On the influence of the kernel on the consistency of support vector machines
The Journal of Machine Learning Research
The Journal of Machine Learning Research
Consistency of support vector machines and other regularized kernel classifiers
IEEE Transactions on Information Theory
Non-asymptotic calibration and resolution
Theoretical Computer Science
Leading strategies in competitive on-line prediction
Theoretical Computer Science
The Journal of Machine Learning Research
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Many learning algorithms approximately minimize a risk functional over a predefined function class. In order to establish consistency for such algorithms it is therefore necessary to know whether this function class approximates the Bayes risk. In this work we present necessary and sufficient conditions for the latter. We then apply these results to reproducing kernel Hilbert spaces used in support vector machines (SVMs). Finally, we briefly discuss universal consistency of SVMs for non-compact input domains.