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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	4mo ago
Morris-Lecar model Homoclinic regime (1% noise)		Estimated Parameter Value29.426	56	4mo ago
Brock–Hommes problems (test)	ANTR	Parameter Estimation Error (Mean)0.0003	40	4mo ago
Synthetic AR(5) stationary process 1M sample size (test)	Neural-Unif	MSE0.0398	30	26d ago
Engine Gas Flow Dynamics Clean online normalized scale 0-1 (test)	few-shot transfer learning scheme	A_egrmax1.0312	15	4mo ago
Multiscale Lorenz-96 (test)	h_theta w/ EMBED & EMULATE	Mean AP Error (F)6.3	11	4mo ago
Pendulum 90cm	Delfys	Length (m)1.07	9	2mo ago
OU (Ornstein-Uhlenbeck) synthetic processes	Ours-TLLd6	Sigma Error0.06	7	1mo ago
log-fBM synthetic processes	Ours-TLLd6	Sigma Error0.09	7	1mo ago
log-GBM processes (synthetic)	Ours-TLLd6	Sigma Error0.06	7	1mo ago
Synthetic Dataset 60% MNAR (test)	AV-LR	RMSE (Imputed)0.8624	7	4mo ago
Synthetic Data 30% MCAR mechanism	AV-LR	RMSE (Imp)0.7145	7	4mo ago
Morris-Lecar SNIC 5% noise 1.0 (test)		gL Relative Error0.8	7	4mo ago
Morris-Lecar Hopf regime 5% noise (test)		gL Relative Error1.857	7	4mo ago
Advection-diffusion system	APIC-LNP	Kappa MAE0.004	6	1mo ago
von Mises-Fisher distribution ϵ = 0.20 contamination	γ-SME	Integrated RMSE0.73	6	2mo ago
von Mises-Fisher distribution ϵ = 0.10 contamination	γ-SME	Integrated RMSE0.55	6	2mo ago
von Mises-Fisher distribution ϵ = 0.05 contamination	γ-SME	Integrated RMSE0.56	6	2mo ago
von Mises-Fisher distribution ϵ = 0.00 contamination		Integrated RMSE0.45	6	2mo ago
Delfys Sliding Block High	Delfys	Estimated Acceleration (m/s^2)3.44	6	2mo ago
Delfys Sliding Block Med	Delfys	Acceleration (m/s^2)2.7	6	2mo ago
Delfys Sliding Block Low	PySINDy	Acceleration (m/s^2)2.13	6	2mo ago
Delfys Torricelli Large	PAIG	k [sqrt(m)/s]0.97	6	2mo ago
Delfys Torricelli Med	PAIG	Parameter k (sqrt(m)/s)0.99	6	2mo ago
Delfys Torricelli Small	PAIG	k [sqrt(m)/s]0.99	6	2mo ago

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