The new interpretation of support vector machines on statistical learning theory
文献类型:期刊论文
作者 | Zhang ChunHua2; Tian YingJie3; Deng NaiYang1 |
刊名 | Science china-mathematics
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出版日期 | 2010 |
卷号 | 53期号:1页码:151-164 |
关键词 | C-support vector classification The minimization principle of the structural risk Kkt conditions |
ISSN号 | 1674-7283 |
DOI | 10.1007/s11425-010-0018-6 |
通讯作者 | Deng naiyang(dengnaiyang@vip.163.com) |
英文摘要 | This paper is concerned with the theoretical foundation of support vector machines (svms). the purpose is to develop further an exact relationship between svms and the statistical learning theory (slt). as a representative, the standard c-support vector classification (c-svc) is considered here. more precisely, we show that the decision function obtained by c-svc is just one of the decision functions obtained by solving the optimization problem derived directly from the structural risk minimization principle. in addition, an interesting meaning of the parameter c in c-svc is given by showing that c corresponds to the size of the decision function candidate set in the structural risk minimization principle. |
WOS关键词 | CLASSIFICATION ; CONSISTENCY |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000276546200013 |
出版者 | SCIENCE CHINA PRESS |
URI标识 | http://www.irgrid.ac.cn/handle/1471x/2411799 |
专题 | 中国科学院大学 |
通讯作者 | Deng NaiYang |
作者单位 | 1.China Agr Univ, Coll Sci, Beijing 100083, Peoples R China 2.Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China 3.Chinese Acad Sci, Res Ctr Fictitious Econ & Data Sci, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang ChunHua,Tian YingJie,Deng NaiYang. The new interpretation of support vector machines on statistical learning theory[J]. Science china-mathematics,2010,53(1):151-164. |
APA | Zhang ChunHua,Tian YingJie,&Deng NaiYang.(2010).The new interpretation of support vector machines on statistical learning theory.Science china-mathematics,53(1),151-164. |
MLA | Zhang ChunHua,et al."The new interpretation of support vector machines on statistical learning theory".Science china-mathematics 53.1(2010):151-164. |
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来源:中国科学院大学
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