| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Next-step prediction | Rayleigh-Bénard (test) | VRMSE0.0248 | 19 | |
| PDE System Rollout Forecasting | Rayleigh–Bénard | VRMSE (Rollout 01:32)0.779 | 14 | |
| PDE Emulation | Rayleigh–Bénard | Spectral Coherence RMSE0.109 | 11 | |
| Spectral Coherence Estimation | Rayleigh–Bénard | Low Spectral Coherence RMSE0.143 | 11 | |
| Autoregressive Rollout | Rayleigh–Bénard | CRPS (Rollout 01:32)0.003 | 11 | |
| PDE Emulation | Rayleigh–Bénard | CRPS (Ra=10^6)0.054 | 11 | |
| 10-step rollout prediction | Rayleigh-Bénard (test) | 10-step Rollout VRMSE0.137 | 6 | |
| 10-step rollout prediction | Rayleigh-Bénard | VRMSE0.14 | 6 |