ボロノイ図による累積関数近似と適応的大域最適化(機械力学,計測,自動制御) Voronoi Diagram based Cumulative Function Approximation and Adaptive Global Optimization

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This paper proposes a cumulative function approximation based on Voronoi diagram, a technique of computational geometry, and an adaptive global optimization by using the approximation. The proposed approximation method represents a global function by blending local quadratic polynomials approximating the subspaces around respective sample points based on the geometric structure that is manipulated by Voronoi diagram. It can be used as an adaptive medium between system analysis and optimization computation under its superposability. That is, an adaptive global optimization scheme is configured by the iteration of estabilishing approximation with initial samples, executing optimization over approximation, adaptively arranging new samples and refining approximation. It can gradually update the fidelity of approximation in a process of optimization and find the global optimum with less times of system analysis. The validity and effectiveness of the proposed scheme is ascertained through numerical examples.

収録刊行物

  • 日本機械学會論文集. C編  

    日本機械学會論文集. C編 72(718), 1759-1768, 2006-06-25 

    一般社団法人日本機械学会

参考文献:  9件

各種コード

  • NII論文ID(NAID)
    110004740264
  • NII書誌ID(NCID)
    AN00187463
  • 本文言語コード
    JPN
  • 資料種別
    ART
  • ISSN
    03875024
  • NDL 記事登録ID
    8010238
  • NDL 雑誌分類
    ZN11(科学技術--機械工学・工業)
  • NDL 請求記号
    Z16-1056
  • データ提供元
    CJP書誌  NDL 
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