SOTA Operator learning benchmarks and papers with code

Benchmarks

Dataset Name	SOTA Method	Metric
PDEBench SWE	AOT-POT-M	L2 Relative Error (L2RE)0.0007	28	16d ago
PDEBench DR	AOT-POT-M	L2RE0.0064	28	16d ago
Darcy Flow 512x512 grid sub-sampled (test)	MWT Leg	Relative L2 Error0.0065	28	3mo ago
CFDBench	AOT-POT-M	L2RE0.0022	25	16d ago
PDEArena NS-cond	AOT-POT-M	L2RE0.152	25	16d ago
PDEArena NS	AOT-POT-M	L2RE2.36	25	16d ago
PDEBench CNS (η=0.1, ζ=0.01)	AOT-POT-M	L2 Relative Error0.0032	25	16d ago
PDEBench CNS (η=0.1, ζ=0.1)	AOT-POT-M	L2 Relative Error (L2RE)0.0079	25	16d ago
PDEBench CNS (η=1, ζ=0.01)	AOT-POT-S	L2RE0.491	25	16d ago
PDEBench CNS (η=1, ζ=0.1)	AOT-POT-S	L2RE0.0043	25	16d ago
FNO-ν 1e-3	AOT-POT-M	L2RE0.0018	25	16d ago
FNO-ν (1e-4)	AOT-POT-M	L2RE0.0061	25	16d ago
FNO-ν 1e-5	AOT-POT-M	L2 Relative Error1.45	25	16d ago
1D Kuramoto-Sivashinsky ν = 0.075 (test)	SS-NO	Time (ms)0.8	25	2mo ago
Synthetic Dataset	GCLSS	MAE0.01	24	3mo ago
Darcy Regular Grid (test)	Transolver	Relative L2 Error0.0057	15	3mo ago
Navier-Stokes Regular Grid (test)	MSPT	Relative L2 Error0.0632	15	3mo ago
Pipe Structured Mesh (test)	MSPT	Relative L2 Error0.0031	15	3mo ago
Airfoil (Structured Mesh) (test)	MSPT	Relative L2 Error0.0051	15	3mo ago
Plasticity Structured Mesh (test)	Erwin	Relative L2 Error0.001	15	3mo ago
Elasticity Point Cloud (test)	Erwin	Relative L2 Error0.0034	13	3mo ago
Darcy Flow beta = 1 (test)	OFormer	RMSE0.0054	12	2mo ago
viscous Burgers' equation n=512	Fourier Transformer	Relative Error0.0011	12	3mo ago
viscous Burgers' equation n=8192	Galerkin Transformer	Relative Error (x10^-3)0.001	10	3mo ago
viscous Burgers' equation n=2048	Fourier Transformer	Relative Error0.0011	10	3mo ago

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