典型文献
Design of semi-tensor product-based kernel function for SVM nonlinear classification
文献摘要：
The kernel function method in support vector machine(SVM)is an excellent tool for nonlinear classification.How to design a kernel function is difficult for an SVM nonlinear classification problem,even for the polynomial kernel function.In this paper,we propose a new kind of polynomial kernel functions,called semi-tensor product kernel(STP-kernel),for an SVM nonlinear classification problem by semi-tensor product of matrix(STP)theory.We have shown the existence of the STP-kernel function and verified that it is just a polynomial kernel.In addition,we have shown the existence of the reproducing kernel Hilbert space(RKHS)associated with the STP-kernel function.Compared to the existing methods,it is much easier to construct the nonlinear feature mapping for an SVM nonlinear classification problem via an STP operator.
文献关键词：
中图分类号：
作者姓名：
Shengli Xue;Lijun Zhang;Zeyu Zhu
作者机构：
School of Mathematics and Statistics,Yulin University,Yulin 719000,Shaanxi,China;School of Marine Science and Technology,Northwestern Polytechnical University,Xi'an 710000,Shaanxi,China
文献出处：
引用格式：
[1]Shengli Xue;Lijun Zhang;Zeyu Zhu-.Design of semi-tensor product-based kernel function for SVM nonlinear classification)[J].控制理论与技术（英文版）,2022(04):456-464
A类：
B类：
Design,semi,tensor,product,kernel,nonlinear,classification,support,vector,machine,excellent,tool,How,design,difficult,problem,even,polynomial,In,this,paper,we,propose,new,kind,functions,called,STP,by,matrix,theory,We,have,shown,existence,verified,that,just,addition,reproducing,Hilbert,space,RKHS,associated,Compared,existing,methods,much,easier,construct,feature,mapping,via,operator
AB值：
0.428475
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
