From Regularization Operators to Support Vector Kernels

Abstract

We derive the correspondence between regularization operators used in Regularization Networks and Hilbert Schmidt Kernels appearing in Sup(cid:173) port Vector Machines. More specifica1ly, we prove that the Green's Func(cid:173) tions associated with regularization operators are suitable Support Vector Kernels with equivalent regularization properties. As a by-product we show that a large number of Radial Basis Functions namely condition(cid:173) ally positive definite functions may be used as Support Vector kernels.

Cite

Text

Smola and Schölkopf. "From Regularization Operators to Support Vector Kernels." Neural Information Processing Systems, 1997.

Markdown

[Smola and Schölkopf. "From Regularization Operators to Support Vector Kernels." Neural Information Processing Systems, 1997.](https://mlanthology.org/neurips/1997/smola1997neurips-regularization/)

BibTeX

@inproceedings{smola1997neurips-regularization,
  title     = {{From Regularization Operators to Support Vector Kernels}},
  author    = {Smola, Alex J. and Schölkopf, Bernhard},
  booktitle = {Neural Information Processing Systems},
  year      = {1997},
  pages     = {343-349},
  url       = {https://mlanthology.org/neurips/1997/smola1997neurips-regularization/}
}