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Teoreticheskaya i Matematicheskaya Fizika, 2014, Volume 180, Number 2, Pages 234–244
DOI: https://doi.org/10.4213/tmf8673 (Mi tmf8673) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Cluster networks and Bruhat–Tits buildings

S. V. Kozyrev

Steklov Mathematical Institute of the Russian Academy of Sciences, Moscow, Russia
Full-text PDF (465 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8673
Abstract: We consider a clustering procedure in the case where a family of metrics is used instead of a fixed metric. In this case, a classification network (a directed acyclic graph with nondirected cycles) is obtained instead of a classification tree. We discuss the relation to Bruhat–Tits buildings and introduce the notion of the dimension of a general cluster network.
Keywords: clustering, cluster network, Bruhat–Tits building.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 10.03.2014
English version:
Theoretical and Mathematical Physics, 2014, Volume 180, Issue 2, Pages 958–966
DOI: https://doi.org/10.1007/s11232-014-0191-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Kozyrev, “Cluster networks and Bruhat–Tits buildings”, TMF, 180:2 (2014), 234–244; Theoret. and Math. Phys., 180:2 (2014), 958–966
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8673
  • https://www.mathnet.ru/eng/tmf/v180/i2/p234
    • This publication is cited in the following 2 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:61
    First page:23
     
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