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Computational Algebraic Methods for Statistical Causal Inference

Research Project

Project/Area Number 24700274
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionSeikei University (2014-2015)
Tokyo Institute of Technology (2012-2013)

Principal Investigator

Tanaka Kentaro  成蹊大学, 経済学部, 准教授 (00376948)

Project Period (FY) 2012-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords統計的因果推論 / 計算代数統計 / 条件付独立性 / 計算機代数統計 / 条件付き独立性 / 独立性 / アルゴリズム / 統計的推測 / 計算代数 / 統計数学
Outline of Final Research Achievements

Conditional independence is a fundamental concept in statistics and applied in a variety of fields. In order to analyze the properties of conditional independence, we deal with the implication problem of conditional independence statements, that is, testing whether a conditional independence statement is derived from a set of other conditional independence statements. In this research, we propose a new algebraic method for the implication problem among conditional independence statements, which is inspired by the factorization characterization of conditional independence.

Report

(5 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (14 results)

All 2016 2015 2014 2013 2012 Other

All Int'l Joint Research (1 results) Journal Article (3 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (9 results) (of which Int'l Joint Research: 1 results,  Invited: 1 results) Remarks (1 results)

  • [Int'l Joint Research] UTIA(チェコ)

    • Related Report
      2015 Annual Research Report
  • [Journal Article] カンファレンス行列と実験計画法2016

    • Author(s)
      田中研太郎
    • Journal Title

      品質

      Volume: 46 Pages: 51-54

    • NAID

      110010041679

    • Related Report
      2015 Annual Research Report
  • [Journal Article] A linear-algebraic tool for conditional independence inference2015

    • Author(s)
      Kentaro Tanaka, Milan Studeny, A.Takemura and Tomonari Sei
    • Journal Title

      Journal of Algebraic Statistics

      Volume: 6 Issue: 2 Pages: 150-167

    • DOI

      10.18409/jas.v6i2.46

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Cones of Elementary Imsets and Supermodular Functions: A Review and Some New Results2012

    • Author(s)
      Takuya Kashimura, Tomonari Sei, Akimichi Takemura and Kentaro Tanaka
    • Journal Title

      Proceedings of the Second CREST-SBM International Conference "Harmony of Groebner Bases and the Modern Industrial Society"

      Volume: 0 Pages: 117-152

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] 実験計画法とGroup Lasso2015

    • Author(s)
      田中研太郎
    • Organizer
      第27回 RAMP シンポジウム
    • Place of Presentation
      静岡大学 浜松キャンパス
    • Year and Date
      2015-10-15
    • Related Report
      2015 Annual Research Report
    • Invited
  • [Presentation] Linear algebraic methods and Groebner bases for experimental design and group lasso2015

    • Author(s)
      Kentaro Tanaka
    • Organizer
      Current Trends on Groebner Bases
    • Place of Presentation
      ホテル日航大阪
    • Year and Date
      2015-07-06
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Linear programming methods for conditional independence in- ference2014

    • Author(s)
      Kentaro Tanaka, Milan Studeny, Akimichi Takemura, Tomonari Sei
    • Organizer
      Joint workshop on limit theorems and algebraic statistics
    • Place of Presentation
      プラハ(チェコ)
    • Year and Date
      2014-08-25 – 2014-08-29
    • Related Report
      2014 Research-status Report
  • [Presentation] Rules of Conditional Independence and Linear Algebra2014

    • Author(s)
      Kentaro Tanaka
    • Organizer
      Workshop on Applications of Algebraic Geometry and Algebraic Analysis
    • Place of Presentation
      神戸大学
    • Year and Date
      2014-07-20 – 2014-07-21
    • Related Report
      2014 Research-status Report
  • [Presentation] Linear Programming Methods for Conditional Independence Inference2014

    • Author(s)
      Kentaro TANAKA, Milan STUDENY, Akimichi TAKEMURA, Tomonari SEI
    • Organizer
      Joint Workshop on LIMIT THEOREMS and ALGEBRAIC STATISTICS
    • Place of Presentation
      プラハ(チェコ)
    • Related Report
      2013 Research-status Report
  • [Presentation] Machine Learning Methods for Conditional Independence Inference2013

    • Author(s)
      Kentaro TANAKA, Milan STUDENY, Akimichi TAKEMURA, Tomonari SEI
    • Organizer
      Tokyo satellite meeting of WSC2013
    • Place of Presentation
      東京
    • Related Report
      2013 Research-status Report
  • [Presentation] Algebraic methods for conditional independence inference2013

    • Author(s)
      Kentaro TANAKA, Milan STUDENY, Akimichi TAKEMURA, Tomonari SEI
    • Organizer
      日本数学会2013年度秋季総合分科会
    • Place of Presentation
      愛媛
    • Related Report
      2013 Research-status Report
  • [Presentation] A new method for Conditional Independence Inference2012

    • Author(s)
      Kentaro Tanaka
    • Organizer
      The 9th Workshops on Uncertainty Processing
    • Place of Presentation
      Czech Republic
    • Related Report
      2012 Research-status Report
  • [Presentation] Optimization problems for intervention effects in structural equation models2012

    • Author(s)
      Kentaro Tanaka
    • Organizer
      The 2nd Institute of Mathematical Statistics Asia Pacic Rim Meeting
    • Place of Presentation
      Tsukuba, Japan
    • Related Report
      2012 Research-status Report
  • [Remarks] tanaken-basis

    • URL

      https://github.com/tanaken-basis/

    • Related Report
      2015 Annual Research Report

URL: 

Published: 2013-05-31   Modified: 2022-02-01  

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