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
相关论文
共 50 条
  • [1] RBF kernel based support vector machine with universal approximation and its application
    Wang, JP
    Chen, QS
    Chen, Y
    ADVANCES IN NEURAL NETWORKS - ISNN 2004, PT 1, 2004, 3173 : 512 - 517
  • [2] Multiscale wavelet support vector machine for image approximation
    Cheng, Hui
    Lu, Chi
    Han, Hai
    Tian, Jin-Wen
    2007 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION, VOLS 1-4, PROCEEDINGS, 2007, : 1413 - +
  • [3] Wavelet support vector machine
    Zhang, L
    Zhou, WD
    Jiao, LC
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2004, 34 (01): : 34 - 39
  • [4] Improved Support Vector Machine and its application
    Huang, Zhiwei
    Zhou, Jianzhong
    Song, Lixiang
    Wang, Yongqiang
    INFORMATION TECHNOLOGY FOR MANUFACTURING SYSTEMS, PTS 1 AND 2, 2010, : 147 - 153
  • [5] Over-complete wavelet approximation of a support vector machine for efficient classification
    Rätsch, M
    Romdhani, S
    Teschke, G
    Vetter, T
    PATTERN RECOGNITION, PROCEEDINGS, 2005, 3663 : 351 - 360
  • [6] Trust Evaluation of CoPS Partners Based on Wavelet Support Vector Machine Model and Its Application
    Hu Long-ying
    Wang Zhi-sheng
    Li Hui-ying
    Zhang Xiang-rong
    2010 INTERNATIONAL CONFERENCE ON MANAGEMENT SCIENCE AND ENGINEERING (ICMSE), 2010, : 1456 - 1463
  • [7] Support vector machine for the simultaneous approximation of a function and its derivative
    Lázaro, M
    Santamaría, I
    Perez-Cruz, F
    Artés-Rodríguez, A
    2003 IEEE XIII WORKSHOP ON NEURAL NETWORKS FOR SIGNAL PROCESSING - NNSP'03, 2003, : 189 - 198
  • [8] Wavelet twin support vector machine
    Ding, Shifei
    Wu, Fulin
    Shi, Zhongzhi
    NEURAL COMPUTING & APPLICATIONS, 2014, 25 (06): : 1241 - 1247
  • [9] Wavelet twin support vector machine
    Shifei Ding
    Fulin Wu
    Zhongzhi Shi
    Neural Computing and Applications, 2014, 25 : 1241 - 1247
  • [10] Application of Wavelet Packet and Support Vector Machine to Leak Detection in Pipeline
    Liu Na
    Zhao Yanyan
    2008 ISECS INTERNATIONAL COLLOQUIUM ON COMPUTING, COMMUNICATION, CONTROL, AND MANAGEMENT, VOL 1, PROCEEDINGS, 2008, : 66 - +
12345