计算机工程与应用 ›› 2008, Vol. 44 ›› Issue (18): 64-65.

• 理论研究 • 上一篇    下一篇

一个支持向量机的新光滑函数及其性能分析

黄仁泰,熊金志   

  1. 东莞理工学院 软件学院,广东 东莞 523808
  • 收稿日期:2008-02-29 修回日期:2008-05-05 出版日期:2008-06-21 发布日期:2008-06-21
  • 通讯作者: 黄仁泰

New smoothing function and its properties for Support Vector Machines

HUANG Ren-tai,XIONG Jin-zhi   

  1. Software College,Dongguan University of Technology,Dongguan,Guangdong 523808,China
  • Received:2008-02-29 Revised:2008-05-05 Online:2008-06-21 Published:2008-06-21
  • Contact: HUANG Ren-tai

摘要: 光滑函数在支持向量机中起着重要的作用,因此寻找新的光滑函数是研究支持向量机的关键。用求导方法分析了光滑函数的光滑性能,推导并证明了一个六阶光滑函数;同时还用二分法对其逼近性能进行了分析,结果表明:该光滑函数具有比一至五阶光滑函数更高/好的逼近性能,这就为进一步研究支持向量机提供了一个新的光滑函数。

Abstract: Smoothing functions play an important role in Support Vector Machines(SVM),and to find out a good smoothing function is the key to research SVM.The paper derives and proves the performance of a 6th-order smoothing function using the differentiation method,and analyzes its approaching performance using dichotomy.The results show that the approximation accuracy of this 6th-order smoothing functions is better than that of the previously used smoothing functions.So it also provides a new smoothing function for further studying of SVM.