ScholarLens Back to search
2008•Unpublished venueRequires access

Support Vector Reproducing Kernel Based on Walsh Series for Regression

Chang Che, Dan Hu, Qi Wen

Open publisher page 0 citations

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.

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Reproducing kernel Hilbert space, Kernel (algebra), Representer theorem, Radial basis function kernel, Kernel embedding of distributions, Polynomial kernel, Square-integrable function, Kernel method

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Support Vector Reproducing Kernel Based on Walsh Series for Regression — Research Paper | ScholarLens