Approximation Algorithms for Stochastic Clustering
David G. Harris, Shi Li, Thomas Pensyl, Aravind Srinivasan, Khoa Trinh; 20(153):1−33, 2019.
We consider stochastic settings for clustering, and develop provably-good approximation algorithms for a number of these notions. These algorithms yield better approximation ratios compared to the usual deterministic clustering setting. Additionally, they offer a number of advantages including clustering which is fairer and has better long-term behavior for each user. In particular, they ensure that every user is guaranteed to get good service (on average). We also complement some of these with impossibility results.
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