Tight FPT Approximations for k-Median and k-Means

Cohen-Addad, Vincent ; Gupta, Anupam ; Kumar, Amit ; Lee, Euiwoong ; Li, Jason (2019) Tight FPT Approximations for k-Median and k-Means In: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019), 8-12 July 2019, Patras, Greece.

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Official URL: http://drops.dagstuhl.de/opus/volltexte/2019/10618

Abstract

We investigate the fine-grained complexity of approximating the classical k-Median/k-Means clustering problems in general metric spaces. We show how to improve the approximation factors to (1+2/e+epsilon) and (1+8/e+epsilon) respectively, using algorithms that run in fixed-parameter time. Moreover, we show that we cannot do better in FPT time, modulo recent complexity-theoretic conjectures.

Item Type:Conference or Workshop Item (Paper)
Source:Copyright of this article belongs to Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik.
Keywords:Approximation Algorithms; Fixed-Parameter Tractability; k-Median, k-Means; Clustering; Core-Sets.
ID Code:123501
Deposited On:29 Sep 2021 07:55
Last Modified:29 Sep 2021 07:55

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