SOTA Operator learning benchmarks and papers with code

Benchmarks

Dataset Name	SOTA Method	Metric
Darcy Flow 512x512 grid sub-sampled (test)	MWT Leg	Relative L2 Error0.0065	28	1mo ago
1D Kuramoto-Sivashinsky ν = 0.075 (test)	SS-NO	Time (ms)0.8	25	1mo ago
Synthetic Dataset	GCLSS	MAE0.01	24	1mo ago
Darcy Regular Grid (test)	Transolver	Relative L2 Error0.0057	15	1mo ago
Navier-Stokes Regular Grid (test)	MSPT	Relative L2 Error0.0632	15	1mo ago
Pipe Structured Mesh (test)	MSPT	Relative L2 Error0.0031	15	1mo ago
Airfoil (Structured Mesh) (test)	MSPT	Relative L2 Error0.0051	15	1mo ago
Plasticity Structured Mesh (test)	Erwin	Relative L2 Error0.001	15	1mo ago
Elasticity Point Cloud (test)	Erwin	Relative L2 Error0.0034	13	1mo ago
Darcy Flow beta = 1 (test)	OFormer	RMSE0.0054	12	1mo ago
viscous Burgers' equation n=512	Fourier Transformer	Relative Error0.0011	12	1mo ago
viscous Burgers' equation n=8192	Galerkin Transformer	Relative Error (x10^-3)0.001	10	1mo ago
viscous Burgers' equation n=2048	Fourier Transformer	Relative Error0.0011	10	1mo ago
Darcy interface problem nf=211, nc=61 (test)	Galerkin Transformer	Relative Error0.844	10	1mo ago
Darcy interface problem nf=141, nc=43 (test)	Fourier Transformer	Relative Error (x10^-2)0.0084	10	1mo ago
Compressible Euler RPB (Out)	CNO	Relative Median L1 Error0.59	7	1mo ago
Compressible Euler RPB (In)	CNO	Relative Median L1 Error0.35	7	1mo ago
Darcy Flow RPB (Out)	CNO	Rel. Median L1 Error0.5	7	1mo ago
Darcy Flow RPB (In)	CNO	Relative Median L1 Error0.38	7	1mo ago
Navier-Stokes Equations RPB (Out)	CNO	Relative Median L1 Test Error7.04	7	1mo ago
Navier-Stokes Equations In RPB	CNO	Relative Median L1 Error2.76	7	1mo ago
Allen-Cahn Equation RPB (Out)	FNO	Relative Median L1 Error1.1	7	1mo ago
Allen-Cahn Equation RPB (In)	FNO	Relative Median L1 Error0.28	7	1mo ago
Discontinuous Transport RPB (Out)	CNO	Relative Median L1 Error1.09	7	1mo ago
Discontinuous Transport In RPB	ResNet	Rel Median L1 Error1.01	7	1mo ago

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