A novel classification method based on hypersurface

doi:10.1016/S0895-7177(03)00229-2

	A novel classification method based on hypersurface
	He, Q ; Shi, ZZ ; Ren, LA ; Lee, ES
	2003-08-01
发表期刊	MATHEMATICAL AND COMPUTER MODELLING
ISSN	0895-7177
卷号	38 期号:3-4 页码:395-407
摘要	The main idea of the support vector machine (SVM) classification approach is mapping the data into higher-dimensional linear space where the data can be separated by hyperplane. Based on the Jordan curve theory, a general nonlinear classification method by the use of hypersurface is proposed in this paper. The separating hypersurface is directly used to classify the data according to whether the number of intersections with the radial is odd or even. In contrast to the SVM approach, the proposed approach has no need for mapping from lower-dimensional space to higher-dimensional space. Furthermore, the approach does not use kernel functions and it can directly solve the nonlinear classification problem via the hypersurface. Numerical experiments showed that the proposed approach can efficiently and accurately solve the classification problems with a large amount of data. (C) 2003 Elsevier Ltd. All rights reserved.
关键词	support vector machine hypersurface Jordan curve theory statistical learning theory VC dimension
DOI	10.1016/S0895-7177(03)00229-2
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Interdisciplinary Applications ; Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000185443800015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计	被引频次：18[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://119.78.100.204/handle/2XEOYT63/13665
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Lee, ES
作者单位	1.Chinese Acad Sci, Comp Technol Inst, Key Lab Intelligent Informat Proc, Beijing 100080, Peoples R China 2.Univ Sci & Technol China, Grad Coll, Beijing 100039, Peoples R China 3.Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA
推荐引用方式 GB/T 7714	He, Q,Shi, ZZ,Ren, LA,et al. A novel classification method based on hypersurface[J]. MATHEMATICAL AND COMPUTER MODELLING,2003,38(3-4):395-407.
APA	He, Q,Shi, ZZ,Ren, LA,&Lee, ES.(2003).A novel classification method based on hypersurface.MATHEMATICAL AND COMPUTER MODELLING,38(3-4),395-407.
MLA	He, Q,et al."A novel classification method based on hypersurface".MATHEMATICAL AND COMPUTER MODELLING 38.3-4(2003):395-407.