Empirical Inference Article 2008

Kernel Methods in Machine Learning

We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS) of functions defined on the data domain, expanded in terms of a kernel. Working in linear spaces of function has the benefit of facilitating the construction and analysis of learning algorithms while at the same time allowing large classes of functions. The latter include nonlinear functions as well as functions defined on nonvectorial data.

Author(s): Hofmann, T. and Schölkopf, B. and Smola, AJ.
Journal: Annals of Statistics
Volume: 36
Number (issue): 3
Pages: 1171-1220
Year: 2008
Month: June
Day: 0
Bibtex Type: Article (article)
DOI: 10.1214/009053607000000677
Digital: 0
Electronic Archiving: grant_archive
Institution: Max Planck Institute for Biological Cybernetics, Tübingen
Language: en
Organization: Max-Planck-Gesellschaft
School: Biologische Kybernetik
Links:

BibTex

@article{4268,
  title = {Kernel Methods in Machine Learning},
  journal = {Annals of Statistics},
  abstract = {We review machine learning methods employing positive definite kernels. These methods formulate learning and estimation problems in a reproducing kernel Hilbert space (RKHS) of functions defined on the data domain, expanded in terms of a kernel. Working in linear spaces of function has the benefit of facilitating the construction and analysis of learning algorithms while at the same time allowing large classes of functions. The latter include nonlinear functions as well as functions defined on nonvectorial data.},
  volume = {36},
  number = {3},
  pages = {1171-1220},
  organization = {Max-Planck-Gesellschaft},
  institution = {Max Planck Institute for Biological Cybernetics, Tübingen},
  school = {Biologische Kybernetik},
  month = jun,
  year = {2008},
  slug = {4268},
  author = {Hofmann, T. and Sch{\"o}lkopf, B. and Smola, AJ.},
  month_numeric = {6}
}