PDE Solving on Darcy Flow 64x64 resolution
0.0561Relative L2 ErrorQuadNorm
Evaluation Results
| Method | Links | |
|---|---|---|
| QuadNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0561 | |
| BlendQuadNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0663 | |
| LayerNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0687 | |
| GroupNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0702 | |
| RMSNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0731 | |
| InstanceNormTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.0777 | |
| NoneTraining Resolution=32^2, Evaluation Resolution=64^2, Refinement Ratio=22026.05 | 0.079 | |
| LayerNormNormalization=LayerNorm2026.05 | 2.65 | |
| BlendQuadNormNormalization=BlendQuadNorm2026.05 | 2.65 | |
| GroupNormNormalization=GroupNorm2026.05 | 2.76 | |
| NoneNormalization=None2026.05 | 3.02 | |
| RMSNormNormalization=RMSNorm2026.05 | 3.07 | |
| InstanceNormNormalization=InstanceNorm2026.05 | 3.82 | |
| QuadNormNormalization=QuadNorm2026.05 | 3.86 | |
| QuadNormArchitecture=FNO, Training Resolution=32^22026.05 | 5.23 | |
| BlendQuadNormArchitecture=FNO, Training Resolution=32^22026.05 | 7 | |
| LayerNormArchitecture=FNO, Training Resolution=32^22026.05 | 7.08 | |
| BlendQuadNorm, α = 0.1Architecture=FNO, Training Resolution=32^22026.05 | 7.1 | |
| NoneArchitecture=FNO, Training Resolution=32^22026.05 | 7.74 | |
| QuadNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 7.94 | |
| BlendQuadNorm, α = 0.1Architecture=Galerkin, Training Resolution=32^22026.05 | 9.66 | |
| BlendQuadNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 9.7 | |
| LayerNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 9.8 | |
| NoneArchitecture=Galerkin, Training Resolution=32^22026.05 | 10.8 | |
| SpectralNormNormalization=SpectralNorm2026.05 | 12.43 | |
| QuadBandNormNormalization=QuadBandNorm2026.05 | 38.31 | |
| RI-BandNormNormalization=RI-BandNorm2026.05 | 38.46 |