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Research map / Learning theory and algorithms / Clustering

Better Algorithms for Individually Fair $k$-Clustering

NeurIPS 2021 · Learning theory and algorithms › Clustering · approach: Fair clustering approximation · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LP rounding tailored to cost contributions and fairness radiiFair-(p,k)-Clustering · UCI bank, census, and diabetesmaximum fairness violation: 1.27Helped
Use LP rounding tailored to cost contributions and fairness radiiFair-k-Means · UCI bank, census, and diabetescost relative to LP cost: \%1; \%15Helped
Use Fair-Round instead of the compared fair-clustering methodsFair-k-Means · UCI bank, census, and diabetesmaximum fairness violation: 1.3Mixed
Relax the LP fairness radii to match Mahabadi and Vakilian's violation levelFair-Round · UCI k-Means experimentsclustering costHelped
Sparsify the instance before solving the LP (ablation)Fair-Round · UCI bank, census, and diabetesruntimeHelped
Sparsify the instance before solving the LP (ablation)Fair-Round · UCI bank, census, and diabetesclustering costNo clear effect
Sparsify the instance before solving the LP (ablation)Fair-Round · UCI bank, census, and diabetesmaximum fairness violationNo clear effect
Set the sparsification parameter δ to the reported dataset-specific values (ablation)Sparse-Fair-Round · UCI bank, census, and diabetesruntime: δ = 0.3, 0.05 and 0.01Helped

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