Fast Rates to Bayes for Kernel Machines

Abstract

We establish learning rates to the Bayes risk for support vector machines (SVMs) with hinge loss. In particular, for SVMs with Gaussian RBF kernels we propose a geometric condition for distributions which can be used to determine approximation properties of these kernels. Finally, we compare our methods with a recent paper of G. Blanchard et al..

Cite

Text

Steinwart and Scovel. "Fast Rates to Bayes for Kernel Machines." Neural Information Processing Systems, 2004.

Markdown

[Steinwart and Scovel. "Fast Rates to Bayes for Kernel Machines." Neural Information Processing Systems, 2004.](https://mlanthology.org/neurips/2004/steinwart2004neurips-fast/)

BibTeX

@inproceedings{steinwart2004neurips-fast,
  title     = {{Fast Rates to Bayes for Kernel Machines}},
  author    = {Steinwart, Ingo and Scovel, Clint},
  booktitle = {Neural Information Processing Systems},
  year      = {2004},
  pages     = {1345-1352},
  url       = {https://mlanthology.org/neurips/2004/steinwart2004neurips-fast/}
}