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Poster
in
Workshop: Trustworthy and Socially Responsible Machine Learning

Scalable and Improved Algorithms for Individually Fair Clustering

Mohammadhossein Bateni · Vincent Cohen-Addad · Alessandro Epasto · Silvio Lattanzi


Abstract: We present scalable and improved algorithms for the individually fair (pp, k)-clustering problem introduced by Jung et al and Mahabadi et al.Given n points P in a metric space, let δ(x) for xP be the radius of the smallest ball around x containing at least \nicefracnk points. In this work, we present two main contributions.We first present local-search algorithms improving prior work along cost and maximum fairness violation.Then we design a fast local-search algorithmthat runs in \tO(nk2) time and obtains a bicriteria (O(1),6) approximation. Finally we show empirically that not only is our algorithm much faster than prior work, but it also produces lower-cost solutions.

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