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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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  • https://doi.org/10.4213/tmf6549
  • https://www.mathnet.ru/eng/tmf/v164/i3/p394
    • This publication is cited in the following 4 articles:
    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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    References:95
    First page:45
     
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