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2011 Fiscal Year Final Research Report

Probabilistic data mining theory using item response theory based on Markov random field

Research Project

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Project/Area Number 21700247
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionTohoku University

Principal Investigator

YASUDA Muneki  東北大学, 大学院・情報科学研究科, 助教 (20532774)

Project Period (FY) 2009 – 2011
Keywords確率的情報処理 / 統計的機械学習理論 / 情報統計力学 / 項目応答理論 / データマイニング / 統計的近似計算理論 / アルゴリズム
Research Abstract

An item response theory (IRT)is a recent statistical test theory which has been mainly developed in social science and psychology. In conventional models of IRT, each item has been statistically independent of each other. In this research program, I have proposed a new probabilistic model of an IRT including correlations among items, and have proposed approximate techniques and machine learning algorithms for the proposed model. Since the model is mathematically equivalent to Boltzmann machines which are well known in the area of neural networks and the area of machine learning, the proposed methods can be applied to not only the IRT but also applications in those areas.

  • Research Products

    (11 results)

All 2012 2011 2010 2009 Other

All Journal Article (5 results) (of which Peer Reviewed: 5 results) Presentation (3 results) Book (2 results) Remarks (1 results)

  • [Journal Article] Replica Plefka Expansion of Ising systems2012

    • Author(s)
      Muneki Yasuda, Yoshiyuki Kabashima and Kazuyuki Tanaka
    • Journal Title

      Journal of Statistical Mechanics : Theory and Experiment

      Pages: 04002

    • Peer Reviewed
  • [Journal Article] Inverse Problem in Pairwise Markov Random Fields using Loopy Belief Propagation2012

    • Author(s)
      Muneki Yasuda, Shun Kataoka and Kazuyuki Tanaka
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol.81, No.4 Pages: 044801

    • Peer Reviewed
  • [Journal Article] TAP Equation for Nonnegative Boltzmann Machine2012

    • Author(s)
      Muneki Yasuda and Kazuyuki Tanaka
    • Journal Title

      Philosophical Magazine

      Volume: Vol.92, Nos. 1-3 Pages: 192-209

    • Peer Reviewed
  • [Journal Article] Deterministic Approximate Learning Algorithm for Boltzmann Machines using Correlation Equality2010

    • Author(s)
      Muneki Yasuda and Kazuyuki Tanaka
    • Journal Title

      IEICE Transactions (D)

      Volume: Vol.J93-D, No.11 Pages: 2446-2453

    • Peer Reviewed
  • [Journal Article] Approximate Learning Algorithm in Boltzmann Machines2009

    • Author(s)
      Muneki Yasuda and Kazuyuki Tanaka
    • Journal Title

      Neural Computation

      Volume: Vol.21, No.11 Pages: 3130-3178

    • Peer Reviewed
  • [Presentation] 項目間の相関を考慮した項目応答理論2012

    • Author(s)
      安田宗樹, 田中和之
    • Organizer
      電子情報通信学会技術研究報告
    • Place of Presentation
      玉川大学
    • Year and Date
      2012-03-16
  • [Presentation] Replicated Plefka Expansion and its Application to Inverse Ising Problems2011

    • Author(s)
      Muneki Yasuda
    • Organizer
      Interdisciplinary Applications of Statistical Physics & Complex Networks
    • Place of Presentation
      KITPC, Beijing, China
    • Year and Date
      2011-03-04
  • [Presentation] 改良された感受率伝搬法, 電子情報通信学会技術研究報告2010

    • Author(s)
      安田宗樹, 田中和之
    • Organizer
      第13回情報論的学習理論ワークショップ(IBIS 2010)
    • Place of Presentation
      東京大学
    • Year and Date
      2010-11-04
  • [Book] コンピュータビジョン最先端ガイド32010

    • Author(s)
      安田宗樹, 片岡駿, 田中和之
    • Total Pages
      137-179
    • Publisher
      アドコム・メディア株式会社
  • [Book] 映像情報メディア工学大事典2010

    • Author(s)
      田中和之, 安田宗樹
    • Total Pages
      233-235
    • Publisher
      オーム社
  • [Remarks] 研究業績等はすべて上記のホームペジで公開している。

    • URL

      http://www.smapip.is.tohoku.ac.jp/~muneki/

URL: 

Published: 2013-07-31  

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