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Resampling method for singular statistical model

Research Project

Project/Area Number 17500177
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionHokkaido University

Principal Investigator

IMAI Hideyuki  Hokkaido University, 大学院・情報科学研究科, 准教授 (10213216)

Co-Investigator(Kenkyū-buntansha) SATO Yoshiharu  北海道大学, 大学院・情報科学研究科, 教授 (80091461)
KUDO Mineichi  北海道大学, 大学院・情報科学研究科, 教授 (60205101)
TANEICHI Nonuhiro  鹿児島大学, 理学部, 教授 (00207200)
MURAI Tetsuya  北海道大学, 大学院・情報科学研究科, 准教授 (90201805)
SAKURAI Hirohito  北海道大学, 大学院・情報科学研究科, 助教 (00333625)
Project Period (FY) 2005 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,810,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥510,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Keywordsブートストラップ法 / モデル選択 / 最近隣法 / 正則化 / 非加法的測度 / 判別分析 / 誤判別率 / 機械学習 / バイアス補正 / 信頼領域 / 多項分布モデル / パターン認識 / 変化点問題 / ニューラルネットワーク / モデル同定
Research Abstract

観測されたデータがどのような集団に属しているかがはっきりしている場合には、どの方法を使って解析すればよいか、また、その手法がどのような性質を持っているかがよく判っている。一方、データの属する集団の形状によっては、今までに使われている手法がそのままでは使えない場合があることも判ってきた。そのような場合に、データを繰返し使って解析をする手法がどのくらい有効であるかを、数値実験と、理論の両面から考察した。

Report

(5 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (47 results)

All 2009 2008 2007 2006 2005

All Journal Article (24 results) (of which Peer Reviewed: 17 results) Presentation (22 results) Book (1 results)

  • [Journal Article] Kernelmethods for regression model based on variable selection2008

    • Author(s)
      S. Ikeda and Y. Sato
    • Journal Title

      International Journal of Knowledge Engineering and Soft Data Paradigms Vol.1

      Pages: 49-62

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Approximations of the distributions of test statistics for homogeneity of a product multinomialmodel2008

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Journal Title

      Communications in Statistics Vol.37

      Pages: 1610-1631

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Kernel Methods for regression model based on variable selection2008

    • Author(s)
      S. Ikeda and Y. Sato
    • Journal Title

      International Journal of Knowledge Eng ineering and Soft Data Paradigms 1

      Pages: 49-62

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Approximations of the distributions of test statistics for homogeneity of a product multinomial model2008

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Journal Title

      Communications in Statistics 37

      Pages: 1610-1631

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A unified framework ofsubspace identification for D.O.A. estimation2007

    • Author(s)
      A. Tanaka, H. Imai, and M. Miyakoshi
    • Journal Title

      IEICE Transactions on Fundamentals Vol.E90-A

      Pages: 419-428

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Integrated kernels and their properties2007

    • Author(s)
      A. Tanaka, H. Imai, M. Kudo and M. Miyakoshi
    • Journal Title

      Pattern Recognition Vol.40

      Pages: 2930-2938

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Improved transformed statisticsfor the test of independent incontingency tables2007

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Journal Title

      Journal of Multivariate Analysis Vol.98

      Pages: 1630-1657

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A teststatistics in canonical correlationanalysis for categorical variables2007

    • Author(s)
      K. Aoki and Y. Sato
    • Journal Title

      Behaviormetrika Vol.34

      Pages: 59-74

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A unified framework of subspace identification for D.O.A. estimation2007

    • Author(s)
      A. Tanaka, H. Imai, and M. Miyakoshi
    • Journal Title

      IEICE Transactions on Fundamentals E90-A

      Pages: 419-428

    • NAID

      110007522127

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Integrated kernels and their properties2007

    • Author(s)
      A. Tanaka, H. Imai, M. Kudo, and M. Miyakoshi
    • Journal Title

      Pattern Recognition 40

      Pages: 2930-2938

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Improved transformed statistics for the test of independence in contingency tables2007

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Journal Title

      Journal of Multivariate Analysis 98

      Pages: 1630-1657

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A test statistic in canonical correlation analysis for categorical variables2007

    • Author(s)
      Aoki, K., Sato, Y.
    • Journal Title

      Behaviormetrika 34

      Pages: 59-74

    • NAID

      110006240071

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Clustering mixed datausing spherical representation2006

    • Author(s)
      Y. Sato
    • Journal Title

      Knowledge-based Intelligente Information and Engineering Systems Vol.1

      Pages: 94-101

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] 線形制約の一般解によるパラメトリック部分射影フィルタの解釈とアフィン制約付き復元問題への応用2006

    • Author(s)
      田中章, 今井英幸, 宮腰政明
    • Journal Title

      電子情報通信学会論文誌 Vol.J89-A

      Pages: 679-681

    • NAID

      110007386133

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reduction of attribute values for Kansei representation2006

    • Author(s)
      Y. Muto, M. Kudo and T. Murai
    • Journal Title

      Journalof Advanced Computational Intelligence and Intelligent Informatics Vol.10

      Pages: 666-672

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Test of mean difference in longitudinal databased on block resampling2006

    • Author(s)
      H. Sakurai and M. Taguri
    • Journal Title

      2006Proceedings in Computational Statistics Vol.1

      Pages: 1087-1094

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonparametricclassifier-independent featureselection2006

    • Author(s)
      N. Abe and M. Kudo
    • Journal Title

      Pattern Recognition Vol.39

      Pages: 737-746

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Test of mean difference in longitudinal data based on block resampling2006

    • Author(s)
      Sakurai, H., Taguri, M.
    • Journal Title

      COMPSTAT2006 Proceedings in Computational Statistics II

      Pages: 1087-1094

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Clustering mixed data using spherical representation2006

    • Author(s)
      Sato, Y.
    • Journal Title

      Knowledge-Based Intelligent Information and Engineering Systems (Lecture Notes in Computer Science) LNAI4251

      Pages: 94-101

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Moments of aggregation operators of Choquet integral family2006

    • Author(s)
      Imai, H., Torra, V.
    • Journal Title

      日本計算機統計学会第20回大会論文集

      Pages: 57-60

    • NAID

      110006209276

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Reduction of attribute values for Kansei representation2006

    • Author(s)
      Muto, Y., Kudo, M., Murai, T.
    • Journal Title

      Journal of Advanced Computational Intelligence and Intelligent Informatics 10(5)

      Pages: 666-672

    • Related Report
      2006 Annual Research Report
  • [Journal Article] 両方向N-gram確率を用いた誤り文字検出法2005

    • Author(s)
      河田岳大, 工藤峰一, 中村篤祥, 外山淳
    • Journal Title

      電子情報通信学会論文誌 Vol.J88-D

      Pages: 629-635

    • NAID

      110003203211

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A test for redundancy of some items and categories in categorical canonical correlation analysis2005

    • Author(s)
      Aoki, K., Sato, Y.
    • Journal Title

      Proceedings of the 55th Session of the International Statistical Institute CD-ROM

      Pages: 1608-1608

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Derivation and performance evaluation of a test statistic in canonical correlation analysis for categorical data,2005

    • Author(s)
      Aoki, K., Sato, Y.
    • Journal Title

      Proceedings of the 5th IASC Asian Conference on Statistical Computing Vol.1

      Pages: 5-8

    • Related Report
      2005 Annual Research Report
  • [Presentation] A weight representation for fuzzyconstraint-based AHP2008

    • Author(s)
      S. Ohnishi, Y. Yamanoi, and H. Imai
    • Organizer
      12th International Conference of Information Processing and Managementof Uncertainty in Knowledge-Based Systems
    • Place of Presentation
      Hotel Amaragua, Malaga Spain
    • Related Report
      2008 Final Research Report
  • [Presentation] Noisy BBS based on jointdiagonalization of differences ofcorrelation matrices2008

    • Author(s)
      A. Tanaka, H. Imai and M. Miyakoshi
    • Organizer
      10th IASTED international Conferences Signal and Image Processing
    • Place of Presentation
      Kailua-Kona Hotel, Hawaii USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Optimal kernel in a classof kernels with and invariantmetric2008

    • Author(s)
      A. Tanaka, H. Imai, M. Kudo and M. Miyakoshi
    • Organizer
      The Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition
    • Place of Presentation
      University of Central Florida, Orland USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Parameter estimation for events in the divided observation periods in a Poisson process2008

    • Author(s)
      M. Sera, H. Imai and Y. Sato
    • Organizer
      18th International Conference on Computational Statistics
    • Place of Presentation
      University of Porto, Port Portugal
    • Related Report
      2008 Final Research Report
  • [Presentation] A weight representation for fuzzy constraint-based AHP2008

    • Author(s)
      S. Ohnishi, Y. Yamanoi, and H. Imai
    • Organizer
      12^<th> Conference of Inform ation Processing and Management of Unc ertainty in Knowledge-Based Systems
    • Place of Presentation
      Hotel Amaragua, Malaga Spain
    • Related Report
      2008 Annual Research Report
  • [Presentation] Noisy BBS based-on joint diagonalization of differences of correlation matrices2008

    • Author(s)
      A. Tanaka. H. Imai and M Miyakoshi
    • Organizer
      10^<th> IASTED international Conferences Signal and Image Processing
    • Place of Presentation
      Kailua-Kona Hotel, Hawaii USA
    • Related Report
      2008 Annual Research Report
  • [Presentation] Optimal kernel in a class of kernels with and invariant metric2008

    • Author(s)
      A. Tanaka. H. Imai, M. Kudo and M. Miyakoshi
    • Organizer
      The Joint IAPR International Workshops on Syntactical and Structural Pattern Recognition
    • Place of Presentation
      University of Central Florida, Orland USA
    • Related Report
      2008 Annual Research Report
  • [Presentation] Parameter estimation for events in the divided observation periods in a Poisson process2008

    • Author(s)
      M. Sera. H. Imai and Y. Sato
    • Organizer
      18^<th> International Conference on Comput ational Statistics
    • Place of Presentation
      University of Porto, Port Portugal
    • Related Report
      2008 Annual Research Report
  • [Presentation] Selection of correlation matricesfor second order statistics basedblind source separation2007

    • Author(s)
      A. Tanaka, H. Imai, and M. Miyakoshi
    • Organizer
      IEEEStatistical Signal ProcessingWorkshop 2007
    • Place of Presentation
      Monona Terrace Convention Center, Madison, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] k-means method for binaryand mixed data and related methods2007

    • Author(s)
      Y. Sato
    • Organizer
      The 2007 International Associationfor Statistical Computing-Asian Region Section Special Conference
    • Place of Presentation
      Seoul Press Center, Seoul Korea
    • Related Report
      2008 Final Research Report
  • [Presentation] A method foreliminating the horseshoe effect incorrespondence analysis2007

    • Author(s)
      K. Aoki, and Y. Sato
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2008 Final Research Report
  • [Presentation] Kernel regression and variableselection problem2007

    • Author(s)
      S. Ikeda, J. Tsuchiya and Y. Sato
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2008 Final Research Report
  • [Presentation] Performance of an asymptoticapproximation for the distributionsof statistics for multinomialhomogeneity test2007

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2008 Final Research Report
  • [Presentation] Test ofmean difference for paired longitudinal data using circularblock bootstrap2007

    • Author(s)
      H. Sakurai and M. Taguri
    • Organizer
      The 56th Session ofthe International Statistical Institute
    • Place of Presentation
      Lisboa Congress Center, Lisbon Portugal
    • Related Report
      2008 Final Research Report
  • [Presentation] Selection of Correlation Matrices for Second-Order-Statistics-Based Blind Source Separation2007

    • Author(s)
      A. Tanaka, H. Imai, and M. Miyakoshi
    • Organizer
      IEEE Statistical Signal Processing Workshop 2007
    • Place of Presentation
      Monona Terrace Convention Center, Madison, USA
    • Related Report
      2007 Annual Research Report
  • [Presentation] k-means method for binary and mixed data and related methods2007

    • Author(s)
      Y. Sato
    • Organizer
      The 2007 International Association for Statistical Computing-Asian Region Section Special Conference
    • Place of Presentation
      Seoul Press Center, Seoul, Korea
    • Related Report
      2007 Annual Research Report
  • [Presentation] A method for eliminating the horseshoe effect in correspondence analysis2007

    • Author(s)
      K. Aoki, and Y. Sato
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Kernel Regression and Variable Selection Problem2007

    • Author(s)
      S. Ikeda, J. Tsuchiya and Y. Sato
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Performance of an asymptotic approximation for the distributions of statistics for multinomial homogeneity test2007

    • Author(s)
      N. Taneichi and Y. Sekiya
    • Organizer
      The 9th Japan-China Symposium on Statistics
    • Place of Presentation
      北海道大学
    • Related Report
      2007 Annual Research Report
  • [Presentation] Test of mean difference for paired longitudinal data using circular block bootstrap2007

    • Author(s)
      H. Sakurai and M. Taguri
    • Organizer
      The 56th Session of the International Statistical Institute
    • Place of Presentation
      Lisboa Congress Center, Lisbon, Portugal
    • Related Report
      2007 Annual Research Report
  • [Presentation] Moments of aggregation operators of Choquet integral family2006

    • Author(s)
      H. Imai and V. Torra
    • Organizer
      日本計算機統計学会第20回大会
    • Place of Presentation
      同志社大学
    • Related Report
      2008 Final Research Report
  • [Presentation] A test forredundancy of some items andcategories in categorical correlationanalysis2005

    • Author(s)
      K. Aoki and Y. Sato
    • Organizer
      Proceedings of the 55th Session of the International Statistical Institute
    • Place of Presentation
      Sydney Australia
    • Related Report
      2008 Final Research Report
  • [Book] 多変量データの分類2009

    • Author(s)
      佐藤義治
    • Total Pages
      178
    • Publisher
      朝倉書店
    • Related Report
      2008 Annual Research Report 2008 Final Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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