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2011 Fiscal Year Final Research Report

Acceleration of statistical iterative algorithms for graphical models

Research Project

  • PDF
Project/Area Number 20500263
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionOkayama University of Science

Principal Investigator

KURODA Masahiro  岡山理科大学, 総合情報学部, 准教授 (90279042)

Co-Investigator(Kenkyū-buntansha) MORI Yuichi  岡山理科大学, 総合情報学部, 教授 (80230085)
SAKAKIHARA Michio  岡山理科大学, 総合情報学部, 教授 (70215614)
NAKAGAWA Shigekazu  倉敷芸術科学大学, 産業科学技術学部, 教授 (90248203)
Project Period (FY) 2008 – 2011
KeywordsEMアルゴリズム / グラフィカルモデル / 交互最小二乗法 / マルコフ連鎖モンテカルロ法
Research Abstract

We developed the acceleration method for the EM algorithm using the vector epsilon algorithm, and then applied it to decomposable log-linear models with missing data. We also proposed MCMC using Markov bases for decomposable log-linear models. Furthermore, we developed a new acceleration method for the Alternating Least Squares(ALS) algorithm using the vector epsilon algorithm, and demonstrated that the acceleration algorithm improves the computational efficiency of the original ALS algorithm.

  • Research Products

    (20 results)

All 2012 2011 2010 2009 2008 Other

All Journal Article (10 results) (of which Peer Reviewed: 8 results) Presentation (9 results) Remarks (1 results)

  • [Journal Article] Acceleration of convergence of the alternating least squares algorithm for nonlinear principal components analysis2012

    • Author(s)
      Kuroda, M., Mori, Y., Iizuka, M., and Sakakihara, M.
    • Journal Title

      Principal Component Analysis(P. Sanguansat Ed.), InTech Publications

      Pages: 129-144

    • Peer Reviewed
  • [Journal Article] Variable Selection in Principal Components Analysis of Qualitative Data Using the Accelerated ALS Algorithm2011

    • Author(s)
      Kuroda, M., Mori, Y., Izuka, M. and Sakakihara, M.
    • Journal Title

      Proceedings of the 7th conference of Asian Regional Section of IASC

      Volume: 83

  • [Journal Article] King-Werner method for EM algorithm2011

    • Author(s)
      Sakakihara, M. and Kuroda, M.
    • Journal Title

      Proceedings of the 7th conference of Asian Regional Section of IASC

      Volume: 84

  • [Journal Article] Principal components based on a subset of qualitative variables and its accelerated computational algorithm.2011

    • Author(s)
      Kuroda, M., Iizuka, M., Mori, Y. and Sakakihara, M.
    • Journal Title

      Invited Paper Session

      Volume: 42 Pages: 1-8

    • Peer Reviewed
  • [Journal Article] Acceleration of the alternating least squares algorithm for principal components analysis2011

    • Author(s)
      Kuroda, M., Mori, Y., Iizuka, M. and Sakakihara, M.
    • Journal Title

      Computational Statistics and Data Analysis

      Volume: 55 Pages: 143-153

    • Peer Reviewed
  • [Journal Article] Improvement of acceleration of the ALS Algorithm using the vectorεalgorithm. Proceedings of COMPSTAT 2010(L., Yves and S. Gilbert Eds.)2010

    • Author(s)
      Kuroda, M., Mori, Y., Iizuka, M. and Sakakihara, M.
    • Journal Title

      Psysica-Verlag, Heidelberg

      Pages: 1239-1246

    • Peer Reviewed
  • [Journal Article] Computing p-values in conditional independence models for a contingency table2010

    • Author(s)
      Kuroda, M., Hashiguchi, H. and Nakagawa, S.
    • Journal Title

      Computational Statistics

      Volume: 25 Pages: 57-70

    • Peer Reviewed
  • [Journal Article] Acceleration of the EM and ECM algorithms using the Aitkenδ^2 method for log-linear models with partially classified data2008

    • Author(s)
      Kuroda, M., Sakakihara, M. and Geng, Z.
    • Journal Title

      Statistics and Probability Letters

      Volume: 78 Pages: 2332-2338

    • Peer Reviewed
  • [Journal Article] Acceleration of the EM algorithm using the vector epsilon algorithm2008

    • Author(s)
      Wang, M., Kuroda, M., Sakakihara, M. and Geng, Z.
    • Journal Title

      Computational Statistics

      Volume: 23 Pages: 469-486

    • Peer Reviewed
  • [Journal Article] Convergence of componentwise Aitkenδ^2 acceleration of the EM algorithm. COMPSTAT 2008 : Proceedings in Computational Statistics(P. Brito Ed.)2008

    • Author(s)
      Sakakihara, M. and Kuroda, M.
    • Journal Title

      Psysica-Verlag, Heidelberg

      Pages: 597-903

    • Peer Reviewed
  • [Presentation] Variable selection in principal components analysis of qualitative data using the accelerated ALS algorithm2012

    • Author(s)
      Kuroda, M., Mori, Y., Iizuka, M. and Sakakihara, M.
    • Organizer
      7th Conference of Asian Regional Section of IASC
    • Place of Presentation
      Academia Sinica(台湾)
    • Year and Date
      2012-12-16
  • [Presentation] King-Werner method for EM algorithm2012

    • Author(s)
      Sakakihara, M. and Kuroda, M.
    • Organizer
      7th Conference of Asian Regional Section of IASC
    • Place of Presentation
      Academia Sinica(台湾)
    • Year and Date
      2012-12-16
  • [Presentation] Principal components based on a subset of qualitative variables and its accelerated computational algorithm. Invited Paper Session 422012

    • Author(s)
      Kuroda, M., Mori, Y., Izuka, M. and Sakakihara, M
    • Organizer
      The 58th World Statistics Congress of the International Statistical Institute(ISI2011)
    • Place of Presentation
      The Convention Centre Dublin(アイルランド)
    • Year and Date
      2012-08-22
  • [Presentation] 質的データの主成分分析と計算の加速化2012

    • Author(s)
      森裕一, 飯塚誠也, 黒田正博, 榊原道夫
    • Organizer
      日本計算機統計学会第25回大会
    • Place of Presentation
      函館市亀田福祉センター(北海道)
    • Year and Date
      2012-05-08
  • [Presentation] Acceleration of convergence for the alternating least squares iteration2011

    • Author(s)
      Sakakihara, M. and Kuroda, M.
    • Organizer
      4th CSDA International Conference on Computational and Financial Econometrics
    • Place of Presentation
      University of London(イギリス)
    • Year and Date
      2011-12-11
  • [Presentation] 交互最小二乗法の加速化-数値的検討2011

    • Author(s)
      黒田正博, 森裕一, 飯塚誠也, 榊原道夫
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      早稲田大学(東京都)
    • Year and Date
      2011-09-08
  • [Presentation] 主成分分析における交互最小二乗法の加速化2009

    • Author(s)
      黒田正博, 森裕一, 飯塚誠也, 榊原道夫
    • Organizer
      科研費シンポジウム「多変量データ解析法への計算機統計学・行動計量学的アプローチの新展開」
    • Place of Presentation
      大阪大学(大阪府)
    • Year and Date
      2009-12-04
  • [Presentation] Random table generation for decomposable log-linear models by Markov basis.2008

    • Author(s)
      Kuroda, M., Hashiguchi, H., Nakagawa, S. and Geng, Z.
    • Organizer
      Workshop on Computational Algebraic Statistics, Theories and Applications
    • Place of Presentation
      Kyoto University(京都府)
    • Year and Date
      2008-12-10
  • [Presentation] Double-secant acceleration for EM and ECM Algorithms for log-linear models with partially classified data2008

    • Author(s)
      Sakakihara, M. and Kuroda, M.
    • Organizer
      IASC 2008
    • Place of Presentation
      Pacifico Yokohama(神奈川県)
    • Year and Date
      2008-12-06
  • [Remarks]

    • URL

      http://www.soci.ous.ac.jp/~kuroda/publication.html

URL: 

Published: 2013-07-31  

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