Datasets:
Tasks:
Other
Modalities:
Image
Formats:
imagefolder
Languages:
English
Size:
< 1K
Tags:
transformers
massive-activations
training-dynamics
pythia
neural-network-analysis
interpretability
License:
[ | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
1572236.3025023018, | |
0.08686911531880213, | |
8.232631998747139e-08, | |
6.264032176420715, | |
-1674134.3114001383 | |
], | |
"pcov": [ | |
[ | |
9.892402719769463e-19, | |
1.712187683671732e-18, | |
-2.352477039436891e-18, | |
2.089966325058352e-13, | |
9.294281461806641e-19 | |
], | |
[ | |
1.712187683671732e-18, | |
4.879952542435703e-18, | |
-4.033188285837779e-18, | |
3.6173365649420903e-13, | |
1.6086642142518944e-18 | |
], | |
[ | |
-2.352477039436891e-18, | |
-4.033188285837779e-18, | |
9.238312186041515e-18, | |
-4.970074433897125e-13, | |
-2.210239954470725e-18 | |
], | |
[ | |
2.0899663250583518e-13, | |
3.61733656494209e-13, | |
-4.970074433897124e-13, | |
4.4154684798151774e-08, | |
1.9636013434805527e-13 | |
], | |
[ | |
9.294281461806641e-19, | |
1.6086642142518944e-18, | |
-2.210239954470725e-18, | |
1.9636013434805527e-13, | |
8.732324222774435e-19 | |
] | |
], | |
"r2": 0.8568433837595042, | |
"aic": -204.8678867522524, | |
"residuals": [ | |
0.3838000015821308, | |
0.24712672387249768, | |
0.06400539958849549, | |
-0.09793942864052951, | |
-0.1619364453945309, | |
-0.1389913021121174, | |
-0.13085044920444489, | |
-0.09958966565318406, | |
-0.10165956849232316, | |
-0.06993198650889099, | |
-0.05279052327387035, | |
-0.05781505210325122, | |
-0.010006430093199015, | |
-0.05021789367310703, | |
-0.03078866098076105, | |
0.0010148333385586739, | |
0.0166739618871361, | |
0.015760336304083467, | |
0.011344231432303786, | |
0.018287637270987034, | |
0.06163480645045638, | |
0.03981708944775164, | |
0.045198488514870405, | |
0.016527294646948576, | |
0.038273351499810815, | |
0.04977992223575711, | |
0.02234658575616777, | |
0.0015568777453154325, | |
0.018904868979007006, | |
-0.03240684769116342, | |
-0.0034568526316434145, | |
-0.05662912968546152, | |
-0.05209721275605261, | |
-0.05152146122418344, | |
0.024748933967202902, | |
0.021604020847007632, | |
0.02684923866763711, | |
-0.002861922839656472, | |
0.1390384875703603, | |
0.06601516273804009, | |
-0.014298538211733103, | |
-0.0634104257915169, | |
-0.0785455561708659, | |
-0.006389965070411563, | |
0.03376962407492101 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
1292.489785128474, | |
0.0893314412413309, | |
2.8007886494197643e-06, | |
5.941878888664743, | |
-1353.8202448937654 | |
], | |
"pcov": null, | |
"r2": 0.8548143835825255, | |
"aic": -204.234566310817, | |
"residuals": [ | |
0.3868482823979775, | |
0.24972967660983159, | |
0.06618259747756383, | |
-0.0965563094623576, | |
-0.1612729769813086, | |
-0.13897562353668036, | |
-0.13141326012942045, | |
-0.10066422039176359, | |
-0.103181666139335, | |
-0.07183996505409596, | |
-0.055025252579753214, | |
-0.06031992644011552, | |
-0.012727360468943516, | |
-0.053103301120927426, | |
-0.033789469636985814, | |
-0.0020547957069538825, | |
0.013579604631786424, | |
0.012682860990480549, | |
0.008322773934423822, | |
0.015358866679434868, | |
0.05883293090960251, | |
0.03717386360040109, | |
0.04274322115315954, | |
0.014286853778003206, | |
0.03627217334656052, | |
0.04804001741672437, | |
0.02088754544342919, | |
0.0003958811946631613, | |
0.018056690103776418, | |
-0.03292983376945813, | |
-0.0036446623569190706, | |
-0.056474164564860985, | |
-0.05159425241390636, | |
-0.05066765717947419, | |
0.025954065199130127, | |
0.023158604165473662, | |
0.02874904770237663, | |
0.0006187633664467285, | |
0.1436453846056338, | |
0.07100693873394448, | |
-0.009945915659045568, | |
-0.06099979291366253, | |
-0.07965472221189884, | |
-0.012867946877349823, | |
0.025280351732590134 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
6459.961554424206, | |
242315.29503051573, | |
3.618382920581496e-09, | |
5138982.81889449, | |
-342136.17726343207 | |
], | |
"pcov": [ | |
[ | |
2.3368588650853574e-06, | |
1.5123010708782845e-07, | |
1.3815102452887996e-15, | |
1.9008418487343835e-10, | |
1.512293500217287e-07 | |
], | |
[ | |
1.5123010708782845e-07, | |
9.786874865017008e-09, | |
8.940460438560801e-17, | |
1.2301321258039542e-11, | |
9.78682587139183e-09 | |
], | |
[ | |
1.3815102452887996e-15, | |
8.940460438560801e-17, | |
1.3025648477952627e-24, | |
1.1237445820692872e-19, | |
8.940415682132043e-17 | |
], | |
[ | |
1.9008418487343838e-10, | |
1.2301321258039542e-11, | |
1.1237445820692872e-19, | |
1.5461779861352353e-14, | |
1.2301259676959652e-11 | |
], | |
[ | |
1.512293500217287e-07, | |
9.78682587139183e-09, | |
8.940415682132043e-17, | |
1.2301259676959652e-11, | |
9.786776878011913e-09 | |
] | |
], | |
"r2": 0.8562892707753564, | |
"aic": -204.69404252987934, | |
"residuals": [ | |
0.38498474878724664, | |
0.24817828217055649, | |
0.06492940912721679, | |
-0.09725395130226389, | |
-0.16146800731075928, | |
-0.13871912012109533, | |
-0.13075444992864504, | |
-0.09965048608137295, | |
-0.10185855254530907, | |
-0.07025118544697762, | |
-0.053212694881949574, | |
-0.05832365981768817, | |
-0.010585641546640545, | |
-0.050852580287028104, | |
-0.03146439715055749, | |
0.00031177193159237504, | |
0.015956598334014416, | |
0.015040993341244757, | |
0.010634532547555864, | |
0.01759850833332166, | |
0.060976475244387984, | |
0.03919908730313182, | |
0.044629651587456465, | |
0.016015763161703944, | |
0.03782657260308042, | |
0.049404650228098035, | |
0.022048882325179875, | |
0.0013421132462099195, | |
0.018777723656967282, | |
-0.032442383584566414, | |
-0.003397477325052023, | |
-0.05647222918923944, | |
-0.051840859814547, | |
-0.05116441490827128, | |
0.025207229366060346, | |
0.02216343639884144, | |
0.02750896249199286, | |
-0.0017367030959576368, | |
0.14050686603877693, | |
0.0676198850851506, | |
-0.012848236132413149, | |
-0.06248873379081488, | |
-0.07860956923104823, | |
-0.007979167683515698, | |
0.03160541143734008 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
0.6191750070654976, | |
2079.0627114459908, | |
3.815337911873249e-09, | |
9999.999999999998, | |
-2084.0657144437214 | |
], | |
"pcov": [ | |
[ | |
0.13348812013507366, | |
0.17256153291015988, | |
6.355104849045981e-10, | |
3626.8861584737524, | |
-1.6059574376929728 | |
], | |
[ | |
0.17256153291015988, | |
0.537305862182561, | |
6.42588317187373e-10, | |
6054.342167440503, | |
-2.431566596153875 | |
], | |
[ | |
6.355104849045983e-10, | |
6.425883171873731e-10, | |
3.2187391253190773e-18, | |
1.6469349658666002e-05, | |
-7.4334994084267055e-09 | |
], | |
[ | |
3626.886158473753, | |
6054.342167440503, | |
1.6469349658666e-05, | |
104486090.30936803, | |
-45182.58277948898 | |
], | |
[ | |
-1.605957437692973, | |
-2.4315665961538753, | |
-7.4334994084267055e-09, | |
-45182.58277948898, | |
19.72465147425265 | |
] | |
], | |
"r2": 0.6464086977327512, | |
"aic": -164.1787749997137, | |
"residuals": [ | |
0.49143575029575004, | |
0.32251330492181296, | |
0.11203811469158609, | |
-0.09303963396587278, | |
-0.18837543673407708, | |
-0.18799103251649285, | |
-0.19569222143036313, | |
-0.17502361974493397, | |
-0.18352036326041343, | |
-0.1548778636906718, | |
-0.13811989576834094, | |
-0.14133380577413845, | |
-0.0899295387357597, | |
-0.12509492750177742, | |
-0.09944634786324968, | |
-0.06048238841322018, | |
-0.036918071015406895, | |
-0.029349404023378156, | |
-0.024850315714502358, | |
-0.00868376918060676, | |
0.044085504324357316, | |
0.03179323287531588, | |
0.04671906075827792, | |
0.02753648161797173, | |
0.058648714622449916, | |
0.07933942111958459, | |
0.060854648076656304, | |
0.04872967400842754, | |
0.07441491634244812, | |
0.031073351523446036, | |
0.0675903381848002, | |
0.02154897387845267, | |
0.03274559474130001, | |
0.03949219370497303, | |
0.12141415020641944, | |
0.12337806977029686, | |
0.13316773588667274, | |
0.11705955022534908, | |
0.2559745605817625, | |
0.16191706520567095, | |
0.04144437991362793, | |
-0.06776638671863111, | |
-0.1635719408463956, | |
-0.19315725651949833, | |
-0.18769068760184382 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
6.049498742103536, | |
6570.952265095216, | |
5.261958776853005e-09, | |
100993.19836511897, | |
-6639.89298133725 | |
], | |
"pcov": null, | |
"r2": 0.8196321199789226, | |
"aic": -194.47021853567992, | |
"residuals": [ | |
0.4247463318697555, | |
0.28222092173382407, | |
0.09358597642585664, | |
-0.07841519229259575, | |
-0.15124524915427173, | |
-0.1359911679974175, | |
-0.134476282556534, | |
-0.10884913370682625, | |
-0.11562926436090493, | |
-0.08775386153229192, | |
-0.07366856021053536, | |
-0.08101215968417819, | |
-0.03484154099078296, | |
-0.07606325061533425, | |
-0.05706727499909903, | |
-0.025168433061480755, | |
-0.008931500736252929, | |
-0.008828914516925579, | |
-0.011832471551315393, | |
-0.003120394138022675, | |
0.04231310832892632, | |
0.022862576112856914, | |
0.030856760260576266, | |
0.005010170424611715, | |
0.029760262093077472, | |
0.04441922544629051, | |
0.020256811402759922, | |
0.002827908489962283, | |
0.023599058917170623, | |
-0.024253611819403886, | |
0.00816585672328074, | |
-0.04155102141521638, | |
-0.03360137198615121, | |
-0.029668281044905598, | |
0.04987715794413816, | |
0.04990387494399329, | |
0.05819693959711003, | |
0.04120342852183967, | |
0.1900457176461714, | |
0.11630666916244081, | |
0.026013332379079657, | |
-0.043723963809497945, | |
-0.09132744634462142, | |
-0.06452696019096038, | |
-0.040626664162118686 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
1.3878063991418192, | |
0.00045506636325993587, | |
1.9999999999999998 | |
], | |
"pcov": [ | |
[ | |
0.003395733320475567, | |
7.137825339061218e-06, | |
0.0455029730817244 | |
], | |
[ | |
7.137825339061219e-06, | |
4.634896305157108e-07, | |
0.0020704503497812566 | |
], | |
[ | |
0.04550297308172439, | |
0.0020704503497812566, | |
9.46532994559779 | |
] | |
], | |
"r2": -0.42482628755992224, | |
"aic": -105.46391979450074, | |
"residuals": [ | |
1.1912453174591062, | |
0.9894517708083707, | |
0.6890141938439318, | |
0.3134033191171895, | |
0.08627786776927493, | |
-0.011996622678190683, | |
-0.09236241326682493, | |
-0.12418252937073304, | |
-0.169620513655091, | |
-0.16602486379244707, | |
-0.16528704459253918, | |
-0.17773563923358005, | |
-0.13052535084937067, | |
-0.1661971333779626, | |
-0.13841266867028712, | |
-0.09547464474206557, | |
-0.06671367222155666, | |
-0.05319438677511257, | |
-0.04234505488486673, | |
-0.01969432292637663, | |
0.03949597706904773, | |
0.03341736617326285, | |
0.054245934524416395, | |
0.04058274046517063, | |
0.07678227457385711, | |
0.10209742511159359, | |
0.08775696857709248, | |
0.07928897631228349, | |
0.10814407272146687, | |
0.06749082139635032, | |
0.10622399251338788, | |
0.06193873491454882, | |
0.07444517862551159, | |
0.0820701781841846, | |
0.16445453890040973, | |
0.1664804848498398, | |
0.17594734027736614, | |
0.152971124985271, | |
0.2774722703463566, | |
0.16282148892275394, | |
0.016630518328788257, | |
-0.12260869976807864, | |
-0.25211515723411915, | |
-0.31856696350185465, | |
-0.3247143658115781 | |
] | |
} | |
}, | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
1181254.8780404273, | |
0.0868092797203917, | |
7.102770871571541e-08, | |
6.267885214351, | |
-1258284.8205449274 | |
], | |
"pcov": [ | |
[ | |
1.013122754994588e-17, | |
1.089121103480611e-17, | |
-1.7892037656989008e-17, | |
1.606528764925348e-12, | |
9.514417611930214e-18 | |
], | |
[ | |
1.089121103480611e-17, | |
1.946951057800826e-17, | |
-1.9607203209756887e-17, | |
1.727041013406974e-12, | |
1.0228131741936886e-17 | |
], | |
[ | |
-1.7892037656989008e-17, | |
-1.9607203209756887e-17, | |
5.040726532878013e-17, | |
-2.8371757615990874e-12, | |
-1.6802733662621327e-17 | |
], | |
[ | |
1.6065287649253478e-12, | |
1.727041013406974e-12, | |
-2.8371757615990874e-12, | |
2.547504396489828e-07, | |
1.5087199946624314e-12 | |
], | |
[ | |
9.514417611930214e-18, | |
1.0228131741936885e-17, | |
-1.6802733662621327e-17, | |
1.5087199946624316e-12, | |
8.935160329578367e-18 | |
] | |
], | |
"r2": 0.42724262742478747, | |
"aic": -167.61320769734604, | |
"residuals": [ | |
0.5581573585513979, | |
0.27817683503963053, | |
0.014275833033025265, | |
-0.09968477417714894, | |
-0.18118316866457462, | |
-0.2005547487642616, | |
-0.17603153665550053, | |
-0.1362458481453359, | |
-0.12086222460493445, | |
-0.08689609472639859, | |
-0.05660613137297332, | |
-0.04560294421389699, | |
0.03137263213284314, | |
0.002193436725065112, | |
0.02575612044893205, | |
0.02978441445156932, | |
0.058538429671898484, | |
0.05364921153523028, | |
0.057920609368011355, | |
0.051779020112007856, | |
0.04960522335022688, | |
0.054097129264846444, | |
0.0051984956953674555, | |
-0.02003573509864509, | |
0.033479348057881, | |
0.0027308491989970207, | |
-0.031548443250358105, | |
-0.03100249683484435, | |
-0.05748570803552866, | |
-0.0969346328638494, | |
-0.13564345543272793, | |
-0.12470719427801669, | |
-0.15986500913277268, | |
-0.1387383269611746, | |
-0.014438353246077895, | |
0.03489030431956053, | |
0.05563576123677194, | |
0.13434306043200195, | |
0.34223163267597556, | |
0.16832787450402975, | |
0.1081660573836416, | |
0.03134573553688824, | |
-0.09116129507310688, | |
-0.08728145575150847, | |
-0.09010999067686498 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
3748.2387171157507, | |
0.08673796304481464, | |
1.255991867240226e-06, | |
6.182204663396216, | |
-3992.9561059080893 | |
], | |
"pcov": null, | |
"r2": 0.4250994899517856, | |
"aic": -167.44514141235237, | |
"residuals": [ | |
0.5580203523209093, | |
0.27796604252262114, | |
0.013995330361922242, | |
-0.10009275798302042, | |
-0.18170320046510824, | |
-0.20117197591116565, | |
-0.17673168601959333, | |
-0.13701522700057467, | |
-0.12168771802953415, | |
-0.08776516579473537, | |
-0.057506820413891546, | |
-0.046523867612904724, | |
0.030442282438343682, | |
0.0012638935145332653, | |
0.024837042416493205, | |
0.02888488740700268, | |
0.057666966336455516, | |
0.052813752274232684, | |
0.05712852385113365, | |
0.051037107570664375, | |
0.048919712613042066, | |
0.053473680875413265, | |
0.004642200773105287, | |
-0.020520351571121864, | |
0.033070367040636484, | |
0.002400894550191879, | |
-0.03179654575751556, | |
-0.031166486545771477, | |
-0.05756388799818524, | |
-0.09692586957817184, | |
-0.13554717790339055, | |
-0.12452339353103525, | |
-0.15959423750382484, | |
-0.13838169714836113, | |
-0.013997537603245291, | |
0.03541307426576168, | |
0.056237695724121295, | |
0.13527947690681685, | |
0.34334943606654633, | |
0.16940496453253218, | |
0.10891176218910914, | |
0.031401240588820656, | |
-0.0922225182944203, | |
-0.08995322734335787, | |
-0.09337122961642308 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
3377.47489275612, | |
212122.673540784, | |
2.5393021320142107e-09, | |
4958358.367271699, | |
-264190.69057433505 | |
], | |
"pcov": [ | |
[ | |
5.365804516891292e-06, | |
3.4805430645110164e-07, | |
4.0992014653108796e-15, | |
2.370574670677698e-10, | |
3.480528090402932e-07 | |
], | |
[ | |
3.4805430645110174e-07, | |
2.2576633169883267e-08, | |
2.658957698739853e-16, | |
1.537679429610109e-11, | |
2.257653603994147e-08 | |
], | |
[ | |
4.0992014653108796e-15, | |
2.658957698739853e-16, | |
4.994001299237933e-24, | |
1.8109983569250003e-19, | |
2.6589462592836427e-16 | |
], | |
[ | |
2.370574670677698e-10, | |
1.537679429610109e-11, | |
1.8109983569250003e-19, | |
1.0473032052450609e-14, | |
1.5376728141545457e-11 | |
], | |
[ | |
3.480528090402932e-07, | |
2.257653603994147e-08, | |
2.6589462592836427e-16, | |
1.537672814154546e-11, | |
2.2576438910417545e-08 | |
] | |
], | |
"r2": 0.4257163382375202, | |
"aic": -167.49345077164372, | |
"residuals": [ | |
0.558601958095096, | |
0.2785583029035479, | |
0.014597252011299133, | |
-0.09947441145777702, | |
-0.18107215559575707, | |
-0.20053179521346465, | |
-0.176085768151097, | |
-0.13636680686613545, | |
-0.12103986705187708, | |
-0.08712079207180068, | |
-0.05686866887845099, | |
-0.04589452041545883, | |
0.031060405948664993, | |
0.0018685365212149918, | |
0.02542611031094566, | |
0.029456447751726955, | |
0.05821924871997908, | |
0.05334514786954969, | |
0.05763758544344455, | |
0.051522549299988896, | |
0.04938040964771062, | |
0.053908669389784336, | |
0.005050677747931331, | |
-0.020139028725679964, | |
0.03342405357398093, | |
0.0027266228571534157, | |
-0.03149893775116652, | |
-0.0308970010955818, | |
-0.05732236779294908, | |
-0.0967119979322888, | |
-0.1353604788891971, | |
-0.12436323222937062, | |
-0.1594598201336339, | |
-0.13827207149006426, | |
-0.013911592832300812, | |
0.035476607154123485, | |
0.05628024379257113, | |
0.13524402462644503, | |
0.34329525619978085, | |
0.1694108716910705, | |
0.10907599475467578, | |
0.031841343734413385, | |
-0.0913698083604686, | |
-0.08853209903463721, | |
-0.09174635482486337 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
-2.176042200105426, | |
19.556468911750983, | |
0.00014196190685294326, | |
7198.730744727669, | |
1.43415658623118 | |
], | |
"pcov": [ | |
[ | |
35.474156921743266, | |
-356.93177825522, | |
-0.00036337788139885165, | |
-139222.35989484936, | |
0.051547149946553586 | |
], | |
[ | |
-356.93177825522, | |
3591.604433844041, | |
0.0036495573300400473, | |
1401752.0014108368, | |
-0.5173852505208372 | |
], | |
[ | |
-0.0003633778813988516, | |
0.0036495573300400464, | |
4.068250501023695e-09, | |
1.401124581741707, | |
-7.421115004918621e-07 | |
], | |
[ | |
-139222.35989484936, | |
1401752.0014108368, | |
1.401124581741707, | |
549966247.6386269, | |
-195.5397731097416 | |
], | |
[ | |
0.05154714994655358, | |
-0.5173852505208372, | |
-7.42111500491862e-07, | |
-195.5397731097416, | |
0.0006395327668513455 | |
] | |
], | |
"r2": 0.6191198918549332, | |
"aic": -185.97219720746705, | |
"residuals": [ | |
0.00748991370525931, | |
0.013656402843637672, | |
-0.05781386781770026, | |
0.03396992005460597, | |
0.021611845665551632, | |
0.004528431038761993, | |
0.0012559405380794253, | |
0.0025583235212311983, | |
-0.02127503474156267, | |
-0.022499271603342086, | |
-0.02145470064365873, | |
-0.03335071586654559, | |
0.026706222661578627, | |
-0.014121359780542297, | |
0.002240790538899917, | |
0.0027047632399195276, | |
0.03078946504202662, | |
0.027479144667169386, | |
0.03502969598552008, | |
0.03341277880314664, | |
0.03663745715084188, | |
0.04710126237562218, | |
0.004507388186852257, | |
-0.01428049916094265, | |
0.045671311118975266, | |
0.021230984932779418, | |
-0.006961867156784818, | |
-0.0006239561571370622, | |
-0.021666297399064005, | |
-0.05606940101493296, | |
-0.09016149437093746, | |
-0.07506390950648645, | |
-0.10653610742183361, | |
-0.08221515132772694, | |
0.04477572862039425, | |
0.09628269068929596, | |
0.11868676960549074, | |
0.1977410596737481, | |
0.3925427704306912, | |
0.1920241072942992, | |
0.09169825136972265, | |
-0.03883747991975084, | |
-0.22860871687623918, | |
-0.3055380926495683, | |
-0.3352500594638417 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
3.233913882399863, | |
2028.1267965404918, | |
9.113336454257873e-09, | |
101879.03320750402, | |
-2064.3175835327065 | |
], | |
"pcov": null, | |
"r2": 0.37152782300650755, | |
"aic": -163.4358772878471, | |
"residuals": [ | |
0.5700234814348732, | |
0.28745057699143217, | |
0.021127157495811844, | |
-0.09719166138165747, | |
-0.18243658741585023, | |
-0.2049854482511364, | |
-0.18311039743502988, | |
-0.14548174891797316, | |
-0.13180005417189022, | |
-0.09911490269496426, | |
-0.06971740244762259, | |
-0.05924898623379704, | |
0.01752019453670073, | |
-0.011564928276129649, | |
0.012365710634639981, | |
0.017010496444072487, | |
0.0466053565837683, | |
0.04275824633123193, | |
0.04825095429987414, | |
0.04348878464816153, | |
0.042832336090214085, | |
0.04896020012347435, | |
0.0017976266344703618, | |
-0.021618179785036773, | |
0.03378067771836868, | |
0.00496497692711273, | |
-0.02734816926840722, | |
-0.02481778820128966, | |
-0.04931275083572473, | |
-0.0867835333383482, | |
-0.12353771288098869, | |
-0.11068320062895509, | |
-0.1439715728711235, | |
-0.12103621991855107, | |
0.0050001206614069815, | |
0.05598171969268151, | |
0.07828596302624646, | |
0.1630245387573268, | |
0.37317721948329563, | |
0.19677755060592972, | |
0.12851161927119392, | |
0.03724875638317826, | |
-0.10667231462775817, | |
-0.13173035584122772, | |
-0.14478144277700267 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
1.3476173922244754, | |
0.082372204281048, | |
1.9919781850920386 | |
], | |
"pcov": [ | |
[ | |
0.002330042808942721, | |
-25438.981628487418, | |
1.2025863467230338e-07 | |
], | |
[ | |
-25438.981628487418, | |
4.002143173607671e+16, | |
8.463486996743805e+17 | |
], | |
[ | |
1.2025880720834632e-07, | |
8.463486996743805e+17, | |
1.7903530185419596e+19 | |
] | |
], | |
"r2": -1.7732105461659948, | |
"aic": -100.63476275674982, | |
"residuals": [ | |
1.6712484359741209, | |
0.05382299011976466, | |
-0.20004153696934845, | |
-0.2943371578876224, | |
-0.3567144915286746, | |
-0.35750890223424103, | |
-0.31495237795750763, | |
-0.2576772019092288, | |
-0.22534788100163605, | |
-0.17497981039921906, | |
-0.12883162943761017, | |
-0.10251391379277375, | |
-0.010767464322253728, | |
-0.025719408673450017, | |
0.01152693780024383, | |
0.028695340472057795, | |
0.07004594357569549, | |
0.07720982583124969, | |
0.09299087079127166, | |
0.09781550915797088, | |
0.10606455357630584, | |
0.12043594868738983, | |
0.08087348492701385, | |
0.0644321397121701, | |
0.12619685681422088, | |
0.10315477402766082, | |
0.07603871377070281, | |
0.08320474179346893, | |
0.0627984956081662, | |
0.028883452730968928, | |
-0.004834537190600896, | |
0.010549540835216975, | |
-0.020703439397021794, | |
0.003785128908947444, | |
0.13090407403071258, | |
0.18250882180292938, | |
0.20498752148707244, | |
0.284219498949841, | |
0.47906660588343475, | |
0.2785594418819699, | |
0.17823648007471893, | |
0.047701473551586604, | |
-0.14206958262364533, | |
-0.218998913449451, | |
-0.24871087519566681 | |
] | |
} | |
}, | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
6.696411144150497, | |
2.124795054887485e-21, | |
111625775741742.75, | |
1.3949690356005166e+18, | |
-277.49842276744886 | |
], | |
"pcov": [ | |
[ | |
6.827878758392637e-85, | |
-3.123999150387416e-65, | |
1.7809864391840622e-100, | |
1.4102462925091924e-104, | |
1.604908897840323e-86 | |
], | |
[ | |
-3.123999150387416e-65, | |
1.4293415329944684e-45, | |
-8.148651022872445e-81, | |
-6.45238202892878e-85, | |
-7.343033188952912e-67 | |
], | |
[ | |
1.7809864391840622e-100, | |
-8.148651022872445e-81, | |
4.6455316633422925e-116, | |
3.6784916834986966e-120, | |
4.1862503484937935e-102 | |
], | |
[ | |
1.4102462925091924e-104, | |
-6.45238202892878e-85, | |
3.678491683498696e-120, | |
2.912756180814359e-124, | |
3.314816948400444e-106 | |
], | |
[ | |
1.604908897840323e-86, | |
-7.343033188952912e-67, | |
4.1862503484937935e-102, | |
3.314816948400444e-106, | |
3.772375962594564e-88 | |
] | |
], | |
"r2": 0.9412558724235868, | |
"aic": -44.65143926325975, | |
"residuals": [ | |
0.6843096681430438, | |
-0.4165809205346136, | |
-0.6457349712014775, | |
-0.3887895242656896, | |
0.15367453380781626, | |
0.2516076323732932, | |
0.3348695375219677, | |
0.2823079061487306, | |
0.07564516666434429, | |
-0.04164838931308168, | |
-0.23918613436484293, | |
-0.38184858450614456, | |
0.8474858198538868, | |
-0.20839013853287724, | |
0.09264626262580578, | |
0.27110936161784593, | |
0.2857603570896572, | |
0.8567411118017958, | |
0.17191152904479168, | |
0.13380762881263308, | |
0.03281919446391157, | |
-0.22917467021875382, | |
-0.026499320362972867, | |
-0.32129105123289037, | |
-0.5418010600367325, | |
-0.5806887137496801, | |
-0.5570604254230034, | |
-0.4305332131560249, | |
-0.47909056790251725, | |
-0.5904578777570464, | |
-0.42935164765702893, | |
-0.46069849934747253, | |
-1.2795991964533187, | |
-0.7575735642635095, | |
0.8933272882761116, | |
0.9004327553301437, | |
1.0030197715350937, | |
0.7227963135757136, | |
1.114472467451094, | |
0.6374228257117807, | |
0.07250658128157283, | |
0.4160728871393644, | |
-0.35994681760655567, | |
-0.3630563015641428, | |
-0.5074446283884413 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
6.639808492196573, | |
3.2156222338344963e-06, | |
0.3135614583732589, | |
3946.8519901746354, | |
-52.84032980979319 | |
], | |
"pcov": null, | |
"r2": 0.940969642776915, | |
"aic": -44.43271006259662, | |
"residuals": [ | |
0.6815729694079309, | |
-0.4176108754263197, | |
-0.6455294894227777, | |
-0.38711726494080523, | |
0.15593004543070066, | |
0.25391424280682884, | |
0.3369128789800442, | |
0.283912779423126, | |
0.07672712810455096, | |
-0.04111393775194472, | |
-0.23918426216103938, | |
-0.38233850379758394, | |
0.846561380379562, | |
-0.20968186655849763, | |
0.09105984768685715, | |
0.26930297622362787, | |
0.28380851444293853, | |
0.8547164705582375, | |
0.16988372198083113, | |
0.1318424403395113, | |
0.030977993707175244, | |
-0.2308353079430958, | |
-0.027927852564722855, | |
-0.32244110367702916, | |
-0.5426314851996068, | |
-0.5811635921622482, | |
-0.5571490248150113, | |
-0.43020991665859043, | |
-0.4783347798427684, | |
-0.589253913535849, | |
-0.4276886126547339, | |
-0.45857016063325773, | |
-1.2770038501755252, | |
-0.7545139009127837, | |
0.8968443190667301, | |
0.9043960791950028, | |
1.007414322057052, | |
0.728990224760949, | |
1.121561314379683, | |
0.6441329496727093, | |
0.0772523447753315, | |
0.41700415711000716, | |
-0.3649052769842456, | |
-0.3761719952672493, | |
-0.5234749249798796 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
6.71706055659602, | |
41450.35802263238, | |
1.6806977320075752e-09, | |
12473.406373872658, | |
-41512.26454732448 | |
], | |
"pcov": [ | |
[ | |
0.14003583539082748, | |
-0.7013961424229231, | |
5.5731839515174573e-11, | |
-0.0025809207133408213, | |
-0.7013962720834651 | |
], | |
[ | |
-0.7013961424229231, | |
3.5180394505620676, | |
-2.7604242500381254e-10, | |
0.012944967732331707, | |
3.5180401009217745 | |
], | |
[ | |
5.5731839515174573e-11, | |
-2.7604242500381254e-10, | |
2.5272213832717258e-20, | |
-1.0159559761996643e-12, | |
-2.7604247602527545e-10 | |
], | |
[ | |
-0.0025809207133408213, | |
0.012944967732331706, | |
-1.0159559761996643e-12, | |
4.763228734610531e-05, | |
0.012944970125392556 | |
], | |
[ | |
-0.7013962720834652, | |
3.518040100921775, | |
-2.7604247602527545e-10, | |
0.012944970125392558, | |
3.5180407512816023 | |
] | |
], | |
"r2": 0.9413366846342934, | |
"aic": -44.71338678489831, | |
"residuals": [ | |
0.6854771650105249, | |
-0.41596514192497125, | |
-0.6455281820599339, | |
-0.38909336638607783, | |
0.15313474461436272, | |
0.251001449447358, | |
0.3343006654831697, | |
0.2818374749767827, | |
0.07530616407893831, | |
-0.0418418361878139, | |
-0.2392326113258605, | |
-0.38175521944504, | |
0.8477062423698953, | |
-0.20805907195608597, | |
0.09306937397195725, | |
0.2716047689464176, | |
0.28630791133036837, | |
0.8573208070010878, | |
0.1725038965960266, | |
0.13439402225776576, | |
0.03338199352583615, | |
-0.22865191579330713, | |
-0.026031792040157598, | |
-0.3208925967483083, | |
-0.5414841540914495, | |
-0.5804644379604724, | |
-0.5569384627960972, | |
-0.4305218535955646, | |
-0.4791967218188802, | |
-0.5906870958278887, | |
-0.4297081450058613, | |
-0.46118518292496447, | |
-1.2802176945842803, | |
-0.7583242577238707, | |
0.8924452343708253, | |
0.8994213591795415, | |
1.0018822022539098, | |
0.7211134680474061, | |
1.1124783402628964, | |
0.6354621959399083, | |
0.07101996987330494, | |
0.41558393092418555, | |
-0.3588419243169483, | |
-0.35969765763002215, | |
-0.5032725947894505 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
5.89414887092918, | |
4590.0046320505135, | |
1.3359737169398386e-08, | |
9999.999999999998, | |
-4642.9926191351005 | |
], | |
"pcov": [ | |
[ | |
1.9100525040403615, | |
-9.581364997379106, | |
4.057424350785186e-09, | |
5454.067973867277, | |
-10.930045327730232 | |
], | |
[ | |
-9.581364997379106, | |
48.06832456637344, | |
-2.031317828112468e-08, | |
-27380.442076240357, | |
54.83895236676529 | |
], | |
[ | |
4.057424350785186e-09, | |
-2.031317828112468e-08, | |
9.172899637095825e-18, | |
1.1049696866617131e-05, | |
-2.3045541065138226e-08 | |
], | |
[ | |
5454.067973867277, | |
-27380.442076240357, | |
1.1049696866617131e-05, | |
16513023.47061567, | |
-31463.783130200758 | |
], | |
[ | |
-10.930045327730232, | |
54.838952366765284, | |
-2.3045541065138226e-08, | |
-31463.783130200758, | |
62.6193088938874 | |
] | |
], | |
"r2": 0.9409175116897907, | |
"aic": -44.39298704919648, | |
"residuals": [ | |
0.8307993227717816, | |
-0.32212187269306014, | |
-0.5913422743205956, | |
-0.38946282025790424, | |
0.12002877597933548, | |
0.19881135017021734, | |
0.27185956387893384, | |
0.21499071496418765, | |
0.007973804219545855, | |
-0.10701911365868, | |
-0.30048555701068835, | |
-0.43792007267802546, | |
0.7973658034024993, | |
-0.2521442878014568, | |
0.05544979447768128, | |
0.24050125371104514, | |
0.2616543897711381, | |
0.8389663966736407, | |
0.16023623138244147, | |
0.12795657711740205, | |
0.03248704334055219, | |
-0.22431354744367127, | |
-0.016783367597781762, | |
-0.3070658847118466, | |
-0.5234151964541525, | |
-0.558490341633842, | |
-0.5313949737846997, | |
-0.40174153239422594, | |
-0.4475075828295303, | |
-0.5564116058249056, | |
-0.3931625003442605, | |
-0.4226788034020501, | |
-1.240052885887053, | |
-0.7167960048727764, | |
0.9350493717656718, | |
0.9428212729517327, | |
1.045805201040821, | |
0.7638137093827027, | |
1.1481753440320972, | |
0.6591234286443068, | |
0.07824625804641983, | |
0.4025080797391638, | |
-0.3956402312487626, | |
-0.4232619170416001, | |
-0.5754110501111427 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
6.5915721268394885, | |
935.1579619446418, | |
6.793291967675376e-08, | |
12135.744443831261, | |
-995.7178290878206 | |
], | |
"pcov": null, | |
"r2": 0.9413078106060615, | |
"aic": -44.691243276601554, | |
"residuals": [ | |
0.7032425937696871, | |
-0.4041210235947119, | |
-0.6383374428758088, | |
-0.3884771668523399, | |
0.14965721093267348, | |
0.24503275772372035, | |
0.32690708489838016, | |
0.27374337049093356, | |
0.06701029375517464, | |
-0.04999380573883627, | |
-0.24700130987514513, | |
-0.38897649201101103, | |
0.8411424918181183, | |
-0.21389455695748438, | |
0.08800395564867358, | |
0.2673297616873924, | |
0.28282765969731827, | |
0.8546276814333851, | |
0.17058129411088885, | |
0.13321862338852952, | |
0.03292547287446723, | |
-0.22842158457888218, | |
-0.025149335292667274, | |
-0.31939466974347397, | |
-0.5394087450890765, | |
-0.5778504066913683, | |
-0.5538251827598515, | |
-0.42694893484645036, | |
-0.47520379670334023, | |
-0.5863136538904428, | |
-0.42499340663789553, | |
-0.4561680035239988, | |
-1.274936492882489, | |
-0.7528169631384571, | |
0.8981412191996014, | |
0.9052691838996907, | |
1.0078455848073418, | |
0.7271305984338596, | |
1.1177271165602178, | |
0.6391844513439082, | |
0.0725124040591254, | |
0.41418930478857874, | |
-0.36374247867070153, | |
-0.3686910829032968, | |
-0.5136042351105061 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
8.888390287261709, | |
0.00029336305926417423, | |
1.9999999999999942 | |
], | |
"pcov": [ | |
[ | |
0.034128862790198874, | |
7.718399869271048e-06, | |
0.07411338710802774 | |
], | |
[ | |
7.718399869271048e-06, | |
2.5302770202130024e-08, | |
0.0001774250877880711 | |
], | |
[ | |
0.07411338710802774, | |
0.0001774250877880711, | |
1.2739433230181034 | |
] | |
], | |
"r2": 0.8862092218776443, | |
"aic": -18.898776181993046, | |
"residuals": [ | |
2.129929542541504, | |
1.2103052744143, | |
0.8757667605007444, | |
0.7400001796621898, | |
0.9027568912507382, | |
0.683143018076739, | |
0.5102470361522764, | |
0.256150754356824, | |
-0.10469497823510387, | |
-0.3357008195941136, | |
-0.6127465175141786, | |
-0.806303150327377, | |
0.3958314109813381, | |
-0.6678353680054405, | |
-0.3588843906775887, | |
-0.1599815512033942, | |
-0.11508123936742631, | |
0.4936512712673018, | |
-0.14787487588916193, | |
-0.13876531507678536, | |
-0.19000510635716594, | |
-0.4008606264113599, | |
-0.14660624315713555, | |
-0.3901595161430045, | |
-0.5604101087797773, | |
-0.5505346453347055, | |
-0.4800542048993304, | |
-0.30891388881842197, | |
-0.3153524181166194, | |
-0.38728930568171194, | |
-0.18958410662956204, | |
-0.18726396532849243, | |
-0.9754949090386855, | |
-0.42583293697919267, | |
1.2496585317223516, | |
1.2783160268889358, | |
1.3994393377713141, | |
1.168206004511715, | |
1.5416598723079424, | |
0.9877294305784527, | |
0.2954659780260318, | |
0.4683734202054115, | |
-0.5155930202162615, | |
-0.758931970472835, | |
-0.9810442049746211 | |
] | |
} | |
}, | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
6331.095054676326, | |
1.656053983863145, | |
1.4542784517108869e-06, | |
1.3837369363748568, | |
-206.98641574162448 | |
], | |
"pcov": [ | |
[ | |
0.6345239825714906, | |
-0.9456569774298126, | |
-2.488706255335746e-07, | |
0.26229732174995857, | |
-303.00340274337265 | |
], | |
[ | |
-0.9456569774298126, | |
1.4093513181443011, | |
3.708947839712172e-07, | |
-0.39091178837676643, | |
451.57833251203414 | |
], | |
[ | |
-2.488706255335746e-07, | |
3.7089478397121724e-07, | |
9.926706418158244e-14, | |
-1.0293981837587482e-07, | |
0.00011884286215391054 | |
], | |
[ | |
0.2622973217499585, | |
-0.39091178837676643, | |
-1.0293981837587481e-07, | |
0.10843238649321962, | |
-125.25449500900015 | |
], | |
[ | |
-303.0034027433726, | |
451.57833251203414, | |
0.00011884286215391053, | |
-125.25449500900015, | |
144692.8163408205 | |
] | |
], | |
"r2": 0.9302852535714807, | |
"aic": -51.04692106994995, | |
"residuals": [ | |
1.542913102912081, | |
0.7201396592611502, | |
0.6410126420496169, | |
0.048365294233377654, | |
-0.2996521142645747, | |
-0.6053256721336027, | |
-0.7005752908911518, | |
-0.7588083393033571, | |
-0.769934102469108, | |
-0.701009277549673, | |
-0.5859216363879796, | |
-0.5605053973078498, | |
0.25415440687976343, | |
-0.21219748266236138, | |
-0.00436645722703588, | |
-0.2823247060722167, | |
-0.35651887227626844, | |
0.23826118578125488, | |
-5.1123826949606155e-06, | |
0.22659085970306592, | |
0.3224069110075334, | |
0.31717807443413903, | |
0.4253542133258179, | |
0.11739145878473778, | |
0.14673021629977256, | |
0.20451689347544288, | |
0.2152028747102861, | |
0.2194967254886251, | |
0.1511886578095698, | |
0.14786715039963383, | |
0.27646339265155007, | |
0.18140028950253395, | |
-0.6153186646741631, | |
-0.3432216381911246, | |
0.8624500491599463, | |
0.614181916433381, | |
0.513250384964806, | |
-0.1914392207752087, | |
-0.16615180846744693, | |
-0.7495622013825596, | |
-0.9697380095400376, | |
-0.1097674260245185, | |
-0.23153587475800919, | |
0.3105700992887819, | |
0.5166891212925293 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
764.7588838889013, | |
0.33157317989906543, | |
4.9773236520865215e-06, | |
2.4774734497904545, | |
-304.2091566239913 | |
], | |
"pcov": null, | |
"r2": 0.9301160599590083, | |
"aic": -50.93784101365635, | |
"residuals": [ | |
1.5419736829214798, | |
0.7191338890750671, | |
0.639954606041556, | |
0.04724145257426926, | |
-0.3007957484521171, | |
-0.6064494804946321, | |
-0.7016456596086869, | |
-0.7597972807931228, | |
-0.7708188886864491, | |
-0.7017720846042153, | |
-0.5865492001689745, | |
-0.560988679832974, | |
0.253820540674667, | |
-0.21238038736004228, | |
-0.004400141966470983, | |
-0.28221390564186777, | |
-0.35627103059619003, | |
0.23863619062308317, | |
0.00048500942472173847, | |
0.2271821415604336, | |
0.3230837342248378, | |
0.31792339927034163, | |
0.42614981170527244, | |
0.11821813921773128, | |
0.1475680412110023, | |
0.20534538914120049, | |
0.21600123399679205, | |
0.22024400358270668, | |
0.1518639611249455, | |
0.14844981883908304, | |
0.27693317539967666, | |
0.18173751452115994, | |
-0.6151329272838666, | |
-0.34320541879537814, | |
0.8622797713089767, | |
0.6138093591206939, | |
0.5126611034285702, | |
-0.19327281857107437, | |
-0.16931847428992342, | |
-0.7538552231343374, | |
-0.9746019741618284, | |
-0.11425645907229409, | |
-0.23428186491230463, | |
0.31138060644991583, | |
0.5189888204400859 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
2657.5790018400517, | |
-40076.017881432614, | |
2.926846786607867e-06, | |
3790147.9218749534, | |
-179.84251697749409 | |
], | |
"pcov": [ | |
[ | |
3004307.605706966, | |
-44964687.84085228, | |
-0.004271619906733469, | |
-523021.9136939188, | |
-543724.7099006069 | |
], | |
[ | |
-44964687.84085228, | |
672975000.8160112, | |
0.06392890512335697, | |
7827935.412430358, | |
8137534.991716879 | |
], | |
[ | |
-0.004271619906733468, | |
0.06392890512335697, | |
6.117060347362308e-12, | |
0.0007436107516675711, | |
0.0007763700876663219 | |
], | |
[ | |
-523021.91369391873, | |
7827935.412430358, | |
0.0007436107516675711, | |
91053.26757644687, | |
94654.49133731776 | |
], | |
[ | |
-543724.7099006069, | |
8137534.9917168785, | |
0.0007763700876663219, | |
94654.49133731776, | |
98652.7051927297 | |
] | |
], | |
"r2": 0.9303373422560721, | |
"aic": -51.08055623383689, | |
"residuals": [ | |
1.5437930758648122, | |
0.7209600698368774, | |
0.6417729517261819, | |
0.04900449265119278, | |
-0.2991341249410482, | |
-0.6049277371396613, | |
-0.70029509790308, | |
-0.7586425109521997, | |
-0.7698782864590328, | |
-0.7010582343650924, | |
-0.586069324677311, | |
-0.5607450569475247, | |
0.25383017394111107, | |
-0.21259833152052465, | |
-0.004835481756373383, | |
-0.2828530574902288, | |
-0.3570973655037619, | |
0.23764200190481688, | |
-0.0006553378790385977, | |
0.22591937324122568, | |
0.3217240115404536, | |
0.3164936147683193, | |
0.4246779905420226, | |
0.11673315541909801, | |
0.1460993433585429, | |
0.20392273514485737, | |
0.21465443479641522, | |
0.21900267549008845, | |
0.15075728666545274, | |
0.14750631582131746, | |
0.27618047402006596, | |
0.18120214229273301, | |
-0.6154257529248071, | |
-0.3432319904802057, | |
0.8625414581614166, | |
0.6143794206647328, | |
0.5135575886409072, | |
-0.19055751225226913, | |
-0.16473469764861193, | |
-0.7477754972889272, | |
-0.9678891732496311, | |
-0.10831737583134782, | |
-0.23110798383905262, | |
0.3091835086701735, | |
0.5145778637896967 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
5.210349448791868, | |
6316.823889952095, | |
9.927661902785528e-09, | |
9999.999999999998, | |
-6364.833752429891 | |
], | |
"pcov": [ | |
[ | |
4.64184328526377, | |
-22.44324456697327, | |
7.217884709958764e-09, | |
14990.829690923067, | |
-27.4024621957187 | |
], | |
[ | |
-22.44324456697327, | |
108.52869722693453, | |
-3.488774239820943e-08, | |
-72375.1691073511, | |
132.47161580112981 | |
], | |
[ | |
7.217884709958764e-09, | |
-3.488774239820943e-08, | |
1.1941312557544509e-17, | |
2.223404353940394e-05, | |
-4.224313660472298e-08 | |
], | |
[ | |
14990.82969092307, | |
-72375.16910735112, | |
2.223404353940394e-05, | |
51332526.175891764, | |
-89356.82860719798 | |
], | |
[ | |
-27.402462195718705, | |
132.47161580112981, | |
-4.224313660472298e-08, | |
-89356.82860719798, | |
162.03235178763427 | |
] | |
], | |
"r2": 0.8036909768629293, | |
"aic": -4.459402029377159, | |
"residuals": [ | |
2.4866009235656747, | |
1.4011035974599508, | |
1.099774375022207, | |
0.1581660710462529, | |
-0.4420785724196321, | |
-0.9285090303683319, | |
-1.1502580617989224, | |
-1.2929773766109065, | |
-1.3555873912646348, | |
-1.3119610401345199, | |
-1.2012598637547853, | |
-1.1634761700988747, | |
-0.32302616834022047, | |
-0.7528704469077638, | |
-0.5000373858301828, | |
-0.7263444743039145, | |
-0.743783741736479, | |
-0.08844929684801173, | |
-0.2634699240215923, | |
0.028115789250477974, | |
0.1898518396765212, | |
0.25077089865499147, | |
0.42471427730743017, | |
0.18160905516742787, | |
0.2744343831900551, | |
0.39393356401524215, | |
0.46420501679767767, | |
0.5256477868706497, | |
0.5117803810935584, | |
0.5599526258374681, | |
0.7368860610467891, | |
0.6868194835878967, | |
-0.06840515151088766, | |
0.2415424526152492, | |
1.4812972247264042, | |
1.2632367842170424, | |
1.1885438185181556, | |
0.5530491256322421, | |
0.5402369989606086, | |
-0.19071921608338016, | |
-0.6672880207916023, | |
-0.17022394239575078, | |
-0.7579756674258533, | |
-0.7807967422504589, | |
-0.7627758991957307 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
33.556994983924675, | |
2772.8547686610304, | |
6.993361314706622e-08, | |
76833.29645552738, | |
-3149.7122213812 | |
], | |
"pcov": null, | |
"r2": 0.9168521068527178, | |
"aic": -43.117515981751865, | |
"residuals": [ | |
1.827446063703519, | |
0.961760882247745, | |
0.8425799962551537, | |
0.17790164131974961, | |
-0.23215565837881513, | |
-0.5907464787278514, | |
-0.7305913079071615, | |
-0.8258364587350115, | |
-0.8670741057335363, | |
-0.8219927503796498, | |
-0.7250653226237773, | |
-0.7126685274247393, | |
0.09360921972347569, | |
-0.37695482801518665, | |
-0.1696005484905072, | |
-0.44470422983295066, | |
-0.513088592269014, | |
0.0901063046321724, | |
-0.13746639446344489, | |
0.10179781385522801, | |
0.21197314936443945, | |
0.22253011209249962, | |
0.34767173736599943, | |
0.057623795103609154, | |
0.10561166069055616, | |
0.1825809992997165, | |
0.2127957806969789, | |
0.23678959934386512, | |
0.1881893243230479, | |
0.20443096647568382, | |
0.3523034260797431, | |
0.27609685327297484, | |
-0.5023090752342796, | |
-0.21255796224158985, | |
1.010001306744016, | |
0.777754075676512, | |
0.6918835365186169, | |
0.045273500863913796, | |
0.09399980911939565, | |
-0.5064992916695701, | |
-0.7880076557685243, | |
-0.035690679787876434, | |
-0.3122673407124239, | |
0.02798789506459798, | |
0.1644869978249517 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
5.8729043535460255, | |
6.425821712933425e-05, | |
0.4821420326570808 | |
], | |
"pcov": [ | |
[ | |
0.06030437598006924, | |
1.8978612656796305e-07, | |
0.014094431830256339 | |
], | |
[ | |
1.8978612656796305e-07, | |
1.4720963406866312e-11, | |
1.5560615646347515e-07 | |
], | |
[ | |
0.014094431830256339, | |
1.5560615646347518e-07, | |
0.005595128596609671 | |
] | |
], | |
"r2": 0.8109333452926549, | |
"aic": -10.15097196384346, | |
"residuals": [ | |
2.4658303260803223, | |
1.8018657276652228, | |
1.8560763510375107, | |
1.4597668303381495, | |
1.224342286235766, | |
0.9593199953446676, | |
0.844172062374003, | |
0.7163447336936548, | |
0.5961400302980029, | |
0.5259884026752486, | |
0.4807039761636607, | |
0.3323273729820202, | |
0.966797224722062, | |
0.3200226408148046, | |
0.3525094429031155, | |
-0.09123785635201642, | |
-0.31799430772027293, | |
0.14035516186931485, | |
-0.2160259121899717, | |
-0.08771393445395503, | |
-0.0694492619518865, | |
-0.13114918254152474, | |
-0.058509620691715725, | |
-0.38165244525816444, | |
-0.3480866569611756, | |
-0.26792719456698677, | |
-0.21823860011100837, | |
-0.1600282047124848, | |
-0.16137032992323608, | |
-0.08664202524042874, | |
0.12906501842685625, | |
0.12813290584443138, | |
-0.569458487665889, | |
-0.1952130381391557, | |
1.1137265305189228, | |
0.9680407875198052, | |
0.9673157185602177, | |
0.6783574396332046, | |
0.8876115147822592, | |
0.2031874170011383, | |
-0.39075516968965207, | |
-0.1308034094442041, | |
-1.0251625223748952, | |
-1.384197862594947, | |
-1.4688728504847912 | |
] | |
} | |
}, | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
4.2555092239555336e+24, | |
49.98724191295172, | |
6.242233946626686e-07, | |
0.9988865034441864, | |
1.6080546778436957 | |
], | |
"pcov": [ | |
[ | |
8.159047607622275e-52, | |
-3.5399045787125355e-27, | |
-1.3421255632549538e-33, | |
2.880528583753761e-29, | |
-2.0411199403064006e-26 | |
], | |
[ | |
-3.5399045787125355e-27, | |
0.015358317648962103, | |
5.822750088480487e-09, | |
-0.00012497192211366844, | |
0.08855492435821402 | |
], | |
[ | |
-1.3421255632549534e-33, | |
5.822750088480486e-09, | |
3.782271079513305e-15, | |
-6.414049415275763e-11, | |
3.8537197667224035e-08 | |
], | |
[ | |
2.880528583753761e-29, | |
-0.00012497192211366844, | |
-6.414049415275763e-11, | |
1.38909223707621e-06, | |
-0.0007943894307680117 | |
], | |
[ | |
-2.0411199403064003e-26, | |
0.08855492435821401, | |
3.8537197667224035e-08, | |
-0.0007943894307680116, | |
0.5454765645508408 | |
] | |
], | |
"r2": 0.8546969823480495, | |
"aic": -7.465701419516641, | |
"residuals": [ | |
2.0396458638514035, | |
0.9238005532132885, | |
0.3450506322566005, | |
-0.6571945759001885, | |
-1.0795196448183724, | |
-1.200106647844736, | |
-1.2477742447075721, | |
-1.3089587814053738, | |
-1.060636065242968, | |
-0.8270522285175765, | |
-0.5032794887089578, | |
-0.23344667936316466, | |
0.5288591607077997, | |
0.5952391813216691, | |
1.264513583755014, | |
1.5650777417764292, | |
0.17149686696775213, | |
0.16247521375048546, | |
0.14362569701688965, | |
0.5153789933222503, | |
0.9032577099423005, | |
1.21033240764059, | |
2.1041447640116697, | |
0.3120506162851546, | |
0.10282137749746934, | |
0.11861628462858409, | |
0.048994555212747315, | |
-0.15054326574935573, | |
-0.2681780132633911, | |
-0.4509000158586005, | |
-0.5981888025861117, | |
-0.6598224000832431, | |
-0.9267197117333321, | |
-0.8760962896842335, | |
-0.7627155532652337, | |
-0.758493043448194, | |
-0.5880450661766474, | |
-0.5037514955499871, | |
0.13396942007942947, | |
-0.07503226269810792, | |
0.07447700364359822, | |
0.5820787996279861, | |
0.28560442673274444, | |
0.2905031185614302, | |
0.3199711674216492 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
12045.478681578432, | |
4.902969122936225, | |
5.875400344512573e-06, | |
0.9904353845392716, | |
1.5295335346238912 | |
], | |
"pcov": null, | |
"r2": 0.8534539539233246, | |
"aic": -7.082375760450937, | |
"residuals": [ | |
2.039728675073233, | |
0.9219829150405163, | |
0.3417781287944013, | |
-0.6622561008792358, | |
-1.0851891679386911, | |
-1.2055209960785893, | |
-1.2523303519622466, | |
-1.3122643878013225, | |
-1.0624677721461868, | |
-0.8273199520971399, | |
-0.5019964696619272, | |
-0.2307043081611262, | |
0.5329123536777995, | |
0.6004149417021623, | |
1.2705982557985713, | |
1.5718439358523675, | |
0.17871285528770287, | |
0.16991238904377148, | |
0.15106438604057004, | |
0.5226128793102589, | |
0.9100970848129926, | |
1.2166064454792131, | |
2.1097029815726565, | |
0.31676366361392816, | |
0.10658128189566796, | |
0.12133625376100454, | |
0.05060842989670711, | |
-0.1500818318732371, | |
-0.2688965816281321, | |
-0.4528085430385236, | |
-0.6012809259728691, | |
-0.6640767902806175, | |
-0.93210145942877, | |
-0.882558300504332, | |
-0.7701999290758454, | |
-0.7669324328226566, | |
-0.5973639704038547, | |
-0.516134250062656, | |
0.12099334374102888, | |
-0.08617772939440993, | |
0.06723340852435644, | |
0.5803156146652064, | |
0.290381266083946, | |
0.30240312718532936, | |
0.3340598410721176 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
2433.341108721644, | |
-37241.84428130404, | |
3.140080512312983e-05, | |
4432240.249661638, | |
1.6093112117328505 | |
], | |
"pcov": [ | |
[ | |
45707.10057133314, | |
-699625.3383796978, | |
0.00042921113713034347, | |
-6286.200748185875, | |
32.86487732540879 | |
], | |
[ | |
-699625.3383796978, | |
10708962.968322402, | |
-0.0065715747336328855, | |
96221.05906196893, | |
-503.62596190851167 | |
], | |
[ | |
0.00042921113713034347, | |
-0.006571574733632886, | |
1.0007672446656274e-11, | |
-5.9046165825836796e-05, | |
1.9993795284456377e-06 | |
], | |
[ | |
-6286.200748185875, | |
96221.05906196893, | |
-5.9046165825836796e-05, | |
864.5554414936335, | |
-4.52510701724297 | |
], | |
[ | |
32.864877325408784, | |
-503.62596190851167, | |
1.9993795284456377e-06, | |
-4.52510701724297, | |
0.545015328731163 | |
] | |
], | |
"r2": 0.8547118192582668, | |
"aic": -7.47029661003895, | |
"residuals": [ | |
2.03956749607955, | |
0.923724462401869, | |
0.344973570197294, | |
-0.6572814780028322, | |
-1.0796242370942357, | |
-1.2002340628492423, | |
-1.247927397523945, | |
-1.3091388008383964, | |
-1.0608426640803748, | |
-0.8272840200924794, | |
-0.5035342561887424, | |
-0.23372160352478755, | |
0.5285673100966362, | |
0.5949338859026003, | |
1.264198444721825, | |
1.5647563721021056, | |
0.17117280450514905, | |
0.16215185235894047, | |
0.14330623317501878, | |
0.5150663860059286, | |
0.9029546517816112, | |
1.2100413056233386, | |
2.1038677282374634, | |
0.3117894553832379, | |
0.10257759959965007, | |
0.11839110282703302, | |
0.048788896660824754, | |
-0.15072874787945256, | |
-0.2683429256284757, | |
-0.4510442091492477, | |
-0.5983123545806492, | |
-0.6599255979688534, | |
-0.9268030340225231, | |
-0.8761603880394704, | |
-0.762761234455362, | |
-0.7585212516436126, | |
-0.5880568657374825, | |
-0.5037003054354496, | |
0.13404755866744367, | |
-0.07496365286800266, | |
0.07450372772795077, | |
0.5820377605442602, | |
0.2854769859060977, | |
0.2902775948232641, | |
0.3197148792773312 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
8.324417577471392, | |
-75.88206416183228, | |
1.4964932392156756e-05, | |
9999.999999999998, | |
-0.4566422518341181 | |
], | |
"pcov": [ | |
[ | |
40.37250353692013, | |
-450.58958266985286, | |
5.209863362079125e-05, | |
76496.42175311847, | |
17.686623066781177 | |
], | |
[ | |
-450.5895826698528, | |
5033.016350768606, | |
-0.0005873067727836889, | |
-854062.1124127038, | |
-201.22649106414497 | |
], | |
[ | |
5.2098633620791246e-05, | |
-0.0005873067727836889, | |
8.007733650026114e-11, | |
0.09609951869319963, | |
3.0076215498512824e-05 | |
], | |
[ | |
76496.42175311847, | |
-854062.1124127039, | |
0.09609951869319965, | |
147615580.40177798, | |
32496.788092736464 | |
], | |
[ | |
17.686623066781177, | |
-201.22649106414497, | |
3.0076215498512824e-05, | |
32496.788092736457, | |
12.08080761762934 | |
] | |
], | |
"r2": 0.8017283946280707, | |
"aic": 6.521040910892641, | |
"residuals": [ | |
2.3364861196133897, | |
1.0130246612590144, | |
0.2828034532663679, | |
-0.9010577224756355, | |
-1.396588090665714, | |
-1.5241069355491428, | |
-1.5391934685696675, | |
-1.5457048983282107, | |
-1.2321027365108064, | |
-0.9302185477840004, | |
-0.5400827926293008, | |
-0.208981381540168, | |
0.6075908449091099, | |
0.7201989607344341, | |
1.427235593415812, | |
1.7570907564164635, | |
0.38461315014897135, | |
0.38898309561371747, | |
0.3764122930163518, | |
0.7480021238976242, | |
1.1299809292580836, | |
1.4261333829066682, | |
2.3047046012631522, | |
0.4937297964065701, | |
0.2626265403430015, | |
0.25416103705433546, | |
0.15845668161112414, | |
-0.0684664142326481, | |
-0.21431463231765147, | |
-0.42564849506923697, | |
-0.6015612038539668, | |
-0.691486270150862, | |
-0.9860378886968606, | |
-0.9621644837678716, | |
-0.8743975741302439, | |
-0.8944536162698613, | |
-0.7467802315270253, | |
-0.7497301884365948, | |
-0.14989638253369542, | |
-0.34793027506341545, | |
-0.14454727208674756, | |
0.45149297272658906, | |
0.26917368523784235, | |
0.4056564843093522, | |
0.4768892205545323 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
36.385712152937245, | |
-402.630238017244, | |
2.5601035657265454e-05, | |
62645.25637504842, | |
1.3371744845107725 | |
], | |
"pcov": null, | |
"r2": 0.8483355063238827, | |
"aic": -5.537475540155631, | |
"residuals": [ | |
2.0725212929952153, | |
0.9385584022970168, | |
0.34514695664305894, | |
-0.6777142940453178, | |
-1.1114173548572106, | |
-1.2365104981940522, | |
-1.2837156669542669, | |
-1.3409894472553034, | |
-1.0865114448848754, | |
-0.8454707282026348, | |
-0.5136679910646489, | |
-0.23578483036258469, | |
0.5341823174047704, | |
0.607541579740408, | |
1.2829140110416422, | |
1.5885709813498021, | |
0.19901327303461258, | |
0.19292737495599077, | |
0.17594442253285258, | |
0.5485404979250958, | |
0.9363035743763124, | |
1.2423836375477055, | |
2.1344110572968518, | |
0.33983576863320764, | |
0.1275256035958261, | |
0.1397361040840046, | |
0.06612078350318029, | |
-0.13772897275325136, | |
-0.2599076902255746, | |
-0.4473246888509781, | |
-0.5993843096432876, | |
-0.6657955277254199, | |
-0.9374144829189603, | |
-0.8914002715677469, | |
-0.782466080726751, | |
-0.7824832774390966, | |
-0.616029825162828, | |
-0.5470606616260802, | |
0.08440174600073824, | |
-0.12165523217764473, | |
0.03882878578509619, | |
0.5636575321098656, | |
0.28874842859919436, | |
0.3177763492404946, | |
0.3547508544674267 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
5.842237520538039, | |
9.55493579225062e-05, | |
0.24064376874880142 | |
], | |
"pcov": [ | |
[ | |
0.05907979713829877, | |
3.6784191827684606e-07, | |
0.004843314125076983 | |
], | |
[ | |
3.678419182768461e-07, | |
2.1304748121515796e-11, | |
9.534013582772341e-08 | |
], | |
[ | |
0.004843314125076983, | |
9.534013582772341e-08, | |
0.0020564162553912612 | |
] | |
], | |
"r2": 0.5790032130557267, | |
"aic": 36.40547241133099, | |
"residuals": [ | |
2.6684989929199214, | |
2.088695350085357, | |
1.9613640432680661, | |
1.626430177018542, | |
1.5899931367178717, | |
1.614964016309535, | |
1.5147123169753072, | |
1.2448564447722998, | |
1.1691987807599862, | |
1.0019712712993014, | |
0.8834027588372848, | |
0.7007775892763908, | |
1.0275010051241358, | |
0.6973948172921594, | |
1.0265574468882441, | |
1.0557205788415924, | |
-0.5329981413367513, | |
-0.6578285790327616, | |
-0.7141634138600619, | |
-0.3061400223123272, | |
0.18421157891120465, | |
0.6500461886092364, | |
1.7472668847763435, | |
0.19050401150020768, | |
0.23532709775913663, | |
0.5107837694259274, | |
0.6939194289984139, | |
0.7287550418603184, | |
0.8170213237437096, | |
0.8033029906884321, | |
0.7815452415685185, | |
0.7973459444220108, | |
0.557134290668535, | |
0.5829622599724393, | |
0.6211354530635242, | |
0.5024358014036201, | |
0.5063559068456858, | |
-0.6862105997250776, | |
-1.4467561256697659, | |
-2.5583357572677174, | |
-2.7164816368510474, | |
-2.2138878786123595, | |
-2.556100787837585, | |
-2.7849919947088795, | |
-2.8554319223355087 | |
] | |
} | |
}, | |
{ | |
"original": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
4.239349117069323, | |
2.0676964019205015, | |
1.570005901271671e-05, | |
1.1266650350106113, | |
3.971129564256287 | |
], | |
"pcov": [ | |
[ | |
123701555.5050875, | |
20813807.91575837, | |
-143.15366560398846, | |
-1093542.7527788298, | |
11508.59294082651 | |
], | |
[ | |
20813807.91575837, | |
3502139.136138957, | |
-24.08632736910617, | |
-184008.27765295148, | |
1940.9785061362222 | |
], | |
[ | |
-143.15366560398846, | |
-24.08632736910617, | |
0.00016569749489466455, | |
1.2650059490833132, | |
-0.01322318763305909 | |
], | |
[ | |
-1093542.7527788298, | |
-184008.27765295148, | |
1.2650059490833132, | |
9678.976286382793, | |
-103.47028619576051 | |
], | |
[ | |
11508.59294082651, | |
1940.9785061362222, | |
-0.01322318763305909, | |
-103.47028619576052, | |
1.653331477800469 | |
] | |
], | |
"r2": 0.01874037997060718, | |
"aic": 17.702155706475637, | |
"residuals": [ | |
-1.0969732690112064, | |
-1.6994972974978753, | |
-1.6159883183657069, | |
-0.8408910168413906, | |
-0.42269872066209313, | |
0.28165938976978655, | |
0.6717613904486681, | |
0.797943576733406, | |
1.0992241865326395, | |
1.3526228396235078, | |
1.6496238803088934, | |
1.7658755664539667, | |
1.8708294722787464, | |
2.0143575553593553, | |
2.0419825195122785, | |
1.6364648762530294, | |
0.4768379447716571, | |
0.9676915311904892, | |
0.644951703473347, | |
0.7365545005804801, | |
0.9012083590627968, | |
0.8535587163303013, | |
0.6110605715466448, | |
0.8059393554151812, | |
0.6827039529340606, | |
0.7809238659061775, | |
0.6747991375295639, | |
0.6754812119225413, | |
0.5139693759040549, | |
0.4179214420095123, | |
-0.16448755542360427, | |
-0.5391996532204564, | |
-0.8046399094816516, | |
-0.6535575215312752, | |
-0.6970815843806593, | |
-0.6592259058743535, | |
-0.7283202068592738, | |
-0.8438708218990745, | |
-0.6445313857920594, | |
-0.7409811560536528, | |
-1.074566547930052, | |
-1.3549320121904374, | |
-1.437372096923471, | |
-1.5059241188008543, | |
-1.5508064427742143 | |
] | |
}, | |
"original_regularized": { | |
"param_names": [ | |
"A", | |
"\u03bb", | |
"\u03b3", | |
"t0", | |
"K" | |
], | |
"popt": [ | |
4.239349020538786, | |
2.0676963661042036, | |
1.570005786652992e-05, | |
1.1266649962822948, | |
3.971129594391954 | |
], | |
"pcov": null, | |
"r2": 0.018740390046523503, | |
"aic": 17.702155244399925, | |
"residuals": [ | |
-1.0969732897689033, | |
-1.6994973190388114, | |
-1.6159883406788031, | |
-0.8408910406591179, | |
-0.4226987459228031, | |
0.2816593631357689, | |
0.6717613625166798, | |
0.797943547582487, | |
1.099224156243916, | |
1.3526228082788734, | |
1.649623847989937, | |
1.7658755332411067, | |
1.8708294382505466, | |
2.0143575205919886, | |
2.0419824840791163, | |
1.6364648402243365, | |
0.47683790821437544, | |
0.967691494168097, | |
0.6449516660457766, | |
0.7365544628040883, | |
0.9012083209903743, | |
0.8535586780111197, | |
0.6110605330265253, | |
0.8059393167365902, | |
0.6827039141362174, | |
0.7809238270251777, | |
0.6747990985985091, | |
0.6754811729716765, | |
0.5139693369609102, | |
0.41792140309904546, | |
-0.16448759427886284, | |
-0.5391996920002642, | |
-0.804639948167913, | |
-0.653557560107906, | |
-0.6970816228334495, | |
-0.6592259441908448, | |
-0.7283202450286312, | |
-0.8438708592191224, | |
-0.6445314221737344, | |
-0.7409811915033062, | |
-1.0745665825099922, | |
-1.354932045991688, | |
-1.4373721300478528, | |
-1.5059241513498423, | |
-1.550806475169468 | |
] | |
}, | |
"reparam": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
1135.161165862143, | |
-16827.68007607821, | |
4.706846606249981e-05, | |
2740572.59225099, | |
2.4551548232896465 | |
], | |
"pcov": [ | |
[ | |
8098.625014902949, | |
-120068.92031527324, | |
0.00019781970012268933, | |
-790.1389934242604, | |
3.664250538759866 | |
], | |
[ | |
-120068.92031527324, | |
1780122.68163079, | |
-0.0029331115388175023, | |
11714.474819582303, | |
-54.3563623935185 | |
], | |
[ | |
0.00019781970012268935, | |
-0.0029331115388175027, | |
8.708980555048641e-12, | |
-1.9301955019523675e-05, | |
3.927361522550091e-07 | |
], | |
[ | |
-790.1389934242605, | |
11714.474819582305, | |
-1.9301955019523675e-05, | |
77.08958585539096, | |
-0.3577027107761973 | |
], | |
[ | |
3.664250538759866, | |
-54.3563623935185, | |
3.9273615225500914e-07, | |
-0.3577027107761973, | |
0.030972086476859742 | |
] | |
], | |
"r2": 0.8995275915060619, | |
"aic": -84.85077093848477, | |
"residuals": [ | |
0.8853333787762523, | |
-0.1275023417078378, | |
-0.41733101568396513, | |
-0.2879951020306706, | |
-0.3961879573844733, | |
-0.11513290956094124, | |
-0.059577763533164685, | |
-0.19176624200317605, | |
-0.08371258160093653, | |
0.03194114048412633, | |
0.23823086564911833, | |
0.3034295043990358, | |
0.39056151835279707, | |
0.543908945746403, | |
0.6041430334450517, | |
0.24982356207970113, | |
-0.8436440748743408, | |
-0.27479435331149915, | |
-0.5103831911639514, | |
-0.3247686192946535, | |
-0.06119652476786008, | |
-0.006678684756835196, | |
-0.14515791601478778, | |
0.15441946970459597, | |
0.13558726430061974, | |
0.3371105703668391, | |
0.3325328527409521, | |
0.4324766626241159, | |
0.3675223739034781, | |
0.36500331617827353, | |
-0.1271491684126378, | |
-0.4150519648324207, | |
-0.59724658369199, | |
-0.3665494024567604, | |
-0.3341153760334965, | |
-0.2239497699423394, | |
-0.22434536626318824, | |
-0.047889156482590955, | |
0.36768864857382066, | |
0.42719584941977695, | |
0.2038973025354176, | |
0.0003363195924972473, | |
-0.029272490496645265, | |
-0.06185308175146531, | |
-0.09841609898309489 | |
] | |
}, | |
"reparam_hard_bounds": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
5.715996405263343, | |
-52.995281240539484, | |
3.034139592587715e-05, | |
9999.999999999995, | |
2.2149842627550624 | |
], | |
"pcov": [ | |
[ | |
15.115179488256546, | |
-160.995202359177, | |
2.5619055504352172e-05, | |
37883.642770856044, | |
0.7592153475792693 | |
], | |
[ | |
-160.99520235917697, | |
1715.0660591869118, | |
-0.0002725862944171537, | |
-404070.170487587, | |
-8.111541899211984 | |
], | |
[ | |
2.5619055504352172e-05, | |
-0.0002725862944171537, | |
5.030384094213779e-11, | |
0.06230188846239351, | |
1.8522538801270831e-06 | |
], | |
[ | |
37883.642770856044, | |
-404070.17048758705, | |
0.06230188846239351, | |
96573199.24116161, | |
1819.6198691816392 | |
], | |
[ | |
0.7592153475792693, | |
-8.111541899211984, | |
1.8522538801270831e-06, | |
1819.6198691816392, | |
0.09904254853532704 | |
] | |
], | |
"r2": 0.88025365443117, | |
"aic": -76.95360523456408, | |
"residuals": [ | |
1.0573924974590527, | |
-0.08011696942363189, | |
-0.45542484423992846, | |
-0.41621290609617434, | |
-0.5472557772414435, | |
-0.2525039976893977, | |
-0.16508161494546325, | |
-0.2583058299480463, | |
-0.11078910542909082, | |
0.04103404820939893, | |
0.27818747013625966, | |
0.3680635520064488, | |
0.4735185000381019, | |
0.6391033508774218, | |
0.7060137364825474, | |
0.3534686961382274, | |
-0.74241170456835, | |
-0.17944353074996577, | |
-0.4236932798920279, | |
-0.2488783194034596, | |
0.0023364633834948023, | |
0.04345573953397874, | |
-0.10901226154819188, | |
0.17637359029475252, | |
0.14347439599255196, | |
0.33132689583188757, | |
0.313695496180884, | |
0.4013781534032974, | |
0.32509023116193436, | |
0.31226456785450374, | |
-0.18909881231519599, | |
-0.48507461983475686, | |
-0.674184741961041, | |
-0.44924489853135174, | |
-0.4214251334437473, | |
-0.3147586813996659, | |
-0.3175766408305494, | |
-0.13888892088158133, | |
0.2973018700803083, | |
0.38839200198713053, | |
0.2015789710213589, | |
0.03509384515374592, | |
0.04043231549065318, | |
0.039189903296665385, | |
0.011216288691373588 | |
] | |
}, | |
"reparam_regularized": { | |
"param_names": [ | |
"A_1", | |
"A_2", | |
"\u03b2", | |
"\u03c40", | |
"K" | |
], | |
"popt": [ | |
18.77989458718111, | |
-200.57346620551246, | |
3.9461494812077224e-05, | |
42587.63724168164, | |
2.3968085728562576 | |
], | |
"pcov": null, | |
"r2": 0.8967241551337745, | |
"aic": -83.61235444437901, | |
"residuals": [ | |
0.9191330749302447, | |
-0.11363250333099728, | |
-0.4185909263396028, | |
-0.3081657131897928, | |
-0.424227681569775, | |
-0.14378102969853934, | |
-0.084341979961712, | |
-0.2101517390031269, | |
-0.0946372188951603, | |
0.028588062638046807, | |
0.2419190880667479, | |
0.3132329348359857, | |
0.4053377039570556, | |
0.5624282026921978, | |
0.6251791431651483, | |
0.27221529993402527, | |
-0.8209533733414052, | |
-0.2527335935236099, | |
-0.489742353282109, | |
-0.3061962772211029, | |
-0.045203477074949205, | |
0.00635426902919356, | |
-0.13534628688093875, | |
0.16085614773239598, | |
0.13859030013614237, | |
0.33670343922388835, | |
0.3288087565495337, | |
0.4255867150421775, | |
0.35766460215301876, | |
0.3524125939705556, | |
-0.14221020100652781, | |
-0.4323009817718755, | |
-0.6163886719411749, | |
-0.3872832196802638, | |
-0.35613842180272437, | |
-0.2469628344032131, | |
-0.24805622521712412, | |
-0.07112858462884919, | |
0.3500584696259752, | |
0.418216560258589, | |
0.2048395306812405, | |
0.011212463959981989, | |
-0.009221572399940037, | |
-0.03377737761063182, | |
-0.0681813328590466 | |
] | |
}, | |
"step2": { | |
"param_names": [ | |
"K", | |
"omega_n", | |
"zeta" | |
], | |
"popt": [ | |
4.295206047761873, | |
0.0019149838801846952, | |
1.9999999999904832 | |
], | |
"pcov": [ | |
[ | |
0.03276241015650158, | |
0.00015319481017730865, | |
0.20388202857395707 | |
], | |
[ | |
0.00015319481017730865, | |
5.939043906895873e-05, | |
0.06409958908381774 | |
], | |
[ | |
0.2038820285739571, | |
0.06409958908381774, | |
70.02447872277972 | |
] | |
], | |
"r2": 0.00578166405469327, | |
"aic": 14.292545064180011, | |
"residuals": [ | |
2.9233679771423335, | |
0.7994387341827138, | |
-0.2250597114953532, | |
-0.5078504817663663, | |
-0.4660552271819389, | |
0.10548689183729465, | |
0.4495101296464652, | |
0.5602184485057995, | |
0.8565796032363, | |
1.108485301188681, | |
1.4049161830004744, | |
1.5206680078619437, | |
1.624926326294153, | |
1.7675025787178251, | |
1.7939284527597472, | |
1.3869946648649867, | |
0.22576906648560158, | |
0.7148746319920676, | |
0.39026751695473827, | |
0.47991043982020365, | |
0.6425352475890902, | |
0.5928077976034771, | |
0.34820082224150983, | |
0.5409550895900672, | |
0.41559269288480394, | |
0.5116944535824164, | |
0.40347006158544385, | |
0.4020791275735647, | |
0.2385277969994899, | |
0.1404795868526989, | |
-0.4438857810376904, | |
-0.8205065505387754, | |
-1.0878047721270372, | |
-0.9385273234729077, | |
-0.9838015811328358, | |
-0.9476401584033489, | |
-1.0183720366839912, | |
-1.141259171235994, | |
-0.9479000346545732, | |
-1.0491268412951982, | |
-1.3864714877490556, | |
-1.6697616355304277, | |
-1.7544567363147294, | |
-1.8247349040393388, | |
-1.8700499312762773 | |
] | |
} | |
} | |
] |