Estimation of the misclassification error for multicategory support vector machine classification

DOI10.1007/s10114-007-6334-0zbMath1178.68430OpenAlexW2147416254MaRDI QIDQ943493

Bing-Zheng Li

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-6334-0

zbMATH Keywords

classifiermulticategoryreproducing kernel Hilbert spacemisclassification errorapproximation errorsupport vector machine

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Approximations to statistical distributions (nonasymptotic) (62E17) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (3)

The learning rate of \(l_2\)-coefficient regularized classification with strong loss ⋮ Learning rates for least square regressions with coefficient regularization ⋮ Error analysis of multicategory support vector machine classifiers

Cites Work

• Hybrid wavelet-support vector classification of waveforms
• The covering number in learning theory
• Support vector machines are universally consistent
• On the mathematical foundations of learning
• Capacity of reproducing kernel spaces in learning theory
• The sample complexity of pattern classification with neural networks: the size of the weights is more important than the size of the network
• ESTIMATING THE APPROXIMATION ERROR IN LEARNING THEORY
• Generalization performance of regularization networks and support vector machines via entropy numbers of compact operators
• Multicategory Support Vector Machines
• Theory of Reproducing Kernels
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