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	2mo ago
PDEBench DR	AOT-POT-M	L2RE0.0064	28	2mo ago
Darcy Flow 512x512 grid sub-sampled (test)	MWT Leg	Relative L2 Error0.0065	28	4mo ago
CFDBench	AOT-POT-M	L2RE0.0022	25	2mo ago
PDEArena NS-cond	AOT-POT-M	L2RE0.152	25	2mo ago
PDEArena NS	AOT-POT-M	L2RE2.36	25	2mo ago
PDEBench CNS (η=0.1, ζ=0.01)	AOT-POT-M	L2 Relative Error0.0032	25	2mo ago
PDEBench CNS (η=0.1, ζ=0.1)	AOT-POT-M	L2 Relative Error (L2RE)0.0079	25	2mo ago
PDEBench CNS (η=1, ζ=0.01)	AOT-POT-S	L2RE0.491	25	2mo ago
PDEBench CNS (η=1, ζ=0.1)	AOT-POT-S	L2RE0.0043	25	2mo ago
FNO-ν 1e-3	AOT-POT-M	L2RE0.0018	25	2mo ago
FNO-ν (1e-4)	AOT-POT-M	L2RE0.0061	25	2mo ago
FNO-ν 1e-5	AOT-POT-M	L2 Relative Error1.45	25	2mo ago
1D Kuramoto-Sivashinsky ν = 0.075 (test)	SS-NO	Time (ms)0.8	25	4mo ago
Synthetic Dataset	GCLSS	MAE0.01	24	4mo ago
MFC g-parameter family (OOD)	CHOP	Mean relative L2 Error0.006	18	1mo ago
Darcy Regular Grid (test)	Transolver	Relative L2 Error0.0057	15	4mo ago
Navier-Stokes Regular Grid (test)	MSPT	Relative L2 Error0.0632	15	4mo ago
Pipe Structured Mesh (test)	MSPT	Relative L2 Error0.0031	15	4mo ago
Airfoil (Structured Mesh) (test)	MSPT	Relative L2 Error0.0051	15	4mo ago
Plasticity Structured Mesh (test)	Erwin	Relative L2 Error0.001	15	4mo ago
Elasticity Point Cloud (test)	Erwin	Relative L2 Error0.0034	13	4mo ago
MFC rho-parameter family (OOD)	Raw ICON	Mean Relative L2 Error0.004	12	1mo ago
Darcy Flow beta = 1 (test)	OFormer	RMSE0.0054	12	4mo ago
viscous Burgers' equation n=512	Fourier Transformer	Relative Error0.0011	12	4mo ago

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