Regularized Jacobi Wavelets Kernel for Support Vector Machines
Abbassa Nadira, Abdessamad Amir, Bahri Sidi Mohamed · Statistics Optimization & Information Computing · 2019
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.