Support Vector Reproducing Kernel Based on Walsh Series for Regression

Author

Che, Chang ; Hu, Dan ; Wen, Qi

Author_Institution

Sch. of Mech. Eng. & Autom., Xihua Univ., Chengdu

Volume

2

fYear

2008

fDate

18-20 Oct. 2008

Firstpage

183

Lastpage

187

Abstract

A new reproducing kernel function of least square support vector machine (SVM) based on Walsh series is presented in this paper. The reproducing kernel has been constructed in reproducing kernel Hilbert space (RKHS). Because the Hilbert space and the square integrable space are isomorphic, according to the wavelet multi-resolution analysis, Walsh consequence can be seen a set of orthogonal basis to construct the reproducing kernel. The simulation results are discussed to illustrate the proposed reproducing kernel.

Keywords

Hilbert spaces; Walsh functions; least squares approximations; regression analysis; series (mathematics); support vector machines; wavelet transforms; SVM; Walsh series; least square method; reproducing kernel Hilbert space; reproducing kernel function; square integrable space; support vector machine; wavelet multiresolution analysis; Automation; Face detection; Hardware; Hilbert space; Kernel; Mechanical engineering; Object detection; Pattern recognition; Support vector machines; Wavelet analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation, 2008. ICNC '08. Fourth International Conference on

Conference_Location

Jinan

Print_ISBN

978-0-7695-3304-9

Type

conf

DOI

10.1109/ICNC.2008.733

Filename

4666982