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A New Model of Multi-class Support Vector Machine with Parameter v

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2 Author(s)
Xin Xue ; Dept. of Math. & Syst. Sci., Taishan Univ., Tai''an, China ; Taian Liu

A new model of multi-class support vector machine with parameter v (v-MC-SVM) is proposed firstly based on v-SVM. Existence of optimal solutions and dual problem of v-MC-SVM are also given. Because the constraints of v-MC-SVM are too complicated, one-class SVM problem is given by adding bm to the objective function of v-MC-SVM and employing the Kesler's construction which simplify the original problem. The optimal solutions of one-class SVM problem are unchanged when its constraint eT ¿ ¿ v is replaced with eT¿ = v. Numerical testing results show that the speed of v-MC-SVM algorithm is faster than that of QP-MC-SVM algorithm under the same accuracy rate.

Published in:

Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on  (Volume:1 )

Date of Conference:

14-16 Aug. 2009