@inproceedings{guo2021consistent, author = {Guo, Xiangyu and Kulkarni, Janardhan (Jana) and Li, Shi and Xian, Jiayi}, title = {Consistent k-Median: Simpler, Better and Robust}, booktitle = {International Conference on Artificial Intelligence and Statistics (AISTATS) 2021}, year = {2021}, month = {April}, abstract = {In this paper we introduce and study the online consistent k-clustering with outliers problem, generalizing the non-outlier version of the problem studied in [Lattanzi-Vassilvitskii, ICML17]. We show that a simple local-search based online algorithm can give a bicriteria constant approximation for the problem with O(k^2log^2(nD)) swaps of medians (recourse) in total, where D is the diameter of the metric. When restricted to the problem without outliers, our algorithm is simpler, deterministic and gives better approximation ratio and recourse, compared to that of [Lattanzi-Vassilvitskii, ICML17].}, url = {http://approjects.co.za/?big=en-us/research/publication/consistent-k-median-simpler-better-and-robust/}, }