| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Regression | heat | MAE0.004 | 12 | |
| Regression | heat | R20.9992 | 12 | |
| Regression | heat | RMSE0.0064 | 12 | |
| Sensor-Space Imputation | Heat Synthetic PDE | RMSE0.0979 | 9 | |
| Global field reconstruction | Heat Synthetic PDE | RMSE0.1771 | 9 | |
| PDE Solving | Heat 2d+time (test) | Rel. MSE0.0023 | 9 | |
| PDE Discovery | Heat | F1 Score100 | 8 | |
| PDE solving | Heat 100D (test) | MSE0.0037 | 5 | |
| Data assimilation | Heat | MAE0.0428 | 4 | |
| Data assimilation | Heat | fMSE-M0.74 | 4 | |
| Data assimilation | Heat | fMSE-H0.0975 | 4 | |
| Data assimilation | Heat | L2RE0.0326 | 4 | |
| Data assimilation | Heat | L1RE1.35 | 4 | |
| Data assimilation | Heat | MSE0.0006 | 4 | |
| Data assimilation | Heat | fMSE-L16.6 | 4 |