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Analysis of various steady states and transient phenomena in digital maps: foundation for theory construction and engineering applications

Research Project

Project/Area Number 15K00350
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Soft computing
Research InstitutionHosei University

Principal Investigator

SAITO Toshimichi  法政大学, 理工学部, 教授 (30178496)

Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywordsソフトコンピューティング / スパイキングニューロン / 進化計算 / デジタルマップ / FPGA
Outline of Final Research Achievements

We have studied analysis and implementation of digital maps (Dmaps). The major results are as the following. First, we have developed an analysis method based on two feature quantities. The first quantity characterizes plentifulness of periodic orbits and the second quantity characterizes stability of the periodic orbits. Applying the method, typical Dmap examples are analyzed and basic phenomena are classified. Second, we have developed a simple evolutionary algorithm to realize a desired Dmap. The algorithm uses individuals each of which corresponds to one Dmap and the number of individuals can vary flexibly. Using typical example problems, the algorithm efficiency is confirmed. Third, we have developed a realization method of Dmaps by means of digital spiking neurons (DSNs). The DSN consists of two shift registers connected by a wiring circuit and can generate various periodic spike-trains. Presenting a FPGA based simple test circuit, the DSN dynamics is confirmed.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (28 results)

All 2018 2017 2016 2015

All Journal Article (14 results) (of which Peer Reviewed: 14 results,  Open Access: 10 results,  Acknowledgement Compliant: 7 results) Presentation (14 results) (of which Int'l Joint Research: 9 results)

  • [Journal Article] A simple integrate-and-fire system and various super-stable periodic orbits2018

    • Author(s)
      Takahashi Risa、Saito Toshimichi
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 9 Issue: 1 Pages: 11-23

    • DOI

      10.1587/nolta.9.11

    • NAID

      130006301361

    • ISSN
      2185-4106
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Basic feature quantities for analysis of periodic orbits in digital return maps2018

    • Author(s)
      Tada Naoki、Saito Toshimichi
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 9 Issue: 1 Pages: 2-10

    • DOI

      10.1587/nolta.9.2

    • NAID

      130006301356

    • ISSN
      2185-4106
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Simple Feature Quantities for Analysis of Periodic Orbits in Dynamic Binary Neural Networks2018

    • Author(s)
      Koyama Seitaro, Aoki Shunsuke, Saito Toshimichi
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E101.A Issue: 4 Pages: 727-730

    • DOI

      10.1587/transfun.E101.A.727

    • NAID

      130006601945

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stabilization of desired periodic orbits in dynamic binary neural networks2017

    • Author(s)
      Sato Ryuji、Saito Toshimichi
    • Journal Title

      Neurocomputing

      Volume: 248 Pages: 19-27

    • DOI

      10.1016/j.neucom.2016.10.084

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Realization of desired digital spike-trains by a simple evolutionary algorithm2017

    • Author(s)
      Saito Toshimichi、Yamaoka Kei、Hamaguchi Tomoki
    • Journal Title

      Nonlinear Theory and Its Applications, IEICE

      Volume: 8 Issue: 4 Pages: 267-278

    • DOI

      10.1587/nolta.8.267

    • NAID

      130006110765

    • ISSN
      2185-4106
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Steady-versus-Transient Plot for Analysis of Digital Maps2016

    • Author(s)
      H. Yamaoka, T. Saito,
    • Journal Title

      IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

      Volume: E99.A Issue: 10 Pages: 1806-1812

    • DOI

      10.1587/transfun.E99.A.1806

    • NAID

      130005597975

    • ISSN
      0916-8508, 1745-1337
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] 粒子群最適化の動的最大電力点追従への応用2016

    • Author(s)
      田中嶋孝祐, 斎藤利通
    • Journal Title

      進化計算学会論文誌

      Volume: 7 Pages: 24-31

    • NAID

      130005277225

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Stability Analysis of Periodic Orbits in Digital Spiking Neurons2016

    • Author(s)
      T. Hamaguchi, K. Yamaoka, and T. Saito
    • Journal Title

      Lecture Notes in Computer Science, Springer

      Volume: 9948 Pages: 334-341

    • DOI

      10.1007/978-3-319-46672-9_38

    • ISBN
      9783319466712, 9783319466729
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Stability of Periodic Orbits in Dynamic Binary Neural Networks with Ternary Connection2016

    • Author(s)
      K. Makita, R. Sato, and T. Saito
    • Journal Title

      Lecture Notes in Computer Science, Springer

      Volume: 9947 Pages: 421-429

    • DOI

      10.1007/978-3-319-46687-3_47

    • ISBN
      9783319466866, 9783319466873
    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A Cascade System of Dynamic Binary Neural Networks and Learning of Periodic Orbit2015

    • Author(s)
      J. Moriyasu and T. Saito
    • Journal Title

      IEICE Transactions on Information and Systems

      Volume: E98.D Issue: 9 Pages: 1622-1629

    • DOI

      10.1587/transinf.2014OPP0011

    • NAID

      130005096802

    • ISSN
      0916-8532, 1745-1361
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Stability Analysis of Multi-Phase Synchronization in Paralleled Buck Converters with Winner-Take-All and Loser-Take-All Switching Rules2015

    • Author(s)
      T. Ohata and T. Saito
    • Journal Title

      IEEE Journal on Emerging and Selected Topics in Circuits and Systems

      Volume: 5 Issue: 3 Pages: 345-353

    • DOI

      10.1109/jetcas.2015.2462191

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] Growing Greedy Search and its Application to Hysteresis Neural Networks2015

    • Author(s)
      K. Yamaoka and T. Saito
    • Journal Title

      LNCS, Springer

      Volume: 9491 Pages: 315-322

    • DOI

      10.1007/978-3-319-26555-1_36

    • ISBN
      9783319265544, 9783319265551
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Simple Feature Quantities for Learning of Dynamic Binary Neural Networks2015

    • Author(s)
      R. Sato and T. Saito
    • Journal Title

      LNCS, Springer

      Volume: 9489 Pages: 226-233

    • DOI

      10.1007/978-3-319-26532-2_25

    • ISBN
      9783319265315, 9783319265322
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Analysis of Mixed-Rule Cellular Automata based on Simple Feature Quantities2015

    • Author(s)
      N. Tada and T. Saito
    • Journal Title

      LNCS Springer

      Volume: 9490 Pages: 484-491

    • DOI

      10.1007/978-3-319-26535-3_55

    • ISBN
      9783319265346, 9783319265353
    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] 特徴量に基づくセルオートマトンの解析2017

    • Author(s)
      多田直樹, 斎藤利通
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      北九州学術研究都市 産学連携センター(福岡県・北九州市)
    • Year and Date
      2017-01-26
    • Related Report
      2016 Research-status Report
  • [Presentation] Connection Sparsity versus Orbit Stability in Dynamic Binary Neural Networks2017

    • Author(s)
      Shunsuke Aoki, Ryuji Sato, Toshimichi Saito
    • Organizer
      IJCNN
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Implementation of Desired Digital Spike Maps in the Digital Spiking Neurons2017

    • Author(s)
      Uchida Hiroaki, Saito Toshimichi
    • Organizer
      ICONIP
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Stability of Periodic Orbits and Fault Tolerance in Dynamic Binary Neural Network2017

    • Author(s)
      Shunsuke Aoki, Toshimichi Saito
    • Organizer
      ICONIP
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Basic Analysis of Cellular Dynamic Binary Neural Networks2017

    • Author(s)
      Kazuma Makita, Takahiro Ozawa, Toshimichi Saito
    • Organizer
      ICONIP
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] ダイナミックバイナリーニューラルネットのスパース化について2016

    • Author(s)
      青木俊祐, 佐藤龍直, 斎藤利通
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      日立製作所 中央研究所(東京都・国分寺市)
    • Year and Date
      2016-10-27
    • Related Report
      2016 Research-status Report
  • [Presentation] The Imaginary Particle Swarm Optimizer for Dynamic Maximum Power Point Tracking2016

    • Author(s)
      R. Akeno, K. Tanakajima, and T. Saito
    • Organizer
      IEEE International Conference on Systems, Man, and Cybernetics
    • Place of Presentation
      Budapest, Hungary
    • Year and Date
      2016-10-09
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Realization of Desired Super-Stable Spike-Trains Based on Digital Spiking Neurons2016

    • Author(s)
      K. Yamaoka and T. Saito
    • Organizer
      IEEE World Congress on Computational Intelligence
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis of Various Periodic Orbits in Simple Dynamic Binary Neural Networks2016

    • Author(s)
      R. Sato, K. Makita, and T. Saito
    • Organizer
      IEEE World Congress on Computational Intelligence
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2016-07-24
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Realization of Desired Super-Stable Spike-Trains Based on Digital Spiking Neurons2016

    • Author(s)
      K. Yamaoka and T. Saito
    • Organizer
      IEEE WCCI
    • Place of Presentation
      Vancouver (Canada)
    • Year and Date
      2016-07-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Analysis of Various Periodic Orbits in Simple Dynamic Binary Neural Networks2016

    • Author(s)
      R. Sato, K. Makita, and T. Saito
    • Organizer
      IEEE WCCI
    • Place of Presentation
      Vancouver (Canada)
    • Year and Date
      2016-07-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] スパース化による動的バイナリーニューラルネットの学習2015

    • Author(s)
      佐藤龍直, 斎藤利通
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      アステールプラザ(広島県・広島市)
    • Year and Date
      2015-10-05
    • Related Report
      2015 Research-status Report
  • [Presentation] 成長貪欲探索法に基づくデジタルスパイク列の生成2015

    • Author(s)
      山岡慧, 斎藤利通
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      アステールプラザ(広島県・広島市)
    • Year and Date
      2015-10-05
    • Related Report
      2015 Research-status Report
  • [Presentation] 基本的な混合ルールセルオートマトンの簡素な特徴量2015

    • Author(s)
      多田直樹, 斎藤利通
    • Organizer
      電子情報通信学会非線形問題研究会
    • Place of Presentation
      アステールプラザ(広島県・広島市)
    • Year and Date
      2015-10-05
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2023-03-16  

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