The Well
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| PDE Reconstruction | The Well Viscous Elastic | VRMSE0.1568 | 5 | |
| PDE Reconstruction | The Well Turbulence | VRMSE0.1956 | 5 | |
| PDE Reconstruction | The Well Scalar Flow (W-SF) | VRMSE0.1453 | 5 | |
| PDE Reconstruction | The Well Rayleigh-Bénard | VRMSE0.1886 | 5 | |
| PDE Reconstruction | The Well Shallow Water Equations (W-SWE) | VRMSE0.0951 | 5 | |
| PDE Reconstruction | The Well Gray-Scott | Volume RMSE0.1365 | 5 | |
| PDE Reconstruction | The Well Acoustic Medium (W-AM) | VRMSE10.34 | 5 | |
| 1:20 Rollout | The Well | Acoustic Scattering Maze Score0.0489 | 4 | |
| Next-step prediction | The Well | Acoustic Scattering Maze Score14.54 | 4 | |
| 1→1 next-step prediction | The Well turbulent_radiative_layer_2D (test) | VRMSE0.1907 | 4 | |
| 1→1 next-step prediction | The Well shear_flow (test) | VRMSE0.0285 | 4 | |
| 1→1 next-step prediction | The Well rayleigh_benard (test) | VRMSE0.0706 | 4 | |
| 1→1 next-step prediction | The Well planetswe (test) | VRMSE0.0018 | 4 | |
| 1→1 next-step prediction | The Well active_matter (test) | VRMSE0.0397 | 4 | |
| 1→1 next-step prediction | The Well acoustic_scattering (maze) (test) | VRMSE0.0077 | 4 | |
| Rollout field prediction | The Well MHD_64 | Mean Rollout Relative L20.486 | 3 | |
| One-step field prediction | The Well MHD_64 | MSE0.329 | 3 | |
| 1→1 next-step prediction | The Well supernova_explosion_128 (test) | VRMSE0.344 | 3 | |
| 1→1 next-step prediction | The Well MHD_64 (test) | VRMSE0.1378 | 3 | |
| Trajectory Prediction | The Well Active-Matter | Relative L2 Error0.0015 | 2 |
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