Parameter optimization in multiquadric response surface approximations

被引：1
|
作者：
B.P. Wang
机构：
[1] University of Texas at Arlington,Department of Mechanical and Aerospace Engineering
来源：
Structural and Multidisciplinary Optimization | 2004年 / 26卷
关键词：
response surface approximation; multiquadric function smooth parameter optimization ;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Multiquadric (MQ) response surface approximation uses the function ∑Ci|X-Xi|2+h1/2 to interpolate a given set of data. The performance of MQ approximation depends on the shift parameter h. Efficient methods of computing the optimal shift parameter based on the leave-one-out cross validation technique are presented in this paper. We also proved that the condition number of the MQ coefficient matrix is an increasing function of the shift parameter h. Two numerical examples are included to illustrate the proposed formulation.
引用
收藏
页码：219 / 223
页数：4
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