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Iberoamerican Congress on Pattern Recognition

CIARP 2005: Progress in Pattern Recognition, Image Analysis and Applications pp 252–261Cite as

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The Use of Bayesian Framework for Kernel Selection in Vector Machines Classifiers

The Use of Bayesian Framework for Kernel Selection in Vector Machines Classifiers

  • Dmitry Kropotov18,
  • Nikita Ptashko19 &
  • Dmitry Vetrov18 
  • Conference paper
  • 1019 Accesses

Part of the Lecture Notes in Computer Science book series (LNIP,volume 3773)

Abstract

In the paper we propose a method based on Bayesian framework for selecting the best kernel function for supervised learning problem. The parameters of the kernel function are considered as model parameters and maximum evidence principle is applied for model selection. We describe a general scheme of Bayesian regularization, present model of kernel classifiers as well as our approximations for evidence estimation, and then give some results of experimental evaluation.

Keywords

  • Kernel Function
  • Bayesian Framework
  • Relevant Point
  • Relevance Vector Machine
  • Bayesian Regularization

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Burges, C.J.S.: A Tutorial on Support Vector Machines for Pattern Recognition. Data Mining and Knowledge Discovery 2, 121–167 (1998)

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  2. Vapnik, V.N.: The Nature of Statistical Learning Theory. Springer, New York (1995)

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  3. MacKay, D.J.C.: Information Theory, Inference, and Learning Algorithms. Cambridge University Press, Cambridge (2003)

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  4. Tipping, M.E.: Sparse Bayesian Learning and the Relevance Vector Machines. Journal of Machine Learning Research 1, 211–244 (2001)

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  5. Murphy, P.M., Aha, D.W.: UCI Repository of Machine Learning Databases [Machine Readable Data Repository]. Univ. of California, Dept. of Information and Computer Science, Irvine, Calif (1996)

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Author information

Authors and Affiliations

  1. Dorodnicyn Computing Centre, Vavilova str. 40, Moscow, 119991, Russia

    Dmitry Kropotov & Dmitry Vetrov

  2. Moscow State University, Vorob’evy gory, Moscow, 119234, Russia

    Nikita Ptashko

Authors
  1. Dmitry Kropotov
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  2. Nikita Ptashko
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  3. Dmitry Vetrov
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Editor information

Editors and Affiliations

  1. Dept. System Engineering and Automation, Universitat Politècnica de Catalunya (UPC) Barcelona, Spain

    Alberto Sanfeliu

  2. Pattern Recognition Group, ICIMAF, Havana, Cuba

    Manuel Lazo Cortés

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© 2005 Springer-Verlag Berlin Heidelberg

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Cite this paper

Kropotov, D., Ptashko, N., Vetrov, D. (2005). The Use of Bayesian Framework for Kernel Selection in Vector Machines Classifiers. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_27

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  • DOI: https://doi.org/10.1007/11578079_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29850-2

  • Online ISBN: 978-3-540-32242-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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