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Parameter Estimation

Benchmarks

Dataset Name	SOTA Method	Metric
SNIC regime 1% noise 1.0 (test)		Parameter Estimate Deviation-1.225	56	1mo ago
Morris-Lecar model Homoclinic regime (1% noise)		Estimated Parameter Value29.426	56	1mo ago
Brock–Hommes problems (test)	ANTR	Parameter Estimation Error (Mean)0.0003	40	1mo ago
Engine Gas Flow Dynamics Clean online normalized scale 0-1 (test)	few-shot transfer learning scheme	A_egrmax1.0312	15	1mo ago
Multiscale Lorenz-96 (test)	h_theta w/ EMBED & EMULATE	Mean AP Error (F)6.3	11	1mo ago
Synthetic Dataset 60% MNAR (test)	AV-LR	RMSE (Imputed)0.8624	7	25d ago
Synthetic Data 30% MCAR mechanism	AV-LR	RMSE (Imp)0.7145	7	25d ago
Morris-Lecar SNIC 5% noise 1.0 (test)		gL Relative Error0.8	7	1mo ago
Morris-Lecar Hopf regime 5% noise (test)		gL Relative Error1.857	7	1mo ago
High dimensional simulated data synthetic (train)	Inc. MM	MSE2,809	6	1mo ago
PBPK concentration profiles	PBPK-iPINN	PINN Value0.0213	6	1mo ago
Gaussian data eps=20% (synthetic)	HD	Median MSE(sigma)0.226	6	1mo ago
Gaussian data eps=10% (synthetic)	Approx. HD	Median MSE(sigma)0.007	6	1mo ago
Gaussian data eps=5% (synthetic)	Approx. HD	Median MSE(sigma)0	6	1mo ago
Gaussian data eps=0% (synthetic)		Median MSE(sigma)0	6	1mo ago
Synthetic MoE regression problem data-driven initialization	Inc. MM	MSE0.014	6	1mo ago
Engine Gas Flow Dynamics Noisy normalized scale 0-1 (online test)	multi-stage transfer learning scheme	A_egrmax1.004	5	1mo ago
CEST Phantom MTRrex model (test)	transformer-based neural network	Mean Runtime (ms)8.99	5	1mo ago
CEST Phantom analytical Z model (test)	transformer-based neural network	Mean Runtime (ms)8.64	5	1mo ago
CEST Phantom Lorentzian model (test)	transformer-based neural network	Mean Runtime (ms)9.04	5	1mo ago
Kuramoto-Sivashinsky Equation (KSE) (test)	EMBED & EMULATE	MAPE (lambda_2)0.0324	5	1mo ago
PGPS model	NCS	Theta 10.935	4	1mo ago
Birth-death-migration ABM Rp=4.91 IC=0.05 1.0	OAT ME-EQL	Relative Rp Error12.1	3	25d ago
Birth-death-migration ABM Rp=2.51, IC=0.05 1.0	OAT ME-EQL	Relative Rp Error0.142	3	25d ago
Birth-death-migration ABM Rp=0.01 IC=0.05 1.0	Mean-field	Relative Rp Error0.081	3	25d ago

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