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Development of Dynamic.Inverse Optimization Method and Inspection on a Real System

Research Project

Project/Area Number 13680453
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Intelligent informatics
Research InstitutionKyushu Institute Of Technology

Principal Investigator

SHO Hiroshi  Kyushu Institute Of Technology, Department of brain Science & Engineering, Associate Professor, 大学院・生命体工学研究科, 助手 (30235709)

Co-Investigator(Kenkyū-buntansha) ISHIKAWA Masumi  Kyushu Institute Of Technology, Department of brain Science & Engineering, Professor, 大学院・生命体工学研究科, 教授 (60222973)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥3,500,000 (Direct Cost: ¥3,500,000)
Fiscal Year 2003: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥2,200,000 (Direct Cost: ¥2,200,000)
Keywordsinverse optimization / two-point reaching movement / Discrete-time quadratic constraints / interpretation of time-series data / 離散時間2次形制約条件 / ニューラルネットワーク / 学習 / 二次形制約 / 時系列データ解析
Research Abstract

In this research, we proposed various structures of neural network which represent optimality conditions regarding inverse optimization problems. Due to find out a criterion function of decision-maker underlying given time series data of two-point reaching movement, we established some methods of interpretation data by real world data. In our investigations, a numerical value model that reflects spatiotemporal features of given time series data can be obtained by a method for generating discrete time quadratic constraints. Since the noise of the movement command is included in the give data, a scatter about the data occurrence at time step. For preventing it, it is necessary to obtain an average length of the given data by complementing data each other. Accordingly, the obtained numerical value model could be used for solve inverse optimization problems as a known constraints. Thereupon, based on the method of discrete-time static inverse optimization, we can estimate a criterion function under which given time series data become optimal subject to the constraints. By this way, it is confirmed to estimate a criterion function that makes the given time series data of two-point reaching movement become optimal by learning of neural networks. This, approach indicates that it is possible to interpret a difference between each model for analyzing the kinematics characteristic of human arm. It is left for study to compare results between the solution of dynamic inverse optimization problem and the solution of the static inverse optimization problem.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (39 results)

All Other

All Publications (39 results)

  • [Publications] 章 宏, 石川 眞澄: "静的逆最適化による大規模実データの解釈"電子情報通信学会技術研究報告. Vol.101 No.238. 87-94 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "ニューラルネットワークの学習による2次形制約条件付きの静的逆最適化問題の解法"電子情報通信学会技術研究報告. Vol.101 No.616. 147-154 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "効率的制約生成と逆最適化による大規模実データの解釈"統計数理研究所共同研究レポート151逆問題とその周辺. No.8. 43-58 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "静的逆最適化を解くニューラルネットワークの構造とデータ解釈の特徴"電子情報通信学会技術研究報告. Vol.102 No.254. 49-54 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of Real Data by Static Inverse Optimization with Quadratic Constraints"Proceedings of the 9^<th> International Conference on Neural Information Processing(ICONIP'02). No.2. 819-823 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of Time Series Data by Inverse Optimization"Proceedings of the 6^<th> Sanken International Symposium(ISIR). 155-156 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "逆最適化による時系列データ解釈の試み"電子情報通信学会技術研究報告. Vol.102 No.730. 61-66 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "2次形制約下での静的逆最適化によるデータ解釈"統計数理研究所共同研究レポート158 21世紀の診断工学とその周辺. No.1. 89-98 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "静的逆最適化による大規模実データの効率的解釈"電気学会論文誌C. Vol.123 No.6. 1173-1182 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "離散化した静的逆最適化による時系列データ解釈"日本応用数理学会2003年度年会予稿集. 382-383 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "ニューラルネットワークによる2次形制約下での静的逆最適化問題の解法"電気学会論文誌C. Vol.123 No.10. 1901-1907 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Method for Interpreting Time Series Data by a Chain of Static Inverse Optimization"Proceedings(CD)of the 33^<rd> International Conference on Computers & Industrial Engineering. 6 (2004)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Efficient Interpretation of Large-scale Real Data by Static Inverse Optimization in Y.Hon et al.(Ed.):Recent Development in Theories & Numerics-International Conference on Inverse Problems"World Scientific. 454(420-429) (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of a Large-Scale Real Data By Static Inverse Optimization (in Japanese)"Technical Report of IEICE. Vol.101, No.238. 87-94 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Solution to Static Inverse Optimization Problems with Quadratic Constraints (in Japanese)"Technical Report of IEICE. Vol.101, No.616. 147-154 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Efficient Constraints Generation and Interpretation of Large-scale Real Data by Inverse Optimization (in Japanese)"The Institute of Statistical Mathematics Cooperative Research Report 151, Inverse Problems and Applications. No.8. 43-58 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Structures of Neural Networks for Static Inverse Optimization and Characteristics of Data Interpretation (in Japanese)."Technical Report of IEICE. Vol.102, No.254. 49-54 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of Real Data by Static Inverse Optimization with Quadratic Constraints"Proceedings of the 9^<th> International Conference on Neural Information Processing (ICONIP'02), Singapore. No.2. 819-823 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Data Interpretation by Static Inverse Optimization with Quadratic Constraints (in Japanese)"The Institute of Statistical Mathematics Cooperative Research Report 158, The 21^<st'>s Diagnosis Engineering and Applications. 89-98 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of Time Series Data by Inverse Optimization"Proceedings of the 6^<th> Sanken International Symposium (S.I.S.R.), Osaka, Japan. 155-156 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Study on Interpretation of Time Series Data by Inverse Optimization (in Japanese)"Technical Report of IEICE. Vol.102, No.730. 61-66 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa (Y.Hone et al.(Ed)): "Efficient Interpretation of Large-scale Real Data by Static Inverse Optimization"Recent Development.in Theories & Numerics : International Conference on Inverse Problems, Hong Kong (World Scientific). 420-429 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Efficient Interpretation of Large-Scale Real Data by Static Inverse Optimization (in Japanese)"T.IEE of Japan. Vol.123-C, No.6. 1173-1182 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "Interpretation of Time Series Data by Discrete-Time Static Inverse Optimization"2003 National Convention Record Japan Society for Industrial and Applied Mathematics (JSIAM). 382-383 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Solution to Static Inverse Optimization Problems with Quadratic Constraints by Learning of Neural Networks (in Japanese)"T.IEE of Japan. Vol.123-C, No.10. 1901-1907 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Method for Interpretation Time Series Data by a Chain of Static Inverse Optimization"Proceedings (CD) of the 33rd International Conference on Computers & Industrial Engineering, Jeju, Korea. 6 (2004)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 章 宏, 石川 眞澄: "静的逆最適化による大規模実データの効率的解釈"電気学会論文誌. 123-C・6. 1173-1182 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 章 宏, 石川 眞澄: "離散化した静的逆最適化による時系列データ解釈"日本応用数理学会2003年度年会予稿集. 382-383 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 章 宏, 石川 眞澄: "ニューラルネットワークによる2次形制約下での静的逆最適化問題の解法"電気学会論文誌. 123-C・10. 1901-1907 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hong Zhang, Masumi Ishikawa: "A Method for Interpreting Time Series Data by a Chain of Static Inverse Optimization"Proceedings (CD) of the 33^<rd> International Conference on Computers & Industrial Engineering. 1-6 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hong Zhang, Masumi Ishikawa: "Recent Development in Theories & Numerics - International Conference on Inverse Problems (Y.Bon, M.Yamamoto, J.Cheng, J.Lee (Eds))"World Scientific. 420-429 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 章 宏, 石川真澄: "静的逆最適化を解くニューラルネットワークの構造とデータ解釈の特徴"電信技報. Vol.102,No.253. 49-54 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hang Zhang, Masumi Ishikawa: "Interpretation of Real Data By Static Inverse Optimization with Quadratic Constraints"Proceedings of the 9^<th> International Conference on Neural Information Processing (ICONIP'02), Singapore. Vol.2. 819-823 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Hang Zhang, Masumi Ishikawa: "Interpretion of Times Series Data by Inverse Optimization"Proceedings of the 6^<th> Sanken International Symposium (ISIR), Japan. 155-156 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 章宏: "逆最適化による時系列データ解釈の試み"電信技報. Vol.102,No.730. 61-66 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 章宏, 石川真澄: "2次形制約下での静的逆最適化によるデータ解釈"統計数理研究所共同研究レポート. 1. (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] 章宏, 石川眞澄: "静的逆最適化による大規模実データの解釈"電信技報. NC2001-48. 87-94 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 章宏, 石川眞澄: "ニューラルネットワークの学習による2次形制約条件付きの静的逆最適化問題の解法"電信技報. NC2001-126. 147-154 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 章宏, 石川眞澄: "効率的制約生成と逆最適化による大規模実データの解釈"統計数理研究所共同研究レポート148. 8. (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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