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基于支持向量机替代模型的可靠性分析
引用本文:李刚,刘志强.基于支持向量机替代模型的可靠性分析[J].计算力学学报,2011,28(5):676-681.
作者姓名:李刚  刘志强
作者单位:大连理工大学 工程力学系 工业装备结果分析国家重点实验室,大连 116023;大连理工大学 工程力学系 工业装备结果分析国家重点实验室,大连 116023
基金项目:国家973计划课题(2006CB705403);国家自然科学基金(90815023,10721062)资助项目.
摘    要:建立了基于支持向量机回归算法和分类算法的替代模型可靠性分析方法,与蒙特卡罗法结合,采用拉丁超立方抽样技术,进行隐式极限状态函数的可靠度计算。讨论了相关参数对支持向量机模型性能的影响,并通过遗传算法进行参数优化,为支持向量机模型的参数选择提供了依据。研究了不同训练样本数量对支持向量机模型预测值精度的影响,进一步证实了支持...

关 键 词:可靠性  支持向量机  回归算法  分类算法  遗传算法
收稿时间:2009/11/17 0:00:00
修稿时间:2010/4/26 0:00:00

Surrogate-based reliability analysis by support vector machine
LI Gang and LIU Zhi-qiang.Surrogate-based reliability analysis by support vector machine[J].Chinese Journal of Computational Mechanics,2011,28(5):676-681.
Authors:LI Gang and LIU Zhi-qiang
Institution:Department of Engineering Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology. Dalian 116024, China;Department of Engineering Mechanics, State Key Laboratory for Structural Analysis of Industrial Equipment,Dalian University of Technology. Dalian 116024, China
Abstract:This paper establishes the surrogate-based reliability analysis method for the implicit performance functions using the support vector regression algorithm and classification algorithm, in which Monte Carlo simulation method is integrated with the Latin hypercube sampling technique. The effects of the related parameters on the SVM performance are discussed and the genetic algorithm is used to optimize the parameters to provide a rational selection of SVM model. The efficiency of the SVM model with different sampling size is discussed, which testifies the good performance of SVM model with small sampling size. Finally, the numerical examples indicate the feasibility and efficiency of the proposed method.
Keywords:reliability  support vector machine  regression algorithm  classification algorithm  genetic algorithm
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