Research map / Learning theory and algorithms / Clustering
Near-optimal Coresets for Robust Clustering
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use the proposed coreset to run LL instead of on the full dataset | LL for robust Means · Adult, Bank, Twitter, Census1990 | running time: 80x-250x | Helped |
| Use the proposed coreset to run LS instead of on the full dataset | LS for robust Median · Adult, Bank, Twitter, Census1990 | running time: 100x-200x | Helped |
| Include the coreset construction time when running LL on the coreset | LL for robust Means · Adult, Bank, Twitter, Census1990 | running time: 10x-30x | Helped |
| Include the coreset construction time when running LS on the coreset | LS for robust Median · Adult, Bank, Twitter, Census1990 | running time: 80x-140x | Helped |
| Use the proposed coreset rather than uniform sampling | Robust Median coreset construction · All four datasets and tested target sizes | empirical error | Helped |
| Use the proposed coreset rather than sensitivity sampling | Robust Median coreset construction · All four datasets and tested target sizes | empirical error | Helped |
| Add the initial outliers to uniform sampling (OAUS instead of US) (ablation) | Uniform-sampling coreset baseline · All tested datasets | empirical error | No clear effect |
| Increase the number of outliers while keeping N - m fixed (ablation) | Proposed coreset · Robust Median experiments | empirical error | No clear effect |
| Use the proposed coreset to run LL instead of on the full dataset | LL for robust Means · Adult, Bank, Twitter, Census1990 | clustering cost: $3.790\times 10^{13}$ -> $3.922\times 10^{13}$; $4.444\times 10^8$ -> $4.652\times 10^8$; $3.218\times 10^7$ -> $3.236\t | Mixed |
| Use the proposed coreset to run LS instead of on the full dataset | LS for robust Median · Adult, Bank, Twitter, Census1990 | clustering cost: $1.100\times 10^9$ -> $1.107\times 10^9$; $4.717\times 10^6$ -> $4.721\times 10^6$; $1.476\times 10^6$ -> $1.451 \times | Mixed |
Closest papers by meaning
- Coreset for Robust Geometric Median: Eliminating Size Dependency on Outliers (NeurIPS 2025 · similarity 0.92)
- Beyond Worst-Case Coreset Bounds for $k$-Clustering via Determinantal Sampling (NeurIPS 2026 · similarity 0.92)
- Coresets for Clustering Under Stochastic Noise (NeurIPS 2025 · similarity 0.91)
- Universal Weak Coreset (AAAI 2024 · similarity 0.90)
- Improved Guarantees for Fully Dynamic $k$-Center Clustering with Outliers in General Metric Spaces (NeurIPS 2024 · similarity 0.90)
- Competitively Consistent Clustering (ICML 2025 · similarity 0.89)
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