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PDE Reconstruction

Benchmarks

Dataset Name	SOTA Method	Metric
Helmholtz synthetic (test)	LatentPDE-Enc	RMSE0.022	10	1mo ago
Klein-Gordon synthetic (test)	LatentPDE-MAP	RMSE0.601	10	1mo ago
Poisson 3% uniformly random measurements	Ambient Flow	Coefficient Rel L2 Error (%)7.81	10	3mo ago
Navier-Stokes 3% uniformly random measurements	Ambient Flow	Coefficient Relative L2 Error6.38	10	3mo ago
Helmholtz 3% uniformly random measurements	Ambient Flow	Coefficient Relative L2 Error7.67	10	3mo ago
Darcy Flow 3% uniformly random measurements	Ambient Flow	Coefficient Rel L2 Error2.07	10	3mo ago
PDEBench Compressible Navier-Stokes High (PB-CNSH)	DPOT-30M	L2 Relative Error2.45	7	1mo ago
PDEBench Compressible Navier-Stokes Low (PB-CNSL)	DPOT-30M	L2 Relative Error1.53	7	1mo ago
PDEArena Navier-Stokes	P2VAE-87M	L2 Reconstruction Error (L2RE)5.82	7	1mo ago
Advection-Diffusion homogeneous case (test)	LatentPDE-MAP	RMSE0.08	5	1mo ago
Advection-Diffusion synthetic (test)	LatentPDE-Enc	RMSE0.103	5	1mo ago
The Well Viscous Elastic	P2VAE-87M	VRMSE0.1568	5	1mo ago
The Well Turbulence	CNextU-net*	VRMSE0.1956	5	1mo ago
The Well Scalar Flow (W-SF)	P2VAE-87M	VRMSE0.1453	5	1mo ago
The Well Rayleigh-Bénard	P2VAE-87M	VRMSE0.1886	5	1mo ago
The Well Shallow Water Equations (W-SWE)	P2VAE-87M	VRMSE0.0951	5	1mo ago
The Well Gray-Scott	FNO*	Volume RMSE0.1365	5	1mo ago
The Well Acoustic Medium (W-AM)	CNextU-net*	VRMSE10.34	5	1mo ago
PDEArena Navier-Stokes Compressible (PA-NSC)	P2VAE-87M	L2 Relative Error (L2RE)0.0527	5	1mo ago
PDEBench Shallow Water Equations	DPOT-30M	L2RE0.0066	4	1mo ago
PDE Data high resolution 512x512 (train)	Phaedra	nMAE1.2	4	3mo ago
PDEArena Shallow Water Equations	P2VAE-87M	L2RE0.1039	2	1mo ago

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