摘要
袁玉波等人采用一个二次多项式作为光滑函数,提出一个基于二次多项式的光滑支持向量机。然而,这种光滑支持向量机作为一种新模型,还存在如下4个尚待解决的问题:能否用其它二次多项式作为光滑函数,构建光滑支持向量机?这种光滑支持向量机有多少个?其收敛性如何?其分类效果如何?本文从二次多项式入手,分析了二次多项式作为光滑函数的问题,还分析了基于二次多项式的光滑支持向量机问题,解决了上述四个问题。
Yuan et al use a 2nd-order polynomial as a smoothing function, and propose a smooth support vector machine based on 2nd-order polynomial. As a new smooth model, there are four problems : Can other 2nd-order polynomials be used as smoothing functions to obtain other smooth support vector machines? How many are there in tiffs class of smooth model? Do these smooth models converge? Is the performance of classification improved? This paper addresses these problems by studying 2nd-order polynomials as smoothing functions and the resuhant 2nd-order polynomial smooth support vector machines. Finally, it solves the above four problems.
出处
《计算机与现代化》
2010年第5期8-11,共4页
Computer and Modernization
基金
广东省自然科学基金资助项目(9151170003000017)
广东省科技计划项目(2008B060600076)
关键词
分类
支持向量机
多项式
光滑
classification
support vector machine
polynomial
smooth