Title :
Least Squares Support Vector Machine on Moret Wavelet kernel Function
Author :
Wu, Fangfang ; Zhao, Yinliang
Author_Institution :
Inst. of Neocomputer, Xi´´an Jiaotong Univ.
Abstract :
Based on the wavelet decomposition and conditions of the support vector kernel function, Morlet wavelet kernel function for support vector machine (SVM) is proposed, which is a kind of approximately orthonormal function. This kernel function can simulate almost any curve in quadratic continuous integral space, thus it enhances the generalization ability of the SVM. According to the wavelet kernel function and the regularization theory, least squares support vector machine on Morlet wavelet kernel function (LS-MWSVM) is proposed to simplify the process of MWSVM. The LS-MWSVM is then applied to the regression analysis or this kind of function has already existed, and it is the precision is improved by LS-MWSVM, compared with LS-SVM whose kernel function is Gauss function under the same conditions
Keywords :
least mean squares methods; pattern classification; support vector machines; wavelet transforms; Gauss function; Morlet wavelet kernel function; approximately orthonormal function; least squares support vector machine; regression analysis; wavelet decomposition; Face recognition; Gaussian processes; Handwriting recognition; Image recognition; Kernel; Least squares approximation; Least squares methods; Regression analysis; Support vector machine classification; Support vector machines;
Conference_Titel :
Neural Networks and Brain, 2005. ICNN&B '05. International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-9422-4
DOI :
10.1109/ICNNB.2005.1614625