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TMF, 2010, Volume 164, Number 3, Pages 394–400 (Mi tmf6549)  

This article is cited in 3 scientific papers (total in 3 papers)

Multidimensional clustering and hypergraphs

S. V. Kozyrev

Steklov Mathematical Institute, RAS, Moscow, Russia

Abstract: We discuss a multidimensional generalization of the clustering method. In our approach, the clustering is realized by partially ordered hypergraphs belonging to some family. The suggested procedure is applicable in the case where the original metric depends on a set of parameters. The clustering hypergraph studied here can be regarded as an object describing all possible clustering trees corresponding to different values of the original metric.

Keywords: clustering, hypergraph, data analysis

DOI: https://doi.org/10.4213/tmf6549

Full text: PDF file (292 kB)
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English version:
Theoretical and Mathematical Physics, 2010, 164:3, 1163–1168

Bibliographic databases:

Document Type: Article

Citation: S. V. Kozyrev, “Multidimensional clustering and hypergraphs”, TMF, 164:3 (2010), 394–400; Theoret. and Math. Phys., 164:3 (2010), 1163–1168

Citation in format AMSBIB
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\paper Multidimensional clustering and hypergraphs
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\yr 2010
\vol 164
\issue 3
\pages 394--400
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\transl
\jour Theoret. and Math. Phys.
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\issue 3
\pages 1163--1168
\crossref{https://doi.org/10.1007/s11232-010-0095-2}
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\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77957989917}


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  • http://mi.mathnet.ru/eng/tmf/v164/i3/p394

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. S. V. Kozyrev, “Cluster networks and Bruhat–Tits buildings”, Theoret. and Math. Phys., 180:2 (2014), 958–966  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
    2. S. V. Kozyrev, “Ultrametricity in the theory of complex systems”, Theoret. and Math. Phys., 185:2 (2015), 1665–1677  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    3. Dragovich B. Khrennikov A.Yu. Kozyrev S.V. Volovich I.V. Zelenov E.I., “P-Adic Mathematical Physics: the First 30 Years”, P-Adic Numbers Ultrametric Anal. Appl., 9:2 (2017), 87–121  crossref  mathscinet  zmath  isi  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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