Poster
A Scalable Algorithm for Individually Fair k-Means Clustering
MohammadHossein Bateni · Vincent Cohen-Addad · Alessandro Epasto · Silvio Lattanzi
MR1 & MR2 - Number 24
Abstract:
We present a scalable algorithm for the individually fair (pp,kk)-clustering problem introduced by Jung et al. and Mahabadi et al. Given nn points PP in a metric space, let δ(x)δ(x) for x∈Px∈P be the radius of the smallest ball around xx containing at least n/kn/k points. A clustering is then called individually fair if it has centers within distance δ(x)δ(x) of xx for each x∈Px∈P. While good approximation algorithms are known for this problem no efficient practical algorithms with good theoretical guarantees have been presented. We design the first fast local-search algorithm that runs in ~O(nk2)O(nk2) time and obtains a bicriteria (O(1),6)(O(1),6) approximation. Then 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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