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• W2137233422 endingPage "854" @default.
• W2137233422 startingPage "817" @default.
• W2137233422 abstract "We determine the asymptotic behaviour of the function computed by support vector machines (SVM) and related algorithms that minimize a regularized empirical convex loss function in the reproducing kernel Hilbert space of the Gaussian RBF kernel, in the situation where the number of examples tends to infinity, the bandwidth of the Gaussian kernel tends to 0, and the regularization parameter is held fixed. Non-asymptotic convergence bounds to this limit in the L2 sense are provided, together with upper bounds on the classification error that is shown to converge to the Bayes risk, therefore proving the Bayes-consistency of a variety of methods although the regularization term does not vanish. These results are particularly relevant to the one-class SVM, for which the regularization can not vanish by construction, and which is shown for the first time to be a consistent density level set estimator." @default.
• W2137233422 created "2016-06-24" @default.
• W2137233422 creator A5064770739 @default.
• W2137233422 creator A5068519552 @default.
• W2137233422 date "2006-12-01" @default.
• W2137233422 modified "2023-09-26" @default.
• W2137233422 title "Consistency and Convergence Rates of One-Class SVMs and Related Algorithms" @default.
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• W2137233422 hasPublicationYear "2006" @default.
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