pythia-massive-activations / pythia_6.9b /params /layer_fit_params.json
JorgeeGF's picture
Replace dataset files
c4c539a
[
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
2.5012109716910047e+22,
43.876978832581216,
6.736595344153424e-07,
0.9678294215495021,
288.00577495742135
],
"pcov": [
[
3.3271033134125756e-46,
-8.388233381450114e-24,
-8.775188297565237e-31,
1.1441723222126755e-25,
-1.306661672102998e-22
],
[
-8.388233381450114e-24,
0.21148630095826912,
2.2139104912789423e-08,
-0.002884556525979124,
3.2903702999167375
],
[
-8.775188297565237e-31,
2.2139104912789423e-08,
2.596805619920698e-15,
-3.0277689388220647e-10,
3.2812025077957764e-07
],
[
1.1441723222126755e-25,
-0.002884556525979124,
-3.0277689388220647e-10,
3.9373345781844066e-05,
-0.0450547229274199
],
[
-1.306661672102998e-22,
3.290370299916738,
3.2812025077957764e-07,
-0.0450547229274199,
55.60421489784505
]
],
"r2": 0.9971324857178766,
"aic": 97.02417793959854,
"residuals": [
15.003187433782443,
1.9748205490384976,
-8.114574203314817,
-8.285307051731309,
-6.690738512477594,
4.602666749287408,
-1.0260559351639813,
-1.0645706542756557,
-2.6601433579762386,
-0.01710455303404501,
1.066414327880068,
-3.4614918906227956,
1.8999057547997609,
-4.00811292905837,
16.41034845023387,
2.7702551603532584,
-0.9301020256736479,
-1.9497978735474817,
-0.8591022960537202,
-3.7582215204883482,
-4.162224646786399,
-3.4004442496813567,
1.867941627384198,
1.8916777675232765,
2.8853568919682857
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
4355.783617755682,
3.0454168585022225,
8.017319067698108e-06,
0.631580961750771,
284.7721076683031
],
"pcov": null,
"r2": 0.9969781809734342,
"aic": 98.33451359062681,
"residuals": [
15.43397446143382,
2.2165254835542214,
-8.028535920822435,
-8.425110900945185,
-6.963783326821755,
4.267250113738555,
-1.370837666422858,
-1.3803037882857154,
-2.9202498487936452,
-0.20452139113609746,
1.046928330400533,
-3.315987419770721,
2.183249052544795,
-3.62582550585293,
16.849182623831894,
3.224958693165263,
-0.57839038857378,
-1.8198301755994635,
-0.9727284636438753,
-4.0699148455676095,
-4.590195583959087,
-3.8510600025981034,
1.6261694812861265,
2.090683082895339,
3.161763896799016
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
31610.8585880317,
-488454.9332390284,
2.980623995070816e-05,
5089978.434740116,
288.02482610475494
],
"pcov": [
[
9531227.91552219,
-147072470.48073575,
-0.006628556591677406,
-15011285.622541014,
-21680.798265064706
],
[
-147072470.48073575,
2269415026.2225714,
0.10227726913590997,
231632997.2676045,
334536.16861291666
],
[
-0.006628556591677406,
0.10227726913590997,
6.545539351108581e-12,
0.010439163802483718,
1.6778179240392373e-05
],
[
-15011285.622541016,
231632997.26760453,
0.01043916380248372,
23642147.77959374,
34145.19814525695
],
[
-21680.798265064706,
334536.16861291666,
1.6778179240392373e-05,
34145.19814525695,
55.50733400203178
]
],
"r2": 0.9971330555113922,
"aic": 97.01920978532127,
"residuals": [
15.002602913007252,
1.97474751784182,
-8.114229412235431,
-8.284369697098953,
-6.689476462445015,
4.604044306420803,
-1.0247223462081365,
-1.0633986590424627,
-2.6592156106337654,
-0.016474736197835682,
1.0663777311027047,
-3.4621797246035158,
1.898667066033937,
-4.009756396625704,
16.40846387243971,
2.7682914119349675,
-0.9316673973831939,
-1.9504281420836378,
-0.858660009334983,
-3.7568793874185076,
-4.160346024715636,
-3.398475574322788,
1.868793373771723,
1.8901364902287696,
2.88338898697657
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
192.88289122406243,
-1997.518297630175,
8.264646487953996e-06,
9999.999999999998,
202.55022560696122
],
"pcov": [
[
867.9475062509177,
-8876.68636382085,
5.4330038754309095e-06,
77894.64538228356,
-510.7621885298766
],
[
-8876.686363820852,
155560.39131079192,
-0.0022973200853021306,
-1565312.3506103402,
-45405.35136522938
],
[
5.433003875430909e-06,
-0.00229732008530213,
7.796481771788825e-11,
0.0268731465993587,
0.0017514436040550762
],
[
77894.64538228356,
-1565312.3506103402,
0.0268731465993587,
16383116.962063927,
552574.2510256252
],
[
-510.76218852987716,
-45405.35136522938,
0.0017514436040550762,
552574.2510256252,
39899.01423582285
]
],
"r2": 0.9925116263840902,
"aic": 121.02183000261121,
"residuals": [
26.21120767801861,
7.830368863668298,
-6.3318296356654855,
-11.825001939028198,
-12.947948738067936,
-2.693559054473596,
-8.282173006890147,
-7.601320122652169,
-8.070463246467,
-4.08139600328542,
-0.12515990551574419,
-1.99965020527884,
5.524453729597127,
1.198666549514428,
22.62435631261343,
9.470177667532027,
5.215163181829155,
2.102989640328701,
0.579929292717793,
-4.764716458579642,
-7.039769239180714,
-7.37689430211924,
-1.8485055433957314,
1.287393380589947,
2.9434456762344325
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
281.19698672230834,
-3104.9657770729323,
1.641043635246784e-05,
23050.338013604767,
269.331543743764
],
"pcov": null,
"r2": 0.9959130193318246,
"aic": 105.88320103451889,
"residuals": [
18.648196369629773,
4.010051314072086,
-7.371489737782497,
-9.353593419087929,
-8.780302208802937,
2.057954573727585,
-3.6276941896129244,
-3.4511470683295045,
-4.654569343452806,
-1.5134134896311195,
0.6863811174809484,
-2.7738796561772574,
3.469185708161916,
-1.7990211219226069,
19.009079365457808,
5.526792523542724,
1.4297217164441918,
-0.649452427482629,
-0.7872235746799561,
-4.753887010773894,
-5.884564216933882,
-5.439439900956188,
0.3714834688321389,
2.1200933284044368,
3.440196979984364
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
304.7025743040547,
0.00017741891215832122,
1.6888361464404815
],
"pcov": [
[
5.097041797531617,
7.718768957487194e-06,
0.13930060939656244
],
[
7.718768957487194e-06,
2.0829108187476618e-10,
2.1936545598442617e-06
],
[
0.1393006093965624,
2.1936545598442617e-06,
0.024588414659015
]
],
"r2": 0.9973190016248376,
"aic": 91.3427705020972,
"residuals": [
7.760215759277344,
5.475118912225556,
0.1996098376687776,
1.312479216056225,
0.24807927937847296,
8.29488659719641,
-0.15700304769090678,
-2.3609334631349554,
-5.477757062620242,
-3.796039565364765,
-3.3355074328930527,
-7.30246680519835,
-0.7032478154150965,
-5.05514186473539,
16.992433334479472,
4.893124122399968,
4.108175132445922,
4.352502047486212,
5.224609760947828,
1.032195471540092,
-1.3229495113561711,
-2.829474479190935,
-2.149107923212398,
-6.02232895987828,
-5.530818568311815
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
3.6592286485276384e+23,
46.41047614746785,
6.790130222595468e-07,
0.9721412017365384,
257.33382345899946
],
"pcov": [
[
5.807486355073809e-49,
-2.146722446584978e-25,
-2.608190001791847e-32,
2.708200528374361e-27,
-3.4700144877521186e-24
],
[
-2.1467224465849785e-25,
0.07935398123579568,
9.646419458350855e-09,
-0.0010010314564618847,
1.2813064382949866
],
[
-2.6081900017918477e-32,
9.646419458350855e-09,
1.3441591148656683e-15,
-1.2224337776314426e-10,
1.480373325177757e-07
],
[
2.708200528374361e-27,
-0.0010010314564618847,
-1.2224337776314423e-10,
1.2644446865051135e-05,
-0.016252120665902238
],
[
-3.470014487752119e-24,
1.2813064382949866,
1.480373325177757e-07,
-0.016252120665902238,
22.754584436567008
]
],
"r2": 0.9981209561944466,
"aic": 80.76210486002621,
"residuals": [
13.363452276678515,
1.0307931447717635,
-9.188785023946963,
-7.02602340320891,
-3.786971176274193,
3.3707003488015914,
-0.4745150477757818,
-0.6008406370823991,
-0.377370963971714,
-0.7712324716813725,
0.4190275614332677,
-1.9914344095415686,
3.6469456179538042,
0.34222507803727353,
4.687686676302434,
3.760896478698669,
-1.3744215178114132,
-2.377176616679776,
-1.8492501625759132,
-0.9184825390311744,
-1.8104467916086264,
-2.669956816108595,
2.054348662257553,
1.4445688056425183,
1.0853775220555235
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
4157.578801414912,
2.963456798884048,
8.813356006163387e-06,
0.6501212934027353,
254.4901673323428
],
"pcov": null,
"r2": 0.9979828580475277,
"aic": 82.53506988832889,
"residuals": [
13.806957578638531,
1.2731214929666805,
-9.110396474520371,
-7.181122857071188,
-4.074594820010361,
3.026483413005508,
-0.8197123356595455,
-0.9077825176142085,
-0.6199118258046781,
-0.9335818872356754,
0.43396249576142054,
-1.81064602597084,
3.958618448834045,
0.7398377194601835,
5.124943976749904,
4.195341602346133,
-1.0861792162746724,
-2.335668116721422,
-2.05267297795956,
-1.3009809086415203,
-2.2772213137531594,
-3.1223424989117348,
1.8747693656699198,
1.733719753787966,
1.452486365915206
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
34629.129997238124,
-536950.2419083352,
3.1767324830556255e-05,
5379681.359016275,
257.34896062324947
],
"pcov": [
[
4299376.684139173,
-66577621.66977003,
-0.0030286927576222574,
-7072721.795751785,
-9025.236135097086
],
[
-66577621.66977003,
1030981955.4249188,
0.046896794949128615,
109524016.6862074,
139752.4376271088
],
[
-0.0030286927576222574,
0.046896794949128615,
3.6133652763855805e-12,
0.004981975612572288,
7.813133497240922e-06
],
[
-7072721.795751785,
109524016.6862074,
0.0049819756125722885,
11635034.122531975,
14846.284407103474
],
[
-9025.236135097086,
139752.4376271088,
7.813133497240922e-06,
14846.284407103474,
22.720033180703847
]
],
"r2": 0.9981214062422065,
"aic": 80.75611641975689,
"residuals": [
13.36238929304568,
1.0302797724791048,
-9.18884914127105,
-7.025448040920907,
-3.786039718280989,
3.3717687466243547,
-0.47347491361983884,
-0.599948962410565,
-0.376710700681258,
-0.7708560457905946,
0.4187729901343573,
-1.9922933500588442,
3.6455927091378726,
0.3405305722343712,
4.68581594443171,
3.75900861194188,
-1.3757922032662577,
-2.3775701666329496,
-1.848607978769678,
-0.9170345057203235,
-1.8085812985329426,
-2.6681130709727654,
2.0549695197176447,
1.4429206140280257,
1.0833415004378821
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
209.61730646461223,
-1133.6703777608482,
1.7566618911609074e-06,
9997.971574897789,
-808.5019875002256
],
"pcov": [
[
1098.579703230821,
122162.12991063722,
-0.00017852556697681924,
15880.430111563217,
-132570.32347278454
],
[
122162.12991063723,
38563840.868508555,
-0.054624509625480724,
-11758379.031677755,
-39456512.83953137
],
[
-0.0001785255669768193,
-0.054624509625480724,
7.74200537539529e-11,
0.0162218612264492,
0.05594775031885133
],
[
15880.430111563212,
-11758379.031677755,
0.0162218612264492,
7802279.13019639,
11461668.051798848
],
[
-132570.32347278457,
-39456512.83953137,
0.05594775031885133,
11461668.051798848,
40450640.84003711
]
],
"r2": 0.9924815218320792,
"aic": 115.42712268023364,
"residuals": [
19.1320956794998,
2.7145175434058046,
-10.436723000360871,
-11.656313169419832,
-9.5960070121846,
-2.2824301303754737,
-5.18723461548052,
-3.9461237772943605,
-2.163712625279345,
-0.9627162351935112,
3.1545839973722423,
3.008209419385935,
10.117480908595553,
7.509734976480331,
11.867960321833834,
10.388297193066137,
2.2048348041821555,
-2.884853081531901,
-6.237664789083055,
-8.209652861164841,
-10.614065769116905,
-11.428883652012019,
-1.9914294115787925,
7.524867491520581,
9.07865134927647
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
264.9436103829404,
-2901.7142648806544,
1.8125985971534503e-05,
22111.26584478837,
242.1339531491612
],
"pcov": null,
"r2": 0.9970150883736609,
"aic": 92.33228253760694,
"residuals": [
16.690102828212332,
2.7992294016165147,
-8.653642719633865,
-8.176073470550307,
-5.835955230964203,
0.9739599104390777,
-2.841448140201308,
-2.688889530550739,
-2.0324239737807943,
-1.9090154923872262,
0.3794797132426595,
-1.0391576994744014,
5.368128167054664,
2.571908465806672,
7.172029666444558,
6.275641352570318,
0.5032489317275122,
-1.6544122862583208,
-2.3142667388787004,
-2.312213306560352,
-3.7389888779301828,
-4.710943827280232,
0.8860441764474558,
2.130695724768657,
2.0979679023282642
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
274.0091226150473,
0.0001922744256375857,
1.6377926066230422
],
"pcov": [
[
3.5830993884120286,
6.471583040390631e-06,
0.10526541811435151
],
[
6.471583040390631e-06,
2.2645614119352958e-10,
2.1255495524956e-06
],
[
0.10526541811435151,
2.1255495524956e-06,
0.021262750660635845
]
],
"r2": 0.9973845379175986,
"aic": 85.02904868680517,
"residuals": [
7.5639472007751465,
5.557301983547325,
-0.43116126756072504,
2.003336129273407,
1.997485574580324,
5.679109635109697,
-0.9786479207966465,
-3.106992392243342,
-4.147655206830848,
-5.192370383402704,
-3.9502043419109043,
-5.163085504996559,
2.238051236680775,
0.8721788283772867,
7.082913482119324,
7.797382951677207,
5.366102207597351,
5.025949536938583,
4.619468031684221,
3.597609236358835,
0.23347135983470935,
-3.2547083473572798,
-3.416865678844715,
-7.8494385616538125,
-8.681297127380162
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
3.2998108521091176e+23,
46.32740410146925,
7.304236163478429e-07,
0.9734961662551785,
225.73055551665948
],
"pcov": [
[
6.365785846483869e-49,
-2.1275218298826056e-25,
-3.0424599441305074e-32,
2.647759366995333e-27,
-3.217709423873097e-24
],
[
-2.1275218298826056e-25,
0.07110492370647842,
1.0172934795619892e-08,
-0.0008848660630776676,
1.0743221433616645
],
[
-3.0424599441305074e-32,
1.0172934795619892e-08,
1.7123898619332486e-15,
-1.2746418476644312e-10,
1.4538764474435157e-07
],
[
2.647759366995333e-27,
-0.0008848660630776676,
-1.2746418476644312e-10,
1.1034104374787948e-05,
-0.013467846128011128
],
[
-3.217709423873097e-24,
1.0743221433616645,
1.4538764474435157e-07,
-0.013467846128011125,
18.198279979658864
]
],
"r2": 0.997434798662363,
"aic": 81.55150760178414,
"residuals": [
11.443340545989969,
-0.8998709360729151,
-8.518815230574404,
-4.064083811170747,
-1.125295183636183,
2.407090823532002,
0.6532906946428625,
-1.08933788302852,
-1.2615983302857217,
-1.8262439919215296,
0.9680292931898293,
-3.6165867785301202,
4.168446769106964,
-3.163903147875203,
11.166408438556687,
2.2100919065101436,
-2.9656180536923955,
-2.1352208571495623,
-2.097379240757647,
-1.868801405136736,
-0.200938518968087,
-2.249784840502457,
1.5663737229292565,
1.006257576891528,
1.483718524060066
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
4252.213656972147,
3.0223084833562446,
9.385848196959733e-06,
0.667896806500182,
223.62465555125007
],
"pcov": null,
"r2": 0.9972833860920666,
"aic": 82.98523880817923,
"residuals": [
11.860539757466256,
-0.6796301056756704,
-8.45740987551045,
-4.224585285413639,
-1.4065361395647074,
2.079877358322591,
0.33370885310452536,
-1.364514341037932,
-1.46885089513205,
-1.9523679290210794,
1.0141365150485058,
-3.416821009409148,
4.482611566636848,
-2.7818590998821833,
11.570733082484566,
2.5966457236810925,
-2.7459204750785773,
-2.1567708180091074,
-2.338583351907914,
-2.254757038988487,
-0.6382043000410533,
-2.648852350524038,
1.4448009726600333,
1.2998301784254522,
1.8431286942063423
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
31460.015071834747,
-485198.27210246114,
3.4109685467538486e-05,
4952462.675260175,
225.74286218470658
],
"pcov": [
[
3207061.393969315,
-49398961.40212532,
-0.002618348161363936,
-5153774.602525633,
-6685.357070171294
],
[
-49398961.40212532,
760901382.433918,
0.04032578269024926,
79384547.93630993,
102967.8240027675
],
[
-0.002618348161363936,
0.04032578269024926,
4.4931090262371846e-12,
0.0042071754683635654,
7.591061859401913e-06
],
[
-5153774.602525633,
79384547.93630992,
0.004207175468363565,
8282159.287050603,
10742.596664996116
],
[
-6685.357070171294,
102967.82400276749,
7.591061859401911e-06,
10742.596664996116,
18.1730701207296
]
],
"r2": 0.9974353538190197,
"aic": 81.54609655733455,
"residuals": [
11.443180349655478,
-0.899465858778683,
-8.51795786180088,
-4.062610745797855,
-1.1235183483231594,
2.408934691074478,
0.6550272873651579,
-1.0878314419550605,
-1.2604029425322665,
-1.8254066812315273,
0.9681113937832322,
-3.6171952654092365,
4.16729553727302,
-3.165412810447606,
11.164729880764781,
2.2084193912426997,
-2.9666943568460624,
-2.1352740640720356,
-2.0964179627594035,
-1.8671172625163308,
-0.19895542707988056,
-2.2479458740018003,
1.5668356239023637,
1.0045002066890163,
1.4815992232698818
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
163.13198732681943,
-1707.008513715073,
1.3198502066842463e-05,
9999.999999999998,
192.68024186382019
],
"pcov": [
[
826.3151884022107,
-9936.059939880462,
0.00011467246254022725,
112389.22490344897,
584.6669200435206
],
[
-9936.059939880462,
122988.09136723726,
-0.0016769674812959795,
-1425790.4540663515,
-9345.371096390218
],
[
0.00011467246254022723,
-0.0016769674812959795,
4.203889846150438e-11,
0.021630664798763816,
0.0002801702481209598
],
[
112389.22490344897,
-1425790.4540663515,
0.02163066479876382,
17051668.767348323,
127231.63866143233
],
[
584.6669200435206,
-9345.371096390218,
0.0002801702481209598,
127231.63866143233,
1951.9883712527749
]
],
"r2": 0.9936068560953827,
"aic": 104.38123713928461,
"residuals": [
19.316511453061537,
2.7896523924218855,
-7.9282069121410075,
-7.317243828182626,
-6.10320050632059,
-2.982418963483312,
-4.3474131238768905,
-5.235671743071961,
-4.3098857442115275,
-3.6804940645953934,
1.4333160431800707,
-1.2339312620353553,
7.921103468307791,
1.4048448587452356,
16.055868912627375,
7.010048157669473,
0.40519125859248106,
-0.9613538183156152,
-3.0543902541193404,
-4.434330679810046,
-3.6646268033747447,
-5.880116158146279,
-0.52893762856678,
2.138187889623566,
3.1874877273351956
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
244.35858368591093,
-2663.86568959414,
2.0633473417706716e-05,
21834.674748678928,
215.5787648569688
],
"pcov": null,
"r2": 0.9963217469301808,
"aic": 90.56153161265314,
"residuals": [
14.327477220277785,
0.5650094644747696,
-8.163831033007654,
-5.191866337351371,
-3.00384751540318,
0.2812921053448463,
-1.3830105545413574,
-2.821232844581189,
-2.562903790641201,
-2.6349075233358974,
1.161566397060966,
-2.5623569536408013,
5.850477442477143,
-1.1068645158426307,
13.363659920385174,
4.348942322649776,
-1.5609622708510926,
-1.8245491522997952,
-2.812040831186181,
-3.3112566233710936,
-1.991394105234889,
-4.016481268003133,
0.7234090571390368,
1.767386488591569,
2.5117289426222555
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
241.04179967911165,
0.00021466487126943352,
1.6494963304117318
],
"pcov": [
[
4.524070735219921,
1.103293765622634e-05,
0.1576016087662527
],
[
1.1032937656226337e-05,
5.554579057311469e-10,
4.656673076486131e-06
],
[
0.1576016087662527,
4.656673076486131e-06,
0.04137298587864684
]
],
"r2": 0.9952493580997155,
"aic": 92.95757700355176,
"residuals": [
7.489368438720703,
4.558973996721378,
0.14587773567471274,
3.542848594777837,
2.8587598576771853,
3.0696860724032717,
-1.1086565629623806,
-4.385342964226723,
-5.346764799204095,
-6.1151849545912285,
-2.5183539132340798,
-5.378929434884981,
4.4744267592512585,
-0.8077626782706773,
15.341104847419672,
7.859560596122492,
4.673249309963154,
5.346868221404179,
3.764153832777396,
1.5786534540180241,
0.5420666155612253,
-4.1757077545934465,
-4.951363574550669,
-8.823756014948515,
-8.73873962867276
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
840.1743680456193,
10.41655615692076,
1.5930582692935433e-06,
0.05342145298212535,
1378.7112220134995
],
"pcov": [
[
4794953468.289242,
-194649235.17086327,
25.633884887368538,
960046.340803044,
-40377032.62448227
],
[
-194649235.17086327,
7903053.451504579,
-1.040761548691114,
-38976.907161357034,
1637970.673723403
],
[
25.633884887368534,
-1.040761548691114,
1.370591339609715e-07,
0.005132933970075446,
-0.2157220070007707
],
[
960046.3408030439,
-38976.90716135703,
0.005132933970075446,
192.23378839877373,
-8080.822506603631
],
[
-40377032.62448227,
1637970.6737234027,
-0.21572200700077074,
-8080.822506603633,
341753.5365176689
]
],
"r2": 0.9942472101778406,
"aic": 186.43601094470844,
"residuals": [
40.202665418902825,
3.1907510436947177,
-15.908730191509676,
-7.141602588227897,
3.7886276402080057,
-4.691841258397517,
-13.545941040199068,
-20.395204834828746,
-22.28491221998445,
-19.656335767310566,
-26.68263860658385,
-12.705909353980132,
28.950444964488952,
-0.7188170335716677,
78.3116387229586,
57.95260356981339,
28.578498721509163,
5.7210524982463085,
-27.71073562817878,
-51.51090136222001,
-70.85646041246173,
-44.31824030564326,
17.124085569267663,
31.05059521786211,
43.258202916328855
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
959.7872812793388,
8.849571042757988,
1.861342038779046e-06,
0.0683440303597125,
1375.2907950710662
],
"pcov": null,
"r2": 0.9942433225577374,
"aic": 186.45289973791554,
"residuals": [
39.28214591900087,
2.573930599045525,
-16.268131396204126,
-7.103183357379294,
4.09880676452417,
-4.2071477951722045,
-12.961526154317653,
-19.768266354180014,
-21.65879660351652,
-19.06344753931262,
-26.22055711447092,
-12.42146550821019,
29.041710514065585,
-0.8169187565321181,
78.03958814590976,
57.52857018493944,
27.88673944727327,
4.918928377355087,
-28.49133944058235,
-52.17020152953842,
-71.32449407702575,
-44.54983945020717,
17.42789029211849,
31.89463923067342,
44.18003462622005
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
481.2625689353464,
-6425.384035074623,
1.659375061963774e-05,
33500.61420003037,
1378.748434262723
],
"pcov": [
[
1781136006.9733646,
-19082823279.967545,
-26.098616129125432,
38252304911.430504,
-24336290.509242266
],
[
-19082823279.967545,
204450646117.6607,
279.61423643268995,
-409840981246.8819,
260747872.51632392
],
[
-26.098616129125432,
279.61423643268995,
3.8245945835112437e-07,
-560.3123745105694,
0.3563435847959161
],
[
38252304911.430504,
-409840981246.8819,
-560.3123745105694,
822426436834.391,
-523692523.2610326
],
[
-24336290.509242263,
260747872.51632386,
0.35634358479591605,
-523692523.2610325,
334603.4707603167
]
],
"r2": 0.9942472097795045,
"aic": 186.43601267576418,
"residuals": [
40.21389332223316,
3.198297068767488,
-15.904299988624189,
-7.141977362785838,
3.784979058165618,
-4.697587519764284,
-13.552884043429913,
-20.402658275999556,
-22.292358034486597,
-19.663388265642084,
-26.68814319952628,
-12.70931806391036,
28.94930729074622,
-0.7177373960065552,
78.31474590836149,
57.95747283390324,
28.5864328680575,
5.730191457427281,
-27.701932703932243,
-51.503584874124726,
-70.8514228824904,
-44.31597984453424,
17.120152501114035,
31.04051847876326,
43.24724995020779
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
46.22441156797656,
-1813.498088609879,
2.3658972702334365e-05,
9999.999999999998,
1358.2846618876833
],
"pcov": [
[
407761.11254299275,
-4185426.279658447,
-0.007093180750578033,
89276586.52117392,
26333.89511905088
],
[
-4185426.279658447,
42967362.8202281,
0.07265042306843476,
-918264301.8821169,
-269329.13134522806
],
[
-0.007093180750578032,
0.07265042306843476,
1.3046100552139832e-10,
-1.4961413420721585,
-0.0005351113404657073
],
[
89276586.52117392,
-918264301.882117,
-1.4961413420721588,
20171153791.594364,
5263488.359561576
],
[
26333.89511905088,
-269329.13134522806,
-0.0005351113404657073,
5263488.359561576,
2831.36901068489
]
],
"r2": 0.9939987263195907,
"aic": 187.4931810237377,
"residuals": [
37.47740870732605,
0.854100375220014,
-17.762120397378567,
-7.926947333817225,
4.030993180363566,
-3.5692515947971515,
-11.73229700402976,
-18.0873874639625,
-19.670005245723473,
-16.903061584256534,
-24.070143353090202,
-10.643350277437207,
30.210302521148037,
-0.38928301309317703,
77.67794495924511,
56.391404827200404,
25.126767139459616,
1.2176248313721771,
-32.40309214297122,
-55.65474943740446,
-73.8885037070263,
-45.848931593432326,
19.186625845047956,
36.817985454573545,
49.557966945652424
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
31.43173938181206,
-1667.9891006279652,
2.4103638300016215e-05,
8379.938225009753,
1355.7187637560762
],
"pcov": null,
"r2": 0.9939826512375571,
"aic": 187.56005678964138,
"residuals": [
36.3352533430982,
0.0413807032762179,
-18.279013579609682,
-7.961356055470105,
4.342852512334048,
-3.0259082757033866,
-11.049715382173417,
-17.337875995212357,
-18.90922917632861,
-16.173119840562777,
-23.486578908287584,
-10.26910563273566,
30.352839760866686,
-0.47553910255101073,
77.38109566371861,
55.91083788764229,
24.32592845818681,
0.29079955899851484,
-33.29651567073415,
-56.39911816183553,
-74.40826052313241,
-46.1010504119422,
19.507708360660217,
37.67349401772526,
50.48669603164558
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1312.7595557676952,
0.00010839688858834629,
1.9999999999999967
],
"pcov": [
[
642.8019172881953,
0.00014317134026088171,
4.867930850932727
],
[
0.0001431713402608817,
2.536483128511225e-10,
5.427409325889858e-06
],
[
4.867930850932727,
5.427409325889858e-06,
0.12442788983966142
]
],
"r2": 0.9930024926201262,
"aic": 187.33273778081835,
"residuals": [
8.006546020507667,
1.4309908933691053,
1.4549443945775309,
28.343021414814842,
43.4544352507767,
33.05907382191526,
19.725105206378544,
7.431238260016983,
-0.13573732557097173,
-3.078289098146172,
-20.37944015908772,
-15.2134183854821,
19.161880097111748,
-16.317580477857632,
58.26771924421348,
34.70269183208018,
1.8643847016945756,
-19.52866761385212,
-48.25509385709847,
-65.41871531058973,
-77.15645067664423,
-42.71029480533048,
33.82689797677699,
60.58508680123941,
74.48498476918917
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1164.2949105841356,
3.6452697953993003e-23,
1828667927390011.0,
3.0167127884395614e+19,
-52232.67249569186
],
"pcov": [
[
1.2886732761279278e-94,
-1.6947111085695248e-71,
7.6332782673819e-109,
4.1573325032522985e-113,
2.818138614330907e-96
],
[
-1.6947111085695246e-71,
2.228684178303576e-48,
-1.0038387319867299e-85,
-5.4672333987155715e-90,
-3.7060835385254046e-73
],
[
7.6332782673819e-109,
-1.00383873198673e-85,
4.521467014692761e-123,
2.4625385219989537e-127,
1.6692855076406794e-110
],
[
4.1573325032522985e-113,
-5.467233398715572e-90,
2.4625385219989537e-127,
1.3411788591231938e-131,
9.09147374828096e-115
],
[
2.8181386143309066e-96,
-3.7060835385254046e-73,
1.6692855076406794e-110,
9.091473748280959e-115,
6.16285399620138e-98
]
],
"r2": 0.994637169840749,
"aic": 204.8607719715321,
"residuals": [
75.3123385642466,
10.697738366056,
-26.182942780542362,
-29.295175369887147,
-19.728303599418723,
-15.723357799375663,
-32.786878636848996,
-31.014530741267663,
-32.7354834739308,
-33.542818459252885,
-10.227715321016149,
19.38422523179179,
41.2647075815039,
31.94455851658131,
115.44302213921037,
49.055798426088586,
29.843275108520174,
-26.17618840692012,
-19.040319806488696,
3.6047349998843856,
-135.66690564994497,
-69.19821374343883,
45.47795374089765,
46.49293865505024,
12.797556216020894
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
982.4311869389709,
0.39554715367382864,
7.722136313070948e-06,
0.11950445786780399,
1924.9526726637528
],
"pcov": null,
"r2": 0.9945475752552937,
"aic": 205.2749861340624,
"residuals": [
73.46032304643222,
9.241223760528783,
-27.24475322058788,
-29.61781981962622,
-19.41929190836254,
-14.907868062299485,
-31.589351075883314,
-29.55022557151392,
-31.107030646256362,
-31.83928724708676,
-8.589191933564052,
20.74722282754783,
42.21684169099649,
32.40840301073058,
115.38486007024676,
48.474448980890884,
28.08966336200797,
-28.75719835122868,
-22.025205267113506,
0.644286010146061,
-138.20780139436783,
-70.97635616559546,
46.01240346568329,
49.98069239816118,
16.754820026102607
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1169.230923621881,
754081.466880243,
4.841525252001244e-09,
16532.980193649975,
-765506.0117302529
],
"pcov": [
[
73500.8367168153,
-403390.96557947184,
8.051932994682066e-07,
1386257.1934614505,
-403403.15817050746
],
[
-403390.96557947184,
2214584.639346953,
-4.404696628156574e-06,
-7633946.688525952,
2214651.4639464812
],
[
8.051932994682066e-07,
-4.404696628156574e-06,
9.186897890492486e-18,
1.4656621299637346e-05,
-4.404832044930984e-06
],
[
1386257.1934614503,
-7633946.688525954,
1.4656621299637346e-05,
27233589.217950687,
-7634172.675949817
],
[
-403403.1581705074,
2214651.4639464812,
-4.404832044930983e-06,
-7634172.675949817,
2214718.2905831737
]
],
"r2": 0.9946403479387296,
"aic": 204.84595218443306,
"residuals": [
75.36806441168301,
10.758451175643131,
-26.12048909929581,
-29.235536577296443,
-19.676138962153345,
-15.680585945607163,
-32.753871641354635,
-30.990800614468753,
-32.72008555335924,
-33.53459156991448,
-10.230140093248338,
19.37576447497122,
41.25408858107403,
31.934819471556693,
115.43641088344157,
49.05387175467331,
29.856295263161883,
-26.148431943380274,
-19.001844645827077,
3.647878901916556,
-135.6260700369021,
-69.16690497193485,
45.469545971485786,
46.42094034468755,
12.714300397434272
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
497.227521206956,
-6973.160247101329,
9.338423935560906e-06,
9999.999999999998,
2317.68603131593
],
"pcov": [
[
1445093.4620015973,
-14696238.38355703,
-0.02436181244244249,
22834712.412010446,
276808.009864416
],
[
-14696238.38355703,
149465162.02472338,
0.247751280146815,
-232337800.5330483,
-2819003.656268595
],
[
-0.02436181244244249,
0.247751280146815,
4.186336663194449e-10,
-0.3763592178695905,
-0.005042427483467742
],
[
22834712.412010446,
-232337800.5330483,
-0.3763592178695905,
372316926.8756839,
4013044.6349369343
],
[
276808.00986441603,
-2819003.6562685953,
-0.005042427483467742,
4013044.6349369343,
73127.56416043875
]
],
"r2": 0.9942219086544386,
"aic": 206.72531098658567,
"residuals": [
83.53417573986326,
14.685131001504942,
-25.11396321107395,
-31.48132493345838,
-23.122108080987573,
-19.251912756559022,
-35.91205683097928,
-33.498412247036185,
-34.509628878447074,
-34.633070655666415,
-10.201765689169633,
20.104198046601823,
42.28019422837224,
32.93391731601446,
116.17074503454023,
49.365472528626924,
28.83113148118491,
-28.385605850705815,
-21.967391071154452,
0.5680579662337095,
-138.20659932998979,
-70.70596526226632,
47.20063477436088,
52.20247152700131,
19.11367769485878
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1094.9068184423877,
20783.559642797103,
9.011598547732392e-08,
15247.14880078155,
-31401.886523562778
],
"pcov": null,
"r2": 0.9946126417348459,
"aic": 204.97485438338617,
"residuals": [
79.71725014908952,
13.341870498617936,
-24.945937928303465,
-30.069040685462824,
-21.743278803343856,
-18.455244296645105,
-35.872924264578614,
-34.20128471723001,
-35.845289707674965,
-36.45162835154042,
-12.50607014189518,
17.888712382617086,
40.59469359670038,
32.08118375245613,
116.33283681954708,
50.626325927270955,
32.74723970078412,
-22.478567147638387,
-15.053981072345778,
7.42790319939013,
-132.40556492795076,
-66.8493416378733,
45.11071218803772,
42.43377453107314,
8.113197790440609
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1987.0840318249107,
0.0001032349825163324,
1.9999999999999816
],
"pcov": [
[
2521.355578931854,
0.0003404638101423536,
12.3305521627078
],
[
0.00034046381014235353,
3.4507188157963536e-10,
7.821179742376216e-06
],
[
12.330552162707798,
7.821179742376216e-06,
0.19081904625794333
]
],
"r2": 0.9890584723776313,
"aic": 218.68761130008053,
"residuals": [
7.694672584533691,
-1.2183024104095246,
-0.3308159161064239,
38.15650199120658,
63.50836856198646,
70.09851734016229,
48.67839009748627,
42.36677645253991,
30.564018711524113,
18.661334377771595,
18.91074353526983,
26.245015275687138,
27.870940399966685,
0.9088517228396995,
69.62004749031621,
-8.661839254518554,
-45.68356923946294,
-104.89189649838681,
-89.73601385214124,
-51.02555578621218,
-168.8273991768167,
-77.57427495962816,
90.63304444619826,
144.0947454593279,
117.87456965796014
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
1095.3371271521055,
1.9262130134966972e-23,
2973193162236111.0,
3.4839759362648183e+19,
-49338.60832255528
],
"pcov": [
[
3.9466746251286777e-95,
-7.346714056148607e-72,
1.5797159110448587e-109,
9.277094816439103e-114,
8.5584036117962e-97
],
[
-7.346714056148607e-72,
1.367586957362915e-48,
-2.940632859496613e-86,
-1.7269263205586492e-90,
-1.5931423308280985e-73
],
[
1.579715911044859e-109,
-2.940632859496613e-86,
6.323050660724089e-124,
3.713296808531009e-128,
3.4256298385016834e-111
],
[
9.277094816439103e-114,
-1.7269263205586492e-90,
3.7132968085310086e-128,
2.1806836490959836e-132,
2.0117473398608215e-115
],
[
8.5584036117962e-97,
-1.5931423308280985e-73,
3.4256298385016834e-111,
2.0117473398608215e-115,
1.8558984294282458e-98
]
],
"r2": 0.994319281959439,
"aic": 211.83453320996497,
"residuals": [
92.40581026749715,
5.626724510890199,
-39.092563285914366,
-43.298859449139854,
-31.99953853301122,
-26.466171678795945,
-37.335835416059126,
-31.224222911099787,
-22.536874399294902,
-30.03216569632059,
11.377883048386138,
46.38964507608762,
42.63848074683483,
41.02422066454892,
148.45854608897935,
43.46817348831246,
9.62174673336267,
-48.50757310989866,
-35.242623287624156,
-16.045800201725797,
-142.10153496822022,
-58.12698480303516,
47.928325275213865,
52.75536430479406,
20.316037925484125
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
988.9220743448594,
0.10984405125926489,
1.4795313552893158e-05,
0.1625888915467463,
1680.1362855885945
],
"pcov": null,
"r2": 0.9942028672166086,
"aic": 212.34167839236798,
"residuals": [
92.40862656683589,
5.111493207995409,
-39.884888565714164,
-44.21145553407405,
-32.73239759425701,
-26.900488669410834,
-37.443039457989244,
-31.020600983872555,
-22.059990578129145,
-29.32830068649264,
12.392565855983207,
47.54310947367594,
43.792886163436606,
42.07635293026442,
149.33543567915808,
44.121801747050995,
9.628434247579435,
-49.12142664423391,
-36.339176085286454,
-17.43445488155203,
-143.57269382614936,
-59.471516795283605,
47.41168179154192,
53.699082908874516,
21.522249141363773
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1099.5253863950554,
1046177.0706018631,
2.871095142863987e-09,
11748.314202882226,
-1056565.6956422997
],
"pcov": [
[
47136.49027757591,
-253858.44660544366,
4.3029268110584805e-07,
757584.0954229989,
-253857.18254246374
],
[
-253858.44660544366,
1367794.28240166,
-2.3072441113150553e-06,
-4098894.154123588,
1367787.4438618128
],
[
4.3029268110584805e-07,
-2.307244111315055e-06,
4.135209932678128e-18,
6.618842978383235e-06,
-2.3072330574336674e-06
],
[
757584.095422999,
-4098894.154123588,
6.618842978383236e-06,
12843576.21069672,
-4098872.7480389685
],
[
-253857.18254246374,
1367787.4438618128,
-2.3072330574336674e-06,
-4098872.7480389685,
1367780.6053576434
]
],
"r2": 0.9943240254719569,
"aic": 211.8136489922886,
"residuals": [
92.39722311985679,
5.646040856139734,
-39.05620489199646,
-43.24889714643359,
-31.95125467982143,
-26.42672069137916,
-37.30809731921181,
-31.208792227553204,
-22.53313277848065,
-30.03887851932086,
11.354883993044496,
46.35658983211033,
42.60083906468935,
40.98642299626954,
148.42400478338823,
43.439401214942336,
9.613718902692199,
-48.49217215599492,
-35.206205661874264,
-15.993662033230066,
-142.04050152096897,
-58.0645770507399,
47.97052468475886,
52.74861617037095,
20.299696922535077
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
988.5460888469215,
796.055265265946,
1.5381251182907156e-07,
9999.999999999998,
-9999.99993059758
],
"pcov": [
[
2281770.6160081173,
2411154687.767209,
-0.027402689012006532,
16003862.994927179,
-2433715726.9473963
],
[
2411154687.767209,
2583495018355.938,
-29.383652687083117,
16585217974.07798,
-2607306998264.231
],
[
-0.02740268901200653,
-29.383652687083114,
3.342132221652067e-10,
-0.18830664955465914,
29.65425867856529
],
[
16003862.994927179,
16585217974.07798,
-0.18830664955465917,
115768591.2130119,
-16743745456.47417
],
[
-2433715726.947396,
-2607306998264.2305,
29.65425867856529,
-16743745456.474167,
2631342075273.004
]
],
"r2": 0.994212360412099,
"aic": 212.3007056511211,
"residuals": [
107.03461244650134,
14.388112247588651,
-34.76634844001455,
-44.885397119491245,
-36.93661280697779,
-33.18461230451976,
-44.84312671568841,
-38.88000595752237,
-29.924418962778873,
-36.88118327325719,
6.054849051108249,
42.839504372353986,
40.87801159782612,
40.95559854939347,
149.92783458306076,
46.296163289000106,
15.02717660350936,
-41.63431973757906,
-27.87587561334476,
-9.020525623596768,
-136.13076907174764,
-53.8219534817963,
47.388970566678836,
45.75756154635201,
12.233622158326398
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
1065.9331681410904,
-52.266674944020764,
2.1066393844800867e-07,
11381.931696939058,
-9989.703089144914
],
"pcov": null,
"r2": 0.9943036288624364,
"aic": 211.9033254407117,
"residuals": [
94.32177879920528,
6.698051691695582,
-38.65370574451663,
-43.68543335654795,
-32.831514096744286,
-27.513047732327323,
-38.454362818829395,
-32.3243717639416,
-23.56220183543701,
-30.94798960895605,
10.732327523010099,
46.03299968722058,
42.558557444377584,
41.19497431843229,
148.84835421449498,
44.043974720483675,
10.524318201261849,
-47.451022248566005,
-34.172322065038315,
-15.074226069096767,
-141.31930570955046,
-57.607883574244624,
47.748449239594265,
51.70149481157205,
19.11888129540239
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2201.9122442948637,
0.00011453457053686235,
1.9999999999999998
],
"pcov": [
[
3283.3080542340244,
0.000478395238088206,
15.170201765680075
],
[
0.000478395238088206,
5.933966323468504e-10,
1.1906820590285547e-05
],
[
15.170201765680075,
1.1906820590285547e-05,
0.2547752771207734
]
],
"r2": 0.9856000777027687,
"aic": 231.0881624651342,
"residuals": [
7.93589878082251,
-4.4842518177288895,
-0.08143587664682173,
47.802231097450544,
77.28020910705828,
84.19345028212808,
66.03008606605232,
60.24504449121832,
54.61234371612568,
31.62807823594528,
41.372306501339494,
46.38119140347135,
15.892133530191359,
-8.495953319318005,
80.34132942373003,
-39.13116385110925,
-92.78830603411211,
-151.40997385379228,
-124.49870022988239,
-81.96561859840313,
-178.5029624387571,
-61.46918790364225,
114.17930444358353,
186.12421202210498,
163.23022682673718
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
939.471263099365,
3.7007450585503225e-24,
1.299521875963026e+16,
1.0931070187440536e+20,
-43420.942342001625
],
"pcov": [
[
2.6243908784975963e-97,
-1.72943917577447e-73,
2.2713488123877215e-112,
1.450324581724514e-116,
5.524733040069005e-99
],
[
-1.72943917577447e-73,
1.13967773901719e-49,
-1.4967890835838156e-88,
-9.55744881516663e-93,
-3.6407266285961037e-75
],
[
2.2713488123877215e-112,
-1.4967890835838156e-88,
1.9657991764125228e-127,
1.255221942457956e-131,
4.7815269943720135e-114
],
[
1.450324581724514e-116,
-9.55744881516663e-93,
1.255221942457956e-131,
8.014969910117042e-136,
3.0531489044287277e-118
],
[
5.524733040069005e-99,
-3.6407266285961037e-75,
4.781526994372013e-114,
3.0531489044287277e-118,
1.1630384564323603e-100
]
],
"r2": 0.9932143410796618,
"aic": 215.51768309139504,
"residuals": [
98.26248046219553,
-4.711577705958916,
-52.74916696879518,
-46.1261959860276,
-28.048000029360992,
-36.2983449917956,
-39.215624465054134,
-23.804404145368608,
-16.00627778490889,
-21.420893349539256,
25.00423000199953,
57.41972953953518,
43.3048955242848,
48.23927627499506,
155.269639881677,
51.59420827213762,
5.03169500916556,
-62.336951864068396,
-57.138047924803686,
-36.32957658688247,
-140.50096113003383,
-58.51280155632412,
48.6597897812826,
59.44499307011574,
30.98162220467202
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
884.1305192377282,
0.024587922442754324,
3.646265930562768e-05,
0.29120022982142024,
991.5475609720705
],
"pcov": null,
"r2": 0.9931032908161287,
"aic": 215.92350721935298,
"residuals": [
99.13537048271166,
-4.876505326959432,
-53.51796963268805,
-47.36413856152387,
-29.25728537713212,
-37.26947715426468,
-39.8721317122031,
-24.133619225637517,
-16.026196063190355,
-21.16352009229888,
25.70309452505296,
58.4137865083344,
44.469362157725755,
49.474322922941155,
156.49816653535527,
52.75828832076604,
5.876761712723692,
-61.91101850226187,
-57.13317588767677,
-36.69282363608227,
-141.14991687687007,
-59.350753507393165,
47.74873271335946,
58.84782428365406,
30.461925934739156
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
942.5474563459654,
957640.2892152393,
2.332761683637668e-09,
8434.973224778745,
-966251.5916276614
],
"pcov": [
[
29264.175958214364,
-154860.65604926253,
3.296530455615882e-07,
442695.49869046675,
-154854.8077513968
],
[
-154860.65604926253,
820012.2438575531,
-1.7345822565784755e-06,
-2356777.4822269958,
819981.2625109247
],
[
3.296530455615882e-07,
-1.7345822565784757e-06,
3.955701897379812e-18,
4.732058925853874e-06,
-1.734516994752458e-06
],
[
442695.49869046675,
-2356777.4822269958,
4.732058925853874e-06,
7166892.597523945,
-2356688.0111725437
],
[
-154854.8077513968,
819981.2625109247,
-1.734516994752458e-06,
-2356688.0111725437,
819950.2823352867
]
],
"r2": 0.9932205738748786,
"aic": 215.4947094217329,
"residuals": [
98.21396777464543,
-4.705685172928497,
-52.7114458308788,
-46.063629306387156,
-27.98701515677385,
-36.25019799382426,
-39.18448482488748,
-23.791004899772815,
-16.009681671857834,
-21.439388628466986,
24.961667346884497,
57.361072284635156,
43.23699002992362,
48.16762938769534,
155.19852398324292,
51.52684558776673,
4.982529669767246,
-62.36234907596372,
-57.13969642110169,
-36.31070908147376,
-140.46661517606117,
-58.468968851375394,
48.70322575524915,
59.4624642819399,
30.993106665089726
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
929.5967941496458,
1515.8750507190202,
1.6570018196155742e-07,
8341.524319487824,
-9999.999999941256
],
"pcov": [
[
1681722.5589140716,
1925491976.5298562,
-0.023782457544193676,
11268452.550273422,
-1941897864.6767309
],
[
1925491976.5298562,
2239237223044.13,
-27.67907762012295,
12628680616.049221,
-2257994877533.046
],
[
-0.02378245754419368,
-27.679077620122953,
3.4215391655348305e-10,
-0.1558312120564316,
27.910745446963485
],
[
11268452.550273424,
12628680616.049223,
-0.1558312120564316,
78109257.91564536,
-12738842658.940361
],
[
-1941897864.676731,
-2257994877533.046,
27.91074544696349,
-12738842658.940361,
2276912600009.753
]
],
"r2": 0.9931983973249012,
"aic": 215.5763548184626,
"residuals": [
98.46856556724197,
-4.698069601943644,
-52.85412184650886,
-46.33820520716108,
-28.275609278671254,
-36.499757289435365,
-39.37279093136385,
-23.911188666967064,
-16.062642285365655,
-21.42988906071332,
25.075797084035003,
57.55122234277587,
43.47731089843728,
48.4365528843482,
155.47873302791595,
51.80477650843932,
5.214865801834094,
-62.20610105992819,
-57.06836541572193,
-36.32025090661773,
-140.54544059430555,
-58.601221003060346,
48.51924301982217,
59.302412018647374,
30.84293881985286
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
922.2109963411857,
-2191.175582819307,
2.265868434260371e-07,
8265.116624707533,
-6218.350661887461
],
"pcov": null,
"r2": 0.9931897029107971,
"aic": 215.60829163638314,
"residuals": [
99.04254412722275,
-4.44729696136983,
-52.82315555174682,
-46.55658575122561,
-28.598583179790694,
-36.85143759286075,
-39.71223194191862,
-24.21635434244854,
-16.32220373576274,
-21.638768101935966,
24.97015347681554,
57.54070189200593,
43.54886318275294,
48.57615081748099,
155.6729424379173,
52.04133339400596,
5.51221685362907,
-61.89777482725276,
-56.784663714618546,
-36.08666903181802,
-140.38036858747273,
-58.51803172234304,
48.411802022302254,
58.982122914215324,
30.489450268981273
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
2171.6623066586944,
0.00012620990408594962,
1.9977157105684198
],
"pcov": [
[
3521.5103567505303,
0.0006059463519977306,
17.044570618107524
],
[
0.0006059463519977306,
1.006292091964442e-09,
1.8040866238252027e-05
],
[
17.044570618107524,
1.8040866238252027e-05,
0.3424904804275439
]
],
"r2": 0.9806751930974252,
"aic": 237.68213807826547,
"residuals": [
7.674233436584473,
-6.6019476246341355,
2.2608351750579203,
66.5591130639059,
102.51834052979814,
93.09065122866878,
79.39455616418553,
79.06581347133522,
68.63704922877469,
43.93853741435453,
51.84085782073703,
48.68021628720862,
3.6167405900855556,
-17.16352537412513,
69.4359053511921,
-49.63042048372131,
-115.3395310571218,
-180.03647228118848,
-156.9948169401316,
-108.48098738615067,
-179.04046319238705,
-60.36598134902624,
122.1763916869686,
204.32846240697063,
185.96052581407594
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
832.6176010811138,
1.113604864038582e-23,
4953741593371777.0,
3.852946083757671e+19,
-37617.226936508814
],
"pcov": [
[
2.1220809299412513e-95,
-4.671976730039074e-72,
4.3492284954796927e-110,
2.8912034382178325e-114,
4.563623135091829e-97
],
[
-4.671976730039074e-72,
1.0285831354523732e-48,
-9.575268331102958e-87,
-6.365278060124044e-91,
-1.0047279908597669e-73
],
[
4.349228495479693e-110,
-9.575268331102958e-87,
8.913792230542417e-125,
5.925553640441967e-129,
9.353196431731395e-112
],
[
2.8912034382178325e-114,
-6.365278060124044e-91,
5.925553640441967e-129,
3.939085075984369e-133,
6.217653018197197e-116
],
[
4.563623135091829e-97,
-1.0047279908597669e-73,
9.353196431731395e-112,
6.217653018197197e-116,
9.814261004514066e-99
]
],
"r2": 0.9917745486279889,
"aic": 214.85916944650225,
"residuals": [
91.55664003029233,
-6.503240374717279,
-50.58225030435278,
-40.63687806159578,
-22.284610415648785,
-35.332544090742886,
-40.95016985834809,
-25.06222078527935,
-16.42527780439559,
-20.31868239567848,
20.812245576555142,
51.59790247378987,
44.78342109089863,
50.378777347570576,
145.604227037722,
57.621126671547245,
25.739185453268874,
-51.120460023958,
-69.35516704942711,
-53.36316292230913,
-136.62106646237953,
-64.14772937985981,
45.062624821512145,
61.36752348438313,
38.40132171038567
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
804.0864963951834,
0.001848254951617628,
0.0003107897669904709,
2.345480777049902,
-766.963095848868
],
"pcov": null,
"r2": 0.9916980674377153,
"aic": 215.09054827969052,
"residuals": [
92.02519644000563,
-6.620214621953664,
-51.02960054001028,
-41.32415735009761,
-22.938513881780068,
-35.84426030316274,
-41.28390704249739,
-25.21587176924379,
-16.412171447257265,
-20.158688009304456,
21.200312246194812,
52.13236157280835,
45.396736962490195,
51.01822630885363,
146.23002209957122,
58.204116288698515,
26.139373828011685,
-50.94496687006995,
-69.3956785385908,
-53.58375011472663,
-136.97194038019416,
-64.5730702228143,
44.658508784138576,
61.194425996554855,
38.27898118731673
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
835.5175734923206,
1051227.291565744,
2.1203501495390144e-09,
7800.621554222451,
-1058799.0914856223
],
"pcov": [
[
24864.59353092408,
-131038.00795635264,
2.6275979725488286e-07,
403249.8560341942,
-131045.30386506149
],
[
-131038.00795635264,
691049.9227422522,
-1.3764634447655116e-06,
-2138721.4628367834,
691088.3883295114
],
[
2.6275979725488286e-07,
-1.3764634447655116e-06,
2.9663653909520652e-18,
4.035595608136149e-06,
-1.3765402582431169e-06
],
[
403249.8560341941,
-2138721.4628367834,
4.035595608136149e-06,
7025031.55735865,
-2138840.160045197
],
[
-131045.30386506149,
691088.3883295114,
-1.3765402582431169e-06,
-2138840.160045197,
691126.8560581635
]
],
"r2": 0.9917826481443139,
"aic": 214.83454007866246,
"residuals": [
91.49891977175139,
-6.507975340355188,
-50.557643270352855,
-40.592472929740325,
-22.245411393698305,
-35.308204689761624,
-40.94355594436638,
-25.073099674191326,
-16.45202781027183,
-20.359122670954093,
20.75135040935129,
51.524972786195576,
44.705308709526435,
50.3007638475392,
145.53024466126226,
57.554007151629776,
25.696284538600594,
-51.13586875167675,
-69.34500231454149,
-53.33214975660667,
-136.5753724775277,
-64.09416698641144,
45.11109506175853,
61.3846943709068,
38.41172866499983
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
824.6418234996187,
2534.1505743639414,
1.7026083880168912e-07,
7718.890632537716,
-9999.999997096615
],
"pcov": [
[
1442151.453279606,
1867196079.528796,
-0.024378349826387882,
10307381.472404815,
-1881174962.0756974
],
[
1867196079.528796,
2455631363297.8457,
-32.08296381193738,
13061105304.99424,
-2473704182625.548
],
[
-0.024378349826387882,
-32.08296381193738,
4.1917957628433817e-10,
-0.17038274570605386,
32.31891121510666
],
[
10307381.472404815,
13061105304.99424,
-0.17038274570605388,
76255945.81971593,
-13161235255.603039
],
[
-1881174962.075698,
-2473704182625.548,
32.31891121510667,
-13161235255.603037,
2491912519865.107
]
],
"r2": 0.9917571235380728,
"aic": 214.9120743212251,
"residuals": [
91.70220230976702,
-6.5242538184866135,
-50.70180115727999,
-40.83864836500288,
-22.49118581732364,
-35.51068413327266,
-41.086833597573786,
-25.15406347545104,
-16.47367501869485,
-20.327242426426892,
20.869431365366836,
51.70208022021325,
44.91816819183077,
50.53068598926802,
145.76272387249446,
57.778066600572856,
25.868849436690653,
-51.035186119070204,
-69.3184343949597,
-53.37167896167739,
-136.6673593798023,
-64.22211558200797,
44.96436272833853,
61.28795198262742,
38.32797122635566
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
823.380097074035,
7669.689195185203,
1.2005776326415285e-07,
7666.988820216264,
-15119.504229555452
],
"pcov": null,
"r2": 0.9917638261757907,
"aic": 214.8917374754383,
"residuals": [
92.51716873862824,
-6.082840333272543,
-50.527616937582934,
-40.99815944094735,
-22.824591295604478,
-35.92759760087392,
-41.533319578014925,
-25.596861029673164,
-16.89194071257043,
-20.70792416243239,
20.5845336904149,
51.52301619961327,
44.84387564429926,
50.554682249330654,
145.87590202767387,
57.97014393131758,
26.21155797958636,
-50.605529790402215,
-68.85895250353133,
-52.93254348226401,
-136.29245310763872,
-63.949876013735775,
44.93391538761716,
60.8488588098553,
37.81989591434467
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1927.4184739010523,
0.00013508165815031124,
1.9999999999999967
],
"pcov": [
[
2656.3544650636113,
0.0005712925630825018,
14.817125870314824
],
[
0.0005712925630825017,
1.2922502211403356e-09,
2.1474238538612167e-05
],
[
14.817125870314824,
2.147423853861217e-05,
0.3762102422481481
]
],
"r2": 0.9795772287528246,
"aic": 233.594603014629,
"residuals": [
7.572983264923096,
-6.681202396654825,
1.4118882248487736,
61.7144002861059,
93.52221870520344,
76.93999284154677,
59.51801190684199,
59.50131372386511,
50.32880948364027,
27.982687718946636,
33.09010098847875,
31.48674988351604,
-2.7491167509047045,
-19.24136030213276,
59.110335466031756,
-40.89455255922326,
-84.77735887287713,
-154.0085813068938,
-151.6474863887911,
-107.15714453294845,
-157.63451735468607,
-50.5866018638676,
127.13445073819071,
205.96887390471147,
191.6858911752197
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
687.2579621701715,
2.848000528254367e-24,
5444033854604109.0,
3.867671823094736e+19,
-31067.003211392745
],
"pcov": [
[
2.6433769809132303e-95,
-5.230804658949392e-72,
4.7615974984572707e-110,
2.9694495910518797e-114,
5.664295414166841e-97
],
[
-5.230804658949392e-72,
1.0350894926320313e-48,
-9.422411770555416e-87,
-5.876048277466407e-91,
-1.1208701239372019e-73
],
[
4.7615974984572707e-110,
-9.422411770555416e-87,
8.577214260783025e-125,
5.348962273123359e-129,
1.0203272204217305e-111
],
[
2.969449591051879e-114,
-5.876048277466407e-91,
5.348962273123359e-129,
3.335744745250778e-133,
6.363012094999732e-116
],
[
5.664295414166841e-97,
-1.1208701239372019e-73,
1.0203272204217305e-111,
6.363012094999733e-116,
1.2137596253057741e-98
]
],
"r2": 0.9921088214740675,
"aic": 210.08340621750253,
"residuals": [
81.74785720272484,
-7.84845170688277,
-48.51700393387,
-36.17739840249851,
-18.191667036673607,
-32.980204287854576,
-37.89638706717233,
-20.783385262278898,
-11.634155175441265,
-16.079584679508116,
19.489838844780024,
47.53158405790964,
43.84299915814336,
48.20459825358557,
131.09385676915917,
51.54109566324405,
23.97826539108428,
-45.56854879201637,
-81.50254765332284,
-65.64483923324951,
-112.03340890449181,
-43.11629555293621,
46.12615578531404,
53.3265159704024,
31.194204664097924
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
648.2238544534093,
2.992277492930258e-09,
6.023799522621762e-06,
0.03887912421085164,
2026.8691615423259
],
"pcov": null,
"r2": 0.9920517305656918,
"aic": 210.26362447936967,
"residuals": [
85.9874687017018,
-6.967782642715747,
-49.768414541433685,
-39.58413245895622,
-22.25150319053637,
-36.95802465406382,
-41.42047221997677,
-23.66902677921621,
-13.798461506955618,
-17.49719280672548,
19.522899459642076,
48.868117909190914,
46.297270664850885,
51.586680525273096,
135.22271349298808,
56.24910355351676,
29.49359160215954,
-40.00437114273018,
-76.49171510706356,
-61.67311372115728,
-109.49941267564418,
-42.35239261727429,
42.54707558506402,
44.565106106218536,
21.595969113249794
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
688.8946463267295,
703328.744241592,
7.548169567965888e-10,
7126.215755170632,
-709514.0538689478
],
"pcov": [
[
17613.061237537193,
-92397.19245893683,
2.862469610114448e-07,
326694.9954495698,
-92398.08049510534
],
[
-92397.19245893681,
485071.53669442545,
-1.4920438683908313e-06,
-1725505.5473479987,
485076.1934923501
],
[
2.862469610114448e-07,
-1.4920438683908316e-06,
4.986822065326036e-18,
5.016357577049594e-06,
-1.49205833958072e-06
],
[
326694.9954495698,
-1725505.547347999,
5.016357577049594e-06,
6538569.379517404,
-1725521.910312728
],
[
-92398.08049510534,
485076.19349235017,
-1.49205833958072e-06,
-1725521.910312728,
485080.85033508326
]
],
"r2": 0.9921119009033103,
"aic": 210.07364839032076,
"residuals": [
81.63694980752189,
-7.8712392199086025,
-48.48479809483979,
-36.092006853898056,
-18.09302040876355,
-32.88722362043336,
-37.81811733497307,
-20.723877112497576,
-11.594813726725988,
-16.060378671158105,
19.47162862319965,
47.481559554697014,
43.76719193451572,
48.10869602544699,
130.98296811885666,
51.41971530986484,
23.846699030487798,
-45.692912761704065,
-81.60742274962831,
-65.7214728880208,
-112.07553159468807,
-43.119416178786196,
46.20965738594532,
53.50284113129601,
31.384717170265503
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
684.1377747056241,
3862.5489441779832,
3.9156111423477645e-08,
7064.213622681673,
-9999.999998523648
],
"pcov": [
[
15748.451075030544,
-83214.9906527653,
1.4606750339756162e-05,
301186.11651161767,
-82642.97051017567
],
[
-83214.9906527653,
440060.8233018113,
-7.663723002840888e-05,
-1602774.216314992,
437021.35346039815
],
[
1.4606750339756162e-05,
-7.663723002840888e-05,
1.46853644443669e-14,
0.00026293712623064554,
-7.613128817664106e-05
],
[
301186.11651161767,
-1602774.216314992,
0.00026293712623064554,
6219161.738786463,
-1591152.5676032042
],
[
-82642.97051017567,
437021.3534603982,
-7.613128817664106e-05,
-1591152.5676032042,
434003.67379052384
]
],
"r2": 0.9921036774516531,
"aic": 210.09969765771305,
"residuals": [
81.95756657640231,
-7.807862265874064,
-48.58271995306313,
-36.347745195338575,
-18.39037189245755,
-33.17078936293183,
-38.061144768429585,
-20.914147209236035,
-11.727840884526813,
-16.135902990101386,
19.503671724072774,
47.605758575991786,
43.96662670491787,
48.36725180159556,
131.28606904473963,
51.754461663054826,
24.214159427396226,
-45.34353986187489,
-81.31254127102147,
-65.5074404073257,
-111.96160194967342,
-43.11972435595999,
45.952547724722535,
52.966647681803806,
30.805540895973536
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
679.8735570247662,
-135.91056660587228,
5.236158874905715e-08,
6993.167070843126,
-5957.4879440150025
],
"pcov": null,
"r2": 0.9920998345291114,
"aic": 210.111861508984,
"residuals": [
82.57019205868164,
-7.566071281862605,
-48.58609994540075,
-36.62059150422101,
-18.77110680619262,
-33.57735303757181,
-38.44998944657527,
-21.261954180167777,
-12.02253977557939,
-16.371931760540974,
19.387745555113725,
47.60237226670779,
44.06266012022206,
48.54809208676943,
131.53727328805144,
52.06242116986596,
24.611507169020115,
-44.918960848453025,
-80.90959043181738,
-65.16489972211457,
-111.71068341995851,
-42.985898315472696,
45.79248659059249,
52.45271382087867,
30.234433720799643
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1817.5013625265713,
0.00012378121102544273,
1.99963721107142
],
"pcov": [
[
3327.7686003440567,
0.0006649246696236445,
19.15621379537489
],
[
0.0006649246696236445,
1.2486962741414571e-09,
2.2909011962009945e-05
],
[
19.156213795374892,
2.2909011962009945e-05,
0.44559373218323467
]
],
"r2": 0.974596822469886,
"aic": 235.3116255308656,
"residuals": [
7.880717754364014,
-3.570660691947502,
6.202087868130292,
70.06697473279482,
104.15977804937796,
88.28337406565811,
73.53270279229798,
76.26533683698193,
68.74514364900926,
46.647507370054996,
46.89159475890426,
42.19191496110602,
9.86096755761605,
-9.768217931472918,
53.841349707655354,
-40.47877354344587,
-87.51269140061663,
-156.54872442979354,
-177.70576883414037,
-137.41651435269887,
-153.19820594775047,
-50.02777418718233,
112.05353890612378,
191.52380093606826,
179.9151898918908
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
668.7399028847195,
1.6494360050988572e-14,
8.806900560412402e-06,
0.0704176889653185,
1714.5814547237997
],
"pcov": [
[
3072.4498448418663,
6.598811689325819,
-2.0020699070098858e-06,
0.887300739066793,
9.34319414392264e-05
],
[
6.598811689325819,
0.01985386386120084,
-1.1663656720547728e-08,
0.001771017197691691,
1.8648646138473925e-07
],
[
-2.002069907009886e-06,
-1.1663656720547728e-08,
5.166656455474441e-14,
-6.716760947807551e-10,
-7.072686655631177e-14
],
[
0.887300739066793,
0.001771017197691691,
-6.716760947807551e-10,
0.0002673074232561005,
2.8147222712124298e-08
],
[
9.34319414392264e-05,
1.8648646138473925e-07,
-7.072686655631178e-14,
2.8147222712124298e-08,
2.9638763366735076e-12
]
],
"r2": 0.994567926548367,
"aic": 199.35791457771282,
"residuals": [
67.49766483771054,
-10.5362320337872,
-46.79741703319951,
-26.594695340699673,
-6.346830392913262,
-23.962614933959912,
-25.26250379876342,
-12.049156654793023,
-4.570824355863806,
-11.662357876856277,
17.693383807590862,
40.57057720000034,
36.25040146468086,
33.19642626675534,
107.37581491267383,
31.295598548851558,
-3.3719487974803997,
-73.54712451652858,
-52.535073230768376,
-38.06136602662832,
-87.21370844963462,
-24.918407216769083,
50.06748226609943,
44.11768343828271,
19.38286772802462
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
668.8352902535885,
1.772671076273465e-10,
6.017865036807367e-06,
0.048138152135113,
1969.2928313756088
],
"pcov": null,
"r2": 0.9945679236014496,
"aic": 199.35792814028986,
"residuals": [
67.44389127805266,
-10.569016551646655,
-46.81447399776994,
-26.590479769948843,
-6.329703909261525,
-23.93751554361529,
-25.23253220143374,
-12.016349750326299,
-4.5365665328390605,
-11.627614770374066,
17.727227655979732,
40.602037144756196,
36.27867880423548,
33.22109536913774,
107.39666314482201,
31.31253904607138,
-3.3647299589902104,
-73.5491987865662,
-52.545862751976756,
-38.08028359571199,
-87.24020375944474,
-24.951979804106486,
50.02105828140202,
44.059859028298206,
19.323440407682938
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
633.1391213054426,
-572904.1876142328,
7.829901845068651e-10,
7327.5040990990365,
567206.0007837536
],
"pcov": [
[
11989.637994019366,
-62975.89414516914,
-2.431971499918723e-07,
246112.309548191,
-62976.31038982931
],
[
-62975.89414516915,
331022.0296592337,
1.2694163466266118e-06,
-1301344.4604126748,
331024.22358648485
],
[
-2.431971499918723e-07,
1.2694163466266118e-06,
5.280754430511967e-18,
-4.720426426099377e-06,
1.2694245492434312e-06
],
[
246112.309548191,
-1301344.4604126746,
-4.720426426099376e-06,
5443490.015845041,
-1301353.341207943
],
[
-62976.31038982931,
331024.22358648485,
1.2694245492434312e-06,
-1301353.341207943,
331026.4175284766
]
],
"r2": 0.9946053804631824,
"aic": 199.18494364251572,
"residuals": [
71.3390426064143,
-9.329903574544005,
-47.34493913582992,
-29.054317673435435,
-9.51919521659147,
-27.22382085560821,
-28.276802857988514,
-14.636045023566112,
-6.637883298564702,
-13.168993045343086,
17.316682402743027,
41.243410140508786,
37.84586063376628,
35.57481163344346,
110.39876088313758,
34.83187950938009,
0.9349887504940853,
-69.08792619337328,
-48.421934819431044,
-34.69992683606688,
-84.9388051860733,
-24.010312557569705,
47.56288463121746,
37.48895882524084,
12.085070523549803
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
668.7399016521235,
-4137.194062066031,
4.70608186429757e-25,
7995.740161104829,
-1932.339507123135
],
"pcov": [
[
10373.647045819966,
-55441.62884262584,
2.7978266594062346e-05,
233603.92963112044,
-55441.608859233886
],
[
-55441.62884262583,
296514.42722972564,
-0.00014850668569793928,
-1256402.4001717486,
296514.320355337
],
[
2.797826659406234e-05,
-0.00014850668569793928,
8.244651736088186e-14,
0.0005934652967531586,
-0.00014850663216362653
],
[
233603.92963112044,
-1256402.4001717486,
0.0005934652967531586,
5642349.273742485,
-1256401.9473643838
],
[
-55441.60885923388,
296514.320355337,
-0.00014850663216362653,
-1256401.9473643838,
296514.21348098695
]
],
"r2": 0.9945679265497557,
"aic": 199.35791457132174,
"residuals": [
67.49696034967997,
-10.536936861735057,
-46.79812211931517,
-26.595400784070307,
-6.347536061929759,
-23.963320750097637,
-25.263209712147045,
-12.049862632240774,
-4.571530374495751,
-11.663063920452487,
17.692677746242907,
40.569871147431286,
36.24969543610837,
33.19572027110712,
107.37510895518858,
31.294892632520487,
-3.3726546059017437,
-73.54783021736807,
-52.53577882828563,
-38.06207152629872,
-87.214413857105,
-24.9191125374457,
50.0667771043552,
44.11697841864748,
19.382162728439425
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
630.6053662062018,
-15694.178904489752,
5.88719441013603e-08,
7302.516219802358,
10020.52709684395
],
"pcov": null,
"r2": 0.9945950471403887,
"aic": 199.23278500867275,
"residuals": [
71.50702833357718,
-9.24164274539362,
-47.309217355561486,
-29.077944608836333,
-9.57091944001695,
-27.28942157257916,
-28.34975447906254,
-14.713511584252046,
-6.718846668856713,
-13.253324660776343,
17.224611250812814,
41.14182039580555,
37.73343332642253,
35.45099785766797,
110.26376849751432,
34.686569062929266,
0.770898504930301,
-69.25659872069991,
-48.57788519875794,
-34.8242931642053,
-85.01205657519313,
-24.01276236765625,
47.76035745158151,
37.96158509838915,
12.605231952913527
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1791.3353337189312,
0.00011322890383483486,
1.9995381072458542
],
"pcov": [
[
3819.4936714487126,
0.0006710062798526177,
21.584730386834966
],
[
0.0006710062798526177,
9.896145890201854e-10,
2.0119072292530227e-05
],
[
21.584730386834966,
2.0119072292530227e-05,
0.43659877174404504
]
],
"r2": 0.9742337733421651,
"aic": 234.27650652576241,
"residuals": [
7.704323768615723,
-1.4431238448177162,
8.130779418345305,
77.31611516089738,
114.61473550612553,
97.85567409075173,
88.87810196358237,
89.81653856808992,
82.57730949010624,
59.58307044676542,
56.41514014666643,
48.38739671364783,
16.353023382842025,
-10.554554424026719,
43.83011362161619,
-48.04623361812128,
-106.20475436523293,
-180.77736538878594,
-149.78928143898156,
-115.01740032222665,
-136.7609774215848,
-42.39045259459772,
103.99262858348538,
172.1217465416246,
158.4084481813843
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
732.5870165462545,
3.6585359527338326e-17,
6.614147508872445e-06,
0.07405246415670376,
1872.5840879958917
],
"pcov": [
[
2410.702728563148,
7.128887249352395,
-6.365252572381427e-06,
0.6080727830465391,
6.146612881757832e-05
],
[
7.128887249352395,
0.031413987691079115,
-3.701163267180852e-08,
0.001600633036283338,
1.6179759895473276e-07
],
[
-6.365252572381427e-06,
-3.701163267180852e-08,
6.218093737816074e-14,
-1.3682883594706073e-09,
-1.3831138417131108e-13
],
[
0.6080727830465391,
0.001600633036283338,
-1.3682883594706073e-09,
0.0001608120356000859,
1.625544436937119e-08
],
[
6.14661288175783e-05,
1.6179759895473276e-07,
-1.3831138417131108e-13,
1.625544436937119e-08,
1.643157308840013e-12
]
],
"r2": 0.996716474951664,
"aic": 186.22063399250706,
"residuals": [
42.030966148149446,
-19.853929286598714,
-47.97943882712593,
-15.960910699131546,
9.73674902464677,
4.57021190030332,
2.0056544899800883,
2.3723909974380604,
7.6242107644329735,
-2.4249233280231692,
17.633670591423197,
32.5603660525162,
21.252204956467153,
8.035635044230503,
69.86883279343749,
-10.286674670477396,
-56.97570792471606,
-45.22602991500298,
-28.21371962128569,
-22.553790537893974,
-71.62281680877459,
-9.145300278090872,
55.57759477493528,
44.040944486733,
12.948098083832974
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
698.6319273172202,
0.0024302303445788796,
5.143690517474664e-06,
0.049511205247035055,
2039.700643168867
],
"pcov": null,
"r2": 0.9964114339933869,
"aic": 188.4415121545106,
"residuals": [
67.52891707015624,
-0.7521723184411258,
-33.99941296877432,
-9.531370617358107,
11.033907225630628,
2.3001590337444213,
-2.7716359014052614,
-4.168635547537406,
-0.14427743177020602,
-11.025250216506038,
8.19103516484438,
22.98934034992567,
11.989924162606485,
-0.6428031633415685,
61.9498826639242,
-17.33380983090592,
-61.59166791546613,
-47.29140365931107,
-27.7507755613301,
-19.64175835869537,
-66.36204429126337,
-1.6412674881667044,
67.26332295878228,
59.54229337460538,
28.993517838030357
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
575.103806040466,
-943755.5039084874,
1.8907260869397972e-09,
7713.609049806651,
938557.124143747
],
"pcov": [
[
6667.576597434698,
-35116.45060838719,
-8.016481697246127e-08,
155842.48648074167,
-35114.23264149698
],
[
-35116.45060838719,
185077.00369520232,
4.196612679313563e-07,
-826065.3775569703,
185065.32122316927
],
[
-8.016481697246127e-08,
4.1966126793135627e-07,
1.0298980761225338e-18,
-1.77400285288583e-06,
4.196346295942597e-07
],
[
155842.48648074167,
-826065.3775569705,
-1.7740028528858305e-06,
3914886.3227109695,
-826013.5736953518
],
[
-35114.23264149698,
185065.32122316927,
4.1963462959425975e-07,
-826013.5736953517,
185053.63948906484
]
],
"r2": 0.9971876325019661,
"aic": 182.34836147858778,
"residuals": [
58.478916857391596,
-12.612075293203816,
-47.260466336039826,
-23.081763610825874,
-1.0092804277082905,
-7.413715244154446,
-9.818730322178453,
-8.465088909259066,
-1.7425245114136487,
-10.051158884074539,
13.798666645772755,
32.48029995523393,
24.626585671212524,
14.45564599102363,
78.89014656574,
0.8909513978287578,
-42.23324755905196,
-29.213712308788672,
-12.844924853066914,
-9.42145600519143,
-62.063220029114746,
-4.290693095303141,
48.246005356661044,
21.582041492452845,
-11.99015678174328
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
707.0184551162147,
-5436.015236564455,
2.407256908257562e-21,
9999.99999999928,
-1128.1155872075992
],
"pcov": [
[
8781.528726381022,
-47649.19733303631,
2.7119200130952747e-05,
222866.30257082926,
-47649.19668888222
],
[
-47649.19733303632,
258693.85097884285,
-0.00014626442304798123,
-1215669.914120949,
258693.84748165298
],
[
2.7119200130952743e-05,
-0.00014626442304798123,
9.120633150203304e-14,
0.0006516348444576075,
-0.00014626442107062702
],
[
222866.30257082926,
-1215669.914120949,
0.0006516348444576075,
5997465.014929563,
-1215669.897687079
],
[
-47649.196688882206,
258693.84748165295,
-0.00014626442107062702,
-1215669.897687079,
258693.8439844631
]
],
"r2": 0.9965552015727813,
"aic": 187.41932988984968,
"residuals": [
59.95483373474826,
-6.642610935310131,
-38.555041934044766,
-12.142839346150595,
9.72566591550867,
1.887012715815672,
-2.56251893155013,
-3.52660846092067,
0.7952878566325126,
-9.887265013688648,
9.521720929497405,
24.33674718331963,
13.247181708836024,
0.4574598282833904,
62.8506478045947,
-16.659671931036428,
-61.54509024050731,
-47.90233879396692,
-29.01584341999842,
-21.544407508361473,
-68.8809630815058,
-4.7540797104848025,
63.02683478167319,
54.25802531470481,
23.55786153620511
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
558.9981360693992,
-15534.99772881379,
2.2913301637127873e-07,
7487.075333787174,
10496.539167580835
],
"pcov": null,
"r2": 0.9971632429567809,
"aic": 182.56423295167048,
"residuals": [
59.37798009940525,
-12.313498611276373,
-47.34333807256735,
-23.54770580803597,
-1.5900130528389127,
-7.982840559165197,
-10.31708145830271,
-8.867427513059738,
-2.0413713911730156,
-10.248446565041377,
13.78158157253165,
32.603374877051465,
24.84974513131783,
14.74350925638646,
79.21313655618178,
1.2251250603967492,
-41.944381119594254,
-29.028643233943512,
-12.78109143175061,
-9.468979490085985,
-62.193791100195085,
-4.463376222352963,
48.14429242213737,
21.790384204952716,
-11.713215559002492
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1809.3107116714893,
9.870766764842541e-05,
1.9799448924836192
],
"pcov": [
[
5029.5649149289475,
0.0006792406753417448,
26.00380586789035
],
[
0.0006792406753417447,
6.632114018459727e-10,
1.5710798633105503e-05
],
[
26.00380586789035,
1.57107986331055e-05,
0.40307424088794597
]
],
"r2": 0.9741314296926142,
"aic": 233.82341336759382,
"residuals": [
7.7046308517456055,
0.7295614251675095,
10.566797052838243,
85.34213105938764,
127.48662163708946,
124.60592989602898,
116.52784992689197,
107.02494664438183,
99.9917416423931,
76.38752510676659,
68.1102810841013,
55.42085321300419,
18.69677364543145,
-17.032601445744717,
25.487215943284355,
-70.71751588730649,
-143.9048195723824,
-141.5728915812881,
-120.33222637351332,
-100.0286354259913,
-126.77770162054958,
-36.513620175906226,
93.65906769746971,
153.4382675778661,
133.1828593117691
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
773.9439880462763,
8.282324649879454e-18,
6.35765884276876e-06,
0.08856886509322869,
1859.9134889282527
],
"pcov": [
[
2927.2287012397915,
7.795291191133565,
-8.005767193985875e-06,
0.7440945762950755,
8.515294790254158e-05
],
[
7.7952911911335665,
0.028791885014268846,
-3.4848541792634763e-08,
0.001780099065817629,
2.037115814924119e-07
],
[
-8.005767193985875e-06,
-3.4848541792634763e-08,
5.415732254942136e-14,
-1.7860059244837459e-09,
-2.0438755243301036e-13
],
[
0.7440945762950755,
0.001780099065817629,
-1.786005924483746e-09,
0.00019742461642223243,
2.2592945325113342e-08
],
[
8.515294790254159e-05,
2.037115814924119e-07,
-2.0438755243301036e-13,
2.259294532511334e-08,
2.5854991526075917e-12
]
],
"r2": 0.9974046179407904,
"aic": 179.4122213839242,
"residuals": [
23.671575205869203,
-29.169950380183764,
-52.94946380213173,
-11.946908642587005,
25.693548771067753,
23.52330732377345,
24.069361663241352,
21.654296651795676,
13.607251841821608,
-0.07266951510018771,
15.846821446094737,
22.32501589775825,
5.403925947785979,
-14.757163057534058,
35.735427770106526,
-46.46506935208072,
-35.555905549437284,
-28.080754646307923,
-15.57741036328298,
-10.217090316371923,
-61.76432418944,
-2.3014954178709104,
54.591578832354344,
38.31157410976971,
4.429365871539858
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
774.1088406573202,
1.5787289813714427e-10,
4.864697910651656e-06,
0.06780798152597048,
2067.14224733569
],
"pcov": null,
"r2": 0.9974046138638714,
"aic": 179.4122606547879,
"residuals": [
23.607255514182725,
-29.216925705342646,
-52.98196487694099,
-11.957000973235381,
25.69952061770391,
23.54090336784634,
24.095381529356473,
21.68637759535659,
13.643614900793182,
-0.033385757921678305,
15.889005688392444,
22.367435234793675,
5.44487438138799,
-14.718800734839078,
35.770466918833336,
-46.43384086916444,
-35.53535327533473,
-28.07149239012938,
-15.579412561525714,
-10.23005445552917,
-61.787832611206795,
-2.3350914690831814,
54.539168966492525,
38.242028868429315,
4.357382300312111
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
535.2467199613448,
-723630.1511788195,
3.4797104240710326e-09,
7999.196395065535,
718779.5175583969
],
"pcov": [
[
4447.526548876357,
-23466.237683875144,
-6.894558980712383e-08,
114346.63280749664,
-23467.622540271343
],
[
-23466.23768387515,
123895.96330168625,
3.616353545255045e-07,
-607100.4174576948,
123903.28882335543
],
[
-6.894558980712384e-08,
3.616353545255045e-07,
1.1405823882483196e-18,
-1.6798083393546252e-06,
3.6165635950473364e-07
],
[
114346.63280749664,
-607100.4174576947,
-1.679808339354625e-06,
3154105.696334938,
-607137.0473202686
],
[
-23467.622540271343,
123903.28882335543,
3.616563595047336e-07,
-607137.0473202686,
123910.61478116337
]
],
"r2": 0.998172851170227,
"aic": 170.6377963989923,
"residuals": [
47.88403766893316,
-16.855562916374765,
-49.36184460343793,
-19.42423728830181,
12.54388667398598,
7.907292714109644,
7.95441360399127,
6.266167972004041,
-0.2913405188592151,
-12.01741623331327,
8.47926566353999,
19.742168816854246,
7.3818021909100935,
-8.64324566849973,
45.47396464331541,
-33.641839719959535,
-17.33639559871517,
-7.479056213283911,
4.822215925669298,
7.789522957522422,
-48.01257709390484,
5.602370391483419,
46.85650551179424,
10.723122903611511,
-26.440279500558972
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
693.8381991024467,
-4628.107775540542,
4.2970321471719344e-21,
9999.999999999658,
-1828.4379310032884
],
"pcov": [
[
10291.926584630872,
-55683.48750372826,
2.6644461560818968e-05,
260733.6786955739,
-55683.505929451974
],
[
-55683.48750372826,
301439.8437158444,
-0.00014331130001632065,
-1418167.9865852331,
301439.94346172345
],
[
2.664446156081897e-05,
-0.00014331130001632065,
7.470176133620485e-14,
0.0006396747476682843,
-0.0001433113474425551
],
[
260733.67869557394,
-1418167.9865852334,
0.0006396747476682843,
7007630.5010844385,
-1418168.4558197241
],
[
-55683.50592945199,
301439.94346172345,
-0.0001433113474425551,
-1418168.4558197241,
301440.0432076355
]
],
"r2": 0.9960737103503671,
"aic": 189.76124977536594,
"residuals": [
73.62399832036158,
8.30457341459919,
-25.674215438032434,
-0.09772576882164685,
26.734233385653397,
16.84972414842946,
11.837302467662312,
5.412476045942867,
-5.50398828276343,
-21.1966212504733,
-7.486978771066106,
-1.603813218370533,
-18.104532577274995,
-37.189630804429044,
14.808899533818249,
-65.60224614368622,
-49.54781545856554,
-36.55276194657813,
-18.513954647569108,
-7.7567097344006015,
-54.109738104619964,
10.322185961941386,
76.47801176123107,
68.62643597891952,
35.94289113230457
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
488.1941668848283,
-10788.580390816967,
6.666961547675989e-07,
7252.62094941613,
6405.949728156658
],
"pcov": null,
"r2": 0.9981489120060615,
"aic": 170.96321729124261,
"residuals": [
50.57928078241093,
-15.925368970109957,
-49.548844210702555,
-20.72266318083075,
10.926138559571882,
6.3420063597404805,
6.614158943030816,
5.223019917236343,
-1.0178391821646073,
-12.43548329236728,
8.603293063733872,
20.281557980837533,
8.210978929256271,
-7.634792992716029,
46.56940308407502,
-32.53411159275856,
-16.42652857943176,
-6.9493409846818395,
4.918190791399866,
7.48426060941074,
-48.62816166471566,
4.807618550385087,
46.200746250300654,
10.973215885342142,
-25.983409157310234
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1787.8712924861165,
9.41805329094983e-05,
1.999999999999996
],
"pcov": [
[
5480.828565901108,
0.0006925823454504488,
28.36150208232494
],
[
0.0006925823454504487,
5.931553909102206e-10,
1.5008831410531758e-05
],
[
28.36150208232494,
1.5008831410531758e-05,
0.41297366234997296
]
],
"r2": 0.974666617382417,
"aic": 232.37195294102352,
"residuals": [
7.564268589019775,
1.359125109445281,
9.78673345079687,
86.75147987566372,
137.64778292384256,
136.4772647900687,
131.2915227329271,
119.41478434380906,
99.86496026713706,
73.63151974297392,
63.50412805282349,
44.67795765360029,
4.447328602533275,
-36.42532814299818,
-3.7806767504295067,
-100.89425637075828,
-114.89521279362702,
-116.58444057865745,
-100.40678616589526,
-81.35868706011411,
-111.66251022414758,
-25.429838402126734,
95.43163550545614,
149.92198499497135,
126.87492514096562
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
809.8504299664625,
6.604616315513425e-18,
6.518621773694605e-06,
0.11059766230788365,
1782.331910736587
],
"pcov": [
[
5074.867972011176,
10.619756443313339,
-1.2346384924678649e-05,
1.3613123964796636,
0.00018590836414960607
],
[
10.619756443313339,
0.02823099741135118,
-3.479657559737162e-08,
0.002628968883888233,
3.590265583034152e-07
],
[
-1.2346384924678649e-05,
-3.479657559737162e-08,
5.348041267210726e-14,
-3.092530429044243e-09,
-4.2233309147450994e-13
],
[
1.3613123964796634,
0.002628968883888233,
-3.092530429044243e-09,
0.00037735426591290584,
5.15335895462155e-08
],
[
0.00018590836414960607,
3.5902655830341526e-07,
-4.2233309147451e-13,
5.15335895462155e-08,
7.0377125460422245e-12
]
],
"r2": 0.997300707768045,
"aic": 179.0908617371769,
"residuals": [
8.417672266860563,
-37.284262278545384,
-57.42846523385947,
-6.279388861745247,
37.02773552991425,
36.845400835813734,
39.77509327327698,
39.272214177792875,
25.780858613447435,
0.42227718286312665,
10.099027576055505,
7.577924638482273,
-15.746013283743082,
-40.56052090391654,
-3.9164418092700544,
-49.059590261822564,
-10.129055906667418,
-8.693067810396087,
0.520068263225312,
0.9893872539137192,
-49.85552261951398,
2.494972437785691,
49.1924640976265,
26.87806217100797,
-6.330874486018502
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
804.6952634332843,
0.00014372769997337222,
4.907841470825052e-06,
0.08129337550161207,
2012.2825291251584
],
"pcov": null,
"r2": 0.997284252504514,
"aic": 179.24280258166493,
"residuals": [
14.805422244247438,
-31.68958530601276,
-52.52690827371248,
-2.524879073456759,
39.88029447308554,
38.9781973348729,
41.326742120275185,
40.35025768021728,
26.470129158239615,
0.7906554530864014,
9.980648416768872,
7.123363731883273,
-16.431447837460837,
-41.401124578332656,
-4.856572778507143,
-50.0576100666226,
-11.148944835248585,
-9.627600728131483,
-0.27048268750559146,
0.37535296441092214,
-50.27531695561834,
2.278389242727826,
49.38997429687379,
27.483713120653192,
-5.6651457252503405
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
305.8766778756008,
-5610.211840380148,
3.975730646842863e-06,
5285.258065027216,
2953.2108049776807
],
"pcov": [
[
29583.617427899924,
-433113.5695137549,
-0.0006257441819264015,
611505.6622764526,
145952.4530930016
],
[
-433113.5695137549,
6445925.762659168,
0.009478425835388396,
-8757032.68904586,
-2251103.3135933536
],
[
-0.0006257441819264016,
0.009478425835388396,
1.4226386662616422e-11,
-0.01225650730159942,
-0.003436088672135038
],
[
611505.6622764526,
-8757032.68904586,
-0.012256507301599419,
13364325.333053345,
2792661.286642658
],
[
145952.4530930016,
-2251103.3135933536,
-0.003436088672135038,
2792661.286642658,
844947.0819396715
]
],
"r2": 0.9981789423781026,
"aic": 169.25155775988225,
"residuals": [
42.39444790313473,
-21.57835894578875,
-54.2598129290609,
-17.655255345682235,
19.229465533124312,
17.011866930403812,
20.3656879025516,
21.673324072169635,
10.750490844561682,
-11.662378830855232,
4.182343334927737,
7.471167790671188,
-10.781930496103541,
-31.37833963637695,
8.63472743672105,
-33.934345326149014,
8.447607302161941,
10.007830274966864,
17.005278210979895,
13.669695303306298,
-42.012802819854414,
4.878324264852608,
39.928938148942734,
6.223394211715913,
-28.611345184029688
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
675.2954354311843,
-5169.6282959799555,
5.1160422394446614e-24,
9999.999999999998,
-1126.1137942901316
],
"pcov": [
[
13984.436543645523,
-75871.87854186428,
4.489945701874141e-05,
371283.51350457716,
-75871.88304762277
],
[
-75871.87854186428,
411871.5065369167,
-0.00024213402895584114,
-2025014.0067873022,
411871.5309963032
],
[
4.489945701874141e-05,
-0.00024213402895584117,
1.5695706207953445e-13,
0.0011286766627243005,
-0.0002421340433364705
],
[
371283.51350457716,
-2025014.0067873027,
0.0011286766627243005,
10452615.570295377,
-2025014.1270372097
],
[
-75871.88304762277,
411871.5309963032,
-0.0002421340433364705,
-2025014.1270372097,
411871.55545569124
]
],
"r2": 0.9940171772663053,
"aic": 198.98843381978213,
"residuals": [
83.6165685101098,
19.930918544099086,
-15.105641567909288,
13.135368626763238,
40.0556735248731,
27.9563530537946,
22.14418854640485,
15.219403315043792,
-2.9597282462443673,
-31.685421151173387,
-25.899564054790744,
-29.736482511789973,
-52.72225655622037,
-76.10820811004191,
-37.304767595583826,
-79.7949098743145,
-33.00872046579184,
-22.95667892956567,
-4.991146980674557,
4.086107255278193,
-38.421278199378094,
21.94458598332426,
83.66521928077714,
75.09493624044194,
43.84548136309991
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
287.5560824419592,
-5359.626685785942,
4.32454033865324e-06,
4866.70886592925,
2881.6700666285715
],
"pcov": null,
"r2": 0.9981765791873615,
"aic": 169.2839792862363,
"residuals": [
44.13096756958703,
-21.29030244931846,
-54.745003165939124,
-18.720425090185472,
18.142078483012483,
16.104337029862563,
19.70277936513321,
21.26224700354487,
10.573842537396558,
-11.631896625994614,
4.536421793172394,
8.03643221997254,
-10.09833736172186,
-30.649155954255775,
9.354222895437488,
-33.26544362565551,
8.88175893241214,
10.145392573916752,
16.85813672200743,
13.292369870200446,
-42.54160234250298,
4.289663182473305,
39.51414590360923,
6.369088269696022,
-28.34994153451771
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1767.2347847480203,
8.827188486831334e-05,
1.9999999999999996
],
"pcov": [
[
6114.650504311028,
0.0006862669986930783,
30.76059454458971
],
[
0.0006862669986930783,
4.890281441836135e-10,
1.3394769166184249e-05
],
[
30.76059454458971,
1.3394769166184249e-05,
0.4023581498108213
]
],
"r2": 0.9750167093487934,
"aic": 230.7213023652127,
"residuals": [
7.575290203094286,
2.114562157046489,
9.97072877129046,
92.53792778504183,
147.26581797661478,
147.51405811159088,
144.77728640110308,
135.22280149564767,
110.83741620208156,
73.64868883199591,
58.86426890730445,
32.59398429576174,
-12.670429768837607,
-57.09148085676736,
-37.482567081647176,
-97.01615483538171,
-82.81054190700706,
-91.56707112575737,
-80.44621701130677,
-68.41328946303838,
-100.22304162267301,
-23.21334286013075,
83.91704571347418,
129.98445283908882,
107.35168044671695
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
845.5955847664919,
0.0025559162153525666,
8.032140009777228e-06,
0.15945268838417934,
1554.9993849252248
],
"pcov": [
[
2927024.1821399303,
-10089.333904996565,
20.7158375142494,
411606.1094458106,
-2175646012.585915
],
[
-10089.333904996567,
35.05695832585549,
-0.07183230190544602,
-1427.225442033257,
7544052.328169829
],
[
20.7158375142494,
-0.07183230190544602,
0.0001472699077456568,
2.926094819687302,
-15466.752423667624
],
[
411606.1094458106,
-1427.225442033257,
2.926094819687302,
58138.36158561568,
-307307752.2111282
],
[
-2175646012.585915,
7544052.328169829,
-15466.752423667624,
-307307752.2111282,
1624367356093.0176
]
],
"r2": 0.9963938229591014,
"aic": 185.27919562572808,
"residuals": [
4.360327863161729,
-36.46234441289971,
-53.828238011830535,
3.1779579537355858,
47.773829186030525,
47.51554887628913,
50.214645588712756,
50.02957357425339,
37.24663077945888,
9.715935914422744,
-4.756473947298105,
-16.680869065207276,
-48.80118725905595,
-63.47059705962613,
-2.360648260201515,
-29.151714340854824,
8.888201523252974,
3.378091976532687,
9.938714540206774,
5.3166406245750295,
-46.211198078356574,
4.562459665624829,
44.246125463878116,
17.200846046425113,
-15.089783506897675
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
847.9284883778331,
5.447126550504427e-10,
5.403221388083376e-06,
0.1090343423446571,
1888.2678899814612
],
"pcov": null,
"r2": 0.9964212692341914,
"aic": 185.08819520281972,
"residuals": [
-1.7079989041308181,
-41.97068173822322,
-58.83205956416782,
-0.9549768685269555,
44.363715226989825,
44.71257369333989,
47.926763968499245,
48.18238578778255,
35.77916887279184,
8.577631590493866,
-5.357137159305921,
-16.867413318618674,
-48.66559519593602,
-63.08319796921228,
-1.776428816362909,
-28.41449674220678,
9.865956022677892,
4.454514272413462,
11.018730569232503,
6.332869429735865,
-45.308713217452805,
5.312757733182934,
44.60612151590931,
17.086489415255073,
-15.281012790745535
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
177.13114802079696,
-3954.416715012439,
6.77066537173878e-06,
3177.2852677453593,
2495.0775337604305
],
"pcov": [
[
13028.981487138031,
-159376.4445329602,
-0.0003333251475778427,
358233.491435652,
35807.82538020157
],
[
-159376.4445329602,
1972954.9246529131,
0.0042298551958786694,
-4308632.291420388,
-464649.9108553396
],
[
-0.00033332514757784267,
0.004229855195878669,
9.608875171167054e-12,
-0.00851683641804323,
-0.0010959869182322747
],
[
358233.491435652,
-4308632.291420388,
-0.00851683641804323,
10611504.921883577,
886542.911419488
],
[
35807.82538020157,
-464649.9108553396,
-0.001095986918232275,
886542.911419488,
129252.34462018921
]
],
"r2": 0.9974216788210056,
"aic": 176.89145216423123,
"residuals": [
38.46417365400248,
-25.974717956314635,
-57.82714914651751,
-15.426204753463935,
24.292885165606094,
23.78728813766611,
28.54774724150093,
31.551259327151,
22.44171065254386,
-1.2933080352797788,
-8.548066816131268,
-14.29087530896436,
-41.455197594687206,
-52.3590595672033,
11.443542937644906,
-13.586204517073156,
25.681879421853637,
18.30336957311374,
21.259588722826493,
12.238395415457035,
-43.84218386946645,
2.6571597911993194,
35.6721641938002,
5.359346551306771,
-27.097523165509756
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
177.15963493702455,
-3954.7628374969627,
6.769959298047612e-06,
3178.0977560826814,
2495.152542912613
],
"pcov": [
[
13035.21979216962,
-159456.0138883217,
-0.000333454479903789,
358402.41576233145,
35826.580781693134
],
[
-159456.01388832173,
1973977.0689692472,
0.004231558534304293,
-4310755.599167831,
-464898.43546182633
],
[
-0.0003334544799037891,
0.004231558534304293,
9.611517443343224e-12,
-0.008520159070694526,
-0.001096426665439932
],
[
358402.41576233145,
-4310755.599167831,
-0.008520159070694526,
10616313.091731256,
887011.4453444732
],
[
35826.58078169314,
-464898.43546182633,
-0.001096426665439932,
887011.4453444732,
129319.88569916287
]
],
"r2": 0.9974216788234723,
"aic": 176.89145214031387,
"residuals": [
38.4602776147276,
-25.97432919199082,
-57.8250629244485,
-15.423478490598882,
24.295090859651737,
23.788734445670343,
28.54845674123908,
31.55133153880888,
22.441261652009416,
-1.294166624779109,
-8.549456955143341,
-14.292497421301505,
-41.45683806859256,
-52.360570662647206,
11.442259733547871,
-13.587198024625877,
25.68171657409175,
18.30399532785418,
21.26082613299559,
12.240005045321595,
-43.84046468492738,
2.6587245714395067,
35.672679225775255,
5.357957879334663,
-27.099259919857104
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
185.1898496522582,
-4048.980648979071,
6.602279072378661e-06,
3438.5732533224104,
2511.7776106865645
],
"pcov": null,
"r2": 0.9974199285670294,
"aic": 176.90841727502328,
"residuals": [
36.70895465265812,
-26.227136996153604,
-57.40572582203549,
-14.600294326437051,
25.080770028873758,
24.412466223704087,
28.985030083257243,
31.81017690699491,
22.543677728649982,
-1.3238466605487247,
-8.773805806416249,
-14.633390193971536,
-41.854570784877524,
-52.771069385053124,
11.050725372448596,
-13.937595838116522,
25.48681120946344,
18.284979814683084,
21.397636421689867,
12.491625057762576,
-43.525040872998034,
2.9833156440340645,
35.8543735226865,
5.202982805919419,
-27.31936106718058
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1751.3652365622045,
8.337849448229017e-05,
1.9999999999999998
],
"pcov": [
[
6787.144614918455,
0.0006810242882902799,
33.14842808006626
],
[
0.0006810242882902799,
4.118536575137138e-10,
1.2110140660230423e-05
],
[
33.14842808006625,
1.2110140660230423e-05,
0.3938549484374101
]
],
"r2": 0.9754459102071559,
"aic": 229.23495089896412,
"residuals": [
7.472030162811085,
2.7599488675589425,
10.790483811520268,
96.71037387235846,
152.0895565548851,
152.45482675937495,
150.0592752452541,
141.5739459218055,
118.73500068394145,
80.25037063458115,
43.074023818575824,
9.048943395267088,
-43.55918923924594,
-76.62435779428074,
-31.59717043098533,
-72.08135900266768,
-58.02235705417024,
-74.10211439314867,
-66.74852255045903,
-61.34078129647469,
-95.54792559190764,
-21.843493198641454,
75.16878995164211,
114.16581814596475,
92.17287161787658
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
840.6856862590579,
1.5374979272557809e-21,
8.086982408080479e-06,
0.1704114211765406,
1498.1202795550653
],
"pcov": [
[
16390.702026989315,
17.954953927134202,
-3.9601229615211396e-05,
5.315338045216621,
0.0010774470468618669
],
[
17.954953927134202,
0.022535319948332574,
-4.350787763165105e-08,
0.00559162706153414,
1.1334522871842767e-06
],
[
-3.9601229615211396e-05,
-4.3507877631651036e-08,
1.1827573889548695e-13,
-1.3108033880249044e-08,
-2.6570675793791264e-12
],
[
5.315338045216621,
0.00559162706153414,
-1.3108033880249044e-08,
0.0017537101354510585,
3.5548629088449616e-07
],
[
0.0010774470468618669,
1.1334522871842767e-06,
-2.6570675793791264e-12,
3.5548629088449616e-07,
7.205894546210957e-11
]
],
"r2": 0.9959444322914938,
"aic": 186.9227110712678,
"residuals": [
-2.7557288548775887,
-41.41257554500771,
-57.67944877218906,
1.5511868595851865,
46.44475196739086,
45.79570274754178,
48.64770652425227,
48.50078393484114,
35.134457106703394,
8.380640490461815,
-7.49196622934187,
-37.12920867145408,
-67.11071976865469,
-53.91802916251913,
4.2503473830531675,
-20.478660013314197,
18.379825047850545,
12.48452040541224,
13.168229438562548,
7.062099263629989,
-44.234028024179,
7.069614678850257,
40.90974299932441,
14.272864512113301,
-19.839534117877974
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
840.9763614820495,
7.378657073472487e-10,
5.287135759404225e-06,
0.11150051351029007,
1855.4444654740223
],
"pcov": null,
"r2": 0.9959444246378709,
"aic": 186.92275825094868,
"residuals": [
-2.83478345837716,
-41.4749210546463,
-57.727103628101304,
1.527912886991544,
46.440543969353484,
45.80646048246899,
48.670216533125085,
48.5324935452104,
35.17331483803014,
8.424980943677383,
-7.440513711921767,
-37.07442148710743,
-67.05524619820221,
-53.863759811747286,
4.302044853333541,
-20.430532603201527,
18.416237506509106,
12.507047265607525,
13.175973656673705,
7.05482210592163,
-44.25621502092372,
7.0328165150506265,
40.84495599046909,
14.181905356984544,
-19.93426248379319
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
145.3826757331677,
-3523.029760951609,
7.622975317528524e-06,
2702.749314913441,
2345.9636367931944
],
"pcov": [
[
10978.937449889241,
-129807.13870505731,
-0.000301699263269726,
334605.0991112131,
26486.511759061992
],
[
-129807.13870505731,
1552135.000069238,
0.0037043269492411713,
-3894973.738640525,
-333132.96527242486
],
[
-0.000301699263269726,
0.003704326949241172,
9.498288994435214e-12,
-0.00849100916291223,
-0.0008933789710590042
],
[
334605.0991112132,
-3894973.7386405254,
-0.00849100916291223,
11066532.019027295,
720507.2037032419
],
[
26486.511759061992,
-333132.9652724249,
-0.0008933789710590042,
720507.2037032419,
87412.01941782548
]
],
"r2": 0.9969078448063163,
"aic": 180.1421521114239,
"residuals": [
35.98651833238591,
-27.142307980730493,
-57.93789680601003,
-12.971613426407657,
27.271176730080242,
26.387574734452073,
31.14339322798969,
33.9070944337177,
23.85474260082856,
0.4840018207485173,
-9.080265899362075,
-33.47867636310002,
-59.42438489679694,
-43.332400862297845,
16.734266135346388,
-6.945688158677967,
31.748601419629495,
23.155458833588455,
19.94353846930244,
9.642214710477901,
-45.55718580287362,
2.51632617039877,
32.765275598413155,
6.962444455162313,
-26.632194856238584
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
642.8749254542737,
-7253.205015182915,
3.755644742835961e-26,
9999.999999999998,
1245.143016005024
],
"pcov": [
[
8939.703363457176,
-51045.53849520277,
0.0001222179565329651,
342811.90361561935,
-51045.536920341794
],
[
-51045.53849520276,
291588.11708286556,
-0.0006952548122049899,
-1964312.943223403,
291588.108086826
],
[
0.00012221795653296507,
-0.0006952548122049899,
2.0995884663874305e-12,
0.004490870961046863,
-0.0006952547907536202
],
[
342811.9036156193,
-1964312.943223403,
0.004490870961046863,
13731858.087581392,
-1964312.8826237232
],
[
-51045.536920341794,
291588.108086826,
-0.0006952547907536203,
-1964312.8826237232,
291588.0990907867
]
],
"r2": 0.9894818412415901,
"aic": 210.74802330028552,
"residuals": [
94.70302225334945,
33.75121866605514,
-1.2028840568773376,
28.815055221990406,
52.3850573487498,
35.93589644660824,
26.98583213319762,
18.007771507786856,
-1.934665870907338,
-33.52285290437794,
-55.25152414310105,
-87.22480354240543,
-117.22964680921359,
-102.50163993620845,
-41.72937776396975,
-63.11469546523222,
-13.985236193947458,
-8.309208230995864,
4.3126280022088395,
10.071383359832907,
-29.643695602016123,
32.8600247784334,
87.83318454595519,
80.65913977207674,
49.3300164830589
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
165.0146375532078,
-3748.6567082797,
7.182624079388066e-06,
3403.5291963725304,
2382.854547807774
],
"pcov": null,
"r2": 0.9968947088450753,
"aic": 180.24813109190885,
"residuals": [
31.547274444558752,
-27.558703684319426,
-56.662236505688725,
-10.800084778782093,
29.24284909270682,
27.882912721339835,
32.1273817203421,
34.4232973130745,
23.970362435362404,
0.2695926509381934,
-9.762743326947657,
-34.420887303330574,
-60.47191978263686,
-44.37430726935486,
15.775568437504035,
-7.768940897854918,
31.377234289061562,
23.25864944609134,
20.444592412371776,
10.415958009047245,
-44.65641509290526,
3.3938200973702806,
33.16797930074517,
6.394438967942506,
-27.3820312134892
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1711.446642205041,
8.213728915772729e-05,
1.9999999999999998
],
"pcov": [
[
6613.1381543842745,
0.0006570896694627864,
32.70040001216004
],
[
0.0006570896694627864,
3.885023672268616e-10,
1.1640831196055002e-05
],
[
32.70040001216004,
1.1640831196055002e-05,
0.38673307679355806
]
],
"r2": 0.9759028197166814,
"aic": 227.47281489860805,
"residuals": [
7.737903118133545,
2.871867581416777,
10.314939159981488,
96.31699638644886,
150.82459569206387,
150.1606150701521,
147.58612013943366,
138.99564277070044,
115.55259387188704,
77.90691266472868,
39.606455113110655,
-11.752685109801519,
-61.81562122169919,
-66.62986241030558,
-24.199505920550223,
-62.335328209131376,
-47.02741457555612,
-63.4474032874125,
-62.234986193900795,
-58.79742814596898,
-93.4028103679716,
-19.879119718397305,
69.80488298323849,
107.82368369180563,
83.81732114718852
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
807.1110281911785,
2.7023512807275008e-14,
8.018862874764421e-06,
0.1654141387401043,
1461.7580250780281
],
"pcov": [
[
14889.685008936489,
17.554265697643366,
-3.65328394661162e-05,
4.968427089950887,
0.0010182592439324013
],
[
17.554265697643366,
0.023825115423909207,
-4.36208717730747e-08,
0.005617024786998634,
1.151186756298296e-06
],
[
-3.653283946611619e-05,
-4.36208717730747e-08,
1.1281435841516666e-13,
-1.2426643003949736e-08,
-2.546790730279293e-12
],
[
4.968427089950886,
0.005617024786998634,
-1.2426643003949736e-08,
0.0016877758688577606,
3.459029069873601e-07
],
[
0.0010182592439324013,
1.1511867562982961e-06,
-2.546790730279293e-12,
3.459029069873601e-07,
7.089141589829779e-11
]
],
"r2": 0.9958000557174088,
"aic": 186.1960138953134,
"residuals": [
-2.0054379005457577,
-39.92188850828211,
-56.19951807705229,
3.9433095922267967,
47.86970671092854,
46.04079513337547,
47.22007818538441,
46.18593268915879,
31.6036600405464,
4.5002739084753784,
-12.244052049685706,
-44.03927712868517,
-64.3272925402947,
-50.638664536119336,
3.7738796766163887,
-17.747315476572453,
24.339892980015975,
14.09079226930703,
16.662514846988643,
5.042624751444009,
-42.36825280438984,
11.098749289401894,
37.91888242308073,
11.417000072345218,
-22.204759957328406
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
807.3906955260748,
2.6618390551690153e-09,
5.263487882830705e-06,
0.1086627213964088,
1801.607430008114
],
"pcov": null,
"r2": 0.9958000478480321,
"aic": 186.1960607374188,
"residuals": [
-2.08326098981388,
-39.98312579191065,
-56.246206189916165,
3.920692771417407,
47.865839795389775,
46.051591117422504,
47.242346479862135,
46.21714759477118,
31.641798114590074,
4.543697210673827,
-12.193835415780768,
-43.9859556403851,
-64.27344082924992,
-50.586113055510395,
3.823812141599319,
-17.70096053950931,
24.37464239382109,
14.111888113873647,
16.66913353524251,
5.0345710861392945,
-42.3908424211852,
11.061935362142776,
37.854864145609326,
11.327583062723079,
-22.297832183863648
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
131.75412455418208,
-3273.8091870011112,
8.162433962247767e-06,
2502.8743679650925,
2215.9921737699337
],
"pcov": [
[
9612.813844003846,
-111064.16585062792,
-0.0002802658229130463,
307842.3046471381,
20968.49681059471
],
[
-111064.16585062792,
1296405.0422571846,
0.0033586901824133957,
-3506581.1415979615,
-257540.97208881535
],
[
-0.0002802658229130463,
0.0033586901824133953,
9.426228349933776e-12,
-0.008265363176984907,
-0.0007596555203564334
],
[
307842.3046471381,
-3506581.141597962,
-0.008265363176984909,
10737115.635312289,
596637.3141843467
],
[
20968.496810594712,
-257540.97208881535,
-0.0007596555203564335,
596637.3141843467,
63987.228922038965
]
],
"r2": 0.9967301889628294,
"aic": 179.93753732756,
"residuals": [
34.33056202201851,
-27.538567815179704,
-57.61441005221877,
-10.476475936072347,
29.647540707395137,
28.101740791412794,
31.464293756677307,
33.45101486448493,
22.17273030336628,
-1.6429109369526032,
-12.431525159018975,
-39.45566858279267,
-56.21644403338814,
-40.134618278243806,
15.698218981712216,
-5.208703652064514,
35.86330118852766,
22.426738691229957,
20.95897024680835,
5.30843067756814,
-45.576002447487554,
5.312966943112315,
30.35780989344039,
6.968525055252485,
-25.767512025353426
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
446.8261537377877,
-8273.308482315275,
1.29508302378586e-06,
9999.999970555336,
4139.877818462999
],
"pcov": [
[
280556.92829170125,
-8999335.676967274,
-0.004274800456663241,
5443763.811655836,
6179207.534041037
],
[
-8999335.676967273,
298018950.6063496,
0.14207010619997573,
-169332192.62303028,
-207764351.8063399
],
[
-0.004274800456663241,
0.14207010619997573,
6.776835128892169e-11,
-0.08004016316940037,
-0.0992127265959295
],
[
5443763.811655836,
-169332192.62303028,
-0.08004016316940037,
109754902.32280041,
114464297.49693814
],
[
6179207.534041037,
-207764351.8063399,
-0.0992127265959295,
114464297.49693814,
145862900.7054484
]
],
"r2": 0.996119103283543,
"aic": 184.22088840206607,
"residuals": [
25.524980481343846,
-22.096842893279245,
-45.99152608555005,
3.46961382718564,
40.89765485179714,
35.301569476924215,
34.539812136973524,
32.803459519344415,
18.364558259478144,
-8.019800232977104,
-22.30024883506212,
-50.98206326104582,
-68.00524411355991,
-51.16616627173926,
6.141762613731316,
-12.809929664006177,
34.12689590274749,
26.535118038086694,
29.828094141419115,
17.292815042079837,
-32.39439620753001,
17.671968166643637,
35.076769976526975,
-3.3640372788358945,
-38.93853802984586
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
155.36106529732413,
-3539.6608471368495,
7.611438938206494e-06,
3398.498332325427,
2255.172855368405
],
"pcov": null,
"r2": 0.9967078833606828,
"aic": 180.10750024973478,
"residuals": [
28.748629417923894,
-27.989216731746637,
-55.96079903476357,
-7.755728091648507,
32.086245243149506,
29.931463519563067,
32.652306843400766,
34.05784762600797,
22.285545799845067,
-1.9344614179160544,
-13.291044638372796,
-40.62453568117462,
-57.504761092732224,
-41.40707552349136,
14.535375348950993,
-6.199530077837835,
35.43403399405065,
22.57774489643043,
21.589937340712822,
6.26262010622213,
-44.47766437445853,
6.373095934032335,
30.82982892480277,
6.271030134415696,
-26.682116559673204
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1654.7195854544832,
8.281060108914579e-05,
1.9999999999999998
],
"pcov": [
[
5992.813862343849,
0.0006270163360990584,
30.828680421333292
],
[
0.0006270163360990584,
3.9307949303201374e-10,
1.165766364776137e-05
],
[
30.828680421333292,
1.1657663647761368e-05,
0.3828249952635733
]
],
"r2": 0.9761460503821219,
"aic": 225.61797756778654,
"residuals": [
7.5152783393858025,
2.7137237869443354,
9.635584670941174,
95.9164666359338,
149.19108526616373,
147.3154141735918,
143.18016505464485,
133.8997019672771,
109.48621057504283,
71.76171874212469,
33.15559316225739,
-19.805464958038897,
-59.65205762890787,
-63.49048837900864,
-24.383607783007847,
-58.92899641862539,
-39.65751531928527,
-60.00619931513506,
-56.767993804623984,
-58.96268837964635,
-90.02337576965806,
-14.864877235702807,
66.30341330970555,
102.55437894572447,
78.72912162264902
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
782.8507616396225,
0.003560988125502688,
8.28052589615135e-06,
0.16850392207317413,
1399.669826958835
],
"pcov": [
[
3148428.8494129637,
-11409.088356336753,
17.454460975192596,
355624.27683788975,
-1644659924.9571764
],
[
-11409.088356336757,
41.671225026417375,
-0.06362752227572621,
-1296.3459259504757,
5995335.384481009
],
[
17.4544609751926,
-0.06362752227572621,
9.720288154905372e-05,
1.9804193158348897,
-9158.996597190428
],
[
355624.27683788975,
-1296.3459259504757,
1.9804193158348897,
40349.22453844554,
-186606133.76421207
],
[
-1644659924.9571764,
5995335.384481008,
-9158.996597190428,
-186606133.76421204,
863011645677.5077
]
],
"r2": 0.9957818149178691,
"aic": 184.9289591828936,
"residuals": [
1.1891861961294126,
-36.26515058446921,
-52.66474985763716,
7.4129510265684075,
49.76287508449059,
46.63951338521542,
45.628212202140276,
44.7980351869528,
28.43634280193703,
2.065829799180733,
-14.860676350355448,
-47.567423950414536,
-60.7030443504658,
-47.13393827223217,
5.344353322155143,
-15.800304544284131,
27.583882792619875,
15.544450460303551,
18.13874192444996,
0.4315508371632859,
-40.763965137744435,
12.74011279374895,
35.29266667865636,
8.30329415822007,
-22.388475743110803
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
781.1387245774908,
2.9084130384054034e-10,
5.155906820635384e-06,
0.10499225624176989,
1769.1187648746854
],
"pcov": null,
"r2": 0.9957913418394032,
"aic": 184.87243193230537,
"residuals": [
-0.9370833665575447,
-38.266566626511576,
-54.548415575728086,
5.746055830492878,
48.29123908193628,
45.34490772227582,
44.49496045597493,
43.81248587025743,
27.586478824560572,
1.340973169471681,
-15.363283638040002,
-47.879257426766344,
-60.85048401450467,
-47.13951483026631,
5.461095592800348,
-15.578418550408855,
28.005235312664468,
16.091022186722512,
18.75077513549286,
1.059407159436205,
-40.16252051854599,
13.27852752249396,
35.61183483150762,
8.299280704034118,
-22.448762890216358
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
122.97430205540647,
-3103.80305214929,
8.542708458130635e-06,
2424.3499755236257,
2120.123396704025
],
"pcov": [
[
8838.940776116959,
-100524.85740867768,
-0.0002676335098720592,
297125.7099123458,
17820.236426989082
],
[
-100524.8574086777,
1153920.1313294207,
0.0031519085663689224,
-3335523.198624868,
-215076.98698359157
],
[
-0.0002676335098720592,
0.0031519085663689224,
9.376789930257537e-12,
-0.008275589660061245,
-0.0006747994766804824
],
[
297125.70991234574,
-3335523.198624868,
-0.008275589660061245,
10894316.126676463,
531034.2691020456
],
[
17820.236426989082,
-215076.98698359157,
-0.0006747994766804824,
531034.2691020457,
50933.31188219212
]
],
"r2": 0.996667064764681,
"aic": 179.0401693722631,
"residuals": [
32.8992998704407,
-27.33993208029142,
-56.59752255795706,
-8.215513419062518,
31.131399929786312,
28.7756522929144,
30.229174074783714,
32.56605555708916,
19.56225401184747,
-3.530231545362085,
-14.638130969561189,
-42.79292348317699,
-52.649581165308064,
-36.93520909853578,
16.732560177831374,
-4.002076649792343,
37.999298382115285,
22.618217391116787,
21.215500036304775,
-0.31194211661431837,
-44.633588675952296,
6.747547480049434,
28.655066722282754,
6.061720303443963,
-23.547090394263478
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
605.8301620142436,
-5840.644478779285,
2.0599382299220397e-26,
9999.999999999998,
181.19166137377147
],
"pcov": [
[
15046.736417389411,
-82589.87493696745,
9.222210158046538e-05,
482197.5755695511,
-82589.87709210132
],
[
-82589.87493696745,
453576.8648965182,
-0.000502939775174419,
-2660006.2852615053,
453576.87673219707
],
[
9.222210158046539e-05,
-0.0005029397751744191,
6.308495325678206e-13,
0.0027919067819151488,
-0.0005029397883001686
],
[
482197.5755695511,
-2660006.2852615053,
0.0027919067819151488,
16339635.35569112,
-2660006.354665319
],
[
-82589.87709210133,
453576.87673219707,
-0.0005029397883001686,
-2660006.354665319,
453576.88856787625
]
],
"r2": 0.9898414365555552,
"aic": 206.9017611497808,
"residuals": [
87.14839187886423,
29.524760440624732,
-3.73697647456288,
30.077568414838197,
53.35287638537807,
36.16896823301681,
24.713786690647567,
16.11839784045219,
-5.981735623960276,
-36.53005245531517,
-58.409155396816686,
-92.94202380132288,
-105.86267253950541,
-90.71255904577833,
-35.72419953425219,
-53.721715061806435,
-0.8531504623517776,
-2.354525449048424,
11.020101979499259,
3.959118631825504,
-26.900146162497776,
36.55265224316713,
77.75555082435199,
67.80183240433576,
39.53490604024569
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
145.87460299156933,
-3358.3174180127944,
7.988511694062702e-06,
3338.3668573578016,
2155.0111627284223
],
"pcov": null,
"r2": 0.9966438404733213,
"aic": 179.21376823358906,
"residuals": [
27.388602944336526,
-27.71487045922231,
-54.90532045819418,
-5.514884856692106,
33.52234443599423,
30.548487359379806,
31.360981854506008,
33.12243040490466,
19.632835957774432,
-3.8547623333386127,
-15.51199920644649,
-43.95958833170903,
-53.92221157562881,
-38.18170815304984,
15.602916210051944,
-4.955183511493715,
37.60942725182372,
22.80067360054636,
21.864770953106472,
0.6457352928041473,
-43.54549268201572,
7.786901976067838,
29.10072823270616,
5.358823830510119,
-24.46142704280055
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1607.9380174202583,
8.320714048488622e-05,
1.9999999999998792
],
"pcov": [
[
5489.695668757615,
0.000597289439154898,
29.16085999799094
],
[
0.000597289439154898,
3.9097996653404297e-10,
1.1526069899472274e-05
],
[
29.16085999799094,
1.1526069899472274e-05,
0.3759512967268295
]
],
"r2": 0.9765840657813047,
"aic": 223.77925368101987,
"residuals": [
7.597574234008789,
2.7217081178193654,
9.159402846010423,
95.02978719068895,
146.7157379494717,
143.72846439773824,
137.69550895077364,
128.9703465587878,
103.1562542302097,
66.55248159619214,
28.5276203893049,
-24.62882634392497,
-56.66940132566447,
-60.04107077428705,
-22.35034959762379,
-56.06841064216053,
-34.654453540194254,
-56.31711444209054,
-52.902815822734965,
-61.30728541833173,
-86.50706503999209,
-11.858234420476265,
63.506723557488385,
97.32306485749405,
76.1107815975895
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
728.18077918638,
3.0686359156868794e-18,
7.876028531539502e-06,
0.15176352080321504,
1381.067229126099
],
"pcov": [
[
11015.71871334929,
15.700456744744875,
-2.80551850840661e-05,
3.934860910836603,
0.0008200825434389767
],
[
15.700456744744875,
0.0261490927101924,
-4.182115036469591e-08,
0.0053546174990225515,
1.115980573923914e-06
],
[
-2.80551850840661e-05,
-4.18211503646959e-08,
9.608986869479207e-14,
-1.0173455914456799e-08,
-2.120296953295798e-12
],
[
3.934860910836603,
0.0053546174990225515,
-1.01734559144568e-08,
0.0014336303594588002,
2.987895272995534e-07
],
[
0.0008200825434389767,
1.115980573923914e-06,
-2.120296953295798e-12,
2.987895272995534e-07,
6.227210594060814e-11
]
],
"r2": 0.9955687611622225,
"aic": 183.7588344587265,
"residuals": [
-0.4799582921882575,
-37.293123939931775,
-53.56485819756972,
6.945324547860309,
48.2822148828709,
46.092118585072285,
43.530713728086084,
42.39884249612555,
25.181949086359396,
0.030644498349261085,
-16.832682801336546,
-48.76792970932797,
-59.20476722144599,
-44.91795159793082,
3.6239921041283196,
-16.34517773881646,
27.944189796616683,
15.369678617800218,
19.738961412211665,
3.1917130327356062,
-36.105225856139896,
13.755285492202574,
33.31316630977744,
5.965828488483339,
-21.84725357767161
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
727.6435611823645,
3.811003119885344e-05,
6.0359809235399156e-06,
0.11599144623807979,
1575.0015029870067
],
"pcov": null,
"r2": 0.9955684874077033,
"aic": 183.76037886918124,
"residuals": [
0.1616889929014178,
-36.72231761649073,
-53.05698289324505,
7.3467761705669545,
48.59774921520602,
46.33745991917431,
43.71814922717567,
42.5381295803827,
25.28094491013576,
0.09575327463949179,
-16.820408758432905,
-48.79363463142113,
-59.25778868577129,
-44.990444565380926,
3.5379184975475937,
-16.440333145087607,
27.83997891034494,
15.268787128141867,
19.64854773171919,
3.1160409127896855,
-36.16358936949882,
13.71576130381959,
33.31353325624377,
6.00690479674563,
-21.800090514773046
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
117.63565420492431,
-2932.520309642166,
8.78073240025288e-06,
2307.3065733374165,
1997.1323295638033
],
"pcov": [
[
7860.998557033987,
-88538.12476520834,
-0.000256263750031093,
266696.64868882933,
15214.26203501053
],
[
-88538.12476520834,
1006168.8844351538,
0.002987333512128931,
-2966498.0435491563,
-181831.8810006863
],
[
-0.000256263750031093,
0.002987333512128931,
9.693596538603346e-12,
-0.007985181650075533,
-0.000623715138182375
],
[
266696.64868882933,
-2966498.0435491563,
-0.007985181650075533,
9893847.071394546,
456361.712997657
],
[
15214.26203501053,
-181831.8810006863,
-0.000623715138182375,
456361.71299765696,
42209.896703904575
]
],
"r2": 0.9965040750765789,
"aic": 177.8318042150234,
"residuals": [
32.0888572080471,
-27.540025214137813,
-56.431550424351144,
-7.119283174551356,
31.53447300199855,
30.259723991150167,
30.18252365990702,
32.146878053485125,
18.15552703672597,
-3.8906853336150107,
-15.346508623454156,
-43.16872726636484,
-50.75231006318336,
-34.711578801998485,
14.672965804704063,
-5.184693783823832,
37.18483862297353,
20.99796379820009,
21.31298351770647,
1.0506721842857587,
-41.148430023951505,
6.896171146081997,
26.56385401530133,
4.427849818665891,
-22.181494971163147
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
577.6037176104468,
-4702.300769892178,
2.0064599124133688e-26,
9999.999999999998,
-687.6647288043697
],
"pcov": [
[
15671.658706949951,
-85182.67872560146,
6.550793510841517e-05,
492799.4582731367,
-85182.68535434072
],
[
-85182.67872560146,
463268.34629726154,
-0.0003538915153801326,
-2692654.325369851,
463268.38234754535
],
[
6.550793510841519e-05,
-0.00035389151538013267,
2.992349709591291e-13,
0.0019493616641903238,
-0.0003538915429217103
],
[
492799.4582731368,
-2692654.3253698517,
0.0019493616641903238,
16425649.816102942,
-2692654.534890618
],
[
-85182.68535434072,
463268.38234754524,
-0.0003538915429217103,
-2692654.5348906177,
463268.4183978319
]
],
"r2": 0.9904908831741315,
"aic": 202.84812975836735,
"residuals": [
77.69076662428972,
22.66834380137618,
-8.793833988089204,
28.12083895192893,
52.37252348438244,
37.61753598050666,
25.738907273365044,
17.686935328593904,
-4.641746653222867,
-33.51606959493881,
-54.80586518357711,
-88.40158725224398,
-98.69835678471088,
-83.0688852021284,
-32.36739114373347,
-49.61705321289435,
2.8940775284864912,
-0.5235668837904086,
13.230528537334976,
5.968872942638882,
-24.294368801613018,
34.280459790727036,
70.23410159570903,
57.943756690665396,
32.28107617093792
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
133.22523018780387,
-3104.1335481790156,
8.369850674433558e-06,
2937.511989631702,
2019.9366159996878
],
"pcov": null,
"r2": 0.9964899542875612,
"aic": 177.93258117280052,
"residuals": [
28.0031787684527,
-27.681167452743466,
-55.076546066108676,
-5.117443985654063,
33.25122656551457,
31.496613353331668,
30.94129451730305,
32.48588972238804,
18.145944378032937,
-4.179727380751274,
-16.01574716181949,
-44.03177852496037,
-51.67594893983687,
-35.603103335278774,
13.876164471551192,
-5.846453913586629,
36.93842211034098,
21.162764437930946,
21.806556829346846,
1.7558508734018687,
-40.36035668406589,
7.639472450980065,
26.869354150477648,
3.912831567306057,
-22.84615568047684
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1527.1517373585898,
8.512376588071755e-05,
1.9999999999999998
],
"pcov": [
[
4820.475164270219,
0.0005800463734421139,
27.391410665251346
],
[
0.0005800463734421139,
4.2843553256585544e-10,
1.2275673915162055e-05
],
[
27.391410665251346,
1.2275673915162055e-05,
0.38777983643907066
]
],
"r2": 0.9758068853901267,
"aic": 222.1935564614529,
"residuals": [
7.652107238769362,
2.729171204437254,
8.659480497291746,
93.94316661815321,
143.9414998491344,
141.49253140313508,
133.71448931802738,
124.62681526743035,
97.98367990124035,
62.680774887406585,
24.97581187792872,
-27.0904156351354,
-56.08706611060063,
-58.38697166705015,
-24.281022119770796,
-56.483489438551146,
-33.41105439403577,
-55.05785855797512,
-49.565985317552304,
-56.771119447299725,
-80.28981287953775,
-9.739597571903687,
61.11677075008242,
92.45337119066266,
73.76311872579504
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
687.3859915123525,
1.152912887171219e-13,
7.731886345261823e-06,
0.14181713520550243,
1348.984873677272
],
"pcov": [
[
8879.467305129403,
14.430945691897431,
-2.2967966791897677e-05,
3.261450863219482,
0.0006728824591481959
],
[
14.430945691897433,
0.027765900631870725,
-4.0415092953314967e-08,
0.0050408260222714165,
1.0399922266229514e-06
],
[
-2.2967966791897683e-05,
-4.041509295331496e-08,
8.498752229675673e-14,
-8.513529029902504e-09,
-1.7564588732638082e-12
],
[
3.2614508632194825,
0.0050408260222714165,
-8.513529029902504e-09,
0.0012239358466128445,
2.525149031193636e-07
],
[
0.000672882459148196,
1.0399922266229514e-06,
-1.7564588732638082e-12,
2.525149031193636e-07,
5.209731904972314e-11
]
],
"r2": 0.9955089475980221,
"aic": 182.17723199731407,
"residuals": [
1.0573279546897538,
-35.251519024370964,
-51.82869332324435,
7.41916843273134,
46.933482944472416,
45.004284510109756,
41.282010486722356,
40.49361565339541,
22.568562713356187,
-1.9723552367757975,
-17.85902627657879,
-49.61668292112188,
-57.46560394975927,
-43.600824373221826,
4.7755796598235065,
-14.652591834792702,
27.649048606094993,
18.546665191659486,
20.70777172198291,
3.0268113736724445,
-33.651988253258196,
12.619975347849959,
30.127328143979867,
4.455401944243022,
-20.762011726075343
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
685.3576104141737,
0.00016213011611426184,
5.964276061567559e-06,
0.10841187765183413,
1527.5361548466933
],
"pcov": null,
"r2": 0.9955074047257519,
"aic": 182.1858191121529,
"residuals": [
2.605010957092418,
-33.9184921570677,
-50.68397403188146,
8.251212053152813,
47.519338565479984,
45.39411659279767,
41.514443142025584,
40.59890256694098,
22.570752184579533,
-2.053902936925624,
-18.063574691031704,
-49.900827110890305,
-57.79889722369694,
-43.96137803965735,
4.403813229351272,
-15.023620411635761,
27.314732354994362,
18.278801431614397,
20.521854523525917,
2.930756275899739,
-33.654500584592824,
12.71224150068997,
30.407696540088182,
4.91791256175361,
-20.27283106412756
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
114.52073704176314,
-2806.7705313157503,
9.048599244626694e-06,
2305.9941528746817,
1896.2791451380128
],
"pcov": [
[
7571.174320951318,
-84216.02764019149,
-0.00025826594988662057,
263033.4937930651,
13624.765046238503
],
[
-84216.02764019149,
944210.3309482555,
0.002965998416827577,
-2892833.0462599704,
-160313.4045832435
],
[
-0.0002582659498866205,
0.002965998416827577,
1.0209423629759979e-11,
-0.008243286092839192,
-0.0005847895952112161
],
[
263033.4937930651,
-2892833.046259971,
-0.008243286092839194,
9990979.08747147,
418206.0597530585
],
[
13624.765046238503,
-160313.4045832435,
-0.0005847895952112162,
418206.0597530585,
35340.27618252184
]
],
"r2": 0.996414211871225,
"aic": 176.5495127046816,
"residuals": [
31.155036561681527,
-26.840047895059797,
-55.2593203310787,
-6.240366408627779,
31.10917168634296,
30.35324386708703,
29.21068579359826,
31.509264312088135,
16.73226264729442,
-4.825053563479514,
-15.617862098672731,
-43.60902684810276,
-48.942903928895475,
-33.63328895181303,
15.31567150305932,
-4.228118382881121,
35.772422474946325,
22.913773549616963,
21.065824107474327,
-0.142975839187784,
-39.43535201891109,
5.377126285524355,
23.80791167883467,
4.173536625367888,
-19.72162269283922
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
556.0621789818956,
-5030.513736463198,
2.4104570368366294e-27,
9999.999999999998,
-154.78717690143694
],
"pcov": [
[
12196.189391884398,
-66615.08438805,
6.715584294131419e-05,
411973.79987953603,
-66615.08633101145
],
[
-66615.08438805,
364052.795371314,
-0.0003644908399001306,
-2261771.6619774294,
364052.8059895701
],
[
6.715584294131418e-05,
-0.0003644908399001306,
4.082142958970308e-13,
0.002144377897687432,
-0.00036449085053199957
],
[
411973.79987953603,
-2261771.6619774294,
0.002144377897687432,
14734065.919130709,
-2261771.7279426455
],
[
-66615.08633101145,
364052.80598957004,
-0.0003644908505319995,
-2261771.7279426455,
364052.81660782645
]
],
"r2": 0.9911410189936867,
"aic": 199.16084912658195,
"residuals": [
71.20729021394672,
18.39048878784942,
-11.919852798665858,
26.074557203750004,
50.27047767077474,
37.12383919509978,
25.117865449674923,
18.202853211963543,
-4.227269391855202,
-32.03192078749123,
-51.757261984049705,
-84.90137576257382,
-92.54869497592279,
-77.42696799381827,
-27.080438091565497,
-44.05236462804294,
5.613425823394778,
4.662847575079127,
15.14924960948656,
5.685930225608445,
-23.012151674114193,
30.947958158487836,
62.89839534067278,
50.47020380231834,
27.142915820000326
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
130.10344741841502,
-2976.6566319036992,
8.617677561951882e-06,
2949.508267227742,
1917.4981537494664
],
"pcov": null,
"r2": 0.9963993460421096,
"aic": 176.65294253922485,
"residuals": [
27.139122224414223,
-26.959922329878736,
-53.90549558529574,
-4.258063163405723,
32.80107771060966,
31.564928544542,
29.946153981553607,
31.82797650509042,
16.705903890662512,
-5.127150477460646,
-16.292810069461666,
-44.47115390662407,
-49.86001046604497,
-34.51379682531228,
14.53325390394275,
-4.873183957945685,
35.544478006740405,
23.094467236421792,
21.570027762674727,
0.5663738880539313,
-38.64951914625567,
6.112823194787779,
24.101119119179884,
3.652589490573064,
-20.390179584246425
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1464.7624712264444,
8.668433236022095e-05,
1.9999999999999998
],
"pcov": [
[
4245.399050361099,
0.0005535153615276099,
25.46176837669688
],
[
0.0005535153615276098,
4.504157764555642e-10,
1.2617249627593866e-05
],
[
25.461768376696877,
1.2617249627593866e-05,
0.38861538047138194
]
],
"r2": 0.975764492556495,
"aic": 220.32052562924366,
"residuals": [
7.428313255309896,
2.6942008433654534,
8.028265467630977,
91.62263583368829,
139.5929137980404,
137.3768063500926,
128.53087407352814,
119.95460762282215,
92.8140928083975,
58.35466245362278,
22.11497108347652,
-29.288859463586277,
-55.23215777974053,
-57.513782973107595,
-23.16164566853513,
-54.44305713180995,
-32.564970345143934,
-50.195447308012035,
-46.6308902441624,
-54.94843706342385,
-76.07097348665889,
-9.550892276089371,
57.82269778402201,
88.85237355413892,
72.42540847130249
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
651.8054829604548,
3.50908101569776e-18,
8.04128793302289e-06,
0.14404560248563356,
1270.5219025414542
],
"pcov": [
[
8397.23534611226,
13.539837955384119,
-2.2836186159062723e-05,
3.307181515361104,
0.000730869816501391
],
[
13.539837955384119,
0.02576305551935494,
-3.884444280690943e-08,
0.005082912380519369,
1.1232970495979389e-06
],
[
-2.2836186159062723e-05,
-3.884444280690943e-08,
8.98491448074e-14,
-9.162033967502938e-09,
-2.0247615839714657e-12
],
[
3.307181515361104,
0.005082912380519369,
-9.162033967502938e-09,
0.0013299365370069882,
2.939090183731651e-07
],
[
0.000730869816501391,
1.1232970495979387e-06,
-2.0247615839714657e-12,
2.93909018373165e-07,
6.495235575336598e-11
]
],
"r2": 0.9952725574622497,
"aic": 181.2642080577889,
"residuals": [
-0.1246359313290668,
-35.36031906264816,
-51.58251556838809,
7.930274973742371,
46.327753407195814,
45.964291675884624,
41.20148848855945,
41.00671032361413,
22.000636826579125,
-0.25710100682317716,
-15.538644391454909,
-48.10027639452426,
-57.11565316660858,
-43.65058840691097,
2.0872254739595064,
-16.302924329653024,
23.57342717178983,
15.981548450430068,
20.14358386816616,
4.637078449939054,
-29.118738121689603,
13.754109498326898,
29.191490808388153,
2.97780527415307,
-19.620679615139807
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
651.922699495349,
1.7213225957265e-10,
5.881839333802754e-06,
0.10540854697438544,
1474.3724406319386
],
"pcov": null,
"r2": 0.9952725550850382,
"aic": 181.26422062912624,
"residuals": [
-0.1615834688141149,
-35.388693846889055,
-51.603489691373625,
7.9212831307045235,
46.32784418273127,
45.97130598999979,
41.21378565967302,
41.02302215704799,
22.019968793613998,
-0.23553848564574764,
-15.514400730500142,
-48.0750454945354,
-57.09058292716543,
-43.62647236469218,
2.109831312229744,
-16.282221231033873,
23.588332856962438,
15.989921732442099,
20.145194928244337,
4.631943928781311,
-29.13047929480672,
13.735959778737652,
29.161203637563176,
2.9362946432015633,
-19.663798389483645
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
110.88738478533907,
-2696.8474539835474,
8.975671343604958e-06,
2195.004640471818,
1820.4952349914586
],
"pcov": [
[
6607.347017569228,
-73790.12383265045,
-0.00024092909774198703,
229175.1657242969,
12367.603656458874
],
[
-73790.12383265045,
831286.5691017406,
0.002783616938039228,
-2528657.960229673,
-146559.71702422109
],
[
-0.00024092909774198703,
0.002783616938039228,
1.0214789085974119e-11,
-0.00766434967224453,
-0.0005696731869615882
],
[
229175.1657242969,
-2528657.960229673,
-0.00766434967224453,
8714566.651827827,
378294.23167741473
],
[
12367.603656458874,
-146559.71702422109,
-0.0005696731869615882,
378294.23167741473,
33507.22088908976
]
],
"r2": 0.9963047061590906,
"aic": 175.10610077228918,
"residuals": [
30.633838253304702,
-26.924347487913565,
-55.18034253265159,
-5.953266310552863,
30.306186347092307,
31.140859592907645,
28.971106267982577,
31.86820772852252,
16.011062265167993,
-3.2627420941951186,
-13.442888293752276,
-42.21493542404801,
-48.675308575411464,
-33.71086464733844,
12.664982482758433,
-5.768324863054886,
31.994988414578984,
20.809283490390044,
21.06882005713078,
2.067959573225835,
-34.34918681033673,
6.932966120054061,
22.789694692268085,
1.8197829081682357,
-19.597528260645277
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
532.2071649187179,
-4898.634202101967,
4.0252976231236815e-20,
9999.999999998725,
-60.386758680713974
],
"pcov": [
[
10763.047107096998,
-58853.68102904452,
6.494856620295696e-05,
382782.03713366255,
-58853.68026595353
],
[
-58853.681029044536,
321999.13202817255,
-0.00035289571028033367,
-2103820.1708388897,
321999.1278532333
],
[
6.494856620295696e-05,
-0.00035289571028033367,
4.337224803897836e-13,
0.0021831048659601096,
-0.00035289570570385217
],
[
382782.03713366255,
-2103820.1708388897,
0.0021831048659601096,
14409544.1536084,
-2103820.1435651076
],
[
-58853.680265953546,
321999.12785323337,
-0.0003528957057038522,
-2103820.1435651076,
321999.1236782942
]
],
"r2": 0.9912635942129582,
"aic": 196.6170705908045,
"residuals": [
64.65426589403916,
14.10124632123945,
-14.84631253291142,
25.008166304941682,
49.268767740621456,
38.57446913829557,
26.19786929004067,
20.383295476063267,
-2.7461634024979276,
-27.98352744928917,
-46.75140328374084,
-80.54878661284408,
-89.34603939270505,
-74.69900271642246,
-27.129483320408667,
-43.24625153584839,
3.420067334116993,
3.3232693928013077,
15.127388894893329,
7.155792318938893,
-19.28831241212515,
30.623767826634094,
59.27583528214791,
45.17098435004414,
24.300097109426588
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
120.90330255302963,
-2806.2175528151233,
8.67708396514955e-06,
2609.2396860745325,
1834.7175509455478
],
"pcov": null,
"r2": 0.9962967272560009,
"aic": 175.16002274549402,
"residuals": [
27.818632997633813,
-26.923560978273144,
-54.17587436875783,
-4.572662404499397,
31.453071322281858,
31.94243667619321,
29.440810591530862,
32.05256093403386,
15.962175304453694,
-3.4959416566327945,
-13.921238608343856,
-42.81211966307251,
-49.302619177942006,
-34.307535741560514,
12.139295272044592,
-6.19763304430785,
31.85239459040247,
20.943612075427154,
21.420232341213705,
2.555358463214361,
-33.8130765756373,
7.432382739983495,
22.98597665952775,
1.4644340407523941,
-20.05260851725984
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1400.6177980251905,
8.772920023930426e-05,
1.9999999999999998
],
"pcov": [
[
3942.8116412310123,
0.0005512475209895645,
24.926416829675265
],
[
0.0005512475209895645,
4.864640287570131e-10,
1.3426401467364427e-05
],
[
24.92641682967527,
1.3426401467364427e-05,
0.40674565396634166
]
],
"r2": 0.9745788091774445,
"aic": 219.31917665704538,
"residuals": [
7.44244241714462,
2.8061483839470265,
7.727158667267382,
90.54744075542501,
136.84332995153915,
135.9495038855031,
126.01890916114635,
118.11647033925567,
90.05178544612102,
58.07901601722136,
22.92256166844436,
-28.773321425895574,
-55.3750214655729,
-57.571825856815394,
-25.40897335039699,
-55.245780230812215,
-34.99042717822033,
-50.631563154503056,
-44.903119280040755,
-51.17173874183004,
-69.74945304200651,
-7.221188080217189,
56.39820314294775,
84.74468662330332,
70.588894245868
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
601.625073792323,
0.0008382039385491984,
8.501339757269257e-06,
0.1421700737859796,
1178.057022986113
],
"pcov": [
[
1330143.9960458484,
-6557.809514403042,
43.39025714733036,
725844.7226545252,
-3068223216.045476
],
[
-6557.809514403041,
32.635955735009844,
-0.21541671490111622,
-3603.5311208976855,
15232593.732670305
],
[
43.39025714733035,
-0.21541671490111622,
0.0014228458306195762,
23.80166603211662,
-100612.6004579714
],
[
725844.7226545252,
-3603.5311208976855,
23.801666032116625,
398159.3058366269,
-1683068863.9826875
],
[
-3068223216.0454755,
15232593.732670305,
-100612.6004579714,
-1683068863.9826875,
7114541262097.455
]
],
"r2": 0.9950979084967945,
"aic": 179.4419072695546,
"residuals": [
2.9399916855520587,
-31.86773504344592,
-48.44372850093282,
8.453007900017155,
44.604330923354496,
45.232642745396674,
39.258875741748625,
39.34473533765356,
19.908541917028174,
-0.8794231700147748,
-15.633065381711845,
-47.60482117980496,
-56.45975874458361,
-44.06059239469084,
-1.3714228436534768,
-15.861782191832958,
22.81446795901786,
16.299991609915423,
21.81212668384228,
7.831195569189049,
-23.608606951108868,
13.183899543616917,
25.910619190618718,
1.3838533304751763,
-19.11561092767647
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
603.7258619387736,
1.4524787249681791e-09,
5.855392375153232e-06,
0.09899598825858173,
1402.4335728535134
],
"pcov": null,
"r2": 0.9951008979868715,
"aic": 179.4266566260244,
"residuals": [
1.316748617246958,
-33.23910113511988,
-49.596085412990305,
7.660101676311342,
44.09048463863519,
44.93820861500444,
39.13855588632032,
39.36345082277785,
20.03867156033175,
-0.6599423392576682,
-15.28516189031302,
-47.17721095245838,
-55.98642231620022,
-43.56590783663421,
-0.8732838170066088,
-15.37357267765276,
23.238312261746614,
16.624743973432714,
22.01844085475898,
7.907912957587996,
-23.668032835980284,
12.984491002109053,
25.42564524722866,
0.6108146938627215,
-19.931880223205326
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
104.70659541950384,
-2520.098361708935,
9.352662567623302e-06,
2123.4660218768227,
1695.9381291666027
],
"pcov": [
[
5925.066951955302,
-65203.11645415863,
-0.00023255290946288913,
212301.04544177832,
10246.254223155982
],
[
-65203.11645415863,
723163.1124085353,
0.0026422153745480495,
-2310988.890995231,
-119382.25207767557
],
[
-0.00023255290946288916,
0.0026422153745480495,
1.0628794769612803e-11,
-0.007635439686493227,
-0.0005105040803769376
],
[
212301.04544177832,
-2310988.890995231,
-0.007635439686493227,
8353183.348428856,
323006.01732505386
],
[
10246.254223155982,
-119382.25207767557,
-0.0005105040803769376,
323006.0173250539,
25974.215675541775
]
],
"r2": 0.9961631281173898,
"aic": 173.3167940015932,
"residuals": [
29.551467177449922,
-26.33359868583193,
-53.8979570553895,
-5.802189024627296,
29.118214447548553,
31.47990277318786,
28.389950034228832,
31.69455126954722,
15.423139707574592,
-2.4402286438812553,
-12.344643170704103,
-40.863440530159096,
-47.52013372923125,
-33.9646070807662,
9.050810907880418,
-5.754912061996379,
30.314313551636587,
19.95998611786854,
21.525379516082126,
4.15778353602127,
-29.728282329529748,
5.758655196454129,
19.569932676281496,
0.942037785411685,
-18.28612901585666
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
504.0816582407316,
-4812.540151272281,
1.6124696606714713e-20,
9999.999999999429,
120.21455739173918
],
"pcov": [
[
8503.958360807153,
-46634.83261012929,
6.0613402292548805e-05,
325554.9052768933,
-46634.833556032805
],
[
-46634.83261012929,
255882.24896572597,
-0.00033026518545756803,
-1794313.3426601796,
255882.25415581022
],
[
6.0613402292548805e-05,
-0.00033026518545756803,
4.811844645164072e-13,
0.0021922680591665022,
-0.0003302651921567919
],
[
325554.90527689335,
-1794313.3426601796,
0.0021922680591665022,
13181748.734043943,
-1794313.3790529433
],
[
-46634.833556032805,
255882.25415581022,
-0.0003302651921567919,
-1794313.379052943,
255882.2593458946
]
],
"r2": 0.9918392138944112,
"aic": 192.18387100377663,
"residuals": [
57.089985191837044,
9.182886097885316,
-18.227812147795262,
22.030160979169054,
46.30579990389606,
38.31735155767592,
26.03807228170035,
21.504670468635197,
-1.2920818160459362,
-24.483282278638796,
-41.98571275855318,
-74.84652899146329,
-83.39920193803232,
-69.9146842719357,
-25.617103926736604,
-38.14720602985835,
6.29433787044411,
6.071435982151684,
17.95504609828788,
10.22608871886564,
-15.169615117655667,
27.42372257123361,
50.99839189427507,
36.36803172686223,
17.27724794375581
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
112.88731652631778,
-2608.308111110813,
9.08958225304851e-06,
2473.497811824736,
1706.6246645494598
],
"pcov": null,
"r2": 0.9961566792737081,
"aic": 173.35877761792747,
"residuals": [
27.179019602263907,
-26.28568067167612,
-53.017476733866715,
-4.637674694904263,
30.067888402639255,
32.131162513999925,
28.759881495015406,
31.825446869781672,
15.36052038240723,
-2.654363320909397,
-12.757196611939435,
-41.36858592465592,
-48.044386585033635,
-34.45818280877188,
8.620534697514017,
-6.101736140945945,
30.21026992586667,
20.086097720326052,
21.82892463485439,
4.569753685652131,
-29.280870800445882,
6.171006236601215,
19.725324931075875,
0.6421795898418168,
-18.66756629874544
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1321.698429897434,
8.969751088144173e-05,
1.9999999999999998
],
"pcov": [
[
3367.994075012586,
0.0005223299172681536,
22.888015190187836
],
[
0.0005223299172681536,
5.223928049394129e-10,
1.402915612461015e-05
],
[
22.888015190187836,
1.402915612461015e-05,
0.4122714695898261
]
],
"r2": 0.9742377361961914,
"aic": 216.92312793258503,
"residuals": [
7.528038978576514,
2.9339043664173188,
7.181863709367182,
86.99690162115377,
130.9585079653517,
131.1841260080017,
120.30462970397957,
113.01973726482305,
84.89809105543986,
54.78130608013737,
20.9177668731906,
-29.464707806380147,
-55.23582276248635,
-57.88472836550511,
-28.214627283325513,
-53.65527948437318,
-33.62935233051326,
-47.61738939234499,
-40.350914865332925,
-45.268617699075094,
-62.03119514364016,
-6.368705703195474,
52.28498870484145,
79.40928214857718,
66.8764252708911
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
560.3569585921985,
1.2875100179149226e-13,
8.713473767522793e-06,
0.1383820436368024,
1113.543757874917
],
"pcov": [
[
5887.158388630251,
10.265920920769217,
-1.75334218164766e-05,
2.7128203270850353,
0.0006699405363614543
],
[
10.265920920769217,
0.02128036462290274,
-3.122232485510637e-08,
0.004513601114061801,
1.114649726867591e-06
],
[
-1.7533421816476598e-05,
-3.1222324855106366e-08,
8.693573940164056e-14,
-8.39516202430196e-09,
-2.07321478962187e-12
],
[
2.712820327085035,
0.004513601114061801,
-8.395162024301961e-09,
0.001277381252055875,
3.15453796124257e-07
],
[
0.0006699405363614543,
1.114649726867591e-06,
-2.0732147896218703e-12,
3.15453796124257e-07,
7.790242523839097e-11
]
],
"r2": 0.9948769744730703,
"aic": 177.98474257701562,
"residuals": [
2.163460324586822,
-31.819133257174826,
-48.0539183050189,
6.885418228098729,
42.047728506336625,
44.44053036450305,
37.66372688405113,
38.264499557464774,
19.36149534268054,
-0.3597197903760616,
-14.050110741993876,
-44.56116268622952,
-55.663524828176946,
-43.58817959000419,
-2.3292367997601104,
-16.205650954341763,
21.926299203562166,
16.32256822946806,
22.445400751608076,
9.252365768494542,
-21.783335206619313,
12.623174368448417,
23.566468369322592,
0.37789486851943366,
-18.918074474578816
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
560.4376567391874,
6.933672182219436e-10,
6.265804585504314e-06,
0.09954555412778997,
1298.3417710280105
],
"pcov": null,
"r2": 0.99487697280175,
"aic": 177.98475073293847,
"residuals": [
2.1348487650664083,
-31.840702907129753,
-48.06950094642548,
6.879333947608984,
42.04866342849709,
44.4466905281688,
37.67378207163904,
38.27744335288571,
19.37655340682045,
-0.3431517240182984,
-14.03185788030919,
-44.54246699271437,
-55.64520596071441,
-43.570789889554135,
-2.313153307412904,
-16.191132430115317,
21.93625167439609,
16.327537721861063,
22.445305833285147,
9.247280629450643,
-21.79326427822639,
12.60857871303233,
23.54310162088086,
0.3464782766745884,
-18.950640534261538
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
104.18844115473574,
-2424.563290166004,
9.38226102723356e-06,
2129.435768714375,
1604.5455156520084
],
"pcov": [
[
5717.393394955071,
-62674.025633432786,
-0.00023882079870710327,
205401.61942557213,
9670.074317422437
],
[
-62674.0256334328,
692160.9250790435,
0.0026997367087609418,
-2228022.0155284693,
-112059.10630473557
],
[
-0.00023882079870710327,
0.0026997367087609418,
1.1585863023410955e-11,
-0.007866456895429932,
-0.0005114262109556943
],
[
205401.61942557213,
-2228022.0155284693,
-0.007866456895429932,
8101246.69964579,
305661.88768473803
],
[
9670.074317422439,
-112059.10630473557,
-0.0005114262109556944,
305661.8876847381,
23942.940855299545
]
],
"r2": 0.9959802857248494,
"aic": 171.92138348997176,
"residuals": [
29.026488046402847,
-25.661242866201974,
-52.6736652974962,
-6.365739896999912,
27.554112626464075,
31.576566698550323,
27.533417482391542,
31.18242390974342,
15.26886040321051,
-1.698594035810629,
-10.848079626422305,
-38.15601911222166,
-47.248326449591104,
-34.14719392522625,
7.358247984202876,
-6.869977923441866,
28.706578925651797,
19.444201579303694,
21.86098750344661,
5.5335482552045505,
-27.716365350859178,
5.576011168202513,
17.82050849693519,
0.49737125269189164,
-17.55412349646258
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
389.5844432074247,
-6490.980127548725,
1.0273929292667832e-06,
9999.99258448747,
2892.1097790406216
],
"pcov": [
[
255668.73155214393,
-8145232.6508042095,
-0.005266654407224753,
5408345.373527813,
5585628.296693185
],
[
-8145232.650804209,
267444078.17053118,
0.173120586192869,
-167242722.77860457,
-186071411.12662575
],
[
-0.005266654407224752,
0.173120586192869,
1.1209509672122788e-10,
-0.10786634136702178,
-0.12051403825255377
],
[
5408345.373527813,
-167242722.77860457,
-0.10786634136702178,
118791365.67808789,
112959329.25832117
],
[
5585628.296693185,
-186071411.12662575,
-0.12051403825255377,
112959329.25832117,
130328526.68232226
]
],
"r2": 0.995084842958438,
"aic": 176.94920549758788,
"residuals": [
18.133847261115534,
-21.70520625417248,
-42.46051085248382,
6.28073203313852,
37.786467737567364,
38.13062369354793,
30.34959257451328,
30.63536798424957,
11.875047185807489,
-7.400807419527155,
-19.683907203209856,
-48.487210541871264,
-57.840462963863956,
-44.105998916535555,
-1.3430323976449472,
-13.900019258258908,
26.68269165272568,
22.394634394872355,
28.864440019909807,
15.220526020706757,
-16.91508676792637,
15.86586897043776,
22.365257639471338,
-6.3836124996787476,
-26.582999232229895
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
111.48573258371762,
-2502.9853365633016,
9.131694070885986e-06,
2442.0277392796434,
1613.8797123111142
],
"pcov": null,
"r2": 0.9959746320606493,
"aic": 171.9565208880744,
"residuals": [
26.92033631028312,
-25.609523341191107,
-51.88391623089365,
-5.329095154962715,
28.396229112314586,
32.151552386238336,
27.857513828585297,
31.29386405012815,
15.208492551866584,
-1.893210204180832,
-11.217890965567676,
-38.60686939470361,
-47.715001107217404,
-34.585623274413365,
6.9768543579539255,
-7.17662697842411,
28.616368952404173,
19.558388615269337,
22.132241500055898,
5.900353504830036,
-27.318835957224564,
5.941804448124458,
17.95777833543525,
0.23155202778912098,
-17.892066926706775
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1251.6966719051177,
9.190324952252207e-05,
1.9999999999999998
],
"pcov": [
[
2956.0753470829777,
0.0005083960799672892,
21.533695097373457
],
[
0.0005083960799672892,
5.777465421050119e-10,
1.50609106158285e-05
],
[
21.533695097373457,
1.50609106158285e-05,
0.4282441300249764
]
],
"r2": 0.973240435299936,
"aic": 215.3134120910276,
"residuals": [
7.46853542327867,
3.0130087532838523,
6.9711227168530066,
83.83300348473486,
126.1684622031408,
127.80508479543829,
115.96774033831593,
109.17481056845537,
81.6491867006153,
52.71789443749856,
20.254335010519185,
-28.25842303517345,
-55.8331816579564,
-58.34898386885209,
-29.654451350900672,
-54.040870637318335,
-33.5800175157849,
-45.92350081493589,
-37.60194341340696,
-41.583802539145836,
-58.075517996689086,
-5.186046098083807,
50.28201228844864,
76.72647515615654,
65.0562736128229
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
515.6641531105435,
0.004451437858249328,
8.928752836205803e-06,
0.13347839795627287,
1041.0247760809218
],
"pcov": [
[
844073.2699697209,
-4892.751528569329,
6.403502931082903,
95885.83159224465,
-368269691.2404398
],
[
-4892.751528569329,
28.654257930250825,
-0.03740465025141992,
-560.0757054852781,
2151159.494832975
],
[
6.403502931082903,
-0.037404650251419924,
4.8862484571366154e-05,
0.7316449567692228,
-2810.107235494664
],
[
95885.83159224466,
-560.0757054852781,
0.7316449567692228,
10955.325334419786,
-42077287.521280654
],
[
-368269691.2404398,
2151159.494832975,
-2810.1072354946637,
-42077287.52128065,
161610748163.79156
]
],
"r2": 0.9945794084898213,
"aic": 176.21822861977574,
"residuals": [
4.340060899287664,
-28.82498006780952,
-44.72375372429144,
7.614377659240631,
40.3383588007697,
44.24854229604421,
37.082376508402376,
38.18082703985374,
19.385148884659657,
0.6499379408646746,
-11.552848971084359,
-40.64474253634967,
-54.912994467791805,
-44.09631835825428,
-5.050258378419585,
-17.86010992674403,
18.623812640255665,
14.317097480396797,
22.93116861410158,
12.19802519463235,
-19.520960337192946,
10.384299065609412,
21.84789253397821,
0.40764551124220816,
-17.61343429045428
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
514.6434699323413,
4.023176881182871e-10,
6.668203429820492e-06,
0.09983395469590932,
1190.7988020421867
],
"pcov": null,
"r2": 0.9945902405057719,
"aic": 176.16822091661808,
"residuals": [
2.5959734498719627,
-30.43468376125975,
-46.21006462199898,
6.347542382905658,
39.261568861545584,
43.33844125216194,
36.31994025716642,
37.55022649426462,
18.872977510160695,
0.24466957990102856,
-11.773222833752811,
-40.71181367345628,
-54.85230790561468,
-43.92909116480007,
-4.79449401631291,
-17.53135314607391,
19.078778128543945,
14.83357836075811,
23.45792858994355,
12.692931619261913,
-19.093528119025564,
10.713496828796679,
21.90256663396258,
0.10087005444552233,
-17.980945658378687
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
101.93083043133406,
-2303.33834558116,
9.372968189703592e-06,
2109.051826999817,
1502.4586988439548
],
"pcov": [
[
5296.469900097746,
-57945.72899622716,
-0.00023938624121751993,
192484.82676168034,
8901.49316205821
],
[
-57945.72899622716,
638616.6207489916,
0.0026996050383037967,
-2083981.0458455167,
-102901.79568517953
],
[
-0.00023938624121751993,
0.0026996050383037967,
1.2546825876083276e-11,
-0.007977209673678709,
-0.0005086707442812607
],
[
192484.82676168028,
-2083981.0458455167,
-0.007977209673678709,
7683538.907755587,
284522.26096141787
],
[
8901.49316205821,
-102901.79568517953,
-0.0005086707442812607,
284522.26096141787,
21889.07044219543
]
],
"r2": 0.9957650247232235,
"aic": 170.04754227071808,
"residuals": [
28.230849139672955,
-24.92260578810351,
-51.05385182415057,
-6.6230294964464065,
25.275412301583174,
31.053209713444858,
26.751669197431056,
30.96500453900785,
15.187378736615301,
-0.7869269350483137,
-8.460426485487233,
-34.36187897889863,
-46.61624356293066,
-34.74869601896421,
4.589196107344037,
-8.510338614377247,
25.61853422214483,
17.867285494334055,
22.954046586363802,
9.197170686026766,
-24.713283578590108,
4.001941916841361,
16.305589937131117,
-0.13089722506833823,
-17.069112624784566
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
449.6240601723825,
-5157.278167929941,
2.09712310300853e-21,
9999.999999999827,
982.0473963741895
],
"pcov": [
[
2535.6589683934403,
-14658.77291747627,
5.811256802601484e-05,
148647.2930040131,
-14658.772866115334
],
[
-14658.77291747627,
84778.29232216234,
-0.00033572434835466963,
-862144.3099350946,
84778.29202512071
],
[
5.8112568026014824e-05,
-0.0003357243483546696,
1.763099564680201e-12,
0.0033100768475174745,
-0.00033572434717835657
],
[
148647.2930040131,
-862144.3099350946,
0.0033100768475174745,
9080699.256386356,
-862144.3069144887
],
[
-14658.772866115334,
84778.29202512071,
-0.0003357243471783566,
-862144.3069144887,
84778.29172807909
]
],
"r2": 0.9926699410171061,
"aic": 183.7626940805151,
"residuals": [
41.569279841140315,
-1.039877988451508,
-24.68385393638505,
15.89595521763863,
40.35161143520986,
38.348938542317455,
26.92043802484136,
24.947761003507594,
3.9613082107882747,
-16.301348053313404,
-30.1494001116896,
-59.63013685130932,
-73.4965174403676,
-61.768085395742446,
-21.477154911984826,
-32.824099849679214,
7.824009105798041,
7.9448186260326565,
20.967537221535395,
14.504079416533614,
-13.133069782582197,
20.650326194130912,
39.265963231059914,
24.234805703934626,
7.116712548195437
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
108.08871304094139,
-2369.3767402959384,
9.143636639546335e-06,
2375.8241006010308,
1510.2843520719996
],
"pcov": null,
"r2": 0.9957603429284783,
"aic": 170.0751646797445,
"residuals": [
26.4371930508089,
-24.862288906442927,
-50.36936200860282,
-5.738954649907555,
25.98813835622559,
31.53610907180405,
27.020361080610883,
31.052968981079403,
15.129854401098783,
-0.9577591665208729,
-8.77834409856564,
-34.74696542452125,
-47.01337040774047,
-35.12074437504282,
4.26637903105518,
-8.76914916202827,
25.543970888805916,
17.965939338962926,
23.18537124937052,
9.508881286142582,
-24.376084811498686,
4.311862389116413,
16.421847082302065,
-0.35506158174894153,
-17.354121225787367
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1171.526763634943,
9.412034202934037e-05,
1.9999999999999998
],
"pcov": [
[
2560.800849207236,
0.0004932226971073359,
20.215349412639615
],
[
0.0004932226971073359,
6.434127218028123e-10,
1.6293142746503055e-05
],
[
20.21534941263961,
1.6293142746503055e-05,
0.4486947529815375
]
],
"r2": 0.971956915127686,
"aic": 213.30665683835448,
"residuals": [
7.529141902923454,
3.182216429552125,
6.901588898673705,
80.41507447507146,
120.00502548610083,
123.15386052974662,
111.11140524660894,
105.11232342484308,
78.0529467221071,
50.49949253163521,
20.342238995289904,
-25.937185405644584,
-55.8969125691541,
-58.93842076371152,
-31.781360400749122,
-54.49028737139963,
-34.46065737319725,
-44.755663663370115,
-33.6483140237699,
-35.29796119917205,
-52.97508801328786,
-5.411027876416256,
48.167154822349175,
73.23264060564452,
62.32510008094505
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
480.61049216336784,
4.241277833989031e-16,
7.715992922326108e-06,
0.11033212682603467,
1064.3408298980678
],
"pcov": [
[
3474.8289883805496,
9.671969822416312,
-1.0904278800521177e-05,
1.6540590465460254,
0.0003797167464980966
],
[
9.671969822416312,
0.0337461963095168,
-3.828225005509498e-08,
0.004320505174673078,
9.918437744532803e-07
],
[
-1.0904278800521177e-05,
-3.828225005509498e-08,
7.387941514685607e-14,
-5.1558476085580844e-09,
-1.183610514020361e-12
],
[
1.6540590465460256,
0.004320505174673078,
-5.155847608558085e-09,
0.0008097562075667805,
1.8589299652924121e-07
],
[
0.0003797167464980967,
9.918437744532803e-07,
-1.183610514020361e-12,
1.8589299652924121e-07,
4.267482710933172e-11
]
],
"r2": 0.9943365763764529,
"aic": 174.71709198987193,
"residuals": [
2.904742961558668,
-29.573436506192138,
-44.97327738215779,
5.388315690725221,
37.07745143080069,
42.828378118192404,
35.362087024939115,
37.03768360169272,
19.14079225357375,
1.3553985345198498,
-9.836203580254733,
-37.07252787013931,
-54.65465733855615,
-44.194184069889616,
-6.209528437101881,
-18.31635647360656,
16.984579590454132,
13.189613439554023,
23.22180480422071,
12.689233451922064,
-17.779035671099905,
9.674769963448853,
20.574823044804134,
1.1217707896439606,
-15.938481801335683
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
480.6573837694329,
7.077621585158084e-11,
6.191059741562184e-06,
0.08854925621814254,
1170.1763076425839
],
"pcov": null,
"r2": 0.9943365755548718,
"aic": 174.7170956165699,
"residuals": [
2.886578705313468,
-29.58683177593639,
-44.982676919372125,
5.385134863922303,
37.07875814769386,
42.832952499629755,
35.369044634083934,
37.04636818374138,
19.15070748869539,
1.3661630583230817,
-9.824568189449565,
-37.06077589664221,
-54.64327475531934,
-44.18349069280259,
-6.19973719799259,
-18.307609436083794,
16.9903753609525,
13.192266872970094,
23.221310497075365,
12.685667751329788,
-17.78556146406413,
9.665408090869619,
20.560163139255565,
1.102277782935289,
-15.958663047793152
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
102.74522139901185,
-2243.82797388213,
9.1180000126463e-06,
2147.551290727161,
1435.4969306119835
],
"pcov": [
[
5202.973412079565,
-57247.91332559057,
-0.00024907329456796696,
189102.99745534745,
9052.610786637884
],
[
-57247.913325590576,
634673.6645222649,
0.002825444407187699,
-2058033.723267466,
-105253.67675754649
],
[
-0.00024907329456796696,
0.002825444407187699,
1.377171716063672e-11,
-0.008310040747035967,
-0.000544498602065016
],
[
189102.99745534745,
-2058033.723267466,
-0.008310040747035967,
7542060.981120312,
289790.67399413395
],
[
9052.610786637884,
-105253.67675754648,
-0.0005444986020650159,
289790.6739941339,
22809.656620104688
]
],
"r2": 0.9955633276519004,
"aic": 168.61399285155983,
"residuals": [
27.916149770731636,
-24.208191103362196,
-49.75057759094125,
-7.375822677493716,
23.28728946625506,
30.674681248434354,
25.844533707198025,
30.423459991316577,
15.356002402921376,
0.16780530250684933,
-6.748729511856709,
-30.96162031949666,
-46.625426718675726,
-35.15373579267316,
3.125276193742593,
-9.23813935340354,
23.865576659502494,
16.81297366558408,
23.472451713201167,
10.005346104321688,
-22.64636077285718,
3.5390905442901612,
14.872134597818786,
-0.2754459641896574,
-16.378717486442838
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
426.9042923146854,
-4126.094666265838,
4.0824391902302514e-21,
9999.999999999412,
166.08083939188174
],
"pcov": [
[
5228.933285260919,
-28708.14568762355,
4.588109802418767e-05,
238193.34712744385,
-28708.146900837117
],
[
-28708.145687623553,
157701.7567282956,
-0.0002502765930078411,
-1314291.1589715385,
157701.76339273367
],
[
4.588109802418767e-05,
-0.0002502765930078411,
4.4957287149742655e-13,
0.0019743501261351108,
-0.0002502766035860577
],
[
238193.34712744385,
-1314291.1589715385,
0.0019743501261351108,
11472292.39484235,
-1314291.2145079088
],
[
-28708.146900837117,
157701.76339273364,
-0.0002502766035860577,
-1314291.2145079088,
157701.77005717202
]
],
"r2": 0.9928339276818839,
"aic": 180.60032001078548,
"residuals": [
35.935016550579064,
-4.743571771240852,
-26.858755694742115,
13.321908156193956,
37.856959877627276,
38.488557424335056,
27.324398315143924,
26.325679168282193,
6.509677659791805,
-12.626412951251268,
-25.312236319683734,
-52.9664769035337,
-70.28780099439086,
-59.127048739331485,
-20.153049635638354,
-31.079338657448943,
7.629103528996666,
7.500288620168931,
21.21513465312728,
14.277106345343782,
-12.728788603689281,
18.03942950531018,
35.12212742484121,
21.298730814222154,
5.0393622301874075
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
108.57806241727667,
-2306.6745346977805,
8.88715159173985e-06,
2399.5543190097615,
1443.2083457195663
],
"pcov": null,
"r2": 0.9955588788386102,
"aic": 168.63904870388282,
"residuals": [
26.253998940658676,
-24.157976345357156,
-49.11806130538912,
-6.552497472582218,
23.953726707536816,
31.128070821639312,
26.098499839727538,
30.508701384206233,
15.30509484088202,
0.010609847989144328,
-7.044488143045783,
-31.321374454051806,
-46.997589818424444,
-35.503465306254384,
2.820744098921182,
-9.483461078186565,
23.79178848825336,
16.901448256012486,
23.686014816693046,
10.295523354310149,
-22.330787527753728,
3.8305745041839145,
14.984119935311355,
-0.4827639635986998,
-16.643341661121895
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1110.2983906159902,
9.592477439636405e-05,
1.9999999999999996
],
"pcov": [
[
2310.050861201494,
0.00048704486927745124,
19.451937898389133
],
[
0.00048704486927745124,
7.097194732469966e-10,
1.7563866752129865e-05
],
[
19.45193789838913,
1.7563866752129865e-05,
0.4716274020667556
]
],
"r2": 0.9705155998283045,
"aic": 211.9629101374852,
"residuals": [
7.855028152465697,
3.3550818085677196,
6.868915504217572,
77.38294267049108,
115.32957236431768,
119.99739894471409,
107.51977852551272,
102.0814770115189,
75.97978854546949,
49.4833723920014,
20.636008846647883,
-23.430807120443944,
-56.32428120789734,
-59.33970539994891,
-32.87408536821965,
-54.532950144052734,
-34.964568528144014,
-44.28015390480152,
-31.556716329002597,
-33.06400617569295,
-49.77662060399962,
-5.144003912146559,
46.468247475237604,
71.73454242627008,
61.4996349373821
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
457.8845661666711,
0.001202439157764824,
8.205961216755075e-06,
0.11484930740668403,
994.1052192476369
],
"pcov": [
[
603632.6844594824,
-4233.223262876102,
18.478238632307498,
258731.07944838158,
-1029886328.1604688
],
[
-4233.223262876101,
30.00300267663951,
-0.1305731766108835,
-1828.2591540014757,
7277502.129771528
],
[
18.4782386323075,
-0.1305731766108835,
0.0005687888441883132,
7.964086535944852,
-31701.480691629822
],
[
258731.07944838158,
-1828.259154001476,
7.964086535944851,
111511.81253469863,
-443878845.955822
],
[
-1029886328.1604688,
7277502.129771528,
-31701.480691629822,
-443878845.955822,
1766883947245.2224
]
],
"r2": 0.9942410310062376,
"aic": 173.04241936491798,
"residuals": [
4.546403184797782,
-26.981439656106772,
-42.161993561108034,
5.313922136863198,
35.42490264404296,
42.413068489969646,
34.42072576766816,
36.06068438806756,
18.96211586269567,
1.9566509964010947,
-8.150704824043828,
-33.944211030563,
-54.417952061630274,
-44.12240596725621,
-7.578176827937114,
-18.72933780060066,
14.991842236974207,
11.859150164126504,
21.85718041987684,
13.02623914762944,
-17.109331141586495,
9.334532752677887,
19.93868498674783,
2.3401207453107418,
-14.343056342910131
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
459.42009114751204,
1.290664114533648e-10,
6.262934515243069e-06,
0.08874481261301556,
1117.797773392249
],
"pcov": null,
"r2": 0.9942465756152478,
"aic": 173.01833831914155,
"residuals": [
2.777958810838072,
-28.47438117423667,
-43.4196959091812,
4.433862716515478,
34.83105923364724,
42.040223780247175,
34.2209234379942,
35.99776843022153,
19.00825089491559,
2.090023489572445,
-7.8915680476980015,
-33.60555054298618,
-54.031394749178844,
-43.710319727642286,
-7.156816689282209,
-18.310784849254787,
15.36779741375608,
12.161109659744625,
22.067274081221967,
13.133718482022232,
-17.1112158870219,
9.218890842942528,
19.58758047555989,
1.7475054507744971,
-14.972230840315433
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
100.75245424499293,
-2176.5586632724962,
8.966848173851627e-06,
2171.2363145811637,
1383.2134595837917
],
"pcov": [
[
4951.495243061556,
-54720.08008831207,
-0.00024705158165879386,
184649.98604920518,
8835.203615491797
],
[
-54720.08008831207,
609446.9189393915,
0.0028158740901256148,
-2017643.9559286695,
-103215.64774561356
],
[
-0.00024705158165879386,
0.0028158740901256148,
1.4213546303046208e-11,
-0.008461757907715622,
-0.0005522348951360158
],
[
184649.98604920515,
-2017643.9559286695,
-0.00846175790771562,
7552103.829128083,
290447.08214405406
],
[
8835.203615491797,
-103215.64774561353,
-0.0005522348951360157,
290447.08214405406,
22703.264898490346
]
],
"r2": 0.9954978342986267,
"aic": 166.88742145062668,
"residuals": [
27.123584153980346,
-23.14566618787694,
-47.95690372866352,
-7.936821101587839,
21.38922887918079,
30.129229477853187,
24.828422405533274,
29.398166206314045,
15.142482083035702,
0.7431584062787806,
-5.06875802764614,
-27.805294246922017,
-46.31248473240396,
-34.94579317393459,
1.960211249440249,
-9.376816252922481,
22.315386703446848,
16.049618113862493,
22.731956288635843,
10.944874116372489,
-21.477491120455625,
3.51457921298595,
13.963867765337227,
-0.16909217535226162,
-16.039648543159274
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
409.4017571463146,
-2687.7959191773743,
8.645449284397632e-25,
9999.999999999998,
-1108.7587766003326
],
"pcov": [
[
6605.876107203446,
-35731.861114833766,
2.8462175594647542e-05,
283131.025824065,
-35731.86241460919
],
[
-35731.861114833766,
193386.09561291168,
-0.00015305340808420168,
-1539623.2146620557,
193386.10264747226
],
[
2.8462175594647542e-05,
-0.00015305340808420168,
1.3274598978692884e-13,
0.0011561463506164827,
-0.00015305341365177153
],
[
283131.025824065,
-1539623.2146620557,
0.0011561463506164827,
12874638.485275852,
-1539623.2706659422
],
[
-35731.86241460919,
193386.1026474723,
-0.00015305341365177153,
-1539623.2706659425,
193386.1096820331
]
],
"r2": 0.9928250056108365,
"aic": 178.53850724240024,
"residuals": [
33.68989059528076,
-5.253158968385378,
-26.492389663441827,
11.827004320755805,
35.531301481628816,
37.95546459492516,
26.682760156433687,
25.964271330377414,
7.185807427617874,
-10.990037223098625,
-22.359282359491772,
-48.45642607145783,
-68.6326247967827,
-57.65256185301041,
-20.171103833971756,
-30.219424211369187,
6.646293958253409,
6.8652259826121735,
20.210422801688765,
14.632297096625734,
-12.381511467842756,
17.040960399460346,
33.176678701453056,
20.58654733459207,
4.61359426717172
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
106.56164547567371,
-2239.3916495387743,
8.726715587565519e-06,
2428.10160361158,
1391.1255006776903
],
"pcov": null,
"r2": 0.9954931492202936,
"aic": 166.91342361615284,
"residuals": [
25.497235441049497,
-23.099450534901507,
-47.337550209867686,
-7.126500133231502,
22.046877400931635,
30.577719085474882,
25.08051382384656,
29.48375567544781,
15.093492144481843,
0.5889368150017162,
-5.360536066324698,
-28.161024655438155,
-46.68113747120003,
-35.2928248934827,
1.6574308346790758,
-9.621358378224727,
22.240229601409624,
16.135309805281395,
22.94213935752998,
11.23178941041715,
-21.16451739217905,
3.8044834795556426,
14.076693904158901,
-0.37356623136679445,
-16.30121649285934
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1064.5597849745377,
9.634340265199601e-05,
1.9999999999999993
],
"pcov": [
[
2140.5357257110486,
0.0004746384469173877,
18.84491287464492
],
[
0.00047463844691738764,
7.308339201185165e-10,
1.7991603463827572e-05
],
[
18.84491287464492,
1.7991603463827572e-05,
0.4803371158835401
]
],
"r2": 0.969959942047994,
"aic": 210.3367516526037,
"residuals": [
7.864727020263554,
3.5824131056522717,
6.840382542664761,
74.0336046149227,
110.37818403126973,
116.47465973114913,
103.77185301179625,
98.65094830155238,
73.7215548041354,
48.38271491728631,
21.351079524931663,
-20.60028108091035,
-55.78549124061482,
-58.44357743396927,
-32.974452470143206,
-53.31051180831855,
-34.71893467367738,
-43.16677089653524,
-30.5992431763558,
-30.78735278982367,
-47.752063396661356,
-4.867407842369289,
44.666546058638346,
69.78043674532273,
59.61209486338021
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
432.2498595101452,
0.0008495619035423816,
8.152142334772714e-06,
0.1110131695066237,
952.4791513255763
],
"pcov": [
[
518174.48362865817,
-3896.9977509677146,
23.840318351332744,
324749.6248476969,
-1263057015.3170772
],
[
-3896.9977509677146,
29.625367711927563,
-0.18067592976078872,
-2461.1260220100507,
9572182.209739944
],
[
23.840318351332744,
-0.18067592976078872,
0.0011029778006883004,
15.024538426065885,
-58435.59999446041
],
[
324749.6248476969,
-2461.1260220100507,
15.024538426065883,
204661.19616151397,
-795997813.7114677
],
[
-1263057015.3170772,
9572182.209739944,
-58435.599994460405,
-795997813.7114677,
3095909405249.542
]
],
"r2": 0.9940909334468205,
"aic": 171.24299218378678,
"residuals": [
5.260724025013246,
-25.037492867791684,
-40.062736559705854,
4.732442782337898,
33.503644078742695,
41.89441258152726,
33.718110979340736,
35.520029389281035,
19.08245408392736,
3.149837388173296,
-6.686661135143368,
-31.415362401234518,
-52.492822341323574,
-43.12825053971778,
-8.784920312785061,
-19.14938911406739,
13.294319052668584,
10.339824951707556,
20.937752078718404,
13.39659400692949,
-16.332604130989353,
8.763115537104795,
19.06383022030036,
1.9432641114794933,
-13.325128406889917
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
432.9845706172478,
7.959459171349459e-05,
6.79536925682424e-06,
0.09315289500925834,
1031.0797333499834
],
"pcov": null,
"r2": 0.9940966722532133,
"aic": 171.21870072052158,
"residuals": [
4.305479141492469,
-25.845776817621072,
-40.745811505550705,
4.249931026816853,
33.17289212632079,
41.680810320298065,
33.59631938305449,
35.47100612745112,
19.09157321864052,
3.2056553688240683,
-6.562971603263691,
-31.24802897487143,
-52.298437205661344,
-42.91858149561551,
-8.568555196927605,
-18.932745956906274,
13.492561464486698,
10.50251017062783,
21.05480331342403,
13.461693892822268,
-16.32363608051196,
8.713051202342172,
18.88991341028418,
1.6404172788545566,
-13.647637005523393
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
99.17565671040892,
-2104.670470104932,
8.801097050876027e-06,
2193.624640163662,
1323.0341813710334
],
"pcov": [
[
4706.186186116243,
-52231.6249758142,
-0.0002473292720517827,
179083.25858468594,
8611.927132667146
],
[
-52231.6249758142,
584340.6236310686,
0.002831822041221905,
-1964457.3119821418,
-101061.40118311366
],
[
-0.00024732927205178265,
0.002831822041221905,
1.4954173840401976e-11,
-0.008649710410855152,
-0.0005649044565028922
],
[
179083.25858468594,
-1964457.3119821418,
-0.008649710410855153,
7469976.801826446,
289138.60828239186
],
[
8611.927132667146,
-101061.40118311366,
-0.0005649044565028922,
289138.60828239186,
22553.787674885913
]
],
"r2": 0.9953870110664882,
"aic": 165.05269544066414,
"residuals": [
26.345443838349183,
-21.99938218324064,
-46.29339732960375,
-8.64227794140129,
19.421829586540525,
29.549630968883093,
24.013465515519783,
28.682930771336032,
15.02772490670668,
1.6485743632684944,
-3.9651386063545715,
-25.664308049365104,
-44.76310290298295,
-34.28394062261907,
0.48778118632014866,
-9.980013704400562,
20.67306041602842,
14.818649673076834,
22.28889777298525,
11.913218591706368,
-20.057234743302615,
3.5535324003399182,
13.40607340765348,
-0.810907499122095,
-15.371106487934412
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
389.8928200386858,
-2261.4959322844857,
1.160849201320289e-21,
9999.999999998925,
-1352.0856329662956
],
"pcov": [
[
6156.823044178233,
-33252.27481353434,
2.4630778911749366e-05,
274059.80490547826,
-33252.27793739648
],
[
-33252.27481353434,
179692.4260968903,
-0.0001322608492625827,
-1488048.1537350032,
179692.442977825
],
[
2.4630778911749366e-05,
-0.0001322608492625827,
1.0636054355427813e-13,
0.0010396569214256256,
-0.0001322608616888552
],
[
274059.80490547826,
-1488048.1537350032,
0.0010396569214256256,
12945677.83032304,
-1488048.293517177
],
[
-33252.27793739647,
179692.442977825,
-0.00013226086168885518,
-1488048.293517177,
179692.4598587613
]
],
"r2": 0.9928809325338303,
"aic": 175.90021387564582,
"residuals": [
30.23426443934386,
-6.590764558660794,
-26.935049902936044,
9.849728846761536,
33.04240521767042,
37.4780742479611,
26.473854178375404,
26.25502444489939,
8.389208949258318,
-8.527852444110067,
-19.39636784687127,
-44.32801782709976,
-65.09073132371077,
-55.07986889354697,
-19.87500925890936,
-29.23792725126941,
6.032285918053049,
6.068836594635286,
19.64280721603518,
14.987503345937512,
-11.975899462904636,
15.756473196199295,
30.95025035992694,
18.25855380482426,
3.6182180103915016
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
104.81508256831752,
-2165.8905538266586,
8.554973904583018e-06,
2447.447071813258,
1330.9438450452026
],
"pcov": null,
"r2": 0.9953822919774177,
"aic": 165.07825737550002,
"residuals": [
24.793784370250705,
-21.956299068484896,
-45.70075332397141,
-7.864506547122119,
20.054150833022504,
29.981506881119685,
24.25671521535037,
28.76603511670669,
14.981227706103027,
1.500612989080878,
-4.246015814799193,
-26.00731446409759,
-45.119081579187764,
-34.619556970289295,
0.19441563745851909,
-10.217553036720915,
20.598453334382043,
14.899309377392456,
22.49018922890309,
12.189335668706008,
-19.755083480282792,
3.8342600278222108,
13.516931223564825,
-1.0067392302462395,
-15.622268580498485
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
1012.8922380925478,
9.731944171682075e-05,
1.9999999999999987
],
"pcov": [
[
1944.2317515712407,
0.0004618790742173085,
18.090460335658094
],
[
0.00046187907421730846,
7.703679677917041e-10,
1.8735964030636853e-05
],
[
18.090460335658094,
1.8735964030636853e-05,
0.493601662793119
]
],
"r2": 0.9691326128822679,
"aic": 208.57330013728057,
"residuals": [
7.6982803344725435,
3.8069222597146233,
6.616691881475248,
70.43439374004627,
105.19248825866028,
112.70598421512378,
99.98273826681375,
95.27072350117447,
71.29440950288688,
47.343250560219246,
21.232028325050408,
-19.01971028288284,
-54.213501484106416,
-57.25966173542895,
-33.50747422476036,
-52.63511150085628,
-34.542094986556094,
-42.406548033331205,
-29.163474790179293,
-28.2634035416404,
-45.24898050197123,
-4.318322567560017,
43.322148889843106,
67.02142534744985,
57.969322519071625
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
411.19891875511655,
2.2151271864391362e-16,
8.40556189125067e-06,
0.11372964399950936,
897.8995727067377
],
"pcov": [
[
2633.791865405944,
7.471988919640318,
-8.772100469193737e-06,
1.5172663794764751,
0.0004196464466369644
],
[
7.47198891964032,
0.0262567046295579,
-2.895833635462268e-08,
0.004067203997445412,
1.124909724616513e-06
],
[
-8.772100469193737e-06,
-2.895833635462268e-08,
6.989062895628874e-14,
-5.212030033064019e-09,
-1.4415463965279799e-12
],
[
1.5172663794764751,
0.004067203997445412,
-5.212030033064019e-09,
0.0008975562692653799,
2.482466521028456e-07
],
[
0.0004196464466369644,
1.124909724616513e-06,
-1.4415463965279799e-12,
2.482466521028456e-07,
6.866020815687738e-11
]
],
"r2": 0.994182453484099,
"aic": 168.55715216923022,
"residuals": [
3.849126481842518,
-25.199148806843027,
-39.662244284816666,
1.830831029219894,
29.274459320494998,
39.67589582037965,
31.360188183692458,
33.68989557311545,
17.471882999152058,
2.984855522500652,
-5.890294466349133,
-29.00830748977654,
-49.460710115962115,
-41.182973237961676,
-8.456063476577924,
-18.38409648824279,
13.16549324218363,
10.360553697302635,
20.439700428093488,
14.23367063718149,
-15.281187253098551,
8.364150487335792,
17.58710036664297,
1.23879858946475,
-12.993913372025645
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
410.5672604089976,
8.410658668750875e-05,
6.939521858219239e-06,
0.09310649664785006,
977.1097864155912
],
"pcov": null,
"r2": 0.9941791028654723,
"aic": 168.57154678598445,
"residuals": [
5.404447011438833,
-23.837941329091564,
-38.46726193274833,
2.757254328459794,
29.99486930025091,
40.23467592396787,
31.789867760588322,
34.014953601128695,
17.71114949478624,
3.153086450912383,
-5.831154529587252,
-29.026885162603094,
-49.53547081309654,
-41.29862298666575,
-8.601438746084568,
-18.550864092112533,
12.969920374368371,
10.158059489716493,
20.24274778282802,
14.04967719563615,
-15.44768936318394,
8.217938108145972,
17.48592329110329,
1.1850752896310723,
-13.04046039968307
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
96.66173048173147,
-2023.5531775137433,
8.834969903954813e-06,
2262.0793036240216,
1259.339577733444
],
"pcov": [
[
4529.265827624516,
-50067.174195751366,
-0.00024760927033870545,
180082.9625160104,
8027.52611043831
],
[
-50067.174195751366,
557552.4991429443,
0.0028189626187356217,
-1968679.5426939193,
-93594.14651915854
],
[
-0.00024760927033870545,
0.0028189626187356217,
1.5519150981405118e-11,
-0.00906039962083598,
-0.0005455817991746303
],
[
180082.9625160104,
-1968679.5426939193,
-0.00906039962083598,
7835059.459131132,
281945.37148056686
],
[
8027.52611043831,
-93594.14651915854,
-0.0005455817991746303,
281945.3714805668,
20286.041403272833
]
],
"r2": 0.9954127838269458,
"aic": 162.61702041455203,
"residuals": [
25.42509860064274,
-20.60949761412803,
-43.92304478544975,
-9.437651791612325,
17.09789287076933,
28.93390895151242,
22.934680847837853,
27.818666223100877,
14.092958436374488,
1.8972131837476809,
-3.1939753546924976,
-23.616480421404958,
-42.335323017939345,
-33.11487085541057,
-0.07190152715361364,
-10.167513510443655,
19.583103921261568,
14.008094990943846,
21.16095997765501,
12.351552929408626,
-19.170140801643697,
3.2112090588564115,
12.350219466514204,
-0.8617547733068704,
-14.363401396489394
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
372.4397987695559,
-2126.9653381800217,
8.666112461169516e-22,
9999.999999998978,
-1323.9207768208764
],
"pcov": [
[
5455.052269687326,
-29457.528492402205,
2.2540945716702067e-05,
253914.76037261242,
-29457.528128589962
],
[
-29457.528492402205,
159161.24824166353,
-0.00012102136744589453,
-1378455.39993566,
159161.2462759496
],
[
2.2540945716702064e-05,
-0.00012102136744589453,
1.0050829536966324e-13,
0.0009949683783532775,
-0.00012102136595130206
],
[
253914.76037261242,
-1378455.39993566,
0.0009949683783532775,
12542303.61310811,
-1378455.3829104581
],
[
-29457.528128589962,
159161.2462759496,
-0.00012102136595130206,
-1378455.3829104581,
159161.24431023572
]
],
"r2": 0.9931107086200961,
"aic": 172.7843926716642,
"residuals": [
28.41934425791328,
-6.805865679377575,
-26.30733611918481,
7.585693940619194,
29.72136145188574,
36.34522289163783,
25.31494820232524,
25.691759005545237,
8.08039476691124,
-7.380475445430193,
-17.316359669171334,
-40.70834056151557,
-60.94154332935955,
-52.12715947300035,
-18.65610066157228,
-27.70371127294561,
6.367765565079253,
6.260299714242365,
19.03979657121522,
15.463416922102397,
-11.522759866818205,
14.540055575075485,
28.266008379961704,
16.012100474581302,
2.3614843594393733
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
102.95243523277938,
-2091.681766468356,
8.548574965118446e-06,
2556.400210327384,
1267.93106291393
],
"pcov": null,
"r2": 0.9954068522731729,
"aic": 162.64932607619542,
"residuals": [
23.779853471263323,
-20.576915456839515,
-43.29809683908957,
-8.602716838150627,
17.781954344657606,
29.403975916410445,
23.201513092585856,
27.91205310755106,
14.045470860305613,
1.7391136502317295,
-3.4975381592092845,
-23.988553794547784,
-42.72226668057351,
-33.48021027891457,
-0.3916280642893071,
-10.426695262397061,
19.50118936907279,
14.09545454165459,
21.37998020778059,
12.652321067893581,
-18.840849060986557,
3.517234599520407,
12.471094618587586,
-1.0752778092951303,
-14.637251646412778
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
966.3930763618764,
9.800824474969077e-05,
1.9999999999999984
],
"pcov": [
[
1734.1801895854592,
0.00043759256766399843,
16.977517988959782
],
[
0.0004375925676639985,
7.812841257967869e-10,
1.884103951779716e-05
],
[
16.977517988959782,
1.884103951779716e-05,
0.4917884252060335
]
],
"r2": 0.9692780764795939,
"aic": 206.1595998916293,
"residuals": [
7.8305439949035645,
4.015877828478003,
6.518728768572958,
65.93836327303339,
98.82544327027365,
108.13070274513652,
95.2420029123897,
91.14793928813268,
67.55215346569835,
45.250713265515856,
20.574889311059735,
-17.56381075179013,
-51.64135621627992,
-55.31580277361968,
-32.7662441470203,
-51.09497976623163,
-33.22881230494886,
-40.607726092991356,
-27.83986664378199,
-25.80431438757398,
-42.96978863381423,
-4.034630897261422,
41.128499101172224,
63.966811624680645,
55.69513204235807
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
394.51308357662543,
1.9898822602324476e-15,
8.358646780603608e-06,
0.11373518895046851,
860.5275347187554
],
"pcov": [
[
2259.765696573307,
6.732449541992832,
-7.902446137247879e-06,
1.3549931689914136,
0.0003906344566283945
],
[
6.732449541992832,
0.02485042615769477,
-2.7515670905283433e-08,
0.003813277778698788,
1.09933963284283e-06
],
[
-7.902446137247877e-06,
-2.7515670905283433e-08,
6.526243658431188e-14,
-4.875231114326614e-09,
-1.405492883512469e-12
],
[
1.3549931689914136,
0.003813277778698788,
-4.875231114326615e-09,
0.0008343296226122568,
2.4053102719362465e-07
],
[
0.00039063445662839444,
1.0993396328428297e-06,
-1.405492883512469e-12,
2.4053102719362465e-07,
6.934330685955712e-11
]
],
"r2": 0.9945922254758366,
"aic": 164.55205712727167,
"residuals": [
5.177590612637459,
-22.676468508874223,
-36.720621701769005,
0.11304980955469546,
25.47622648026379,
37.760560166869595,
28.419823905844964,
30.832262175201436,
15.599243784148712,
2.265900790773003,
-6.044964631083417,
-28.665339736854037,
-44.548447497724794,
-37.62652837567293,
-6.655244861350184,
-16.004020706674055,
12.945152154254174,
9.97381574591293,
20.002833480733898,
13.817497506660175,
-14.505486134960165,
7.385589383304364,
16.519381490896308,
0.3484124482313291,
-13.18317936507276
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
393.77233744230637,
9.876731815663228e-05,
6.91981360166011e-06,
0.09324802626724073,
935.4605106773806
],
"pcov": null,
"r2": 0.9945881949563239,
"aic": 164.57068317310814,
"residuals": [
6.83281990617229,
-21.231805345865837,
-35.45617356224761,
1.0866390896592293,
26.227090833404645,
38.33705901785686,
28.857399108227355,
31.15757784388336,
15.832802397028559,
2.4237601328358096,
-6.002645861328119,
-28.704496383428477,
-44.645743570940624,
-37.76542866101346,
-6.823711325072509,
-16.193093654296035,
12.73096808215746,
9.75776233181341,
19.79798256864251,
13.631502585000248,
-14.668051605400706,
7.249189549434732,
16.439390035711654,
0.3266287861268893,
-13.196228807780244
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
92.03463842745815,
-1925.7731841669724,
9.064731002174082e-06,
2378.1318502416802,
1194.316256724193
],
"pcov": [
[
4269.932625264166,
-46723.42940502187,
-0.0002389554846413574,
184252.71715631062,
6977.255982086903
],
[
-46723.42940502187,
514472.9756713058,
0.0026848810592524056,
-1996551.334480016,
-80169.8188502252
],
[
-0.0002389554846413574,
0.0026848810592524056,
1.5274279486309028e-11,
-0.009507066122148,
-0.00048379799305919
],
[
184252.71715631062,
-1996551.334480016,
-0.009507066122148,
8676031.075241396,
266349.26294423593
],
[
6977.255982086903,
-80169.8188502252,
-0.00048379799305919,
266349.26294423593,
16243.29439665982
]
],
"r2": 0.9956806597883944,
"aic": 158.9336825508326,
"residuals": [
24.053219793241624,
-18.75785454902575,
-40.647389837486344,
-10.001938450288435,
14.636880193442039,
28.295444732494502,
21.10844395875756,
25.871335595679398,
12.914986224598238,
1.6601819941231497,
-3.257380168093391,
-23.51128131572966,
-37.92631499213519,
-30.26847527300913,
0.8641125461174397,
-8.761665696587897,
18.27449663191578,
12.587734705699404,
19.85855050228315,
11.312310021314715,
-18.72862325413803,
2.2134283255941227,
11.915620603228263,
-0.4965782559557965,
-13.209245279843117
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
356.62127884419334,
-2372.8693316535723,
1.597109841286702e-21,
9999.999999999518,
-932.7744954353421
],
"pcov": [
[
4538.45343197301,
-24553.925334553027,
2.2793931943033192e-05,
223634.6932192711,
-24553.93104552371
],
[
-24553.925334553023,
132916.36176356603,
-0.00012259619329447783,
-1216334.9385879512,
132916.39267815996
],
[
2.279393194303319e-05,
-0.00012259619329447783,
1.239688269738964e-13,
0.0010644078821418282,
-0.00012259622181167665
],
[
223634.69321927114,
-1216334.9385879515,
0.0010644078821418284,
11690869.366495037,
-1216335.2214701215
],
[
-24553.93104552371,
132916.39267816,
-0.00012259622181167668,
-1216335.2214701215,
132916.42359276113
]
],
"r2": 0.9934690511354209,
"aic": 169.2699220369983,
"residuals": [
29.120526957018797,
-4.74546546920044,
-23.695407188526474,
5.734378478960139,
25.92337028297254,
34.523300058188966,
22.533574152345068,
23.039297271780583,
6.445101821681533,
-7.84024843147597,
-17.1896436497658,
-40.08042760183923,
-55.75217297377674,
-48.3085964262217,
-16.61270160945935,
-25.103484574515846,
6.3051134073224375,
5.965917141216664,
18.630754282144494,
15.01280380833839,
-10.840966286958178,
13.411033687947452,
26.943109078441125,
14.771875481246866,
1.8089583041584092
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
100.49514360659674,
-2016.8059357386915,
8.67019374603912e-06,
2804.4536282939976,
1205.0313803306428
],
"pcov": null,
"r2": 0.9956705007844077,
"aic": 158.9924130241195,
"residuals": [
22.027288639838616,
-18.75495779021753,
-39.89423190488037,
-8.955636873727826,
15.508586046951677,
28.902704682455237,
21.459524710218147,
26.00135769342603,
12.86407977914996,
1.4663400474927357,
-3.6407169760842635,
-23.98525015814073,
-38.42145788786888,
-30.73730097068585,
0.453008369351096,
-9.095421584571909,
18.168595053939498,
12.70009463063991,
20.140756382892164,
11.699821422569812,
-18.304663463236693,
2.606899543864529,
12.069417382379584,
-0.7739428507168213,
-13.564253662206852
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
924.859543679422,
9.764526562095364e-05,
1.9999999999999991
],
"pcov": [
[
1529.4006139854976,
0.00040043826265551754,
15.613632491847964
],
[
0.00040043826265551754,
7.388138121651691e-10,
1.7896459712892935e-05
],
[
15.613632491847964,
1.7896459712892935e-05,
0.46941587595920203
]
],
"r2": 0.97071307408666,
"aic": 202.78464605286044,
"residuals": [
8.080061912536518,
4.319721986682831,
6.508174054037321,
60.565017405021514,
91.24120970994903,
102.58449225608416,
88.96967533128822,
85.3286481155491,
63.1208888386642,
42.38711271645769,
19.08940094390738,
-17.79740149873686,
-46.63463985495707,
-51.08634883958621,
-29.807987585845012,
-47.16462562396919,
-31.282499719660336,
-38.651846722343976,
-26.096493539471908,
-24.45221157236358,
-41.015515001001404,
-4.54605810470855,
38.89945749006699,
60.184334070542036,
52.35360634316726
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
374.45467856122514,
1.2306433857496766e-11,
7.934118812492313e-06,
0.10557725715655615,
842.6808262282626
],
"pcov": [
[
1659.6927135320607,
5.8723764925289235,
-6.172134107129982e-06,
1.0031876696539217,
0.00028285776462144463
],
[
5.8723764925289235,
0.026291540556807363,
-2.812937048829368e-08,
0.003329963405993619,
9.389151704924939e-07
],
[
-6.172134107129982e-06,
-2.812937048829368e-08,
5.80874701396194e-14,
-3.7387962749877995e-09,
-1.0541870773774418e-12
],
[
1.0031876696539215,
0.003329963405993619,
-3.738796274987799e-09,
0.0006242066025333047,
1.7600048086715385e-07
],
[
0.00028285776462144463,
9.389151704924939e-07,
-1.0541870773774416e-12,
1.7600048086715385e-07,
4.962486641562857e-11
]
],
"r2": 0.9951249511005873,
"aic": 159.72099422645476,
"residuals": [
7.060897993272761,
-19.523564676972,
-33.637171656766554,
-2.4234307214773025,
21.31683809616686,
36.21698637453994,
24.860891418237998,
27.713889139107096,
13.560494232121755,
0.9317861543178196,
-6.792707671884898,
-28.510494082817672,
-38.532905774226776,
-33.30999696973436,
-4.136204174965201,
-13.341851285640928,
12.852069036965304,
9.171751068221056,
18.949450843546174,
13.403873990480747,
-14.047462884954484,
6.476236303151268,
14.950769260742618,
-0.1975643847832771,
-13.005740755203306
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
374.0571838813903,
0.003024025834068571,
7.041680613285882e-06,
0.09294113139349501,
887.576674021023
],
"pcov": null,
"r2": 0.9951178921813578,
"aic": 159.75716726674193,
"residuals": [
8.705192831202226,
-18.07505567576709,
-32.35778211319018,
-1.4209934790276293,
22.10264274711676,
36.82932556313892,
25.331729377855936,
28.067567088966143,
13.815988320884458,
1.1041882570465305,
-6.752037365421643,
-28.567798979672432,
-38.664046287485974,
-33.497027048735845,
-4.3653485579703215,
-13.602248262509079,
12.548589958091043,
8.86054383477915,
18.654901083878826,
13.144003653886102,
-14.258619458961562,
6.3251729957054295,
14.947110129455837,
-0.02497802509901703,
-12.804619294255872
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
90.80509147715053,
-1858.8563238462552,
9.244419356111917e-06,
2603.945049350845,
1129.7685850866626
],
"pcov": [
[
4261.7708051351265,
-46135.40239745037,
-0.0002425338393053006,
197086.11230664488,
6278.024583361544
],
[
-46135.40239745037,
501880.5215541414,
0.0026847993130219984,
-2116108.6481024395,
-70910.18494712765
],
[
-0.0002425338393053006,
0.0026847993130219984,
1.563344085115891e-11,
-0.010379183554375867,
-0.0004385183131295577
],
[
197086.11230664488,
-2116108.6481024395,
-0.010379183554375867,
9898287.028195929,
257684.5005723777
],
[
6278.024583361544,
-70910.18494712765,
-0.0004385183131295577,
257684.5005723777,
13069.02374019283
]
],
"r2": 0.9960261858937959,
"aic": 154.61089998856772,
"residuals": [
22.77607310552571,
-16.44886882997548,
-37.2600643772123,
-11.286176952104029,
11.960673308002015,
28.187416283284392,
18.817372853525285,
23.802490925122015,
11.690592811769534,
0.905872376765501,
-3.8601101544478524,
-23.579885919908406,
-32.4317314775293,
-26.703775727476,
2.4599771621075206,
-7.142070335300787,
17.02212794699153,
10.69841306627518,
17.91178931940783,
10.273886723944997,
-18.5854096673213,
1.3170568568673389,
11.006785771966634,
0.19003203104159638,
-11.722469379140989
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
341.12447169373525,
-2422.5883657862805,
4.284664587971531e-25,
9999.999999999998,
-739.8078649794281
],
"pcov": [
[
3625.6016206613217,
-19637.348032901187,
2.064265447295243e-05,
188283.8222117622,
-19637.349647849875
],
[
-19637.348032901187,
106421.7473847293,
-0.00011114393104730607,
-1025207.1087790254,
106421.75613666303
],
[
2.0642654472952426e-05,
-0.00011114393104730607,
1.2754626734423042e-13,
0.0010155311068018049,
-0.000111143940188134
],
[
188283.8222117622,
-1025207.1087790254,
0.001015531106801805,
10371450.367738616,
-1025207.1930865585
],
[
-19637.34964784987,
106421.75613666301,
-0.000111143940188134,
-1025207.1930865583,
106421.76488859743
]
],
"r2": 0.99414594988077,
"aic": 164.29608459446683,
"residuals": [
28.3744023483207,
-3.589678917667925,
-22.08590213108141,
2.5273397783237215,
21.666485938583037,
33.297655096517474,
19.5962593963784,
20.764792266131963,
5.411756575606205,
-8.053536394027333,
-16.684654048630136,
-38.630163160046095,
-48.45552461527427,
-42.762640271275586,
-12.940817345665664,
-21.381761167411014,
6.997441456153183,
5.650360031818536,
17.761338467468477,
14.486349178137743,
-10.782703992705365,
11.82648744638459,
24.18394003622484,
12.56466320193499,
0.25811082581526534
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
105.74831605723088,
-2018.719470993292,
8.541780299425258e-06,
3401.9401705468017,
1146.8729389995262
],
"pcov": null,
"r2": 0.9960008034607509,
"aic": 154.77007774414952,
"residuals": [
19.741190633477572,
-16.585509425111695,
-36.22348213990699,
-9.696805891115446,
13.341845177918913,
29.186272717839074,
19.426583223029297,
24.06584450565572,
11.665052697819306,
0.6481148192669934,
-4.433582266000599,
-24.31256521686703,
-33.21126128334697,
-27.452011916880565,
1.7955831537416316,
-7.689086444707868,
16.831202205119325,
10.855495480865784,
18.343428355200786,
10.878718069328329,
-17.916947791360712,
1.941910644998643,
11.256692721836998,
-0.24444128523521158,
-12.280603144793304
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
882.6288731188237,
9.813332504463086e-05,
1.9999999999999993
],
"pcov": [
[
1305.2974832177606,
0.0003614958736151376,
14.001180455242448
],
[
0.0003614958736151376,
7.093710722233243e-10,
1.7080641463342705e-05
],
[
14.001180455242448,
1.7080641463342705e-05,
0.44509282325728733
]
],
"r2": 0.9723182818710789,
"aic": 199.13704584911517,
"residuals": [
7.850665092468164,
4.657745421129967,
6.321805574614379,
54.3426434988296,
83.37360370855332,
97.51669177823847,
82.17593407603371,
79.31582907390333,
58.54928561700396,
38.886476081001604,
16.88837756095353,
-18.43520578880924,
-40.81794667452505,
-46.44699454571867,
-26.517700586734577,
-43.35481564895588,
-29.582727094855045,
-37.388862474596976,
-25.11875091004356,
-23.111394004335125,
-39.267077278817624,
-4.769896751836768,
36.528223545158085,
57.14848007271951,
49.78008567206655
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
352.0624023067762,
2.5641398583737294e-12,
7.994595348726894e-06,
0.10456730970166184,
793.5512201774537
],
"pcov": [
[
1291.1765609806948,
4.837783162984148,
-4.994979919991657e-06,
0.8283844399800655,
0.0002460429781519097
],
[
4.837783162984149,
0.02298038223059871,
-2.4203459099638798e-08,
0.0029119875565565795,
8.649056591252251e-07
],
[
-4.994979919991658e-06,
-2.4203459099638798e-08,
5.10626100957798e-14,
-3.221397802015652e-09,
-9.568048890862444e-13
],
[
0.8283844399800655,
0.002911987556556579,
-3.2213978020156516e-09,
0.0005472158608262049,
1.625315360939886e-07
],
[
0.0002460429781519097,
8.649056591252249e-07,
-9.568048890862444e-13,
1.6253153609398863e-07,
4.8274368701990336e-11
]
],
"r2": 0.9956222610918091,
"aic": 154.2294599166757,
"residuals": [
8.991368397424935,
-15.98470419008413,
-29.737777136070235,
-5.668208896593114,
16.614514528889117,
34.85657746623565,
20.640368858310012,
24.20346360130395,
10.988308073573307,
-0.41270800694235277,
-7.56060165612007,
-28.44653420976772,
-31.70774822573111,
-28.392887046625788,
-1.846858973194628,
-11.031111615295515,
13.256152821646083,
8.842277372802982,
18.527545486793656,
12.811938712545384,
-13.15330376147449,
5.587612153503073,
13.436788682638053,
-1.424659107926118,
-13.384218829853921
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
352.080619791617,
1.458902671890332e-09,
6.9439778013960025e-06,
0.09083797469568557,
843.1566173259102
],
"pcov": null,
"r2": 0.9956222608377489,
"aic": 154.22946136754013,
"residuals": [
8.983703486975742,
-15.990275675113025,
-29.741618690808536,
-5.669406191680764,
16.615183056240312,
34.85857628325982,
20.643317425572377,
24.207084407600746,
10.992394422411849,
-0.40831276528763283,
-7.555923217767258,
-28.441871877851327,
-31.70329058408788,
-28.388755411385432,
-1.8431321159595768,
-11.027840536034773,
13.258169290910928,
8.842985740638369,
18.526959671166196,
12.810100651474954,
-13.156341331418162,
5.583430699944529,
13.430481436633045,
-1.4328957040941077,
-13.39272952949625
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
87.49580845534976,
-1761.6238329277342,
9.59615899895704e-06,
2878.8184503361513,
1051.2208439210397
],
"pcov": [
[
4257.848632150666,
-45453.45174737401,
-0.00024758543957285385,
217413.50025246185,
5416.197613379469
],
[
-45453.45174737402,
486931.468762968,
0.0026905045505543003,
-2306313.2744954024,
-59901.91654092016
],
[
-0.00024758543957285385,
0.0026905045505543,
1.616993828100259e-11,
-0.011744386007378016,
-0.00038319156801819895
],
[
217413.50025246185,
-2306313.274495402,
-0.011744386007378016,
11995840.75702657,
246253.30052725037
],
[
5416.197613379469,
-59901.91654092015,
-0.00038319156801819895,
246253.30052725037,
9687.004076508421
]
],
"r2": 0.9963425143796738,
"aic": 149.73554897311803,
"residuals": [
21.099376971156516,
-13.945460957623254,
-33.05370936424504,
-13.05865586663083,
9.04497740993338,
28.582784632941184,
16.167286042339015,
21.608385166560424,
10.154470573379626,
0.3135276492135972,
-4.411519906643889,
-23.762866364005504,
-26.235480500983726,
-22.71888303728167,
3.5855428116460644,
-6.162900406938547,
15.904150222233511,
8.902861392769523,
16.24787568015904,
8.774969873873147,
-18.193940857718758,
0.3686846708368421,
10.350489170917626,
0.690011458979825,
-10.251977334843673
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
322.6331875509856,
-2464.069215351539,
1.277446606828963e-21,
9999.999999999915,
-527.8622633264042
],
"pcov": [
[
2806.3590702716892,
-15224.835823952164,
1.8788248367097417e-05,
155883.90567785373,
-15224.83576570645
],
[
-15224.835823952164,
82643.18403194303,
-0.00010131550090785389,
-850153.8650210106,
82643.18371581359
],
[
1.8788248367097417e-05,
-0.00010131550090785389,
1.369370063159532e-13,
0.0009881433555796897,
-0.0001013155005197391
],
[
155883.90567785373,
-850153.8650210106,
0.00098814335557969,
9181698.775284654,
-850153.8617723016
],
[
-15224.83576570645,
82643.18371581359,
-0.0001013155005197391,
-850153.8617723015,
82643.18339968415
]
],
"r2": 0.9947434202761855,
"aic": 158.803165230195,
"residuals": [
27.982340289143167,
-1.806690881444183,
-19.475693604820435,
-1.294129332257171,
16.892217198264234,
32.229010120287285,
15.931905081313516,
18.00296702748642,
3.727206186434387,
-8.411741890646454,
-16.35517624301633,
-37.43508013535461,
-40.51458881858366,
-36.77709359543428,
-9.65156467395741,
-18.15376385143668,
8.077999656027714,
5.736513620364349,
17.492012982917004,
13.789575558260367,
-10.241797669189054,
10.34647619104635,
21.63367156978802,
9.895559483043598,
-1.620134267782305
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
107.25510469477484,
-1971.2066082030365,
8.644654437450606e-06,
4020.6387247223047,
1070.9435205646878
],
"pcov": null,
"r2": 0.9963064060058228,
"aic": 149.98115006949592,
"residuals": [
17.74428004903075,
-14.217830665525298,
-31.98342081146268,
-11.268796308926767,
10.653904707431934,
29.777760158115598,
16.92004895163825,
21.958833722030704,
10.163202708160156,
0.04395186019166886,
-5.065869589486738,
-24.61693639961527,
-27.154008809087372,
-23.60660875964959,
2.7933491240092962,
-6.817805892902356,
15.672455387070386,
9.088412909630847,
16.763587977898396,
9.498892642484634,
-17.394101507898313,
1.1149281460317297,
10.642916782245038,
0.1580356978073496,
-10.932575644468216
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
832.8331288895583,
9.838448847692633e-05,
1.9999999999999996
],
"pcov": [
[
1074.2841215628382,
0.0003168245294068469,
12.229044841739682
],
[
0.0003168245294068469,
6.639352800920985e-10,
1.593763887108192e-05
],
[
12.229044841739682,
1.593763887108192e-05,
0.41391811686509145
]
],
"r2": 0.9743520773778576,
"aic": 194.42771538813062,
"residuals": [
7.612334251403716,
5.026173608151259,
6.406072994935302,
46.68577322755119,
74.19901316452815,
91.8984336104332,
74.05089725931427,
72.32169668506293,
52.94311551839024,
34.96515685338602,
14.435557725696697,
-19.230944656805832,
-34.11421639230326,
-41.007618450072414,
-23.15835535917313,
-39.52019757658525,
-26.90080827913539,
-35.15774606472473,
-23.07421533204024,
-21.622055787818113,
-36.89515662245685,
-4.943461386774516,
33.904021441202076,
52.790126919580985,
45.960826486791916
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
63.1251838711752,
102943.37239765462,
1.0594102663817038e-10,
2.762465296395032e-07,
917.3433006388326
],
"pcov": [
[
4.19916271411842,
0.002690564216421503,
-1.2086102506905439e-11,
6.45492054516461e-08,
51.66456577215974
],
[
0.0026905642164215034,
4.483216711084387e-06,
-2.7981807980008284e-14,
-1.7689859444343323e-10,
0.08975218163859953
],
[
-1.2086102506905439e-11,
-2.798180798000828e-14,
1.8706580342158847e-22,
1.386468902597999e-18,
-5.641902039147864e-10
],
[
6.45492054516461e-08,
-1.7689859444343323e-10,
1.386468902597999e-18,
1.9256208497297097e-14,
-3.6867204090132815e-06
],
[
51.66456577215974,
0.08975218163859953,
-5.641902039147864e-10,
-3.6867204090132815e-06,
1798.6740917486295
]
],
"r2": 0.9961352534198966,
"aic": 145.72543580747302,
"residuals": [
16.94978371572813,
-11.855242759709654,
-26.59455278912958,
-14.693398146932395,
5.395061466933953,
33.65256052470136,
14.071935136649358,
19.241507754926943,
8.964673141228445,
-0.1111547301355813,
-4.263095391716661,
-23.73711741112652,
-20.880943090950268,
-21.271335738936727,
-0.16275628595246872,
-7.567772223913494,
12.51735003555791,
8.238075014096694,
17.217200147492235,
10.28328231526109,
-14.218851897398281,
1.4952232683867805,
8.579728472537226,
-0.9166688293051948,
-10.19264738363836
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
88.57570682668641,
2757.14705969286,
3.428164397817194e-09,
1.4187699416358893e-05,
943.1287360985383
],
"pcov": null,
"r2": 0.9960562306988602,
"aic": 146.23145654258596,
"residuals": [
15.428415664379486,
-10.831413878215358,
-24.706816637955967,
-12.793414218569524,
6.660394324598769,
34.2178118399662,
14.021891329530263,
18.69470346156868,
8.037708029717578,
-1.3143832809261085,
-5.7665857650390535,
-25.292517448538433,
-22.322590560607523,
-22.49342007040468,
-1.1023600979341381,
-8.192745275524544,
12.689472102966647,
9.081052413107159,
18.52151217036885,
11.815393625818501,
-12.687203387558384,
2.8175989752843407,
8.961619959866198,
-1.9911879881337882,
-11.517715819624414
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
58.85871861570114,
-1383.177972192056,
1.1078446898399676e-05,
2453.198459828754,
914.439767470941
],
"pcov": [
[
2652.9478871991596,
-27667.80304196804,
-0.0001738814865262138,
184629.41505910942,
2882.5827947613466
],
[
-27667.80304196804,
289483.2089438556,
0.0018458046096075404,
-1916609.8647177967,
-31184.36156873527
],
[
-0.0001738814865262138,
0.0018458046096075406,
1.3084437505158149e-11,
-0.011157279186212043,
-0.0002382872425638813
],
[
184629.41505910942,
-1916609.8647177967,
-0.011157279186212043,
13985553.80529361,
176831.30222683024
],
[
2882.5827947613466,
-31184.361568735272,
-0.00023828724256388128,
176831.30222683024,
4689.823093401548
]
],
"r2": 0.9961363646774569,
"aic": 145.7182463493046,
"residuals": [
17.043792961684858,
-12.089954444227942,
-26.90098791483024,
-14.935963779639792,
5.268672110914508,
33.631224481251934,
14.133824407310044,
19.36535042782964,
9.132202596997331,
0.08501595645759608,
-4.043769996426818,
-23.52611965475137,
-20.697772961668647,
-21.12740572259031,
-0.06396223535904255,
-7.516211053828954,
12.456949104669377,
8.08991066746944,
17.0133339295337,
10.056710575284797,
-14.437388348057311,
1.3118274764506168,
8.531554609307705,
-0.7688943174871383,
-10.011940036355782
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
289.4782644820064,
-3612.037662988196,
1.4769102704284608e-19,
9999.999999999804,
921.6037676276975
],
"pcov": [
[
454.30753454926815,
-2128.88416082066,
-4.012154358662668e-05,
3873.07719146464,
-2128.8841390619723
],
[
-2128.8841608206594,
10565.881227325479,
0.00014199413718725084,
-66902.04045958715,
10565.881119347678
],
[
-4.012154358662667e-05,
0.0001419941371872508,
7.213818315419448e-12,
0.003419603539426123,
0.00014199413573494815
],
[
3873.07719146464,
-66902.04045958715,
0.003419603539426123,
4198174.946561928,
-66902.03977681279
],
[
-2128.8841390619723,
10565.881119347678,
0.00014199413573494818,
-66902.03977681279,
10565.881011369876
]
],
"r2": 0.9934044768810373,
"aic": 159.08781059658608,
"residuals": [
31.947144136281963,
5.3032702272250845,
-10.208503786471738,
-2.932135921950362,
11.658308963506101,
34.8126115517224,
10.854459946470115,
12.41528126217554,
-0.7530746301838462,
-12.082832643092729,
-19.157242555910898,
-39.916717775662505,
-37.16499439601387,
-36.820177303931246,
-14.390979971079616,
-20.080175887176893,
5.167147934607215,
6.2699814058188394,
20.12091670875634,
17.191486691992736,
-4.327989986501734,
13.305356353618436,
21.160574967882326,
8.803068741588277,
-1.1747838035751101
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
83.98554915793513,
-1644.7151548346962,
9.820365243738272e-06,
4505.600276247143,
933.4639222408694
],
"pcov": null,
"r2": 0.9960444317200159,
"aic": 146.30613994165435,
"residuals": [
12.3809853180843,
-12.51037982065509,
-25.493896319781015,
-12.543054689152314,
7.43511910786799,
35.2566926716795,
15.177782213665182,
19.878666035763217,
9.193794750077132,
-0.2220784136684415,
-4.862558258462741,
-24.61326781582295,
-21.875452749478313,
-22.270579144629778,
-1.0879135962845794,
-8.366537804492111,
12.143669220937284,
8.304012721111349,
17.64128120340115,
10.942415085055245,
-13.460442212866838,
2.2198894928684467,
8.884591206432788,
-1.3993451408132387,
-10.817454023613891
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
751.5046575276293,
9.408765616870675e-05,
1.9999999999999998
],
"pcov": [
[
874.3291500055249,
0.000262342150048844,
10.757540763459314
],
[
0.000262342150048844,
5.32944132700893e-10,
1.3501434910735489e-05
],
[
10.757540763459314,
1.3501434910735489e-05,
0.3719867588526794
]
],
"r2": 0.9769050191899743,
"aic": 186.41841583168042,
"residuals": [
7.706594944000161,
5.7095279940737225,
7.8470532963507935,
36.42452099898484,
60.876938781232056,
87.4717127632869,
63.24101165749485,
62.32825699111862,
45.363548193621426,
29.4478007469491,
12.072689268296983,
-19.32320548526394,
-26.77240487624448,
-35.79319352346363,
-21.691257193919967,
-34.58037220589188,
-22.369731735372625,
-27.792397080303658,
-15.03788125440974,
-14.764516385000434,
-29.793134580363017,
-3.228215935181993,
27.215289631062888,
40.7176585376659,
34.743085052061474
]
}
},
{
"original": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
155.5104709507258,
3.9090998081686382e-22,
707631801543287.1,
4.5558709358760197e+18,
-6674.987739225445
],
"pcov": [
[
1.8046124607315503e-90,
-1.0193389971906486e-68,
1.378559349638399e-105,
2.9185246848101223e-109,
4.1018219477299156e-92
],
[
-1.0193389971906486e-68,
5.757756935649375e-47,
-7.786820359527791e-84,
-1.6485345691808632e-87,
-2.316922420650171e-70
],
[
1.3785593496383993e-105,
-7.786820359527793e-84,
1.0530936263761889e-120,
2.2294867063948315e-124,
3.133417905306279e-107
],
[
2.9185246848101223e-109,
-1.6485345691808632e-87,
2.229486706394831e-124,
4.720008600845581e-128,
6.633706054702074e-111
],
[
4.1018219477299156e-92,
-2.316922420650171e-70,
3.133417905306279e-107,
6.633706054702074e-111,
9.323299964391455e-94
]
],
"r2": 0.9791421987578593,
"aic": 130.2026021828329,
"residuals": [
13.314073175903104,
-6.101514051918457,
-14.935774105474593,
-10.973439251520176,
6.454700120001689,
3.7354504255999927,
2.8303431792946867,
4.606365401715266,
9.68017195153152,
10.956469621437464,
2.441506586302239,
9.903516027963633,
2.2996530563832493,
-22.219084983063112,
-26.62220619273012,
-11.766271489289466,
1.5522265426297963,
3.0431957520277138,
16.827296492547248,
8.590416088370148,
11.491594622116281,
-1.166483378677185,
-15.601379195330992,
2.9220094658085145,
-1.3076390220739995
]
},
"original_regularized": {
"param_names": [
"A",
"\u03bb",
"\u03b3",
"t0",
"K"
],
"popt": [
154.71120481929174,
2.908793069866633e-06,
0.4174778640040853,
2718.0892979788237,
-1219.3087062362222
],
"pcov": null,
"r2": 0.9789823950552448,
"aic": 130.39341164944096,
"residuals": [
13.162374780703203,
-6.122886765358771,
-14.878479360843585,
-10.847672886563942,
6.586523544880265,
3.844441473805091,
2.9038130897472456,
4.640039823682855,
9.67432520640591,
10.913863783168836,
2.3383161839483364,
9.75949896282441,
2.1341822227136618,
-22.388645580014554,
-26.78103325958091,
-11.902166465148639,
1.510899720831958,
3.122943542819712,
17.02721680543823,
8.888011494275588,
11.847224646232235,
-0.8062166711201826,
-15.43462813421229,
2.5717301444649365,
-1.766434771629747
]
},
"reparam": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
155.81404399766677,
417431.95276568894,
4.6702724976070945e-09,
6420.089065835345,
-418803.73379169015
],
"pcov": [
[
607.6014147654702,
-3170.463502314792,
1.7311468992216885e-08,
46530.843616494814,
-3170.5084529259207
],
[
-3170.463502314792,
16557.042585942385,
-8.97102640473543e-08,
-244576.83623387123,
16557.27872213291
],
[
1.7311468992216885e-08,
-8.97102640473543e-08,
5.309969336443762e-19,
1.2490356105194006e-06,
-8.971147642391136e-08
],
[
46530.843616494814,
-244576.8362338713,
1.2490356105194006e-06,
3865770.9313480556,
-244580.547216323
],
[
-3170.5084529259207,
16557.278722132913,
-8.971147642391136e-08,
-244580.547216323,
16557.514861887517
]
],
"r2": 0.9791827998509228,
"aic": 130.15389059968552,
"residuals": [
13.356618851481471,
-6.0966187243466265,
-14.95407423976576,
-11.012981402454898,
6.411891515541356,
3.697961327212397,
2.802161607891321,
4.589053136587609,
9.673952651617583,
10.960814785445109,
2.4639140084618703,
9.938962029467802,
2.343015995924361,
-22.17251200292958,
-26.576526466407813,
-11.724932973796967,
1.5717924123164266,
3.032462514936924,
16.785171805124264,
8.521807633223943,
11.406286165118217,
-1.2546967674861662,
-15.64117263222579,
3.0197275157552212,
-1.1805941963102669
]
},
"reparam_hard_bounds": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
155.3669175553453,
8631.9656806455,
1.8813926774686874e-07,
6428.181515869074,
-9999.999796226362
],
"pcov": [
[
603.9971552729282,
-3117.9328809125227,
6.300889864140674e-07,
46656.01285509776,
-3190.816725300823
],
[
-3117.932880912523,
16106.209051866676,
-3.2298397036121915e-06,
-242390.3017037499,
16484.88386992527
],
[
6.300889864140674e-07,
-3.229839703612191e-06,
7.200918559159772e-16,
4.553646215852389e-05,
-3.3009260509809475e-06
],
[
46656.01285509777,
-242390.3017037499,
4.553646215852389e-05,
3908870.555578941,
-248501.45221983222
],
[
-3190.8167253008232,
16484.88386992527,
-3.3009260509809475e-06,
-248501.45221983222,
16873.11296821606
]
],
"r2": 0.9791556929771863,
"aic": 130.18642288116285,
"residuals": [
13.334034755089306,
-6.099748798624205,
-14.9453517749007,
-10.993865565635133,
6.431862484823796,
3.7142668625128863,
2.8127666752097866,
4.5932441454588115,
9.671747201857215,
10.952640627314395,
2.4458817323320545,
9.914316049333138,
2.314993459322068,
-22.200968717117576,
-26.602874193673415,
-11.747054092445978,
1.5668165307870368,
3.0494741401107603,
16.824214889202267,
8.579038478022994,
11.474688400119703,
-1.1847603306723613,
-15.605512624802941,
2.9602344559934863,
-1.2602851846568228
]
},
"reparam_regularized": {
"param_names": [
"A_1",
"A_2",
"\u03b2",
"\u03c40",
"K"
],
"popt": [
157.74140782135245,
4242.721073888098,
3.2893938591536577e-07,
6664.704331562789,
-5636.50862428245
],
"pcov": null,
"r2": 0.9791205178138279,
"aic": 130.22857529871473,
"residuals": [
12.567064478722386,
-6.479589482708434,
-15.066373545166243,
-10.82021095178061,
6.737737397319506,
4.06929093607323,
3.1719746914905045,
4.931677567297811,
9.97563768584132,
11.214768671615275,
2.6171344781814696,
9.996898515843895,
2.3175269030698473,
-22.267660860931755,
-26.72758612742473,
-11.918996205386065,
1.3188071169570321,
2.7746100780641427,
16.559603335485917,
8.351997544585174,
11.304792886134237,
-1.2840819789344096,
-15.542202408358207,
3.191510945150185,
-1.0047014319779919
]
},
"step2": {
"param_names": [
"K",
"omega_n",
"zeta"
],
"popt": [
229.09810602496282,
0.0003131462263174751,
1.999999999999983
],
"pcov": [
[
26.804999632636612,
0.00014863675361253035,
1.504188123210352
],
[
0.00014863675361253035,
2.034550201961897e-08,
0.00013645477358389789
],
[
1.5041881232103518,
0.00013645477358389786,
0.9412706297602288
]
],
"r2": 0.9624588398519246,
"aic": 140.89534959381842,
"residuals": [
7.6264958381652574,
1.1214779008550586,
-4.463036021689192,
-1.9222292158663805,
11.8372463271904,
5.44031936590784,
1.3824082510278686,
0.6873772411690027,
3.9877400406112713,
4.14023352887375,
-4.98610002186436,
3.4863423993841707,
-2.0838671089807406,
-24.01436223521293,
-25.617105482845602,
-7.987315878551158,
11.244460717328508,
16.441421273066112,
31.556762860320703,
22.482943979016483,
22.680489461572847,
5.744365740852999,
-21.007797008775952,
-18.623664573719452,
-25.536971517562648
]
}
}
]