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Color Information Processing based on Quaternionic Neural Networks

Research Project

Project/Area Number 21700259
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Sensitivity informatics/Soft computing
Research InstitutionUniversity of Hyogo

Principal Investigator

ISOKAWA Teijiro  兵庫県立大学, 大学院・工学研究科, 准教授 (70336832)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords連想記憶 / 四元数 / 複素数 / ニューラルネットワーク / クォータニオン / シナジェティックコンピュータ / 可換クォータニオン / 複素ニューラルネットワーク / 射影学習 / 局所逐次学習 / Hebb学習
Research Abstract

This research subject aims to investigate the analysis for complex-valued and quaternionic-valued associative memory, which can store and retrieve higher dimensional data. Quaternion is a class of hypercomplex number system with rank four. The following two subjects are mainly explored
(1) Associative memory that can store and retrieve three dimensional signals, such as images or body coordinates, is proposed and analyzed. Also, schemes for embedding patterns onto the networks are also studied.
(2) Synergetic computer, which is a type of associative memory, is investigated through its parameters are encoded by complex values. The performance evaluations are conducted through the retrievals of gray-scaled images.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (13 results)

All 2011 2010 2009

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (12 results)

  • [Journal Article] 複素シナジェティックコンピュータの想起性能2011

    • Author(s)
      松井伸之, 木村允謙, 礒川悌次郎
    • Journal Title

      計測自動制御学会論文集

      Volume: vol.47, no.11 Pages: 563-570

    • NAID

      10030165571

    • URL

      http://www.sice.or.jp/kaishi/ronbun/ron2000/ron201111.htm

    • Related Report
      2011 Annual Research Report 2011 Final Research Report
    • Peer Reviewed
  • [Presentation] 高次元連想記憶モデルとその基本特性2011

    • Author(s)
      礒川悌次郎
    • Organizer
      第1回コンピューテーショナル・インテリジェンス研究会
    • Place of Presentation
      京都工芸繊維大学(京都府京都市)
    • Year and Date
      2011-09-30
    • Related Report
      2011 Annual Research Report
  • [Presentation] On Retrieval Performance of Associative Memory by Complex-valued Synergetic Computers2011

    • Author(s)
      T.Isokawa
    • Organizer
      International Joint Conference on Neural Networks (IJCNN2011)
    • Place of Presentation
      San Jose, California (USA)
    • Year and Date
      2011-08-03
    • Related Report
      2011 Annual Research Report
  • [Presentation] 可換クォータニオンに基づく多値ホップフィールドニューラルネットワーク2011

    • Author(s)
      礒川悌次郎
    • 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
      神戸大学(兵庫県神戸市)
    • Year and Date
      2011-07-25
    • Related Report
      2011 Annual Research Report
  • [Presentation] On Retrieval Performance of Associative Memory by Complex-valued Synergetic Computers2011

    • Author(s)
      M. Kimura, T. Isokawa, H. Nishimura, and N. Matsui
    • Organizer
      Proceedings of International Joint Conference on Neural Networks(IJCNN2011)
    • Related Report
      2011 Final Research Report
  • [Presentation] An Analysis on Image Recognition in Complex-valued Synergetic Computers2010

    • Author(s)
      Masaaki Kimura
    • Organizer
      Joint 5th Conference on Soft Computing and Intelligent Systems and 11th International Symposium on Advanced Intelligent Systems (SCIS & ISIS 2010)
    • Place of Presentation
      岡山コンベンションセンター(岡山県岡山市)
    • Year and Date
      2010-12-11
    • Related Report
      2010 Annual Research Report
  • [Presentation] 複素シナジェティックコンピュータによるパターン認識2010

    • Author(s)
      木村允謙
    • Organizer
      計測自動制御学会システム・情報部門学術講演会
    • Place of Presentation
      キャンパスプラザ京都(京都府京都市)
    • Year and Date
      2010-11-25
    • Related Report
      2010 Annual Research Report
  • [Presentation] Commutative Quaternion and Multistate Hopfield Neural Networks2010

    • Author(s)
      Teijiro Isokawa
    • Organizer
      IEEE World Congress on Computational Intelligence (WCCI2010)
    • Place of Presentation
      Centre de Convencions Internacional de Barcelona(スペイン・バルセロナ)
    • Year and Date
      2010-07-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Commutative Quaternion and Multistate Hopfield Neural Networks2010

    • Author(s)
      T. Isokawa, H. Nishimura, and N. Matsui
    • Organizer
      Proceedings of IEEE World Congress on Computational Intelligence(WCCI2010)
    • Related Report
      2011 Final Research Report
  • [Presentation] An Analysis on Image Recognition in Complex-Valued Synergetic Computers2010

    • Author(s)
      M. Kimura, T. Isokawa, A. Saitoh, N. Kamiura, and N. Matsui
    • Organizer
      Proceedings of Joint 5th Conference on Soft Computing and Intelligent Systems and 11th International Symposium on Advanced Intelligent Systems(SCIS & ISIS 2010)
    • Related Report
      2011 Final Research Report
  • [Presentation] 高次元ホップフィールドニューラルネットワークにおける逐次学習スキームの検討2009

    • Author(s)
      礒川悌次郎
    • Organizer
      電子情報通信学会・非線形問題研究会
    • Place of Presentation
      屋久島環境文化村センター(鹿児島県熊毛郡)
    • Year and Date
      2009-11-14
    • Related Report
      2009 Annual Research Report
  • [Presentation] An Iterative Learning Scheme for Multistate Complex-Valued and Quaternionic Hopfield Neural Networks2009

    • Author(s)
      Teijiro Isokawa
    • Organizer
      Intemational Joint Conference on Neural Networks (IJCNN2009)
    • Place of Presentation
      Westin PeachTree Hotel(アトランタ・アメリカ)
    • Year and Date
      2009-06-18
    • Related Report
      2009 Annual Research Report
  • [Presentation] An Iterative Learning Scheme for Multistate Complex-Valued and Quaternionic Hopfield Neural Networks2009

    • Author(s)
      T. Isokawa, H. Nishimura, and N. Matsui
    • Organizer
      Proceedings of International Joint Conference on Neural Networks(IJCNN2009)
    • Related Report
      2011 Final Research Report

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Published: 2009-04-01   Modified: 2016-04-21  

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