651161194, 0.07995423674583435, 0.0319608598947525, 0.0044807689264416695, -0.008543320931494236, -0.03311650827527046, 0.12080097943544388, 0.027751421555876732, 0.04754241555929184, -0.04699380323290825, 0.012926517985761166, -0.02302403561770916, 0.005943408701568842, -0.0030148769728839397, 0.01740410178899765, -0.031520649790763855, -0.024255748838186264, 0.027998920530080795, -0.018874315544962883, 0.044064126908779144, 0.016073154285550117, -0.053543757647275925, -0.029127977788448334, 0.05688031390309334, -0.02981114387512207, 0.04961296170949936, 0.029492147266864777, 0.029211102053523064, -0.058249831199645996, 0.025785008445382118, -0.054622747004032135, -0.019381336867809296, 0.023307565599679947, -0.06524794548749924, -0.033871933817863464, 0.017140457406640053, 0.03620229288935661, 0.08116867393255234, 0.04043194279074669, 0.0289457980543375, -0.004856139421463013, 0.04135919362306595, 0.059767406433820724, 0.049071185290813446, -0.042360592633485794, 0.08620991557836533, -0.12861058115959167, -0.01611625961959362, 0.03631317988038063, 0.0694185420870781, 0.014702689833939075, 0.04158511385321617, 0.07639873027801514, 0.017095638439059258, -0.025962017476558685, -0.0369068942964077, 0.031151918694376945, -0.05956433340907097, -0.012374193407595158, 0.003334679873660207, 0.012535990215837955, -0.053393326699733734, 0.03300423175096512, 0.01640838198363781, 0.00005582006269833073, 0.015617595054209232, 0.0019461291376501322, 0.014523277059197426, -0.07231120765209198, 1.803992976640563e-33, 0.0021070344373583794, 0.09691636264324188, 0.07679028064012527, -0.03308585286140442, -0.03008893132209778, -0.045363545417785645, -0.036977916955947876, -0.06456516683101654, -0.1386062353849411, 0.060640521347522736, -0.008222565054893494, -0.019056420773267746, 0.13628749549388885, -0.13467399775981903, -0.03073713555932045, -0.007292857859283686, -0.002839981811121106, 0.10552134364843369, -0.015099446289241314, 0.06738872826099396, 0.08240208774805069, 0.013493578881025314, 0.023694464936852455, 0.049699075520038605, -0.04393820837140083, 0.05556473881006241, 0.067091204226017, -0.0005882198456674814, 0.010260120034217834, 0.00019837035506498069, 0.03637386113405228, 0.0317147895693779, 0.006997248623520136, 0.03343703970313072, 0.0064331828616559505, -0.08500314503908157, 0.00827528815716505, 0.047419700771570206, -0.031052056699991226, 0.014387467876076698, 0.09119358658790588, 0.02678126096725464, -0.033910833299160004, 0.060968924313783646, 0.02245575562119484, -0.0005536059616133571, -0.008734715171158314, -0.08553850650787354, 0.06828634440898895, -0.012862908653914928, -0.03677137941122055, -0.07625986635684967, 0.07255887240171432, -0.039743952453136444, 0.099844790995121, 0.07056919485330582, 0.08230298012495041, -0.013534494675695896, 0.01996401883661747, -0.03400982916355133, 0.06188496947288513, -0.0390128456056118, 0.02293817512691021, -0.015253093093633652, -0.008943717926740646, 0.048475321382284164, -0.08287043124437332, -0.032418277114629745, 0.020249294117093086, 0.01187877357006073, -0.01891213282942772, 0.10793458670377731, 0.07154908031225204, -0.055554527789354324, 0.10779616236686707, 0.00544219184666872, -0.0954539105296135, 0.04897434636950493, 0.019048240035772324, 0.04736798256635666, -0.02765396609902382, -0.05235771834850311, 0.02705862931907177, -0.03673641383647919, -0.041097838431596756, -0.03423347696661949, -0.09097270667552948, -0.021591264754533768, -0.020522786304354668, -0.017183825373649597, 0.08913230150938034, -0.03089585155248642, -0.026782440021634102, -0.0919090136885643, -0.09225721657276154, -2.1757546363606272e-33, 0.07631350308656693, 0.018061036244034767, -0.02342303842306137, 0.007525213528424501, -0.011687715537846088, 0.03493595868349075, 0.008136630989611149, 0.02251962013542652, -0.07357019186019897, 0.006397333927452564, 0.12735983729362488, 0.01383397076278925, -0.08633427321910858, -0.02849791757762432, 0.0011554977390915155, 0.032254841178655624, 0.08668813109397888, 0.024065742269158363, 0.13905736804008484, 0.0032169988844543695, -0.043343521654605865, -0.0741083174943924, 0.05602770671248436, 0.02274923399090767, 0.021361036226153374, -0.014506450854241848, 0.07915344089269638, -0.06582707911729813, 0.12633411586284637, -0.06583311408758163, -0.0024481152649968863, 0.013096936978399754, 0.010548342950642109, 0.0016147448914125562, -0.04847879707813263, 0.014104027301073074, -0.031201792880892754, -0.03267117589712143, -0.015094778500497341, -0.0011857377830892801, 0.013784853741526604, 0.018851786851882935, -0.019458232447504997, -0.012327493168413639, 0.014826949685811996, -0.013339074328541756, -0.07999292761087418, 0.03920438140630722, 0.037187378853559494, -0.10231364518404007, 0.0194538664072752, -0.012673258781433105, -0.026097506284713745, 0.04815036430954933, 0.01227767113596201, 0.04867972061038017, 0.07342551648616791, 0.08925876021385193, 0.010009675286710262, -0.0026604472659528255, 0.04504738375544548, -0.05912080034613609, 0.04980110377073288, -0.000037457695725606754, -0.037158265709877014, -0.004075340460985899, -0.03989306837320328, -0.01648348942399025, -0.016483545303344727, -0.03161989152431488, -0.0851825699210167, -0.06900260597467422, 0.014714035205543041, 0.02582802064716816, 0.037150789052248, -0.046758878976106644, 0.05341288447380066, -0.09072251617908478, 0.029141198843717575, -0.02119297906756401, -0.1118016168475151, -0.005273767281323671, -0.0819290354847908, -0.07128763198852539, 0.1154572069644928, 0.03624533489346504, -0.040296994149684906, 0.028948506340384483, -0.011807006783783436, -0.10237209498882294, 0.01737057790160179, -0.04924352839589119, -0.03462279960513115, -0.05707046389579773, 0.0528501495718956, -5.330300112404984e-8, 0.052069779485464096, -0.07124792039394379, -0.03997326269745827, 0.00002962110193038825, 0.03409012779593468, 0.023321086540818214, -0.043491609394550323, 0.002688163425773382, 0.04663190245628357, -0.01490060891956091, 0.05846791714429855, -0.10886213928461075, -0.04724309593439102, -0.007718419190496206, 0.028225693851709366, 0.0021654844749718904, -0.00911884754896164, -0.07234317064285278, 0.002359124133363366, 0.03413562849164009, -0.010781900025904179, 0.02570442669093609, 0.03593164682388306, -0.12945353984832764, -0.017051881179213524, -0.012554124929010868, -0.04147099331021309, -0.01579301431775093, 0.029325954616069794, -0.1250227987766266, 0.0048494720831513405, -0.05126918479800224, 0.0934375524520874, -0.04930891841650009, -0.01439886074513197, -0.037894025444984436, -0.05257239565253258, 0.04751657694578171, 0.005392527673393488, 0.016003238037228584, -0.04125194624066353, -0.016896143555641174, -0.0358063243329525, 0.03161195293068886, 0.01179622020572424, 0.08084419369697571, -0.036700837314128876, 0.0025968088302761316, -0.050439391285181046, 0.012281547300517559, -0.03691413253545761, 0.05626671761274338, 0.018019266426563263, -0.06622370332479477, -0.08512836694717407, 0.05568329989910126, -0.0006622750661335886, -0.02468176558613777, 0.08483144640922546, 0.09113849699497223, 0.12582720816135406, -0.08641202747821808, -0.12124867737293243, 0.04481511190533638 ]
null
null
null
null
null
null
null
[ -0.0009617659379728138, 0.009628072381019592, -0.062372542917728424, -0.019093411043286324, -0.021218931302428246, -0.03781701996922493, 0.03871757537126541, 0.005554841365665197, 0.02553481236100197, -0.012068046256899834, -0.0023347109090536833, -0.014108525589108467, 0.00975838117301464, -0.010514650493860245, 0.051438938826322556, -0.02443484589457512, 0.04173768684267998, -0.010996637865900993, -0.07217931002378464, -0.018908387050032616, -0.08991994708776474, -0.0895119309425354, 0.02227652259171009, -0.09478698670864105, 0.03499660640954971, 0.06662402302026749, -0.00465354323387146, -0.041254471987485886, 0.002310593379661441, -0.06362127512693405, 0.05956830829381943, -0.015091774985194206, 0.0000056780058912409, -0.01933330111205578, 0.10713829845190048, -0.04816237464547157, -0.0011058340314775705, 0.02163434773683548, -0.02198048122227192, -0.04037778452038765, -0.01686946116387844, 0.053676337003707886, 0.027097562327980995, 0.0067601921036839485, -0.04545857757329941, 0.027652187272906303, -0.016802702099084854, -0.06619623303413391, -0.03440605476498604, -0.04097609221935272, 0.0517718642950058, 0.06808256357908249, 0.015281099826097488, 0.04324923828244209, -0.0416850782930851, 0.0060197096318006516, -0.06885214895009995, 0.023780569434165955, 0.03027358651161194, 0.07995423674583435, 0.0319608598947525, 0.0044807689264416695, -0.008543320931494236, -0.03311650827527046, 0.12080097943544388, 0.027751421555876732, 0.04754241555929184, -0.04699380323290825, 0.012926517985761166, -0.02302403561770916, 0.005943408701568842, -0.0030148769728839397, 0.01740410178899765, -0.031520649790763855, -0.024255748838186264, 0.027998920530080795, -0.018874315544962883, 0.044064126908779144, 0.016073154285550117, -0.053543757647275925, -0.029127977788448334, 0.05688031390309334, -0.02981114387512207, 0.04961296170949936, 0.029492147266864777, 0.029211102053523064, -0.058249831199645996, 0.025785008445382118, -0.054622747004032135, -0.019381336867809296, 0.023307565599679947, -0.06524794548749924, -0.033871933817863464, 0.017140457406640053, 0.03620229288935661, 0.08116867393255234, 0.04043194279074669, 0.0289457980543375, -0.004856139421463013, 0.04135919362306595, 0.059767406433820724, 0.049071185290813446, -0.042360592633485794, 0.08620991557836533, -0.12861058115959167, -0.01611625961959362, 0.03631317988038063, 0.0694185420870781, 0.014702689833939075, 0.04158511385321617, 0.07639873027801514, 0.017095638439059258, -0.025962017476558685, -0.0369068942964077, 0.031151918694376945, -0.05956433340907097, -0.012374193407595158, 0.003334679873660207, 0.012535990215837955, -0.053393326699733734, 0.03300423175096512, 0.01640838198363781, 0.00005582006269833073, 0.015617595054209232, 0.0019461291376501322, 0.014523277059197426, -0.07231120765209198, 1.803992976640563e-33, 0.0021070344373583794, 0.09691636264324188, 0.07679028064012527, -0.03308585286140442, -0.03008893132209778, -0.045363545417785645, -0.036977916955947876, -0.06456516683101654, -0.1386062353849411, 0.060640521347522736, -0.008222565054893494, -0.019056420773267746, 0.13628749549388885, -0.13467399775981903, -0.03073713555932045, -0.007292857859283686, -0.002839981811121106, 0.10552134364843369, -0.015099446289241314, 0.06738872826099396, 0.08240208774805069, 0.013493578881025314, 0.023694464936852455, 0.049699075520038605, -0.04393820837140083, 0.05556473881006241, 0.067091204226017, -0.0005882198456674814, 0.010260120034217834, 0.00019837035506498069, 0.03637386113405228, 0.0317147895693779, 0.006997248623520136, 0.03343703970313072, 0.0064331828616559505, -0.08500314503908157, 0.00827528815716505, 0.047419700771570206, -0.031052056699991226, 0.014387467876076698, 0.09119358658790588, 0.02678126096725464, -0.033910833299160004, 0.060968924313783646, 0.02245575562119484, -0.0005536059616133571, -0.008734715171158314, -0.08553850650787354, 0.06828634440898895, -0.012862908653914928, -0.03677137941122055, -0.07625986635684967, 0.07255887240171432, -0.039743952453136444, 0.099844790995121, 0.07056919485330582, 0.08230298012495041, -0.013534494675695896, 0.01996401883661747, -0.03400982916355133, 0.06188496947288513, -0.0390128456056118, 0.02293817512691021, -0.015253093093633652, -0.008943717926740646, 0.048475321382284164, -0.08287043124437332, -0.032418277114629745, 0.020249294117093086, 0.01187877357006073, -0.01891213282942772, 0.10793458670377731, 0.07154908031225204, -0.055554527789354324, 0.10779616236686707, 0.00544219184666872, -0.0954539105296135, 0.04897434636950493, 0.019048240035772324, 0.04736798256635666, -0.02765396609902382, -0.05235771834850311, 0.02705862931907177, -0.03673641383647919, -0.041097838431596756, -0.03423347696661949, -0.09097270667552948, -0.021591264754533768, -0.020522786304354668, -0.017183825373649597, 0.08913230150938034, -0.03089585155248642, -0.026782440021634102, -0.0919090136885643, -0.09225721657276154, -2.1757546363606272e-33, 0.07631350308656693, 0.018061036244034767, -0.02342303842306137, 0.007525213528424501, -0.011687715537846088, 0.03493595868349075, 0.008136630989611149, 0.02251962013542652, -0.07357019186019897, 0.006397333927452564, 0.12735983729362488, 0.01383397076278925, -0.08633427321910858, -0.02849791757762432, 0.0011554977390915155, 0.032254841178655624, 0.08668813109397888, 0.024065742269158363, 0.13905736804008484, 0.0032169988844543695, -0.043343521654605865, -0.0741083174943924, 0.05602770671248436, 0.02274923399090767, 0.021361036226153374, -0.014506450854241848, 0.07915344089269638, -0.06582707911729813, 0.12633411586284637, -0.06583311408758163, -0.0024481152649968863, 0.013096936978399754, 0.010548342950642109, 0.0016147448914125562, -0.04847879707813263, 0.014104027301073074, -0.031201792880892754, -0.03267117589712143, -0.015094778500497341, -0.0011857377830892801, 0.013784853741526604, 0.018851786851882935, -0.019458232447504997, -0.012327493168413639, 0.014826949685811996, -0.013339074328541756, -0.07999292761087418, 0.03920438140630722, 0.037187378853559494, -0.10231364518404007, 0.0194538664072752, -0.012673258781433105, -0.026097506284713745, 0.04815036430954933, 0.01227767113596201, 0.04867972061038017, 0.07342551648616791, 0.08925876021385193, 0.010009675286710262, -0.0026604472659528255, 0.04504738375544548, -0.05912080034613609, 0.04980110377073288, -0.000037457695725606754, -0.037158265709877014, -0.004075340460985899, -0.03989306837320328, -0.01648348942399025, -0.016483545303344727, -0.03161989152431488, -0.0851825699210167, -0.06900260597467422, 0.014714035205543041, 0.02582802064716816, 0.037150789052248, -0.046758878976106644, 0.05341288447380066, -0.09072251617908478, 0.029141198843717575, -0.02119297906756401, -0.1118016168475151, -0.005273767281323671, -0.0819290354847908, -0.07128763198852539, 0.1154572069644928, 0.03624533489346504, -0.040296994149684906, 0.028948506340384483, -0.011807006783783436, -0.10237209498882294, 0.01737057790160179, -0.04924352839589119, -0.03462279960513115, -0.05707046389579773, 0.0528501495718956, -5.330300112404984e-8, 0.052069779485464096, -0.07124792039394379, -0.03997326269745827, 0.00002962110193038825, 0.03409012779593468, 0.023321086540818214, -0.043491609394550323, 0.002688163425773382, 0.04663190245628357, -0.01490060891956091, 0.05846791714429855, -0.10886213928461075, -0.04724309593439102, -0.007718419190496206, 0.028225693851709366, 0.0021654844749718904, -0.00911884754896164, -0.07234317064285278, 0.002359124133363366, 0.03413562849164009, -0.010781900025904179, 0.02570442669093609, 0.03593164682388306, -0.12945353984832764, -0.017051881179213524, -0.012554124929010868, -0.04147099331021309, -0.01579301431775093, 0.029325954616069794, -0.1250227987766266, 0.0048494720831513405, -0.05126918479800224, 0.0934375524520874, -0.04930891841650009, -0.01439886074513197, -0.037894025444984436, -0.05257239565253258, 0.04751657694578171, 0.005392527673393488, 0.016003238037228584, -0.04125194624066353, -0.016896143555641174, -0.0358063243329525, 0.03161195293068886, 0.01179622020572424, 0.08084419369697571, -0.036700837314128876, 0.0025968088302761316, -0.050439391285181046, 0.012281547300517559, -0.03691413253545761, 0.05626671761274338, 0.018019266426563263, -0.06622370332479477, -0.08512836694717407, 0.05568329989910126, -0.0006622750661335886, -0.02468176558613777, 0.08483144640922546, 0.09113849699497223, 0.12582720816135406, -0.08641202747821808, -0.12124867737293243, 0.04481511190533638 ]
1402.0521
Vesal Hakami
Vesal Hakami and Mehdi Dehghan
Cognitive Forwarding Control in Wireless Ad-Hoc Networks with Slow Fading Channels
29 pages, 9 figures, 2 tables. Wireless Networks (Springer), Vol. XX, No. XX, 2015
Wireless Networks, Vol. 21, No. 7, pp 2327-2343, Oct. 2015
10.1007/s11276-015-0919-y
null
cs.NI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose a decentralized stochastic control solution for the broadcast message dissemination problem in wireless ad hoc networks with slow fading channels. We formulate the control problem as a dynamic robust game which is well justified by two key observations; first, the shared nature of the wireless medium which inevitably cross-couples the nodes' forwarding decisions, thus binding them together as strategic players; second, the stochastic dynamics associated with the link qualities which renders the transmission costs noisy, thus motivating a robust formulation. Given the non stationarity induced by the fading process, an online solution for the formulated game would then require an adaptive procedure capable of both convergence to and tracking strategic equilibria as the environment changes. To this end, we deploy the strategic and non stationary learning algorithm of regret tracking, the temporally adaptive variant of the celebrated regret matching algorithm, to guarantee the emergence and active tracking of the correlated equilibria in the dynamic robust forwarding game. We also make provision for exploiting the channel state information, when available, to enhance the convergence speed of the learning algorithm by conducting an accurate transmission cost estimation. This cost estimate can basically serve as a model which spares the algorithm from extra action exploration, thus rendering the learning process more sample efficient. Simulation results reveal that our proposed solution excels in terms of both the number of transmissions and load distribution while also maintaining near perfect delivery ratio, especially in dense crowded environments.
[ { "created": "Mon, 3 Feb 2014 21:19:17 GMT", "version": "v1" }, { "created": "Mon, 1 Jun 2015 11:44:05 GMT", "version": "v2" } ]
2016-06-16
[ [ "Hakami", "Vesal", "" ], [ "Dehghan", "Mehdi", "" ] ]
[ 0.01812315173447132, -0.03583843633532524, -0.015074229799211025, 0.05060814321041107, 0.014654808677732944, -0.020369606092572212, 0.035886093974113464, -0.004172933753579855, 0.07770626246929169, 0.02551865018904209, -0.03275896608829498, 0.04756125062704086, 0.0741179808974266, -0.014572957530617714, -0.027158979326486588, -0.0031273120548576117, 0.10427206754684448, 0.0430498942732811, 0.022618649527430534, -0.02641882933676243, -0.021587932482361794, 0.013193766586482525, 0.03548726439476013, 0.01148337684571743, 0.010786453261971474, -0.06712418049573898, 0.015585855580866337, 0.03642740845680237, -0.056337449699640274, 0.053590938448905945, -0.012243563309311867, -0.08860798925161362, -0.007654143497347832, -0.06543448567390442, -0.09927508234977722, -0.017592471092939377, -0.10221083462238312, -0.02887699380517006, 0.004838077817112207, 0.05987830087542534, -0.025131070986390114, -0.0035148935858160257, -0.08826375007629395, 0.02913227118551731, -0.054574932903051376, -0.022971127182245255, 0.034278884530067444, 0.047005537897348404, -0.0302885714918375, 0.019771145656704903, 0.03516592085361481, -0.06628548353910446, -0.05255831405520439, 0.02058911882340908, 0.08747250586748123, 0.07060802727937698, -0.038983941078186035, 0.11095614731311798, -0.013652794994413853, 0.020927315577864647, 0.044786348938941956, -0.09600779414176941, -0.02944808080792427, -0.02851863019168377, -0.03394733741879463, -0.012100879102945328, -0.001975747523829341, 0.07252876460552216, -0.041798513382673264, 0.04692379757761955, 0.025943826884031296, 0.04504413157701492, 0.03300011530518532, 0.020501945167779922, -0.020406797528266907, 0.028909221291542053, 0.021092364564538002, -0.025267858058214188, -0.05417247861623764, 0.07549551874399185, 0.032891251146793365, 0.010420694947242737, -0.018280237913131714, -0.019130364060401917, 0.08197509497404099, -0.04446090757846832, -0.03445902094244957, 0.029042430222034454, 0.12591178715229034, -0.09982548654079437, -0.1003289520740509, 0.05484849587082863, -0.04258531704545021, -0.004305173177272081, 0.013913137838244438, 0.057961054146289825, -0.04131029546260834, -0.020805032923817635, 0.01181164849549532, 0.08704520016908646, 0.014180093072354794, 0.038422778248786926, 0.003415637416765094, -0.0033643110655248165, 0.062218185514211655, -0.008458616212010384, -0.011992757208645344, 0.097625233232975, 0.07309908419847488, -0.016791000962257385, -0.013918413780629635, -0.003479826031252742, 0.0203090887516737, 0.03173335641622543, -0.04057342931628227, 0.047513920813798904, 0.060557734221220016, 0.03238081559538841, -0.04457198455929756, 0.12926778197288513, 0.027964090928435326, -0.08379101753234863, 0.08481060713529587, 0.0050872876308858395, 0.029962792992591858, -0.00962598156183958, 0.03733881935477257, 4.3538594578623077e-35, 0.05932087451219559, 0.015182387083768845, 0.025242295116186142, -0.05860980600118637, 0.030406955629587173, 0.03135356679558754, 0.09423588216304779, -0.06578200310468674, -0.03735498711466789, -0.06985808908939362, 0.010759240947663784, 0.07936374098062515, -0.07172299176454544, 0.033786460757255554, 0.09669485688209534, -0.12002407014369965, -0.04986412823200226, 0.019632281735539436, 0.16478276252746582, -0.06349160522222519, 0.08735925704240799, -0.09782693535089493, -0.0604054294526577, -0.0876632109284401, 0.047233905643224716, 0.015329420566558838, -0.024225737899541855, -0.03592262789607048, 0.11805978417396545, -0.0009377989917993546, -0.027322880923748016, -0.003459477098658681, -0.03346693888306618, -0.014155820943415165, 0.05501676723361015, -0.025482822209596634, -0.1257891207933426, -0.006221155170351267, -0.011419483460485935, 0.006630962714552879, 0.029181839898228645, -0.00041376447188667953, -0.0425526425242424, 0.024171695113182068, -0.06805132329463959, -0.08830109238624573, -0.002899712882936001, -0.007719443645328283, -0.11434467136859894, -0.07340339571237564, 0.057126957923173904, -0.03329184278845787, -0.058773964643478394, -0.02113437093794346, -0.02616141363978386, -0.05442289635539055, -0.0024972513783723116, 0.026231275871396065, -0.07832157611846924, 0.02401714213192463, 0.022022079676389694, -0.015352380461990833, 0.0320405438542366, -0.03430718928575516, 0.05341348052024841, 0.07757792621850967, -0.05096212774515152, 0.0368378572165966, 0.01411320362240076, -0.11455008387565613, 0.019084110856056213, 0.020071163773536682, 0.022357631474733353, -0.04275784268975258, 0.0337933748960495, 0.019599998369812965, 0.054346900433301926, 0.01610327884554863, 0.004067518748342991, -0.03350004553794861, -0.0820167064666748, -0.024216536432504654, -0.1265179067850113, 0.021219344809651375, -0.0030803338158875704, -0.05422036349773407, 0.020828116685152054, -0.03777549788355827, -0.09327821433544159, 0.011677740141749382, -0.022677794098854065, 0.02901579439640045, -0.04584990441799164, 0.08731836825609207, 0.04598953202366829, -1.9360100380342774e-34, 0.014316607266664505, -0.05710471048951149, 0.00883426796644926, 0.008292359299957752, 0.022496026009321213, -0.008368692360818386, -0.06229464337229729, -0.07202304899692535, -0.004242813214659691, -0.07416819036006927, -0.12902583181858063, 0.026046937331557274, 0.05485261231660843, 0.025070292875170708, -0.04449349641799927, -0.0934188961982727, 0.081657275557518, 0.05507229268550873, 0.0041437046602368355, -0.044392749667167664, -0.015625201165676117, 0.05727630481123924, -0.0527053028345108, -0.017083629965782166, 0.08570834249258041, 0.0083647221326828, 0.08199242502450943, 0.07022666931152344, -0.009517685510218143, 0.044199809432029724, -0.016447244212031364, -0.015154342167079449, 0.01977512054145336, -0.043831612914800644, 0.008173869922757149, 0.10579418390989304, 0.026744740083813667, 0.002996698021888733, -0.006960401311516762, 0.027500303462147713, 0.06423775851726532, -0.06826504319906235, -0.03517720848321915, 0.01827474869787693, 0.03812699392437935, 0.012529293075203896, -0.011202308349311352, -0.011929793283343315, -0.006891330238431692, 0.0069668968208134174, 0.12134028226137161, -0.0016225747531279922, -0.06779254972934723, -0.008123555220663548, -0.08857562392950058, 0.031282056123018265, -0.03101678192615509, 0.034369442611932755, 0.08481631428003311, 0.049534790217876434, 0.03720920532941818, -0.013650903478264809, -0.013571381568908691, 0.0711137130856514, -0.0028556371107697487, 0.010597014799714088, 0.0004984803963452578, -0.023161152377724648, 0.08052050322294235, 0.011410422623157501, 0.0008800406358204782, 0.011111526750028133, -0.06742805242538452, -0.022258400917053223, 0.07708149403333664, -0.007464098744094372, 0.02662692777812481, 0.11634597927331924, -0.023126764222979546, -0.0012654789024963975, -0.023832101374864578, 0.08327586948871613, 0.07032497227191925, -0.05537848919630051, 0.05373626947402954, 0.04977240040898323, 0.019291365519165993, 0.04460690915584564, -0.07120466977357864, -0.05679343640804291, 0.029093343764543533, -0.03912783041596413, 0.041697580367326736, -0.044764693826436996, -0.05837825685739517, -4.914084072993319e-8, -0.10838868468999863, 0.008670187555253506, 0.07051192224025726, -0.003767013316974044, 0.10016292333602905, 0.028264258056879044, 0.05700290948152542, -0.07627680152654648, 0.030751509591937065, -0.027679529041051865, 0.0044432394206523895, 0.030728809535503387, 0.003092283383011818, -0.02060035802423954, -0.04718976467847824, 0.06499510258436203, -0.04416005685925484, -0.09486443549394608, 0.013077275827527046, 0.012034795247018337, -0.00609723012894392, 0.0015012448420748115, -0.05961083248257637, 0.005345785524696112, -0.002686507534235716, 0.0005124558811075985, 0.054064322263002396, 0.03431218862533569, 0.0869741141796112, 0.036053843796253204, 0.008579962886869907, -0.017008958384394646, 0.05795131251215935, 0.010136076249182224, -0.028249355033040047, 0.02620132640004158, 0.022721031680703163, -0.030624816194176674, 0.012686096131801605, 0.03612883761525154, -0.012796944938600063, 0.059659212827682495, -0.02509044110774994, -0.02389294095337391, -0.0212405975908041, 0.029231104999780655, -0.022332334890961647, -0.0016216052463278174, -0.02490353025496006, -0.07591000944375992, 0.07558324187994003, -0.013829528354108334, -0.02882281132042408, -0.03816846385598183, 0.07576577365398407, -0.02969120442867279, 0.0423588827252388, -0.053632352501153946, -0.003895175876095891, 0.08711126446723938, -0.055822718888521194, -0.006027435418218374, -0.1000838503241539, 0.020732413977384567 ]
null
null
null
null
null
null
null
[ 0.01812315173447132, -0.03583843633532524, -0.015074229799211025, 0.05060814321041107, 0.014654808677732944, -0.020369606092572212, 0.035886093974113464, -0.004172933753579855, 0.07770626246929169, 0.02551865018904209, -0.03275896608829498, 0.04756125062704086, 0.0741179808974266, -0.014572957530617714, -0.027158979326486588, -0.0031273120548576117, 0.10427206754684448, 0.0430498942732811, 0.022618649527430534, -0.02641882933676243, -0.021587932482361794, 0.013193766586482525, 0.03548726439476013, 0.01148337684571743, 0.010786453261971474, -0.06712418049573898, 0.015585855580866337, 0.03642740845680237, -0.056337449699640274, 0.053590938448905945, -0.012243563309311867, -0.08860798925161362, -0.007654143497347832, -0.06543448567390442, -0.09927508234977722, -0.017592471092939377, -0.10221083462238312, -0.02887699380517006, 0.004838077817112207, 0.05987830087542534, -0.025131070986390114, -0.0035148935858160257, -0.08826375007629395, 0.02913227118551731, -0.054574932903051376, -0.022971127182245255, 0.034278884530067444, 0.047005537897348404, -0.0302885714918375, 0.019771145656704903, 0.03516592085361481, -0.06628548353910446, -0.05255831405520439, 0.02058911882340908, 0.08747250586748123, 0.07060802727937698, -0.038983941078186035, 0.11095614731311798, -0.013652794994413853, 0.020927315577864647, 0.044786348938941956, -0.09600779414176941, -0.02944808080792427, -0.02851863019168377, -0.03394733741879463, -0.012100879102945328, -0.001975747523829341, 0.07252876460552216, -0.041798513382673264, 0.04692379757761955, 0.025943826884031296, 0.04504413157701492, 0.03300011530518532, 0.020501945167779922, -0.020406797528266907, 0.028909221291542053, 0.021092364564538002, -0.025267858058214188, -0.05417247861623764, 0.07549551874399185, 0.032891251146793365, 0.010420694947242737, -0.018280237913131714, -0.019130364060401917, 0.08197509497404099, -0.04446090757846832, -0.03445902094244957, 0.029042430222034454, 0.12591178715229034, -0.09982548654079437, -0.1003289520740509, 0.05484849587082863, -0.04258531704545021, -0.004305173177272081, 0.013913137838244438, 0.057961054146289825, -0.04131029546260834, -0.020805032923817635, 0.01181164849549532, 0.08704520016908646, 0.014180093072354794, 0.038422778248786926, 0.003415637416765094, -0.0033643110655248165, 0.062218185514211655, -0.008458616212010384, -0.011992757208645344, 0.097625233232975, 0.07309908419847488, -0.016791000962257385, -0.013918413780629635, -0.003479826031252742, 0.0203090887516737, 0.03173335641622543, -0.04057342931628227, 0.047513920813798904, 0.060557734221220016, 0.03238081559538841, -0.04457198455929756, 0.12926778197288513, 0.027964090928435326, -0.08379101753234863, 0.08481060713529587, 0.0050872876308858395, 0.029962792992591858, -0.00962598156183958, 0.03733881935477257, 4.3538594578623077e-35, 0.05932087451219559, 0.015182387083768845, 0.025242295116186142, -0.05860980600118637, 0.030406955629587173, 0.03135356679558754, 0.09423588216304779, -0.06578200310468674, -0.03735498711466789, -0.06985808908939362, 0.010759240947663784, 0.07936374098062515, -0.07172299176454544, 0.033786460757255554, 0.09669485688209534, -0.12002407014369965, -0.04986412823200226, 0.019632281735539436, 0.16478276252746582, -0.06349160522222519, 0.08735925704240799, -0.09782693535089493, -0.0604054294526577, -0.0876632109284401, 0.047233905643224716, 0.015329420566558838, -0.024225737899541855, -0.03592262789607048, 0.11805978417396545, -0.0009377989917993546, -0.027322880923748016, -0.003459477098658681, -0.03346693888306618, -0.014155820943415165, 0.05501676723361015, -0.025482822209596634, -0.1257891207933426, -0.006221155170351267, -0.011419483460485935, 0.006630962714552879, 0.029181839898228645, -0.00041376447188667953, -0.0425526425242424, 0.024171695113182068, -0.06805132329463959, -0.08830109238624573, -0.002899712882936001, -0.007719443645328283, -0.11434467136859894, -0.07340339571237564, 0.057126957923173904, -0.03329184278845787, -0.058773964643478394, -0.02113437093794346, -0.02616141363978386, -0.05442289635539055, -0.0024972513783723116, 0.026231275871396065, -0.07832157611846924, 0.02401714213192463, 0.022022079676389694, -0.015352380461990833, 0.0320405438542366, -0.03430718928575516, 0.05341348052024841, 0.07757792621850967, -0.05096212774515152, 0.0368378572165966, 0.01411320362240076, -0.11455008387565613, 0.019084110856056213, 0.020071163773536682, 0.022357631474733353, -0.04275784268975258, 0.0337933748960495, 0.019599998369812965, 0.054346900433301926, 0.01610327884554863, 0.004067518748342991, -0.03350004553794861, -0.0820167064666748, -0.024216536432504654, -0.1265179067850113, 0.021219344809651375, -0.0030803338158875704, -0.05422036349773407, 0.020828116685152054, -0.03777549788355827, -0.09327821433544159, 0.011677740141749382, -0.022677794098854065, 0.02901579439640045, -0.04584990441799164, 0.08731836825609207, 0.04598953202366829, -1.9360100380342774e-34, 0.014316607266664505, -0.05710471048951149, 0.00883426796644926, 0.008292359299957752, 0.022496026009321213, -0.008368692360818386, -0.06229464337229729, -0.07202304899692535, -0.004242813214659691, -0.07416819036006927, -0.12902583181858063, 0.026046937331557274, 0.05485261231660843, 0.025070292875170708, -0.04449349641799927, -0.0934188961982727, 0.081657275557518, 0.05507229268550873, 0.0041437046602368355, -0.044392749667167664, -0.015625201165676117, 0.05727630481123924, -0.0527053028345108, -0.017083629965782166, 0.08570834249258041, 0.0083647221326828, 0.08199242502450943, 0.07022666931152344, -0.009517685510218143, 0.044199809432029724, -0.016447244212031364, -0.015154342167079449, 0.01977512054145336, -0.043831612914800644, 0.008173869922757149, 0.10579418390989304, 0.026744740083813667, 0.002996698021888733, -0.006960401311516762, 0.027500303462147713, 0.06423775851726532, -0.06826504319906235, -0.03517720848321915, 0.01827474869787693, 0.03812699392437935, 0.012529293075203896, -0.011202308349311352, -0.011929793283343315, -0.006891330238431692, 0.0069668968208134174, 0.12134028226137161, -0.0016225747531279922, -0.06779254972934723, -0.008123555220663548, -0.08857562392950058, 0.031282056123018265, -0.03101678192615509, 0.034369442611932755, 0.08481631428003311, 0.049534790217876434, 0.03720920532941818, -0.013650903478264809, -0.013571381568908691, 0.0711137130856514, -0.0028556371107697487, 0.010597014799714088, 0.0004984803963452578, -0.023161152377724648, 0.08052050322294235, 0.011410422623157501, 0.0008800406358204782, 0.011111526750028133, -0.06742805242538452, -0.022258400917053223, 0.07708149403333664, -0.007464098744094372, 0.02662692777812481, 0.11634597927331924, -0.023126764222979546, -0.0012654789024963975, -0.023832101374864578, 0.08327586948871613, 0.07032497227191925, -0.05537848919630051, 0.05373626947402954, 0.04977240040898323, 0.019291365519165993, 0.04460690915584564, -0.07120466977357864, -0.05679343640804291, 0.029093343764543533, -0.03912783041596413, 0.041697580367326736, -0.044764693826436996, -0.05837825685739517, -4.914084072993319e-8, -0.10838868468999863, 0.008670187555253506, 0.07051192224025726, -0.003767013316974044, 0.10016292333602905, 0.028264258056879044, 0.05700290948152542, -0.07627680152654648, 0.030751509591937065, -0.027679529041051865, 0.0044432394206523895, 0.030728809535503387, 0.003092283383011818, -0.02060035802423954, -0.04718976467847824, 0.06499510258436203, -0.04416005685925484, -0.09486443549394608, 0.013077275827527046, 0.012034795247018337, -0.00609723012894392, 0.0015012448420748115, -0.05961083248257637, 0.005345785524696112, -0.002686507534235716, 0.0005124558811075985, 0.054064322263002396, 0.03431218862533569, 0.0869741141796112, 0.036053843796253204, 0.008579962886869907, -0.017008958384394646, 0.05795131251215935, 0.010136076249182224, -0.028249355033040047, 0.02620132640004158, 0.022721031680703163, -0.030624816194176674, 0.012686096131801605, 0.03612883761525154, -0.012796944938600063, 0.059659212827682495, -0.02509044110774994, -0.02389294095337391, -0.0212405975908041, 0.029231104999780655, -0.022332334890961647, -0.0016216052463278174, -0.02490353025496006, -0.07591000944375992, 0.07558324187994003, -0.013829528354108334, -0.02882281132042408, -0.03816846385598183, 0.07576577365398407, -0.02969120442867279, 0.0423588827252388, -0.053632352501153946, -0.003895175876095891, 0.08711126446723938, -0.055822718888521194, -0.006027435418218374, -0.1000838503241539, 0.020732413977384567 ]
1402.0525
Emrah Akyol
Mustafa Mehmetoglu and Emrah Akyol and Kenneth Rose
A Deterministic Annealing Approach to Witsenhausen's Counterexample
submitted to ISIT'14
null
null
null
cs.IT cs.SY math.IT math.OC
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
This paper proposes a numerical method, based on information theoretic ideas, to a class of distributed control problems. As a particular test case, the well-known and numerically "over-mined" problem of decentralized control and implicit communication, commonly referred to as Witsenhausen's counterexample, is considered. The method provides a small improvement over the best numerical result so far for this benchmark problem. The key idea is to randomize the zero-delay mappings. which become "soft", probabilistic mappings to be optimized in a deterministic annealing process, by incorporating a Shannon entropy constraint in the problem formulation. The entropy of the mapping is controlled and gradually lowered to zero to obtain deterministic mappings, while avoiding poor local minima. Proposed method obtains new mappings that shed light on the structure of the optimal solution, as well as achieving a small improvement in total cost over the state of the art in numerical approaches to this problem.
[ { "created": "Mon, 3 Feb 2014 21:31:30 GMT", "version": "v1" } ]
2014-02-05
[ [ "Mehmetoglu", "Mustafa", "" ], [ "Akyol", "Emrah", "" ], [ "Rose", "Kenneth", "" ] ]
[ 0.08454849570989609, 0.005662144161760807, 0.0036847603041678667, 0.017799383029341698, -0.06275490671396255, -0.024613648653030396, 0.054981060326099396, 0.006448738742619753, 0.008350778371095657, 0.05534945800900459, 0.016559315845370293, -0.022335026413202286, 0.12458129972219467, -0.08514627814292908, -0.09325628727674484, 0.029505601152777672, 0.05711567774415016, -0.02761729247868061, 0.01433113869279623, -0.009189071133732796, -0.004742169287055731, 0.010075670666992664, -0.02299199253320694, -0.0336807519197464, -0.037524256855249405, -0.013473468832671642, 0.005797651130706072, 0.0013271782081574202, -0.04916461557149887, -0.035689759999513626, 0.01564599759876728, 0.011470410972833633, -0.009717506356537342, -0.05824672803282738, 0.015840360894799232, 0.09741626679897308, -0.033763546496629715, -0.002113704802468419, -0.012351909652352333, 0.07685015350580215, 0.006897600833326578, 0.032513298094272614, 0.03859085217118263, 0.00785357691347599, -0.028112046420574188, 0.013176824897527695, 0.008176038041710854, 0.08939521759748459, -0.04192857816815376, -0.04840002581477165, -0.05031518265604973, -0.014456197619438171, 0.022546548396348953, -0.029242774471640587, 0.04449987784028053, -0.04069223254919052, 0.019369719550013542, -0.06702852994203568, -0.022857310250401497, 0.05419505015015602, 0.044229988008737564, -0.06528599560260773, 0.06296694278717041, -0.024800263345241547, 0.038746580481529236, 0.06936865299940109, 0.06137513369321823, -0.0025853575207293034, -0.024345701560378075, -0.03567647561430931, -0.011936509981751442, 0.009401710703969002, 0.019492078572511673, 0.028021525591611862, 0.034449487924575806, -0.06545407325029373, 0.0445961132645607, 0.009328814223408699, -0.01279798336327076, -0.005779442377388477, -0.020310794934630394, -0.017362749204039574, 0.0005761382635682821, 0.012470601126551628, 0.035130973905324936, -0.04130476713180542, -0.025249352678656578, -0.05608905479311943, 0.15817007422447205, -0.04955461248755455, -0.048632409423589706, -0.03761427104473114, -0.07660707086324692, 0.03649953007698059, 0.014287015423178673, -0.00027328936266712844, 0.035731010138988495, 0.032816559076309204, 0.015385192818939686, 0.04558134824037552, 0.038947105407714844, -0.009986075572669506, -0.00806671567261219, -0.08936140686273575, 0.01642061397433281, -0.011952945031225681, 0.06539221107959747, -0.017990760505199432, -0.0739462748169899, -0.04608883336186409, 0.009970922023057938, 0.004231431055814028, -0.04565824195742607, 0.04186353459954262, -0.05988543480634689, 0.004864555783569813, 0.060181740671396255, 0.017659923061728477, -0.06660693138837814, 0.00646548205986619, -0.06357251852750778, -0.06683472543954849, 0.059112418442964554, -0.01745627261698246, -0.008032972924411297, 0.08535443991422653, -0.0224324781447649, 1.563142816693715e-33, -0.024993425235152245, 0.009497269056737423, -0.04467909410595894, -0.0032209367491304874, 0.08457291126251221, 0.0398423969745636, 0.062221720814704895, 0.05368009954690933, -0.08877282589673996, 0.040711283683776855, 0.038438357412815094, -0.033833831548690796, -0.0722881630063057, -0.07835960388183594, 0.035525232553482056, -0.055104438215494156, 0.0077907308004796505, 0.036128442734479904, -0.014776279218494892, -0.07654845714569092, 0.032576028257608414, -0.0015578701859340072, -0.03210793808102608, -0.09000954777002335, 0.06390650570392609, -0.016795950010418892, -0.055991031229496, -0.01566072180867195, 0.06057405099272728, -0.008037148043513298, -0.012929757125675678, -0.013404512777924538, 0.0022858139127492905, 0.010683201253414154, 0.037463217973709106, 0.04833458736538887, -0.05891430377960205, 0.021679462864995003, -0.07125844806432724, 0.04951181635260582, 0.0310787595808506, -0.02921976149082184, -0.04528355598449707, -0.07921789586544037, -0.010851027444005013, -0.056408777832984924, -0.04317041486501694, 0.05031869560480118, 0.005244036670774221, -0.06338584423065186, 0.01584628038108349, 0.0028165634721517563, -0.05202288553118706, -0.006985665298998356, 0.05484313517808914, -0.0613861083984375, 0.012098989449441433, -0.053746532648801804, -0.03973327949643135, 0.19273917376995087, -0.11186143755912781, -0.06151894852519035, 0.05941009521484375, -0.03344360738992691, 0.09470412880182266, 0.0685248151421547, 0.029667582362890244, -0.061981942504644394, 0.1031024232506752, -0.07893165946006775, 0.03344662860035896, -0.04720330983400345, 0.039937831461429596, 0.006514118984341621, 0.05842527747154236, -0.009210878051817417, 0.008885207585990429, -0.0011917119845747948, -0.01774424873292446, -0.00756436213850975, 0.00493958592414856, 0.03605687618255615, -0.12164071947336197, 0.0599278025329113, 0.02244821935892105, -0.029383786022663116, -0.03294749557971954, 0.08507003635168076, -0.09916118532419205, 0.016249455511569977, -0.06809449940919876, 0.07669974118471146, -0.010698751546442509, 0.019300762563943863, -0.025836138054728508, -2.9093147228225754e-33, -0.10193061083555222, -0.04918348789215088, 0.024031825363636017, 0.07265406101942062, -0.0056353905238211155, -0.052496764808893204, -0.04696543142199516, -0.06205234304070473, 0.018029097467660904, 0.06474006921052933, -0.07237929850816727, -0.029855821281671524, -0.028112510219216347, 0.00003481009116512723, -0.008789898827672005, 0.08620727062225342, 0.08627060800790787, 0.007653255481272936, 0.08947411179542542, -0.009409405291080475, -0.023753050714731216, 0.15009596943855286, -0.04725191742181778, 0.02889455482363701, 0.058035194873809814, 0.04939405992627144, -0.021809924393892288, 0.08162322640419006, -0.006412630435079336, 0.039245158433914185, -0.06875456869602203, -0.09193854033946991, -0.03583957999944687, 0.023990854620933533, -0.03761781007051468, 0.018211502581834793, 0.007916734553873539, 0.08185738325119019, 0.032523274421691895, 0.09061136096715927, -0.02810044027864933, -0.0020216316916048527, -0.11755368858575821, -0.02472366951406002, 0.048068393021821976, -0.004459451884031296, -0.018544036895036697, 0.030889905989170074, 0.04408511519432068, 0.09914035350084305, 0.019020238891243935, -0.0239220280200243, -0.007130376063287258, -0.009735805913805962, -0.06769779324531555, 0.02566145360469818, -0.09702152758836746, 0.08776049315929413, 0.06624854356050491, 0.04766048491001129, -0.04967527464032173, -0.06823641061782837, 0.06914782524108887, 0.0468042753636837, 0.0145846176892519, 0.06529149413108826, 0.04494709149003029, -0.025425225496292114, 0.04693920910358429, 0.0350586473941803, 0.00020676634449046105, 0.08235576748847961, -0.014769543893635273, 0.023053985089063644, 0.08284775912761688, 0.024167051538825035, 0.03048316389322281, 0.06031513959169388, -0.030811723321676254, -0.053018394857645035, -0.03606913611292839, 0.045306622982025146, 0.009606040082871914, 0.007806781679391861, -0.03694450855255127, 0.04272685572504997, 0.1090770959854126, -0.05583929270505905, 0.08093548566102982, -0.09899092465639114, 0.03304651752114296, 0.06561014801263809, -0.009867805056273937, -0.052237965166568756, -0.12268998473882675, -5.895486410167905e-8, -0.03290369734168053, -0.011344394646584988, 0.012529036961495876, -0.048329442739486694, 0.04729854688048363, 0.02118046209216118, 0.04176609218120575, -0.07433176040649414, -0.017968688160181046, -0.0814899131655693, 0.023969657719135284, 0.08922023326158524, 0.017942853271961212, -0.04844840243458748, -0.03987753018736839, -0.09894203394651413, -0.06387227028608322, -0.04526236280798912, -0.008557355031371117, 0.015166577883064747, 0.0293338093906641, -0.001800843863748014, -0.053820230066776276, 0.05206627771258354, 0.016034839674830437, -0.05176159366965294, 0.03305036574602127, -0.0520721971988678, 0.02231167070567608, 0.006727076135575771, -0.0031175902113318443, 0.017354842275381088, 0.05415121465921402, 0.12638920545578003, 0.011676464229822159, -0.04572444036602974, 0.013437914662063122, -0.01599155366420746, -0.06471585482358932, -0.021108612418174744, 0.016316529363393784, 0.03944248706102371, -0.02966240793466568, -0.02989499643445015, 0.02156158536672592, 0.009264056570827961, 0.008009213954210281, -0.029551781713962555, 0.10108745843172073, -0.02531234361231327, 0.03702785447239876, 0.06848113983869553, 0.008300448767840862, 0.07090654224157333, 0.03518451750278473, -0.009926377795636654, 0.051172904670238495, -0.07902155816555023, 0.012782967649400234, 0.07413183897733688, -0.08686167001724243, 0.06099987402558327, -0.09930484741926193, -0.05641647428274155 ]
null
null
null
null
null
null
null
[ 0.08454849570989609, 0.005662144161760807, 0.0036847603041678667, 0.017799383029341698, -0.06275490671396255, -0.024613648653030396, 0.054981060326099396, 0.006448738742619753, 0.008350778371095657, 0.05534945800900459, 0.016559315845370293, -0.022335026413202286, 0.12458129972219467, -0.08514627814292908, -0.09325628727674484, 0.029505601152777672, 0.05711567774415016, -0.02761729247868061, 0.01433113869279623, -0.009189071133732796, -0.004742169287055731, 0.010075670666992664, -0.02299199253320694, -0.0336807519197464, -0.037524256855249405, -0.013473468832671642, 0.005797651130706072, 0.0013271782081574202, -0.04916461557149887, -0.035689759999513626, 0.01564599759876728, 0.011470410972833633, -0.009717506356537342, -0.05824672803282738, 0.015840360894799232, 0.09741626679897308, -0.033763546496629715, -0.002113704802468419, -0.012351909652352333, 0.07685015350580215, 0.006897600833326578, 0.032513298094272614, 0.03859085217118263, 0.00785357691347599, -0.028112046420574188, 0.013176824897527695, 0.008176038041710854, 0.08939521759748459, -0.04192857816815376, -0.04840002581477165, -0.05031518265604973, -0.014456197619438171, 0.022546548396348953, -0.029242774471640587, 0.04449987784028053, -0.04069223254919052, 0.019369719550013542, -0.06702852994203568, -0.022857310250401497, 0.05419505015015602, 0.044229988008737564, -0.06528599560260773, 0.06296694278717041, -0.024800263345241547, 0.038746580481529236, 0.06936865299940109, 0.06137513369321823, -0.0025853575207293034, -0.024345701560378075, -0.03567647561430931, -0.011936509981751442, 0.009401710703969002, 0.019492078572511673, 0.028021525591611862, 0.034449487924575806, -0.06545407325029373, 0.0445961132645607, 0.009328814223408699, -0.01279798336327076, -0.005779442377388477, -0.020310794934630394, -0.017362749204039574, 0.0005761382635682821, 0.012470601126551628, 0.035130973905324936, -0.04130476713180542, -0.025249352678656578, -0.05608905479311943, 0.15817007422447205, -0.04955461248755455, -0.048632409423589706, -0.03761427104473114, -0.07660707086324692, 0.03649953007698059, 0.014287015423178673, -0.00027328936266712844, 0.035731010138988495, 0.032816559076309204, 0.015385192818939686, 0.04558134824037552, 0.038947105407714844, -0.009986075572669506, -0.00806671567261219, -0.08936140686273575, 0.01642061397433281, -0.011952945031225681, 0.06539221107959747, -0.017990760505199432, -0.0739462748169899, -0.04608883336186409, 0.009970922023057938, 0.004231431055814028, -0.04565824195742607, 0.04186353459954262, -0.05988543480634689, 0.004864555783569813, 0.060181740671396255, 0.017659923061728477, -0.06660693138837814, 0.00646548205986619, -0.06357251852750778, -0.06683472543954849, 0.059112418442964554, -0.01745627261698246, -0.008032972924411297, 0.08535443991422653, -0.0224324781447649, 1.563142816693715e-33, -0.024993425235152245, 0.009497269056737423, -0.04467909410595894, -0.0032209367491304874, 0.08457291126251221, 0.0398423969745636, 0.062221720814704895, 0.05368009954690933, -0.08877282589673996, 0.040711283683776855, 0.038438357412815094, -0.033833831548690796, -0.0722881630063057, -0.07835960388183594, 0.035525232553482056, -0.055104438215494156, 0.0077907308004796505, 0.036128442734479904, -0.014776279218494892, -0.07654845714569092, 0.032576028257608414, -0.0015578701859340072, -0.03210793808102608, -0.09000954777002335, 0.06390650570392609, -0.016795950010418892, -0.055991031229496, -0.01566072180867195, 0.06057405099272728, -0.008037148043513298, -0.012929757125675678, -0.013404512777924538, 0.0022858139127492905, 0.010683201253414154, 0.037463217973709106, 0.04833458736538887, -0.05891430377960205, 0.021679462864995003, -0.07125844806432724, 0.04951181635260582, 0.0310787595808506, -0.02921976149082184, -0.04528355598449707, -0.07921789586544037, -0.010851027444005013, -0.056408777832984924, -0.04317041486501694, 0.05031869560480118, 0.005244036670774221, -0.06338584423065186, 0.01584628038108349, 0.0028165634721517563, -0.05202288553118706, -0.006985665298998356, 0.05484313517808914, -0.0613861083984375, 0.012098989449441433, -0.053746532648801804, -0.03973327949643135, 0.19273917376995087, -0.11186143755912781, -0.06151894852519035, 0.05941009521484375, -0.03344360738992691, 0.09470412880182266, 0.0685248151421547, 0.029667582362890244, -0.061981942504644394, 0.1031024232506752, -0.07893165946006775, 0.03344662860035896, -0.04720330983400345, 0.039937831461429596, 0.006514118984341621, 0.05842527747154236, -0.009210878051817417, 0.008885207585990429, -0.0011917119845747948, -0.01774424873292446, -0.00756436213850975, 0.00493958592414856, 0.03605687618255615, -0.12164071947336197, 0.0599278025329113, 0.02244821935892105, -0.029383786022663116, -0.03294749557971954, 0.08507003635168076, -0.09916118532419205, 0.016249455511569977, -0.06809449940919876, 0.07669974118471146, -0.010698751546442509, 0.019300762563943863, -0.025836138054728508, -2.9093147228225754e-33, -0.10193061083555222, -0.04918348789215088, 0.024031825363636017, 0.07265406101942062, -0.0056353905238211155, -0.052496764808893204, -0.04696543142199516, -0.06205234304070473, 0.018029097467660904, 0.06474006921052933, -0.07237929850816727, -0.029855821281671524, -0.028112510219216347, 0.00003481009116512723, -0.008789898827672005, 0.08620727062225342, 0.08627060800790787, 0.007653255481272936, 0.08947411179542542, -0.009409405291080475, -0.023753050714731216, 0.15009596943855286, -0.04725191742181778, 0.02889455482363701, 0.058035194873809814, 0.04939405992627144, -0.021809924393892288, 0.08162322640419006, -0.006412630435079336, 0.039245158433914185, -0.06875456869602203, -0.09193854033946991, -0.03583957999944687, 0.023990854620933533, -0.03761781007051468, 0.018211502581834793, 0.007916734553873539, 0.08185738325119019, 0.032523274421691895, 0.09061136096715927, -0.02810044027864933, -0.0020216316916048527, -0.11755368858575821, -0.02472366951406002, 0.048068393021821976, -0.004459451884031296, -0.018544036895036697, 0.030889905989170074, 0.04408511519432068, 0.09914035350084305, 0.019020238891243935, -0.0239220280200243, -0.007130376063287258, -0.009735805913805962, -0.06769779324531555, 0.02566145360469818, -0.09702152758836746, 0.08776049315929413, 0.06624854356050491, 0.04766048491001129, -0.04967527464032173, -0.06823641061782837, 0.06914782524108887, 0.0468042753636837, 0.0145846176892519, 0.06529149413108826, 0.04494709149003029, -0.025425225496292114, 0.04693920910358429, 0.0350586473941803, 0.00020676634449046105, 0.08235576748847961, -0.014769543893635273, 0.023053985089063644, 0.08284775912761688, 0.024167051538825035, 0.03048316389322281, 0.06031513959169388, -0.030811723321676254, -0.053018394857645035, -0.03606913611292839, 0.045306622982025146, 0.009606040082871914, 0.007806781679391861, -0.03694450855255127, 0.04272685572504997, 0.1090770959854126, -0.05583929270505905, 0.08093548566102982, -0.09899092465639114, 0.03304651752114296, 0.06561014801263809, -0.009867805056273937, -0.052237965166568756, -0.12268998473882675, -5.895486410167905e-8, -0.03290369734168053, -0.011344394646584988, 0.012529036961495876, -0.048329442739486694, 0.04729854688048363, 0.02118046209216118, 0.04176609218120575, -0.07433176040649414, -0.017968688160181046, -0.0814899131655693, 0.023969657719135284, 0.08922023326158524, 0.017942853271961212, -0.04844840243458748, -0.03987753018736839, -0.09894203394651413, -0.06387227028608322, -0.04526236280798912, -0.008557355031371117, 0.015166577883064747, 0.0293338093906641, -0.001800843863748014, -0.053820230066776276, 0.05206627771258354, 0.016034839674830437, -0.05176159366965294, 0.03305036574602127, -0.0520721971988678, 0.02231167070567608, 0.006727076135575771, -0.0031175902113318443, 0.017354842275381088, 0.05415121465921402, 0.12638920545578003, 0.011676464229822159, -0.04572444036602974, 0.013437914662063122, -0.01599155366420746, -0.06471585482358932, -0.021108612418174744, 0.016316529363393784, 0.03944248706102371, -0.02966240793466568, -0.02989499643445015, 0.02156158536672592, 0.009264056570827961, 0.008009213954210281, -0.029551781713962555, 0.10108745843172073, -0.02531234361231327, 0.03702785447239876, 0.06848113983869553, 0.008300448767840862, 0.07090654224157333, 0.03518451750278473, -0.009926377795636654, 0.051172904670238495, -0.07902155816555023, 0.012782967649400234, 0.07413183897733688, -0.08686167001724243, 0.06099987402558327, -0.09930484741926193, -0.05641647428274155 ]