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2009 Fiscal Year Final Research Report

A unified study on brain connectivity using statistical methods

Research Project

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Project/Area Number 19300088
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Cognitive science
Research InstitutionChiba University

Principal Investigator

WANG Jinfang  Chiba University, 大学院・理学研究科, 准教授 (10270414)

Co-Investigator(Kenkyū-buntansha) HARA Hisayuki  東京大学, 大学院・情報理工学系研究科, 助教 (40312988)
TSUKUMA Hisayuki  東邦大学, 医学部, 講師 (50424685)
Co-Investigator(Renkei-kenkyūsha) TAGURI Masaaki  千葉大学, 大学入試センター, 副所長 (10009607)
YU Wenwei  千葉大学, 大学院・工学研究科, 教授 (20312390)
Project Period (FY) 2007 – 2009
Keywordscain algebra / cain polynomial / conditional independence / contingency table / graphical model / Stein's phenomenon / Markov base / shrinkage estimator
Research Abstract

Probabilistic conditional independence (PCI) is a key for building statistical causal models, and we established an algebraic framework called the cain algebra for dealing with PCI. It is shown that the cain algebra is consistent with both the graphoid and the separoid. Further, we defined a new type of polynomials called the cain polynomials and showed that statistical models defined in terms of cain polynomials may be derived using tools of the cain polynomials.

  • Research Products

    (64 results)

All 2010 2009 2008 2007 Other

All Journal Article (33 results) (of which Peer Reviewed: 30 results) Presentation (27 results) Book (4 results)

  • [Journal Article] A universal algebraic approach for conditional independence2010

    • Author(s)
      Jinfang Wang
    • Journal Title

      Annals of the Institute of Statistical Mathematics (印刷中)

    • Peer Reviewed
  • [Journal Article] Minimal and minimal invariant Markov bases of decomposable models for contingency tables2010

    • Author(s)
      Hisayuki Hara, Satoshi Aoki, Akimichi Takemura
    • Journal Title

      Bernoulli Vol.16

      Pages: 208-233

    • Peer Reviewed
  • [Journal Article] A localization approach to improve iterative proportional scaling in Gaussian graphical models2010

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Journal Title

      Communications in Statistics-Theory and Methods (掲載確定)

    • Peer Reviewed
  • [Journal Article] Connecting tables with zero-one entries by a subset of a Markov basis2010

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Journal Title

      Algebraic Methods in Statistics and Probability (II-Urbana Volume) in AMS Contemporary Mathematics (掲載確定)

    • Peer Reviewed
  • [Journal Article] On connectivity of fibers with positive marginals in multiple logistic regression2010

    • Author(s)
      Hisayuki Hara, Akimichi Takemura, Ruriko Yoshida
    • Journal Title

      Journal of Multivariate Analysis Vol.101

      Pages: 909-925

    • Peer Reviewed
  • [Journal Article] 統計科学におけるシミュレーション技術の現状と今後の展望2010

    • Author(s)
      原尚幸, 松本章邦
    • Journal Title

      信頼性 31巻

      Pages: 244-249

    • Peer Reviewed
  • [Journal Article] 電力会社・ガス会社における気温リスクスワップの評価2010

    • Author(s)
      杉浦大地, 松本章邦, 原尚幸, 縄田和満
    • Journal Title

      日本保険・年金リスク学会論文誌 (掲載確定)

    • Peer Reviewed
  • [Journal Article] 中国の輸出政策の変更と希土類の価格変化の関係について2010

    • Author(s)
      福田一徳, 原尚幸, 縄田和満
    • Journal Title

      Journal of the Mining and Materials Processing Institute of Japan (掲載確定)

    • Peer Reviewed
  • [Journal Article] Generalized Bayes minim ax estimation of the normal mean mat rix with unknown covariance matrix2009

    • Author(s)
      Tsukuma, H
    • Journal Title

      Journal of Multivariate Analysis Vol.100

      Pages: 2296-2304

    • Peer Reviewed
  • [Journal Article] Shrinkage estimation in elliptically contoured distribution with restricted parameter space2009

    • Author(s)
      Tsukuma, H.
    • Journal Title

      Statistics & Decisions Vol.27

      Pages: 25-35

    • Peer Reviewed
  • [Journal Article] Minimax estimation of normal precisions via expansion estimators2009

    • Author(s)
      Tsukuma, H., Kubokawa, T.
    • Journal Title

      Journal of Statistical Planning and Inference Vol.139

      Pages: 295-309

    • Peer Reviewed
  • [Journal Article] Statistical Matching based on probabilistic conditional independence2009

    • Author(s)
      Jinfang Wang, Ping Jing
    • Journal Title

      Journal of the Japanese Society of Computational Statistics Vol.22

      Pages: 43-56

    • Peer Reviewed
  • [Journal Article] Bayes admissible estimation of the means in Poisson decomposable graphical models2009

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Journal Title

      Journal of Statistical Planning and Inference Vol.139

      Pages: 1297-1319

    • Peer Reviewed
  • [Journal Article] Markov bases for two-way subtable sum problems2009

    • Author(s)
      Hisayuki Hara, Akimichi Takemura, Ruriko Yoshida
    • Journal Title

      Journal of Pure and Applied Algebra Vol.213

      Pages: 1507-1521

    • Peer Reviewed
  • [Journal Article] Nonlinear Analysis of Body Response to Functional Electrical Stimulation on Hemiphlegic Subjects2009

    • Author(s)
      Wenwei Yu
    • Journal Title

      Journal of Engineering in Medicine part H(掲載決定)

    • Peer Reviewed
  • [Journal Article] Computation of Conditional Independence Using Cain Polynomials2008

    • Author(s)
      Jinfang Wang
    • Journal Title

      数理解析研究所講究録 1603巻

      Pages: 120-129

  • [Journal Article] 原子力発電所内請負労働者の安全衛生教育訓練の評価2008

    • Author(s)
      松本章邦, 原尚幸, 縄田和満
    • Journal Title

      日本原子力学会和文論文誌 7巻

      Pages: 428-438

    • Peer Reviewed
  • [Journal Article] シミュレーションが先導する未来社会2008

    • Author(s)
      山田貴博, 原尚幸, 藤井孝蔵, 宮本良之, 山本正宣
    • Journal Title

      計算工学 13巻

      Pages: 40-49

    • Peer Reviewed
  • [Journal Article] Stein's phenomenon in estimation of means restricted to a polyhedral convex cone2008

    • Author(s)
      H. Tsukuma, T. Kubokawa
    • Journal Title

      Journal of Multivariate Analysis Vol.99

      Pages: 141-164

    • Peer Reviewed
  • [Journal Article] Admissibility and minimaxity of Bayes estimators for a normal mean matrix2008

    • Author(s)
      H. Tsukuma
    • Journal Title

      Journal of Multivariate Analysis Vol.99

      Pages: 2251-2264

    • Peer Reviewed
  • [Journal Article] Test of mean difference for paired longitudinal data based on circular block bootstrap2008

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

      COMPSTAT2008 Proceedings in Computational Statistics (Physica-Verlag)

      Pages: 679-687

    • Peer Reviewed
  • [Journal Article] The Effectiveness of English Teaching in Japanese Elementary Schools Measured by Proficiency Tests Administered to seventh Year Students2008

    • Author(s)
      Katsuyama H., Nishigaki, C., Wang, J.
    • Journal Title

      RELC Journal

      Pages: 359-38

    • Peer Reviewed
  • [Journal Article] Computer-based Identification of Plantar Pressure in Diabetic Type 2 Subjects with and without Neuropathy2008

    • Author(s)
      R Acharya U, M.A. Rahman, Z. Aziz, T. P. Ha, Ng, E.Y.K, W. Yu, C. Law, T. Subramaniam, W. Y. Shuen, S. C. Fang
    • Journal Title

      Journal of Mechanics in Medicine and Biology

      Pages: 363-375

    • Peer Reviewed
  • [Journal Article] Improving on the maximum likelihood estimators of the means in Poissond ecomposable graphical models2007

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Journal Title

      Journal of Multivariate Analysis Vol.98

      Pages: 410-434

    • Peer Reviewed
  • [Journal Article] Simultaneous estimation of normal precision matrices2007

    • Author(s)
      Tsukuma, H., Kubokawa, T.
    • Journal Title

      Journal of Statistical Studies Vol26

      Pages: 119-138

    • Peer Reviewed
  • [Journal Article] Maximization of correlation under a quadratic constraint2007

    • Author(s)
      Hashimoto, A., Miyano, H., Taguri, M
    • Journal Title

      Journal of the Japan Statistical Society Vol.37

      Pages: 105-121

    • Peer Reviewed
  • [Journal Article] Test of mean difference for paired longitudinal data using circular block bootstrap2007

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

      Bulletin of the 56^<th> Session of the International Statistical Institute (CD-ROM)

  • [Journal Article] The cain algebra, the semigraphoid and the separoid、数理解析研究所講究録

    • Author(s)
      Wang, J.
    • Journal Title

      RIMS共同研究「Statistical Decision for Multiple Comparison and Its Related Topics」 1560巻

      Pages: 145-154

  • [Journal Article] Conditions for swappability of records in a microdata set when some marginals are fixed

    • Author(s)
      Akimichi Takemura, Hisayuki Hara
    • Journal Title

      Computational Statistics Vol.22

      Pages: 173-185

    • Peer Reviewed
  • [Journal Article] Estimation of parameters in a linear regression model under the Kullback-Leibler loss

    • Author(s)
      Kubokawa, T., Tsukuma, H.
    • Journal Title

      Journal of Statistical Planning and Inference Vol.137

      Pages: 2487-2508

    • Peer Reviewed
  • [Journal Article] Methods for improvement in estimation of a normal mean matrix

    • Author(s)
      Tsukuma, H., Kubokawa, T.
    • Journal Title

      Journal of Multivariate Analysis Vol98

      Pages: 1592-1610

    • Peer Reviewed
  • [Journal Article] Factor structure of the National Center Test 2005 by the full-information pseudo-ML method

    • Author(s)
      Shojima, K., Otsu, T., Mayekawa, S., Taguri, M., Yanai, H.
    • Journal Title

      Behaviormetrika Vol.34

      Pages: 131-156

    • Peer Reviewed
  • [Journal Article] 大学で実施されている入試研究の実態調査

    • Author(s)
      林篤裕, 伊藤圭, 田栗正章
    • Journal Title

      大学入試研究ジャーナル 18巻

      Pages: 147-153

    • Peer Reviewed
  • [Presentation] Hierarchical subspace models for contingency tables2010

    • Author(s)
      Hisayuki Hara, Tomonari Sei, Akimichi Takemura
    • Organizer
      2010 Spring Southeastern Sectional Meeting of American Mathematical Society
    • Place of Presentation
      University of Kentucky
    • Year and Date
      2010-03-28
  • [Presentation] An universal algebraic approach for probabilistic conditional independence2010

    • Author(s)
      Jinfang Wang
    • Organizer
      日本数学会 2010年度年会
    • Place of Presentation
      慶応大学
    • Year and Date
      2010-03-25
  • [Presentation] Rubin's Model for Causal Inference : a review2010

    • Author(s)
      Jinfang Wang
    • Organizer
      短期共同研究「Statistical Experiment and Its Related Topics」(京都大学数理解析研究所)
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-03-09
  • [Presentation] Occupational safety conditions and the use of contract workers : evidence from the nuclear power industry in Japan2009

    • Author(s)
      松本章邦, 原尚幸, 縄田和満
    • Organizer
      日本経済学会秋季大会
    • Place of Presentation
      専修大学
    • Year and Date
      2009-10-10
  • [Presentation] Hierarchical subspace models for contingency tables2009

    • Author(s)
      原尚幸, 清智也, 竹村彰通
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-27
  • [Presentation] ロジスティック回帰モデルの正確検定とマルコフ基底2009

    • Author(s)
      原尚幸, 竹村彰通
    • Organizer
      統計学関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
  • [Presentation] 天候デリバティブのための東京における降水量の統計的分析2009

    • Author(s)
      松本章邦, 原尚幸, 縄田和満
    • Organizer
      統計学関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-08
  • [Presentation] An algebraic approach to probabilistic conditional independence2009

    • Author(s)
      Jinfang Wang
    • Organizer
      1st IMS Asia Pacific Rim Meetings
    • Place of Presentation
      Seoul National University, Korea
    • Year and Date
      2009-06-29
  • [Presentation] On connectivity of fibers with positive marginals in multiple logistic regression2009

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Organizer
      1st IMS Asia Pacific Rim Meetings
    • Place of Presentation
      Seoul National University、Korea
    • Year and Date
      2009-06-29
  • [Presentation] Some results on connectivity of fibers with a subset of a Markov basis2009

    • Author(s)
      Akimichi Takemura, Hisayuki Hara
    • Organizer
      1047th AMS Meeting, American Mathematical Society
    • Place of Presentation
      University of Illinois at Urbana-Champaign
    • Year and Date
      2009-03-28
  • [Presentation] Failure of bootstrap in matched sampling2009

    • Author(s)
      汪金芳
    • Organizer
      日本統計学会春季集会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2009-03-06
  • [Presentation] A localization of iterative proportional scaling from a view point of decomposition of Gaussian graphical models2008

    • Author(s)
      Hisayuki Hara
    • Organizer
      CASTA2008
    • Place of Presentation
      京大会館
    • Year and Date
      2008-12-11
  • [Presentation] An algorithm for enumerating all clique trees and perfect sequences of chordal graph2008

    • Author(s)
      Yasuko Matsui, Hisayuki Hara
    • Organizer
      IASC2008
    • Place of Presentation
      Pacifico Yokohama
    • Year and Date
      2008-12-07
  • [Presentation] Rubin's Model for Causal Inference : a review2008

    • Author(s)
      汪金芳
    • Organizer
      人工知能学会第72回 人工知能基本問題研究会
    • Place of Presentation
      電気通信大学
    • Year and Date
      2008-11-07
  • [Presentation] 原子力発電所内請負労働者の安全衛生教育訓練2008

    • Author(s)
      松本章邦・原尚幸・縄田和満
    • Organizer
      日本経済学会2008年度秋季大会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-09-14
  • [Presentation] A localization approach to improve iterative proportional scaling in Gaussian graphical models2008

    • Author(s)
      原尚幸・竹村彰通
    • 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
  • [Presentation] Markov bases for two-way subtable sum problems2008

    • Author(s)
      原尚幸・竹村彰通・Ruriko Yoshida
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      慶応義塾大学
    • Year and Date
      2008-09-08
  • [Presentation] Computation of conditional independence relations using cain polynomials2008

    • Author(s)
      Jinfang Wang
    • Organizer
      Compstat' 2008
    • Place of Presentation
      Port, Portugal
    • Year and Date
      2008-08-25
  • [Presentation] Markov bases for two-way subtable sum problems2008

    • Author(s)
      Hisayuki Hara, Akimichi Takemura
    • Organizer
      7th World Congress in Probability and Statistics
    • Place of Presentation
      National University of Singapore
    • Year and Date
      2008-07-15
  • [Presentation] Computation of Conditional In dependence Using Cain Polynomials2008

    • Author(s)
      汪金芳
    • Organizer
      RIMS共同研究による研究会 "Statistical Analysis of Various Models"
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-03-12
  • [Presentation] 不確実区間と一般化尤度に基づく個票データの開示と解析、合同研究集会「官庁統計データの公開における諸問題の研究」2007

    • Author(s)
      汪金芳
    • Organizer
      合同研究集会「官庁統計データの公開における諸問題の研究」
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2007-11-17
  • [Presentation] Cain 多項式による条件付き独立性の自動計算について2007

    • Author(s)
      汪金芳
    • Organizer
      科研基盤 (A)「計算代数統計学の展開」
    • Place of Presentation
      ホテル日航豊橋
    • Year and Date
      2007-10-27
  • [Presentation] 竹村彰通、標本数2のファイバーの構造と分解可能モデルのマルコプ基底2007

    • Author(s)
      原尚幸, 青木敏
    • Organizer
      2007年度統計学関連連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
  • [Presentation] 財務データによる1990年代日本の雇用調整行動の検証2007

    • Author(s)
      松本章邦, 原尚幸, 縄田和満
    • Organizer
      2007年度統計学関連連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
  • [Presentation] Cain polynomials and conditional independence2007

    • Author(s)
      汪金芳
    • Organizer
      2007年度統計関連学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-07
  • [Presentation] A universal algebraic approach to probabilistic conditional independence2007

    • Author(s)
      Wang, J.
    • Organizer
      56th Session of the ISI
    • Place of Presentation
      Lisboa (リスボン)
    • Year and Date
      2007-08-28
  • [Presentation] データスワップとマルコフ基底の関係2007

    • Author(s)
      原尚幸, 竹村彰通
    • Organizer
      応用統計学会2007年度年会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2007-05-24
  • [Book] 数理科学事典 第2版、「部門V3.2標本調査」2009

    • Author(s)
      汪金芳
    • Total Pages
      1450
    • Publisher
      丸善
  • [Book] The Man-Machine Interaction : The influence of Artificial Intelligence on Rehabilitation Robotics(M. Lungarella et al (Eds.))Artificial Intelligence in the 21st Century-Designing the Future, Lecture Notes in Artificial Intelligence-Selected Papers from Proc.of the 50th Anniversary Summit of AI2008

    • Author(s)
      Alejandro Hernandez Arieta, Ryu Kato, Hiroshi Yokoi, Wenwei Yu
    • Publisher
      Springer-Verlag
  • [Book] Cross-Modal Interaction in the Brain : An f-MRI study of an Adaptable EMG Prosthetic Hand with Biofeedback. The Encyclopedia of Healthcare Information Systems Eds Wickramasinghe and Geisler2008

    • Author(s)
      Alejandro Hernandez Arieta, Ryu Kato, Hiroshi Yokoi, Wenwei Yu, Rolf Pfeifer, Arai Tamio
    • Publisher
      IGI
  • [Book] C・R・ラオ、やさしい統計入門---視聴率調査から多変量解析まで2007

    • Author(s)
      田栗正章, 藤越康祝, 柳井晴夫
    • Total Pages
      286
    • Publisher
      講談社

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Published: 2011-06-18   Modified: 2016-04-21  

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