| Task Name | Dataset Name | SOTA Result | Trend | |
|---|---|---|---|---|
| Regression | Swiss Roll d = 1000 (cross-validation) | Median SSE458.2 | 9 | |
| Classification | Swiss Roll (test) | Accuracy96.7 | 9 | |
| Regression | Swiss Roll 100 points (test) | R2 Score97 | 6 | |
| Regression | Swiss Roll 100 points (train) | R2 Score0.99 | 6 | |
| Downstream Linear Separability | Swiss Roll 3 -> 2 | 5-Fold CV Accuracy96.3 | 5 | |
| Manifold embedding | Swiss Roll (mean) | Correlation0.8575 | 5 | |
| Manifold embedding | Swiss Roll (view 2) | Correlation0.9289 | 5 | |
| Manifold embedding | Swiss Roll (view 1) | Correlation0.8235 | 5 | |
| Clustering | Swiss roll | Homogeneity82 | 5 | |
| Manifold Sampling | Swiss Roll 2d | Sinkhorn Distance (W2^2)0.08 | 4 | |
| Distance matrix comparison | Swiss roll (test) | Pearson Correlation0.702 | 4 | |
| Sampling on manifolds | Swiss Roll 2d synthetic (test) | W2 Distance0.08 | 3 | |
| Manifold Learning | Swiss Roll | Correlation (View 1)0.9771 | 3 | |
| Intrinsic Dimension Estimation | Swiss roll | Estimated Intrinsic Dimension2.19 | 2 |