Regularized Jacobi Wavelets Kernel for Support Vector Machines

  • Abbassa Nadira University of Abdelhamid Ibn Badis Mostaganem
  • Amir Abdessamad University of Abdelhamid Ibn Badis Mostaganem
  • Bahri Sidi Mohamed University of Abdelhamid Ibn Badis Mostaganem
Keywords: SVM, Jacobi polynomials, Jacobi wavelets, Kernel, Reproducing Kernel Hilbert Space, Frame.


A new family of regularized Jacobi wavelets is constructed. Based on this Jacobi wavelets, a new kernel for support vector machines is presented. Using kernel and frame theory, the Reproducing Kernel Hilbert Space of this kernel is identified. We show that without being a universal kernel, the proposed one possesses a good separation property and a big ability to extract more discriminative features. These theoretical results are confirmed and supported by numerical experiments.

Author Biographies

Abbassa Nadira, University of Abdelhamid Ibn Badis Mostaganem
PhD student at the University of Mostaganem since 2015
Amir Abdessamad, University of Abdelhamid Ibn Badis Mostaganem
professor at the University of Mostaganem
Bahri Sidi Mohamed, University of Abdelhamid Ibn Badis Mostaganem
professor at the University of Mostaganem


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How to Cite
Nadira, A., Abdessamad, A., & Sidi Mohamed, B. (2019). Regularized Jacobi Wavelets Kernel for Support Vector Machines. Statistics, Optimization & Information Computing, 7(4), 669-685.
Research Articles