Support vector machines with weighted regularization

Authors:
Tatsuya Yokota;Yukihiko Yamashita
Affiliations:
Tokyo Institute of Technology, Meguro-ku, Tokyo, Japan;Tokyo Institute of Technology, Meguro-ku, Tokyo, Japan
Venue:
ICONIP'11 Proceedings of the 18th international conference on Neural Information Processing - Volume Part II
Year:
2011

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Abstract

In this paper, we propose a novel regularization criterion for robust classifiers. The criterion can produce many types of regularization terms by selecting an appropriate weighting function. L2 regularization terms, which are used for support vector machines (SVMs), can be produced with this criterion when the norm of patterns is normalized. In this regard, we propose two novel regularization terms based on the new criterion for a variety of applications. Furthermore, we propose new classifiers by applying these regularization terms to conventional SVMs. Finally, we conduct an experiment to demonstrate the advantages of these novel classifiers.