Inverse PDE solving on Darcy Flow
1.3Relative ErrorDi-BiLPS
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Di-BiLPS2026.05 | 1.3 | 36.04 | |
| DiffusionPDEObservation mode=Sparse (5/128 points)2024.06 | 3.2 | — | |
| DiffPDE2026.05 | 3.2 | 255.74 | |
| FM4PDEnumber of steps=1000, number of observations=5002026.05 | 17.76 | — | |
| DiffusionPDEnumber of steps=1000, number of observations=5002026.05 | 35.83 | — | |
| DeepONetObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 41.1 | — | |
| DeepONet2026.05 | 41.1 | — | |
| PINOObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 49.2 | — | |
| PINO2026.05 | 49.2 | — | |
| FNOObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 49.3 | — | |
| FNO2026.05 | 49.3 | — | |
| PINNsObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 59.7 | — | |
| PINNs2026.05 | 59.7 | — |