A new model of multi-class support vector machine with parameter υ

  • Authors:
  • Xin Xue;Taian Liu

  • Affiliations:
  • Department of Mathematics & System Science, Taishan University, Tai'an, China;Department of Information and Engineering, Shandong University of Science and Technology, Tai'an, China

  • Venue:
  • FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 1
  • Year:
  • 2009

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Abstract

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 eTα≥v is replaced with eTα = v. Numerical testing results show that the speed of v-MC-SVM algorithm is faster than that of QPMC-SVM algorithm under the same accuracy rate.