SOTA Inverse Problem benchmarks and papers with code

Benchmarks

Dataset Name	SOTA Method	Metric
Poisson	PISD	PDE Residual0.44	21	5mo ago
2D Navier-Stokes (test)		Average Relative Error22.71	16	2mo ago
InverseBench Navier-Stokes (sigma_noise=2.0) (test)	Blade (diag)	Relative L2 Error0.217	13	1mo ago
InverseBench Navier-Stokes (sigma_noise=1.0) (test)	Blade (diag)	Relative L2 Error0.162	13	1mo ago
InverseBench Navier-Stokes (sigma_noise=0) (test)	Blade (diag)	Relative L2 Error0.08	13	1mo ago
Darcy Flow 97% Sparse Observation	FunDPS	L2 Relative Error5.18	9	5mo ago
Helmholtz	PISD	PDE Residual0.2	9	5mo ago
1D BVP (val)	DeepGaLA	L2 Norm Error1.18	8	1mo ago
2D advection–diffusion High-Péclet	TGSR-PINN	L2 Error8	7	18d ago
High-Péclet 2D advection-diffusion	TGSR-PINN	Best α Error0.38	7	18d ago
Navier-Stokes equation S=500 1.0 (test)		Minimum Error0.267	7	4mo ago
Navier-Stokes equation S=250 1.0 (test)	Proposed (II)	Best Error0.295	7	4mo ago
1D Burgers cross-PDE transfer from Allen-Cahn (target task)	Full FT	L2 Error0.26	6	18d ago
2D Reaction-Diffusion 5% noise target task	TGSR-PINN	L2 Mean Error21.9	6	18d ago
1D Darcy Flow d=64	VF	Relative Inversion Error (1% Noise)0.2073	5	1mo ago
1D Darcy Flow d=32	VF	Relative Inversion Error (1% Noise)22.92	5	1mo ago
Navier-Stokes 97% Sparse Observation	FunDPS	L2 Relative Error7.91	5	5mo ago
Darcy (test)	ProFlow	Relative Error2.41	5	5mo ago
Helmholtz (test)	D-Flow	RE1.64	5	5mo ago
EIT	CORAL	Latency (ms)4.99	4	23d ago
Poisson (test)	D-Flow	Relative Error (RE)2.96	4	5mo ago
Inverse MNIST	nGEM	Negative Log Likelihood-1,529.7	2	5mo ago

Showing 22 of 22 rows