| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Spatio-temporal Dynamics Reconstruction | Active Matter 1.0 (test) | VRMSE0.0732 | 28 | |
| Next-step prediction | Active Matter (test) | VRMSE0.0171 | 19 | |
| PDE System Rollout Forecasting | Active Matter | VRMSE (01:16)0.587 | 14 | |
| Forward forecasting | Active Matter forward task (test) | Relative MSE0.132 | 13 | |
| Inverse forecasting | Active Matter inverse task (test) | Relative MSE0.104 | 13 | |
| Forward (initial value problem) | Active Matter (test) | Relative MSE0.132 | 13 | |
| Inverse (temporal conditioning) | Active Matter (test) | Relative MSE0.104 | 13 | |
| PDE Emulation | Active Matter | Spectral Coherence RMSE0.219 | 11 | |
| Spectral Coherence Estimation | Active Matter | Low Frequency Spectral Coherence RMSE0.183 | 11 | |
| Autoregressive Rollout | Active Matter | CRPS (1:16)0.058 | 11 | |
| Spatiotemporal forecasting | Active Matter (AM) (test) | NRMSE0.3162 | 9 | |
| Active Matter Simulation | Active Matter | VRMSE0.0387 | 6 | |
| 10-step rollout prediction | Active Matter (test) | 10-step Rollout VRMSE0.384 | 6 | |
| 10-step rollout prediction | Active Matter | VRMSE0.351 | 6 | |
| PDE Surrogate Modeling | Active Matter (test) | VRMSE0.522 | 5 | |
| Physical parameter prediction | active matter | MSE0.057 | 4 | |
| Temporal interpolation | Active Matter (test) | Relative MSE0.111 | 2 |