Inverse PDE solving on Poisson
0.123Relative ErrorDi-BiLPS
Evaluation results
| Method | Links | ||
|---|---|---|---|
| Di-BiLPS2026.05 | 0.123 | 19.59 | |
| DiffPDE2026.05 | 0.2 | 254.22 | |
| DeepONet2026.05 | 1.058 | — | |
| PINNs2026.05 | 1.3 | — | |
| PINO2026.05 | 2.319 | — | |
| FNO2026.05 | 2.327 | — | |
| DiffusionPDEObservation mode=Sparse (5/128 points)2024.06 | 20 | — | |
| FM4PDEnumber of steps=1000, number of observations=5002026.05 | 24.82 | — | |
| DiffusionPDEnumber of steps=1000, number of observations=5002026.05 | 56.54 | — | |
| DeepONetObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 105.8 | — | |
| PINNsObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 130 | — | |
| PINOObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 231.9 | — | |
| FNOObservation mode=Sparse (5/128 points), Training setup=Full observation2024.06 | 232.7 | — |