A New Smooth Support Vector Machine Based on a Rational Function

Abstract

Smooth support vector machine (SSVM) is a strong convex, smooth, and unconstrained optimization model transformed from traditional support vector machine (SVM). In this study, a new smooth function which is a rational function diffrent from those polynomial functions , is used to smoothen the model of support vector machine. A new SSVM based on this rational function (Rational-SSVM) is obtained. Furthermore, Rational-SSVM is better than those SSVMs based on polynomial functions by the precision analysis.