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Research map / Learning theory and algorithms / Clustering

Fair k-Center Clustering for Data Summarization

ICML 2019 · Learning theory and algorithms › Clustering · approach: Fair clustering approximation · 75 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Enforce per-group quotas and use recursive greedy center selection with group-aware swapsk-center data summarization · Fair k-center, two groupsapproximation factor: 5Helped
Use the recursive fair k-center algorithm for multiple demographic groupsk-center data summarization · Fair k-center, m groupsapproximation factor: $(3\cdot 2^{m-1}-1)$Mixed
Use the proposed algorithm instead of matroid intersectionFair k-center · Synthetic fair k-center, |S|=250running time: 230 seconds vs 0.01 secondsHelped
Use the proposed algorithm rather than the matroid-center algorithmFair k-center · Synthetic fair k-center, seven settings, |S|=25approximation factor: never larger than 2.2Helped
Scale the number of groups across the tested rangeFair k-center algorithm · Synthetic fair k-center, m in {2,...,20}approximation factor: never larger than 2.6No clear effect
Use either linear-time baseline heuristic instead of the proposed algorithmFair k-center · Synthetic and Adult data setsclustering costNo clear effect
Enforce balanced group quotas rather than use unconstrained greedy k-centerData summarization · Synthetic and Adult data setsclustering costMixed
Use unconstrained greedy k-center without group quotasData summarization · Medical-doctor image summarygroup representation: three or even four femalesHurt

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