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Diskretnyi Analiz i Issledovanie Operatsii, 2011, Volume 18, Issue 2, Pages 29–40 (Mi da644)  
This article is cited in 29 scientific papers (total 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
Full-text PDF (265 kB) Citations (29)
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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.
Received: 26.12.2010
Revised: 18.01.2011
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 551–558
DOI: https://doi.org/10.1134/S1990478911040107
Bibliographic databases:
Document Type: Article
UDC: 519.2+621.391
Language: Russian
Citation: A. V. Dolgushev, A. V. Kel'manov, “An approximation algorithm for one problem of cluster analysis”, Diskretn. Anal. Issled. Oper., 18:2 (2011), 29–40; J. Appl. Industr. Math., 5:4 (2011), 551–558
Citation in format AMSBIB
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\by A.~V.~Dolgushev, A.~V.~Kel'manov
\paper An approximation algorithm for one problem of cluster analysis
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 2
\pages 29--40
\mathnet{http://mi.mathnet.ru/da644}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2841699}
\zmath{https://zbmath.org/?q=an:1249.90186}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 4
\pages 551--558
\crossref{https://doi.org/10.1134/S1990478911040107}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-82655170461}
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    • This publication is cited in the following 29 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :121
    References:53
    First page:6
     
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