Title :
Multiclass Least Squares Wavelet Support Vector Machines
Author :
Xing, Yongzhong ; Wu, Xiaobei ; Xu, Zhiliang
Author_Institution :
Nanjing Univ. of Sci. & Technol., Nanjing
Abstract :
A novel admissible support vector (SV) kernel, namely modified L-P wavelet kernel, is proposed based on theoretic analysis. The wavelet kernel can approximate arbitrary curve in quadratic continuous integral space, thus the generalization ability of the support vector machines (SVM) is improved. Based on the wavelet kernel function and the multiclass least squares support vector machines (MLS-SVM), the multiclass least squares wavelet support vector machines (MLS-MLPWSVM) is presented. The spiral multiclass classification experimental results show some advantages of MLS-MLPWSVM over MLS-SVM on the classification and the generalization performance.
Keywords :
approximation theory; least mean squares methods; support vector machines; wavelet transforms; admissible support vector kernel; multiclass least squares wavelet support vector machines; quadratic continuous integral space; Continuous wavelet transforms; Eigenvalues and eigenfunctions; Kernel; Lagrangian functions; Least squares methods; Pattern recognition; Spirals; Support vector machine classification; Support vector machines; Wavelet analysis;
Conference_Titel :
Networking, Sensing and Control, 2008. ICNSC 2008. IEEE International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-1685-1
Electronic_ISBN :
978-1-4244-1686-8
DOI :
10.1109/ICNSC.2008.4525268