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PORTFOLIO OPTIMIZATION USING MULTI-CRITERIA DECISION ANALYSIS AND MACHINE LEARNING

Research Project

Project/Area Number 10680441
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 社会システム工学
Research InstitutionKONAN UNIVERSITY

Principal Investigator

NAKAYAMA Hirotaka  KONAN UNIVERSITY DEPARTMENT OF APPLIED MATHEMATICS PROFESSOR, 理学部, 教授 (20068141)

Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥2,800,000 (Direct Cost: ¥2,800,000)
Fiscal Year 2000: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1999: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1998: ¥1,300,000 (Direct Cost: ¥1,300,000)
KeywordsMULTI-OBJECTIVE PROGRAMMING / MACHINE LEARNING / PORTFOLIO / FINANCIAL ENGINEERING / ポートフォリオ最適化 / ラフ集合 / ポテンシャル法 / RBFネットワーク / 金融投資問題 / 忘却 / 多目的決定 / ポートフォリオ
Research Abstract

One of main features in financial investment problems is that the situation changes very often over time. In applying machine learning techniques under this circumstance, in particular, it has been observed that additional learning plays an effective role. However, since the rule for classification becomes more and more complex with only additional learning, some appropriate forgetting is also necessary. It seems natural that many data are forgotten as the time elapses. We call the way of forgetting based only on the time elapse "passive forgetting". On the other hand, it is expected more effective to forget unnecessary data actively. We call this way of forgetting "unnecessary data" actively "active forgetting". In this research, several ways for active forgetting in machine leaning have been developed and applied to stock portfolio problems. As a result, it has been shown that active forgetting provides better results than mere additional learning or passive forgetting. It can be exp … More ected that an effective decision support system for portfolio problems can be obtained by applying some of multi-objective programming techniques (e.g., Satisficing Trade-off Method developed by the author) to candidate stocks which are selected by machine learning with active forgetting.
In the first year of the research term, additional learning and passive forgetting in RBF networks was developed. Through numerical experiments, it was shown that this new technology works effectively in stock portfolio problems.
In the next year of the research term, rule extraction was tried by using the rough set theory. Although many machine learning techniques such as artificial neural networks can provide good results, they are not transparent (i.e., of black box). In many actual situations, people want to see how the prediction was made. To this end, extraction of explicit rules is needed. It was shown that the rough set theory can work effectively for this purpose.
In the last year of the research term, active forgetting was developed. Applying active forgetting in the potential method, remarkably beneficial results were obtained in stock portfolio problems. On the basis of the obtained results, a decision support system for stock portfolio is on trial to combine the above machine learning techniques and multi-objective programming techniques. Less

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (43 results)

All Other

All Publications (43 results)

  • [Publications] H.Nakayama and N.Kagaku: "Pattern C1assification by Linear Goal Programming and its Extensions"J.of Global Optimization. 12. 111-126 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama,S.Yanagiuchi,K.Furukawa,Y.Araki,S.Suzuki and M.Nakata: "Additional Learning and Forgetting by RBF Networks and its Application to Design of Support Structures in Tunnel Construction"Proc.International ICSC/IFAC Symposium on Neural Computation (NC'98). 544-550 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Arakawa,I.Hagiwara,H.Nakayama,H.Yamakawa: "Multiobjective Optimization using Adaptive Range Genetic Algorithm with Data Envelopment Analysis"Proc.of AIAA-98 (TP98-4970). 2074-2082 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama: "Growing Learning Machines and their Applications to Portfolio Problems"Proc.of the International ICSC Congress on Computational Intelligence Methods and Applications (CIMA'99). 680-683 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama,M.Arakawa and R.Sasaki: "An optimization Technique Decreasing the Number of Analysis in Engineering Design"Proc.of the First China-Japan-Korea Joint Symposium on Optimization of Structural and mechanical Systems. 509-515 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun,H.Nakayama,T.Tanino and M.Arakawa: "Generalized Data Envelopment Analysis and its Application to Multi-objective Optimization"Proc.of the First China-Japan-Korea Joint Symposium on Optimization of Structural and mechanical Systems. 563-569 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 尹禮分,中山弘隆,谷野哲三: "包絡分析法(DEA)モデルの一般化"計測自動制御学会論文集. 35. 1113-1118 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama,Y.Hattori and R.Ishii: "Rule Extraction based on Rough Set Theory and its Application to Medical Data Analysis"Proc.of IEEE International Conference on Systems, Man and Cybernetics. V-924-154 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 尹禮分,中山弘隆,谷野哲三,荒川雅生: "一般化包絡分析法と遺伝アルゴリズムによる多目的最適化の一手法"システム制御情報学会論文誌. 13. 170-185 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama,Y.B.Yun and T.Tanino: "Generalized Data Envelopment Analysis and its Application"New Frontiers of Decision Making for Information Technology Era,Y.Shi and M.Zeleny (eds.), World Scientific. 227-248 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama and K.Yoshii: "Active Forgetting in Machine Learning and its Application to Financial Problems"Proc.International Joint Symposium on Neural Networks. (in CD ROM). (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 尹禮分,中山弘隆,谷野哲三: "一般化包絡分析法への双対アプローチ"計測自動制御学会論文集. 36. 804-809 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] T.Gal,T.Hanne and T.Stewart (eds.): "Adavances in Multiple Criteria Decision Making"Kluwer Academic Publishers. 520 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 田村坦之 編: "システム工学"オーム社. 121 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] A.P.Wierzbicki,M.Makowski and J.Wessels (eds.): "Model-based Decision Support Methodology with Environmental Applications"Kluwer Academic Publishers. 475 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.Shi and M.Zeleny (eds.): "New Frontiers of Decision Making for Information Technology Era"World Scientific. 420 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama and N.Kagaku: "Pattern Classification by Linear Goal Programming and its Extensions"J.of Global Optimization. 12. 111-126 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama, S.Yanagiuchi, K.Furukawa, Y.Araki, S.Suzuki and M.Nakata: "Additional Learning and Forgetting by RBF Networks and its Application to Design of Support Structures in Tunnel Construction"Proc. International ICSC/IFAC Symposium on Neural Computation (NC'98). 544-550 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] M.Arakawa, I.Hagiwara, H.Nakayama, H.Yamakawa: "Multiobjective Optimization using Adaptive Range Genetic Algorithm with Data Envelopment Analysis"Proc. of AIAA-98 (TP98-4970). 2074-2082 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama: "Growing Learning Machines and their Applications to Portfolio Problems"Proc. of the International ICSC Congress on Computational Intelligence Methods and Applications (CIMA'99). 680-683 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama, M.Arakawa and R.Sasaki: "An optimization Technique Decreasing the Number of Analysis in Engineering Design"Proc. of the First China-Japan-Korea Joint Symposium on Optimization of Structural and mechanical Systems. 509-515 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun, H.Nakayama, T.Tanino and M.Arakawa: "Generalized Data Envelopment Analysis and its Application to Multi-objective Optimization"Proc. of the First China-Japan-Korea Joint Symposium on Optimization of Structural and mechanical Systems. 563-569 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun, H.Nakayama and T.Tanino: "A Generalization of DEA Model (in Japanese)"Trans. of Society of Instrument and Control Engineering. 35. 1113-1118 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama, Y.Hattori and R.Ishii: "Rule Extraction based on Rough Set Theory and its Application to Medical Data Analysis"Proc. of IEEE International Conference on Systems, Man and Cybernetics. V-924-929 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun, H.Nakayama, T.Tanino and M.Arakawa: "A Multi-objective Optimization Method combining Generalized Data Envelopment Analysis and Genetic Algorithms"Proc. of IEEE International Conference on Systems, Man and Cybernetics. I-671-676 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama, M.Arakawa and R.Sasaki: "Optimization of Unknown Objective Functions by RBF networks and Genetic algorithms (in Japanese)"Transact. of Institute of Systems, Control and Information Engineers. 13. 152-154 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama, M.Arakawa and R.Sasaki: "Optimization of Unknown Objective Functions by RBF networks and Genetic algorithms (in Japanese)"Transact. of Institute of Systems, Control and Information Engineers. 13. 179-185 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun, H.Nakayama and T.Tanino: "A Dual Approach to Generalized Data Envelopment Analysis (in Japanese)"Trans. of Society of Instrument and Control Engineering. 36. 804-809 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Y.B.Yun, H.Nakayama and T.Tanino: "On Efficiency of Data Envelopment Analysis"Research and Practice in Multiple Criteria Decision Making, Y.Y.Haimes and R.E.Steuer (eds.), Springer. 208-217 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] H.Nakayama and K.Yoshii: "Active Forgetting in Machine Learning and its Application to Financial Problems"Proc. International Joint Symposium on Neural Networks. (CD ROM). (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 中山弘隆,荒川雅生,佐々木理恵: "RBFネットワークと遺伝アルゴリズムによる未知目的関数の最適化"システム制御情報学会論文誌. 13. 152-154 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 尹禮分,中山弘隆,谷野哲三,荒川雅生: "一般化包絡分析法と遺伝アルゴリズムによる多目的最適化の一手法"システム制御情報学会論文誌. 13. 179-185 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Nakayama,Y.B.Yun and T.Tanino: "Generalized Data Envelopment Analysis and its Application"New Frontiers of Decision Making for Information Technology Era,Y.Shi and M.Zeleny (eds.), World Scientific. 227-248 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Nakayama and K.Yoshii: "Active Forgetting in Machine Learning and its Application to Financial Problems"Proc International Joint Symposium on Neural Networks. (in CD ROM). (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 尹禮分,中山弘隆,谷野哲三: "一般化包絡分析法への双対アプローチ"計測自動制御学会論文集. 36. 804-809 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Nakayama: "Tools Supporting Choice"Model-based Decision Support Methodology with Environmental Applications, A.P.Wierzbicki, M.Makowski and J.Wessels (eds.), Kluwer Academic Publishers. 249-282 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] H.Nakayama: "Growing Learning Machines and their Applications to Portfolio Problems"Proc.of the International ICSC Congress on Computational Intelligence Methods and Applications(CIMA'99). 680-683 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakayama: "An Optimization Technique Decreasing the Number of Analysis in Engineering Design"Proc.of the First China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems. 509-515 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 尹禮分: "包絡分析法(DEA)モデルの一般化"計測自動制御学会論文集. 35. 1113-1118 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakayama: "Rule Extraction based on Rough Set Theory and its Application to Medical Data Analysis"Proc.of IEEE International Conference on Systems,Man and Cybernetics. V-924-V-929 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.B.Yun: "A Multi-objective Optimization Method combining Generalized Data Envelopment Analysis and Genetic Algorithms"Proc.of IEEE International Conference on Systems,Man and Cybernetics. I-671-I-676 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] H.Nakayama and N.Kagaku: "Pattern Classification by Linear Goal Programming and its Extensions" J.of Global Optimization. 12. 111-126 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Nakayama et al.: "Additional Learning and Forgetting by RBF Networks and its Application to Design of Support Structures in Tunnel Construction" Proc.Int'l ICSC/IFAC Symposium on Neural Computation(NC'98). 544-550 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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