Wavelet Support Vector Machine with universal approximation and its application

被引：0
|
作者：
Chen, Wenhui [1 ]
Cui, Wanzhao [2 ]
Zhu, Changchun [3 ]
机构：
[1] Northwestern Polytech Univ, Sch Elect & Informat, Xian 710072, Peoples R China
[2] Natl Key Lab Space Microwave Technol, Xian Inst Space Radio Technol, Xian 710000, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Elect & Informat Engn, Xian 10049, Peoples R China
来源：
PROCEEDINGS OF 2006 IEEE INFORMATION THEORY WORKSHOP | 2006年
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Wavelet Support Vector Machines (WSVM) using the Mexican Hat wavelet kernel has been used to nonlinear system identification successfully, but its universal approximation property has never been proved in theory. Based on Stone-Weierstrass Theorem, the universal approximation property of the WSVM to arbitrary functions on a compact set is proved with arbitrary accuracy. These simulations show the WSVM is very effective in nonlinear system identification, and can deduce noise of the system, so WSVM has great potential applications in the function estimation, nonlinear system identification, signal processing and control.
引用
收藏
页码：360 / +
页数：2
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