| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Solving | Airfoil Structured Mesh (test) | Relative L2 Error0.0041 | 38 | |
| Forward PDE solving | Airfoil | Relative L20.43 | 36 | |
| Regression | airfoil | NCIW0.173 | 27 | |
| Regression | Airfoil UCIrvine | 1-RAE0.2201 | 24 | |
| Regression | Airfoil | MSE0.2528 | 18 | |
| Conformal Prediction | airfoil | CMC (%)1.6 | 16 | |
| Regression | Airfoil UCIrvine (5-fold cross-validation) | 1-RAE0.2201 | 16 | |
| Operator Learning | Airfoil (Structured Mesh) (test) | Relative L2 Error0.0051 | 15 | |
| Regression | Airfoil | RMSE2.717 | 14 | |
| Black-box optimization | Airfoil Small | Final Cumulative Regret0.014 | 13 | |
| Regression | airfoil | Interval Score Loss7.761 | 11 | |
| Regression | airfoil | Quantile Loss0.097 | 11 | |
| Regression | airfoil | PICP98 | 11 | |
| Regression | Airfoil TabArena v0.1 (test) | RMSE1.029 | 10 | |
| Regression | Airfoil | Normalized AUC of RMSE1.02 | 9 | |
| Regression | Airfoil 5, 2k | RMSE1.8 | 8 | |
| Forward prediction | AirFoil 9k | Relative L1 Error0.0008 | 7 | |
| Shape Optimization and Inversion | Airfoil | Latency (ms)0.31 | 7 | |
| Regression | airfoil (1503) (test outliers) | Mean Outlier Coverage91 | 7 | |
| Regression | airfoil | SMIS9.95 | 7 | |
| Regression | airfoil n=1503 (test) | ILR1.23 | 7 | |
| Regression | Airfoil 5-fold CV | RMSE1.54 | 7 | |
| Regression | Airfoil (3 train-test splits) | LPPD-0.176 | 7 | |
| Mach number field prediction | Airfoil NACA-0012 (test) | Error (%)59.6 | 7 | |
| Mach number field prediction | Airfoil NACA-0012 (train) | Error (%)32.9 | 7 |