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Avtomatika i Telemekhanika, 2021, Issue 10, Pages 140–151
DOI: https://doi.org/10.31857/S0005231021100111 (Mi at15804) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a robust approach to search for cluster centers

Z. M. Shibzukhovab

a Institute of Mathematics and Computer Science, Moscow Pedagogical State University, Moscow, 119991 Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia
Full-text PDF (2725 kB) First page Citations (2)
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DOI: https://doi.org/10.31857/S0005231021100111
Abstract: We propose a new approach to the construction of $k$-means clustering algorithms in which the Mahalanobis distance is used instead of the Euclidean distance. The approach is based on minimizing differentiable estimates of the mean insensitive to outliers. Illustrative examples convincingly show that the proposed algorithm is highly likely to be robust with respect to a large amount of outliers in the data.
Keywords: cluster center, robust mean, Mahalanobis distance, iterative reweighting, robust algorithm.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00050
This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00050.
Presented by the member of Editorial Board: A. A. Lazarev

Received: 24.01.2021
Revised: 26.04.2021
Accepted: 30.06.2021
English version:
Automation and Remote Control, 2021, Volume 82, Issue 10, Pages 1742–1751
DOI: https://doi.org/10.1134/S0005117921100118
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Z. M. Shibzukhov, “On a robust approach to search for cluster centers”, Avtomat. i Telemekh., 2021, no. 10, 140–151; Autom. Remote Control, 82:10 (2021), 1742–1751
Citation in format AMSBIB
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\by Z.~M.~Shibzukhov
\paper On a robust approach to search for cluster centers
\jour Avtomat. i Telemekh.
\yr 2021
\issue 10
\pages 140--151
\mathnet{http://mi.mathnet.ru/at15804}
\crossref{https://doi.org/10.31857/S0005231021100111}
\transl
\jour Autom. Remote Control
\yr 2021
\vol 82
\issue 10
\pages 1742--1751
\crossref{https://doi.org/10.1134/S0005117921100118}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85119600837}
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  • https://www.mathnet.ru/eng/at/y2021/i10/p140
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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