| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE solving | Shallow Water 3D (test) | Relative MSE Loss0.0046 | 18 | |
| Temporal Extrapolation | Shallow-Water (Out-t) | MSE0.0006 | 15 | |
| Temporal Extrapolation | Shallow-Water (In-t) | MSE0 | 15 | |
| Forward Generation | Shallow-Water (test) | Relative MSE0.0196 | 12 | |
| Reconstruction | Shallow-Water (test) | Relative MSE0.0178 | 12 | |
| PDE dynamics forecasting | Shallow Water OOD | nMSE0 | 6 | |
| PDE dynamics forecasting | Shallow Water (ID) | nMSE0 | 6 | |
| State Forecasting | Shallow Water | MSE0.0206 | 5 | |
| Spatio-temporal forecasting | Shallow Water (test) | MSE1.82 | 4 |