计算机工程与应用2012，Vol.48Issue(36)：50-53,79,5.DOI:10.3778/j.issn.1002-8331.1109-0395
一类新的基于拉盖尔正交多项式的核函数
New set of kernel functions based on Laguerre orthogonal polynomial
摘要
Abstract
This paper introduces generalized Laguerre polynomial based on Laguerre orthogonal polynomial, and derives a new set of kernel function-Laguerre kernel function from generalized Laguerre polynomial. The performance and robustness of the presented kernel are investigated on bi-spiral benchmark data set as well as five data sets from the UCI benchmark repository. The experiment results demonstrate that the presented kernel has better robustness and generalization performance compared with commonly used kernel functions (polynomial kernel and Radial Basis Function etc.). Moreover, the Laguerre kernel has one parameter which only chooses from natural number, thus parameter optimization is facilitated greatly.关键词
支持向量机/核函数/模型选择Key words
Support Vector Machine(SVM)/ kenel function/ model selection分类
信息技术与安全科学引用本文复制引用
张瑞,王文剑,王嘉琦,王玉娇..一类新的基于拉盖尔正交多项式的核函数[J].计算机工程与应用,2012,48(36):50-53,79,5.基金项目
国家自然科学基金(No.60975035) （No.60975035）
教育部博士点基金(No.20091401110003) （No.20091401110003）
山东理工大学博士基金(No.4041-410002). （No.4041-410002）
