Poisson
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Inverse problem | Poisson | PDE Residual0.44 | 21 | |
| PDE Solving | Poisson | L2 Error0.0044 | 13 | |
| PDE Forward Problem | Poisson Noisy | L2 Relative Error6.52 | 12 | |
| Temporal Point Process modeling | Poisson synthetic (test) | NLL0.9945 | 11 | |
| PDE Reconstruction | Poisson 3% uniformly random measurements | Coefficient Rel L2 Error (%)7.81 | 10 | |
| Inverse PDE solving | Poisson Full Observation | L2 Relative Error10.2 | 9 | |
| Forward PDE solving | Poisson Full Observation | L2 Relative Error0.7 | 9 | |
| Forward PDE Solving | Poisson (test) | Relative H1 Error0.181 | 9 | |
| Forward problem | Poisson | PDE Residual0.87 | 9 | |
| PDE Inverse Problem | Poisson Noisy | L2 Relative Error41.14 | 7 | |
| PDE solving | Poisson 2D (test) | Test Error0 | 6 | |
| Conditional source inference | Poisson 256 samples (test) | Relative L2 Error0.399 | 6 | |
| PDE Solving | Poisson Neumann BC | Test Error0.0002 | 5 | |
| Inverse | Poisson 30% noise corruption 1.0 (test) | L2 Relative Error32.16 | 5 | |
| Forward | Poisson 30% noise corruption 1.0 (test) | L2 Relative Error0.1122 | 5 | |
| Inverse PDE Solving | Poisson 10% noise corruption | L2 Relative Error27.12 | 5 | |
| Inverse | Poisson 50% pixels noise | L2 Relative Error0.3549 | 5 | |
| Forward | Poisson 50% pixels noise | L2 Relative Error12.71 | 5 | |
| Inverse | Poisson 90% pixels corrupted by noise | L2 Relative Error40.34 | 5 | |
| Forward | Poisson 90% pixels corrupted by noise | L2 Relative Error15.69 | 5 | |
| Forward Problem | Poisson (test) | RE0.67 | 5 | |
| Inverse PDE solving | Poisson | Relative Error20 | 5 | |
| Forward PDE solving | Poisson | Relative Error4.5 | 5 | |
| Inverse PDE solving | Poisson full observations | Relative Error9.8 | 5 | |
| Forward PDE solving | Poisson full observations | Relative Error2.7 | 5 |
Showing 25 of 33 rows