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2012 Fiscal Year Final Research Report

Creative extensions of data mining theory by means of quantum-mechanical labeling

Research Project

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Project/Area Number 22300078
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionTohoku University

Principal Investigator

TANAKA Kazuyuki  東北大学, 大学院・情報科学研究科, 教授 (80217017)

Co-Investigator(Kenkyū-buntansha) INOUE Jun-ichi  北海道大学, 大学院・情報科学研究科, 准教授 (30311658)
Co-Investigator(Renkei-kenkyūsha) TSUDA Koji  産業技術総合研究所, 生命情報工学研究センター, 主任研究員 (90357517)
Project Period (FY) 2010 – 2012
Keywords数理工学 / 機械学習 / 統計数学 / 情報統計力学 / 確率的情報処理
Research Abstract

General frameworks of statistical machine learning systems based on quantum-mechanical extended Markov random fields has been provided by using belief propagation methods. Some novel statistical model selection schemes by using quantum belief propagation methods have been proposed. As one of unexpected research results in our present project proposal, we have established new statistical learning frameworks for some statistical models with the first-order phase transitions in the stand point of constrained maximization ofentropies instead of conventional maximum likelihood estimations.

  • Research Products

    (30 results)

All 2013 2012 2011 2010

All Journal Article (14 results) (of which Peer Reviewed: 14 results) Presentation (13 results) Book (3 results)

  • [Journal Article] Susceptibility Propagation by Using Diagonal Consistency2013

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

      Physical Review E

      Volume: Vol.87, No.1, Article No.012134 Pages: 1-6

    • DOI

      DOI:10.1103/PhysRevE.87.012134.

    • Peer Reviewed
  • [Journal Article] Learning Algorithm for Boltzmann Machines Using Max-Product Algorithm and Pseudo-Likelihood2012

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

      Interdisciplinary Information Sciences

      Volume: Vol.18, No.1 Pages: 55-63

    • DOI

      DOI:10.4036/iis.2012.55.

    • Peer Reviewed
  • [Journal Article] Bayesian ImageModeling by Means of GeneralizedSparse Prior and Loopy Belief Propagation2012

    • Author(s)
      Kazuyuki Tanaka, Muneki Yasuda and D.Michael Titterington
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: Vol.81, No.11, Article No.114802 Pages: 1-9

    • DOI

      DOI:10.1143/JPSJ.81.114802.

    • Peer Reviewed
  • [Journal Article] Effect of Quantum Fluctuation in Error-Correcting Codes2012

    • Author(s)
      Yosuke Otsubo, Jun-ichi Inoue, Kenji Nagata and Masato Okada
    • Journal Title

      Physical Review E

      Volume: Vol.86, Article No.051138 Pages: 1-10

    • DOI

      DOI:10.1103/PhysRevE.86.051138.

    • Peer Reviewed
  • [Journal Article] Replica Plefka Expansion of Ising Systems, Journal of Statistical Mechanics2012

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

      Theory and Experiment

      Volume: Vol.2012, No.4, P04002 Pages: 1-16

    • DOI

      DOI:10.1088/1742-5468/2012/04/P04002.

    • 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, Article No.044801 Pages: 1-8

    • DOI

      DOI:10.1143/JPSJ.81.044801.

    • Peer Reviewed
  • [Journal Article] Statistical Analysis of Gaussian Image Inpainting Problems2012

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

      Journal of the Physical Society of Japan

      Volume: Vol.81, No.2, Article No.025001 Pages: 1-2

    • DOI

      DOI:10.1143/JPSJ.81.025001.

    • Peer Reviewed
  • [Journal Article] TAP Equation for Nonnegative Boltzmann Machine: Philosophical Magazine2012

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

      The Study of Condensed Matter

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

    • DOI

      DOI:10.1080/14786435.2011.634856.

    • Peer Reviewed
  • [Journal Article] Statistical Analysis of the Expectation-Maximization Algorithm with Loopy Belief Propagation in Bayesian Image Modeling2012

    • Author(s)
      Shun Kataoka, Muneki Yasuda, Kazuyuki Tanaka and D. Michael Titterington
    • Journal Title

      Philosophical Magazine: The Study of Condensed Matter

      Volume: Vol.92,Nos.1-3 Pages: 50-63

    • DOI

      DOI:10.1080/14786435.2011.624558.

    • Peer Reviewed
  • [Journal Article] Pattern-recalling processes in quantum Hopfield networks far from saturation2011

    • Author(s)
      Jun-ichi Inoue
    • Journal Title

      Journal of Physics:Conference Series

      Volume: Vol.297, Article No.012012 Pages: 1-10

    • DOI

      DOI:10.1088/1742-6596/297/1/012012.

    • Peer Reviewed
  • [Journal Article] Learning Algorithm in Restricted Boltzmann Machines using Kullback-Leibler Importance Estimation Procedure (Invited Paper)2011

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

      Nonlinear Theory and Its Applications,IEICE

      Volume: Vol.2, No.2 Pages: 153-164

    • DOI

      DOI:10.1587/nolta.2.153.

    • Peer Reviewed
  • [Journal Article] 相関等式を用いたボルツマンマシンの決定論的近似学習アルゴリズム2010

    • Author(s)
      安田宗樹,田中和之
    • Journal Title

      電子情報通信学会論文誌(D)

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

    • Peer Reviewed
  • [Journal Article] Statistical performance analysis by loopy belief propagation in Bayesian image modeling2010

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

      Journal of Physics: Conference Series

      Volume: Vol.233, Article No.012013 Pages: 1-11

    • DOI

      DOI:10.1088/1742-6596/233/1/012013.

    • Peer Reviewed
  • [Journal Article] Deterministic flows of Order Parameters in Stochastic Processes of Quantum Monte Carlo Method2010

    • Author(s)
      Jun-ichi Inoue
    • Journal Title

      Journal of Physics: Conference Series

      Volume: Vol.233, Article No.012010 Pages: 1-14

    • DOI

      DOI:10.1088/1742-6596/233/1/012010.

    • Peer Reviewed
  • [Presentation] ガウシアングラフィカルモデルを用いた確率的画像補修フィルタの設計2012

    • Author(s)
      北川智隆,安田宗樹,田中和之
    • Organizer
      電子情報通信学会ニューロコンピューティング研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2012-11-17
  • [Presentation] 2部グラフ型ボルツマンマシンに対する複合最尤法2012

    • Author(s)
      浅利岳,安田宗樹,和泉勇治,田中和之
    • Organizer
      電子情報通信学会ニューロコンピューティング研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2012-11-17
  • [Presentation] Composite Likelihood Estimation for Restricted Boltzmann Machines2012

    • Author(s)
      Muneki Yasuda, Shun Kataoka, Yuji Waizumi and Kazuyuki Tanaka
    • Organizer
      21st International Conference on Pattern Recognition
    • Place of Presentation
      Tsukuba, Japan
    • Year and Date
      2012-11-14
  • [Presentation] スパース相互作用をもつ事前分布と確率伝搬法によるベイジアンモデリング2012

    • Author(s)
      田中和之,安田宗樹
    • Organizer
      日本物理学会2012年秋季大会
    • Place of Presentation
      横浜国立大学
    • Year and Date
      2012-09-18
  • [Presentation] Bayesian imagemodeling by generalized sparse Markov random fields and loopy belief propagation2012

    • Author(s)
      Kazuyuki Tanaka
    • Organizer
      Interdisciplinary Workshop on Inference ---Information processing in complex systems with applications to traffic forecasting---
    • Place of Presentation
      Inria Paris-Rocquencourt (Paris sub-office), Paris, France.
    • Year and Date
      2012-06-12
  • [Presentation] 圧縮センシングを用いた画像補修モデリング2012

    • Author(s)
      片岡駿,安田宗樹,樺島祥介,田中和之
    • Organizer
      日本物理学会第67回年次大会
    • Place of Presentation
      関西学院大学西宮上ケ原キャンパス
    • Year and Date
      2012-03-27
  • [Presentation] カラーチャンネル間の相関を考慮したGaussian FoEモデル2011

    • Author(s)
      村山竜太,安田宗樹,和泉勇治,田中和之
    • Organizer
      電子情報通信学会情報論的学習理論と機械学習研究会
    • Place of Presentation
      奈良女子大学
    • Year and Date
      2011-11-09
  • [Presentation] Automatic Ridge Network Detection in Crumpled Paper Based on Graph Density2011

    • Author(s)
      Marvin Huang, Chiou-Ting Hsu and Kazuyuki Tanaka
    • Organizer
      2011 IEEE 13th International Workshop on Multimedia Signal Processing, Digital Object Identifier
    • Place of Presentation
      Hangzhou, China
    • Year and Date
      2011-10-19
  • [Presentation] ランダム欠損を利用した画像圧縮法2011

    • Author(s)
      片岡駿,安田宗樹,田中和之
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-22
  • [Presentation] オンサガー項を考慮した感受率伝搬法の改良とその一般化2011

    • Author(s)
      安田宗樹,田中和之
    • Organizer
      日本物理学会2011年秋季大会
    • Place of Presentation
      富山大学
    • Year and Date
      2011-09-21
  • [Presentation] スパース正則化項をともなうマルコフ確率場における確率伝搬法2010

    • Author(s)
      田中和之
    • Organizer
      電子情報通信学会ニューロコンピューティング研究会
    • Place of Presentation
      東北大学
    • Year and Date
      2010-11-18
  • [Presentation] 1RSBを考慮したTAP方程式を用いた感受率伝搬法2010

    • Author(s)
      安田宗樹,樺島祥介,田中和之
    • Organizer
      日本物理学会2010年秋季大会
    • Place of Presentation
      大阪府立大学中百舌鳥キャンパス
    • Year and Date
      2010-09-25
  • [Presentation] Plefka Expansion of Replica Extended Ising Model and Its Application to Inverse Ising Problem2010

    • Author(s)
      Muneki Yasuda, Yoshiyuki Kabashima and Kazuyuki Tanaka
    • Organizer
      24 IUPAP International Conference onStatistical Physics
    • Place of Presentation
      Cairns, Australia
    • Year and Date
      2010-07-22
  • [Book] ---CVIMチュートリアルシリーズ---コンピュータビジョン最先端ガイド3(八木康史,斎藤英雄編),第6章.大規模確率場と確率的画像処理の深化と展開2010

    • Author(s)
      安田宗樹,片岡駿,田中和之共著(分担執筆)
    • Total Pages
      137-179
    • Publisher
      アドコム・メディア株式会社
  • [Book] International Workshop on Statistical-Mechinical Informatics2010, Journal of Physics, Conference Series, Vol.233, Article2010

    • Author(s)
      Jun-ichi Inoue, Yoshiyuki Kabashima, Kazuyuki Tanaka and Toshiyuki Tanaka (eds)
    • Total Pages
      Nos.011001-011002, Article Nos.012001-012023
    • Publisher
      IOP Publishing
  • [Book] 映像情報メディア工学大事典(映像情報メディア学会編)/基礎編,第4部門.画像処理,第12章.確率的画像処理2010

    • Author(s)
      田中和之,安田宗樹共著(分担執筆)
    • Total Pages
      233-235
    • Publisher
      オーム社

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Published: 2014-08-29  

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