Estimation of the misclassification error for multicategory support vector machine classification |
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Authors: | Bing Zheng Li |
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Institution: | (1) Department of Mathematics, Zhejiang University, Hangzhou, 310028, P. R. China |
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Abstract: | The purpose of this paper is to provide an error analysis for the multicategory support vector machine (MSVM) classificaton
problems. We establish the uniform convergency approach for MSVMs and estimate the misclassification error. The main difficulty
we overcome here is to bound the offset vector. As a result, we confirm that the MSVM classification algorithm with polynomial
kernels is always efficient when the degree of the kernel polynomial is large enough. Finally the rate of convergence and
examples are given to demonstrate the main results.
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Keywords: | multicategory support vector machine classifier misclassification error reproducing kernel Hilbert space approximation error |
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