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Theory of Bayesian Multiscale Bootstrap and its Applications

Research Project

Project/Area Number 20500254
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionTokyo Institute of Technology

Principal Investigator

SHIMODAIRA Hidetoshi  Tokyo Institute of Technology, 大学院・情報理工学研究科, 准教授 (00290867)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2008: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Keywordsリサンプリング / マルチスケール / スケーリング則 / 仮説検定 / 信頼度 / 機械学習 / バイオインフォマティクス / モデル選択 / ブートストラップ / アルゴリズム / 統計数学 / 系統進化 / 統計的仮説検定 / ランダムネス
Research Abstract

A resampling algorithm based on a scaling-law of randomness has been studied for computing a highly accurate confidence level of data analysis. In a previous study, we have proposed multiscale bootstrap method which computes an approximately unbiased confidence level (p-value) of statistical hypothesis testing in a frequentist sense. In this study, we proposed a method for computing the posterior probability in a Bayesian sense. We have shown a connection between the frequentist and the Bayesian confidence levels. We also studied a confidence level, as well as an active learning, for machine learning using the scaling-law of the randomness.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (31 results)

All 2010 2009 2008 Other

All Journal Article (4 results) (of which Peer Reviewed: 4 results) Presentation (21 results) Book (2 results) Remarks (4 results)

  • [Journal Article] A scale-free structure prior for graphical models with applications in functional genomics2010

    • Author(s)
      P.Sheridan, T.Kamimura, H.Shimodaira
    • Journal Title

      PLoS ONE 5

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Frequentist and Bayesian measures of confidence viamultiscale bootstrap for testing three regions2010

    • Author(s)
      Hidetoshi Shimodaira
    • Journal Title

      Annals of the Institute of Statistical Mathematics 62

      Pages: 189-208

    • NAID

      40016969858

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A scale-free structure prior for graphical models with applications in functional genomics2010

    • Author(s)
      P.Sheridan
    • Journal Title

      PLoS ONE

      Volume: 5

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Frequentist and Bayesian measures of confidence via multiscale bootstrap for testing three regions2010

    • Author(s)
      Hidetoshi Shimodaira
    • Journal Title

      Annals of the Institute of Statistical Mathematics 62

      Pages: 189-208

    • NAID

      40016969858

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] Multiscale Bagging with Applications to Classification and Active Learning2010

    • Author(s)
      H.Shimodaira
    • Organizer
      The 2nd Asian Conference on Machine Learning(ACML2010)
    • Place of Presentation
      東工大 (東京)
    • Year and Date
      2010-11-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Multiscale-bagging with Applications to Classification2010

    • Author(s)
      M.Aoki
    • Organizer
      The 2nd Asian Conference on Machine Learning (ACM L2010)
    • Place of Presentation
      東工大 (東京)
    • Year and Date
      2010-11-10
    • Related Report
      2010 Final Research Report
  • [Presentation] Multiscale-bagging with Applications to Classification2010

    • Author(s)
      M.Aoki
    • Organizer
      The 2nd Asian Conference on Machine Learning (ACML2010)
    • Place of Presentation
      東工大(東京)
    • Year and Date
      2010-11-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] Multiscale Bagging with Applications to Classification and Active Learning2010

    • Author(s)
      H.Shimodaira
    • Organizer
      The 2nd Asian Conference on Machine Learning (ACML2010)
    • Place of Presentation
      東工大(東京)
    • Year and Date
      2010-11-10
    • Related Report
      2010 Annual Research Report
  • [Presentation] Assessing statistical reliability of LiNGAM via multiscale bootstrap2010

    • Author(s)
      Y.Komatsu
    • Organizer
      International Conference on Artificial Neural Networks(ICANN2010)
    • Place of Presentation
      Thessaloniki(ギリシャ)
    • Year and Date
      2010-09-15
    • Related Report
      2010 Final Research Report
  • [Presentation] Assessing statistical reliability of LiNGAM via multiscale boostrap2010

    • Author(s)
      Y.Komatsu
    • Organizer
      International Conference on Artificial Neural Networks (ICANN2010)
    • Place of Presentation
      Thessaloniki(ギリシャ)
    • Year and Date
      2010-09-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] 不完全データにおける情報量規準の状態空間モデルへの応用2010

    • Author(s)
      青井遥
    • Organizer
      2010年度 統計関連学会連合大会
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2010-09-07
    • Related Report
      2010 Annual Research Report
  • [Presentation] マルチスケール・ブートストラップ法を用いたQuery by baggingの改良2010

    • Author(s)
      三根宏太
    • Organizer
      2010年度 統計関連学会連合大会
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] ブートストラップ確率の計算誤差を修正するためのマルチスケール・ブートストラップ法:LiNGAM因果構造推定の場合2010

    • Author(s)
      小松勇介
    • Organizer
      2010年度 統計関連学会連合大会
    • Place of Presentation
      早稲田大学(東京)
    • Year and Date
      2010-09-06
    • Related Report
      2010 Annual Research Report
  • [Presentation] 系統樹推定におけるブートストラップ法2010

    • Author(s)
      下平英寿
    • Organizer
      日本進化学会第12回 東京大会
    • Place of Presentation
      東工大(東京)
    • Year and Date
      2010-08-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] 多数の片側検定に関するFalse Discovery Rateのマルチスケール計算2009

    • Author(s)
      下平英寿
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] マルチスケール・バギングによる判別分析の信頼性評価2009

    • Author(s)
      青木正良
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
    • Related Report
      2009 Annual Research Report
  • [Presentation] マルチスケール・ブトストラップを用いた信頼度計算:LiNGAMによる因果モデル探索の場合2009

    • Author(s)
      小松勇介
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] Approximately unbiased tests for cone shaped regions via multiscale bootstrap2009

    • Author(s)
      Hidetoshi Shimodaira
    • Organizer
      2009 Annual Meeting, Statistical Society of Canada
    • Place of Presentation
      The University of British Columbia(カナダ)
    • Year and Date
      2009-06-03
    • Related Report
      2010 Final Research Report
  • [Presentation] Approximately unbiased tests for cone shaped regions via multiscale bootstrap2009

    • Author(s)
      Hidetoshi Shimodaira
    • Organizer
      2009 Annual Meeting, Statistical Society of Canada
    • Place of Presentation
      The University of British Columbia
    • Year and Date
      2009-06-03
    • Related Report
      2009 Annual Research Report
  • [Presentation] マルチスケール・ブートストラップ法によるランダムネスの測定2009

    • Author(s)
      下平英寿
    • Organizer
      統計学会春季集会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2009-03-06
    • Related Report
      2008 Annual Research Report
  • [Presentation] Measuring the Randomness of Data via Multiscale Bootstrap with Applications to Evolutionary Tree Inference2009

    • Author(s)
      Hidetoshi Shimodaira
    • Organizer
      International Symposium of Case Studies involving Statistics and Operations Research for Decision Making
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2009-03-02
    • Related Report
      2008 Annual Research Report
  • [Presentation] Frequentist and Bayesian measures of confidence via multiscale bootstrap for testing three regions2008

    • Author(s)
      Hidetoshi Shimodaira
    • Organizer
      A Bayesian Approach to Statistical Inference and Its Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-10-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Frequentist and Bayesian measures of confidence viamultiscale bootstrap for testing three regions2008

    • Author(s)
      Hidetoshi Shimodaira
    • Organizer
      A Bayesian Approach to Statistical Inference and Its Related Topics
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-10-22
    • Related Report
      2008 Annual Research Report
  • [Presentation] マルチスケール・ブートストラップ法による頻度論的およびベイズ的な信頼度計算2008

    • Author(s)
      下平英寿
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Presentation] Rを用いたブートストラップ法の大規模並列計算2008

    • Author(s)
      下平英寿
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2008-09-09
    • Related Report
      2008 Annual Research Report
  • [Book] 21世紀の統計科学III数理・計算の統計科学2008

    • Author(s)
      竹村彰通, 北川源四郎, 藤越康祝, 久保川達也, 塚原英敦, 田中勝人, 内田雅之, 下平英寿, 渡辺美智子, 古澄英男, 生駒哲一
    • Publisher
      東京大学出版会
    • Related Report
      2010 Final Research Report
  • [Book] 21世紀の統計科学I I I 数理・計算の統計科学2008

    • Author(s)
      竹村彰通, 北川源四郎, 藤越康祝, 久保川達也, 塚原英敦, 田中勝人, 内田雅之, 下平英寿, 渡辺美智子, 古澄英男, 生駒哲一
    • Publisher
      東京大学出版会
    • Related Report
      2008 Annual Research Report
  • [Remarks] ホームページ

    • URL

      http://www.is.titech.ac.jp/~shimo/index-j.html

    • Related Report
      2010 Final Research Report
  • [Remarks] 大田区の区民大学(東京工業大学連携講座)「DNA情報からよみとる生物進化とランダムネス」

    • URL

      http://www.is.titech.ac.jp/~shimo/kumin2010/index-i.html

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www.is.titech.ac.jp/~shimo/index-j.html

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.is.titech.ac.jp/~shimo/index-j.html

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2008-04-01   Modified: 2016-04-21  

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