A novel classification method based on hypersurface
文献类型：期刊论文
| 作者 | He, Q; Shi, ZZ; Ren, LA; Lee, ES |
| 刊名 | MATHEMATICAL AND COMPUTER MODELLING
 |
| 出版日期 | 2003-08-01 |
| 卷号 | 38期号:3-4页码:395-407 |
| 关键词 | support vector machine hypersurface Jordan curve theory statistical learning theory VC dimension |
| ISSN号 | 0895-7177 |
| DOI | 10.1016/S0895-7177(03)00229-2 |
| 英文摘要 | 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. |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185443800015 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/13664]  |
| 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.Kansas State Univ, Dept Ind & Mfg Syst Engn, Manhattan, KS 66506 USA 3.Univ Sci & Technol China, Grad Coll, Beijing 100039, Peoples R China |
| 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. |
入库方式： OAI收割
来源：计算技术研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。