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Information Sciences
Volume 178, Issue 9, 1 May 2008, Pages 2204-2214
 
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doi:10.1016/j.ins.2007.12.012    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Inc. All rights reserved.

A rough margin based support vector machine

Junhua Zhanga, b, E-mail The Corresponding Author and Yuanyuan Wanga, Corresponding Author Contact Information, E-mail The Corresponding Author

aElectronic Engineering Department, Fudan University, Shanghai 200433, China bElectronic Engineering Department, Yunnan University, Kunming 650091, China

Received 19 April 2007; 
revised 17 December 2007; 
accepted 23 December 2007. 
Available online 2 January 2008.

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Abstract

By introducing the rough set theory into the support vector machine (SVM), a rough margin based SVM (RMSVM) is proposed to deal with the overfitting problem due to outliers. Similar to the classical SVM, the RMSVM searches for the separating hyper-plane that maximizes the rough margin, defined by the lower and upper margin. In this way, more data points are adaptively considered rather than the few extreme value points used in the classical SVM. In addition, different support vectors may have different effects on the learning of the separating hyper-plane depending on their positions in the rough margin. Points in the lower margin have more effects than those in the boundary of the rough margin. From experimental results on six benchmark datasets, the classification accuracy of this algorithm is improved without additional computational expense compared with the classical ν-SVM.

Keywords: Classification; Support vector machine (SVM); Rough set; Rough margin; Generalization performance

Article Outline

1. Introduction
2. Background
2.1. ν-SVM
2.2. Rough set
3. Rough margin based support vector machine (RMSVM)
4. Results and discussion
5. Conclusions
Acknowledgements
Appendix. Selected parameters
References





Information Sciences
Volume 178, Issue 9, 1 May 2008, Pages 2204-2214
 
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