| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| PDEBench rdb (test) | GITS | nRMSE0.071 | 28 | 4mo ago | |
| PDEBench diff-sorp (test) | GITS | nRMSE0.105 | 28 | 4mo ago | |
| Cahn-Hilliard 3D | HAMNO | Relative L2 Error @ t=500.0388 | 24 | 1mo ago | |
| Swift-Hohenberg 3D (test) | HAMNO | Rel. L2 Error @ t=500.0554 | 24 | 1mo ago | |
| Fermi-Pasta-Ulam-Tsingou | HNN | Rollout MSE0.0107 | 12 | 4mo ago | |
| Double Pendulum | FS-HNN | Rollout MSE1.13 | 12 | 4mo ago | |
| Pendulum | HNN | Rollout MSE1.05 | 12 | 4mo ago | |
| Shear Flow (test) | Ours (CRPS) | CRPS0.0031 | 9 | 4mo ago | |
| Euler (test) | Ours (CRPS) | CRPS0.028 | 9 | 4mo ago | |
| Rayleigh Benard (test) | Ours (CRPS) | CRPS0.05 | 9 | 4mo ago | |
| 1D Burgers' equation (400-step rollout) | JAWS+PF(5) | RMSE0.13 | 5 | 4mo ago | |
| Cylinder Flow Re=400 (test) | ViT-SEA Transformer | U Velocity0.35 | 5 | 5mo ago | |
| Navier-Stokes 64x64, ν=10⁻⁵ (test) | FaNO | Relative L2 Error (Step 1)90 | 4 | 1mo ago | |
| Advection-Diffusion-Reaction (val) | AE-ViT | Relative Rollout Error (T=0.4)0.29 | 4 | 3mo ago |
