Research map / Learning theory and algorithms / Clustering
Distributed $k$-Clustering for Data with Heavy Noise
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use local aggregation before sending data to the coordinator | Distributed (k, z)-center · (k, z)-center, general metrics | communication cost: O( km/ε + m log Δ/ε ) | Helped |
| Allow up to (1+ε)z outliers rather than 2z | Distributed (k, z)-center · (k, z)-center, general metrics | outlier factor: 2+ε -> 1+ε | Helped |
| Use coresets for discretized truncated-distance instances | Distributed (k, z)-median/means · (k, z)-median and (k, z)-means, Euclidean metrics | bicriteria approximation: (1+ε, 1+ε) | Helped |
| Increase ε to 0.99 instead of using ε=0.1 (ablation) | Distributed (k, z)-center algorithm · Small-dataset experiments, varying k | communication cost | Helped |
| Increase ε to 0.99 instead of using ε=0.1 (ablation) | Distributed (k, z)-center algorithm · Small-dataset experiments, varying k | objective value | Hurt |
Closest papers by meaning
- Fast Algorithms for Distributed k-Clustering with Outliers (ICML 2023 · similarity 0.95)
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- Clustering What Matters: Optimal Approximation for Clustering with Outliers (AAAI 2023 · similarity 0.91)
- Improved Guarantees for Fully Dynamic $k$-Center Clustering with Outliers in General Metric Spaces (NeurIPS 2024 · similarity 0.89)
- Near-Linear Time Approximation Algorithms for k-means with Outliers (ICML 2024 · similarity 0.89)
- Fully-Scalable Massively Parallel Algorithm for k-center with Outliers (AAAI 2025 · similarity 0.88)
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