Location of Repository

The connection between regularization operators and support vector kernels

By Alex J. Smola, Bernhard Schölkopf and Klaus-robert Müller

Abstract

In this paper a correspondence is derived between regularization operators used in regularization networks and support vector kernels. We prove that the Green’s Functions associated with regularization operators are suitable support vector kernels with equivalent regularization properties. Moreover, the paper provides an analysis of currently used support vector kernels in the view of regularization theory and corresponding operators associated with the classes of both polynomial kernels and translation invariant kernels. The latter are also analyzed on periodical domains. As a by-product we show that a large number of radial basis functions, namely conditionally positive definit

Topics: Support vector machines, Mercer kernel, Regularization networks, Ridge regression, Green’s functions, Conditionally positive definite functions, Polynomial kernels, Radial basis functions Nomenclature
Year: 1998
OAI identifier: oai:CiteSeerX.psu:10.1.1.411.8208
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://cbio.ensmp.fr/~jvert/sv... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.