A new smooth support vector machine

  • Authors:
  • Jinjin Liang;De Wu

  • Affiliations:
  • Department of Mathematical Sciences, Xi'an Shiyou Universtiy, Shaanxi Xi'an, China;Department of Computer Sciences, Xidian Universtiy, Shaanxi Xi'an, China

  • Venue:
  • AICI'10 Proceedings of the 2010 international conference on Artificial intelligence and computational intelligence: Part I
  • Year:
  • 2010

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Abstract

A new Smooth Support Vector Machine (SSVM) is proposed and is called NSSVM for short. Different from traditional SSVM that treats perturbation formulation of SVM, NSSVM treats standard 2-norm error soft margin SVM. Different from traditional SSVM that uses the 2-norm of the Lagrangian multipliers vector to roughly substitute that of the weight of the separating hyperplane, which makes the obtained smooth model unequal to the primal program; NSSVM takes into account the connotative relation between the primal and dual program to transform the original program to a new smooth one. Numerical experiments on several UCI datasets demonstrate that NSSVM has higher precisions than existing methods.