PDE Solving on Darcy Flow 32x32 resolution
0.0326Relative L2 ErrorLayerNorm
Evaluation Results
| Method | Links | |
|---|---|---|
| LayerNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0326 | |
| BlendQuadNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0327 | |
| GroupNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0336 | |
| NoneTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0349 | |
| RMSNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0359 | |
| InstanceNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0427 | |
| QuadNormTraining Resolution=32^2, Evaluation Resolution=32^2, Refinement Ratio=12026.05 | 0.0435 | |
| LayerNormArchitecture=FNO, Training Resolution=32^22026.05 | 3.13 | |
| BlendQuadNormArchitecture=FNO, Training Resolution=32^22026.05 | 3.13 | |
| BlendQuadNorm, α = 0.1Architecture=FNO, Training Resolution=32^22026.05 | 3.14 | |
| NoneArchitecture=FNO, Training Resolution=32^22026.05 | 3.32 | |
| QuadNormArchitecture=FNO, Training Resolution=32^22026.05 | 4.03 | |
| QuadNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 7.58 | |
| LayerNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 8.26 | |
| BlendQuadNorm, α = 0.1Architecture=Galerkin, Training Resolution=32^22026.05 | 8.3 | |
| BlendQuadNormArchitecture=Galerkin, Training Resolution=32^22026.05 | 8.32 | |
| NoneArchitecture=Galerkin, Training Resolution=32^22026.05 | 9.31 |