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Generalize scaling method for mathematical and informational understandings of Complex systems

Research Project

Project/Area Number 17500138
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sensitivity informatics/Soft computing
Research InstitutionChiba University

Principal Investigator

MATSUBA Ikuo  Chiba University, Graduate School of Advanced Integration Science, Professor (30251177)

Co-Investigator(Kenkyū-buntansha) KAWARADA Hideo  Ruytsu Keizai University, Distribution and logistics, Professor (90010793)
KOSHIGOE Hideyuki  Chiba University, Graduate School of Engineering, Associate Professor (70110294)
MORI Yasukuni  Chiba University, Graduate School of Advanced Integration Science, Assistant Professor (40361414)
Project Period (FY) 2005 – 2007
Project Status Completed (Fiscal Year 2007)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2005: ¥1,800,000 (Direct Cost: ¥1,800,000)
KeywordsSoft computing / Self organization / Mathematical engineering
Research Abstract

It is a common feature of some physical systems consisting of a large number of coupled systems that a cascade of energy flow from large to small scales generates a scaling behavior, namely power-law behavior of some observable. Scaling is found in a wide range of systems, from geophysical to biological. A typical example is seismicity that is characterized by an energy transfer through a hierarchy structure. One of recent research is to apply this idea to explain the observed scaling laws. In this study, we proposed the general framework of scaling with many variables and its method that exhibit self-similar properties. The commonly used dynamically driven fractal method is useful to analyze the scale invariance of the spatiotemporal structures produced by the operation of the updating algorithm. This method integrates the model in space and time in the analysis of the effect of coarse graining on the dynamics to produce the set of scaling equations from which various characteristic exponents are obtained.

Report

(4 results)
  • 2007 Annual Research Report   Final Research Report Summary
  • 2006 Annual Research Report
  • 2005 Annual Research Report
  • Research Products

    (34 results)

All 2008 2007 2006 2005 Other

All Journal Article (19 results) (of which Peer Reviewed: 5 results) Presentation (12 results) Book (3 results)

  • [Journal Article] ブートストラップ法による少数データのリアプノフ指数精度向上法と経済時系列への応用2008

    • Author(s)
      今野良彦, 森 康久仁, 松葉育雄
    • Journal Title

      電子情報通信学論文誌 J91(印刷中)

    • NAID

      110006250675

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stochastically equivalent dynamical system approach tononlinear deterministic prediction2007

    • Author(s)
      松葉育雄
    • Journal Title

      Inter. J. of Bifurcation and Chaos 16

      Pages: 2721-2728

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] Stochastically equivalent dynamical system approach to nonlinear deterministic prediction2007

    • Author(s)
      Matsuba
    • Journal Title

      Inter. J. of Bifurcation and Chaos 16

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Statistics for Long Memory Processes2007

    • Author(s)
      Matsuba
    • Journal Title

      Kyoritsu 359

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Stochastically equivalent dynamical system approach to nonlinear deterministic prediction2007

    • Author(s)
      松葉 育雄
    • Journal Title

      Inter.J.of Bifurcation and Chaos 16

      Pages: 2721-2728

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ブートストラップ法による少数データのリアプノブ指数精度向上法と経済時系列への応用2007

    • Author(s)
      今野 良彦, 森康 久仁, 松葉 育雄
    • Journal Title

      電子情報通信学論文誌 (採録決定)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] ブートストラップ法による少数時系列データのリアプノフ指数の精度向上と経済時系列への応用2007

    • Author(s)
      今野良彦, 森康久仁, 松葉育雄
    • Journal Title

      電子情報通信学会技術研究報告 146

      Pages: 21-26

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Self-similar structure of wire length distribution of random logic2006

    • Author(s)
      I. Matsuba
    • Journal Title

      Chaos, Solitons & Fractals 31

      Pages: 2721-2728

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
    • Peer Reviewed
  • [Journal Article] ニューラルネットワークによる非線形時系列予測2006

    • Author(s)
      松葉育雄
    • Journal Title

      日本信頼性学会誌 28

      Pages: 442-450

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Self-similar structure of wire length distribution of random logic2006

    • Author(s)
      Matsuba
    • Journal Title

      Chaos, Solitons & Fractals 31

      Pages: 2721-2728

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] Nonlinear prediction using Neural networks2006

    • Author(s)
      Matsuba
    • Journal Title

      Reliability Engineering Association 28

      Pages: 442-450

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] ブートストラップ法による少数時系列データのリアプノフ指数の精度向上2006

    • Author(s)
      今野良彦, 森康久仁, 松葉育雄
    • Journal Title

      第5回情報科学技術フォーラム F-021

      Pages: 293-294

    • Related Report
      2006 Annual Research Report
  • [Journal Article] ニューラルネットワークによる非線形時系列予測2006

    • Author(s)
      松葉育雄
    • Journal Title

      日本信頼性学会誌 26巻6号

      Pages: 442-450

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Self-similar structure of wire length distribution of random logic2006

    • Author(s)
      I.Matsuba
    • Journal Title

      Chaos, Solitons & Fractals (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Stochastically equivalent dynamical system approach to nonlinear deterministic prediction2006

    • Author(s)
      I.Matsuba, H.Takahashi, S.Wakasa
    • Journal Title

      Inter.J.of Bifurcation and Chaos (掲載予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] (Artificial Intelligence Society) Dictionary of Artificial Intelligence2005

    • Author(s)
      Matsuba
    • Journal Title

      Kyoritsu 976

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Journal Article] フラクタル次元を用いた補間時系列の生成法2005

    • Author(s)
      千葉隆司, 松葉育雄
    • Journal Title

      電子情報通信学会境界システムソサエテイ大会講演論文集 A-2-2

      Pages: 2-2

    • Related Report
      2005 Annual Research Report
  • [Journal Article] 経済時系列のフラクタル補間法2005

    • Author(s)
      千葉隆司, 松葉育雄
    • Journal Title

      電子情報通信学会技術研究報告 NLP2005

      Pages: 6-6

    • NAID

      110003292787

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Improving Lyapunov Exponents Using Bootstrap Method and Its Application to Financial Time Series

    • Author(s)
      Imano, Mori, Matsuba
    • Journal Title

      IEICE J91 (in press)

    • NAID

      110006250675

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ブートストラップ法による少数時系列データのリアプノフ指数の精度向上と経済時系列への応用2007

    • Author(s)
      今野良彦, 森康久仁, 松葉育雄
    • Organizer
      電子情報通信学会技術研究報告
    • Place of Presentation
      東北大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 小鳥の歌文法を再現するニューラルネットワーク2007

    • Author(s)
      小谷潤一郎, 森康久仁, 松葉育雄
    • Organizer
      第7回情報科学技術フォーラム
    • Place of Presentation
      中京大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Neural Network Model Generating Symbol Sequence for Songs of Bengalese Finch2007

    • Author(s)
      小谷潤一郎, 森康久仁, 松葉育雄
    • Organizer
      Inter. Conference on Cognitive Neurodynamics
    • Place of Presentation
      Shanghai
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Improving the Lyapunov Exponent of Short Time Series by Bootstrap Method and its Application to Finance2007

    • Author(s)
      Imano, Mori, Matsuba
    • Organizer
      Technical Report of IEICE
    • Place of Presentation
      Tohoku University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Neural network model generating symbol sequence for songs of Bengalese Finch2007

    • Author(s)
      Kotani, Mori, Matsuba
    • Organizer
      Technical Report of IEICE
    • Place of Presentation
      Chukyou University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Neural Network Model Generating Symbol Sequence for Songs of Bengalese Finch2007

    • Author(s)
      Kotani, Mori, Matsuba
    • Organizer
      Cognitive Neurodynamics
    • Place of Presentation
      Shanghai
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] ブートストラップ法による少数時系列データのリアプノブ指数の精度向上2006

    • Author(s)
      今野良彦, 森康久仁, 松葉育雄
    • Organizer
      第5回情報科学技術フォーラム
    • Place of Presentation
      福岡大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Improving the Lyapunov Exponent of Short Time Series by Bootstrap Method2006

    • Author(s)
      Imano, Mori, Matsuba
    • Organizer
      Technical Report of IEICE
    • Place of Presentation
      Fukuoka University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] フラクタル次元を用いた補間時系列の生成法2005

    • Author(s)
      千葉隆司, 松葉育雄
    • Organizer
      電子情報通信学会境界システムソサエテイ大会講演論文集
    • Place of Presentation
      大阪大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] 経済時系列のフラクタル補間法2005

    • Author(s)
      千葉隆司, 松葉育雄
    • Organizer
      電子情報通信学会技術研究報告(NLP2005)
    • Place of Presentation
      長岡技術大学
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Interpolation of Time Series using Fractal Dimension2005

    • Author(s)
      Chiba, Matsuba
    • Organizer
      Technical Report of IEICE
    • Place of Presentation
      Osaka University
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Presentation] Interpolation Financial Tune Series using Fractal Dimension2005

    • Author(s)
      Chiba, Matsuba
    • Organizer
      Technical Report of IEICE
    • Place of Presentation
      Nagaoka University of Technology
    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 長期記憶過程の統計2007

    • Author(s)
      松葉育雄
    • Total Pages
      359
    • Publisher
      共立出版
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary
  • [Book] 長期記憶過程の統計2007

    • Author(s)
      松葉 育雄
    • Total Pages
      359
    • Publisher
      共立出版
    • Related Report
      2007 Annual Research Report
  • [Book] 人工知能学辞典2005

    • Author(s)
      松葉育雄(人工知能学会編集)
    • Total Pages
      976
    • Publisher
      共立出版
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2007 Final Research Report Summary 2005 Annual Research Report

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Published: 2005-04-01   Modified: 2016-04-21  

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