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ERROR ANALYSIS OF MULTICATEGORY SUPPORT VECTOR MACHINE CLASSIFIERS

ERROR ANALYSIS OF MULTICATEGORY SUPPORT VECTOR MACHINE CLASSIFIERS
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摘要 The paper is related to the error analysis of Multicategory Support Vector Machine (MSVM) classifiers based on reproducing kernel Hilbert spaces. We choose the polynomial kernel as Mercer kernel and give the error estimate with De La Vall6e Poussin means. We also introduce the standard estimation of sample error, and derive the explicit learning rate. The paper is related to the error analysis of Multicategory Support Vector Machine (MSVM) classifiers based on reproducing kernel Hilbert spaces. We choose the polynomial kernel as Mercer kernel and give the error estimate with De La Vall6e Poussin means. We also introduce the standard estimation of sample error, and derive the explicit learning rate.
出处 《Analysis in Theory and Applications》 2010年第2期153-173,共21页 分析理论与应用(英文刊)
基金 Supported by the National NSF(10871226) of PRC
关键词 support vector machine classification learning rate reproducing kernel Hilbert spaces De La Vall^e Poussin means support vector machine classification, learning rate, reproducing kernel Hilbert spaces, De La Vall^e Poussin means
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