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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2011 Volume 18, Issue 2, Pages 29–40 (Mi da644)

This article is cited in 29 papers

An approximation algorithm for one problem of cluster analysis

A. V. Dolgusheva, A. V. Kel'manovab

a Novosibirsk State University, Novosibirsk, Russia
b S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia

Abstract: A 2-approximation algorithm is presented for a data analysis problem which was previously reduced to an NP-hard optimization problem. Particularly, the problem is to partition a set of Euclidean vectors into two subsets (clusters) under the criterion of minimum-sum-of-squares. Bibliogr. 7.

Keywords: search for a vector subset, cluster analysis, NP-hardness, efficient approximate algorithm.

UDC: 519.2+621.391

Received: 26.12.2010
Revised: 18.01.2011


 English version:
Journal of Applied and Industrial Mathematics, 2011, 5:4, 551–558

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