Research map / Learning theory and algorithms / Clustering
Fair k-Center Clustering for Data Summarization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Enforce per-group quotas and use recursive greedy center selection with group-aware swaps | k-center data summarization · Fair k-center, two groups | approximation factor: 5 | Helped |
| Use the recursive fair k-center algorithm for multiple demographic groups | k-center data summarization · Fair k-center, m groups | approximation factor: $(3\cdot 2^{m-1}-1)$ | Mixed |
| Use the proposed algorithm instead of matroid intersection | Fair k-center · Synthetic fair k-center, |S|=250 | running time: 230 seconds vs 0.01 seconds | Helped |
| Use the proposed algorithm rather than the matroid-center algorithm | Fair k-center · Synthetic fair k-center, seven settings, |S|=25 | approximation factor: never larger than 2.2 | Helped |
| Scale the number of groups across the tested range | Fair k-center algorithm · Synthetic fair k-center, m in {2,...,20} | approximation factor: never larger than 2.6 | No clear effect |
| Use either linear-time baseline heuristic instead of the proposed algorithm | Fair k-center · Synthetic and Adult data sets | clustering cost | No clear effect |
| Enforce balanced group quotas rather than use unconstrained greedy k-center | Data summarization · Synthetic and Adult data sets | clustering cost | Mixed |
| Use unconstrained greedy k-center without group quotas | Data summarization · Medical-doctor image summary | group representation: three or even four females | Hurt |
Closest papers by meaning
- Fair and Fast k-Center Clustering for Data Summarization (ICML 2022 · similarity 0.94)
- Towards Fairer Centroids in K-means Clustering (AAAI 2024 · similarity 0.89)
- Efficient Constrained K-center Clustering with Background Knowledge (AAAI 2024 · similarity 0.89)
- Proportional Fairness in Non-Centroid Clustering (NeurIPS 2024 · similarity 0.88)
- Parameterized Approximation Schemes for Fair-Range Clustering (NeurIPS 2024 · similarity 0.88)
- Relax and Merge: A Simple Yet Effective Framework for Solving Fair $k$-Means and $k$-sparse Wasserstein Barycenter Problems (ICLR 2025 · similarity 0.88)
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