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On the structure of the posterior probability distribution in high-dimensional data

Research Project

Project/Area Number 22500206
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionUniversity of Miyazaki

Principal Investigator

DATE Akira  宮崎大学, 工学部, 准教授 (60322707)

Co-Investigator(Renkei-kenkyūsha) KURATA Koji  琉球大学, 工学部, 教授 (40170071)
Project Period (FY) 2010-04-01 – 2014-03-31
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords確率的情報処理 / 確率モデル / ベイズ推論 / 確率推論 / 事後確率 / 隠れマルコフモデル / マルコフ確率場 / 事後確率分布 / パターン認識 / グラフィカルモデル / 数理モデル / パターン情報処理
Research Abstract

Probabilistic generative models work in many applications of image analysis and speech recognition. In general, there is an observation vector y and a state vector x, and a joint dependency structure among them. The object of interest is, given y, the most meaningful configuration x and the posterior distribution Pr(x|y). In practice, the structure of the posterior distribution Pr(x|y) is hard to know, and it might have a peculiar structure, especially when x is high dimensional vector. In this project, we developed a method which finds a meaningful estimator by generating a large number of samples from posterior distribution. We performed computer experiments of simple hidden Markov models in which the various functions of the posterior probability distribution is obtainable. Based on the experiments, the effectiveness of the method was discussed.

Report

(5 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Annual Research Report
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (18 results)

All 2014 2013 2012 2011 2010 Other

All Journal Article (6 results) (of which Peer Reviewed: 1 results) Presentation (10 results) (of which Invited: 1 results) Remarks (2 results)

  • [Journal Article] 自己組織神経回路モデルによる情報表現の獲得2013

    • Author(s)
      伊達章
    • Journal Title

      Telecom Frontier

      Volume: no.81

    • URL

      http://www.scat.or.jp/frontier/frontier81/date.pdf

    • Related Report
      2013 Annual Research Report 2013 Final Research Report
  • [Journal Article] ボルツマンマシンを応用したトポグラフィックマッピングの形成モデルについて2013

    • Author(s)
      伊達章, 倉田耕治
    • Journal Title

      電子情報通信学会技術研究報告

      Volume: vol.112, no.480

    • URL

      http://ci.nii.ac.jp/naid/110009713279

    • Related Report
      2013 Final Research Report
  • [Journal Article] ボルツマンマシンを応用したトポグラフィックマッピングの形成モデルについて2013

    • Author(s)
      伊達 章
    • Journal Title

      信学技報

      Volume: 112 Pages: 203-208

    • Related Report
      2012 Annual Research Report
  • [Journal Article] 数学の理解とその説明の仕方について2013

    • Author(s)
      伊達 章
    • Journal Title

      明治大学公開数理教育シンポジウム予稿集

      Volume: 1 Pages: 39-40

    • Related Report
      2012 Annual Research Report
  • [Journal Article] Phase-Locking in Localized Oscillatory Excitation on Neural Oscillatory Fields2011

    • Author(s)
      宮田龍太
    • Journal Title

      Journal of Japan Society for Fuzzy Theory and Intelligent Informatics

      Volume: 23 Issue: 2 Pages: 243-253

    • DOI

      10.3156/jsoft.23.243

    • NAID

      10028090520

    • ISSN
      1347-7986, 1881-7203
    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] メトロノームの同期現象+, 偏微分方程式と現象2010

    • Author(s)
      伊達章
    • Journal Title

      PDEs and Phenom- ena in Miyazaki 2010

    • URL

      http://www.cc.miyazaki-u.ac.jp/math/ppm/ppm2010/

    • Related Report
      2013 Final Research Report
  • [Presentation] 自己組織ダイナミクスのシミュレーション2014

    • Author(s)
      伊達章
    • Organizer
      第5回符号と力学系ワークショップ
    • Place of Presentation
      福岡県二日市
    • Year and Date
      2014-03-21
    • Related Report
      2013 Final Research Report
  • [Presentation] 自己組織ダイナミックスのシミュレーション: 素直なHebb学習だけで何ができるか2014

    • Author(s)
      伊達 章
    • Organizer
      第5回 符号と力学系ワークショップ
    • Place of Presentation
      福岡県二日市市
    • Related Report
      2013 Annual Research Report
  • [Presentation] ボルツマンマシンを応用したトポグラフィックマッピングの形成モデルについて2013

    • Author(s)
      伊達章
    • 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
      玉川大学工学部(東京都町田市)
    • Year and Date
      2013-03-15
    • Related Report
      2013 Final Research Report
  • [Presentation] ボルツマンマシンを応用したトポグラフィックマッピングの形成モデルについて2013

    • Author(s)
      伊達 章
    • 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
      玉川大学工学部
    • Related Report
      2012 Annual Research Report
  • [Presentation] 数学の理解とその説明の仕方について2013

    • Author(s)
      伊達 章
    • Organizer
      明治大学公開数理教育シンポジウム
    • Place of Presentation
      明治大学理工学部
    • Related Report
      2012 Annual Research Report
    • Invited
  • [Presentation] Coarse-to-Fine型の大学数学教育-その実現に向けて2012

    • Author(s)
      伊達章
    • Organizer
      明治大学理工学部数学科主催数理教育シンポジウム
    • Place of Presentation
      明治大学理工学部(招待講演)
    • Year and Date
      2012-03-18
    • Related Report
      2011 Annual Research Report
  • [Presentation] A mathematical model of associa- tive memory with a sense of feeling of knowing2011

    • Author(s)
      Akira Date
    • Organizer
      Japan-Germany Joint Workshop on Computational Neuroscience
    • Place of Presentation
      沖縄科学技術大学院大学(沖縄県国頭郡)
    • Year and Date
      2011-03-03
    • Related Report
      2013 Final Research Report
  • [Presentation] A mathematical model of associative memory with a sense of feeling of knowing2011

    • Author(s)
      伊達章
    • Organizer
      Japan-Germany Joint Workshop on Computational Neuroscience
    • Place of Presentation
      Okinawa Institute of Science and Technology, Seaside House
    • Year and Date
      2011-03-03
    • Related Report
      2010 Annual Research Report
  • [Presentation] 理解は一種の奇跡2011

    • Author(s)
      伊達章
    • Organizer
      明治大学理工学部数学科主催数理教育シンポジウム
    • Place of Presentation
      明治大学紫紺館
    • Year and Date
      2011-02-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] メトロノームの同期現象+2010

    • Author(s)
      伊達章
    • Organizer
      偏微分方程式と現象:PDEs and Phenomena in Miyazaki 2010
    • Place of Presentation
      宮崎大学工学部
    • Year and Date
      2010-11-21
    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.cs.miyazaki-u.ac.jp/~date/index-j.html

    • Related Report
      2011 Annual Research Report
  • [Remarks]

    • URL

      http://www.cs.miyazaki-u.ac.jp/~date/index-j.html

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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