Robust multiclass kernel-based classifiers

Authors:
Budi Santosa;Theodore B. Trafalis
Affiliations:
Department of Industrial Engineering, Sepuluh Nopember Institute of Technology, Surabaya, Indonesia;School of Industrial Engineering, University of Oklahoma, Norman, USA
Venue:
Computational Optimization and Applications
Year:
2007

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Abstract

In this research, a robust optimization approach applied to multiclass support vector machines (SVMs) is investigated. Two new kernel based-methods are developed to address data with input uncertainty where each data point is inside a sphere of uncertainty. The models are called robust SVM and robust feasibility approach model (Robust-FA) respectively. The two models are compared in terms of robustness and generalization error. The models are compared to robust Minimax Probability Machine (MPM) in terms of generalization behavior for several data sets. It is shown that the Robust-SVM performs better than robust MPM.