| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Forward (initial value problem) | Rayleigh-Benard (test) | Relative MSE0.0928 | 14 | |
| Inverse (temporal conditioning) | Rayleigh-Benard (test) | Relative MSE0.116 | 14 | |
| Rollout Prediction | Rayleigh Benard (test) | CRPS0.05 | 9 | |
| Continuum Dynamics Rollout Prediction | Rayleigh-Benard | VRMSE0.0059 | 8 | |
| Continuum dynamics forecasting | Rayleigh-Benard | VRMSE (One-step)0.0059 | 4 | |
| Continuum Dynamics Rollout Prediction | Rayleigh-Benard T ∈ [21 : 60] | VRMSE0.6441 | 4 | |
| Continuum dynamics simulation | rayleigh.benard full rollout | Median Spatially-Averaged Temporal W1 Distance0.2734 | 4 | |
| Rollout simulation | Rayleigh Benard | CRPS0.068 | 2 | |
| Temporal interpolation | Rayleigh-Benard (test) | Relative MSE0.0902 | 2 |