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Candidate Points and Representative Cross-Validation Approach for Sequential Sampling

후보점과 대표점 교차검증에 의한 순차적 실험계획

  • 김승원 (한양대학교 대학원 기계설계학과) ;
  • 정재준 (한양대학교 대학원 기계설계학과) ;
  • 이태희 (한양대학교 기계공학부)
  • Published : 2007.01.01

Abstract

Recently simulation model becomes an essential tool for analysis and design of a system but it is often expensive and time consuming as it becomes complicate to achieve reliable results. Therefore, high-fidelity simulation model needs to be replaced by an approximate model, the so-called metamodel. Metamodeling techniques include 3 components of sampling, metamodel and validation. Cross-validation approach has been proposed to provide sequnatially new sample point based on cross-validation error but it is very expensive because cross-validation must be evaluated at each stage. To enhance the cross-validation of metamodel, sequential sampling method using candidate points and representative cross-validation is proposed in this paper. The candidate and representative cross-validation approach of sequential sampling is illustrated for two-dimensional domain. To verify the performance of the suggested sampling technique, we compare the accuracy of the metamodels for various mathematical functions with that obtained by conventional sequential sampling strategies such as maximum distance, mean squared error, and maximum entropy sequential samplings. Through this research we team that the proposed approach is computationally inexpensive and provides good prediction performance.

Keywords

Candidate Point;Cross-Validation Approach;Kriging Model;Representative Cross-Validation Approach

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Cited by

  1. A Sequential Optimization Algorithm Using Metamodel-Based Multilevel Analysis vol.33, pp.9, 2009, https://doi.org/10.3795/KSME-A.2009.33.9.892
  2. Structural optimization for a jaw using iterative Kriging metamodels vol.22, pp.9, 2008, https://doi.org/10.1007/s12206-008-0704-2