Datasets:

Aimpoint-Digital
/

pythia-massive-activations

	[
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	381.8672620944392,
	1.4481935351100788,
	2.1096734113593983e-05,
	0.9053265806760024,
	8.815451070802894
	],
	"pcov": [
	[
	503190.2195212294,
	859.8975084102434,
	-0.010504384809285765,
	40.32589166481999,
	515.3431991934106
	],
	[
	859.8975084102432,
	1.4700549447640132,
	-1.794670138691554e-05,
	0.06875895823830541,
	0.8933695535292555
	],
	[
	-0.010504384809285765,
	-1.7946701386915545e-05,
	2.1948451673290578e-10,
	-8.440454950475694e-07,
	-1.0626051680934192e-05
	],
	[
	40.32589166481999,
	0.06875895823830543,
	-8.440454950475696e-07,
	0.0032902234741961772,
	0.03739799944099003
	],
	[
	515.3431991934106,
	0.8933695535292555,
	-1.0626051680934192e-05,
	0.03739799944099003,
	0.8424042356052603
	]
	],
	"r2": 0.9927259623467942,
	"aic": -11.740457147013103,
	"residuals": [
	2.028310707337887,
	-0.2442252504425717,
	-1.3333401220682912,
	-1.4998839044800816,
	-0.6272916938708732,
	-0.12443347557324458,
	0.6631325463932427,
	0.5654497738958142,
	0.4377662539681104,
	0.5830637572424848,
	0.5121943329301928,
	0.29824897478243884,
	-0.2024079530720364,
	-0.2803562485125788,
	-0.6114168543841494,
	-0.32887663658390665,
	-0.5312047125778214,
	-0.25517181489859553,
	0.3454731239567508,
	0.2994759446208839,
	0.6354680682418525,
	0.2603120776356711,
	0.1455405270051653,
	-0.09319287833159429,
	-0.10269832856372929,
	-0.25000748211871837,
	-0.2899211961839203
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	382.0375470840773,
	1.448485265853032,
	2.109319799350476e-05,
	0.9053399248473889,
	8.81564634041397
	],
	"pcov": null,
	"r2": 0.9927259623077417,
	"aic": -11.740457002056907,
	"residuals": [
	2.028260598322994,
	-0.24424645129985834,
	-1.3333395328861135,
	-1.4998564545281132,
	-0.627253541659087,
	-0.12439518036369179,
	0.6631644780354122,
	0.5654717363898669,
	0.43777668512008105,
	0.5830625007603096,
	0.5121726196222482,
	0.29821340512731,
	-0.2024500081681957,
	-0.28039815929405876,
	-0.6114533700860925,
	-0.32890404568677667,
	-0.5312021391407526,
	-0.255141210516701,
	0.3455216712188438,
	0.2995302626288989,
	0.6355172050107285,
	0.26034767198568076,
	0.14555705229471982,
	-0.09319842956689683,
	-0.10272697343532045,
	-0.25005880139334735,
	-0.28997908331808375
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	102.92594477387077,
	-1108.1437421765336,
	3.055229845943861e-05,
	42914.31767533421,
	8.815474467201003
	],
	"pcov": [
	[
	4869.6836838107565,
	-57469.943270736265,
	0.00028730276649833027,
	2290041.5708631296,
	50.08368289584054
	],
	[
	-57469.94327073626,
	678242.3455513177,
	-0.0033896723854635966,
	-27029092.409127858,
	-591.0653379676422
	],
	[
	0.0002873027664983302,
	-0.0033896723854635966,
	1.797743891758323e-11,
	0.1344229682554614,
	3.4586431998559754e-06
	],
	[
	2290041.5708631296,
	-27029092.409127858,
	0.1344229682554614,
	1078417979.2572498,
	23388.571651140464
	],
	[
	50.08368289584054,
	-591.0653379676422,
	3.4586431998559763e-06,
	23388.571651140464,
	0.8424005198174749
	]
	],
	"r2": 0.9927259623441984,
	"aic": -11.74045713737791,
	"residuals": [
	2.028298632322329,
	-0.24423205414461613,
	-1.3333428585053984,
	-1.4998813657570649,
	-0.6272866905507293,
	-0.12442789654497766,
	0.6631374865062298,
	0.5654533495306282,
	0.43776808988531357,
	0.5830637246767552,
	0.5121907951282552,
	0.29824278084282696,
	-0.20241572905018046,
	-0.2803645755956303,
	-0.6114248686463633,
	-0.32888368419286707,
	-0.5312078030961516,
	-0.2551706515540708,
	0.34547746239313426,
	0.299481904285404,
	0.6354741440946228,
	0.2603170549571736,
	0.14554355054680457,
	-0.09319232575185765,
	-0.10270048637804052,
	-0.2500123820070108,
	-0.2899269020052735
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	32.99992317089618,
	-312.2086169362446,
	2.0846574050808438e-05,
	9999.999999999998,
	5.842761777871161
	],
	"pcov": [
	[
	64.01481753789818,
	-694.4250344049694,
	2.2127022391630457e-05,
	29415.030855972986,
	10.888113494720647
	],
	[
	-694.4250344049694,
	7535.1850289346785,
	-0.000240979781064813,
	-319434.90646786714,
	-119.38099501138224
	],
	[
	2.212702239163046e-05,
	-0.00024097978106481303,
	9.363096585578627e-12,
	0.009903117589751865,
	5.316385613975071e-06
	],
	[
	29415.030855972986,
	-319434.90646786714,
	0.009903117589751865,
	13744062.434086984,
	4855.498748234224
	],
	[
	10.888113494720647,
	-119.38099501138224,
	5.316385613975071e-06,
	4855.498748234224,
	3.4236654096637364
	]
	],
	"r2": 0.9871952501307117,
	"aic": 3.5281687450207277,
	"residuals": [
	3.0323790764658582,
	0.11650465370944829,
	-1.4205325409120388,
	-2.0775915215963217,
	-1.3539049801447423,
	-0.8091211681317407,
	0.12060577209658518,
	0.21005726176476003,
	0.28079083866493093,
	0.6156279849172606,
	0.8566675662406062,
	0.8419253990874793,
	0.43125491344060407,
	0.35269093241196714,
	-0.047009147656414285,
	0.12050576932375989,
	-0.45793015552915506,
	-0.5391834793936994,
	-0.18348241636757479,
	-0.3361464935348799,
	0.021886038344089087,
	-0.22736146301102522,
	-0.14107556412399092,
	-0.13043778784149573,
	0.13524951029539523,
	0.27144820437178296,
	0.3161827811380995
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	61.51874784657269,
	-628.623663729078,
	2.6850626060421934e-05,
	23407.52980676992,
	8.003754191445136
	],
	"pcov": null,
	"r2": 0.9922113004563684,
	"aic": -9.894672784807973,
	"residuals": [
	2.2983378033859942,
	-0.12886174286121843,
	-1.3330126631005248,
	-1.6390895089441617,
	-0.8212367410098516,
	-0.31965265664830156,
	0.49849617940631674,
	0.4484408555346846,
	0.3754026283639078,
	0.5757201613410601,
	0.6007146236059917,
	0.4522638535913508,
	-0.015823492449793974,
	-0.09028673448375457,
	-0.4406673053464303,
	-0.19354698099648715,
	-0.5167751163470555,
	-0.35712053677377753,
	0.1652302294874488,
	0.08826393729703597,
	0.4367425581032478,
	0.10811006532505552,
	0.06327544074430591,
	-0.09176360413208329,
	-0.011634147410759965,
	-0.06918442374708533,
	-0.0827866682048981
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	19.12827537002062,
	0.00017108723360528792,
	0.39678618019258716
	],
	"pcov": [
	[
	1.3878324097186356,
	4.29433170105235e-06,
	0.07504667548531574
	],
	[
	4.29433170105235e-06,
	6.093778605280551e-10,
	2.2517084627464435e-06
	],
	[
	0.07504667548531574,
	2.2517084627464435e-06,
	0.022042674435748456
	]
	],
	"r2": 0.6377972437492876,
	"aic": 89.77264392257571,
	"residuals": [
	0.6070485711097696,
	0.6750384935276728,
	1.2474863751900132,
	2.7456497030990983,
	3.685795703752138,
	3.329972658251391,
	2.889825913571279,
	1.6156224602274811,
	0.6412084972543681,
	0.41667609516259674,
	1.0965838067501288,
	3.0417163752689227,
	5.047570692605703,
	6.902693374882517,
	7.460268559114084,
	7.578534211755592,
	4.470109156299014,
	1.8662608405582617,
	0.48578457889379223,
	-1.4174418178918877,
	-2.8727433796404185,
	-4.722688837091972,
	-5.987897201015436,
	-7.151126202642768,
	-7.9048508086680975,
	-8.63513241731805,
	-8.82263877013548
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	100.39536444240493,
	4.721899494080392e-05,
	0.027660378765449967,
	671.2163476960477,
	-634.7434124323161
	],
	"pcov": [
	[
	641.5751780971167,
	0.03712358992044811,
	-19.347834076801867,
	-463746.4076579274,
	65083.8411774246
	],
	[
	0.03712358992044811,
	3.0140998751332808e-06,
	-0.0015696049519543609,
	-37.73731747793228,
	5.3877718846151454
	],
	[
	-19.347834076801867,
	-0.0015696049519543607,
	0.8173797657114938,
	19651.77263809309,
	-2805.5966343314717
	],
	[
	-463746.4076579275,
	-37.73731747793227,
	19651.77263809309,
	472487155.23096925,
	-67463583.45890363
	],
	[
	65083.8411774246,
	5.387771884615145,
	-2805.5966343314717,
	-67463583.45890363,
	9639589.201661851
	]
	],
	"r2": 0.9940038803239184,
	"aic": 35.1443316280725,
	"residuals": [
	2.5309696295586264,
	-0.25709500966365795,
	-1.578616794949312,
	-2.330026359825979,
	-1.0899012380781414,
	-0.15600988073470035,
	0.4502124444977653,
	0.7680316940806051,
	0.9401139883318592,
	1.861693658486729,
	1.8709176626975932,
	0.1537081229408841,
	0.49741202735685874,
	-2.111051746002886,
	-1.0411188912514717,
	-1.5058843228166552,
	-2.2035854540666833,
	0.08442538945632805,
	2.498867620000283,
	1.1726204305446117,
	1.5693985574471299,
	1.3050582209370987,
	-1.3367973010126661,
	-2.3668031672935967,
	-2.745643977771806,
	1.6816684598534266,
	1.3371544532855069
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	101.69444184486352,
	0.0002653011285690146,
	0.0060715136451573,
	149.96873310016417,
	-491.27907063093585
	],
	"pcov": null,
	"r2": 0.9940026245740365,
	"aic": 35.14998556742002,
	"residuals": [
	2.5045870257393403,
	-0.2713747191182847,
	-1.5832440204935097,
	-2.321212381140981,
	-1.0735455938100245,
	-0.13628789830880805,
	0.47037382949304174,
	0.7866192395435974,
	0.9557885328424618,
	1.8736159533949603,
	1.8742087222134387,
	0.14836422550581574,
	0.4844830510292013,
	-2.129993118750349,
	-1.0642932615214704,
	-1.5314954520608808,
	-2.2282219006126525,
	0.06839823088751018,
	2.4956145399070238,
	1.182977533262033,
	1.5912513212012982,
	1.3337599029603098,
	-1.308033680067183,
	-2.3465586993746683,
	-2.743995585497828,
	1.6534025652701985,
	1.2975489425555224
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	97.23785767783579,
	-337.23256149293877,
	1.2868660300055435e-06,
	24240.121235919516,
	-646.1072029849801
	],
	"pcov": [
	[
	213.88455309824653,
	-24032.418627121813,
	3.7167471735014914e-05,
	100237.30527434679,
	21481.659992252098
	],
	[
	-24032.41862712181,
	10911678.394229168,
	-0.017632773839644643,
	-24256973.979459517,
	-10573313.777160592
	],
	[
	3.7167471735014914e-05,
	-0.017632773839644643,
	2.851157028694872e-11,
	0.038699377439582995,
	0.017104745091053315
	],
	[
	100237.3052743468,
	-24256973.979459517,
	0.038699377439583,
	67984035.02192006,
	22978347.64699733
	],
	[
	21481.659992252098,
	-10573313.777160592,
	0.017104745091053315,
	22978347.64699733,
	10265699.47932935
	]
	],
	"r2": 0.9940038847217563,
	"aic": 35.14431182498765,
	"residuals": [
	2.532624659491489,
	-0.2561931070991932,
	-1.578315298611642,
	-2.3305606116655326,
	-1.0909043909997536,
	-0.1572226548000799,
	0.4489715774735714,
	0.76688743789407,
	0.9391491763495878,
	1.8609601054586165,
	1.8707158577208247,
	0.15403759405523942,
	0.4982071483693744,
	-2.109888886846761,
	-1.0396989424534695,
	-1.504318936351865,
	-2.2020957884071777,
	0.0853642505036305,
	2.4989957978726807,
	1.1718848942435898,
	1.5679301586714018,
	1.3031462110093344,
	-1.3387291703088522,
	-2.368217763546795,
	-2.7459090039169496,
	1.6832649050700184,
	1.3394583912357803
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	53.986764247928036,
	9497.160225217916,
	6.44434934789792e-08,
	9999.999999999998,
	-9999.999978993814
	],
	"pcov": [
	[
	60.447617258507414,
	-310.67853582563714,
	5.8601214702514024e-08,
	17933.4450104742,
	-335.2817381447535
	],
	[
	-310.6785358256371,
	1597.1490422131426,
	-3.001968534907282e-07,
	-92446.92488196158,
	1723.9786840915003
	],
	[
	5.8601214702514024e-08,
	-3.001968534907282e-07,
	6.006056882071358e-17,
	1.657027140591759e-05,
	-3.229295596246451e-07
	],
	[
	17933.4450104742,
	-92446.92488196158,
	1.657027140591759e-05,
	5647826.6960639795,
	-100195.4131428107
	],
	[
	-335.2817381447535,
	1723.9786840915,
	-3.22929559624645e-07,
	-100195.41314281069,
	1861.4387992239276
	]
	],
	"r2": 0.9861174901501306,
	"aic": 57.81129668388556,
	"residuals": [
	6.48664557878692,
	2.2937776849012153,
	-0.1451986770498479,
	-2.494414474696896,
	-2.2544215551442903,
	-1.9204548869129212,
	-1.6397304343317955,
	-1.4563610968034482,
	-1.284695085583735,
	-0.2694562425931508,
	0.10288395019961172,
	-1.1292132797843806,
	-0.2594309454179893,
	-2.3464483854168066,
	-0.7855161447569117,
	-0.8040671221297089,
	-0.621530459542555,
	2.1990073744073015,
	4.823873122475561,
	3.426487278427885,
	3.512067464502252,
	2.7345008663360204,
	-0.589147870981833,
	-2.4405407071008085,
	-3.75541307326057,
	-0.3573054938315181,
	-1.0259130584399827
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	90.75142036129812,
	7801.94422585789,
	1.0888868552562598e-07,
	21184.052261391116,
	-8707.998307823345
	],
	"pcov": null,
	"r2": 0.9939225190586721,
	"aic": 35.50823092944771,
	"residuals": [
	2.962193586612557,
	0.03289868499086879,
	-1.4057338606089615,
	-2.333124737628168,
	-1.2093795437067456,
	-0.3483758335296443,
	0.21683167565061012,
	0.5169958008373214,
	0.6884642482255003,
	1.6217320057239704,
	1.6777530407543964,
	0.023424646527928417,
	0.43457539184782945,
	-2.1086237281815556,
	-0.9794675596931484,
	-1.3931214919375634,
	-2.003055316292375,
	0.3180163027609524,
	2.7211097015315318,
	1.3520052532512636,
	1.6871763089038723,
	1.3541613555062213,
	-1.353074062775704,
	-2.4361024045392696,
	-2.8477306086151657,
	1.5738614774490998,
	1.2338164605644124
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	57.306721080648366,
	0.00016247982204993207,
	1.305914425048718
	],
	"pcov": [
	[
	2.1769440903240223,
	1.0316018216236791e-05,
	0.20003857650615353
	],
	[
	1.0316018216236791e-05,
	1.2852627037408633e-09,
	1.1771216244377285e-05
	],
	[
	0.20003857650615353,
	1.1771216244377285e-05,
	0.12168035942491803
	]
	],
	"r2": 0.9551672076816619,
	"aic": 85.46366882773037,
	"residuals": [
	0.8833661079406738,
	0.5331203662773605,
	0.49988520706084305,
	0.31421185688306075,
	0.8500315324593419,
	0.7026632781308422,
	0.25345723566191936,
	-0.2940534089174527,
	-0.7467045738860989,
	-0.2110043030910802,
	-0.3601780818609086,
	-1.6296260321563096,
	-0.4600840545771945,
	-2.0400077717533662,
	0.13453348731773218,
	0.7620417118083367,
	2.397483033591527,
	6.146031934359115,
	9.052552645237547,
	7.305546653266816,
	6.473758718623465,
	4.284918373464258,
	-0.8746227845491461,
	-4.926436591354715,
	-8.755822487793303,
	-8.14449811576835,
	-9.696893315660532
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.073603209379408e+24,
	46.18404729166912,
	4.0538760986705105e-07,
	0.9977774619516154,
	30.282930873552967
	],
	"pcov": [
	[
	1.2813341243532048e-50,
	-1.946697550566235e-26,
	-3.571251416196023e-33,
	1.6581042582708088e-28,
	-2.656711998500969e-24
	],
	[
	-1.946697550566235e-26,
	0.029593320569743686,
	5.409458036169215e-09,
	-0.0002514192366232671,
	4.030160328523329
	],
	[
	-3.571251416196023e-33,
	5.4094580361692145e-09,
	1.0860416738727232e-15,
	-4.729237604522171e-11,
	7.460894776758666e-07
	],
	[
	1.6581042582708088e-28,
	-0.00025141923662326705,
	-4.729237604522171e-11,
	2.1797556373735383e-06,
	-0.03454951500731576
	],
	[
	-2.6567119985009688e-24,
	4.030160328523328,
	7.460894776758665e-07,
	-0.03454951500731576,
	552.9583638898986
	]
	],
	"r2": 0.9873187563234862,
	"aic": 110.99231135385497,
	"residuals": [
	15.603223769042241,
	7.301817566189474,
	2.1318378125205086,
	-3.284979230846382,
	-6.5945715714520645,
	-7.3461936893969195,
	-10.364521592260168,
	-10.985396200747715,
	-7.079108767054066,
	-3.3955928312587673,
	-2.1294323240901747,
	5.373485666716164,
	11.746359433944292,
	2.371825560642776,
	8.123478332599518,
	6.819395193682396,
	1.2602992764986993,
	1.2735728234123371,
	-0.5356368330708676,
	-5.153963579450959,
	-4.337819989666087,
	-1.7371388956283624,
	-4.331458384229677,
	-3.727090598093284,
	-1.9345993785772606,
	5.328969092524019,
	5.62632515466467
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	8925.997790770127,
	2.109900713264442,
	7.323627809991927e-06,
	0.9730464890146773,
	16.60715405147948
	],
	"pcov": null,
	"r2": 0.9866870630238173,
	"aic": 112.3048418740727,
	"residuals": [
	15.793182934784454,
	7.409124864921704,
	2.1689252059546806,
	-3.355298981439738,
	-6.734691798000512,
	-7.525375263841994,
	-10.558007231236857,
	-11.173619232588024,
	-7.246987094255374,
	-3.5318997172719406,
	-2.1816002137140345,
	5.416954930887357,
	11.882530258486838,
	2.588226699886434,
	8.401875217712984,
	7.138655159628314,
	1.5879799747957009,
	1.4989336162365419,
	-0.47644818048939896,
	-5.27418556261614,
	-4.606770795930402,
	-2.09103876179185,
	-4.68491944617719,
	-3.9835153000087047,
	-1.9947306324503131,
	5.560534234298416,
	5.962830031936178
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	55255.14108510423,
	-869034.4833822199,
	1.8851710664020954e-05,
	6762178.887108182,
	30.34812831016451
	],
	"pcov": [
	[
	4868343.881410662,
	-76450035.50295994,
	-0.001371562164104059,
	-10484472.79048865,
	-30502.261187679458
	],
	[
	-76450035.50295992,
	1200533565.5126064,
	0.021506732477527345,
	164642977.59983987,
	478580.69665274106
	],
	[
	-0.0013715621641040587,
	0.02150673247752734,
	2.576160319121143e-12,
	0.0029494820533471247,
	3.6439496263000096e-05
	],
	[
	-10484472.79048865,
	164642977.5998399,
	0.002949482053347125,
	22579385.409787457,
	65633.49020192226
	],
	[
	-30502.261187679454,
	478580.69665274106,
	3.64394962630001e-05,
	65633.49020192226,
	552.2785039090173
	]
	],
	"r2": 0.9873207128942886,
	"aic": 110.98814524138488,
	"residuals": [
	15.60217873706289,
	7.300875301209214,
	2.1309728083484316,
	-3.285757224553958,
	-6.595338819939101,
	-7.3470116051310015,
	-10.365438470936127,
	-10.986448806412767,
	-7.080323776822311,
	-3.3969881499894825,
	-2.1312127466876802,
	5.3713259838504825,
	11.743860345556612,
	2.3690494121299253,
	8.120500733387587,
	6.816297728048596,
	1.257250858789405,
	1.2709829417364347,
	-0.5375258507907574,
	-5.155093307643938,
	-4.338299143059913,
	-1.7372102271776555,
	-4.33146003387418,
	-3.727418320665805,
	-1.9356731526065118,
	5.326732481813934,
	5.623661600800034
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	170.52795407180287,
	7922.85667876392,
	2.384216496572327e-07,
	9999.999999999998,
	-9519.838426768702
	],
	"pcov": [
	[
	1330.123681384265,
	-6563.298056204089,
	1.171835460034085e-06,
	125439.95041158338,
	-7658.94782113754
	],
	[
	-6563.298056204091,
	32388.955702739193,
	-5.772485755570223e-06,
	-619301.3429045826,
	37798.212288422896
	],
	[
	1.1718354600340853e-06,
	-5.772485755570223e-06,
	1.1105834663849466e-15,
	0.0001045384767507427,
	-6.685655704302246e-06
	],
	[
	125439.95041158338,
	-619301.3429045826,
	0.0001045384767507427,
	12555928.507028913,
	-728960.2093827018
	],
	[
	-7658.94782113754,
	37798.21228842289,
	-6.685655704302246e-06,
	-728960.2093827018,
	44165.18926382232
	]
	],
	"r2": 0.9608416352424349,
	"aic": 141.4345422413079,
	"residuals": [
	27.459622195097836,
	14.027952277623626,
	4.83311364817564,
	-6.142456791272707,
	-12.639814556356214,
	-14.978192068296266,
	-18.490962068844965,
	-18.862432176114453,
	-14.207975252265896,
	-9.453188795947426,
	-5.5511622092381,
	4.740909165053381,
	13.702148517922978,
	6.534710172125415,
	14.032958672069071,
	13.995923885679076,
	9.665065151048111,
	8.730993095790836,
	4.648151555242293,
	-2.7933750438114657,
	-4.720792487702056,
	-4.309461376662512,
	-8.202043819563187,
	-7.781870902443188,
	-4.926651872912771,
	4.710423935403014,
	5.978394083938838
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	416.9002509094608,
	-4408.153484411203,
	1.0427951659944203e-05,
	41477.01219146817,
	-41.04954858013167
	],
	"pcov": null,
	"r2": 0.9831698036325645,
	"aic": 118.6346789009908,
	"residuals": [
	17.44496812491576,
	8.426486896651596,
	2.6507498490048675,
	-3.68907956502499,
	-7.602683531861729,
	-8.706049249504261,
	-11.878981893178832,
	-12.502849070301536,
	-8.485490971213949,
	-4.607740325563839,
	-2.800328980195701,
	5.328538443297134,
	12.314101042943207,
	3.478631450188658,
	9.661825703490535,
	8.66635506983036,
	3.343790122249004,
	2.968201535567289,
	0.3964022707134518,
	-5.10423022546675,
	-5.0788912318293455,
	-3.0220554025153774,
	-5.81183384148261,
	-4.999368751116009,
	-2.576755420417612,
	5.730033142297231,
	6.417080623581342
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	143.35282594741534,
	9.487240675141287e-05,
	0.5408835259244658
	],
	"pcov": [
	[
	20.81262155452221,
	2.74835975130076e-06,
	0.19831875328759035
	],
	[
	2.7483597513007607e-06,
	5.953546175890963e-11,
	4.5442252029686106e-07
	],
	[
	0.19831875328759035,
	4.5442252029686106e-07,
	0.007903414682022717
	]
	],
	"r2": 0.9332153465262607,
	"aic": 151.84874217813737,
	"residuals": [
	1.0983741283416748,
	1.0295355794703305,
	2.6165625703519906,
	6.8313867512781385,
	8.84084012367775,
	10.05843410652017,
	6.525385358590832,
	3.6662874930102802,
	4.262178903849431,
	4.105847806114042,
	-2.242420106470348,
	-0.4419188507503691,
	3.23994279338325,
	-5.660118252160174,
	3.267451861416305,
	7.045003955073042,
	16.7731952465233,
	27.563180061315506,
	27.937019315405763,
	18.245802243837574,
	9.936842095621472,
	2.0167253885103946,
	-11.089841809314805,
	-20.53188313864007,
	-28.278424111957293,
	-30.0679557769418,
	-32.3881392148206
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	7.711948933278294e+30,
	60.006095914286306,
	4.585491198503882e-07,
	0.9972965447303513,
	162.7618980093562
	],
	"pcov": [
	[
	2.291108364292658e-64,
	-9.512968975649682e-34,
	-2.4963887233936353e-40,
	6.479989291595558e-36,
	-3.476630605223333e-31
	],
	[
	-9.51296897564968e-34,
	0.003992177353280159,
	1.0170954699613345e-09,
	-2.6554872280699972e-05,
	1.426143449702708
	],
	[
	-2.496388723393635e-40,
	1.0170954699613347e-09,
	3.3984716388249467e-16,
	-7.577484905912815e-12,
	3.868120508360718e-07
	],
	[
	6.479989291595558e-36,
	-2.6554872280699972e-05,
	-7.577484905912815e-12,
	1.954824523076737e-07,
	-0.00997741685092606
	],
	[
	-3.476630605223333e-31,
	1.426143449702708,
	3.868120508360718e-07,
	-0.00997741685092606,
	534.7191075663842
	]
	],
	"r2": 0.9914778808062098,
	"aic": 161.3002185874779,
	"residuals": [
	52.21083560691349,
	12.573434182282682,
	-10.59830525190344,
	-28.828170410012007,
	-28.39594338742637,
	-18.81043810033765,
	-15.945963328739651,
	-8.194519554688952,
	3.4982558904049483,
	7.898415828243515,
	-3.433288318180189,
	18.42616408254537,
	23.535783766090844,
	1.4735178786053211,
	14.237535862559525,
	6.2165802809170145,
	-10.769017896097353,
	-5.700781852044884,
	1.1585216713278896,
	-1.1905134807589093,
	-7.478112249673927,
	-8.393262662672896,
	-12.927350436054894,
	-6.897218663808076,
	1.8782874668754062,
	12.089344846496829,
	12.420551793415939
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	13533.60224940759,
	1.6918305406702019,
	1.3147638361818695e-05,
	0.9348071321427033,
	134.39799888575072
	],
	"pcov": null,
	"r2": 0.990209963508298,
	"aic": 165.045122432383,
	"residuals": [
	54.51010157114226,
	13.830018957291344,
	-10.198291042405458,
	-29.66515342085286,
	-29.954209780868155,
	-20.6953864469194,
	-17.86261066766616,
	-9.929350593640152,
	2.0925962811014642,
	6.916010366422597,
	-3.4476433455953384,
	19.356064524338365,
	25.249174638569684,
	3.742682351258736,
	16.814440257118576,
	8.862753922021966,
	-8.789893186157428,
	-5.090846417714374,
	0.27722858634143677,
	-3.2683386649866293,
	-10.221647939323248,
	-11.183054420172311,
	-15.158038925513551,
	-8.039621556005727,
	2.2465716787986594,
	14.275305063360975,
	15.194918391683984
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	246631.9938105318,
	-3880397.8134935014,
	2.7670679165333606e-05,
	6801728.5797273535,
	162.83275819339272
	],
	"pcov": [
	[
	22822596.9916167,
	-351342870.3280239,
	0.002057548563686213,
	-213897843.69437587,
	4815.4136369439175
	],
	[
	-351342870.3280239,
	5408754688.439424,
	-0.031700732018162994,
	3292854536.284814,
	-74723.19368915196
	],
	[
	0.002057548563686213,
	-0.031700732018162994,
	1.3004437272836217e-12,
	-0.019299372447919513,
	2.404245554337019e-05
	],
	[
	-213897843.69437587,
	3292854536.284814,
	-0.01929937244791951,
	2004692692.0771308,
	-45490.1507963429
	],
	[
	4815.4136369439175,
	-74723.19368915196,
	2.4042455543370195e-05,
	-45490.15079634292,
	534.2899187613295
	]
	],
	"r2": 0.9914797573212436,
	"aic": 161.29427270902542,
	"residuals": [
	52.205105743348184,
	12.568778682340394,
	-10.602094752386591,
	-28.830769467885602,
	-28.397949583553412,
	-18.81231836169161,
	-15.948073132634818,
	-8.197119897636924,
	3.4949835336698243,
	7.894356354976026,
	-3.4390580459034936,
	18.418758449133975,
	23.527019212620985,
	1.4637827297273134,
	14.227263406178395,
	6.206201931174519,
	-10.778040879428772,
	-5.706925654970178,
	1.1557323290305703,
	-1.1903375545733752,
	-7.475938549990815,
	-8.390358750015821,
	-12.925059679887,
	-6.896801770478987,
	1.875750046989424,
	12.08300129904137,
	12.412936467566738
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	616.1953685823064,
	-5612.823586135349,
	1.0528847324368967e-05,
	9999.999999999998,
	-144.20464158670168
	],
	"pcov": [
	[
	36218.38984804355,
	-436264.3000574957,
	0.0007826255053781614,
	988474.609474839,
	44363.03731774995
	],
	[
	-436264.30005749577,
	5294204.71489987,
	-0.00988966222216573,
	-11923914.455927256,
	-571896.4950930536
	],
	[
	0.0007826255053781614,
	-0.009889662222165729,
	2.268886179549191e-11,
	0.021231006735257938,
	0.0014153177680923262
	],
	[
	988474.6094748391,
	-11923914.455927255,
	0.021231006735257938,
	27459467.907785095,
	1210422.9771933022
	],
	[
	44363.03731774994,
	-571896.4950930534,
	0.0014153177680923258,
	1210422.977193302,
	90938.38199006105
	]
	],
	"r2": 0.9716162099555492,
	"aic": 193.78535411141772,
	"residuals": [
	82.9303631209514,
	26.93652621233447,
	-8.463534774157978,
	-42.104623276284855,
	-48.828419481042516,
	-41.17723796765526,
	-36.97961990635599,
	-25.923325610840152,
	-9.828561508193388,
	-0.5245944867882599,
	-2.031048403834234,
	28.299930772719335,
	39.78691972049489,
	21.848981292212898,
	36.621526184583786,
	28.77208973965037,
	6.387604483312884,
	1.6912321389344243,
	-1.724903835126952,
	-12.400560421945784,
	-23.749405026431305,
	-25.958202261666543,
	-28.045780439191958,
	-16.170260507534408,
	1.346621670976674,
	22.632101929799404,
	26.65616019989986
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1823.103849206349,
	-19662.34133696466,
	2.0051947836309885e-05,
	44032.78343643693,
	112.21453369046706
	],
	"pcov": null,
	"r2": 0.988765676507904,
	"aic": 168.76055208143956,
	"residuals": [
	57.51424377586751,
	15.508216188214021,
	-9.598149422535158,
	-30.60189705275775,
	-31.77609647329473,
	-22.920304124278005,
	-20.141738379943376,
	-12.018217628441448,
	0.3572003425595085,
	5.6344767558595095,
	-3.7008615229720476,
	20.0947810586714,
	26.80847588827146,
	5.8928679153729036,
	19.314235831849032,
	11.486628791699445,
	-6.627837771855525,
	-4.02676077461706,
	0.109792966126804,
	-4.4617667708874365,
	-12.051292776433172,
	-13.19111656763505,
	-16.895155529123883,
	-9.109246538929995,
	2.1668634544598717,
	15.42781873171299,
	16.752680658927602
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	424.23954397311184,
	0.0001224688927888695,
	0.38945755454793896
	],
	"pcov": [
	[
	486.8183411701753,
	3.2624488238520466e-05,
	1.289830895543152
	],
	[
	3.2624488238520466e-05,
	1.3478823444896617e-10,
	6.17162258897405e-07
	],
	[
	1.289830895543152,
	6.17162258897405e-07,
	0.01156843862068381
	]
	],
	"r2": 0.8013078225920764,
	"aic": 242.32569552283846,
	"residuals": [
	1.2712156772613055,
	-0.34200165539619043,
	6.683708249336975,
	28.30546904657499,
	46.13797082007119,
	56.44638329413797,
	48.72420755015028,
	39.34512066267797,
	31.396011728307656,
	16.872193791545328,
	-21.302423862102387,
	-4.328251641089878,
	18.141623920027655,
	29.534732513524318,
	82.85558249407984,
	113.61518059637359,
	148.42525865962773,
	130.2431048311778,
	78.66020291471398,
	22.187915357401266,
	-23.863232588542417,
	-57.46066910192104,
	-93.90627183806265,
	-118.89802802534336,
	-137.56334713921478,
	-149.9128733469915,
	-155.45947549282135
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	1.130266777312377e+30,
	58.0975699312257,
	4.7561912431778275e-07,
	0.9971245755060923,
	175.64203289555908
	],
	"pcov": [
	[
	1.0308222726818974e-62,
	-5.8835748510134244e-33,
	-1.5993729736775924e-39,
	4.154677609835146e-35,
	-2.1945389359398113e-30
	],
	[
	-5.8835748510134244e-33,
	0.003399983992050267,
	8.952964017994559e-10,
	-2.3404266048398825e-05,
	1.237175106260298
	],
	[
	-1.5993729736775924e-39,
	8.952964017994559e-10,
	3.100256724802748e-16,
	-6.903372515744254e-12,
	3.469565464898865e-07
	],
	[
	4.1546776098351463e-35,
	-2.3404266048398825e-05,
	-6.903372515744255e-12,
	1.7819923880481477e-07,
	-0.008958706818103233
	],
	[
	-2.1945389359398113e-30,
	1.237175106260298,
	3.469565464898865e-07,
	-0.008958706818103231,
	472.86128301349106
	]
	],
	"r2": 0.9927722248578278,
	"aic": 158.52753544616095,
	"residuals": [
	51.57232033938581,
	9.783824519427924,
	-14.730161790094513,
	-30.14271947991996,
	-25.98538384427519,
	-14.37740227444516,
	-11.72181747778734,
	-4.639112881234894,
	5.894083769019119,
	8.833722398917473,
	-4.694762741858767,
	16.430108894638465,
	21.024288898333566,
	-1.4736927067533543,
	11.44339823273549,
	4.210532317461912,
	-11.409873475694326,
	-4.878202357917871,
	2.787804729143886,
	0.4605531136464833,
	-4.116514231242093,
	-7.227098601233138,
	-12.77676429280774,
	-7.330620910140453,
	0.9876699406580656,
	10.97287850322607,
	11.154366097941647
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	12757.904169390295,
	1.6374342550985446,
	1.357265784313782e-05,
	0.931067956544829,
	145.68247068345076
	],
	"pcov": null,
	"r2": 0.9916745688646212,
	"aic": 162.34489155499116,
	"residuals": [
	54.17841496067382,
	11.232138292724983,
	-14.23376258292194,
	-31.023837180074565,
	-27.674416894991282,
	-16.438866468258254,
	-13.83034946181408,
	-6.559253870311352,
	4.324899050867998,
	7.719456858740273,
	-4.763763351650368,
	17.383296821831436,
	22.826872581531234,
	0.9325472028776858,
	14.185547495857918,
	7.031343186800655,
	-9.297219544672771,
	-4.227365052356731,
	1.8480606644390036,
	-1.7519724748993895,
	-7.032776567338942,
	-10.18532231416998,
	-15.132194466630722,
	-8.521373730126584,
	1.408540016360348,
	13.328752536664808,
	14.135917587410859
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	233515.52445532443,
	-3654350.9133469937,
	2.7789238955764746e-05,
	6251410.330340345,
	175.71729130094027
	],
	"pcov": [
	[
	17045280.181082807,
	-260684581.091116,
	0.0016456334393313064,
	-162672373.39789104,
	3776.6938355782795
	],
	[
	-260684581.09111604,
	3986819849.7065187,
	-0.02519015958433072,
	2487855032.135476,
	-58283.297448073106
	],
	[
	0.0016456334393313064,
	-0.02519015958433072,
	1.114281145992019e-12,
	-0.015719106839700694,
	2.0904994736567295e-05
	],
	[
	-162672373.39789107,
	2487855032.135476,
	-0.015719106839700698,
	1552471115.8925672,
	-36368.66021836816
	],
	[
	3776.693835578279,
	-58283.297448073106,
	2.0904994736567295e-05,
	-36368.66021836816,
	472.47327403636217
	]
	],
	"r2": 0.9927738141881159,
	"aic": 158.5215977079741,
	"residuals": [
	51.56947075546631,
	9.782156568719898,
	-14.73088190169915,
	-30.14215195685695,
	-25.984200287746404,
	-14.37612825225466,
	-11.720853954424967,
	-4.638755151201792,
	5.893629395007849,
	8.832323923301374,
	-4.698210838070054,
	16.42468307476713,
	21.017185567187653,
	-1.4820468560147901,
	11.43427237721528,
	4.201113984611993,
	-11.41821095950695,
	-4.883729356510003,
	2.785671143397167,
	0.46144704446498963,
	-4.113595554376161,
	-7.223490825011311,
	-12.773890870191394,
	-7.329820007148271,
	0.9852519633001862,
	10.966339866734643,
	11.14645414761037
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	635.9405763647122,
	-5801.958242019393,
	1.0605270705224612e-05,
	9999.999999999998,
	-137.22067396067052
	],
	"pcov": [
	[
	33938.99802613134,
	-408066.5423504483,
	0.0007115362120823057,
	897738.0151300872,
	40812.26580204846
	],
	[
	-408066.5423504484,
	4942049.611042033,
	-0.008969069611287126,
	-10809907.371713804,
	-524761.885722761
	],
	[
	0.0007115362120823057,
	-0.008969069611287125,
	2.0014089276068107e-11,
	0.01870913876139421,
	0.0012640694157606469
	],
	[
	897738.015130087,
	-10809907.371713802,
	0.018709138761394208,
	24170410.251088325,
	1079401.0470072872
	],
	[
	40812.26580204847,
	-524761.885722761,
	0.0012640694157606469,
	1079401.0470072874,
	82268.84043889734
	]
	],
	"r2": 0.9750522396094754,
	"aic": 191.97656081096252,
	"residuals": [
	83.42584209919335,
	24.765506792140656,
	-12.361086217273908,
	-43.66894918044909,
	-46.89579755805727,
	-37.291952107967006,
	-33.27679403878602,
	-22.80712649588554,
	-7.761005530677494,
	0.20435309899391996,
	-3.265005638352136,
	26.51508608848701,
	37.60366051520566,
	19.280821377033817,
	34.199422186265906,
	27.084782467836476,
	5.808236239692974,
	2.2662725640454937,
	-0.5965267625739443,
	-11.392524538141629,
	-21.04317935233371,
	-25.334480575577118,
	-28.2164730077929,
	-16.617981219175135,
	0.8110646760392228,
	22.280730478554972,
	26.283099779501526
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1810.5918538372919,
	-19457.740015924453,
	1.993597625784545e-05,
	42137.70062426057,
	121.32428070493468
	],
	"pcov": null,
	"r2": 0.9903586622596905,
	"aic": 166.3070078017821,
	"residuals": [
	57.44575467492989,
	13.046735753845454,
	-13.596848934783978,
	-32.05751534279028,
	-29.661036320787076,
	-18.850485184163972,
	-16.287311992224545,
	-8.79739842910675,
	2.480256859854933,
	6.374191489737711,
	-4.9891331629942215,
	18.22676107507357,
	24.5446635615682,
	3.2701656779446466,
	16.878904502939235,
	9.835804066949208,
	-7.0422970043391615,
	-3.188843287451732,
	1.5492537172674474,
	-3.1462013181946418,
	-9.087069003663203,
	-12.39633965613848,
	-17.01023420794627,
	-9.637117439824863,
	1.4021064546627144,
	14.690738338047822,
	15.946233124722824
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	442.1674101185548,
	0.00012511408710797346,
	0.4028824881228762
	],
	"pcov": [
	[
	518.37480490119,
	3.849849906925372e-05,
	1.3769644469281126
	],
	[
	3.849849906925371e-05,
	1.4948593293962077e-10,
	7.033290749719289e-07
	],
	[
	1.3769644469281126,
	7.033290749719289e-07,
	0.012450293608684292
	]
	],
	"r2": 0.8016344577126149,
	"aic": 243.95640189395814,
	"residuals": [
	1.4760907888411985,
	-1.1380900605255961,
	5.150364821246441,
	29.530742030543223,
	49.908420629631266,
	60.53895832407861,
	50.87035374091593,
	39.401974977161785,
	29.41559456520872,
	13.20440556817357,
	-25.71751795905476,
	-6.223568787010436,
	19.50318415763934,
	33.53339383459763,
	88.60960904045356,
	120.08812472648265,
	151.34785897608964,
	130.1771633474724,
	79.31437204274647,
	24.38441980830163,
	-19.99288127045031,
	-57.41745181435067,
	-96.50291551482047,
	-122.82286074067429,
	-142.1043111516455,
	-154.8242363187137,
	-160.60051611800623
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.629626019966342e+30,
	58.90663640588772,
	4.6576788221314373e-07,
	0.997196347296265,
	176.82918015251002
	],
	"pcov": [
	[
	1.9393474985224565e-63,
	-2.556828422413206e-33,
	-6.791265559997713e-40,
	1.7794409681969733e-35,
	-9.760547156030514e-31
	],
	[
	-2.5568284224132056e-33,
	0.0034122006757256016,
	8.784500193759056e-10,
	-2.316049842461545e-05,
	1.271496748683857
	],
	[
	-6.791265559997713e-40,
	8.784500193759057e-10,
	2.9576652128944364e-16,
	-6.662614375024533e-12,
	3.4807566840871e-07
	],
	[
	1.7794409681969733e-35,
	-2.316049842461545e-05,
	-6.662614375024533e-12,
	1.73488864689476e-07,
	-0.00906698866253065
	],
	[
	-9.760547156030514e-31,
	1.2714967486838573,
	3.4807566840871e-07,
	-0.00906698866253065,
	496.9308922815937
	]
	],
	"r2": 0.9929023501752742,
	"aic": 158.98859690330102,
	"residuals": [
	52.376736230702335,
	10.073157524659763,
	-16.964396467245535,
	-30.606735723636035,
	-25.48168284049791,
	-13.33196929051681,
	-10.817547890010815,
	-4.0040605604926895,
	6.182313312808105,
	8.622033233238085,
	-5.543132517025015,
	15.677297927802329,
	20.65647313147599,
	-1.9182919600983723,
	10.993783593826947,
	4.200102320153974,
	-10.794187479903144,
	-4.136391581262387,
	3.633188645055725,
	1.1861768029600626,
	-4.41526101729869,
	-8.337686866129786,
	-13.256189518518795,
	-7.879805974656051,
	0.9635690406875028,
	11.296926312599453,
	11.675388800491703
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	12733.888353586262,
	1.6208600978393746,
	1.3587014892447747e-05,
	0.9316954429373662,
	145.56409610864822
	],
	"pcov": null,
	"r2": 0.9918225789972429,
	"aic": 162.81215064157308,
	"residuals": [
	55.05745404777099,
	11.571673033225295,
	-16.439025347165654,
	-31.49274804264266,
	-27.199524668132682,
	-15.43783747603834,
	-12.979209961015272,
	-5.980469575612574,
	4.558184598410605,
	7.457624906896285,
	-5.645549215937194,
	16.618885894656273,
	22.470381225502592,
	0.5205558217129465,
	13.786410652675045,
	7.08483532609398,
	-8.605166823395962,
	-3.4232244494365887,
	2.72520058650548,
	-1.0304137181351507,
	-7.366956286495451,
	-11.351286027653146,
	-15.671397576780123,
	-9.117570846538115,
	1.3670702715181733,
	13.680332056472082,
	14.700568083435712
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	234622.82103992233,
	-3669867.107534756,
	2.7588252911036193e-05,
	6203290.743686388,
	176.90407010764406
	],
	"pcov": [
	[
	16634642.507552475,
	-254135667.8957594,
	0.0015759837273542493,
	-160496799.69744855,
	3298.12085917859
	],
	[
	-254135667.89575946,
	3882557046.6569333,
	-0.024099937409645344,
	2451989464.4578176,
	-50937.474884119765
	],
	[
	0.0015759837273542495,
	-0.024099937409645344,
	1.0922757176077795e-12,
	-0.015220014129539182,
	2.1256404571652564e-05
	],
	[
	-160496799.69744858,
	2451989464.4578176,
	-0.015220014129539182,
	1548529039.3876863,
	-32167.682866600277
	],
	[
	3298.1208591785903,
	-50937.474884119765,
	2.1256404571652564e-05,
	-32167.682866600277,
	496.5395248648464
	]
	],
	"r2": 0.9929038433436569,
	"aic": 158.98291617959413,
	"residuals": [
	52.37383538446798,
	10.07141153127472,
	-16.96521350620054,
	-30.606282951692407,
	-25.48061074683295,
	-13.330787959530454,
	-10.816647470911278,
	-4.003729372269504,
	6.181872815566237,
	8.620690406888116,
	-5.546444792591274,
	15.67207533081205,
	20.64962214358718,
	-1.9263647959315904,
	10.984948442188056,
	4.19096660400055,
	-10.802318678421557,
	-4.141827419241395,
	3.6310356521431686,
	1.1869728831660495,
	-4.412474248532362,
	-8.334199957421504,
	-13.253387355177438,
	-7.878998249903304,
	0.961253463536309,
	11.290593009038162,
	11.667713188828145
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	633.8450688575882,
	-5628.454842219486,
	8.963659573328685e-06,
	9990.061894650154,
	-282.8898063033126
	],
	"pcov": [
	[
	32182.26788399704,
	-409418.73818759684,
	0.0006958991429213647,
	866264.13273564,
	60513.313981300475
	],
	[
	-409418.73818759684,
	5288832.353439024,
	-0.009512044019127204,
	-11047900.106586207,
	-847316.2273412608
	],
	[
	0.0006958991429213647,
	-0.009512044019127206,
	2.0624386538808194e-11,
	0.018733944067910107,
	0.0019543406161616995
	],
	[
	866264.1327356399,
	-11047900.106586207,
	0.018733944067910107,
	23745217.475079454,
	1640044.969348848
	],
	[
	60513.313981300475,
	-847316.2273412609,
	0.0019543406161616995,
	1640044.969348848,
	189223.6710423636
	]
	],
	"r2": 0.9747283680221382,
	"aic": 193.27640402535928,
	"residuals": [
	75.67624221427428,
	18.292575804719775,
	-19.772799452372226,
	-46.658573079560256,
	-46.827620025540284,
	-35.039845296389046,
	-29.88794345782702,
	-18.710209245663634,
	-3.284331998853361,
	4.697045238821772,
	1.1165081701273607,
	31.003453447666004,
	42.12051913094206,
	23.106181387079914,
	37.231018852341776,
	29.658642330008433,
	6.609750576233182,
	0.98636173882619,
	-3.465345364362065,
	-15.384464732944878,
	-26.29639342910349,
	-30.85623567281158,
	-31.811413841379306,
	-18.288922031395316,
	2.2871793499127193,
	27.277239593335764,
	32.52350890620704
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1836.5835753829467,
	-19736.435957206777,
	1.9741544595228037e-05,
	42190.177383749775,
	120.16812136016937
	],
	"pcov": null,
	"r2": 0.990533448717126,
	"aic": 166.76462253566436,
	"residuals": [
	58.38816262958086,
	13.42974402190363,
	-15.775959308087494,
	-32.52799895380339,
	-29.20745558373153,
	-17.883859863472452,
	-15.478205485669491,
	-8.26385216179142,
	2.6686183026943127,
	6.070484155431416,
	-5.901093385708862,
	17.44793307281759,
	24.19053963093279,
	2.8763033179612876,
	16.511337772299726,
	9.931258012502099,
	-6.29693689847943,
	-2.3384271438909536,
	2.4539001452508273,
	-2.420191598885367,
	-9.437753033477009,
	-13.593011478737878,
	-17.58473197821587,
	-10.262259661838186,
	1.3490910741680295,
	15.05847833939805,
	16.537182250613284
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	450.47528994352007,
	0.0001252784159971839,
	0.4082076331970297
	],
	"pcov": [
	[
	537.5325507709762,
	3.994737975417907e-05,
	1.4202183359091183
	],
	[
	3.994737975417907e-05,
	1.540223013664607e-10,
	7.316015393906205e-07
	],
	[
	1.4202183359091183,
	7.316015393906205e-07,
	0.012793004029168041
	]
	],
	"r2": 0.8021854955217544,
	"aic": 244.83287962855704,
	"residuals": [
	1.630185842514138,
	-1.100611691312639,
	2.9287958475094715,
	29.297969970920747,
	50.58337212746882,
	61.552595010050226,
	51.49993033315371,
	39.55141450157788,
	29.08282048471773,
	12.331638883802043,
	-27.029258700730907,
	-6.986650318169609,
	19.651225113078908,
	34.05628668006875,
	89.43510036917519,
	121.52247142700134,
	153.59767411158947,
	132.897200810598,
	82.39838852388442,
	27.017271882148066,
	-19.26880626917881,
	-58.5156191130298,
	-97.8202076683911,
	-124.91253174360298,
	-144.33947232748346,
	-157.3885006721107,
	-163.16669358207486
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	1.5164177420223888e+30,
	58.31727709406578,
	4.6033625857997144e-07,
	0.9973795558100881,
	167.52285185961537
	],
	"pcov": [
	[
	6.877334400743309e-63,
	-4.8191278749877e-33,
	-1.2676563659209444e-39,
	3.3760316367876737e-35,
	-1.9478717871024654e-30
	],
	[
	-4.819127874987699e-33,
	0.003420767034611568,
	8.717218840552353e-10,
	-2.336166615173622e-05,
	1.3501556044790493
	],
	[
	-1.2676563659209444e-39,
	8.717218840552354e-10,
	2.8662015011958785e-16,
	-6.623018237566001e-12,
	3.6461241914190435e-07
	],
	[
	3.3760316367876726e-35,
	-2.336166615173622e-05,
	-6.623018237566e-12,
	1.7550612467815216e-07,
	-0.009661273818958054
	],
	[
	-1.9478717871024654e-30,
	1.3501556044790493,
	3.646124191419043e-07,
	-0.009661273818958054,
	556.6680963523639
	]
	],
	"r2": 0.9930917830352014,
	"aic": 159.38255203589048,
	"residuals": [
	52.636039855451116,
	10.257037464942812,
	-18.54701898502458,
	-30.33582077524143,
	-24.284775832222465,
	-12.08207276846855,
	-10.16407799818137,
	-3.961425986252607,
	5.636447130757745,
	7.797643510590888,
	-6.823419284354031,
	14.863984516770074,
	20.414609968653508,
	-2.2790248656999665,
	10.807154622889698,
	4.590998705003244,
	-9.736848116698638,
	-3.342300030401816,
	4.457803250091615,
	2.562569655592256,
	-3.7735681050205585,
	-9.374191860667224,
	-15.39139312597365,
	-10.161507085771234,
	0.34812038990554584,
	12.522954215744278,
	13.41425015162173
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	12758.588128461119,
	1.5877627318339291,
	1.3524408139598091e-05,
	0.9371832553406731,
	133.27800402081013
	],
	"pcov": null,
	"r2": 0.9920185207655521,
	"aic": 163.2816812862677,
	"residuals": [
	55.394440208141475,
	11.817812223672831,
	-17.97511646729653,
	-31.206220576002778,
	-26.01539400958407,
	-14.225089128148483,
	-12.38237868601766,
	-6.008690148983874,
	3.932562132042335,
	6.549679888849482,
	-7.003367387534013,
	15.748511652535399,
	22.201476998814087,
	0.16763781262613975,
	13.643193681632738,
	7.552200494423232,
	-7.41372008451242,
	-2.483550591307562,
	3.665010123638808,
	0.40444437065264083,
	-6.7311429588691,
	-12.44861156554282,
	-17.900045390085552,
	-11.494903095017776,
	0.6878845186392937,
	14.908581228793196,
	16.46773031742123
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	245455.06701562274,
	-3846759.364992301,
	2.6996703155594596e-05,
	6395205.875397175,
	167.60491293615038
	],
	"pcov": [
	[
	17061395.09008757,
	-260968966.86752096,
	0.0014913613339799143,
	-167561636.56081918,
	2662.0854569150215
	],
	[
	-260968966.86752096,
	3991749417.914366,
	-0.02283544214688128,
	2563002309.297416,
	-41333.87379675887
	],
	[
	0.0014913613339799141,
	-0.022835442146881275,
	1.0386581015459293e-12,
	-0.014662005787698214,
	2.205246823006489e-05
	],
	[
	-167561636.56081918,
	2563002309.2974157,
	-0.014662005787698213,
	1645639580.4810114,
	-26537.902667924427
	],
	[
	2662.085456915021,
	-41333.87379675887,
	2.205246823006489e-05,
	-26537.902667924427,
	556.2154108223988
	]
	],
	"r2": 0.9930932844738745,
	"aic": 159.37668319152814,
	"residuals": [
	52.63293278177892,
	10.255106214348302,
	-18.547999657415858,
	-30.33548814555337,
	-24.283782359080988,
	-12.080932578895101,
	-10.163186704822976,
	-3.961078251370054,
	5.636042060909972,
	7.796348101447393,
	-6.826679939722567,
	14.858794631239334,
	20.40775501681412,
	-2.287150104589614,
	10.798212767545692,
	4.581701442612257,
	-9.745253497467615,
	-3.348058170612717,
	4.455352276680287,
	2.56314808933314,
	-3.7708915695754968,
	-9.370712500630873,
	-15.388528818635564,
	-10.16062178697689,
	0.3458304478263017,
	12.516521948829507,
	13.406424078321379
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	657.0950297301272,
	-5927.029085553763,
	9.810865012090449e-06,
	9999.999999999958,
	-209.75307704950384
	],
	"pcov": [
	[
	34329.045522792505,
	-422692.77309945604,
	0.000705921121757252,
	885349.1087575199,
	50856.57071766951
	],
	[
	-422692.77309945604,
	5258550.723847589,
	-0.009208037217554083,
	-10921613.404989474,
	-677999.009862304
	],
	[
	0.000705921121757252,
	-0.009208037217554085,
	1.967043715129199e-11,
	0.018148671946380476,
	0.0015527840077768872
	],
	[
	885349.1087575199,
	-10921613.404989474,
	0.018148671946380476,
	23245475.734578136,
	1315768.513535797
	],
	[
	50856.570717669514,
	-677999.0098623041,
	0.0015527840077768872,
	1315768.5135357971,
	125770.04073109072
	]
	],
	"r2": 0.9754627773726965,
	"aic": 193.60450361070505,
	"residuals": [
	86.46875709923981,
	26.470545105591867,
	-15.557475048425431,
	-44.14300818190989,
	-46.052362937731544,
	-36.19227604425771,
	-33.07691146233583,
	-23.51830180352499,
	-9.341428306687021,
	-2.017765783150139,
	-6.173028525129439,
	24.659642122733658,
	37.20106531022418,
	19.136731448221894,
	34.60718231106546,
	28.80511160530955,
	9.158469601308866,
	5.311356061975175,
	2.0752272123536386,
	-8.946914298428169,
	-20.995688464390696,
	-28.262892225261226,
	-31.850640225944744,
	-20.40130507521883,
	-0.38179594560040186,
	24.011068223912503,
	29.006594051292836
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1873.6386234930294,
	-20127.179900420022,
	1.9180193203793458e-05,
	42439.970413234354,
	104.87071797908288
	],
	"pcov": null,
	"r2": 0.9907248354283832,
	"aic": 167.3375292135159,
	"residuals": [
	58.86022152880901,
	13.77365014317715,
	-17.248188040803583,
	-32.23524246415039,
	-28.061624192907658,
	-16.741784573403947,
	-14.973491244539332,
	-8.396061520696321,
	1.935313392036278,
	5.057974953576377,
	-7.341893434115718,
	16.529170529516023,
	23.91352054142203,
	2.5556981992543797,
	16.437110672432482,
	10.49800335285613,
	-4.96493062257764,
	-1.26565843779656,
	3.48426679893214,
	-0.9538433740734718,
	-8.828601437676241,
	-14.76056765348909,
	-19.903428390631007,
	-12.720746948657165,
	0.6278495712766698,
	16.312871884091237,
	18.35622662692606
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	458.755832627553,
	0.00012477097851590945,
	0.4121860560480393
	],
	"pcov": [
	[
	576.2692635172506,
	4.1629620076165426e-05,
	1.505781793856112
	],
	[
	4.1629620076165426e-05,
	1.6079392112491325e-10,
	7.690522084180672e-07
	],
	[
	1.5057817938561118,
	7.690522084180672e-07,
	0.013421301256212126
	]
	],
	"r2": 0.7975940644642158,
	"aic": 246.57677180636801,
	"residuals": [
	1.7554750442504883,
	-0.8941881777599661,
	1.4900612962981068,
	29.8758216071736,
	52.17698260718814,
	63.242748715986096,
	52.60705626460461,
	40.039577244419036,
	28.95728895919757,
	11.88829427800573,
	-28.034050691366303,
	-7.6220259500217935,
	19.574154525875315,
	34.01388700678433,
	89.94460016301457,
	123.22100922193226,
	158.10380974755367,
	138.81764677349065,
	88.40434135717953,
	32.2208362398373,
	-16.65185330828706,
	-59.333485397298716,
	-101.36323481743756,
	-130.25696155217446,
	-149.73537805484847,
	-162.6227056516109,
	-168.36735823495792
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.7703601610967863e+30,
	58.86279825188427,
	4.5225998599059127e-07,
	0.9975745936750591,
	160.27996254122002
	],
	"pcov": [
	[
	2.196253768433276e-63,
	-2.6962234852617177e-33,
	-7.020559037385135e-40,
	1.865055637200156e-35,
	-1.1482346508788862e-30
	],
	[
	-2.696223485261717e-33,
	0.003354635647977411,
	8.455642074958174e-10,
	-2.26044404437281e-05,
	1.3949468691875033
	],
	[
	-7.020559037385134e-40,
	8.455642074958172e-10,
	2.7391299619226056e-16,
	-6.3403224406553854e-12,
	3.7241129632047547e-07
	],
	[
	1.865055637200156e-35,
	-2.26044404437281e-05,
	-6.3403224406553854e-12,
	1.677916506980136e-07,
	-0.009846795874273284
	],
	[
	-1.148234650878886e-30,
	1.3949468691875033,
	3.7241129632047547e-07,
	-0.009846795874273282,
	605.1431692392161
	]
	],
	"r2": 0.9931157017621203,
	"aic": 160.58562506329795,
	"residuals": [
	53.48800147915742,
	10.337868470367425,
	-20.472873536328493,
	-30.156344737491168,
	-22.85333100149822,
	-10.5066755072705,
	-9.459261048070516,
	-4.07502536715424,
	4.9207301567205946,
	6.500032432676221,
	-8.908808252106326,
	13.449166421970858,
	20.198491323714507,
	-2.4015833194687275,
	11.307939796285496,
	5.735338490493405,
	-8.31337086140229,
	-1.5254431690306092,
	6.070678788706914,
	3.8429830119844723,
	-6.022658077347387,
	-11.92146613099169,
	-17.950458942670934,
	-11.526724935016546,
	0.5319076412795312,
	14.154571103125704,
	15.61156473806551
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	13009.716787226365,
	1.5685879648293692,
	1.3554759540324965e-05,
	0.9416844442111243,
	124.00847029118754
	],
	"pcov": null,
	"r2": 0.991988946105913,
	"aic": 164.67826141046072,
	"residuals": [
	56.349211406030236,
	11.963225044099516,
	-19.869164554471723,
	-31.045977625867437,
	-24.63766278524912,
	-12.724303904689634,
	-11.762083160604504,
	-6.2079803843956824,
	3.136783258115429,
	5.182767021164864,
	-9.12661965881182,
	14.333390475080819,
	22.022543264085925,
	0.11560271681287304,
	14.241230463466195,
	8.812663351410379,
	-5.86212551743381,
	-0.5681200873624448,
	5.3229115210217515,
	1.6705051984752117,
	-9.04496833507983,
	-15.091807266382148,
	-20.56132316711563,
	-12.941780043838776,
	0.8365549900945553,
	16.574876240592403,
	18.7246396144742
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	273923.16733576905,
	-4314938.742509093,
	2.6774429360932064e-05,
	6931556.860873809,
	160.36594664384648
	],
	"pcov": [
	[
	20053888.86476556,
	-307833129.98299086,
	0.0016000712946692944,
	-204496867.7003217,
	3440.5503580094373
	],
	[
	-307833129.98299086,
	4725330435.40521,
	-0.024585920683363356,
	3139087960.8411136,
	-53478.88079663761
	],
	[
	0.001600071294669294,
	-0.024585920683363356,
	1.010530492163753e-12,
	-0.01633262955856537,
	2.2722820174706156e-05
	],
	[
	-204496867.7003217,
	3139087960.841113,
	-0.01633262955856537,
	2085329980.7544122,
	-35524.88483611144
	],
	[
	3440.5503580094373,
	-53478.880796637604,
	2.2722820174706156e-05,
	-35524.88483611144,
	604.6393336876014
	]
	],
	"r2": 0.9931172932743548,
	"aic": 160.57938248103142,
	"residuals": [
	53.48483187532946,
	10.335887309177991,
	-20.473893150103862,
	-30.156033897639816,
	-22.85234820686341,
	-10.505540438794299,
	-9.458374325565615,
	-4.07468607465114,
	4.920308955594237,
	6.498709992527722,
	-8.912125001325819,
	13.44388539316219,
	20.191508145000284,
	-2.409872608565138,
	11.298801920436745,
	5.725818986916238,
	-8.322032110709756,
	-1.5314434913161676,
	6.068036948262716,
	3.843442347820087,
	-6.020027368602825,
	-11.917974818769437,
	-17.947553430201538,
	-11.525806075363334,
	0.5296028472619128,
	14.148034772863241,
	15.603600258964434
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	675.2201123722826,
	-6064.849291899369,
	9.647779726357781e-06,
	9999.999999999998,
	-240.83967539431694
	],
	"pcov": [
	[
	36415.21989946162,
	-450624.55681529816,
	0.0007261656640157638,
	913122.153588092,
	56251.26774485282
	],
	[
	-450624.55681529816,
	5637675.844881396,
	-0.009536113382032654,
	-11320053.849677186,
	-755167.6499569493
	],
	[
	0.0007261656640157637,
	-0.009536113382032654,
	1.9616834300621662e-11,
	0.018147715952885793,
	0.001662751180382005
	],
	[
	913122.153588092,
	-11320053.849677186,
	0.018147715952885793,
	23310768.868190683,
	1414384.473616917
	],
	[
	56251.26774485282,
	-755167.6499569494,
	0.0016627511803820052,
	1414384.473616917,
	144494.1007470121
	]
	],
	"r2": 0.9751147210443195,
	"aic": 195.28152203807537,
	"residuals": [
	88.58349025094492,
	27.248206563994046,
	-17.227861513813252,
	-44.30989348954398,
	-45.30187924620799,
	-35.45251419860932,
	-33.24042768247068,
	-24.450813491128315,
	-10.772639619326924,
	-3.8936512797587284,
	-8.515561147089215,
	23.31335854556562,
	37.34385708250079,
	19.608799218824288,
	35.876329110890424,
	30.829407826612965,
	11.50117712189558,
	7.837221913257281,
	4.059179750395401,
	-7.657284856658521,
	-23.544039455623647,
	-31.31295669506028,
	-34.98127066973507,
	-22.259276182656663,
	-0.4639839143936797,
	25.7432550185664,
	31.439751986431304
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1942.9789775582906,
	-20875.903191312478,
	1.9020899686412044e-05,
	42860.62748637997,
	94.6286891822741
	],
	"pcov": null,
	"r2": 0.9906814607347649,
	"aic": 168.7602175438267,
	"residuals": [
	59.927894527260506,
	14.006302688388914,
	-19.07870046586187,
	-32.05286753097732,
	-26.69525157333709,
	-15.278344803711946,
	-14.409645926363453,
	-8.664758135162117,
	1.062542823643355,
	3.611078859110819,
	-9.540272935293615,
	15.053857456731635,
	23.695028447803566,
	2.4870464866743305,
	17.041287911700124,
	11.785448058783686,
	-3.3487459203671506,
	0.7281769525110349,
	5.214129558852619,
	0.3646722268082385,
	-11.114974874668633,
	-17.400409482237023,
	-22.57984839025812,
	-14.192678981001393,
	0.7516336868703206,
	17.9648662955031,
	20.60398375495231
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	467.60419055910177,
	0.00012465320503658535,
	0.4103099838434033
	],
	"pcov": [
	[
	634.1664604995433,
	4.453494882724888e-05,
	1.6178165651638055
	],
	[
	4.453494882724888e-05,
	1.6828880678123328e-10,
	8.022103368232548e-07
	],
	[
	1.6178165651638055,
	8.022103368232548e-07,
	0.014068980906161276
	]
	],
	"r2": 0.7874631446890414,
	"aic": 249.19217471525135,
	"residuals": [
	1.9015839099884033,
	-0.6840106127610919,
	0.3786324442813154,
	31.834511659333636,
	55.89358900721764,
	67.2529863168937,
	55.64232578276872,
	41.994388864641564,
	29.976565925783632,
	11.993865411320485,
	-29.16025260502795,
	-8.029399301449416,
	20.945918296820423,
	36.46140172666651,
	94.17773494726134,
	129.20299362259425,
	165.78643334322913,
	145.9734900925081,
	93.21586927333698,
	34.57673156522759,
	-19.58440490167652,
	-64.17870220163815,
	-107.87439306791578,
	-137.226473398424,
	-156.68005416645718,
	-169.45121424863265,
	-174.99285589077164
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.4525395900230927e+30,
	58.68183347433433,
	4.4385426542643694e-07,
	0.9979462003929978,
	132.60652463085287
	],
	"pcov": [
	[
	3.5730208820149295e-63,
	-3.553642443601539e-33,
	-9.204216249369252e-40,
	2.446492907345636e-35,
	-1.6264656274003304e-30
	],
	[
	-3.553642443601539e-33,
	0.0035842484420243203,
	8.978225055964588e-10,
	-2.401167637356064e-05,
	1.602501330870144
	],
	[
	-9.204216249369252e-40,
	8.978225055964587e-10,
	2.8597586622746073e-16,
	-6.688471781949748e-12,
	4.2432819739512336e-07
	],
	[
	2.446492907345636e-35,
	-2.4011676373560642e-05,
	-6.6884717819497484e-12,
	1.7751813911521728e-07,
	-0.011233939459361443
	],
	[
	-1.6264656274003304e-30,
	1.602501330870144,
	4.243281973951234e-07,
	-0.011233939459361441,
	744.9765831713377
	]
	],
	"r2": 0.992491731491222,
	"aic": 163.46504157446324,
	"residuals": [
	55.531069837149204,
	12.632502089715587,
	-21.43853690216895,
	-31.58008250741841,
	-23.67794369457502,
	-11.013698946862519,
	-9.905006614330205,
	-4.76959627478152,
	4.008350827182426,
	5.459906747747482,
	-9.719011184714645,
	13.073291746494192,
	21.30506683496162,
	-1.180152451195454,
	12.364769005190396,
	6.868706795610933,
	-7.8755797904741485,
	-1.5859686573969611,
	6.300158581256028,
	4.686568011630811,
	-6.663112003244578,
	-12.261375602991734,
	-19.87761292413404,
	-13.907916095217274,
	-0.15250951755291453,
	15.649016156481593,
	17.78925226330705
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	13374.051883470664,
	1.544726421859049,
	1.3442459167670104e-05,
	0.9524783680902071,
	93.16774870963101
	],
	"pcov": null,
	"r2": 0.9912871261855912,
	"aic": 167.48255516328064,
	"residuals": [
	58.38135116491088,
	14.259156305983339,
	-20.825725567693524,
	-32.4551097880275,
	-25.451354741169098,
	-13.229279698124401,
	-12.216907547145922,
	-6.922917129006123,
	2.194022384415689,
	4.104433087783718,
	-9.98232736068212,
	13.916293179732634,
	23.10212058688103,
	1.3313403357451534,
	15.31755375729017,
	9.991581144958786,
	-5.325162745679677,
	-0.5086771314944372,
	5.656635513988817,
	2.5754521646413195,
	-9.678981860971248,
	-15.47661302851418,
	-22.56803645330615,
	-15.411290296699804,
	0.0861415268499286,
	18.05831423700596,
	20.914058478398942
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	281670.69613917277,
	-4439774.200092177,
	2.6195844120220367e-05,
	7001433.181880435,
	132.6994355152594
	],
	"pcov": [
	[
	21838912.42734073,
	-335130419.8860044,
	0.0016907761210454145,
	-226797154.1654448,
	4584.778334310923
	],
	[
	-335130419.8860044,
	5142766110.09987,
	-0.025973365999287852,
	3480330785.508118,
	-71169.41510577167
	],
	[
	0.0016907761210454147,
	-0.025973365999287852,
	1.048670267251407e-12,
	-0.017577220779456525,
	2.5806275646922168e-05
	],
	[
	-226797154.1654448,
	3480330785.508118,
	-0.017577220779456528,
	2355289374.8755956,
	-48161.26926459749
	],
	[
	4584.778334310923,
	-71169.41510577168,
	2.5806275646922168e-05,
	-48161.26926459749,
	744.356683577266
	]
	],
	"r2": 0.9924934400588964,
	"aic": 163.4588968053025,
	"residuals": [
	55.52394678543786,
	12.626630590220202,
	-21.443378591998425,
	-31.583445414553864,
	-23.680475802240665,
	-11.01591462061134,
	-9.907305294760533,
	-4.772279098656497,
	4.005066275700301,
	5.455873385223754,
	-9.724757693624156,
	13.065826737139787,
	21.296109555065755,
	-1.190239342784821,
	12.353980880648123,
	6.857660272121507,
	-7.885532540598888,
	-1.5930765924754269,
	6.296582906763547,
	4.686272293891307,
	-6.661056559639405,
	-12.258293309917349,
	-19.87498170943536,
	-13.907184844804533,
	-0.1549755141309106,
	15.6422778714944,
	17.781060147685253
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	676.0112548455702,
	-5734.510094032284,
	7.413309246388095e-06,
	9995.564547524255,
	-571.3467574418012
	],
	"pcov": [
	[
	36430.053500880014,
	-506048.35482532624,
	0.0007468145675275456,
	926532.1178823366,
	110735.76032295839
	],
	[
	-506048.3548253262,
	7255324.354225193,
	-0.011531044285526803,
	-12920369.688197182,
	-1758538.9272794728
	],
	[
	0.0007468145675275456,
	-0.011531044285526804,
	2.1330109603487436e-11,
	0.01908340639725573,
	0.0034067126122794456
	],
	[
	926532.1178823365,
	-12920369.688197182,
	0.01908340639725573,
	24007610.255686663,
	2848340.5227692975
	],
	[
	110735.76032295839,
	-1758538.9272794728,
	0.0034067126122794456,
	2848340.5227692975,
	552299.9081257199
	]
	],
	"r2": 0.9724960281006103,
	"aic": 198.5198313121501,
	"residuals": [
	81.89241704077381,
	22.64483268251638,
	-23.481493275329058,
	-48.35674879426301,
	-46.67515516704941,
	-34.894566654754954,
	-31.37603106046015,
	-21.890170086791727,
	-7.73266828268811,
	-0.49140838395737774,
	-4.400236522078558,
	27.839086816217787,
	42.95937952713666,
	24.680164473061723,
	39.9366947946321,
	33.9954867181782,
	11.31736131286334,
	4.625133333017402,
	-0.8686120968111481,
	-13.18845608139145,
	-30.825134164427027,
	-37.521920168442534,
	-40.94236919771083,
	-25.795005397619548,
	1.5684316970318832,
	34.74253184753786,
	42.7242082653197
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	2012.0835710349022,
	-21628.584745666343,
	1.857278580771599e-05,
	43869.01581489113,
	61.52002559908741
	],
	"pcov": null,
	"r2": 0.9899184916696976,
	"aic": 171.42188774412134,
	"residuals": [
	62.00615992338336,
	16.358515233102146,
	-19.975498729161846,
	-33.40961387561288,
	-27.475763480820177,
	-15.774808275179112,
	-14.881776845735203,
	-9.421156536380522,
	0.05756105932709943,
	2.4541159875286667,
	-10.493133731937803,
	14.539095158738974,
	24.690956212717992,
	3.6432831059800037,
	18.08809316601912,
	12.966937388875635,
	-2.7374182944761287,
	0.9035730674301021,
	5.669969451123507,
	1.3694107066565948,
	-11.688188903917478,
	-17.767827929993985,
	-24.606624271001238,
	-16.706116990361693,
	-0.048209405464831434,
	19.41400287419981,
	22.767744369275874
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	463.7260603093952,
	0.00012279706119349473,
	0.3969338060929715
	],
	"pcov": [
	[
	692.3759539970292,
	4.3920160689703513e-05,
	1.7114008628591093
	],
	[
	4.3920160689703513e-05,
	1.679731419139857e-10,
	7.805649150088137e-07
	],
	[
	1.7114008628591093,
	7.805649150088137e-07,
	0.014349565725962328
	]
	],
	"r2": 0.7714047782273576,
	"aic": 251.69563670782756,
	"residuals": [
	2.029409885406597,
	-0.24745004166272855,
	-2.144983023482112,
	29.947568884367946,
	56.01638557676236,
	69.08554405279429,
	58.6714600012381,
	45.50945168494525,
	33.55042330665327,
	15.272875651675747,
	-27.00254924190267,
	-7.359575668747766,
	21.563279808618177,
	36.708543960235374,
	95.03454211724693,
	131.95347241707293,
	173.51872560695955,
	154.93894468941846,
	99.41460116013297,
	37.33550041503884,
	-20.794245189242872,
	-66.4193454260647,
	-113.24501972471552,
	-145.2637786534039,
	-165.45854724861346,
	-178.21706359202386,
	-183.6472651189173
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	4.5024763621168003e+30,
	59.21841709716604,
	4.3576163899646363e-07,
	0.9985943485927509,
	70.01450448583323
	],
	"pcov": [
	[
	1.6302850966282904e-63,
	-2.8293912809009267e-33,
	-7.495957108646068e-40,
	1.9044855895368264e-35,
	-1.3932731881739605e-30
	],
	[
	-2.8293912809009267e-33,
	0.004983688533045538,
	1.2731402739636669e-09,
	-3.253089098911788e-05,
	2.3960355010151755
	],
	[
	-7.495957108646066e-40,
	1.2731402739636669e-09,
	4.143757544394524e-16,
	-9.341319511437594e-12,
	6.489770397201499e-07
	],
	[
	1.904485589536826e-35,
	-3.253089098911788e-05,
	-9.341319511437594e-12,
	2.3830918334712717e-07,
	-0.016433002082858496
	],
	[
	-1.3932731881739606e-30,
	2.396035501015176,
	6.489770397201499e-07,
	-0.0164330020828585,
	1197.3382016303453
	]
	],
	"r2": 0.9878796717545673,
	"aic": 175.09157926740994,
	"residuals": [
	63.763602205290724,
	21.897420212657764,
	-14.926656024479406,
	-38.704801296841396,
	-32.91731138679222,
	-19.148424123179268,
	-15.290696557637887,
	-9.692570103436935,
	0.10430385281256349,
	2.801729614077715,
	-10.368665699166513,
	14.15382083077293,
	27.02990380210406,
	4.527094790632532,
	18.6101060583685,
	14.871395553959132,
	-4.557433662623453,
	-2.642540536565207,
	4.684076894292048,
	3.9835030140765753,
	-15.025479547741668,
	-19.509463397079685,
	-23.839660138594866,
	-16.216774917828047,
	1.238308492556257,
	20.791522536175307,
	24.464496926843196
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	15538.525059436728,
	1.606338893107496,
	1.2924312054288595e-05,
	0.9711657815641449,
	31.45133272466859
	],
	"pcov": null,
	"r2": 0.9861691960490854,
	"aic": 178.65596298323564,
	"residuals": [
	66.1681532886424,
	23.21906556611895,
	-14.500271402356262,
	-39.58561043549459,
	-34.577062895398456,
	-21.177934044514984,
	-17.379678818345894,
	-11.61245307190859,
	-1.4850004188282924,
	1.6498152790926497,
	-10.49297620041267,
	15.062534733628581,
	28.825470551505987,
	6.983537319559673,
	21.470784847418372,
	17.881606825809286,
	-2.1118661110158428,
	-1.6120703938408951,
	4.0627566011205545,
	1.9483028635399364,
	-17.9401996192434,
	-22.630165905203853,
	-26.47128038907283,
	-17.720339815519537,
	1.4014211498557358,
	23.040268664657674,
	27.402257020708817
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	285228.76281003887,
	-4495154.651875788,
	2.595054428522049e-05,
	6985592.765543188,
	70.11055126270459
	],
	"pcov": [
	[
	33735017.49886738,
	-517206298.28101003,
	0.0028295515076137614,
	-355219270.0103422,
	15999.154960843834
	],
	[
	-517206298.28101003,
	7929517275.467247,
	-0.04342201654276522,
	5446022883.875744,
	-246574.54343458297
	],
	[
	0.0028295515076137614,
	-0.04342201654276522,
	1.5436515396112409e-12,
	-0.029822298590878493,
	3.9772178843198014e-05
	],
	[
	-355219270.0103422,
	5446022883.875744,
	-0.029822298590878493,
	3740349408.6003323,
	-169344.92238959993
	],
	[
	15999.154960843834,
	-246574.54343458297,
	3.977217884319802e-05,
	-169344.92238959993,
	1196.3628362833585
	]
	],
	"r2": 0.9878823253106249,
	"aic": 175.0856673930666,
	"residuals": [
	63.756853517646036,
	21.89170089949083,
	-14.931546444749586,
	-38.7085571070002,
	-32.92051295023572,
	-19.151528096364984,
	-15.294053345661439,
	-9.696439378938749,
	0.09973937922467258,
	2.796352002263461,
	-10.37581683889971,
	14.14495620422133,
	27.01959376043999,
	4.5157268023517645,
	18.598121254047328,
	14.859241208364665,
	-4.56828399194103,
	-2.6503781923142924,
	4.679892198892787,
	3.9826792567807843,
	-15.023901950865877,
	-19.50683291348321,
	-23.83747506754679,
	-16.216502876099185,
	1.2353519734765541,
	20.784244330205127,
	24.455746592623484
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	680.0761906415379,
	-5973.870600702559,
	9.145656886603224e-06,
	9999.999999999942,
	-386.82029044393033
	],
	"pcov": [
	[
	54448.61926803339,
	-683170.1292904018,
	0.0010336570784664485,
	1336161.150687389,
	94757.01619425244
	],
	[
	-683170.1292904018,
	8678044.245052163,
	-0.013794490152645621,
	-16779903.302576713,
	-1292619.58843411
	],
	[
	0.0010336570784664485,
	-0.013794490152645618,
	2.6262771803983908e-11,
	0.025167268434987445,
	0.002618968704491755
	],
	[
	1336161.1506873893,
	-16779903.302576717,
	0.025167268434987452,
	33383290.662528567,
	2316546.258663154
	],
	[
	94757.01619425246,
	-1292619.5884341102,
	0.0026189687044917555,
	2316546.258663154,
	267178.0026748404
	]
	],
	"r2": 0.9626098204880132,
	"aic": 205.50772799144258,
	"residuals": [
	99.04556538987612,
	38.7491887704025,
	-11.948526024283296,
	-53.442758691531594,
	-56.15231551160019,
	-44.98530412810118,
	-39.98617600231859,
	-30.93912100987592,
	-16.36242612161942,
	-8.225609903941006,
	-10.2424511939019,
	24.179453231450452,
	44.776086056114536,
	27.551602790761763,
	44.554375705739176,
	41.6353415975866,
	17.32143060544081,
	8.708962257237772,
	4.223318198240179,
	-6.618102269886606,
	-32.36567771684844,
	-39.375092904884184,
	-41.83961635128554,
	-28.185476034514124,
	-0.9927228797918701,
	31.43099575571847,
	39.48502336343148
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	2242.8417732312287,
	-24314.898523574277,
	1.898481495055219e-05,
	49414.16345351688,
	7.097909474234259
	],
	"pcov": null,
	"r2": 0.9846205230677285,
	"aic": 181.5216263153109,
	"residuals": [
	69.27170708741869,
	25.077157628004123,
	-13.671367298169955,
	-40.26764586029661,
	-36.183659246090116,
	-23.264892088279197,
	-19.616550132727923,
	-13.759504241459922,
	-3.3745211285284995,
	0.12869183134176865,
	-11.112746018533812,
	15.372582357938313,
	29.954308151390364,
	8.750533132626174,
	23.670325650804557,
	20.310720661207483,
	0.14687420555208064,
	-0.21082286077444223,
	4.367870374172355,
	1.2516426419228424,
	-19.34045802655129,
	-24.33829066942559,
	-28.069846379939634,
	-18.818815136198737,
	1.13927425083088,
	23.88409942855938,
	28.620107990745282
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	424.0566134030349,
	0.0001170772303123971,
	0.34271899359678587
	],
	"pcov": [
	[
	764.81934508053,
	3.336758933999326e-05,
	1.7454420544597302
	],
	[
	3.336758933999326e-05,
	1.4804679212924178e-10,
	6.051661244760396e-07
	],
	[
	1.7454420544597302,
	6.051661244760396e-07,
	0.013442483775327689
	]
	],
	"r2": 0.7265485337301376,
	"aic": 255.23006166124907,
	"residuals": [
	2.0878689289093018,
	0.5538085243566626,
	-3.3924567303147324,
	18.637683055948067,
	47.816015416806835,
	67.60125764809956,
	64.96498608424213,
	56.04901951453314,
	47.27920234827434,
	30.7001050444444,
	-13.204517452951848,
	0.776419707829973,
	26.566729276823594,
	36.376266581394816,
	93.89780339893719,
	135.2189142135794,
	186.96254326953886,
	170.38005797332352,
	104.85647442327053,
	30.66645735144482,
	-40.530875153155534,
	-83.45450243055194,
	-125.02722347244969,
	-156.70391003354263,
	-176.54798613819668,
	-188.32591050116503,
	-192.74314830277729
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.1895614694184996e+28,
	54.12553759618492,
	4.5009496725276955e-07,
	0.9995656347681356,
	-29.242880228447223
	],
	"pcov": [
	[
	1.632692505350527e-58,
	-1.3688666522149672e-30,
	-3.855278967760576e-37,
	9.826370421765832e-33,
	-5.964064688888429e-28
	],
	[
	-1.3688666522149672e-30,
	0.011615861981990728,
	3.1655646130416743e-09,
	-8.100346649910631e-05,
	4.963801368081472
	],
	[
	-3.855278967760576e-37,
	3.165564613041674e-09,
	1.070544261387572e-15,
	-2.4770818275639453e-11,
	1.425819690075016e-06
	],
	[
	9.82637042176583e-33,
	-8.10034664991063e-05,
	-2.4770818275639453e-11,
	6.379386474074653e-07,
	-0.03625759443122259
	],
	[
	-5.9640646888884296e-28,
	4.963801368081471,
	1.425819690075016e-06,
	-0.03625759443122259,
	2188.2065283477364
	]
	],
	"r2": 0.970790774446066,
	"aic": 184.0643106631535,
	"residuals": [
	61.76896148362776,
	31.947636450411597,
	4.343380011325802,
	-35.05930262395658,
	-44.51836328395218,
	-35.31656798022203,
	-27.618758338113963,
	-20.063270954814925,
	-6.161551927045991,
	2.7083316066095335,
	-4.32063908908583,
	18.38703835467703,
	44.33571261892706,
	10.183496959840625,
	18.20265508304385,
	11.818571714183804,
	-3.7786356198943167,
	-2.0651264694849942,
	4.077383524020149,
	5.8982065309849645,
	-15.816671142895814,
	-24.920320552981934,
	-28.73069531700446,
	-19.649025827413908,
	0.7769713048852509,
	24.151303520057,
	29.517509649022045
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	17056.708861889674,
	1.7685833521423986,
	1.1269603619582916e-05,
	0.9997096450617484,
	-59.911925259813806
	],
	"pcov": null,
	"r2": 0.9685420691929052,
	"aic": 186.06680671073295,
	"residuals": [
	62.9378119767314,
	32.53046830213121,
	4.442404731431665,
	-35.66317701759315,
	-45.533861147317594,
	-36.516218297704995,
	-28.828663818585113,
	-21.154282560822935,
	-7.041666457245697,
	2.1005094370697748,
	-4.294871519383605,
	19.05036864614476,
	45.550692055237846,
	11.814869174200453,
	20.094325696344185,
	13.813098996261147,
	-2.1222664075663147,
	-1.3110332535824227,
	3.743522296526635,
	4.600003994686347,
	-17.748981721661494,
	-27.0470463264773,
	-30.579771968735997,
	-20.77027779073441,
	0.7779798729378058,
	25.59561281035002,
	31.445564789978107
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	198430.4939468478,
	-3107004.8921310185,
	2.4506565070307015e-05,
	6310635.182744616,
	-29.140436676674074
	],
	"pcov": [
	[
	47601594.369558744,
	-733312923.4098786,
	0.004921390882279544,
	-385559480.5166298,
	30474.54057387794
	],
	[
	-733312923.4098787,
	11296847828.089663,
	-0.07589704141869932,
	5939629095.73624,
	-471803.19714236114
	],
	[
	0.004921390882279544,
	-0.07589704141869932,
	3.349911799893194e-12,
	-0.039904794104482846,
	8.006256855097005e-05
	],
	[
	-385559480.5166298,
	5939629095.736239,
	-0.03990479410448284,
	3122923697.9998555,
	-248058.76626527435
	],
	[
	30474.54057387794,
	-471803.19714236114,
	8.006256855097005e-05,
	-248058.76626527435,
	2186.2818240052056
	]
	],
	"r2": 0.970795588572359,
	"aic": 184.0598602842035,
	"residuals": [
	61.763188687030706,
	31.94245901829245,
	4.3386586402061695,
	-35.06347399886796,
	-44.52238381404338,
	-35.32074832792736,
	-27.623333009536196,
	-20.06840930928405,
	-6.167367984800023,
	2.7017704490959886,
	-4.328743870705921,
	18.377503147664754,
	44.325009055147234,
	10.171971021417448,
	18.190688048206653,
	11.806544670458266,
	-3.789350519357356,
	-2.0730810391800105,
	4.072739538339533,
	5.896626815070135,
	-15.816021076575453,
	-24.918636782856254,
	-28.72933467951566,
	-19.649348381341497,
	0.7737136271753968,
	24.144036602418126,
	29.508861972428136
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	514.0600534126381,
	-4331.882525687585,
	7.911495270206534e-06,
	9999.999999999998,
	-488.7736663764546
	],
	"pcov": [
	[
	54306.01733395336,
	-721776.2118607943,
	0.0013425561461661317,
	1757472.0487170443,
	135258.18752014727
	],
	[
	-721776.2118607945,
	9794706.747917723,
	-0.019340235398248008,
	-23369400.834443502,
	-1996372.308422918
	],
	[
	0.0013425561461661317,
	-0.019340235398248008,
	4.4539885154278665e-11,
	0.043105198004265884,
	0.004833453304667729
	],
	[
	1757472.0487170443,
	-23369400.834443502,
	0.043105198004265884,
	57917525.990611486,
	4357023.2871089615
	],
	[
	135258.18752014727,
	-1996372.308422918,
	0.004833453304667729,
	4357023.2871089615,
	533704.4089265373
	]
	],
	"r2": 0.933441093429304,
	"aic": 206.30158533574837,
	"residuals": [
	88.16868860938592,
	44.330105740472845,
	6.1406185679966825,
	-46.85249193891144,
	-62.90238132787971,
	-55.78278933387372,
	-47.27701707364457,
	-37.108149599271144,
	-19.529688644514692,
	-6.433372767359344,
	-4.678556284725062,
	25.977081082689836,
	58.280798437678925,
	28.6427060116269,
	39.359870417175046,
	34.02479598365193,
	15.432525866026992,
	9.290592591720213,
	6.082947849567688,
	-0.544148577450585,
	-28.306056373827744,
	-40.26142237047344,
	-43.44021958188529,
	-30.29627742919132,
	-2.6427658752325556,
	30.73936068309405,
	39.58499173598119
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	1865.130265772305,
	-20322.19597103523,
	1.801868599481138e-05,
	54535.306138301996,
	-83.05875063268215
	],
	"pcov": null,
	"r2": 0.9660502293804634,
	"aic": 188.12504301625498,
	"residuals": [
	65.19882936731776,
	33.867671686205256,
	5.01122315892232,
	-36.23374509735601,
	-46.8127088704135,
	-38.171418978452095,
	-30.608926999629347,
	-22.873667389352505,
	-8.56696900140264,
	0.8601672331841428,
	-4.820498783080666,
	19.283075453303127,
	46.471620823126614,
	13.292820868501622,
	21.971861916240528,
	15.929045090654085,
	-0.029471349481923426,
	0.1447803248463515,
	4.299853157052098,
	4.27517151081031,
	-18.750288138575797,
	-28.41811278376602,
	-31.976186496061672,
	-21.854115412122837,
	0.3107741765045091,
	26.00056659411044,
	32.153925683930794
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	286.85365143054736,
	0.00010751568173597647,
	0.27596321192014905
	],
	"pcov": [
	[
	484.9246160265767,
	6.807785842839295e-06,
	1.2202770627035602
	],
	[
	6.807785842839295e-06,
	1.1597104000291226e-10,
	3.819719603136876e-07
	],
	[
	1.22027706270356,
	3.819719603136876e-07,
	0.011292284190223215
	]
	],
	"r2": 0.6803502543313713,
	"aic": 244.66832437411688,
	"residuals": [
	2.1805601119995117,
	2.1528875574320168,
	-0.27046691827573,
	-1.9860298065913824,
	11.429527604281589,
	31.32030398297752,
	40.1847291736498,
	41.9789665094807,
	45.62593695589223,
	41.94674173970756,
	10.231955052005844,
	17.539634836410414,
	42.96252468383483,
	23.702397342891686,
	58.73600127944087,
	85.89734778449434,
	142.93939991036888,
	153.55166535916194,
	105.64273745148677,
	33.83003627809268,
	-44.54846521268564,
	-86.91329302979449,
	-114.2889360640109,
	-132.14685359543574,
	-143.9532413148239,
	-152.1899875496021,
	-155.2433477659826
	]
	}
	},
	{
	"original": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	2.4886583330385143e+22,
	41.505708284212595,
	7.034218239301154e-07,
	1.001141654893176,
	-35.70664411047606
	],
	"pcov": [
	[
	1.7985905067997535e-47,
	-3.067701287387365e-25,
	-1.6439557505504816e-31,
	2.7941200314030912e-27,
	-5.942773438948953e-23
	],
	[
	-3.067701287387365e-25,
	0.00527788729646687,
	2.702558280942745e-09,
	-4.585396162824953e-05,
	0.9957302320243957
	],
	[
	-1.6439557505504816e-31,
	2.702558280942745e-09,
	2.1074040142514053e-15,
	-3.1939003982626385e-11,
	5.829601658804565e-07
	],
	[
	2.794120031403092e-27,
	-4.585396162824954e-05,
	-3.1939003982626385e-11,
	5.94453542513025e-07,
	-0.009939398905631502
	],
	[
	-5.942773438948954e-23,
	0.9957302320243957,
	5.829601658804566e-07,
	-0.009939398905631502,
	203.36996885402124
	]
	],
	"r2": 0.9651783755262413,
	"aic": 142.68872621295256,
	"residuals": [
	12.497347021742396,
	-0.5266398322812336,
	-9.760717453992044,
	-9.653895331644023,
	-2.374413997181179,
	-1.6700788837800076,
	7.356438828686393,
	8.220756715687472,
	1.4399827722584888,
	0.8278017485458804,
	0.5913592882864691,
	5.059291071136158,
	-3.7953295676439893,
	-12.273721574869114,
	-7.24802462622921,
	-7.487859846556205,
	2.022742917813787,
	17.48274770858069,
	18.797904981514378,
	21.79580055276844,
	-15.776673313570555,
	-27.47170499994796,
	-19.130406217694343,
	-7.510960780000147,
	3.1890400829575114,
	11.520820037976947,
	13.926674681506952
	]
	},
	"original_regularized": {
	"param_names": [
	"A",
	"\u03bb",
	"\u03b3",
	"t0",
	"K"
	],
	"popt": [
	9488.697712193218,
	1.9403025196541424,
	1.2757979206009473e-05,
	1.0245410439094298,
	-42.64815710888744
	],
	"pcov": null,
	"r2": 0.9643852143105536,
	"aic": 143.29682813119902,
	"residuals": [
	13.45186831783083,
	0.03268503980118709,
	-9.528435063711626,
	-9.901001607608954,
	-2.911177308174075,
	-2.350725573217119,
	6.641487500147207,
	7.5514536429541295,
	0.8722038279193782,
	0.3980228058719888,
	0.48843300325358996,
	5.283180358519189,
	-3.294831622806015,
	-11.571619098310862,
	-6.4272790522979335,
	-6.628658612242646,
	2.6953360049198807,
	17.732903176513588,
	18.58323257176474,
	21.209141149172325,
	-16.569569432514243,
	-28.28140930496091,
	-19.776672186332867,
	-7.841348579295094,
	3.2911131862728737,
	12.135056736515168,
	14.70493284820136
	]
	},
	"reparam": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	70303.84255807,
	-1076559.050102126,
	2.943092075166332e-05,
	4471837.625373823,
	-35.65733744117262
	],
	"pcov": [
	[
	12587473.941435905,
	-192013907.77934203,
	0.004573467130181825,
	-49450128.14772313,
	16613.112775410384
	],
	[
	-192013907.77934203,
	2929050239.25285,
	-0.069784581160902,
	754330305.0991731,
	-253611.68273334132
	],
	[
	0.004573467130181825,
	-0.06978458116090201,
	3.876323286749092e-12,
	-0.0179718891781926,
	2.515983945924045e-05
	],
	[
	-49450128.14772313,
	754330305.0991731,
	-0.017971889178192597,
	194265773.10495174,
	-65313.46039587768
	],
	[
	16613.11277541038,
	-253611.68273334135,
	2.515983945924045e-05,
	-65313.46039587768,
	203.14342850485977
	]
	],
	"r2": 0.9651831352787269,
	"aic": 142.68503534260782,
	"residuals": [
	12.489419004244901,
	-0.5330593702389379,
	-9.765876890947617,
	-9.657182347139717,
	-2.3765475557936213,
	-1.6716264606880884,
	7.355038601050126,
	8.219174142330615,
	1.4379796394773336,
	0.8252160586311561,
	0.5873625378206953,
	5.053848815444923,
	-3.802017875609579,
	-12.281325167629234,
	-7.2561551145844305,
	-7.496122568982827,
	2.015642551472723,
	17.47820160620239,
	18.796322050640555,
	21.796800014876254,
	-15.773975179670032,
	-27.46842728883737,
	-19.12769753534328,
	-7.509862197569895,
	3.1876720298414796,
	11.516344444039241,
	13.921174406533964
	]
	},
	"reparam_hard_bounds": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	233.85577755826085,
	-2071.2117178150834,
	1.4008931393912895e-05,
	9999.999999999998,
	-104.77232398983442
	],
	"pcov": [
	[
	11834.719202789895,
	-132196.005842259,
	0.0005060724010589632,
	763679.2724301988,
	5995.576446852283
	],
	[
	-132196.005842259,
	1478223.6651719143,
	-0.005728155933293655,
	-8530371.648577826,
	-68530.8015083892
	],
	[
	0.0005060724010589632,
	-0.005728155933293655,
	2.6495790689441297e-11,
	0.03166849676380044,
	0.0003477563907562982
	],
	[
	763679.2724301987,
	-8530371.648577826,
	0.03166849676380043,
	50242889.7078374,
	372510.75819551595
	],
	[
	5995.576446852283,
	-68530.8015083892,
	0.0003477563907562982,
	372510.758195516,
	4824.043071143065
	]
	],
	"r2": 0.9512282293912696,
	"aic": 151.7853795788994,
	"residuals": [
	24.408868900354534,
	5.082512455062144,
	-8.83881721363069,
	-14.583490739327758,
	-9.962374259821857,
	-9.918574376926799,
	-0.3208681723829585,
	1.8418282104414772,
	-3.2509417300900623,
	-2.012703953769119,
	1.3813519338421543,
	8.88655916168966,
	2.2277158210999346,
	-4.925721548628928,
	0.6318767863701851,
	0.25606328207874185,
	7.41658702647652,
	19.195114259627147,
	16.905953046915258,
	17.19660722428044,
	-21.812600669669493,
	-33.59613123296633,
	-24.093183809516702,
	-10.25085299183776,
	3.509493042383397,
	15.514817927119509,
	19.11091159447406
	]
	},
	"reparam_regularized": {
	"param_names": [
	"A_1",
	"A_2",
	"\u03b2",
	"\u03c40",
	"K"
	],
	"popt": [
	603.2090664528411,
	-6263.609975839669,
	2.1036319911117514e-05,
	34650.86130116434,
	-55.12743076432649
	],
	"pcov": null,
	"r2": 0.9625087517919075,
	"aic": 144.6831875362885,
	"residuals": [
	15.662204578590135,
	1.229701162770155,
	-9.143637619695099,
	-10.646192255290785,
	-4.276378264361469,
	-3.9685329998452943,
	5.0291077220202425,
	6.118923724256845,
	-0.2696169934747559,
	-0.39015224927220515,
	0.46306829516873904,
	5.955745653112729,
	-2.0771363480700984,
	-9.992549999001767,
	-4.668653813470655,
	-4.85253474656065,
	3.9971590843848617,
	18.186957653845923,
	18.17651494644913,
	20.147612667329824,
	-17.97873200146509,
	-29.71043782714871,
	-20.925309053970494,
	-8.461080833923234,
	3.388633437690359,
	13.079176785957472,
	15.92016928818591
	]
	},
	"step2": {
	"param_names": [
	"K",
	"omega_n",
	"zeta"
	],
	"popt": [
	94.64536506561517,
	0.00013419729909442982,
	0.15043737630955537
	],
	"pcov": [
	[
	134.01619867141713,
	1.888990618844103e-05,
	0.46561542896602925
	],
	[
	1.8889906188441032e-05,
	1.5765785614731151e-10,
	3.494104972083087e-07
	],
	[
	0.46561542896602925,
	3.4941049720830865e-07,
	0.010464208937905489
	]
	],
	"r2": 0.3315726302261671,
	"aic": 218.46533346163037,
	"residuals": [
	2.316136360168457,
	2.9787555245058046,
	4.943813746857767,
	20.590061047508023,
	35.459980125647604,
	37.433238125832936,
	43.153143963489086,
	37.887275356214516,
	23.805172130179628,
	16.181740563525906,
	7.269396704726745,
	14.387790042501337,
	19.942151586738987,
	33.751665308919854,
	62.63469747130239,
	81.27790716735447,
	91.21920187659728,
	53.07841754550145,
	8.561817706134562,
	2.596088938474338,
	-34.086440972479735,
	-63.64278908677723,
	-84.47210098752227,
	-91.07792525378855,
	-83.90831614314436,
	-78.01645553434975,
	-77.7679849307759
	]
	}
	}
	]