PDE Inverse Problems on Darcy Flow
0.0107CRPSFAPS-UNet
Evaluation results
| Method | Links | |||||
|---|---|---|---|---|---|---|
| FAPS-UNetResolution=128 × 128, Observations=128 noisy pointwise, Architecture=standard finite-dimensional grid-based prior2026.06 | 0.0107 | 1.1 | 21.4 | 0.538 | 0.874 | |
| FAPS-FNOResolution=128 × 128, Observations=128 noisy pointwise, Architecture=infinite-dimensional function-space neural operator2026.06 | 0.0108 | 1.08 | 21.5 | 0.557 | 0.866 | |
| FunDPSResolution=128 × 128, Observations=128 noisy pointwise2026.06 | 0.0124 | 1.09 | 20.2 | 0.471 | 0.992 | |
| DDISResolution=128 × 128, Observations=128 noisy pointwise2026.06 | 0.0167 | 1.15 | 19.2 | 0.286 | 0.112 | |
| DiffusionPDEResolution=128 × 128, Observations=128 noisy pointwise2026.06 | 0.0525 | 1.02 | 24.6 | 0.761 | 0.606 |