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2009 Fiscal Year Final Research Report

Developments of computational algebraic statistics

Research Project

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Project/Area Number 18200019
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Statistical science
Research InstitutionThe University of Tokyo

Principal Investigator

TAKEMURA Akimichi  The University of Tokyo, 大学院・情報理工学系研究科, 教授 (10171670)

Co-Investigator(Renkei-kenkyūsha) AOKI Satoshi  鹿児島大学, 理工学研究科数理情報科学専攻, 准教授 (90332618)
ANAI Hirokazu  株式会社富士通研究所, ITコア研究所, 研究員 (20417520)
OOSUGI Hidefumi  立教大学, 理学部, 助教授 (80350289)
KAMIYA Hidehiko  岡山大学, 文化科学研究科, 助教授 (50300687)
KURIKI Satoshi  情報・システム研究機構, 統計数理研究所, 教授 (90195545)
SAI Shidou  岡山商科大, 経済学部, 教授 (30186910)
SAKATA Toshio  九州大学, 大学院・芸術工学研究院, 教授 (20117352)
SHIBUYA MASAAKI  慶應義塾大学, 名誉教授 (20146723)
NIKI Naoto  東京理科大学, 工学部, 教授 (10000209)
HIBI Takayuki  大阪大学, 情報科学研究科, 教授 (80181113)
HOSHINO Nobuaki  金沢大学, 経済学部, 准教授 (00313627)
HORIMOTO Katsuhisa  産業技術総合研究所, 生命情報工学研究センター, 研究チーム長 (40238803)
HONDA Toshio  一橋大学, 経済学研究科, 教授 (30261754)
Project Period (FY) 2006 – 2009
Keywordsマルコフ連鎖モンテカルロ法 / トーリックイデアル / グレブナー基底 / 条件つき検定
Research Abstract

In this project we had many original results in particular on Markov bases and experimental design and published them in international academic journals. We had over 60 published papers from this project and the project was extremely fruitful.

  • Research Products

    (53 results)

All 2010 2009 2008 2007 2006 Other

All Journal Article (45 results) (of which Peer Reviewed: 45 results) Presentation (6 results) Book (1 results) Remarks (1 results)

  • [Journal Article] Non-very ample configurations arising from contingency tables2010

    • Author(s)
      Hidefumi Ohsugi, Takayuki Hibi.
    • Journal Title

      Annals f the Institute of Statistical Mathematics to appear.

    • Peer Reviewed
  • [Journal Article] Toric rings and ideals of nested configurations.2010

    • Author(s)
      Hidefumi Ohsugi, Takayuki Hibi.
    • Journal Title

      Journal of Commutative Algebra to appear.

    • Peer Reviewed
  • [Journal Article] Graph presentations for moments of noncentral Wishart distributions and their applications.2010

    • Author(s)
      Satoshi Aoki, Yasuhide Numata.
    • Journal Title

      Annals of the Institute of Statistical Mathematics to appear.

    • Peer Reviewed
  • [Journal Article] Priocity of non-central integral arrangements modulo positive integers.2010

    • Author(s)
      Hidehiko Kamiya, A.Takemura, Hiroaki Terao.
    • Journal Title

      Annals of Combinatorics to appear.

    • Peer Reviewed
  • [Journal Article] Binomial edge ideals and conditional independence statements.2010

    • Author(s)
      Juergen Herzog, Takayuki Hibi, Freyja Hreinsdottir, Thomas Kahle, Johannes Rauh.
    • Journal Title

      Advances in Applied Mathematics in press

    • Peer Reviewed
  • [Journal Article] On connectivity of fibers with positive marginals in multiple logistic regression.2010

    • Author(s)
      Hara, A.Takemura, Ruriko Yoshida.
    • Journal Title

      Journal of Multivariate Analysis 101

      Pages: 909-925

    • Peer Reviewed
  • [Journal Article] Markov basis and Grobner basis of Segre-Veronese configuration for testing independence in group-wise selections.2010

    • Author(s)
      Satoshi Aoki, Takayuki Hibi, Hidefumi Ohsugi, A.Takemura
    • Journal Title

      Annals of the Institute of Statistical Mathematics 62

      Pages: 299-321

    • Peer Reviewed
  • [Journal Article] Markov chain Monte Carlo tests for designed experiments.2010

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Journal of Statistical Planning and Inference 140

      Pages: 817-830

    • Peer Reviewed
  • [Journal Article] Symbolic Computation in Biology2009

    • Author(s)
      Hirokazu Anai, Katsuhisa Horimoto (eds)
    • Journal Title

      Math.Comput.Sci. 2

      Pages: 399-556

    • Peer Reviewed
  • [Journal Article] Some characterizations of affinely full-dimensional factorial designs.2009

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Journal of Statistical Planning and Inference 139,No.10

      Pages: 3525-3532

    • Peer Reviewed
  • [Journal Article] Markov basis for design of experiments with three-level factors.2009

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Algebraic and Geometric Methods in Statistics, dedicated to Professor Giovanni Pistone (P.Gibilisco, E.Riccomagno, M.P.Rogantin and H.P.Wynn, eds.)(Cambridge University Press)

      Pages: 225-238

    • Peer Reviewed
  • [Journal Article] Statistics and Groebner bases - the origin and development of computational algebraic statistics.2009

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Selected Papers on Probability and Statistics, American Mathematical Society Translations, Series 2 227

      Pages: 125-145

    • Peer Reviewed
  • [Journal Article] Iterative proportional scaling via decomposable submodels for contingency tables.2009

    • Author(s)
      Yushi Endo, A.Takemura
    • Journal Title

      Computational Statistics and Data Analysis 53

      Pages: 966-978

    • Peer Reviewed
  • [Journal Article] Markov bases for two-way subtable sum problems.2009

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

      Journal of Pure and Applied Algebra 213

      Pages: 1507-1521

    • Peer Reviewed
  • [Journal Article] A Markov basis for conditional test of common diagonal effect in quasi-independence model for square contingency tables.2009

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

      Computational Statistics and Data Analysis 53

      Pages: 1006-1014

    • Peer Reviewed
  • [Journal Article] Computing holes in semi-groups and its applications to transportation problems.2009

    • Author(s)
      Raymond Hemmecke, A.Takemura, Ruriko Yoshida.
    • Journal Title

      Contributions to Discrete Mathematics 4,No.1

      Pages: 81-91

    • Peer Reviewed
  • [Journal Article] The quasi-multinomial distribution as a tool for disclosure risk assessment.2009

    • Author(s)
      Nobuaki Hoshino.
    • Journal Title

      Journal of Official Statistics 25

      Pages: 269-291

    • Peer Reviewed
  • [Journal Article] Volume of tubes and the distribution of the maximum of a Gaussian random field.2009

    • Author(s)
      栗木哲, 竹村彰通
    • Journal Title

      Selected Papers on Probability and Statistics, American Mathematical Society Translations Series 2 227(2)

      Pages: 25-48

    • Peer Reviewed
  • [Journal Article] Two way subtable sum problems and quadratic Groebner bases.2009

    • Author(s)
      Hidefumi Ohsugi, Takayuki Hibi.
    • Journal Title

      Proceedings of the AMS 137,no.5

      Pages: 1539-1542

    • Peer Reviewed
  • [Journal Article] Perturbation method for determining the group of invariance of hierarchical models.2009

    • Author(s)
      Tomonari Sei, Satoshi Aoki, A.Takemura
    • Journal Title

      Advances in Applied Mathematics 43

      Pages: 375-389

    • Peer Reviewed
  • [Journal Article] Rank of 3-tensors with 2 slices and Kronecker canonical forms.2009

    • Author(s)
      Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
    • Journal Title

      Linear Algebra and its Application 431

      Pages: 1858-1868

    • Peer Reviewed
  • [Journal Article] 計算代数統計の最近の話題について2009

    • Author(s)
      竹村彰通
    • Journal Title

      日本統計学会誌 39

      Pages: 1-23

    • Peer Reviewed
  • [Journal Article] Minimal invariant Markov basis for sampling contingency tables with fixed marginals.2008

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Annals of the Institute of Statistical Mathematics 60

      Pages: 229-256

    • Peer Reviewed
  • [Journal Article] The largest group of invariance for Markov bases and toric ideals.2008

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      Journal of Symbolic Computation 43

      Pages: 342-358

    • Peer Reviewed
  • [Journal Article] Indispensable monomials of toric ideals and Markov bases.2008

    • Author(s)
      Satoshi Aoki, A.Takemura, Ruriko Yoshida.
    • Journal Title

      Journal of Symbolic Computation 43

      Pages: 490-507

    • Peer Reviewed
  • [Journal Article] The tube method for the moment index in projection pursuit.2008

    • Author(s)
      栗木哲, 竹村彰通
    • Journal Title

      Journal of Statistical Planning and Inference 138

      Pages: 2749-2762

    • Peer Reviewed
  • [Journal Article] Euler characteristic heuristic for approximating the distribution of the largest eigenvalue of an orthogonally invariant random matrix.2008

    • Author(s)
      栗木哲, 竹村彰通
    • Journal Title

      Journal of Statistical Planning and Inference 138

      Pages: 3357-3378

    • Peer Reviewed
  • [Journal Article] Hierarchical orbital decompositions and extended decomposable distributions.2008

    • Author(s)
      Hidehiko Kamiya, A.Takemura
    • Journal Title

      Journal of Multivariate Analysis 99

      Pages: 339-357

    • Peer Reviewed
  • [Journal Article] Star-shaped distributions and their generalizations.2008

    • Author(s)
      Hidehiko Kamiya, Akimichi Takemura, Satoshi Kuriki
    • Journal Title

      Journal of Statistical Planning and Inference 138

      Pages: 3429-3447

    • Peer Reviewed
  • [Journal Article] Periodicity of hyperplane arrangements with integral coefficients modulo positive integers.2008

    • Author(s)
      Hidehiko Kamiya, A.Takemura, Hiroaki Terao.
    • Journal Title

      Journal of Algebraic Combinatorics 27

      Pages: 317-330

    • Peer Reviewed
  • [Journal Article] A generalization of the integer linear infeasibility problem.2008

    • Author(s)
      A.Takemura, Ruriko Yoshida.
    • Journal Title

      Discrete Optimization 5, No.1

      Pages: 36-52.doi:10.1016/j.disopt.2007.10.004

    • Peer Reviewed
  • [Journal Article] チューブの 体積と正規確率場の最大値の分布2008

    • Author(s)
      栗木哲, 竹村彰通
    • Journal Title

      数学 60, No.2

      Pages: 134-155

    • Peer Reviewed
  • [Journal Article] Gene systems network inferred from expression profiles in hepatocellular carcinogenesis by graphical Gaussian model.2007

    • Author(s)
      Sachiyo Aburatani, Fung Sun, Shigeru Saito, Masao Honda, Shuichi Kaneko, Katsuhisa Horimoto.
    • Journal Title

      EURASIP J.ioinfo. Systems Biol. 2007

      Pages: 47214

    • Peer Reviewed
  • [Journal Article] Algebraic Biology.2007

    • Author(s)
      Hirokazu Anai, Katsuhisa Horimoto, Temure Kutsia. (eds)
    • Journal Title

      Lecture Notes in Computer Science Springer, Heidelberg

      Pages: 4545

    • Peer Reviewed
  • [Journal Article] Improving on the maximum likelihood estimators of the means in Poisson decomposable graphical models.2007

    • Author(s)
      Hisayuki Hara, A.Takemura
    • Journal Title

      Journal of Multivariate Analysis 98

      Pages: 410-434

    • Peer Reviewed
  • [Journal Article] Conditions for swappability of records in a microdata set when somemarginals are fixed.2007

    • Author(s)
      A.Takemura, Hisayuki Hara.
    • Journal Title

      Computational Statistics 22

      Pages: 73-185

    • Peer Reviewed
  • [Journal Article] 統計学とグレブナー基底 - 計算代数統計の発端と展開 -2007

    • Author(s)
      青木敏, 竹村彰通
    • Journal Title

      数学 59,No.3

      Pages: 283-302

    • Peer Reviewed
  • [Journal Article] 順序付き高位ボロノイ図の領域2007

    • Author(s)
      紙屋英彦
    • Journal Title

      日本統計学会誌 37

      Pages: 85-99

    • Peer Reviewed
  • [Journal Article] A Graphical Chain Model for Inferring Regulatory System Networks from Gene Expression Profiles.2006

    • Author(s)
      Sachiyo Aburatani, Shigeru Saito, Hiroyuki Toh, Katsuhisa Horimoto.
    • Journal Title

      Statistical Methodology 3

      Pages: 17-28

    • Peer Reviewed
  • [Journal Article] Testing marginal homogeneity against stochastically ordered marginals forrxr contingency tables.2006

    • Author(s)
      Wei Gao, Satoshi Kuriki
    • Journal Title

      Journal of Multivariate Analysis 97(6)

      Pages: 1330-1341

    • Peer Reviewed
  • [Journal Article] Simultaneous estimation of the means in some Poisson log linear models.Journal of the Japan Statistical Society2006

    • Author(s)
      Hisayuki Hara, A.Takemura
    • Journal Title

      Journal of the Japan Statistical Society 36

      Pages: 17-36

    • Peer Reviewed
  • [Journal Article] discrete multivariate distribution resulting from the law of small numbers.2006

    • Author(s)
      Nobuaki Hoshino.
    • Journal Title

      Journal of Applied Probability 43

      Pages: 852-866

    • Peer Reviewed
  • [Journal Article] Arrangements and ranking patterns.2006

    • Author(s)
      Hidehiko Kamiya, Peter Orlik, A.Takemura, Hiroaki Terao.
    • Journal Title

      Annals of Combinatorics 10

      Pages: 219-235

    • Peer Reviewed
  • [Journal Article] Algebraic Rank Analysis of Tensor Data through Groebner Basis2006

    • Author(s)
      Toshio Sakata, Ryuei Nishii.
    • Journal Title

      The Proceedings in COMPSTAT2006

      Pages: 751-758

    • Peer Reviewed
  • [Journal Article] ペナルティー関数を利用した母集団寸法指標のノンパラメトリック推定2006

    • Author(s)
      佐井至道
    • Journal Title

      岡山商大論叢 42

      Pages: 1-21

    • Peer Reviewed
  • [Presentation]2010

    • Organizer
      Review of works of Tokyo group on game-theoretic probability and some thoughts on basing probability theory on perfect information games.
    • Place of Presentation
      University of London (London, England).
    • Year and Date
      2010-06-21
  • [Presentation] Hierarchical subspace models for contingency tables.2010

    • Organizer
      Spring Southeastern Sectional Meeting of American Mathematical Society.
    • Place of Presentation
      University of Kentucky (Kentucky, America).
    • Year and Date
      2010-03-28
  • [Presentation] 計算代数統計の成果と展望2009

    • Organizer
      研究集会「計算代数統計学の展開」
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2009-11-26
  • [Presentation] 管状近傍定理と Ehrhart 多項式の周辺2009

    • Organizer
      北海道大学数学連携研究センターシンポジウム「応用特異点論の現状と展望」
    • Place of Presentation
      北海道大学
    • Year and Date
      2009-03-16
  • [Presentation] Properties of Ehrhart quasi-polynomaials for hyperplane arrangements with integral coecients.2009

    • Organizer
      Workshop Random Fields and Stochastic Geometry.
    • Place of Presentation
      Banff International Research Station.
    • Year and Date
      2009-02-25
  • [Presentation] 分割表のグラフィカルモデルとその周辺2008

    • Organizer
      応用統計学会特別講演
    • Place of Presentation
      筑波大学大学会館
    • Year and Date
      2008-06-07
  • [Book] 統計第2版2007

    • Author(s)
      竹村彰通
    • Total Pages
      183
    • Publisher
      共立出版
  • [Remarks] ホームページ等

    • URL

      http://park.itc.u-tokyo.ac.jp/atstat/athp/projects_links.html

URL: 

Published: 2012-01-26   Modified: 2016-01-21  

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