Neural Processing Letters

, Volume 15, Issue 1, pp 59–67 | Cite as

Conformal Transformation of Kernel Functions: A Data-Dependent Way to Improve Support Vector Machine Classifiers

  • Si Wu
  • Shun-Ichi Amari


In this paper we extend the conformal method of modifying a kernel function to improve the performance of Support Vector Machine classifiers [14, 15]. The kernel function is conformally transformed in a data-dependent way by using the information of Support Vectors obtained in primary training. We further investigate the performances of modified Gaussian Radial Basis Function and Polynomial kernels. Simulation results for two artificial data sets show that the method is very effective, especially for correcting bad kernels.

kernel function pattern recognition Riemannian geometry and conformal transformation support vector machine 


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Copyright information

© Kluwer Academic Publishers 2002

Authors and Affiliations

  • Si Wu
    • 1
  • Shun-Ichi Amari
    • 1
  1. 1.RIKEN Brain Science Institute, tHirosawa 2-1, Wako-shiSaitamaJapan
  2. 2.Department of Computer ScienceSheffield UniversityUK)

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