| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Transport modeling | Lorenz attractor M=24, T=8, R=2 regime blocks | 1-hop Wasserstein Distance0.03 | 6 | |
| Vector Quantization / Latent Space Modeling | Lorenz attractor standard (val) | Accuracy0.99 | 4 | |
| SDE Modeling | Lorenz attractor Initial condition N(0, 2) | MMD0.0033 | 3 | |
| SDE Modeling | Lorenz attractor Initial condition (1, 1, 1) | MMD0.0372 | 3 | |
| SDE Modeling | Lorenz attractor Initial condition N(0, 1) | MMD0.0038 | 3 | |
| Firing rate prediction | Synthetic Lorenz Attractor | R20.944 | 3 | |
| State and Parameter Estimation | 3-space Lorenz attractor | Parameter Error (Beta)0.014 | 2 | |
| Generative modeling | 3-space Lorenz attractor (val) | Log Likelihood-1.92 | 2 | |
| Generative modeling | 3-space Lorenz attractor (train) | Likelihood Loss-1.94 | 2 | |
| Physical System Property Measurement | Lorenz Attractor chaotic | Non-Gaussianity0.59 | 1 |