• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Geometrical Information Processing by Hypercomplex-valued Neural Networks

Research Project

Project/Area Number 24700227
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Sensitivity informatics/Soft computing
Research InstitutionUniversity of Hyogo

Principal Investigator

ISOKAWA Teijiro  兵庫県立大学, 工学(系)研究科(研究院), 准教授 (70336832)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Keywords複素ニューラルネットワーク / 超複素数 / 四元数 / 連想記憶 / ホップフィールドネットワーク / ニューラルネットワーク / 局所解析性 / 活性化関数
Outline of Final Research Achievements

This research project intended to investigate neural network models based on complex and hypercomplex number systems, from the viewpoints of theoretical analysis and applications to practical/engineering problems. For dealing with high-dimensional data, such as color information and body coordinate systems, neural networks with hypercomplex number systems are expected to work more efficiently than conventional (real-valued) neural networks. In the term of this research project, several researches had been conducted, i.e., the analysis of fundamental properties for associative memories based on quaternionic (four dimensional hypercomplex number) Hopfield networks and the application of counting pedestrians from the sequences of scenery images.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (16 results)

All 2015 2014 2013 2012

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (13 results) Book (1 results)

  • [Journal Article] An Anchor-Free Localization Scheme with Kalman Filtering in Zigbee Sensor Network2013

    • Author(s)
      T.Isokawa, S.Motomura, J.Ohtsuka, H.Kawa, S.Nakashima, N.Kamiura, and N.Matsui
    • Journal Title

      ISRN Sensor Networks, Article ID 356231

      Volume: 2013 Pages: 1-11

    • DOI

      10.1155/2013/356231

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quaternionic Multilayer Perceptron with Local Analyticity2012

    • Author(s)
      T.Isokawa, H.Nishimura, and N.Matsui
    • Journal Title

      Information

      Volume: 3(4) Issue: 4 Pages: 756-770

    • DOI

      10.3390/info3040756

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Extended Projection Rule for Quaternionic Multistate Hopfield Neural Network2015

    • Author(s)
      Toshifumi Minemoto
    • Organizer
      20th International Symposium on Artificial Life and Robotics 2015 (AROB 20th 2015)
    • Place of Presentation
      別府国際コンベンションセンター(大分県別府市山の手町)
    • Year and Date
      2015-01-21 – 2015-01-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] 高次元ニューラルネットワークに基づく記銘パターンの擬似直行化2014

    • Author(s)
      峯本俊文
    • 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
      岡山大学 創立五十周年記念館(岡山県岡山市北区)
    • Year and Date
      2014-11-21 – 2014-11-23
    • Related Report
      2014 Annual Research Report
  • [Presentation] Utilizing High-Dimensional Neural Networks for Pseudo-orthogonalization of Memory Patterns2014

    • Author(s)
      Toshifumi Minemoto
    • Organizer
      International Conference on Neural Information Processing (ICONIP2014)
    • Place of Presentation
      Imperial Hotel(マレーシア国サワラク州クチン省)
    • Year and Date
      2014-11-03 – 2014-11-06
    • Related Report
      2014 Annual Research Report
  • [Presentation] On Processing Three Dimensional Data by Quaternionic Neural Networks2013

    • Author(s)
      N.Muramoto, T.Isokawa, H.Nishimura, and N.Matsui
    • Organizer
      International Joint Conference on Neural Networks (IJCNN2013)
    • Place of Presentation
      Dallas, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] An Application of Quantum-Inspired Particle Swarm Optimization to Function Optimization Problems2013

    • Author(s)
      K.Tazuke, N.Muramoto, N.Matsui, and T.Isokawa
    • Organizer
      International Joint Conference on Neural Networks (IJCNN2013)
    • Place of Presentation
      Dallas, USA
    • Related Report
      2013 Research-status Report
  • [Presentation] A Scheme for Counting Pedestrians by Quaternionic Multilayer Perceptron2013

    • Author(s)
      N.Muramoto, T.Minemoto, T.Isokawa, H.Nishimura, N.Kamiura, and N.Matsui
    • Organizer
      14th International Symposium on Advanced Intelligent Systems (ISIS2013)
    • Place of Presentation
      Daejeon, Korea
    • Related Report
      2013 Research-status Report
  • [Presentation] Function Approximation by Complex-Valued Multilayer Perceptron with Stochastic Resonance2013

    • Author(s)
      K.Ogawa, T.Isokawa, H.Nishimura, N.Kamiura, and N.Matsui
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      Nagoya, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] A Complex-valued Design for Synergetic Computers2013

    • Author(s)
      K.Omachi, T.Isokawa, H.Nishimura, N.Kamiura, and N.Matsui
    • Organizer
      SICE Annual Conference 2013
    • Place of Presentation
      Nagoya, Japan
    • Related Report
      2013 Research-status Report
  • [Presentation] On the Fundamental Properties of Fully Quaternionic Hopfield Network2012

    • Author(s)
      T.Isokawa, H.Nishimura, and N.Matsui
    • Organizer
      Proceedings of IEEE World Congress on Computational Intelligence (WCCI2012)
    • Place of Presentation
      Brisbane, Australia
    • Related Report
      2012 Research-status Report
  • [Presentation] On Detecting Waggle Dance Behaviors from Spatio-Temporal Sectional Images2012

    • Author(s)
      M.Fujii, T.Isokawa, H.Ikeno, N.Kamiura, A.Saitoh, and N.Matsui
    • Organizer
      Proceedings of SICE Annual Conference 2012
    • Place of Presentation
      Akita, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] Retrieval Performance of Complex-Valued Associative Memory with Complex Network Structure2012

    • Author(s)
      K.Omachi, T.Isokawa, N.Kamiura, H.Nishimura, and N.Matsui
    • Organizer
      Proceedings of Fifth International Conference on Emerging Trends in Engineering and Technology (ICETET-12)
    • Place of Presentation
      Himeji, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] Pattern Stability on Complex-Valued Associative Memory by Local Iterative Learning Scheme2012

    • Author(s)
      H.Yamamoto, T.Isokawa, H.Nishimura, N.Kamiura, and N.Matsui
    • Organizer
      Proceedings of 6th International Conference on Soft Computing and Intelligent Systems & 13th International Symposium on Advanced Intelligent Systems (SCIS-ISIS 2012)
    • Place of Presentation
      Kobe, Japan
    • Related Report
      2012 Research-status Report
  • [Presentation] On Improvement of Anchor-Free Localization in Zigbee Sensor Network2012

    • Author(s)
      S.Motomura, T.Isokawa, H.Kawa, S.Nakashima, N.Kamiura, and N.Matsui
    • Organizer
      Proceedings of Third International Conference on Networking and Computing
    • Place of Presentation
      Okinawa, Japan
    • Related Report
      2012 Research-status Report
  • [Book] A. Hirose ed. Complex-Valued Neural Networks: Advances and Applications, chapter 5, Quaternionic Neural Networks for Associative Memories2013

    • Author(s)
      T.Isokawa, H.Nishimura, and N.Matsui
    • Total Pages
      28
    • Publisher
      Wiley-IEEE Press
    • Related Report
      2013 Research-status Report

URL: 

Published: 2013-05-31   Modified: 2019-07-29  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi