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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 394–400
DOI: https://doi.org/10.4213/tmf6549 (Mi tmf6549) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Multidimensional clustering and hypergraphs

S. V. Kozyrev

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (292 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6549
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.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1163–1168
DOI: https://doi.org/10.1007/s11232-010-0095-2
Bibliographic databases:
Document Type: Article
Language: Russian
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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\pages 394--400
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\transl
\jour Theoret. and Math. Phys.
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\pages 1163--1168
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Linking options:
  • https://www.mathnet.ru/eng/tmf6549
  • https://doi.org/10.4213/tmf6549
  • https://www.mathnet.ru/eng/tmf/v164/i3/p394
    • This publication is cited in the following 4 articles:
    1. 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
    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. 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
    4. S. Albeverio, S. V. Kozyrev, “Clustering by hypergraphs and dimensionality of cluster systems”, P-Adic Numbers Ultrametric Anal. Appl., 4:3 (2012), 167–178  mathnet  crossref  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:737
    Full-text PDF :364
    References:112
    First page:45
     
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