An algorithm for directed graph estimation

Hideitsu Hino, Atsushi Noda, Masami Tatsuno, Shotaro Akaho, Noboru Murata

    研究成果: Conference contribution

    抄録

    A problem of estimating the intrinsic graph structure from observed data is considered. The observed data in this study is a matrix with elements representing dependency between nodes in the graph. Each element of the observed matrix represents, for example, co-occurrence of events at two nodes, or correlation of variables corresponding to two nodes. The dependency does not represent direct connections and includes influences of various paths, and spurious correlations make the estimation of direct connection difficult. To alleviate this difficulty, digraph Laplacian is used for characterizing a graph. A generative model of an observed matrix is proposed, and a parameter estimation algorithm for the model is also proposed. The proposed method is capable of dealing with directed graphs, while conventional graph structure estimation methods from an observed matrix are only applicable to undirected graphs. Experimental result shows that the proposed algorithm is able to identify the intrinsic graph structure.

    元の言語English
    ホスト出版物のタイトルLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    出版者Springer Verlag
    ページ145-152
    ページ数8
    8681 LNCS
    ISBN(印刷物)9783319111780
    DOI
    出版物ステータスPublished - 2014
    イベント24th International Conference on Artificial Neural Networks, ICANN 2014 - Hamburg, Germany
    継続期間: 2014 9 152014 9 19

    出版物シリーズ

    名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
    8681 LNCS
    ISSN(印刷物)03029743
    ISSN(電子版)16113349

    Other

    Other24th International Conference on Artificial Neural Networks, ICANN 2014
    Germany
    Hamburg
    期間14/9/1514/9/19

    Fingerprint

    Directed graphs
    Directed Graph
    Graph in graph theory
    Vertex of a graph
    Generative Models
    Parameter estimation
    Estimation Algorithms
    Undirected Graph
    Digraph
    Parameter Estimation
    Path
    Experimental Results

    ASJC Scopus subject areas

    • Computer Science(all)
    • Theoretical Computer Science

    これを引用

    Hino, H., Noda, A., Tatsuno, M., Akaho, S., & Murata, N. (2014). An algorithm for directed graph estimation. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (巻 8681 LNCS, pp. 145-152). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 8681 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-11179-7_19

    An algorithm for directed graph estimation. / Hino, Hideitsu; Noda, Atsushi; Tatsuno, Masami; Akaho, Shotaro; Murata, Noboru.

    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8681 LNCS Springer Verlag, 2014. p. 145-152 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 8681 LNCS).

    研究成果: Conference contribution

    Hino, H, Noda, A, Tatsuno, M, Akaho, S & Murata, N 2014, An algorithm for directed graph estimation. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻. 8681 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 8681 LNCS, Springer Verlag, pp. 145-152, 24th International Conference on Artificial Neural Networks, ICANN 2014, Hamburg, Germany, 14/9/15. https://doi.org/10.1007/978-3-319-11179-7_19
    Hino H, Noda A, Tatsuno M, Akaho S, Murata N. An algorithm for directed graph estimation. : Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8681 LNCS. Springer Verlag. 2014. p. 145-152. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-11179-7_19
    Hino, Hideitsu ; Noda, Atsushi ; Tatsuno, Masami ; Akaho, Shotaro ; Murata, Noboru. / An algorithm for directed graph estimation. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 巻 8681 LNCS Springer Verlag, 2014. pp. 145-152 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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