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Development of the learning algorithm based on feature space geometry

Research Project

Project/Area Number 25330276
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Intelligent informatics
Research InstitutionNational Institute of Advanced Industrial Science and Technology

Principal Investigator

Akaho Shotaro  国立研究開発法人産業技術総合研究所, 人間情報研究部門, 研究グループ長 (40356340)

Co-Investigator(Kenkyū-buntansha) 藤木 淳  福岡大学, 理学部, 准教授 (10357907)
Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords情報幾何 / カーネル法 / 機械学習 / アルゴリズム / 幾何学 / 関数解析学 / パタン認識
Outline of Final Research Achievements

In order for machine learning to work effectively, it is very important to accurately capture the distance between input signals. In this research project, we tried to improve machine learning algorithm by introducing natural structure into space based on the framework of information geometry and reproducing kernel Hilbert space theory. As applications, the effectiveness was confirmed by applying to the problem of transfer learning which improves learning accuracy by synthesizing the results of similar learning problems when the number of data is small, and the problem of estimating the dimension of low dimensional structure embedded in high dimension space.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (13 results)

All 2016 2015 2014 2013

All Journal Article (5 results) (of which Peer Reviewed: 4 results,  Open Access: 2 results,  Acknowledgement Compliant: 2 results) Presentation (8 results) (of which Invited: 2 results)

  • [Journal Article] Time-Varying Transition Probability Matrix Estimation and Its Application to Brand Share Analysis2016

    • Author(s)
      Tomoaki Chiba, Hideitsu Hino , Shotaro Akaho, Noboru Murata
    • Journal Title

      PLOS ONE

      Volume: 12 Issue: 1 Pages: 13-13

    • DOI

      10.1371/journal.pone.0169981

    • NAID

      120007135110

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A kernel method to extract common features based on mutual information2014

    • Author(s)
      T. Araki, H. Hino, S. Akaho
    • Journal Title

      Lecture Notes in Computer Science (Neural Information Processing)

      Volume: 8835 Pages: 26-34

    • DOI

      10.1007/978-3-319-12640-1_4

    • ISBN
      9783319126395, 9783319126401
    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Flexible Hypersurface Fitting with RBF Kernels2013

    • Author(s)
      Jun Fujiki, Shotaro Akaho
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 8047 Pages: 286-293

    • DOI

      10.1007/978-3-642-40261-6_34

    • ISBN
      9783642402609, 9783642402616
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Pairwise Similarity for Line Extraction from Distorted Images2013

    • Author(s)
      Hideitsu Hino, Jun Fujiki, Shotaro Akaho, Yoshihiko Mochizuki, Noboru Murata
    • Journal Title

      Lecture Notes in Computer Science

      Volume: 8048 Pages: 250-257

    • DOI

      10.1007/978-3-642-40246-3_31

    • ISBN
      9783642402456, 9783642402463
    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] データ対の直線性に基づく画像上の類似度の定義 ~ 歪曲画像からの直線検出への応用 ~2013

    • Author(s)
      日野英逸,藤木淳,赤穂昭太郎,望月義彦,村田昇
    • Journal Title

      信学技法

      Volume: PRMU2013-24 Pages: 29-34

    • Related Report
      2013 Research-status Report
  • [Presentation] A Projection Algorithm Based on the Pythagorian Theorem and its Applications2016

    • Author(s)
      Shotaro Akaho, Hideitsu Hino, Neneka Nara, Ken Takano, Noboru Murata
    • Organizer
      Information Geometry and its Applications IV (IGAIA IV)
    • Place of Presentation
      Liblice(チェコ)
    • Related Report
      2016 Annual Research Report
  • [Presentation] 重回帰を用いた高次局所潜在的次元推定2016

    • Author(s)
      日野英逸、赤穂昭太郎、藤木淳、村田昇
    • Organizer
      電子情報通信学会IBISML研究会
    • Place of Presentation
      富山
    • Related Report
      2016 Annual Research Report
  • [Presentation] 非負値行列分解の情報幾何2015

    • Author(s)
      奈良寧々花,高野 健,日野英逸,赤穗 昭太郎,村田昇
    • Organizer
      情報論的学習理論ワークショップ
    • Place of Presentation
      つくば国際会議場(茨城県つくば市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] ノンパラメトリックモデルのe混合推定とその応用2015

    • Author(s)
      高野 健,日野英逸,赤穗 昭太郎,村田昇
    • Organizer
      情報論的学習理論ワークショップ
    • Place of Presentation
      つくば国際会議場(茨城県つくば市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] 能力テスト得点の非負行列分解2015

    • Author(s)
      兼村 厚範,大成 弘子,鹿内 学,橋本 将崇,赤穗 昭太郎
    • Organizer
      情報論的学習理論ワークショップ
    • Place of Presentation
      つくば国際会議場(茨城県つくば市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] ガウス核を用いた柔軟な超曲面あてはめに向けて2015

    • Author(s)
      藤木 淳,赤穗 昭太郎
    • Organizer
      情報論的学習理論ワークショップ
    • Place of Presentation
      つくば国際会議場(茨城県つくば市)
    • Year and Date
      2015-11-15
    • Related Report
      2015 Research-status Report
  • [Presentation] On the robust nonlinear curve fitting2014

    • Author(s)
      S. Akaho
    • Organizer
      Workshop on Mathematical Approaches to Large-Dimensional Data Analysis
    • Place of Presentation
      東京
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 機械学習におけるコストをめぐる話題2013

    • Author(s)
      赤穂昭太郎
    • Organizer
      電子情報通信学会IBISML-PRMU情報処理学会CVIM合同研究会
    • Place of Presentation
      鳥取
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2014-07-25   Modified: 2019-07-29  

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