| Dataset Name | SOTA Method | Metric | Trend | ||
|---|---|---|---|---|---|
| S10 manifold embedded in R11 sigma = 0.1 | lPCA | Average Estimated Dimension11 | 14 | 2mo ago | |
| S10 manifold embedded in R11 sigma = 0.01 | lPCA | Average Estimated Dimension11 | 14 | 2mo ago | |
| S10 manifold embedded in R11 sigma = 0.0 | lPCA | Average Estimated Dimension11 | 14 | 2mo ago | |
| MNIST | CA-PCA | Intrinsic Dimension Estimate84.66 | 13 | 12d ago | |
| MNL6(18) (n=2000) | Mean Estimated Dimension22.31 | 10 | 19d ago | ||
| MNL5(12) (n=2000) | Wasserstein | Mean Dimension Estimate5.8 | 10 | 19d ago | |
| MNL4(10) (n=2000) | Mean Dimension Estimate16.07 | 10 | 19d ago | ||
| MNL3(4) n=2000 | TLS | Mean Estimated Dimension6.87 | 10 | 19d ago | |
| MNL2 (4) (n=2000) | Mean Dimension Estimate5.09 | 10 | 19d ago | ||
| MNL1(6) (n=2000) | Mean Dimension Estimate6.61 | 10 | 19d ago | ||
| MNL6 true dimension d=18 n=500 | Mean Dimension Estimate25.52 | 10 | 19d ago | ||
| MNL5 true dimension d=12 n=500 | Mean Dimension Estimate25.25 | 10 | 19d ago | ||
| MNL4 true dimension d=10 n=500 | Mean Dimension Estimate24.17 | 10 | 19d ago | ||
| MNL3 true dimension d=4 n=500 | Mean Dimension Estimate7.65 | 10 | 19d ago | ||
| MNL2 true dimension d=4 n=500 | CA-PCA | Mean Dimension Estimate5.16 | 10 | 19d ago | |
| MNL1 (true dimension d=6), n=500 | Mean Estimated Dimension7.26 | 10 | 19d ago | ||
| ISOMAP sculpture face images | CA-PCA | Dimension Estimate25.71 | 10 | 19d ago | |
| Manifold M10 d=2 n=2000 (uniform samples) | Wasserstein | Mean Dimension Estimate2.31 | 10 | 19d ago | |
| Manifold M9 d=2 n=2000 (uniform samples) | Wasserstein | Mean Dimension Estimate2.29 | 10 | 19d ago | |
| Manifold M8 d=2 n=2000 (uniform samples) | Mean Estimated Dimension2.15 | 10 | 19d ago | ||
| Manifold M7 (d=2) n=2000 (uniform samples) | Wasserstein | Mean Dimension Estimate2.44 | 10 | 19d ago | |
| Manifold M6 (d=1) n=2000 (uniform samples) | Estimated Dimension1 | 10 | 19d ago | ||
| Manifold M5 (d=2) n=2000 (uniform samples) | Wasserstein | Mean Dimension Estimate2.26 | 10 | 19d ago | |
| Manifold M43 d=3 n=2000 (uniform samples) | QE | Mean Dimension Estimate3 | 10 | 19d ago | |
| Manifold M42 d=3 n=2000 (uniform samples) | Mean Dimension Estimate3 | 10 | 19d ago |
