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Cluster networks and Bruhat-Tits buildings

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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.

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Authors and Affiliations

  1. Steklov Mathematical Institute, RAS, Moscow, Russia

    S. V. Kozyrev

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  1. S. V. Kozyrev
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Correspondence to S. V. Kozyrev.

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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 180, No. 2, pp. 234–244, August, 2014.

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Kozyrev, S.V. Cluster networks and Bruhat-Tits buildings. Theor Math Phys 180, 958–966 (2014). https://doi.org/10.1007/s11232-014-0191-9

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  • DOI: https://doi.org/10.1007/s11232-014-0191-9

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