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DOI: 10.4230/LIPIcs.ICALP.2019.42
URN: urn:nbn:de:0030-drops-106182
URL: https://drops.dagstuhl.de/opus/volltexte/2019/10618/
Cohen-Addad, Vincent ; Gupta, Anupam ; Kumar, Amit ; Lee, Euiwoong ; Li, Jason
Tight FPT Approximations for k-Median and k-Means
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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.
BibTeX - Entry
@InProceedings{cohenaddad_et_al:LIPIcs:2019:10618,
author = {Vincent Cohen-Addad and Anupam Gupta and Amit Kumar and Euiwoong Lee and Jason Li},
title = {{Tight FPT Approximations for k-Median and k-Means}},
booktitle = {46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
pages = {42:1--42:14},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-109-2},
ISSN = {1868-8969},
year = {2019},
volume = {132},
editor = {Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2019/10618},
URN = {urn:nbn:de:0030-drops-106182},
doi = {10.4230/LIPIcs.ICALP.2019.42},
annote = {Keywords: approximation algorithms, fixed-parameter tractability, k-median, k-means, clustering, core-sets}
}
| Keywords: | approximation algorithms, fixed-parameter tractability, k-median, k-means, clustering, core-sets | |
| Seminar: | 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019) | |
| Issue date: | 2019 | |
| Date of publication: | 04.07.2019 |
