hyperbolic-resistor-networks / coherence_depth.csv
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Release v1.0: data/code for the hyperbolic conditioning preprint
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family,param,N,E,edge_depth,n_edges,n_pairs,median_abs_cos,mean_abs_cos,p90_abs_cos,participation_ratio,eff_dim_fraction
"{7,3}",L=1,35,42,0,35,595,0.0,0.002883129277864433,0.0,34.591248475022994,0.9883213850006569
"{7,3}",L=1,35,42,1,7,21,0.05417773841157364,0.14988682216317284,0.3813108945969884,5.396786661743618,0.7709695231062311
"{7,3}",L=2,112,140,0,98,4753,0.0,0.001258709163256476,0.0,95.1581563356874,0.9710015952621163
"{7,3}",L=2,112,140,1,28,378,0.0011482790505237613,0.05709687050914737,0.2231322559848102,16.221813829749134,0.5793504939196119
"{7,3}",L=2,112,140,2,7,21,0.013440512237708525,0.019443592500302195,0.039435843248508025,6.975368803384235,0.9964812576263193
"{7,3}",L=2,112,140,3,7,21,0.04856057938897014,0.0896064454493602,0.17741356788129453,6.533880612632611,0.933411516090373
"{7,3}",L=3,315,399,0,259,33411,0.0,0.0005081235125996813,0.0,248.7402666385013,0.9603871298783835
"{7,3}",L=3,315,399,1,77,2926,3.354317504882423e-05,0.021292168303463033,0.006767623459968385,42.63016481137647,0.5536385040438502
"{7,3}",L=3,315,399,2,21,210,0.0007007944559927707,0.013086509679196666,0.03887491324952814,20.631261322308454,0.9824410153480216
"{7,3}",L=3,315,399,3,28,378,0.002306435753567005,0.035452122206608906,0.11865716449492827,22.95267517612324,0.8197383991472585
"{7,3}",L=3,315,399,4,7,21,0.018920145986565873,0.03505599452592251,0.08059266068129206,6.904917492156376,0.986416784593768
"{7,3}",L=3,315,399,5,7,21,0.0723914594350291,0.13411820282168116,0.26193952166434875,6.050338293001243,0.8643340418573204
"{7,3}",L=4,847,1078,0,679,230181,0.0,0.0001952842059033811,0.0,651.0465805001992,0.9588314882182609
"{7,3}",L=4,847,1078,1,203,20503,8.01496221211621e-07,0.008067295255974159,0.00014407605599751712,111.62221041924073,0.5498631055135011
"{7,3}",L=4,847,1078,2,56,1540,2.1420928666830442e-05,0.004909257996794643,0.0032856176019776316,54.88655528637864,0.9801170586853328
"{7,3}",L=4,847,1078,3,77,2926,2.3063518698639876e-05,0.01315780600949824,0.02059025471429646,61.39389221948947,0.7973232755777854
"{7,3}",L=4,847,1078,4,21,210,0.00026562519197425585,0.017008100324872044,0.04246608611410943,20.22048119653844,0.9628800569780209
"{7,3}",L=4,847,1078,5,28,378,0.0037989582717202616,0.039830487031303055,0.1535824941152745,22.126297708037445,0.7902249181441945
"{7,3}",L=4,847,1078,6,7,21,0.03353872153176612,0.04406085340666433,0.09530428365724784,6.859800697351581,0.979971528193083
"{7,3}",L=4,847,1078,7,7,21,0.11117282310182557,0.16462878186097216,0.29873526548179824,5.7503887381846175,0.8214841054549453
"{8,3}",L=1,48,56,0,48,1128,0.0,0.0017916465245266197,0.0,47.46346778933511,0.9888222456111482
"{8,3}",L=1,48,56,1,8,28,0.03224399704361669,0.12965828566358575,0.37793660851274347,6.200134610730511,0.7750168263413139
"{8,3}",L=2,200,240,0,184,16836,0.0,0.0005437314198780531,0.0,179.9151625103445,0.9777997962518722
"{8,3}",L=2,200,240,1,40,780,0.00040617985648191507,0.035075718939100886,0.031301205659948206,24.500813012845047,0.6125203253211262
"{8,3}",L=2,200,240,2,8,28,0.018961303093506014,0.027291481441464528,0.06971644684154106,7.916854945412685,0.9896068681765856
"{8,3}",L=2,200,240,3,8,28,0.06761986646474047,0.059461805413427396,0.09561057859007481,7.750929112830663,0.9688661391038329
"{8,3}",L=3,768,928,0,688,236328,0.0,0.00014656824056800776,0.0,671.8845283671537,0.976576349370863
"{8,3}",L=3,768,928,1,152,11476,1.9025684195888087e-06,0.009284571453493491,0.0003970898215130472,91.0766013921949,0.5991881670539139
"{8,3}",L=3,768,928,2,32,496,6.700169280276635e-05,0.007567250747978203,0.01524984453993071,31.346805757412657,0.9795876799191455
"{8,3}",L=3,768,928,3,40,780,0.00018815335185709927,0.01746304248458077,0.07687088059927012,34.13443405100197,0.8533608512750492
"{8,3}",L=3,768,928,4,8,28,0.03461150597471181,0.02372178809988238,0.04496669367181308,7.948656142852865,0.9935820178566082
"{8,3}",L=3,768,928,5,8,28,0.035456882394693696,0.07304548603830528,0.13655997797012706,7.610454162723112,0.951306770340389
"{8,3}",L=4,2888,3496,0,2568,3296028,0.0,3.925851973541809e-05,0.0,2507.6185786924316,0.9764869854721306
"{8,3}",L=4,2888,3496,1,568,161028,9.382915374337759e-09,0.002477111545291422,3.3048870202077164e-06,339.75105380557653,0.5981532637422122
"{8,3}",L=4,2888,3496,2,120,7140,3.9430955150549836e-07,0.002020859186884959,0.0001358314569719274,117.38128603231192,0.9781773836025993
"{8,3}",L=4,2888,3496,3,152,11476,9.56301819788672e-07,0.004698058276886111,0.0004154735393479887,127.6601999345355,0.8398697364114177
"{8,3}",L=4,2888,3496,4,32,496,1.9409091122008403e-05,0.006973610291912406,0.0257220763697256,31.62722628659315,0.9883508214560359
"{8,3}",L=4,2888,3496,5,40,780,0.0002528933418283529,0.018041116289206467,0.04150303555049666,34.83196677574134,0.8707991693935335
"{8,3}",L=4,2888,3496,6,8,28,0.027446180705544016,0.02470068859601035,0.05255376645145985,7.943570150995581,0.9929462688744476
"{8,3}",L=4,2888,3496,7,8,28,0.06529440630204994,0.0892441018213332,0.15057036650617958,7.48847453249013,0.9360593165612663
"{5,4}",L=1,20,25,0,25,300,0.0,0.0,0.0,25.0,1.0
"{5,4}",L=2,60,80,0,75,2775,0.0,0.0012628673282342536,0.0,72.24637735216105,0.9632850313621473
"{5,4}",L=2,60,80,1,5,10,0.08036707452725252,0.0803670745272525,0.08898776418242492,4.872663978927352,0.9745327957854704
"{5,4}",L=3,165,225,0,200,19900,0.0,0.0006312950674789165,0.0,188.43708913143502,0.9421854456571751
"{5,4}",L=3,165,225,1,20,190,0.0024768732228281428,0.023030743125329947,0.09080069157738178,18.397480296645135,0.9198740148322567
"{5,4}",L=3,165,225,2,5,10,0.09060106026560176,0.09060106026560179,0.1392744338903029,4.7970345990004555,0.9594069198000911
"{5,4}",L=4,440,605,0,525,137550,0.0,0.0002489453508322406,0.0,492.70983053670756,0.9384949153080144
"{5,4}",L=4,440,605,1,55,1485,4.707672928506534e-05,0.008810209325009255,0.005835384394588741,49.31153840075668,0.8965734254683033
"{5,4}",L=4,440,605,2,20,190,0.001931043283267366,0.023585441857152407,0.047010313214977534,18.89311864811822,0.9446559324059111
"{5,4}",L=4,440,605,3,5,10,0.09703138027310812,0.0970313802731082,0.17539648263152408,4.707101937130144,0.9414203874260287
"{5,4}",L=5,1160,1600,0,1375,944625,0.0,9.545300301985263e-05,0.0,1289.6601306902114,0.937934640501972
"{5,4}",L=5,1160,1600,1,145,10440,9.153945710373235e-07,0.003360266408102921,0.00019079177073816792,129.36040509129379,0.8921407247675434
"{5,4}",L=5,1160,1600,2,55,1485,3.671327674090109e-05,0.008866979263152296,0.016905302435426352,51.277429121086605,0.9323168931106656
"{5,4}",L=5,1160,1600,3,20,190,0.002443867710153422,0.0282848753307888,0.05908904334230585,18.601540710414163,0.9300770355207082
"{5,4}",L=5,1160,1600,4,5,10,0.09931500920067872,0.09931500920067887,0.19163190648793405,4.657473028429627,0.9314946056859255
"{6,4}",L=1,30,36,0,36,630,0.0,0.0,0.0,36.0,1.0
"{6,4}",L=2,120,150,0,144,10296,0.0,0.0004084600979248719,0.0,140.47353460135932,0.9755106569538842
"{6,4}",L=2,120,150,1,6,15,0.035958037207692764,0.061576616701806544,0.10246534609050069,5.85624380743179,0.976040634571965
"{6,4}",L=3,456,576,0,540,145530,0.0,0.00012280130620066068,0.0,521.6733600550403,0.9660617778797044
"{6,4}",L=3,456,576,1,30,435,0.00017056559459752035,0.013810613809896902,0.03421258000244866,28.191985110218027,0.9397328370072676
"{6,4}",L=3,456,576,2,6,15,0.057548985715317136,0.05160575602213964,0.059812480707716636,5.918702458156193,0.9864504096926988
"{6,4}",L=4,1710,2166,0,2016,2031120,0.0,3.313449329944033e-05,0.0,1945.9187082036528,0.9652374544660977
"{6,4}",L=4,1710,2166,1,114,6441,9.740050007756503e-07,0.0036641150336629924,0.0005230044598167737,105.91808751896647,0.9291060308681269
"{6,4}",L=4,1710,2166,2,30,435,0.0002795997744533781,0.012757094129830516,0.04045420330300157,28.803516929984998,0.9601172309995
"{6,4}",L=4,1710,2166,3,6,15,0.06936483362002414,0.047118832636803706,0.07146479261217852,5.909598785122178,0.9849331308536963
"{4,5}",L=1,12,16,0,16,120,0.0,0.0,0.0,16.0,1.0
"{4,5}",L=2,32,48,0,44,946,0.0,0.00418850433666468,0.003397012716814624,43.27952689022278,0.9836256111414269
"{4,5}",L=2,32,48,1,4,6,0.036576550527685436,0.06255120235169391,0.11450050599971089,3.9378370911493303,0.9844592727873326
"{4,5}",L=3,80,124,0,108,5778,0.0,0.0019953754038385834,7.645606914505698e-05,104.82450045867476,0.9705972264692108
"{4,5}",L=3,80,124,1,16,120,0.010095778087986881,0.048547416967035316,0.15261751486697647,14.634883013738358,0.9146801883586474
"{4,5}",L=4,188,296,0,248,30628,0.0,0.0009252356117524293,2.6267963705974057e-06,237.81148561692706,0.9589172807134155
"{4,5}",L=4,188,296,1,44,946,0.0010653046223395276,0.0206323438813995,0.09201541635828511,39.149954905785634,0.889771702404219
"{4,5}",L=4,188,296,2,4,6,0.02637600566554457,0.10565627415602863,0.26421681113699685,3.734123287383641,0.9335308218459103
"{4,5}",L=5,436,692,0,568,161028,0.0,0.0003946779643345897,1.20645011563399e-07,545.6211283656492,0.9606005781085373
"{4,5}",L=5,436,692,1,104,5356,2.4183593104688208e-05,0.008669945357830444,0.01097630908242074,91.65305199174709,0.8812793460744912
"{4,5}",L=5,436,692,2,16,120,0.006665187684416293,0.035093755806527495,0.10593253096730874,14.663257140669284,0.9164535712918302
"{4,5}",L=5,436,692,3,4,6,0.03667145269577596,0.12242551709311399,0.29393364588779014,3.6728025823381043,0.9182006455845261
"{4,5}",L=6,1008,1604,0,1308,854778,0.0,0.00017132219477199582,3.992226811692755e-09,1256.8754881591753,0.9609139817730699
"{4,5}",L=6,1008,1604,1,240,28680,8.019929453610912e-07,0.003815684842441837,0.0003473678918461938,210.68177183551725,0.8778407159813219
"{4,5}",L=6,1008,1604,2,40,780,0.0002013066521663415,0.01624009484087765,0.04374182077476915,35.95659583848799,0.8989148959621998
"{4,5}",L=6,1008,1604,3,16,120,0.032710217066763206,0.06402068852840169,0.2743127454569334,13.312541858197712,0.832033866137357
square,R=3,29,44,0,32,496,0.0,0.021519759592301242,0.03058016275039574,26.178530568545547,0.8180790802670483
square,R=3,29,44,1,12,66,0.05771563242646254,0.09734362391377105,0.277998026100164,9.872588592817095,0.8227157160680912
square,R=6,113,200,0,80,3160,0.0,0.010616031039437224,0.002561710140574814,57.80744140770056,0.7225930175962569
square,R=6,113,200,1,44,946,0.0030203159009356204,0.030804767227753257,0.12465167367133675,35.08368578263826,0.7973564950599605
square,R=6,113,200,2,36,630,0.009246659966876413,0.05866273848065994,0.18832583359514074,23.47892904240371,0.652192473400103
square,R=6,113,200,3,28,378,0.06903447963303637,0.1510989714876655,0.37818082932780406,10.120991615242554,0.36146398625866266
square,R=6,113,200,4,12,66,0.03928480640398019,0.3438369910356122,0.8434107494073377,3.2425863864606153,0.2702155322050513
square,R=10,317,592,0,144,10296,0.0,0.006518128609866783,0.00032669935284071374,101.6912154641013,0.7061889962784813
square,R=10,317,592,1,92,4186,0.000360980882306607,0.01648214911324323,0.024728458377793347,69.30933780477257,0.7533623674431801
square,R=10,317,592,2,84,3486,0.0012645918267393153,0.03263115319298978,0.10785302616501972,48.6071618799096,0.5786566890465428
square,R=10,317,592,3,76,2850,0.0047694753320148536,0.06017354063890743,0.2048300487591202,29.30663528742744,0.3856136222029926
square,R=10,317,592,4,60,1770,0.01136471623318207,0.08766495438149798,0.22412074083648326,19.09893438386492,0.3183155730644153
square,R=10,317,592,5,52,1326,0.057504209593309916,0.134237149462608,0.38525418857110977,12.85558172443803,0.24722272546996213
square,R=10,317,592,6,44,946,0.08159012381669174,0.20866516557118653,0.7004763388827817,7.576075489380648,0.1721835338495602
square,R=10,317,592,7,28,378,0.023334441588116386,0.3237550364265615,0.801059546960675,3.9321294633395145,0.14043319511926838
square,R=10,317,592,8,12,66,0.019464779826461782,0.4196882858880929,0.9508510770210319,2.361868551374605,0.19682237928121707
triangular,R=3.225,37,87,0,53,1378,0.0006824197961177159,0.0343993727063953,0.057176399631890036,28.547269008738454,0.5386277171460085
triangular,R=3.225,37,87,1,27,351,0.03544958240072653,0.09382380714767674,0.3038428238023749,16.83080612593459,0.6233631898494293
triangular,R=3.225,37,87,2,7,21,0.18861123417461567,0.22747233130927003,0.5186923761822875,4.655768040764688,0.6651097201092411
triangular,R=6.45,151,401,0,133,8778,2.294968171707603e-05,0.015032783925254695,0.0056645117716564355,68.91605636720094,0.5181658373473754
triangular,R=6.45,151,401,1,99,4851,0.001968580723258453,0.039294679589974194,0.12211248358139289,45.22489850665611,0.45681715663289
triangular,R=6.45,151,401,2,79,3081,0.009586435539953796,0.07815265298801682,0.2922697563242745,23.772976486286826,0.30092375299097246
triangular,R=6.45,151,401,3,54,1431,0.07198234538317949,0.15732210620877035,0.42268294441088267,12.520002347129138,0.23185189531720626
triangular,R=6.45,151,401,4,29,406,0.2229961500526383,0.28550548003476256,0.6757991113554693,5.767892432424333,0.19889284249739078
triangular,R=6.45,151,401,5,7,21,0.22188522622917986,0.367142689873907,0.8831812901099539,3.0304159449074604,0.4329165635582086