JorgeeGF's picture
Replace dataset files
c4c539a
[
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1.5152253367863188e+35,
71.58271776102707,
4.350723866436626e-07,
0.9928069163087759,
147.02008975581487
],
"pcov": [
[
2.8315467853051893e-73,
-4.293067128925751e-38,
-7.528046915901129e-45,
2.7924384991824478e-40,
-2.117142147027041e-36
],
[
-4.293067128925751e-38,
0.006509038945715185,
1.1409863583062928e-09,
-4.232312570749313e-05,
0.3206987428365398
],
[
-7.528046915901129e-45,
1.140986358306293e-09,
2.5782717961749565e-16,
-7.801923360846737e-12,
5.7713322074401196e-08
],
[
2.7924384991824478e-40,
-4.232312570749313e-05,
-7.801923360846737e-12,
2.830427995597037e-07,
-0.0021422613547076603
],
[
-2.117142147027041e-36,
0.3206987428365398,
5.7713322074401196e-08,
-0.00214226135470766,
16.92077092307569
]
],
"r2": 0.9963736289438704,
"aic": 82.39210946404721,
"residuals": [
10.158793362717404,
1.2671471656158246,
0.5435616242834982,
-1.757630595467603,
-4.859809532579163,
-9.001309932425798,
-5.548169582362391,
-2.05534828352323,
-1.7715274773441934,
1.013091292813158,
2.608425153943273,
3.545801721097945,
1.9403937343348048,
4.370426539091426,
3.9735743458011257,
3.1386417714206516,
0.9573012008307558,
-1.582613477250817,
-2.9540096542145307,
-3.852172606482185,
-4.106437156000197,
-3.1525776901581537,
-1.3517914128456425,
1.3922236067308518,
2.230752555968195,
2.621839055021667,
2.2305395059932493
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
7871.083789684912,
2.649706032915386,
9.98976744747141e-06,
0.8411785972380289,
143.6778463009899
],
"pcov": null,
"r2": 0.9958465691215954,
"aic": 86.05607078667501,
"residuals": [
10.560447347416186,
1.476480673314569,
0.59664939245026,
-1.925442700497726,
-5.150397003449456,
-9.340787582464202,
-5.882420338438379,
-2.346260458246263,
-1.9938357080627327,
0.8744509577896338,
2.6521710322624017,
3.7582668407415554,
2.2844681854884072,
4.799096328270281,
4.438617771700422,
3.595914438840879,
1.2508634393402644,
-1.5555133879565233,
-3.187824360439123,
-4.273029034487877,
-4.609364746337519,
-3.6284504722935367,
-1.7037082300241764,
1.240918880096899,
2.334195506275364,
3.012867816721382,
2.711423550918397
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
68723.19678411927,
-1088911.4823434798,
3.1295643571059554e-05,
7592826.884074019,
147.02949314213666
],
"pcov": [
[
2566165.4590542414,
-40598928.376555204,
8.741186783400921e-05,
-6205911.686564452,
-2092.4375480841195
],
[
-40598928.376555204,
642309736.1756262,
-0.0013886195599890074,
98182825.43049394,
33084.121893282616
],
[
8.741186783400921e-05,
-0.0013886195599890074,
1.4120162011798872e-12,
-0.0002122597493283485,
4.2974451502084e-06
],
[
-6205911.686564451,
98182825.43049392,
-0.0002122597493283485,
15008128.736951057,
5057.217309520535
],
[
-2092.437548084119,
33084.121893282616,
4.2974451502084e-06,
5057.217309520535,
16.90864336300403
]
],
"r2": 0.9963745873219101,
"aic": 82.38497295579737,
"residuals": [
10.158424621463467,
1.266981470476054,
0.5435517968392389,
-1.7574493528890542,
-4.85956737783718,
-9.001105254711433,
-5.548074166380459,
-2.0554118074884684,
-1.7717814179456468,
1.0126302814569215,
2.607545175515668,
3.5445486836596274,
1.9388515178181933,
4.368696077594535,
3.971759212532419,
3.136838683558153,
0.9558609335263668,
-1.5834223942851224,
-2.9541552256321495,
-3.8517912816127478,
-4.105758610665163,
-3.1518628446249863,
-1.3512892558741214,
1.392301612226845,
2.2302442405670604,
2.62063364839193,
2.229110639704686
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
175.4706256690865,
-1727.2682452768445,
1.3074857548501741e-05,
9999.999999999998,
100.23564920912106
],
"pcov": [
[
2014.0711061313325,
-23605.12296379034,
0.00019299666371418547,
210886.90066824542,
1513.8156440417038
],
[
-23605.122963790338,
278278.8050866248,
-0.0023765169119811616,
-2486314.9133962286,
-19090.586001759457
],
[
0.00019299666371418547,
-0.0023765169119811616,
2.7264927683948446e-11,
0.020855489387231037,
0.00024463968465527106
],
[
210886.90066824545,
-2486314.913396229,
0.02085548938723104,
22537554.219287887,
167695.39777784943
],
[
1513.8156440417038,
-19090.586001759457,
0.0002446396846552711,
167695.39777784943,
2291.2419902658708
]
],
"r2": 0.9853858688515088,
"aic": 120.02353518862188,
"residuals": [
18.58212108315017,
5.117994372884553,
1.0045213417720333,
-5.50262500658873,
-10.484952173359716,
-15.05762683250174,
-11.147008536838214,
-6.675848603068175,
-5.137988414552211,
-0.9879383329219706,
3.2717190234634472,
6.429418200632028,
6.427746368282584,
9.82924273471329,
9.831537512046083,
8.916004982025356,
5.095798979552939,
-0.03485097069665244,
-3.9553090848764327,
-6.791756755967697,
-8.119442545300558,
-7.324677870292163,
-4.838365291777222,
-0.693817704434025,
2.108909429667449,
4.877710174189161,
5.259480246982321
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
375.11807697642723,
-4029.1772051431794,
2.1551752760558535e-05,
31796.528541616444,
135.83087751826207
],
"pcov": null,
"r2": 0.9939690924457422,
"aic": 96.1260662661721,
"residuals": [
12.14877400583299,
2.275877079591055,
0.7701572402819608,
-2.605940096071734,
-6.278747551307347,
-10.62831656697378,
-7.129583112633512,
-3.420910710074665,
-2.814495951947606,
0.35150428912214693,
2.7524669431835775,
4.41367755517382,
3.3630674630649082,
6.149463595661814,
5.914736239978879,
5.070135261054816,
2.322417297359067,
-1.1611289515783767,
-3.4667004035418927,
-5.059554685742825,
-5.668535828691233,
-4.716560217013608,
-2.6029017061513287,
0.7065137458538686,
2.29407854584926,
3.5525700160055464,
3.4358664552775053
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
186.02425887407918,
0.0001544918657108531,
0.777388717298638
],
"pcov": [
[
17.645901985778863,
1.171444092081274e-05,
0.2418769191341774
],
[
1.171444092081274e-05,
2.423289932450757e-10,
1.5616236970121692e-06
],
[
0.24187691913417733,
1.5616236970121692e-06,
0.015113322070316097
]
],
"r2": 0.9510695823055,
"aic": 148.65061313581506,
"residuals": [
7.693712711334208,
10.131544606850476,
16.59545237867075,
19.65281843296753,
14.354619780932033,
4.3840373683963065,
0.9711081077081047,
-1.8488730236257425,
-6.467554346781441,
-6.828258578653248,
-6.403512907885528,
-1.5221098211623314,
3.391055780905731,
12.803227499382047,
18.509890916273434,
22.256723575715597,
24.53673546459052,
19.335779739115424,
11.927066044035968,
3.853446636313862,
-3.6082832374400198,
-9.358418335635776,
-13.512647196178307,
-15.893954579954567,
-19.366388658351553,
-22.538877468631398,
-23.866702570521113
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
2.6452503814490536e+35,
72.21462550959203,
4.3034418282911153e-07,
0.9927835829306448,
137.87913984687486
],
"pcov": [
[
8.438979818508877e-74,
-2.238314654729855e-38,
-3.8534213507791856e-45,
1.4472644567530133e-40,
-1.0152101207449132e-36
],
[
-2.238314654729855e-38,
0.0059368483459135485,
1.02178831649363e-09,
-3.837573245772568e-05,
0.269065688809351
],
[
-3.853421350779186e-45,
1.02178831649363e-09,
2.259373609535206e-16,
-6.935640735509404e-12,
4.748596244895323e-08
],
[
1.4472644567530135e-40,
-3.837573245772569e-05,
-6.935640735509404e-12,
2.548631557049014e-07,
-0.0017855236762278398
],
[
-1.0152101207449132e-36,
0.269065688809351,
4.7485962448953224e-08,
-0.0017855236762278396,
13.050552415928404
]
],
"r2": 0.9968197616559626,
"aic": 75.13511498895615,
"residuals": [
9.778574910902137,
0.726105577158279,
0.5008074855013405,
-3.3218192945971765,
-6.170631593755829,
-6.015189206170874,
-2.6089638689452954,
-1.0577054654187066,
-1.5682259294298717,
0.9289350914025931,
1.739571679057093,
1.6325948553366914,
2.044230075804677,
2.4101894847376,
3.2621400699399885,
3.760926322800998,
0.4571053379505656,
-0.18421839739636425,
-1.3048012638035402,
-3.3558076032138615,
-4.692443141771548,
-3.3409544271204084,
-1.537876844421504,
0.46189987658993914,
2.627859288532761,
1.9568404233125989,
2.869891304043165
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
7504.092878520954,
2.676856319963429,
9.88009388686095e-06,
0.8405549002013916,
134.82818172319767
],
"pcov": null,
"r2": 0.99633392630754,
"aic": 78.97357284759238,
"residuals": [
10.155525077319083,
0.9255300459184923,
0.5557195329986229,
-3.4720262112456766,
-6.435934982786293,
-6.32765926144458,
-2.918708951810089,
-1.3294569018906515,
-1.7784680370040178,
0.7943701856417249,
1.7711825456197232,
1.819051271641456,
2.352453651883934,
2.7977491557093117,
3.685241105314958,
4.179288871323479,
0.7310811757677129,
-0.1504664301416483,
-1.508413750403804,
-3.7311429268794996,
-5.14486649443316,
-3.7714504117336105,
-1.8581174059258956,
0.3220924179570943,
2.7183034780839535,
2.3080063814761616,
3.3026416450643126
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
62842.98759459769,
-995109.8966272172,
3.122610109281293e-05,
7516650.0760026295,
137.88763878519126
],
"pcov": [
[
1927419.4170050293,
-30480130.488632035,
4.995611469331882e-05,
-4301012.150370124,
-1651.5673594379484
],
[
-30480130.48863203,
482011537.80246156,
-0.0007947232621236069,
68016030.34884037,
26102.448720179185
],
[
4.9956114693318815e-05,
-0.0007947232621236068,
1.2592787902912688e-12,
-0.00011213988879940116,
3.5668534378125143e-06
],
[
-4301012.150370123,
68016030.34884037,
-0.00011213988879940116,
9597654.872554626,
3683.2912024288107
],
[
-1651.5673594379482,
26102.44872017918,
3.5668534378125147e-06,
3683.2912024288107,
13.041166795827248
]
],
"r2": 0.9968206480838834,
"aic": 75.12758822920146,
"residuals": [
9.779022209682125,
0.7267184558209436,
0.5015435560659114,
-3.320945166117113,
-6.1697360986863,
-6.014360344920732,
-2.6082656083740403,
-1.0571817950869047,
-1.5679043849556678,
0.9290403781094483,
1.7392428858937024,
1.6318772669050077,
2.04320335445027,
2.408948730341848,
3.260782748591737,
3.7595436398812865,
0.4559757482445548,
-0.18483184652896512,
-1.304852721251848,
-3.355407114792996,
-4.691788467092721,
-3.340274559040182,
-1.5373924146302045,
0.4620003082742983,
2.62743039244657,
1.9557824397911645,
2.868631621529147
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
162.85592762633783,
-1604.1469038864902,
1.3001533371589745e-05,
9999.999999999998,
94.12977826145169
],
"pcov": [
[
1621.403856579949,
-19035.138026449313,
0.00016859703649136626,
183593.71444174263,
1240.852077410832
],
[
-19035.138026449316,
224845.52006863477,
-0.00208292119474728,
-2168864.098423363,
-15707.544607247146
],
[
0.00016859703649136626,
-0.00208292119474728,
2.5981188196602328e-11,
0.019743295631786086,
0.00021881199654269048
],
[
183593.71444174266,
-2168864.098423363,
0.019743295631786086,
21225201.644480478,
149063.94171469155
],
[
1240.8520774108322,
-15707.544607247146,
0.00021881199654269048,
149063.94171469155,
1922.4650760669422
]
],
"r2": 0.9863194499858928,
"aic": 114.52862723720128,
"residuals": [
17.670204806262575,
4.359464372854532,
0.9742320260890409,
-6.776755413349591,
-11.391392976910126,
-11.653018907901526,
-7.835349320950883,
-5.3858003636456,
-4.739084241932517,
-0.9786164527861274,
2.3034627140041835,
4.262385698218509,
6.171895107521777,
7.451294916640222,
8.686469365004086,
9.123115302009808,
4.325084527103456,
1.2954183732517208,
-2.185991131117504,
-6.039989491126505,
-8.382962338357686,
-7.192299511244698,
-4.766758954103267,
-1.4796746112504024,
2.499221654080941,
4.028135319210691,
5.657305710997633
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
342.05872334156896,
-3670.5102993133823,
2.1358201162577726e-05,
31157.819319998598,
127.19547569258827
],
"pcov": null,
"r2": 0.9944935096361436,
"aic": 89.95734056752622,
"residuals": [
11.706212094774969,
1.7108251230928744,
0.7336787472936805,
-4.123360663835612,
-7.52329502747628,
-7.571661021954952,
-4.126261075675544,
-2.3726521975498684,
-2.578362676307478,
0.2802599568693438,
1.8563263174990539,
2.438811512801493,
3.380561567001621,
4.088989029616926,
5.099426691458291,
5.593752032820106,
1.7631950607637634,
0.23387107769923432,
-1.7699429629490169,
-4.480898504568302,
-6.157925909369794,
-4.813893782723881,
-2.720326201398734,
-0.19021569548993966,
2.6812337516204536,
2.8293546765569317,
4.002081571322151
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
174.03839089703135,
0.00015998930161329234,
0.8191787749978406
],
"pcov": [
[
14.947581508961653,
1.2135183739817508e-05,
0.2359335958152127
],
[
1.2135183739817508e-05,
2.990553510240461e-10,
1.930312049189795e-06
],
[
0.2359335958152127,
1.930312049189795e-06,
0.017816974210990332
]
],
"r2": 0.9526999223528487,
"aic": 144.02312137692036,
"residuals": [
7.611604213714639,
8.927419767911886,
15.044655132832826,
15.403546543664483,
9.925732723657632,
4.457847632789651,
1.6443469548098335,
-2.2428504032073704,
-6.737624241584911,
-6.560504038541069,
-5.848356533614492,
-1.8147098201237952,
4.640883401044363,
11.17651536029436,
17.2738879785706,
21.636662335557162,
21.967631548416904,
18.86813003089523,
12.292964561476225,
3.700033103215759,
-4.254210040508241,
-9.080952537272196,
-12.776907796174356,
-15.516729240515303,
-17.342224228440386,
-21.316464532364847,
-21.272138262947493
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1.9339297601223568e+32,
65.39316600513084,
5.061843312474498e-07,
0.9897855849174316,
150.22740730172524
],
"pcov": [
[
4.167164359667282e-67,
-8.115611693441592e-35,
-1.450274694557294e-41,
6.1124896791163516e-37,
-2.5961114386333483e-33
],
[
-8.11561169344159e-35,
0.015805361407242462,
2.8242626442537235e-09,
-0.00011902086782043233,
0.5052305914903392
],
[
-1.450274694557294e-41,
2.8242626442537235e-09,
6.477554782107094e-16,
-2.207320149439948e-11,
9.101518591279179e-08
],
[
6.112489679116351e-37,
-0.00011902086782043233,
-2.207320149439948e-11,
9.121813514709033e-07,
-0.003890013440798451
],
[
-2.596111438633348e-33,
0.5052305914903392,
9.101518591279178e-08,
-0.003890013440798451,
17.61963798970736
]
],
"r2": 0.9946036317783459,
"aic": 90.15535644520595,
"residuals": [
11.402368905704265,
0.18162544809607084,
0.10405312731785443,
-3.1853380930370037,
-5.845326640108297,
-6.620154625476118,
-4.459836952807279,
-1.639774542705723,
-0.5670301066573558,
0.14113006596048194,
2.533820431674343,
1.6242656385815906,
-3.0288587768385753,
6.461394663914717,
8.526572299283941,
4.30624856572345,
1.225013564343726,
-4.837953473123463,
-1.5615898820126404,
-6.261133519056784,
-4.381995656733579,
-3.603271464305408,
1.2232072309661532,
-0.5801373562533456,
4.6220054460071935,
1.00155458041678,
3.2138203242185455
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
7545.851876980519,
2.9113128654017935,
9.746909055589018e-06,
0.8085490237312617,
148.0434187162987
],
"pcov": null,
"r2": 0.9940970290488832,
"aic": 92.57805563032046,
"residuals": [
11.720953221220924,
0.3386235668845927,
0.13107971687121278,
-3.338569468871029,
-6.094302947320799,
-6.902145527947212,
-4.729706704677568,
-1.8664847961816236,
-0.7307275512147555,
0.05153133013396882,
2.600251391377668,
1.8295183097409335,
-2.7202284055885855,
6.831329693263882,
8.916322003933402,
4.679084425000127,
1.4417102279820995,
-4.848799067809011,
-1.7820716370356138,
-6.621939638774506,
-4.794472750123532,
-3.9808671973335947,
0.9531412686635576,
-0.6886918214250386,
4.7099834930970985,
1.3042879018501878,
3.582414411234197
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
50062.513484887066,
-785820.2465945579,
3.3278557966860834e-05,
6541646.506593944,
150.23552082359845
],
"pcov": [
[
2783986.3151696334,
-43647460.4437036,
-0.00024937432335366325,
-5589316.078036012,
-3134.323688596572
],
[
-43647460.44370359,
684306845.2928724,
0.003901152697265942,
87629548.50385873,
49119.870766269916
],
[
-0.0002493743233536632,
0.003901152697265942,
3.0043827686726917e-12,
0.0004995698977537078,
6.249907585858995e-06
],
[
-5589316.078036012,
87629548.50385873,
0.0004995698977537079,
11221483.204232583,
6290.100505744291
],
[
-3134.323688596572,
49119.870766269916,
6.2499075858589956e-06,
6290.10050574429,
17.605923720296932
]
],
"r2": 0.9946048691887193,
"aic": 90.14916451948254,
"residuals": [
11.40240752071088,
0.18187346162449103,
0.10445714603858391,
-3.1847573576141173,
-5.84471319509467,
-6.619615187931956,
-4.459447348728844,
-1.639585232163327,
-0.5670709385476869,
0.14084577782040242,
2.5330585518310045,
1.623093805678991,
-3.0303353262155497,
6.459732682320805,
8.524842536255647,
4.304557185463807,
1.22376460604616,
-4.838509805058379,
-1.561463422097944,
-6.260503653827158,
-4.381123135000536,
-3.6024316238791982,
1.2237669740934223,
-0.5800551534736655,
4.621469885510265,
1.0003160429800744,
3.2123616344941297
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
154.06460531631583,
-1551.5956199225443,
1.4821283071786224e-05,
9999.999999999998,
121.49516162291455
],
"pcov": [
[
1881.9892367587036,
-21747.074748536303,
0.00021978938844099307,
229981.83038236987,
1020.1993482111883
],
[
-21747.074748536303,
252428.90982523235,
-0.0026564918843074645,
-2675361.660178775,
-12639.314767640039
],
[
0.00021978938844099307,
-0.0026564918843074645,
3.9049190587066955e-11,
0.02813289768161008,
0.00021216630106798918
],
[
229981.83038236987,
-2675361.660178775,
0.02813289768161008,
28743281.095283188,
135290.27725953815
],
[
1020.1993482111883,
-12639.314767640039,
0.00021216630106798918,
135290.27725953815,
1217.5357407795218
]
],
"r2": 0.9847189963604509,
"aic": 118.25923224921677,
"residuals": [
18.5447395777842,
3.3545305137340193,
0.35221735614204874,
-6.52256924319552,
-10.734975055610477,
-11.808199472833195,
-9.187547226384979,
-5.471477241034108,
-3.280698282571521,
-1.3742408597433098,
3.315631391055007,
4.277937656379038,
0.9399311551846097,
11.190393583156776,
13.524548599219742,
9.170234474379981,
4.589600091008322,
-3.6798855189655058,
-2.493086828661177,
-8.725227100265215,
-7.651310422039614,
-6.945407188372428,
-1.543574965403451,
-2.246750987334451,
4.448363044270138,
2.589985708966367,
5.366825817524813
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
315.6652387069846,
-3409.0642787194897,
2.3245645864323207e-05,
30597.925736732235,
142.95580679424867
],
"pcov": null,
"r2": 0.9922652151548572,
"aic": 99.87539673254626,
"residuals": [
13.1326024565831,
1.0271513791839766,
0.25021596301178306,
-3.985830317516971,
-7.131297727709338,
-8.064581238129847,
-5.83766598663297,
-2.8031685498582988,
-1.426244562497402,
-0.3674398589252519,
2.747689789702349,
2.4691826326825037,
-1.7153803988469747,
8.061297833877859,
10.239946688218055,
5.984152177987454,
2.3631824218759903,
-4.525867490259401,
-2.032569787694854,
-7.291111508064773,
-5.679581171251215,
-4.881603762755304,
0.20824536459716114,
-1.1455952111325018,
4.6329483124112585,
1.662808692504342,
4.077810372239753
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
176.17738032034356,
0.0001598537910099604,
0.8730137486006502
],
"pcov": [
[
9.824577146792047,
8.470726567745454e-06,
0.16569550448071493
],
[
8.470726567745454e-06,
2.2192782975660487e-10,
1.5007320945511153e-06
],
[
0.16569550448071493,
1.5007320945511153e-06,
0.013904550106103447
]
],
"r2": 0.9706741581123766,
"aic": 131.8594154806147,
"residuals": [
7.431735515594482,
6.609277488689745,
12.904377507196447,
13.994503722594917,
9.129204722350082,
3.298359991274097,
-0.18049086915397083,
-2.3219273288647315,
-4.93833623794481,
-6.472495802980518,
-4.645626545039846,
-2.4662999341237537,
-2.3402526003497144,
12.145764418735723,
18.548999313771446,
17.61171353518239,
17.94982969724174,
10.269940961622893,
9.349771387850438,
-0.4942923538354762,
-3.8112813412072057,
-7.832203309920629,
-7.215425075496199,
-12.587315893826457,
-10.337785192410223,
-16.357328295241075,
-14.768185987513164
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1378.46610647932,
7.426770445866771,
2.632941092987757e-06,
0.05207174538442449,
2666.558557039737
],
"pcov": [
[
875284283.644462,
-17360191.320167717,
5.029072105486525,
111026.1597804478,
-19748566.210160993
],
[
-17360191.320167717,
344882.65474687406,
-0.09989460172797944,
-2204.1325198076584,
390945.02648683934
],
[
5.029072105486525,
-0.09989460172797944,
2.8934686930476992e-08,
0.0006384622569025308,
-0.11328092002693382
],
[
111026.1597804478,
-2204.1325198076584,
0.0006384622569025308,
14.09075947077786,
-2502.361193099851
],
[
-19748566.210160993,
390945.02648683934,
-0.11328092002693384,
-2502.361193099851,
449742.4151224526
]
],
"r2": 0.9881712482157843,
"aic": 258.59111624599296,
"residuals": [
108.43932866758541,
10.175431566779025,
-68.11029863433942,
-90.48726124653786,
-33.540877306072616,
3.0466160300929914,
-3.5363411675582483,
72.45204788270098,
-36.7594090092432,
-34.71354153193283,
-48.866100819131134,
-105.14430299544324,
422.66183134095627,
4.5198327828948095,
-43.91132752163276,
-29.462331446050484,
-69.5508678094584,
-49.429598964179604,
-29.794481076291504,
-146.1923491176185,
83.27856455323172,
6.512026389366383,
39.019032930135836,
23.62597197097648,
40.72090999415332,
-10.496212900477985,
-14.441663676025655
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
2344.19139233412,
5.695015576763219,
3.561131462435925e-06,
0.11151707568319069,
2639.639546216214
],
"pcov": null,
"r2": 0.9880587812849314,
"aic": 258.84661759744955,
"residuals": [
93.05219238556583,
0.6982361242507977,
-72.78024058958772,
-88.18762660743823,
-26.947774702249262,
12.017014765297063,
6.442504397315815,
82.46945331068287,
-27.379850374647503,
-26.430947079534235,
-43.55001454629155,
-103.16999267749293,
421.3875153078104,
0.33546961222782556,
-50.5518131580925,
-38.065757215736994,
-80.99214693934209,
-61.25454287324192,
-40.27791640582609,
-154.24760818456298,
78.25021265603209,
4.762069912557763,
40.56478237326564,
28.335406174090622,
48.37375819377485,
-0.16588889866261525,
-3.363044503884794
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
936.4814857201837,
-12030.806672557843,
1.9549970465922042e-05,
19772.304049202856,
2666.569602581387
],
"pcov": [
[
509199734.43905026,
-5179805577.424442,
-6.369971623533242,
3331578243.3163605,
-15037629.282232145
],
[
-5179805577.424442,
52691849235.94481,
64.79151761939423,
-33903689802.37879,
153000827.43256703
],
[
-6.369971623533243,
64.79151761939423,
7.977030986964357e-08,
-41.51909064142602,
0.18762508699244324
],
[
3331578243.316361,
-33903689802.378796,
-41.51909064142602,
22115585946.85016,
-99190043.05962902
],
[
-15037629.282232145,
153000827.432567,
0.1876250869924432,
-99190043.05962901,
449568.70634618064
]
],
"r2": 0.9881712481972841,
"aic": 258.5911162882211,
"residuals": [
108.45211020727584,
10.182813218332285,
-68.10726079569031,
-90.49042224026925,
-33.54776810219255,
3.037725096387021,
-3.5460211975116636,
72.44242018773139,
-36.768409532591704,
-34.721533991910064,
-48.87146397902802,
-105.14678017846359,
422.66210661234936,
4.522531288027039,
-43.90661979489846,
-29.45604992842368,
-69.5424194553234,
-49.420999269112144,
-29.787065819344207,
-146.18688788379177,
83.28171672346161,
6.512795085132893,
39.01752054329836,
23.62238239861199,
40.71549654221462,
-10.503182022738201,
-14.449047820257874
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1393.1922186024524,
-9999.999981378898,
1.1249806208748453e-06,
9999.999999999998,
-3005.654480231606
],
"pcov": [
[
64800282.961491354,
5049827558.413097,
-0.8860871278504533,
208872099.79656482,
-5675545318.313874
],
[
5049827558.413096,
394232172991.65704,
-69.17173686546164,
16202843899.718098,
-442984543909.5533
],
[
-0.8860871278504532,
-69.17173686546165,
1.2136867392620853e-08,
-2.8435759354254984,
77.72631373740963
],
[
208872099.79656482,
16202843899.7181,
-2.8435759354254984,
681944286.1982838,
-18220772060.09379
],
[
-5675545318.313874,
-442984543909.5533,
77.72631373740963,
-18220772060.09379,
497779032826.7508
]
],
"r2": 0.9869062768059746,
"aic": 261.3343111216216,
"residuals": [
181.80489484326472,
52.964654039205925,
-48.94694975439006,
-103.38890096165369,
-64.56400474042675,
-37.06349341663281,
-46.794348143299885,
29.95862752308949,
-75.9401388090032,
-68.97106403721955,
-70.86662584689338,
-114.10383758608123,
425.9242042651417,
18.427315070404347,
-21.2390040283467,
0.03934092854296978,
-30.75711465251743,
-10.241088087176195,
3.8203896170130065,
-121.59851925110206,
97.36947982272841,
10.074531832351113,
33.066975266527606,
9.887242080933447,
21.390423838810875,
-32.940706315647276,
-37.31229286784628
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1873.510603586777,
-4997.700693848588,
6.8861570569966e-07,
15439.144739546355,
-13190.879195624786
],
"pcov": null,
"r2": 0.9877974639970837,
"aic": 259.4311035138812,
"residuals": [
127.12940339803754,
19.24051380589117,
-66.45876235064134,
-98.59390612155403,
-46.55253088404061,
-11.630344135297491,
-17.738233020434564,
60.102956765264025,
-46.41364730580608,
-41.209889772870156,
-48.65372916375236,
-98.69519864050744,
434.2515502738552,
19.912037010255517,
-26.086629348033966,
-10.492668672584841,
-52.35879738028598,
-38.47459849963889,
-27.0165463084777,
-151.50715057641355,
71.45844323123492,
-9.169660980045592,
22.8212107206582,
10.688380312984009,
35.04936617378735,
-4.81327033769594,
-4.55629125185078
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2610.103300749838,
0.00013134126073110423,
1.990443940634623
],
"pcov": [
[
2552.076144672078,
0.000438574178786754,
11.331927275068413
],
[
0.000438574178786754,
7.87434865585707e-10,
1.3344067565316936e-05
],
[
11.331927275068411,
1.3344067565316934e-05,
0.23769370718032362
]
],
"r2": 0.9867484764255539,
"aic": 257.65775931415544,
"residuals": [
7.9249701499938965,
-10.489454087846092,
-40.81714966318525,
-19.550508175631194,
47.85389459930667,
81.50590774676607,
66.47278409558169,
131.77103327221357,
11.085233378605267,
1.5803854884268276,
-34.54649659650818,
-110.23587034237448,
401.23752385459034,
-30.07781412035615,
-88.66632106943302,
-81.61797598899534,
-130.22568480208292,
-108.27192176011886,
-80.57617431014432,
-185.7020183757504,
56.221150642007615,
-8.186943149667968,
35.84991548964217,
30.787690744342854,
56.87875248214368,
13.330603870585037,
11.43897263838835
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1188.2235714817145,
2.214294910372449,
5.093715827936913e-06,
0.05386246184465731,
2962.8202908624576
],
"pcov": [
[
20811588.188322924,
-213829.43574595154,
0.3138334712104475,
3740.6914391763307,
-9318915.062280474
],
[
-213829.43574595154,
2208.935155537601,
-0.003238592041573504,
-38.512388779751376,
95994.18586895376
],
[
0.3138334712104475,
-0.003238592041573504,
4.74935244170559e-09,
5.650186409564201e-05,
-0.14084284025940985
],
[
3740.6914391763307,
-38.512388779751376,
5.650186409564201e-05,
0.6728796907753849,
-1676.7367407308102
],
[
-9318915.062280474,
95994.18586895378,
-0.14084284025940985,
-1676.7367407308102,
4182363.1614503195
]
],
"r2": 0.990202804917058,
"aic": 257.8910962943828,
"residuals": [
126.989880878245,
-1.7647963298268223,
-99.08122402639174,
-101.5171478633938,
-35.931351533589805,
5.382339002082972,
9.836034145487247,
81.50329167278505,
-28.618208269691877,
-22.340477787815644,
-36.35881842056847,
-75.77636486305596,
413.8596911604475,
-12.555820709402497,
-56.55085658374719,
-40.23297039096906,
-61.797470593327034,
-47.261311607695916,
-39.24154088170508,
-131.55178851554274,
70.37003683074454,
4.152047197067532,
29.09340998136713,
26.426680152364952,
41.25347359025773,
-7.761881965839166,
-10.503830371197182
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1175.7052104641732,
2.368438981554267,
4.881568074835754e-06,
0.05150789062521624,
2968.98022343685
],
"pcov": null,
"r2": 0.9902026455442238,
"aic": 257.8915355049415,
"residuals": [
126.58996240874922,
-2.0111776908006505,
-99.20223015308011,
-101.45530049855188,
-35.75535531268906,
5.623444296366415,
10.107342173649158,
81.78013087678869,
-28.353033633267614,
-22.098662214940077,
-36.183576616159144,
-75.67775224404477,
413.8833249549714,
-12.599412870819378,
-56.65109904112569,
-40.378401374230634,
-62.00887916810552,
-47.486510748255114,
-39.44993959885869,
-131.73195214135376,
70.21480423077082,
4.008094130339032,
28.940475456789045,
26.240853395066097,
41.00943093605565,
-8.08925195317579,
-10.86091686492773
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1694.0522184033603,
775562.7582843805,
1.2141572384419603e-08,
11373.16422978061,
-791510.8401091421
],
"pcov": [
[
128428.8147640998,
-690823.8607073412,
1.5595208118649164e-06,
1317955.6970139367,
-690813.1686403842
],
[
-690823.8607073412,
3717675.2930333917,
-8.352549172452361e-06,
-7122636.969729214,
3717617.612960092
],
[
1.5595208118649162e-06,
-8.352549172452361e-06,
1.9864974745877943e-17,
1.532882977418553e-05,
-8.352422734196724e-06
],
[
1317955.6970139367,
-7122636.969729212,
1.532882977418553e-05,
14280513.465705594,
-7122523.490847813
],
[
-690813.1686403842,
3717617.612960092,
-8.352422734196724e-06,
-7122523.490847813,
3717559.9337956137
]
],
"r2": 0.9901823708675521,
"aic": 257.9473516582026,
"residuals": [
136.19874757458456,
3.073687836760655,
-97.7353577647591,
-105.03647187445313,
-42.17511472781189,
-2.0708796166582033,
2.2342979684472084,
74.48324049660005,
-34.568760730559006,
-26.912322776857764,
-37.73951098474208,
-73.91728450125083,
418.6349570287857,
-5.374439745093696,
-47.550388167845085,
-30.012139719328843,
-50.915212270687334,
-38.37794545153156,
-33.960911635658704,
-130.49414207821246,
67.4161888823146,
-1.9314211015589535,
21.28554911480751,
18.697033389937133,
35.69737509009428,
-8.841753884917125,
-9.769554028869607
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1512.8700761531068,
-7492.097496559997,
7.448282625352752e-07,
9991.522659885408,
-6579.55599881989
],
"pcov": [
[
70769362.11317722,
12026363750.44291,
-0.8385919549087275,
228379828.4198725,
-12712320005.809277
],
[
12026363750.44291,
2046488803894.54,
-142.70312088101284,
38687158388.88521,
-2163041840454.5925
],
[
-0.8385919549087275,
-142.70312088101284,
9.950798141007726e-09,
-2.6975680253441876,
150.83029175850035
],
[
228379828.4198725,
38687158388.885216,
-2.6975680253441876,
743141206.8493985,
-40901602328.10211
],
[
-12712320005.809278,
-2163041840454.5925,
150.83029175850038,
-40901602328.10211,
2286243847998.5054
]
],
"r2": 0.9901050151758262,
"aic": 258.15925804486307,
"residuals": [
147.77886628999659,
8.401254278951455,
-96.99816593737978,
-110.11345672859352,
-50.22167444232218,
-11.402443014751043,
-7.356251822935519,
65.26673388635754,
-43.02180090855654,
-34.36794499862026,
-42.86998383350874,
-76.62694832437046,
418.2310529250399,
-3.6809010843380747,
-44.00474986269637,
-24.869134133029547,
-42.851013247423,
-28.765402063944748,
-23.966036162980345,
-121.10925077186494,
75.33379437480198,
3.7643180805016527,
24.082707455440868,
17.978083183651506,
30.88999959892044,
-18.27515011680498,
-20.69140917427376
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1625.3082575961866,
-7248.337042390878,
7.451146973424036e-07,
11151.455403957947,
-8027.246019950175
],
"pcov": null,
"r2": 0.9901710548059418,
"aic": 257.9784546578592,
"residuals": [
137.6973560006245,
4.132780107168401,
-96.98886645017592,
-104.67671188663917,
-42.02163253336403,
-2.033436744048231,
2.200039388060759,
74.39779410953088,
-34.69720778411465,
-27.08174160150338,
-37.99413472102242,
-74.26343235815148,
418.1956226242746,
-5.9022844775281555,
-48.156557803418764,
-30.68239212645858,
-51.669118828778664,
-39.101226223538106,
-34.554265288805254,
-130.88645626031757,
67.2623860936219,
-1.844280922168764,
21.581681081914212,
19.137480493935072,
36.186829713517,
-8.426997587854203,
-9.405300872904263
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2898.074912198774,
0.00013214552251053732,
1.9925868821349442
],
"pcov": [
[
3508.6648360525874,
0.0005482491038860993,
14.073098924917153
],
[
0.0005482491038860993,
9.027009543878372e-10,
1.5207455385492975e-05
],
[
14.07309892491715,
1.5207455385492976e-05,
0.2691712067248376
]
],
"r2": 0.9843784060574051,
"aic": 266.4881637929692,
"residuals": [
8.890655517578125,
-12.441339453184959,
-42.81354906386552,
19.993297703297543,
104.59948980282087,
144.1974718271116,
137.08454620805207,
192.3484759930093,
63.5235259421637,
50.210320789284424,
-2.5556417677964873,
-77.42000372779216,
381.5952723076823,
-70.14152050824305,
-134.2294715192504,
-133.1285752082449,
-174.7054262041279,
-160.9880079830191,
-141.72247229880213,
-216.0747287350914,
6.804903952051518,
-37.88194172117073,
7.674085922359154,
23.867307137401895,
55.39780192615035,
20.810158764965763,
21.95761754597288
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1462.4798126043722,
6.40046924065056e-23,
1598150120621100.2,
1.5074599115189903e+19,
-64636.66898001729
],
"pcov": [
[
2.674736496095998e-94,
-3.784313273657012e-71,
2.348476412989958e-108,
1.5873612347054806e-112,
5.894651843767446e-96
],
[
-3.784313273657012e-71,
5.3541823555626454e-48,
-3.322708788518109e-85,
-2.2458556943281547e-89,
-8.339965169845764e-73
],
[
2.348476412989958e-108,
-3.322708788518109e-85,
2.0620130134016135e-122,
1.3937374481716582e-126,
5.1756316325295195e-110
],
[
1.5873612347054806e-112,
-2.2458556943281547e-89,
1.3937374481716582e-126,
9.42042587418777e-131,
3.4982667797515276e-114
],
[
5.894651843767446e-96,
-8.339965169845764e-73,
5.175631632529519e-110,
3.4982667797515276e-114,
1.2990782609781184e-97
]
],
"r2": 0.9920767400477142,
"aic": 251.78143029044676,
"residuals": [
125.11896864854498,
-14.89977540752443,
-109.68197088339366,
-80.81524665945471,
-22.83957546014426,
3.602830688934773,
21.05153155255539,
75.69287168666779,
-26.717025026824558,
-16.21994697386981,
-33.83385455653479,
-58.627941647631815,
360.7254698177421,
-24.905891630929545,
-67.99533042880648,
-38.69455685948196,
-48.51603274277295,
-29.364889423377463,
-30.565140831211465,
-112.94567677538726,
71.42944690056902,
17.499568848172203,
27.136104030170827,
22.420527526235674,
33.52685374766588,
-17.816857879573945,
-23.764452906267252
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1190.3516672742335,
0.504056982167176,
9.802946401015072e-06,
0.08277007809027954,
2729.487003085996
],
"pcov": null,
"r2": 0.9919928379480518,
"aic": 252.06583928311335,
"residuals": [
123.9090570735716,
-16.685509139313126,
-111.48547042091604,
-81.89184284805788,
-22.90175371766327,
4.472012994676561,
22.647451791506,
77.78800214336911,
-24.334274152459784,
-13.731508448255909,
-31.55104702005724,
-56.91714838090047,
361.67484613930515,
-24.783138492242188,
-68.68095443073571,
-40.11650237440517,
-51.28474061578936,
-32.68265418037845,
-33.71745420018533,
-115.40472780338177,
69.97371790368788,
17.140783921349794,
27.76683905238542,
23.75315440839495,
35.11570027305197,
-16.55399048651816,
-22.730821096120053
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1469.3310813917117,
854848.3945628697,
8.138349237180023e-09,
9461.367298683248,
-868416.5336791795
],
"pcov": [
[
71959.17877865321,
-383300.23373496346,
8.543150029154504e-07,
755833.4072922769,
-383296.50789554295
],
[
-383300.23373496346,
2042836.2003017734,
-4.52802204597816e-06,
-4048014.59650557,
2042816.2802358137
],
[
8.543150029154504e-07,
-4.52802204597816e-06,
1.0697156225834706e-17,
8.557089931969179e-06,
-4.527979215820529e-06
],
[
755833.407292277,
-4048014.5965055707,
8.557089931969179e-06,
8448568.01965769,
-4047973.7622548155
],
[
-383296.507895543,
2042816.280235814,
-4.527979215820529e-06,
-4047973.7622548155,
2042796.3603684367
]
],
"r2": 0.9920789871457193,
"aic": 251.7737717948776,
"residuals": [
125.0618371150922,
-14.9067851328291,
-109.66216702305246,
-80.78101066593081,
-22.815916019375436,
3.6071415941696614,
21.035030442872085,
75.65735389397014,
-26.768433760269545,
-16.28373120946344,
-33.912328304955736,
-58.7099344470771,
360.6480987316463,
-24.97317811078392,
-68.04920932720415,
-38.733342797495425,
-48.51694482867606,
-29.335665423539467,
-30.517937070224434,
-112.89338382601272,
71.47510036441963,
17.528971141204238,
27.142209457000718,
22.399028524407186,
33.47620059817564,
-17.89552046044264,
-23.85090505098924
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1428.4441209390661,
-3171.955406211862,
4.807347779633047e-07,
9316.204681237017,
-9999.999914378237
],
"pcov": [
[
20769404.891398147,
7223500961.586084,
-0.2425927101554005,
77212266.3532663,
-7424965696.8103895
],
[
7223500961.586084,
2520161747464.096,
-84.64469261668785,
26689279410.520386,
-2590207946675.1543
],
[
-0.2425927101554005,
-84.64469261668785,
2.8429725327873014e-09,
-0.8961852469047051,
86.9970910618781
],
[
77212266.3532663,
26689279410.520386,
-0.8961852469047052,
290989970.72358984,
-27438751685.853363
],
[
-7424965696.81039,
-2590207946675.155,
86.9970910618781,
-27438751685.853363,
2662208435687.6274
]
],
"r2": 0.9920679949072752,
"aic": 251.81121456906052,
"residuals": [
125.28303681402758,
-14.951186208052604,
-109.85155346501779,
-81.05676159514951,
-23.046844689086356,
3.4685425933839724,
20.99845296089734,
75.71547640785684,
-26.630027093628087,
-16.08169659863961,
-33.631346349375235,
-58.404032868829745,
360.93936006807417,
-24.723200843285667,
-67.85681546172054,
-38.60692422371358,
-48.55743814782909,
-29.508246872726886,
-30.76762127310576,
-113.16294255027424,
71.23600485425959,
17.35926894399927,
27.067379823947704,
22.430402379324732,
33.61099745705724,
-17.673760808977022,
-23.608235177574898
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1421.8141231621125,
-4887.702172816741,
5.469141535289742e-07,
9271.862224582646,
-8217.964113492291
],
"pcov": null,
"r2": 0.9920663825983377,
"aic": 251.81670220012924,
"residuals": [
126.37252086936587,
-14.156276878085919,
-109.27986654576125,
-80.79156106917617,
-22.972804202165207,
3.4189341500659793,
20.866816337267664,
75.52851593800915,
-26.854622138931518,
-16.33189549170129,
-33.91007558714591,
-58.69360622579006,
360.64863783018336,
-25.00935552815099,
-68.13475772489619,
-38.87413008720614,
-48.7903070553275,
-29.69923382838897,
-30.91138982816119,
-113.25593050953103,
71.19556166469738,
17.37127669635447,
27.129872255854934,
22.539573752568685,
33.76126933507294,
-17.489652186044623,
-23.41563191307614
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2837.5472668509697,
0.00013958468039851506,
1.9999999999999831
],
"pcov": [
[
3458.531561145098,
0.0005941422045404323,
14.361646202598825
],
[
0.0005941422045404323,
1.1744207947251604e-09,
1.8667921110479465e-05
],
[
14.361646202598825,
1.8667921110479465e-05,
0.31076852626632173
]
],
"r2": 0.983007249876861,
"aic": 268.38199986926867,
"residuals": [
8.607903480530416,
-13.908611875913842,
-36.76720911620963,
59.961879604530765,
135.27251005519565,
156.4733724809853,
157.92238928789948,
191.31139876326017,
65.25575726266175,
51.351774094467146,
-13.667699112215132,
-80.79759093597863,
303.00489717628716,
-110.97191943489202,
-175.4360416523216,
-161.09769090118425,
-184.95622687407467,
-155.347766824857,
-131.01888941601828,
-179.7934257168099,
41.40292612990879,
24.2849654570432,
68.68135373444602,
95.45338661444475,
134.11201441193134,
106.09012939283639,
106.30086209203137
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1323.728488486506,
2.7972376277491788e-21,
32204958649013.5,
3.1105573126586336e+17,
-53371.30925975013
],
"pcov": [
[
2.1911230664360073e-87,
-5.694226167530232e-66,
1.0371231341236648e-99,
6.470623846711885e-104,
5.275489141701774e-89
],
[
-5.694226167530232e-66,
1.4797987453861252e-44,
-2.6952450913146438e-78,
-1.681566690278281e-82,
-1.3709785989365455e-67
],
[
1.0371231341236648e-99,
-2.6952450913146438e-78,
4.909009502072655e-112,
3.062736998407272e-116,
2.4970445140612547e-101
],
[
6.470623846711884e-104,
-1.6815666902782808e-82,
3.062736998407272e-116,
1.9108453380365762e-120,
1.5579091090893804e-105
],
[
5.275489141701774e-89,
-1.3709785989365455e-67,
2.4970445140612547e-101,
1.5579091090893806e-105,
1.2701607732824317e-90
]
],
"r2": 0.9931482529241524,
"aic": 244.99592556280558,
"residuals": [
107.130627087834,
-16.012816733273212,
-94.03268052505882,
-65.4752341582207,
-16.37922521091241,
2.59477839358442,
22.150384068278072,
65.62020126784773,
-24.0099891053178,
-16.85137484572624,
-34.36372524980834,
-54.83925611228915,
312.43295193614176,
-23.71026049899956,
-59.650767561899556,
-24.743275776512746,
-37.53823242956423,
-31.70690145077242,
-27.909174936430645,
-112.0136042603408,
73.67267101666948,
13.893919077527244,
33.4045236839811,
25.632058876282827,
30.726371882374224,
-16.49816401368298,
-31.23108103555569
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1098.0253181975968,
0.40466197726105574,
9.04375921687826e-06,
0.07742663834955882,
2622.334806605106
],
"pcov": null,
"r2": 0.9930745682636442,
"aic": 245.28473720277188,
"residuals": [
107.80375578708163,
-16.92703920103395,
-95.73722351573906,
-67.45895859409666,
-17.85027235526968,
1.881693246039049,
22.203913172240846,
66.349208096045,
-22.73307852155972,
-15.160697002972938,
-32.212796907714846,
-52.62154231776549,
314.4409317368127,
-22.09042454044902,
-58.521596566656626,
-24.150758837828562,
-38.24750732950133,
-33.410879714967905,
-30.179043921662014,
-114.42148263355466,
71.4947693386157,
12.227751011142573,
32.43629625164522,
25.45203154971432,
31.33306676039456,
-15.191499040995495,
-29.74318218801409
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1330.0982456653906,
814637.1471648231,
6.277163011221187e-09,
9691.197667823099,
-826945.5686998751
],
"pcov": [
[
58518.396461264885,
-312090.35501824284,
7.243003160609806e-07,
689580.1962292884,
-312098.52625754493
],
[
-312090.35501824284,
1665344.0485521988,
-3.844023972883336e-06,
-3697357.5276433537,
1665387.5946557375
],
[
7.243003160609806e-07,
-3.844023972883336e-06,
9.446751317467646e-18,
8.144423863182097e-06,
-3.844125732291504e-06
],
[
689580.1962292884,
-3697357.5276433537,
8.144423863182097e-06,
8638392.664317377,
-3697452.84098458
],
[
-312098.52625754493,
1665387.5946557375,
-3.844125732291503e-06,
-3697452.84098458,
1665431.1419022854
]
],
"r2": 0.9931501151144245,
"aic": 244.9885864169583,
"residuals": [
107.06172892334871,
-16.022674093954265,
-94.00832972233184,
-65.42590713652316,
-16.33452348737046,
2.622749856673181,
22.157835179008543,
65.60735035594553,
-24.04104613896925,
-16.897754981997423,
-34.43151225044858,
-54.91725287877489,
312.3536791513907,
-23.78418142616283,
-59.71470020117704,
-24.79420187987853,
-37.55113554967102,
-31.68335946078878,
-27.857336951768957,
-111.94445929175708,
73.74737732624635,
13.962851899326779,
33.457408260321245,
25.66003023623489,
30.722148320870474,
-16.54021230759099,
-31.285326125100255
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1298.6113526484567,
-2000.8579110087774,
3.592421241252199e-07,
9551.895765606807,
-9999.999949456487
],
"pcov": [
[
8083894.795145542,
3611448533.1659913,
-0.09159793526378641,
36974670.778766036,
-3690460640.405057
],
[
3611448533.1659913,
1623847747755.9243,
-41.19670539513647,
16336498498.646654,
-1659124340077.888
],
[
-0.09159793526378641,
-41.19670539513647,
1.045165303331386e-09,
-0.4141832444994616,
42.09141299363437
],
[
36974670.778766036,
16336498498.646654,
-0.41418324449946153,
172772078.36833143,
-16698304414.935183
],
[
-3690460640.405057,
-1659124340077.888,
42.09141299363437,
-16698304414.935184,
1695173246471.326
]
],
"r2": 0.9931423034108046,
"aic": 245.01936004700502,
"residuals": [
107.31718315682338,
-16.033987771335887,
-94.17674503298076,
-65.71579975377426,
-16.613260658372383,
2.410813140386381,
22.031572444941048,
65.56774607200896,
-24.001530815274236,
-16.790369638223638,
-34.22560083146527,
-54.65869004377055,
312.62785631312727,
-23.52212109946231,
-59.48435617329051,
-24.608530148152568,
-37.50213140213964,
-31.76782678649215,
-28.04512607801189,
-112.19394752066,
73.48064071789486,
13.721312309056884,
33.278832272093496,
25.57608098861965,
30.757695116826653,
-16.367348320349265,
-31.06884795145379
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1286.9946919707209,
-4903.447490707785,
4.5178740820062305e-07,
9457.779223550153,
-6979.690207150725
],
"pcov": null,
"r2": 0.9931399874193865,
"aic": 245.02847698746643,
"residuals": [
108.80172533888526,
-15.043046012244304,
-93.55174307204743,
-65.57214847337127,
-16.745405210445824,
2.1216535939665846,
21.656968220720046,
65.15203556350389,
-24.43042895598319,
-17.214780113611596,
-34.61197343246931,
-54.9901126503737,
312.3550920225862,
-23.738416103382406,
-59.648870801365774,
-24.726824738665528,
-37.5289395086329,
-31.732547957604766,
-27.970311880833833,
-112.0968165688173,
73.5864582577342,
13.82439205164701,
33.36895789018854,
25.6435490119311,
30.792839013007324,
-16.374479339496247,
-31.090672038148114
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2701.579605664725,
0.00013037250151773464,
1.9999999999999998
],
"pcov": [
[
3638.554920007156,
0.0006034720893529117,
15.745778388637952
],
[
0.0006034720893529115,
1.0226758193741992e-09,
1.7554714668179143e-05
],
[
15.745778388637952,
1.7554714668179143e-05,
0.3166997983720031
]
],
"r2": 0.982276373500799,
"aic": 266.6565882036782,
"residuals": [
7.576471328735051,
-9.491940676004447,
-20.73697023015248,
73.47407497171386,
141.29762171589488,
157.17359023336155,
162.8989774381281,
187.11678414264384,
75.60131284702686,
59.842477992448266,
-3.0056132252170755,
-64.93311631051893,
266.6133895504465,
-98.91620730745421,
-157.93039780177128,
-140.14479718905272,
-173.3030796769781,
-163.15376755762554,
-138.61351356557861,
-191.99768562952477,
29.688291074815425,
7.909121871050502,
65.21100668343024,
93.59128233099636,
132.31972566391642,
115.71146922339585,
109.5338138882089
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1190.636071759112,
3.3872431260070813e-16,
266834408.80227822,
2680706595476.4106,
-34126.25831143844
],
"pcov": [
[
1.06541810297558e-66,
-2.0998551069977203e-50,
8.356890071623239e-74,
4.760809461805651e-78,
3.561690251304909e-68
],
[
-2.09985510699772e-50,
4.1386489098219055e-34,
-1.6470771659038365e-57,
-9.38318021243985e-62,
-7.019810760544238e-52
],
[
8.356890071623239e-74,
-1.6470771659038365e-57,
6.554948848170246e-81,
3.734267440466565e-85,
2.7937064159317646e-75
],
[
4.760809461805651e-78,
-9.38318021243985e-62,
3.734267440466565e-85,
2.1273626446103025e-89,
1.591537500731017e-79
],
[
3.5616902513049087e-68,
-7.019810760544238e-52,
2.793706415931764e-75,
1.591537500731017e-79,
1.1906722263129394e-69
]
],
"r2": 0.9936378808353248,
"aic": 239.81485141983,
"residuals": [
91.91559819563554,
-16.725463456568832,
-85.38150214988855,
-52.20338348747464,
-8.667797678950592,
7.60599418917991,
24.27401339350763,
55.75604649668094,
-23.135878230525122,
-18.25471597822616,
-30.26324784426106,
-50.73608024226269,
278.3919481562698,
-31.855290266532393,
-61.08778543599328,
-15.820007729060308,
-28.75209565188561,
-42.65155190805672,
-23.93559680319595,
-99.64518362120725,
85.48039047016209,
12.36246787122218,
38.94098092268541,
26.594424629292917,
21.740957278438145,
-20.481858644059685,
-33.16707912044512
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
994.1545693793134,
0.44214860865989913,
6.537107704993112e-06,
0.057565167350017744,
2680.2448416543675
],
"pcov": null,
"r2": 0.9935874280287791,
"aic": 240.0281219944355,
"residuals": [
93.86508464980852,
-16.915732541795933,
-86.82219056621716,
-54.59000426556577,
-10.93514765429336,
5.902835252860314,
23.285160581138143,
55.48857859699115,
-22.742981876589056,
-17.292179040681503,
-28.461773626290096,
-48.46721393120174,
280.82617162488486,
-29.48419280099165,
-58.94380548819345,
-14.014265456335579,
-28.024510565662695,
-43.020441640833724,
-25.19790716223133,
-101.49899934212817,
83.36736646316922,
10.314713988449967,
37.254187366294445,
25.524520094788386,
21.499023876533556,
-19.731174336619915,
-32.09340993490423
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1197.4222736613688,
662335.0953838639,
5.12276964340751e-09,
10088.81120482133,
-673458.8869816012
],
"pcov": [
[
52063.014131936514,
-278260.6895935937,
7.800141569761048e-07,
699513.0817679984,
-278260.93864233396
],
[
-278260.6895935937,
1487991.8146469563,
-4.1492569848562275e-06,
-3758063.357345221,
1487993.0786961974
],
[
7.800141569761048e-07,
-4.1492569848562275e-06,
1.2298348800722837e-17,
1.0010593433757596e-05,
-4.149262330792612e-06
],
[
699513.0817679984,
-3758063.3573452216,
1.0010593433757598e-05,
9973706.655726014,
-3758064.676597842
],
[
-278260.93864233396,
1487993.0786961974,
-4.149262330792612e-06,
-3758064.6765978415,
1487994.342753787
]
],
"r2": 0.9936391835654824,
"aic": 239.80932223765285,
"residuals": [
91.8234857522184,
-16.744284606305882,
-85.35527023719624,
-52.1382645011181,
-8.600617600255646,
7.658553433604538,
24.305305425543338,
55.76455434365198,
-23.149056995054707,
-18.287208024878055,
-30.32546280673705,
-50.816169107565656,
278.3041969254846,
-31.942590504069813,
-61.16851052630227,
-15.889749987400137,
-28.783790365909226,
-42.6415758470539,
-23.889292603591457,
-99.57276550261304,
85.5662716984516,
12.44818535039667,
39.012815629947,
26.639101377455518,
21.745966599555686,
-20.528072714572772,
-33.23075735743623
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1175.446037800251,
-907.2877997592802,
2.433380373594548e-07,
9968.165100047585,
-9999.999990708548
],
"pcov": [
[
4372356.510998209,
2757138203.5671043,
-0.04789813775826837,
24535903.74364456,
-2800226129.217058
],
[
2757138203.5671043,
1757009163466.4583,
-30.53967689935512,
15225196506.614376,
-1784154108409.001
],
[
-0.047898137758268365,
-30.53967689935512,
5.308449865440337e-10,
-0.26430450472453226,
31.011229408058707
],
[
24535903.743644565,
15225196506.614378,
-0.2643045047245323,
141542329.42891338,
-15467367716.574465
],
[
-2800226129.2170587,
-1784154108409.0012,
31.01122940805871,
-15467367716.574465,
1811723707060.166
]
],
"r2": 0.9936354959505233,
"aic": 239.82497066188063,
"residuals": [
92.0637868777485,
-16.71960066056272,
-85.46418043452104,
-52.36519625722394,
-8.837745369452023,
7.4606848397925205,
24.166989666669906,
55.69110804860611,
-23.1600134801065,
-18.241866005106203,
-30.191674092946414,
-50.626635625596464,
278.5209802649133,
-31.721378796250065,
-60.96023501432683,
-15.707034685090548,
-28.69608582068213,
-42.66130019220873,
-24.003856256924337,
-99.75597461074176,
85.34741450882757,
12.229395556456438,
38.83005245840832,
26.527067063994764,
21.737205648727468,
-20.40369813783036,
-33.06105820138873
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1169.9977840618417,
-4518.616073704751,
3.297747958448069e-07,
9963.249596201462,
-6337.4126408617785
],
"pcov": null,
"r2": 0.9936341000940733,
"aic": 239.83089162470836,
"residuals": [
91.54470208561179,
-17.111565379264903,
-85.74836960074117,
-52.47987612808811,
-8.829753512850402,
7.55688880713933,
24.32552463544198,
55.89222833385429,
-22.931549270081632,
-17.99791950277995,
-29.942594070547784,
-50.395531189177746,
278.7201809184435,
-31.562008095557758,
-60.844587443873024,
-15.63624062627332,
-28.731177873961315,
-42.781670033150476,
-24.182243397622187,
-99.96326526004759,
85.13990612619364,
12.048828455238436,
38.70154998079033,
26.473513905800246,
21.77920688118411,
-20.247772226589404,
-32.867696235639414
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2613.1719836871416,
0.00011476799041064767,
1.9972730568096464
],
"pcov": [
[
4550.6789770346895,
0.0006543229769141808,
19.7811640004901
],
[
0.0006543229769141808,
7.749101430868395e-10,
1.5376463292121287e-05
],
[
19.7811640004901,
1.537646329212129e-05,
0.32330880807071555
]
],
"r2": 0.9805310699619714,
"aic": 266.01322659007286,
"residuals": [
7.28610372543335,
-6.403873768747442,
-11.88143774800043,
89.14272267820675,
157.06433437293725,
175.8279771555164,
183.45290499893338,
199.62654387503676,
102.02393668824732,
86.46177807275103,
32.16191368948921,
-28.976507787903984,
263.30002859226875,
-79.01122354559129,
-135.19708340741158,
-111.81335581822873,
-159.13897910088144,
-183.34644892114102,
-157.15726066701563,
-213.04981495901575,
-0.059428714036585006,
-40.50607582533712,
21.17912808478468,
44.68434693953759,
75.2536041368794,
67.2336107921501,
64.48911216441866
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1199.6106368407475,
1.0980804693373992e-06,
0.174450915058287,
1969.0335205263698,
-9153.375633593958
],
"pcov": [
[
3425396.367511599,
-2.5643397867582713,
373872.1844781079,
4224121023.010812,
-2597542144.63218
],
[
-2.5643397867582713,
1.9509325469940117e-06,
-0.2844179687436411,
-3213.3326288266885,
1975.6725648367528
],
[
373872.18447810796,
-0.2844179687436411,
41464.07415628083,
468458032.33642995,
-288025067.5389186
],
[
4224121023.010812,
-3213.3326288266885,
468458032.33642995,
5292604465929.412,
-3254087102157.9375
],
[
-2597542144.63218,
1975.6725648367528,
-288025067.53891855,
-3254087102157.9375,
2000734882265.8044
]
],
"r2": 0.9942610836388205,
"aic": 237.96743117654725,
"residuals": [
81.28557529295358,
-17.824562455238265,
-83.61920200444183,
-42.96003909063438,
0.07127343947104237,
15.45425964979404,
28.24845758333322,
53.440974341050605,
-18.46164828997462,
-21.368678499266025,
-36.221163735204755,
-55.8187448816625,
263.3668580124031,
-33.57610742698307,
-71.19797187912263,
-15.79380242962543,
-28.023608998269992,
-41.05953545662851,
-28.58357533612434,
-83.56660606720106,
89.3028872275172,
25.835305710832472,
38.343908330814884,
33.02579282495208,
20.762074327880327,
-24.142201175518494,
-46.88943631700022
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1043.036073883063,
0.35853197656972324,
5.75538697235357e-06,
0.058636734334480134,
2821.5394344285082
],
"pcov": null,
"r2": 0.9942518728070514,
"aic": 238.01073083148347,
"residuals": [
83.03594290833189,
-17.620086028084188,
-84.38725877174511,
-44.606623003550794,
-1.663148519220158,
14.006521733384034,
27.247753688947796,
52.93460212869559,
-18.48616301267498,
-20.9544688203473,
-35.10716175686821,
-54.252455867389244,
265.1652213267282,
-31.724785713121037,
-69.43185207795045,
-14.214749305026544,
-27.170099743710125,
-41.04715711340191,
-29.328255960549996,
-84.87472246001835,
87.67993091955577,
24.16798546359678,
36.90445689030639,
32.07601661407216,
20.546113500753563,
-23.40198967238939,
-45.82255657624137
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1212.3976736000059,
41187.66912038663,
4.549995108087444e-08,
11378.714400823366,
-52584.32296063263
],
"pcov": [
[
59216.996529147764,
-319325.6525251822,
9.998566847577249e-06,
858628.248440717,
-318610.0633225896
],
[
-319325.6525251822,
1722760.4237293277,
-5.367277527933192e-05,
-4652096.949170763,
1718889.6645526113
],
[
9.998566847577249e-06,
-5.367277527933192e-05,
1.7779536291302526e-15,
0.00013863441808211664,
-5.3555414363410925e-05
],
[
858628.248440717,
-4652096.949170763,
0.00013863441808211667,
13144337.62214122,
-4641345.8408287885
],
[
-318610.06332258956,
1718889.6645526113,
-5.3555414363410925e-05,
-4641345.840828788,
1715027.7555629257
]
],
"r2": 0.994261190189316,
"aic": 237.96692988154575,
"residuals": [
81.12723393487249,
-17.857849124498898,
-83.57161031621945,
-42.83480537962896,
0.2099558618356241,
15.57465672671242,
28.33604418294999,
53.49058633916138,
-18.450052735599456,
-21.39239058746898,
-36.30259135961387,
-55.93879576708423,
263.2258572384453,
-33.72327127625613,
-71.33960659737932,
-15.921069072472164,
-28.091600422281772,
-41.05634304125124,
-28.515130264670006,
-83.44946470660216,
89.44607345587428,
25.97863845525717,
38.46004919563711,
33.087118567869766,
20.741417358723993,
-24.271080625010654,
-47.05572181197931
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1100.2085632800317,
-9999.999999964602,
4.210935958263458e-07,
9999.999999999998,
-219.06050242923624
],
"pcov": [
[
2820467.0983240036,
277665579.2663667,
-0.029293574739500377,
18177983.56333582,
-305595263.91030836
],
[
277665579.2663667,
27689839471.264954,
-2.926667127340328,
1755096745.930645,
-30436108504.641323
],
[
-0.029293574739500377,
-2.926667127340328,
3.094374876293348e-10,
-0.18471427811609104,
3.216352249770655
],
[
18177983.563335817,
1755096745.930645,
-0.18471427811609104,
121000410.84852889,
-1935454043.232355
],
[
-305595263.91030836,
-30436108504.641323,
3.216352249770655,
-1935454043.232355,
33458984241.334385
]
],
"r2": 0.9942295874820354,
"aic": 238.1152066663204,
"residuals": [
93.42629486374602,
-10.588369889659816,
-80.06728468911382,
-44.278020185382104,
-3.972981649797191,
9.981446046372639,
22.1586955530031,
47.25187178992269,
-24.41745972056401,
-26.87859242302534,
-40.49482902431555,
-58.67793647791791,
261.9199678481623,
-33.70002739718075,
-70.12897952209437,
-13.678666066802407,
-23.946144760817788,
-35.88177538565833,
-23.0426656316572,
-78.2796652606462,
93.82015413834279,
29.149792190713015,
40.089179548223,
32.88930194178238,
18.475069264527974,
-28.812627976300064,
-52.31574685009218
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1186.787379911961,
-6552.5656472966475,
2.8942274716979227e-07,
11226.266419049769,
-4589.099265188565
],
"pcov": null,
"r2": 0.9942609492827722,
"aic": 237.9680632768621,
"residuals": [
81.33326712583676,
-17.853614111698334,
-83.69607042082225,
-43.07796146249893,
-0.046656286269353586,
15.356040815076994,
28.178463716429178,
53.40169450066787,
-18.470970114029114,
-21.350498709460226,
-36.15813260448249,
-55.72518077263885,
263.47798271040483,
-33.458200027502244,
-71.08180880558848,
-15.685874749302457,
-27.953880285050218,
-41.03818629856778,
-28.608416066508653,
-83.62811918880197,
89.21840554561732,
25.743779915750565,
38.2622406540695,
32.97107097327989,
20.751065033618033,
-24.09337403189602,
-46.81963650404214
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2646.1661812763236,
0.00010657571429014665,
1.9832964766861856
],
"pcov": [
[
5257.532729630247,
0.0006597854425967102,
21.76165944877307
],
[
0.0006597854425967102,
6.126183462065892e-10,
1.3171421126347217e-05
],
[
21.76165944877307,
1.3171421126347215e-05,
0.3020643196237644
]
],
"r2": 0.9813395560698552,
"aic": 265.804091845913,
"residuals": [
7.661140441894531,
-4.6972195272892865,
-11.579825865900865,
94.03200198023214,
161.45702688961455,
180.15571122519617,
184.9471199545324,
195.91956738336012,
106.38874341160374,
84.08470916692193,
28.828197592259812,
-29.934019849597007,
253.45935608888976,
-74.91262918447228,
-139.2180373743472,
-105.71651514451992,
-153.13553333320715,
-177.52340242271248,
-158.14173578270857,
-192.98855295926433,
9.134793469295346,
-19.166995681880508,
31.996009386813512,
67.03147575435923,
95.52723085272828,
90.8748074783457,
80.00420461869498
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
817.1902482522157,
1.7465905305348561,
1.9332791385633533e-06,
0.018394208384439382,
3098.600266518414
],
"pcov": [
[
1880248.0143124212,
-29477.824001149176,
0.017299623460527193,
198.9432483088702,
-630947.5772529927
],
[
-29477.824001149176,
463.6971303094153,
-0.0002710062095435773,
-3.1120937861250453,
9502.14120845992
],
[
0.017299623460527193,
-0.0002710062095435773,
1.5950082814794604e-10,
1.8341309314640241e-06,
-0.005999552657595991
],
[
198.9432483088702,
-3.1120937861250453,
1.8341309314640241e-06,
0.021106347728525588,
-69.79227441579152
],
[
-630947.5772529927,
9502.14120845992,
-0.005999552657595991,
-69.79227441579152,
375855.4296608032
]
],
"r2": 0.9942540351207605,
"aic": 233.2295820187299,
"residuals": [
71.01206732309174,
-17.918826753994836,
-78.44728270119958,
-37.94356783481635,
3.956898002332764,
15.786231356069038,
31.419926591740023,
48.69272725791643,
-13.097622481998314,
-19.356116129832117,
-28.92181389872394,
-54.402268783573845,
234.52312732639894,
-28.64304463908161,
-68.0131378328731,
-19.287138810867873,
-38.36810965489076,
-42.84234297414196,
-24.02618088224426,
-65.21925104099432,
86.8809497686043,
28.72632572781731,
44.29191807046618,
35.7202205248318,
15.86808440432651,
-29.62875319362047,
-50.759939610446054
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
967.6596438733073,
0.27788536734580743,
5.118781542784127e-06,
0.05582913740737713,
2688.6500346521093
],
"pcov": null,
"r2": 0.9942473018346759,
"aic": 233.26120286792926,
"residuals": [
68.09501021401502,
-18.725929353567153,
-77.88598231036713,
-36.02644959822783,
6.194870292925771,
17.838135701987085,
33.050491810106905,
49.81131395762668,
-12.503633004476114,
-19.25773000734557,
-29.654861492149394,
-55.721918667765294,
232.8461983052166,
-30.484586976262335,
-69.86639146006223,
-21.03576590659327,
-39.540433260238615,
-43.25593823747113,
-23.714231686258927,
-64.33669386440192,
88.11527518173443,
30.06518816145126,
45.48150442717315,
36.51345362573147,
16.032600816281047,
-30.306028480235,
-51.72809702916038
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
791.1896906802475,
-10409.717378369687,
3.3787833161390284e-06,
9512.960564388302,
3098.6648918081755
],
"pcov": [
[
2073737.2699143104,
-19856744.309354153,
-0.028184163634138375,
18599410.509061683,
-648517.0385421029
],
[
-19856744.309354156,
190223935.1533704,
0.2704707412426912,
-177739433.2935766,
6093011.958913013
],
[
-0.028184163634138375,
0.2704707412426912,
3.8935580741653874e-10,
-0.24753294401547962,
0.007834051667332075
],
[
18599410.509061683,
-177739433.2935766,
-0.24753294401547962,
172144656.65002236,
-6536125.148409009
],
[
-648517.0385421029,
6093011.958913012,
0.007834051667332075,
-6536125.148409008,
373220.0838857214
]
],
"r2": 0.9942540351045669,
"aic": 233.22958209482258,
"residuals": [
71.01595459897817,
-17.91765179401864,
-78.44785803059176,
-37.945884810621465,
3.954133875021853,
15.783642853418314,
31.417799052732335,
48.691169865135635,
-13.098593929315484,
-19.356534797119366,
-28.92131016301846,
-54.4011211193299,
234.52466088159758,
-28.641339534719464,
-68.01142920459051,
-19.285552696170498,
-38.36716141814941,
-42.84220889128551,
-24.026802348600768,
-65.22044128763605,
86.87944105689394,
28.72477349014116,
44.290598516511636,
35.71939732096007,
15.868000786260382,
-29.627878584031805,
-50.758738826059016
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
966.8460896513623,
-9999.999999950285,
2.3754782660192036e-07,
9999.999999999998,
1020.3049408043543
],
"pcov": [
[
1845036.5644775615,
217616887.1273077,
-0.019923495220211945,
14202546.337315902,
-235948428.90813538
],
[
217616887.1273077,
25979018584.48893,
-2.388362385591402,
1642178300.888108,
-28138403200.45635
],
[
-0.019923495220211945,
-2.388362385591402,
2.1994614126356235e-10,
-0.149411015715099,
2.5859794976337196
],
[
14202546.3373159,
1642178300.8881078,
-0.149411015715099,
113270246.08002672,
-1783602365.2766857
],
[
-235948428.90813538,
-28138403200.45635,
2.5859794976337196,
-1783602365.2766857,
30479948429.012478
]
],
"r2": 0.994183691814815,
"aic": 233.5581147705993,
"residuals": [
82.29923910670652,
-9.541254658809976,
-72.62513931203932,
-36.28685009786159,
2.5060901966443225,
12.070358083874794,
26.106931865034085,
42.31268979133972,
-20.123154119017272,
-26.69139433897567,
-36.12909632123808,
-60.80018455577692,
229.35000940661098,
-32.35650511380345,
-70.15719292218978,
-19.840019801052676,
-35.21492511667361,
-36.76821828962875,
-16.05361770830268,
-56.44625021642696,
95.36108727968212,
35.865283536877996,
49.1060070313747,
37.298926063767794,
13.376512895740689,
-36.95080377341674,
-59.668528994347525
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
780.0670530162901,
-10306.166823363868,
3.4910928811453405e-06,
9377.614701961273,
3107.5347589629864
],
"pcov": null,
"r2": 0.9942539279456143,
"aic": 233.23008562465552,
"residuals": [
71.66158853946217,
-17.60883166096437,
-78.37229640957639,
-38.139927250044366,
3.6446368877204804,
15.441326475601727,
31.087638115507616,
48.397245760043006,
-13.344212559903099,
-19.548841239416106,
-29.007019108152235,
-54.39191586623133,
234.6121507161347,
-28.492576698733046,
-67.81704286108925,
-19.059259024360927,
-38.108263855731366,
-42.59749204112131,
-23.82399517832232,
-65.074601629379,
86.96147615443942,
28.741401342214886,
44.24345918072004,
35.612043213074685,
15.70500649249334,
-29.841510886280503,
-50.986574391190516
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2412.198661553117,
0.00010423166716692144,
1.9999999999999993
],
"pcov": [
[
4880.586536335799,
0.0006550199522169267,
22.280349001704966
],
[
0.0006550199522169267,
6.196907227662373e-10,
1.3787167117871701e-05
],
[
22.28034900170497,
1.3787167117871698e-05,
0.3274797949929696
]
],
"r2": 0.9807951561280657,
"aic": 261.80952848359,
"residuals": [
7.585752964019507,
-3.3135214328026095,
-10.92604237882054,
87.57212768637261,
150.67578891951365,
164.582288503835,
172.07156606605804,
175.65015271037248,
97.18843259992957,
72.77604002957492,
25.789315854075653,
-35.59502865817217,
220.78762421073566,
-70.73733254125705,
-133.9920860880875,
-104.68465923063263,
-154.15880830575088,
-166.99407420607463,
-139.67323690880016,
-160.11437089511492,
21.20759626798872,
-2.20830794972926,
51.37059300755254,
82.42205860070226,
102.59283613997877,
96.65896851522939,
87.21249201914497
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
710.0287144421452,
3.8095745988555834,
9.778022930847928e-07,
0.008550442741279682,
3210.8242904567423
],
"pcov": [
[
1109968.647885072,
-36319.83320370613,
0.0050936367720855755,
56.26852389922536,
935478.7360557329
],
[
-36319.83320370613,
1190.3122419605113,
-0.00016645492456039652,
-1.8368748981856118,
-31023.597184099213
],
[
0.0050936367720855755,
-0.00016645492456039652,
2.3631497645468802e-11,
2.6104272294570894e-07,
0.0040287636395098855
],
[
56.26852389922536,
-1.8368748981856118,
2.610427229457089e-07,
0.0028860555417131685,
44.289390871488045
],
[
935478.7360557328,
-31023.597184099213,
0.0040287636395098855,
44.289390871488045,
1082004.6037600248
]
],
"r2": 0.9942162274151722,
"aic": 231.91134135313646,
"residuals": [
69.4167267876719,
-16.153047702779077,
-77.55543960281602,
-38.10667056432521,
1.8049014588455066,
12.851118249875526,
32.69572796522061,
47.70612193861416,
-15.517809617341754,
-15.157681945302556,
-23.3040005141429,
-49.57213210902091,
230.4133016858318,
-28.768699663088682,
-71.67957323597693,
-17.445074683815847,
-42.49862154701759,
-45.833044942932474,
-23.209596787273085,
-53.233295185497354,
81.40951358126313,
24.395077381701412,
46.292427198352925,
34.57644811050159,
13.427954013294311,
-25.977474634893042,
-50.97548213930668
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
952.8618775242884,
0.1176405108878533,
5.159409451281144e-06,
0.05777927832100895,
2641.5816829400765
],
"pcov": null,
"r2": 0.9941917431996137,
"aic": 232.02539813839505,
"residuals": [
64.34588296797529,
-17.451567893601805,
-76.42767353252111,
-34.611860928836904,
5.819233947388966,
16.48805836213387,
35.54312126836567,
49.60836168259607,
-14.578519842619471,
-15.125863364419274,
-24.792895901254496,
-52.13401630929525,
227.1982534672543,
-32.28233795157098,
-75.20819783403613,
-20.770687401854047,
-44.714939448654604,
-46.57261027582308,
-22.51314786947023,
-51.383744254859494,
83.99112996051099,
27.214875525602565,
48.824938810290405,
36.2908263017589,
13.804576812228333,
-27.4366271095887,
-53.07842457295146
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
687.0831862046269,
-9508.416080233972,
3.727756007442335e-06,
8742.614709804307,
3210.655819931057
],
"pcov": [
[
1171364.890497887,
-12540093.307745773,
-0.016596532199439348,
12277650.821302373,
971598.951281967
],
[
-12540093.307745773,
134417535.66664472,
0.17857740953858453,
-130823653.36074755,
-10614052.617498675
],
[
-0.016596532199439348,
0.17857740953858453,
2.4081329268949835e-10,
-0.16930084396465242,
-0.014985092663406198
],
[
12277650.821302373,
-130823653.36074755,
-0.16930084396465242,
133502485.3914901,
9265682.750117203
],
[
971598.951281967,
-10614052.617498677,
-0.014985092663406202,
9265682.750117203,
1081879.0922544696
]
],
"r2": 0.9942162274102686,
"aic": 231.91134137602796,
"residuals": [
69.42025224884355,
-16.152723534586585,
-77.55703477524457,
-38.10987029017042,
1.8016391569385632,
12.848459762321454,
32.6939240424299,
47.70521933405871,
-15.51786415379911,
-15.156988236338748,
-23.302168216514474,
-49.569624996505354,
230.4160920323634,
-28.765932282674157,
-71.67705640316194,
-17.44296923621232,
-42.49791476451901,
-45.83382991118083,
-23.211632185878898,
-53.236162627460544,
81.40631679759326,
24.392083223816826,
46.29016415637807,
34.575421931286655,
13.428636738709884,
-25.974650435069634,
-50.97193739416707
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
923.7849658087033,
-5921.406455506133,
5.82480491443826e-20,
9999.999999999998,
-2660.624691863411
],
"pcov": [
[
28420.618423701326,
-153741.62197534626,
5.2437745957326304e-05,
540407.6175288879,
-153741.60609803317
],
[
-153741.62197534626,
832132.3349602618,
-0.00028207386842182044,
-2938820.9915114627,
832132.2490243936
],
[
5.2437745957326304e-05,
-0.0002820738684218205,
1.0379272145031486e-13,
0.0009468944889904017,
-0.00028207383928893943
],
[
540407.6175288878,
-2938820.9915114623,
0.0009468944889904017,
10902240.850970808,
-2938820.6880343673
],
[
-153741.60609803314,
832132.2490243936,
-0.0002820738392889394,
-2938820.6880343673,
832132.1630885343
]
],
"r2": 0.9941306519893873,
"aic": 232.30790088631136,
"residuals": [
81.25984193614613,
-6.048581191039375,
-69.34202694534633,
-33.642003251948154,
2.922984783879201,
11.164547226966533,
28.74924800522831,
41.99885214550068,
-22.546538150738797,
-23.12892484092299,
-32.24063015399861,
-58.54811467343052,
222.043037478908,
-36.09676096373141,
-77.68395010806489,
-21.96013858965034,
-43.086857362803585,
-42.82731676266167,
-17.384856803003913,
-45.57911589311652,
89.81246965077071,
32.44433697464092,
52.90315810418497,
38.70382805462987,
14.079446751206433,
-29.735941223284044,
-56.22999419675625
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
617.0486654712232,
-8767.617748195069,
4.652830885328721e-06,
7895.838520400367,
3165.495929709596
],
"pcov": null,
"r2": 0.99421275343861,
"aic": 231.9275538178837,
"residuals": [
72.27352302314875,
-15.223385775942006,
-77.84773077967702,
-39.597882854217914,
0.00305305008077994,
11.15527033712533,
31.294865049946566,
46.67362612703437,
-16.168722307248117,
-15.44502805684715,
-22.97178069180336,
-48.78722302964161,
231.4939381490501,
-27.524922844550474,
-70.37892622473714,
-16.169749273178013,
-41.518695835640756,
-45.30450423781963,
-23.145496469426917,
-53.564047830010395,
80.79902159637004,
23.642602792898742,
45.54419041650863,
33.97835302094518,
13.120215973402082,
-25.863515809777255,
-50.71096595531162
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2355.983942920096,
0.0001004336418813842,
1.9999999999999991
],
"pcov": [
[
5315.417669722433,
0.0006854647990573101,
24.43571138483758
],
[
0.0006854647990573102,
5.897821090329081e-10,
1.3716336629191414e-05
],
[
24.435711384837578,
1.3716336629191418e-05,
0.34171959481733977
]
],
"r2": 0.9798731027176764,
"aic": 261.58036639972556,
"residuals": [
7.602660179138184,
-2.090031277470933,
-11.451220093532754,
86.04026793107866,
147.9946130987909,
162.01429261103146,
174.48182350614542,
176.42136457952563,
97.02997355615514,
79.64544487373576,
34.67370744526795,
-27.151271283567212,
220.41857853967667,
-67.19158281142177,
-134.2260769445861,
-99.78848238604655,
-156.58780394302516,
-169.86939655557762,
-140.22235747658033,
-150.64775151904314,
12.51646127727372,
-9.951802654566563,
50.279990646227816,
78.99692366682484,
99.12670885768603,
100.93338802092921,
88.1834485128752
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
655.6184894268526,
1.9623055027030507,
1.420581116751728e-06,
0.01301476950454717,
2722.851555401078
],
"pcov": [
[
1042651.7141176049,
-23235.305174990037,
0.00785976876424404,
89.59746881954482,
387865.1304271433
],
[
-23235.305174990037,
518.9487108877382,
-0.00017467978649084165,
-1.989315881533638,
-9059.08452011087
],
[
0.00785976876424404,
-0.00017467978649084162,
6.003157847984077e-11,
6.841565137405257e-07,
0.0024367720405363974
],
[
89.59746881954483,
-1.989315881533638,
6.841565137405258e-07,
0.007802563164424645,
27.58930561442322
],
[
387865.13042714325,
-9059.08452011087,
0.0024367720405363974,
27.589305614423214,
464524.01069131517
]
],
"r2": 0.9935960313681041,
"aic": 225.59526832688582,
"residuals": [
59.31357614516264,
-13.536861342686734,
-68.49306714169143,
-30.58236666244693,
5.450334752795698,
11.855827635144578,
25.459812827919905,
44.42282183648558,
-18.742074941127157,
-13.316551387537856,
-26.397316701518093,
-47.41688103315073,
207.56875389866036,
-25.472451917762328,
-60.664982536894286,
-17.459888005771973,
-31.32977502846643,
-30.04675144941052,
-25.558808032086517,
-53.027781307679334,
79.17923686759445,
13.395553845675067,
39.88719831989397,
23.6949307499483,
11.292510476909683,
-21.69594959269034,
-37.77656341740976
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
799.3801999674364,
0.10164440570314726,
5.866791242797907e-06,
0.06338087294421481,
2142.043502195437
],
"pcov": null,
"r2": 0.993583876999483,
"aic": 225.6464642247785,
"residuals": [
56.42192497502356,
-14.25919139920552,
-67.82073575598406,
-28.55350066453093,
7.769822394547418,
13.94869432153314,
27.08903381592404,
45.499739109489155,
-18.226451771995016,
-13.328909311301459,
-27.29220294922152,
-48.9317391996226,
205.67951995546196,
-27.52889639056434,
-62.72308165994946,
-19.392486710329877,
-32.59821360986598,
-30.438510261621104,
-25.10076643148045,
-51.88956942267146,
80.74580264808014,
15.094514306120118,
41.402566858142336,
24.70608356811522,
11.48401282675377,
-22.628127248152396,
-39.102922033587674
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
639.0383798794619,
-8604.479542441206,
2.7882303400910728e-06,
9160.907031295988,
2722.869382399376
],
"pcov": [
[
1154815.5517365935,
-11836233.027793972,
-0.018557494974088883,
12989694.560221244,
419472.10554387
],
[
-11836233.027793972,
121520615.86856656,
0.19125000230976139,
-132425508.46830466,
-4549866.442708557
],
[
-0.018557494974088883,
0.19125000230976136,
3.0450164331630046e-10,
-0.20360394897612746,
-0.00809797709939201
],
[
12989694.560221244,
-132425508.46830465,
-0.20360394897612746,
151299378.4689,
3713517.5740855318
],
[
419472.10554387,
-4549866.442708557,
-0.00809797709939201,
3713517.5740855318,
464964.16263861157
]
],
"r2": 0.9935960313638417,
"aic": 225.59526834485698,
"residuals": [
59.315805902102056,
-13.535978338619316,
-68.49309255606113,
-30.58339147377592,
5.4489347483672645,
11.854375297339175,
25.458475838733193,
44.421683729840424,
-18.742977806621184,
-13.31720956186814,
-26.39751179058362,
-47.41668658440972,
207.56925231153195,
-25.471730838283747,
-60.66411031611074,
-17.45892519144786,
-31.328784489324107,
-30.045916587499505,
-25.55822236130598,
-53.02748011971471,
79.179255281319,
13.395314222673278,
39.88673920294855,
23.694298356501122,
11.291754603516438,
-21.69677830843375,
-37.77740422221723
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
639.0298193429279,
-8604.380112918554,
2.788448413312703e-06,
9160.889566613303,
2722.8501095619404
],
"pcov": [
[
1154816.824998589,
-11836275.996887483,
-0.018557706052479594,
12989879.346683081,
419502.8390301777
],
[
-11836275.996887483,
121521323.64007649,
0.19125254758608856,
-132427809.30162904,
-4550148.155879845
],
[
-0.01855770605247959,
0.19125254758608853,
3.045081877064091e-10,
-0.2036089668395122,
-0.00809844347213977
],
[
12989879.34668308,
-132427809.30162902,
-0.2036089668395122,
151303497.33619004,
3713991.9970491384
],
[
419502.8390301777,
-4550148.155879844,
-0.008098443472139772,
3713991.9970491384,
464937.30830521043
]
],
"r2": 0.993596031363112,
"aic": 225.59526834793314,
"residuals": [
59.314962698173986,
-13.536589679218196,
-68.49350864196367,
-30.583504394829106,
5.449036110589077,
11.85462566722208,
25.458826357656108,
44.42209729937122,
-18.742529643859598,
-13.316748775887163,
-26.39707293670176,
-47.41631079602644,
207.56954154061555,
-25.47154013850036,
-60.66402238840942,
-17.458939006661467,
-31.32902701508283,
-30.046329662759945,
-25.55873643717564,
-53.028023622801356,
79.17875153569707,
13.394914962996154,
39.8865038125532,
23.69428059861957,
11.292002671087175,
-21.696221572762624,
-37.77674729485625
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
551.2877489606409,
-7695.13960296499,
4.155787301954794e-06,
8023.791109517457,
2684.0610288862845
],
"pcov": null,
"r2": 0.993589836038985,
"aic": 225.62137604787836,
"residuals": [
62.371410591228596,
-12.57405721114992,
-68.86154020164486,
-32.25483709392529,
3.449304448070052,
9.985727750236947,
23.928965954372416,
43.311281493890874,
-19.42124389838,
-13.58510309590315,
-25.969401510453963,
-46.48434602145903,
208.82619491966307,
-24.041503165163476,
-59.181537144804224,
-16.017211561418208,
-30.25032425884342,
-29.501908546579898,
-25.555700419047753,
-53.47861163589346,
78.41454353013023,
12.483064582821498,
39.002676412254004,
23.013728420638472,
10.983364409884416,
-21.474621770743397,
-37.36702172571222
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1988.6497545063305,
0.00010224318519875201,
1.999999999999999
],
"pcov": [
[
3780.316753976219,
0.0005956945731354977,
20.759145492436442
],
[
0.0005956945731354977,
6.428770101579644e-10,
1.4635013319586866e-05
],
[
20.75914549243644,
1.4635013319586866e-05,
0.3563023932676174
]
],
"r2": 0.9790374180978962,
"aic": 253.61243903401868,
"residuals": [
7.461376667022705,
-0.7463911230327458,
-11.547729097591628,
75.31343853996832,
129.70616606847776,
138.36644850340338,
145.516977002526,
153.24420445637554,
76.24317247472663,
66.50817719352574,
21.992777163961364,
-29.3632100064292,
197.98057896804994,
-59.28271284266407,
-115.00555098355585,
-88.62095587270528,
-129.33921675403235,
-136.26098969821078,
-125.49953816643915,
-135.99620146787765,
20.75415107290837,
-15.388087959068798,
43.94246531406134,
62.35628750530077,
85.2707537803276,
87.5446198011407,
81.94616174228099
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
659.1019198548202,
0.40578398025711093,
3.0199157166869513e-06,
0.028850847922161603,
2260.5951788594944
],
"pcov": [
[
955369.2277664504,
-10478.974785159078,
0.035719379115584524,
376.07372945415136,
-4777104.114556485
],
[
-10478.974785159078,
115.6128715764025,
-0.0003913071835943286,
-4.11561660743709,
52149.65008793542
],
[
0.035719379115584524,
-0.0003913071835943286,
1.3389933708192976e-09,
1.4096298961694124e-05,
-0.17948339077266182
],
[
376.07372945415136,
-4.11561660743709,
1.4096298961694124e-05,
0.14843543592889713,
-1890.3217917652582
],
[
-4777104.114556484,
52149.65008793541,
-0.17948339077266182,
-1890.3217917652582,
24132729.803704567
]
],
"r2": 0.9931354873592819,
"aic": 221.07386461583567,
"residuals": [
56.489172288795544,
-10.157319268717856,
-64.36336683312447,
-32.578095653418586,
2.1652091381456557,
10.814286026208265,
23.32295268628218,
43.818595788008224,
-16.997491574528112,
-11.674414920456456,
-22.074504616951117,
-40.3178583704896,
190.5842692436404,
-26.481448493726475,
-54.8630780732276,
-20.18218028279216,
-29.3673796333303,
-24.640445059312242,
-18.431457402385604,
-53.14147097263776,
73.83838111980776,
13.009794899813414,
31.299972463440554,
19.26222665230739,
9.284656099723861,
-16.33944504590795,
-32.27404966576569
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
693.3989240919361,
0.10520901599366335,
6.095523878863639e-06,
0.060769630123645876,
1881.2000530356647
],
"pcov": null,
"r2": 0.9931344116223031,
"aic": 221.07809545120205,
"residuals": [
55.7630977732897,
-10.33731569722977,
-64.19287164799812,
-32.06685196973831,
2.750271795020126,
11.34407227841325,
23.738362830425785,
44.097429687875774,
-16.857683349129275,
-11.665614993382633,
-22.28548365993106,
-40.68446331468908,
190.12219496380305,
-26.988102436305667,
-55.3734827054036,
-20.66480500780426,
-29.692583095407826,
-24.752803099582934,
-18.334465610824736,
-52.87440163059955,
74.21501302317165,
13.423405866831672,
31.671774467899468,
19.511017689957953,
9.329286925738643,
-16.578465514943446,
-32.61328338107569
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
651.4355988213721,
-8279.889815196935,
1.2253285089347458e-06,
9553.543297457572,
2260.571124979223
],
"pcov": [
[
1136369.5184652198,
-6044525.439122428,
-0.018755634021668712,
12541155.408824403,
-5202961.929839924
],
[
-6044525.439122428,
32393864.711896375,
0.10066929435361029,
-66233289.134630755,
27402102.258018076
],
[
-0.018755634021668712,
0.10066929435361029,
3.1580847786483836e-10,
-0.20200613596939013,
0.08467243065050767
],
[
12541155.408824405,
-66233289.13463076,
-0.20200613596939013,
143250677.67135182,
-58165606.17337044
],
[
-5202961.929839924,
27402102.258018076,
0.08467243065050768,
-58165606.173370436,
24142210.770083517
]
],
"r2": 0.9931354873595961,
"aic": 221.07386461459973,
"residuals": [
56.48952699423717,
-10.15708898195362,
-64.36324618717481,
-32.578156547649996,
2.1650076695252665,
10.81397602757579,
23.32255944876283,
43.81813946904026,
-16.997994764224586,
-11.674951843900317,
-22.075078806122974,
-40.31844067552538,
190.58369858740548,
-26.481994159986925,
-54.8635899261501,
-20.182652745877704,
-29.367743328164124,
-24.640701699847796,
-18.43162014652694,
-53.14155855396484,
73.83834747235596,
13.009793154348245,
31.299980739463535,
19.26222376251735,
9.284621852449163,
-16.339529687069216,
-32.27415295445485
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
699.6133483881979,
-7965.558559032973,
3.98516838687073e-07,
9999.999999988555,
1472.7510416246178
],
"pcov": [
[
1196000.1614027587,
46643989.38240986,
-0.01796030859208034,
12672147.1711993,
-58523686.95364106
],
[
46643989.38240986,
1835914635.8041012,
-0.7100491373587091,
485601575.1957864,
-2298703316.9244356
],
[
-0.01796030859208034,
-0.710049137358709,
2.755168838579717e-10,
-0.18551049104869557,
0.8881529767164329
],
[
12672147.1711993,
485601575.1957864,
-0.18551049104869557,
139043138.23454794,
-611746942.7418183
],
[
-58523686.95364106,
-2298703316.9244356,
0.888152976716433,
-611746942.7418183,
2879507694.757729
]
],
"r2": 0.9931331883038022,
"aic": 221.0829059139669,
"residuals": [
56.491876329353545,
-9.81570686665441,
-63.851188741613214,
-32.01603656286238,
2.5844619162101026,
11.019133451149173,
23.299182791482508,
43.579339316498135,
-17.426683575603306,
-12.263220473006072,
-22.89039729208605,
-41.25059641499058,
189.6237815512361,
-27.401489105118344,
-55.69262865670862,
-20.886238606181905,
-29.678988319392374,
-24.544922890041335,
-17.99111898867136,
-52.46212687527304,
74.62724184978129,
13.76697539859947,
31.87993026279719,
19.519652821550835,
9.077329751713933,
-17.148894834156636,
-33.2900595027038
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
582.301468858013,
-7734.728455060878,
2.309620890512814e-06,
8666.032243485079,
2403.412520460938
],
"pcov": null,
"r2": 0.993130723628669,
"aic": 221.09259516886695,
"residuals": [
58.85309270149628,
-9.302380837296369,
-64.49758502649138,
-33.739007119387225,
0.6850356210775317,
9.36500536585936,
22.074789269675648,
42.84673618990928,
-17.669410754177534,
-12.050887760050273,
-21.926277658678146,
-39.76362318655629,
191.42464980515183,
-25.46073952783263,
-53.750043867167506,
-19.04744285626043,
-28.390854978046036,
-23.987123806683257,
-18.148342067539488,
-53.202965962285816,
73.50150205498585,
12.491940449038793,
30.708879471534146,
18.71127562124002,
8.887867235102476,
-16.47066261456939,
-32.30453366274787
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1760.8363580390296,
0.00010541043189021209,
1.9999999999999982
],
"pcov": [
[
2871.6039429687253,
0.0005378898159817734,
18.041451592716594
],
[
0.0005378898159817735,
7.225142953895959e-10,
1.5861720419494167e-05
],
[
18.041451592716594,
1.5861720419494167e-05,
0.37139782347411665
]
],
"r2": 0.9782329056975996,
"aic": 248.2327920378503,
"residuals": [
7.36142635345459,
-0.21963793295715917,
-14.319390165893932,
61.608871563734496,
112.74830490894524,
123.3240634336926,
129.97356664429077,
140.3363059292181,
67.05660627880405,
58.72243151440193,
19.990602403334606,
-25.602403877347342,
180.39203387645637,
-58.471433018999505,
-105.29020267606256,
-85.67037809020621,
-118.69654945099637,
-120.92823879878983,
-108.63086382035272,
-127.6605169976176,
21.75378133981326,
-12.11282388220684,
35.968857088552795,
55.28434444631603,
77.29274355203893,
83.6196222959677,
77.18905590267809
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
823.2846657058884,
2.3136564287447614e-09,
75.17201756885176,
1240175.7468064018,
-11560.629605730144
],
"pcov": [
[
56086.27409610038,
5.325688852418461e-07,
-6966.250749802743,
-518.1970923154108,
-772951.8317382673
],
[
5.325688852418461e-07,
5.119424058786601e-18,
-6.532924308865605e-08,
-4.920627718967505e-09,
-7.339620192784046e-06
],
[
-6966.250749802743,
-6.532924308865605e-08,
900.6057623803968,
64.28060706829267,
95885.3618123658
],
[
-518.1970923154108,
-4.920627718967505e-09,
64.28060706829267,
4.788083534098557,
7141.981200596744
],
[
-772951.8317382672,
-7.339620192784046e-06,
95885.3618123658,
7141.981200596744,
10653092.530496309
]
],
"r2": 0.9919087462912481,
"aic": 215.82142962968138,
"residuals": [
49.70996317450954,
4.228235864085946,
-36.034049193858664,
-47.02279570773135,
-16.148939367840285,
-3.3906117128881306,
16.444625755990273,
36.243976840387404,
-16.941626924146476,
-8.245894073243107,
-13.100907552541685,
-34.826031270182284,
184.84538780999537,
-16.251273293597478,
-43.62655486317817,
-21.343385146677974,
-27.100677499161975,
-21.23851244837533,
-16.736655936238094,
-48.35078532630541,
61.26066692766835,
6.673965263024002,
22.260519463659875,
13.03546531676875,
6.303589389521221,
-10.10745137746926,
-20.34952849543697
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
690.386744723426,
0.3351938935884619,
7.551926812062939e-06,
0.11247382673929639,
1409.7242219551463
],
"pcov": null,
"r2": 0.9918903593890352,
"aic": 215.8827159467332,
"residuals": [
50.277302821145895,
4.325097322253669,
-36.25770894572338,
-47.57915727978411,
-16.78210800983379,
-3.961010599275369,
16.00816531860005,
35.97192926007142,
-17.042968113678626,
-8.184356555302202,
-12.764804551610382,
-34.29916693814471,
185.48125307588282,
-15.57646083190798,
-42.96861766400684,
-20.744331566769688,
-26.756590120416604,
-21.197481942496324,
-16.9634396526651,
-48.7677878543775,
60.74734619099195,
6.158467886385779,
21.827551211398713,
12.754672157577033,
6.22650832657996,
-9.948802124930353,
-20.116892739241166
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
833.8886199897315,
251961.11767223818,
9.412986430302271e-09,
16625.140756024193,
-260107.7534561625
],
"pcov": [
[
59841.17607001287,
-328703.3563858341,
1.9005208325220154e-06,
1595205.924339485,
-328648.1166655344
],
[
-328703.3563858341,
1806084.9860398383,
-1.040687622423384e-05,
-8791656.639003033,
1805780.7083136835
],
[
1.9005208325220154e-06,
-1.040687622423384e-05,
6.263786710799888e-17,
4.8963490522458845e-05,
-1.0405171161435099e-05
],
[
1595205.924339485,
-8791656.639003031,
4.8963490522458845e-05,
44273618.28293543,
-8790133.43915474
],
[
-328648.11666553444,
1805780.7083136837,
-1.0405171161435099e-05,
-8790133.43915474,
1805476.483046253
]
],
"r2": 0.9919096226935592,
"aic": 215.8185049724082,
"residuals": [
49.642140824958915,
4.199513365863822,
-36.035267826897325,
-46.99344222099171,
-16.109967115684412,
-3.3540222683222964,
16.472268010256812,
36.25945446419064,
-16.939463359100046,
-8.256925937224878,
-13.135263929929351,
-34.87772510375362,
184.78274374484317,
-16.3190561409574,
-43.69458950016997,
-21.407778261549538,
-27.144863324123435,
-21.255584934784565,
-16.727544643508736,
-48.321198801801074,
61.30233518106979,
6.718027482711477,
22.296908530173823,
13.054333535197657,
6.295697196095716,
-10.150487158913165,
-20.404593866871437
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
369.561101600612,
-5175.967605169159,
8.282701209340236e-06,
9999.999999999998,
1724.3063456206005
],
"pcov": [
[
1052126.8765301707,
-10747682.498410603,
-0.024100656002330124,
22416525.478534047,
248170.5088030466
],
[
-10747682.498410603,
109796043.87734203,
0.24625463882018112,
-229033752.86131507,
-2540690.212401333
],
[
-0.024100656002330124,
0.24625463882018112,
5.62818481316817e-10,
-0.5018432544306516,
-0.006125933171867919
],
[
22416525.478534054,
-229033752.86131507,
-0.5018432544306516,
493113739.68144244,
4857350.565424813
],
[
248170.50880304663,
-2540690.212401333,
-0.006125933171867919,
4857350.565424813,
78375.79611877567
]
],
"r2": 0.9917922283180103,
"aic": 216.20746975114915,
"residuals": [
55.17350765368337,
6.439861553103128,
-36.06210134635012,
-49.525406904710735,
-19.51378513332861,
-6.75369945269108,
13.53088083033549,
33.98922728178286,
-18.46523460065964,
-9.04527864977058,
-12.628414382494839,
-33.41197663831986,
186.86497766884554,
-13.918270340579966,
-41.2149976165648,
-19.03189711897619,
-25.512444413978187,
-20.625073722551406,
-17.021228275832073,
-49.29328196628808,
59.96229126148637,
5.323874009734482,
21.131036903879703,
12.349077580663106,
6.224737916737922,
-9.4746147592125,
-19.49176715047861
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
476.8255425114362,
-6256.407658531432,
5.673740861297225e-06,
11733.40321939596,
1740.8334461093207
],
"pcov": null,
"r2": 0.9918369617617154,
"aic": 216.0599137057239,
"residuals": [
54.921666323318505,
6.841322679053064,
-35.308026879882846,
-48.598700213470465,
-18.774788976083528,
-6.339574618462848,
13.591541300395875,
33.720318411852304,
-19.015960171584993,
-9.821182028010526,
-13.68472619301042,
-34.55091318595305,
185.7953432117622,
-14.810830150208858,
-41.86008042684955,
-19.389076591465937,
-25.113020153701996,
-19.582358162092532,
-15.555459641927428,
-47.661146173622456,
61.505318499710256,
6.5428267668521585,
21.82043905395267,
12.336105908775835,
5.369136514263573,
-11.282378812556999,
-21.60227419770945
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1459.7805219701904,
9.993965229679876e-05,
1.999999999999846
],
"pcov": [
[
1657.3057749470183,
0.00034195614947354143,
12.267301982297152
],
[
0.00034195614947354143,
4.674222315765392e-10,
1.0935184440871052e-05
],
[
12.26730198229715,
1.0935184440871052e-05,
0.2741783964991731
]
],
"r2": 0.9842712329359931,
"aic": 229.76853600615198,
"residuals": [
7.295782089233398,
1.7090899703894866,
-11.20499892801385,
8.408355477946472,
51.23531289509816,
66.21337465153067,
83.05362272607601,
97.00745549390308,
36.41605766597377,
36.88690924298703,
14.764247572591103,
-23.834958638067064,
180.30029014942443,
-34.53254561235133,
-73.63969040597681,
-61.03152511658425,
-82.37030625972511,
-81.35701320717635,
-73.28762072193558,
-95.12867677217673,
28.578207851410298,
-9.107216689114694,
25.006925099054342,
35.04180218856186,
47.640007477842346,
50.15012679914889,
45.45116121548381
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1601.1792674228511,
2.3806935911677657e-09,
113.80910295968644,
6890171.333906832,
-24818.13284302733
],
"pcov": [
[
2.097968600216998,
5.888893787022909e-11,
-5.9629819580892995,
0.00013605027755708596,
0.16152948779814527
],
[
5.888893787022909e-11,
3.1396379685332126e-21,
4.041141409074821e-11,
1.8986272649778572e-16,
3.695764894755598e-12
],
[
-5.9629819580893,
4.041141409074821e-11,
59.22186172853487,
-0.0011249892213667943,
-0.6296541148507679
],
[
0.00013605027755708596,
1.8986272649778572e-16,
-0.0011249892213667945,
2.171690471573758e-08,
1.3453485276508757e-05
],
[
0.16152948779814527,
3.695764894755598e-12,
-0.6296541148507679,
1.3453485276508755e-05,
0.01312471585164995
]
],
"r2": 0.9873220792134142,
"aic": 202.25345556372034,
"residuals": [
24.146552396541665,
5.614068444076111,
-9.944806210864044,
-14.24877620321422,
-12.485681821195612,
-8.658715441575623,
4.379796200872079,
14.540036121736193,
-21.427769878413528,
-16.557947691100708,
-12.739759161318943,
-33.22876138603533,
159.1088350403952,
-10.354755379274138,
-24.680426335406082,
-18.726036195195775,
-20.365598201435205,
-10.461395066329715,
-9.81431653142863,
-29.607315805835242,
45.21078824369397,
3.0367241390558775,
4.60744890353817,
-1.3114588040443778,
3.336708277300204,
-2.240237506965059,
-7.141018601771066
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1765.0565917973506,
0.3359553403448078,
1.1923271082500932e-05,
0.8643614919997787,
176.63795636321797
],
"pcov": null,
"r2": 0.9872874920282819,
"aic": 202.32701513887287,
"residuals": [
23.173545362962557,
4.935977437178536,
-10.366253496298867,
-14.258787615875846,
-12.200814129568471,
-8.17534160642029,
4.9826015825835555,
15.198028038143946,
-20.7661253965978,
-15.933296510537389,
-12.275129257773017,
-32.99155869049855,
159.09394563671867,
-10.616168109427065,
-25.162070498670232,
-19.388154410733705,
-21.263201208260057,
-11.281390894851711,
-10.305668864802442,
-29.623367782293712,
45.69529100573595,
3.922467926326817,
5.674887542384113,
-0.39387355112683053,
3.6709422547177155,
-3.0141231941433944,
-8.361998479006843
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1613.5824000946834,
267066.4426784926,
2.6004362807046638e-08,
60399.09046802996,
-284846.7356565731
],
"pcov": [
[
1345813.4686903954,
-7986561.02433779,
1.973162208282861e-05,
43863687.57958276,
-7987364.204692916
],
[
-7986561.02433779,
47397539.991331585,
-0.00011700599472035369,
-260496475.88550973,
47402315.21264883
],
[
1.973162208282861e-05,
-0.00011700599472035369,
2.929201439287112e-16,
0.0006357368536034023,
-0.00011701743270809389
],
[
43863687.57958276,
-260496475.88550973,
0.0006357368536034023,
1446059734.1214,
-260523407.35898384
],
[
-7987364.204692915,
47402315.212648824,
-0.00011701743270809386,
-260523407.3589838,
47407090.947888166
]
],
"r2": 0.9873236526805816,
"aic": 202.25010436356746,
"residuals": [
24.172255638521165,
5.629527685116045,
-9.938226601982024,
-14.25631733611226,
-12.503169407194946,
-8.682688299857546,
4.352184898569249,
14.511103608238045,
-21.456162971211597,
-16.584334266546648,
-12.759039472788572,
-33.238552229246125,
159.10932351252995,
-10.344343580654822,
-24.661247454583645,
-18.699778283422347,
-20.33074818860041,
-10.43129148898879,
-9.799844754452351,
-29.614925679343287,
45.180102622602135,
2.9878865569480695,
4.55143564613536,
-1.3576765084872022,
3.3230837289593183,
-2.1928750650258735,
-7.06901857763296
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
-1.93470562336361,
-943.1994253726143,
2.0467282041997093e-05,
0.0003818436152814811,
935.3479655363362
],
"pcov": [
[
565.2457651594037,
-4983.910288318439,
-6.170654028566685e-05,
-1.760210339054756,
514.1336240451483
],
[
-4983.910288318439,
44696.50984697521,
0.000568319202431734,
15.543899398242715,
-5165.343722671528
],
[
-6.170654028566685e-05,
0.000568319202431734,
1.0057359420475625e-11,
1.8743860420574333e-07,
-0.00010427620949017281
],
[
-1.760210339054756,
15.543899398242715,
1.8743860420574333e-07,
0.005554715522435567,
-1.5495914051407582
],
[
514.1336240451483,
-5165.343722671528,
-0.00010427620949017281,
-1.549591405140758,
1360.442031573795
]
],
"r2": 0.9874633664942614,
"aic": 201.95086869545483,
"residuals": [
-0.00447532307180154,
9.754287111111125,
-4.852934639534396,
-8.728084057823253,
-7.2055618217096935,
-3.9116939419266146,
8.438767132270527,
17.828636708869794,
-18.946231144796116,
-14.888771929483028,
-12.626557945002787,
-34.48905549054075,
156.7211537362342,
-13.594308602760464,
-28.48957097866554,
-22.83109546558012,
-24.15455633977888,
-12.80229333154,
-10.102376676312247,
-27.75193242776311,
48.84301601514176,
7.694894343218493,
9.231031621372722,
1.9769459103725922,
3.810768342755523,
-6.185746928933099,
-12.738723396342948
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
-19.919514423109085,
-769.4729684259527,
2.1140954400561742e-05,
6101.345827617747,
931.9346623394738
],
"pcov": null,
"r2": 0.987232268419283,
"aic": 202.44405012784878,
"residuals": [
18.533229885524293,
2.311035779726126,
-11.45901642952856,
-13.304720013198903,
-10.117780895158944,
-5.559250461326087,
7.733463776943154,
17.815418135664004,
-18.460696572049187,
-14.054292243909913,
-11.417673359551372,
-33.1919035981216,
157.9361397811291,
-12.558281483001508,
-27.68157810088212,
-22.269081554797765,
-24.170866336421454,
-13.245174199176176,
-10.788211995076495,
-28.51351645086629,
48.14043373727338,
7.151332414092508,
8.915149545656504,
1.9313514107842593,
4.057560417032391,
-5.639934476573671,
-12.103681594372802
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
910.0070629406744,
8.59537681449238e-05,
1.9999999999999998
],
"pcov": [
[
846.1905935508037,
0.0002089941343926842,
9.178946891366829
],
[
0.00020899413439268418,
2.820642352018296e-10,
7.938197946470715e-06
],
[
9.178946891366827,
7.938197946470715e-06,
0.24360333166350168
]
],
"r2": 0.9864484803729803,
"aic": 200.05264729776925,
"residuals": [
7.371164321899617,
4.912131812365404,
0.20629524367294394,
7.3739767132087835,
12.639417628133629,
15.940809770076484,
26.499854791732957,
33.316448944700284,
-6.2886684310986425,
-5.053451970295839,
-7.967565638494989,
-34.160918480311864,
153.56471806652047,
-19.47559742347073,
-36.434854942230515,
-32.27190835020281,
-35.36238442926367,
-23.742455381164973,
-19.477014914343727,
-34.78516616886952,
44.56174794192691,
6.325123365698346,
10.764307665738329,
6.2967394952430595,
10.73522427981709,
3.1262751055351146,
-2.7553444227648924
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
132.86433446393096,
0.09472655968417303,
8.889452378392589e-05,
0.6623104635622423,
48.16849286328658
],
"pcov": [
[
1268.9927510365426,
5.435179902428541,
-0.0032722558101931994,
-13.724549771178607,
3086.8304945775058
],
[
5.435179902428541,
0.03502346558025304,
-2.078252928166586e-05,
-0.10881970954012109,
22.380204067384128
],
[
-0.0032722558101932,
-2.0782529281665864e-05,
1.2347001568596975e-08,
6.41797530613906e-05,
-0.013236637520730591
],
[
-13.724549771178605,
-0.10881970954012109,
6.417975306139059e-05,
0.36257774572590357,
-72.44259483461094
],
[
3086.8304945775058,
22.38020406738413,
-0.01323663752073059,
-72.44259483461094,
14655.628924100214
]
],
"r2": 0.9814850665375051,
"aic": 118.56931947953582,
"residuals": [
10.648267837479551,
-4.854239747585929,
-15.30077791630444,
0.09711577548173977,
5.482624313828779,
5.057618721024397,
2.0619483411333874,
4.2649629677873975,
-5.839706830839418,
2.4374164323863283,
-8.795635997004155,
-2.206911111178215,
24.65716173145435,
-12.072932092998911,
-2.900109008664515,
-3.1821316510424253,
-1.9258990060970689,
-6.552785388856108,
3.94119032925218,
5.768074530485762,
4.182722869688689,
-0.7603351464249499,
-0.8674154145720934,
-2.292338899845106,
-5.583843364004366,
2.926562901177107,
1.6093733681767617
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
132.87449941003652,
0.09479434969854637,
8.885438574866366e-05,
0.6620970821233224,
48.212128526075674
],
"pcov": null,
"r2": 0.9814850664335248,
"aic": 118.5693196311683,
"residuals": [
10.647508540976347,
-4.854350380273885,
-15.30050071594546,
0.09772111713771636,
5.483249846016918,
5.058129035352579,
2.062289685794326,
4.265122328940123,
-5.8397217633816325,
2.4372451943949045,
-8.796050311434328,
-2.2074733577541963,
24.65653618173701,
-12.073551606255194,
-2.9006685883041996,
-3.1825914295701523,
-1.926010389582757,
-6.552514296027965,
3.941787648260174,
5.76888819142485,
4.183613779627763,
-0.759519098169477,
-0.8668286645500416,
-2.2921312315048112,
-5.584155467398659,
2.925602116617881,
1.6081948004620585
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
124.78470813130703,
-1163.9992125445385,
8.420672213733185e-06,
7450.51639125409,
48.16850578539341
],
"pcov": [
[
657.5844073671882,
-9101.91189306835,
0.00011053021803972946,
85161.64172499905,
1905.7789030490362
],
[
-9101.91189306835,
136917.72189212506,
-0.0019825767047027525,
-1233570.9582049488,
-36358.002417742624
],
[
0.00011053021803972945,
-0.001982576704702752,
3.754910039044209e-11,
0.01638447184615618,
0.0007356163626871874
],
[
85161.64172499905,
-1233570.9582049488,
0.016384471846156184,
11593894.858413948,
294475.0542017579
],
[
1905.7789030490362,
-36358.00241774262,
0.0007356163626871874,
294475.0542017579,
14655.625927480749
]
],
"r2": 0.9814850665374285,
"aic": 118.56931947964758,
"residuals": [
10.648274854148369,
-4.854236780375558,
-15.30077772566283,
0.09711273183411606,
5.482619800981041,
5.057613679495375,
2.061943295703003,
4.264958216890847,
-5.8397111189752735,
2.4374126972961108,
-8.795638529122073,
-2.206912460180888,
24.657161464324957,
-12.072931408277924,
-2.90010750765623,
-3.1821294644554428,
-1.9258956128331306,
-6.552781378234272,
3.9411945183638863,
5.768078577916526,
4.182726545645096,
-0.7603320035169077,
-0.867412914844067,
-2.2923371146148384,
-5.583842335309782,
2.9265631533398277,
1.6093733860701036
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
124.7861937890758,
-1164.0200123163024,
8.420927062649237e-06,
7450.716323263221,
48.17297364322077
],
"pcov": [
[
657.6349947817743,
-9102.451110727017,
0.00011053616271550695,
85168.50315452606,
1905.7590825486168
],
[
-9102.451110727017,
136921.50194202922,
-0.001982595031189768,
-1233641.4353119603,
-36355.88069078545
],
[
0.00011053616271550695,
-0.001982595031189768,
3.754913037230835e-11,
0.016385245792395878,
0.0007355698847242969
],
[
85168.50315452606,
-1233641.4353119603,
0.016385245792395878,
11594834.522074154,
294469.72111250274
],
[
1905.7590825486168,
-36355.88069078545,
0.0007355698847242969,
294469.7211125027,
14653.778290449569
]
],
"r2": 0.9814850665374969,
"aic": 118.56931947954781,
"residuals": [
10.648012036972418,
-4.854336495177968,
-15.300772229474088,
0.09722648794247846,
5.482767944418356,
5.057760253251644,
2.0620708214816403,
4.265058834642957,
-5.8396400598878415,
2.4374544178672863,
-8.795649291686743,
-2.206963990579453,
24.657081377225893,
-12.073029024468212,
-2.9002133207267207,
-3.1822358926910965,
-1.9259806527419414,
-6.552827757723776,
3.9411902286203713,
5.768110930345415,
4.182784673064816,
-0.7602620232743789,
-0.8673464501575552,
-2.2922898922624313,
-5.583829714230774,
2.9265266552283435,
1.6093194856952096
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
124.04687951926483,
-1153.3886240090544,
8.281974260159067e-06,
7352.962748939724,
45.66401862809638
],
"pcov": null,
"r2": 0.9814842216002732,
"aic": 118.57055160844283,
"residuals": [
10.755621878227124,
-4.823044875482736,
-15.317645978632562,
0.0332404228942238,
5.406761390438689,
4.986392469894099,
2.0031056527414535,
4.221684517163283,
-5.866675413681946,
2.4261907140510175,
-8.779498974878578,
-2.1702420098396544,
24.70760558338216,
-12.01466360168277,
-2.8389670163211065,
-3.1220822038089295,
-1.8803214833503148,
-6.5301205413262835,
3.9398561967028627,
5.7463154722949525,
4.146923259974642,
-0.8022363234437648,
-0.9067744036008776,
-2.320379252068534,
-5.592036084734104,
2.9462531262922482,
1.638901543963101
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
168.5027880060432,
0.000341553183910264,
1.8073946101628777
],
"pcov": [
[
12.230930234205884,
8.718652048986048e-05,
0.7756936464176171
],
[
8.718652048986048e-05,
2.1111656426121113e-08,
0.00011681793945501801
],
[
0.7756936464176171,
0.00011681793945501799,
0.6696380244435011
]
],
"r2": 0.9547050091500052,
"aic": 138.7240278479835,
"residuals": [
7.40284538269043,
1.197746483834405,
-7.920171125379429,
4.462930271095587,
6.204829213697124,
3.0052705385190706,
-1.785493521202369,
-0.505344293165578,
-10.811062423657688,
-2.1646909370484764,
-11.48209024240333,
-2.1101294258873224,
27.807324162291962,
-5.974303626015995,
5.8243704473849505,
7.7331064709346435,
12.365211366177078,
8.346017195869592,
17.271949969684528,
15.953320212285632,
10.132064956215487,
0.23229977885966946,
-5.27892103434516,
-12.354968750794399,
-21.39806141397665,
-18.63292184074149,
-21.66026165772749
]
}
}
]