The methods for approximation of principal points for binary distributions on the basis of submodularity

Haruka Yamashita, Hideo Suzuki

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Principal points for binary distributions are able to be defined based on Flurys principal points (1990). However, finding principal points for binary distributions is hard in a straightforward manner. In this article, a method for approximating principal points for binary distributions is proposed by formulating it as an uncapacitated location problem. Moreover, it is shown that the problem of finding principal points can be solved with the aid of submodular functions. It leads to a solution whose value is at least (1 - 1/e) times the optimal value.

    Original languageEnglish
    Pages (from-to)2291-2309
    Number of pages19
    JournalCommunications in Statistics - Theory and Methods
    Volume44
    Issue number11
    DOIs
    Publication statusPublished - 2015 Jun 3

    Keywords

    • Clustering
    • Data analysis
    • Multivariate binary distribution
    • Uncapacitated location problem

    ASJC Scopus subject areas

    • Statistics and Probability

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