A simple linear time ( 1+ ε)- approximation algorithm for geometric k-means clustering in any dimensions

Kumar, Amit ; Sabharwal, Yogish ; Sen, Sandeep (2004) A simple linear time ( 1+ ε)- approximation algorithm for geometric k-means clustering in any dimensions Proceedings - Annual Symposium on Foundations of Computer Science . pp. 454-462. ISSN 0272-5428

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Official URL: http://www.cse.iitd.ernet.in/~ssen/conf/focs04.pdf

Abstract

We present the first linear time (1+ε)-approximation algorithm for the k-means problem for fixed k and ε. Our algorithm runs in O(nd) time, which is linear in the size of the input. Another feature of our algorithm is its simplicity - the only technique involved is random sampling.

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Deposited On:08 May 2012 14:36
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