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一类光滑支持向量机新函数的研究
引用本文:熊金志,胡金莲,袁华强,胡天明,李广明.一类光滑支持向量机新函数的研究[J].电子学报,2007,35(2):366-370.
作者姓名:熊金志  胡金莲  袁华强  胡天明  李广明
作者单位:东莞理工学院软件学院,广东东莞 523106
基金项目:国家自然科学基金,广东省自然科学基金,广东省科技厅科技计划
摘    要:光滑函数在支持向量机中起着重要作用,本文研究如何得到一类新的光滑函数.用插值函数的方法导出了一个重要的递推公式,得到了一类新的光滑函数,从而解决了长期困扰人们的一个问题,即如何寻求性能更好的光滑函数问题.还证明了该类函数的若干性能,其逼近精度比 Sigmoid 函数的积分函数高一个数量级,也明显高于一阶和二阶光滑多项式,为支持向量机提供了一类新的光滑函数.

关 键 词:分类  支持向量机  数据挖掘  插值  光滑  
文章编号:0372-2112(2007)02-0366-05
收稿时间:2006-02-07
修稿时间:2006-02-072006-10-15

Research on a New Class of Functions for Smoothing Support Vector Machines
XIONG Jin-zhi,HU Jin-lian,YUAN Hua-qiang,HU Tian-ming,LI Guang-ming.Research on a New Class of Functions for Smoothing Support Vector Machines[J].Acta Electronica Sinica,2007,35(2):366-370.
Authors:XIONG Jin-zhi  HU Jin-lian  YUAN Hua-qiang  HU Tian-ming  LI Guang-ming
Affiliation:Software College,Dongguan University of Technology.Dongguan,Guangdong 523106,China
Abstract:Smoothing functions play an important role in Support Vector Machine(SVM).This paper derived an important recursive formula and a new class of smoothing functions using the technique of interpolation functions.Thus the problem of seeking better smoothing functions was solved,which has been a major obstacle in this field for a long time.Several of its important properties were discussed.It was shown that the approximation accuracy of interpolation functions is better than the integral of the sigmoid function by an order of magnitude.It is also obviously higher than those of the first /second-order smooth polynomial functions.Therefore,the proposed class of interpolation functions is a competitive candidate for smoothing SVM.
Keywords:classification  support vector machine  data mining  interpolation  smoothing
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