NDLI: The geometric relationship between Core Vector Machine and Support Vector Machine

Content Provider	IEEE Xplore Digital Library
Author	Liang Chang
Copyright Year	2008
Description	Author affiliation: Inst. of Autom., Chinese Acad. of Sci., Beijing (Liang Chang)
Abstract	Core vector machine (CVM) is an efficient kernel method for large data classification. It has prominent advantages in dealing with large data sets in high-dimensional space. This paper presents a novel geometric framework between CVM and the traditional support vector machine (SVM). We proved theoretically that: (1) In one-class classification, non-training examples on the surface of the exact minimum enclosing ball (MEB) in CVM belong to the optimal separating hyperplane in SVM; (2) In one-class classification, training examples on the surface of the exact MEB in CVM correspond to the support vectors in SVM; (3) In two-class classification, non-training examples on the surface of the exact MEB in CVM belong to the bounding hyperplanes in SVM; (4) In two-class classification, training examples on the surface of the exact MEB in CVM correspond to the support vectors in SVM. Geometric interpretations for points on the (1 + epsiv)-approximate MEB in CVM are presented as well. It is believed that the obtained geometric relationship will be helpful in analyzing CVM and inspiring new classification algorithms.
Starting Page	4439
Ending Page	4443
File Size	141557
Page Count	5
File Format	PDF
ISBN	9781424421138
DOI	10.1109/WCICA.2008.4593638
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-25
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Support vector machines Kernel Training Classification algorithms Equations Support vector machine classification Transforms
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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