Parameter Estimation

Benchmarks

Dataset Name	SOTA Method	Metric
Brock–Hommes problems (test)	ANTR	Parameter Estimation Error (Mean)0.0003	40	4d ago
Multiscale Lorenz-96 (test)	h_theta w/ EMBED & EMULATE	Mean AP Error (F)6.3	11	4d ago
High dimensional simulated data synthetic (train)	Inc. MM	MSE2,809	6	3d ago
PBPK concentration profiles	PBPK-iPINN	PINN Value0.0213	6	4d ago
Gaussian data eps=20% (synthetic)	HD	Median MSE(sigma)0.226	6	4d ago
Gaussian data eps=10% (synthetic)	Approx. HD	Median MSE(sigma)0.007	6	4d ago
Gaussian data eps=5% (synthetic)	Approx. HD	Median MSE(sigma)0	6	4d ago
Gaussian data eps=0% (synthetic)		Median MSE(sigma)0	6	4d ago
Synthetic MoE regression problem data-driven initialization	Inc. MM	MSE0.014	6	3d ago
CEST Phantom MTRrex model (test)	transformer-based neural network	Mean Runtime (ms)8.99	5	4d ago
CEST Phantom analytical Z model (test)	transformer-based neural network	Mean Runtime (ms)8.64	5	4d ago
CEST Phantom Lorentzian model (test)	transformer-based neural network	Mean Runtime (ms)9.04	5	4d ago
Kuramoto-Sivashinsky Equation (KSE) (test)	EMBED & EMULATE	MAPE (lambda_2)0.0324	5	4d ago
PGPS model	NCS	Theta 10.935	4	4d ago
Synthetic Data Two-parameter model 21	Ours	MSE ($ heta_1$)0.0002	2	4d ago
Synthetic Fractional Poisson Process (FPP) data 1000 paths of length 30	RNN (LSTM)	MSE0.6737	2	4d ago
Toy MNIST (simulation)	Hyper-G-DPS	iota Estimate0.82	1	4d ago
Gaussian data eps=1% (synthetic)	-	-	0	4d ago
High dimensional simulated data	-	MSE-	0	4d ago

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