Torus
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Manifold Embedding | Torus | Spearman Correlation (row)99.9 | 19 | |
| Imputation | Torus Synthetic | RMSE1.2836 | 8 | |
| Manifold Embedding | Torus | Local Correlation Metric13.5 | 7 | |
| Generation | Torus RNA (test) | MMD0.07 | 7 | |
| Generation | Torus Protein PrePro (test) | MMD0.05 | 7 | |
| Generation | Torus Protein Proline (test) | MMD0.04 | 7 | |
| Generation | Torus Protein Glycine (test) | MMD0.03 | 7 | |
| Generation | Torus Protein General (test) | MMD0.01 | 7 | |
| Generative Modeling | Torus RNA 9,478 (test) | NLL3.7 | 7 | |
| Generative Modeling | Torus PrePro 6,910 (test) | NLL1.02 | 7 | |
| Generative Modeling | Torus Proline 7,634 (test) | NLL0.08 | 7 | |
| Generative Modeling | Torus Glycine 13,283 (test) | NLL1.9 | 7 | |
| Generative Modeling | Torus General 138,208 (test) | NLL0.95 | 7 | |
| Pose Graph Optimization | Torus | Constraint Count (100)2.4257 | 7 | |
| Ergodic trajectory optimization | Torus | Vs0.0587 | 6 | |
| Long-horizon prediction | Torus (test) | MSE0.0164 | 6 | |
| Pose graph optimization | Torus n=5000, m=9048 | Error1.21 | 6 | |
| Pose Graph Optimization | Torus 3D | Objective Value24,227 | 5 | |
| Manifold embedding | Torus (mean) | Correlation0.8127 | 5 | |
| Manifold embedding | Torus (view 2) | Correlation0.9431 | 5 | |
| Manifold embedding | Torus (view 1) | Correlation0.8304 | 5 | |
| State transition prediction | Torus 10% 5x5 (val) | H@11 | 4 | |
| Persistent Homology Computation | torus4 | Max Memory57.61 | 3 | |
| Manifold Learning | Torus | Correlation (View 1)0.7546 | 3 | |
| Learning Dynamical Systems | Torus time-series | MSE0.0037 | 2 |
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