kernel parameter optimization for kriging based on structural risk minimization principle

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ID: 175118
2017
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Abstract
An improved kernel parameter optimization method based on Structural Risk Minimization (SRM) principle is proposed to enhance the generalization ability of traditional Kriging surrogate model. This article first analyses the importance of the generalization ability as an assessment criteria of surrogate model from the perspective of statistics and proves the applicability to Kriging. Kernel parameter optimization method is used to improve the fitting precision of Kriging model. With the smoothness measure of the generalization ability and the anisotropy kernel function, the modified Kriging surrogate model and its analysis process are established. Several benchmarks are tested to verify the effectiveness of the modified method under two different sampling states: uniform distribution and nonuniform distribution. The results show that the proposed Kriging has better generalization ability and adaptability, especially for nonuniform distribution sampling.
Reference Key
su2017mathematicalkernel Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Hua Su, Chunlin Gong, Liangxian Gu
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Journal journal of power sources
Year 2017
DOI
10.1155/2017/3021950
URL
http://dx.doi.org/10.1155/2017/3021950
Keywords
civil engineering (general)mathematics engineering (general)

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