Scalable Algorithms for Individual Preference Stable Clustering

arXiv:2403.10365v1 Announce Type: cross
Abstract: In this paper, we study the individual preference (IP) stability, which is an notion capturing individual fairness and stability in clustering. Within this setting, a clustering is $\alpha$-IP stable when each data point's average distance to its cluster is no more than $\alpha$ times its average distance to any other cluster. In this paper, we study the natural local search algorithm for IP stable clustering. Our analysis confirms a $O(\log n)$-IP stability guarantee for this …

abstract algorithms alpha arxiv cluster clustering cs.ai cs.cy cs.ds cs.lg data fairness notion paper scalable stability study type