Manifold
Benchmarks
| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Intrinsic Dimension Estimation | Manifold M10 d=2 n=2000 (uniform samples) | Mean Dimension Estimate2.31 | 10 | |
| Intrinsic Dimension Estimation | Manifold M8 d=2 n=2000 (uniform samples) | Mean Estimated Dimension2.15 | 10 | |
| Intrinsic Dimension Estimation | Manifold M7 (d=2) n=2000 (uniform samples) | Mean Dimension Estimate2.44 | 10 | |
| Intrinsic Dimension Estimation | Manifold M6 (d=1) n=2000 (uniform samples) | Estimated Dimension1 | 10 | |
| Intrinsic Dimension Estimation | Manifold M5 (d=2) n=2000 (uniform samples) | Mean Dimension Estimate2.26 | 10 | |
| Intrinsic Dimension Estimation | Manifold M43 d=3 n=2000 (uniform samples) | Mean Dimension Estimate3 | 10 | |
| Intrinsic Dimension Estimation | Manifold M41 d=3 n=2000 (uniform samples) | Mean Dimension Estimate2.99 | 10 | |
| Intrinsic Dimension Estimation | Manifold M23 (d=20) uniform samples n=2000 | Mean Dimension Estimate19.98 | 10 | |
| Intrinsic Dimension Estimation | Manifold M21 (d=5) n=2000 (uniform samples) | Mean Dimension Estimate5 | 10 | |
| Intrinsic Dimension Estimation | Manifold M12 (d=10) n=2000 (uniform samples) | Mean Dimension Estimate10.92 | 10 | |
| Intrinsic Dimension Estimation | M10 Manifold (d=2) | Estimated Dimension2.44 | 10 | |
| Classification | Manifold40 | Accuracy92.4 | 6 | |
| Distribution learning | Manifold | W1 Distance1 | 5 | |
| Shape classification | Manifold40 (test) | Accuracy898 | 4 | |
| 3D Mesh Reconstruction | Manifold40 (test) | Chamfer Distance (CD)0.004 | 4 |
Showing 15 of 15 rows