• Title/Summary/Keyword: Maximin Distance Experiment Design

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Design of Experiment for kriging (크리깅의 실험계획법)

  • Jung, Jae-Joon;Lee, Chang-Seob;Lee, Tae-Hee
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1846-1851
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    • 2003
  • Approximate optimization has become popular in engineering field such as MDO and Crash analysis which is time consuming. To accomplish efficient approximate optimization, accuracy of approximate model is very important. As surrogate model, Kriging have been widely used approximating highly nonlinear system . Because Kriging employs interpolation method, it is adequate for deterministic computer simulation. Because there are no random errors and measurement errors in deterministic computer simulation, instead of classical DOE ,space filling experiment design which fills uniformly design space should be applied. In this work, various space filling designs such as maximin distance design, maximum entropy design are reviewed. And new design improving maximum entropy design is suggested and compared.

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Weight Function-based Sequential Maximin Distance Design to Enhance Accuracy and Robustness of Surrogate Model (대체모델의 정확성 및 강건성 향상을 위한 가중함수 기반 순차 최소거리최대화계획)

  • Jang, Junyong;Cho, Su-Gil;Lee, Tae Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.4
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    • pp.369-374
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    • 2015
  • In order to efficiently optimize the problem involving complex computer codes or computationally expensive simulation, surrogate models are widely used. Because their accuracy significantly depends on sample points, many experimental designs have been proposed. One approach is the sequential design of experiments that consider existing information of responses. In earlier research, the correlation coefficients of the kriging surrogate model are introduced as weight parameters to define the scaled distance between sample points. However, if existing information is incorrect or lacking, new sample points can be misleading. Thus, our goal in this paper is to propose a weight function derived from correlation coefficients to generate new points robustly. To verify the performance of the proposed method, several existing sequential design methods are compared for use as mathematical examples.