Research map / Learning theory and algorithms / Optimal transport
Flattening the Density Gradient for Eliminating Spatial Centrality to Reduce Hubness
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| subtract sample-wise centrality (squared distance to global centroid) from squared Euclidean distance (DisSimGlobal) | Euclidean distance k-NN · i.i.d. Gaussian(0,I), n=1000, d=1000 | N10 skewness: 2.83 -> 0.38 | Helped |
| use global centroid correction (DisSimGlobal) on non-isotropic or mixture Gaussian data (ablation) | Euclidean distance k-NN · non-isotropic Gaussian and Gaussian mixture, d=1000 | N10 skewness | No clear effect |
| use local centroid (kappa-NN mean) correction (DisSimLocal) instead of global centroid (ablation) | DisSimGlobal · non-isotropic Gaussian and Gaussian mixture, d=1000 | N10 skewness | Helped |
| apply DisSimLocal to Euclidean distance for k-NN classification | Euclidean distance k-NN · Leukemia, Lung Cancer, MFeat, ISOLET | k-NN accuracy | Helped |
Closest papers by meaning
- On Finding Hubs in High Dimensions with Sampling (AAAI 2025 · similarity 0.87)
- Quantifying Centrality for Complex Data (NeurIPS 2026 · similarity 0.83)
- On Convergence of Nearest Neighbor Classifiers over Feature Transformations (NeurIPS 2020 · similarity 0.82)
- Towards Fairer Centroids in K-means Clustering (AAAI 2024 · similarity 0.82)
- Efficient Constrained K-center Clustering with Background Knowledge (AAAI 2024 · similarity 0.81)
- Average Sensitivity of Hierarchical $k$-Median Clustering (ICML 2025 · similarity 0.81)
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