A continuous wavelet kernel for support vector regression

被引:0
作者
Han, Fengqing [1 ]
Gao, Yanghua
Ma, Li
Li, Hongmei
Liao, Xiaofeng
机构
[1] Chongqing Inst Meteorolog Sci, Postdoctoral Programme, Chongqing 401147, Peoples R China
[2] Chongqing Inst Chongqing Technol, Sch Comp Sci & Engn, Chongqing 400050, Peoples R China
[3] Chongqing Univ, ISCI Lab, Chongqing 400044, Peoples R China
来源
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2006年 / 13E卷
关键词
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A new kernel function is proposed for support vector regression(SVR). An one-to-one mapping is adopted for dimensionality reduction and then continuous wavelet transform is utilized to construct the nonlinear mapping phi(x) from the input space S to the feature space. So we call it continuous wavelet kernel function(CWKF). This wavelet kernel is not translation invariant kernel, instead inner product kernel and need not parameter selecting. The quadratic program of support vector regression has feasible solution if we use CWKF. Numerical experiments demonstrate the effectiveness of this method.
引用
收藏
页码:3617 / 3620
页数:4
相关论文
共 50 条
[21]   DDoS detection based on wavelet kernel support vector machine [J].
YANG, Ming-hui ;
WANG, Ru-chuan .
Journal of China Universities of Posts and Telecommunications, 2008, 15 (03) :59-63,94
[22]   DDoS detection based on wavelet kernel support vector machine [J].
YANG Minghui WANG Ruchuan College of Computer Nanjing University of Posts and Telecommunications Nanjing China .
The Journal of China Universities of Posts and Telecommunications, 2008, (03) :59-63+94
[23]   Comparative studies of support vector regression between reproducing kernel and gaussian kernel [J].
Zhang, Wei ;
Tang, Su-Yan ;
Zhu, Yi-Fan ;
Wang, Wei-Ping .
World Academy of Science, Engineering and Technology, 2010, 41 :58-66
[24]   Comparative studies of support vector regression between reproducing kernel and Gaussian kernel [J].
Zhang, Wei ;
Tang, Su-Yan ;
Zhu, Yi-Fan ;
Wang, Wei-Ping .
World Academy of Science, Engineering and Technology, 2010, 65 :147-155
[25]   Comparative studies of support vector regression between reproducing kernel and gaussian kernel [J].
Zhang, Wei ;
Tang, Su-Yan ;
Zhu, Yi-Fan ;
Wang, Wei-Ping .
World Academy of Science, Engineering and Technology, 2010, 65 :933-941
[26]   Particle Swarm Optimization-Least Squares Support Vector Regression with Multi-Scale Wavelet Kernel [J].
Wang, Qin ;
Shen, Yuantong .
2013 SIXTH INTERNATIONAL SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DESIGN (ISCID), VOL 1, 2013, :169-172
[27]   Comparative studies of support vector regression between reproducing kernel and gaussian kernel [J].
Zhang, Wei ;
Tang, Su-Yan ;
Zhu, Yi-Fan ;
Wang, Wei-Ping .
World Academy of Science, Engineering and Technology, 2010, 41 :933-941
[28]   Comparative studies of support vector regression between reproducing kernel and Gaussian kernel [J].
Zhang, Wei ;
Tang, Su-Yan ;
Zhu, Yi-Fan ;
Wang, Wei-Ping .
World Academy of Science, Engineering and Technology, 2010, 65 :58-66
[29]   Support Vector Regression with Levy Distribution Kernel for Stock Forecasting [J].
Lai, Lucas K. C. ;
Liu, James N. K. ;
Hu, Yanxing .
PROCEEDINGS OF THE 2013 INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER SCIENCE AND ELECTRONICS INFORMATION (ICACSEI 2013), 2013, 41 :654-657
[30]   Feature Selection for Support Vector Regression via Kernel Penalization [J].
Maldonado, Sebastian ;
Weber, Richard .
2010 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS IJCNN 2010, 2010,