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An overview of statistical learning theory

Vapnik, V.N.·1999·IEEE Transactions on Neural Networks

Abstract

Statistical learning theory was introduced in the late 1960's. Until the 1990's it was a purely theoretical analysis of the problem of function estimation from a given collection of data. In the middle of the 1990's new types of learning algorithms (called support vector machines) based on the developed theory were proposed. This made statistical learning theory not only a tool for the theoretical analysis but also a tool for creating practical algorithms for estimating multidimensional functions. This article presents a very general overview of statistical learning theory including both theoretical and algorithmic aspects of the theory. The goal of this overview is to demonstrate how the abstract learning theory established conditions for generalization which are more general than those discussed in classical statistical paradigms and how the understanding of these conditions inspired new algorithmic approaches to function estimation problems. A more detailed overview of the theory (without proofs) can be found in Vapnik (1995). In Vapnik (1998) one can find detailed description of the theory (including proofs).

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Show all 5 references

Research works printed but not linked: 25

  1. williamson, 1999, entropy number, operators, and support vector kernels, Advances in Kernel Methods— Support Vector Learning
  2. 10.1162/089976698300017269 · DOI · Paper page
  3. 10.1162/neco.1995.7.2.219 · DOI · Paper page
  4. 10.1007/978-3-642-82657-3_24 · DOI
  5. minsky, 1969, Perceptrons, 248
  6. opper, 1999, on the annealed vc entropy for margin classifiers: a statistical mechanics study, Advances in Kernel Methods— Support Vector Learning
  7. rumelhart, 1986, learning internal representations by error propagation, Parallel Distributed Processing Explorations in Macrostructure of Cognition, i, 318
  8. 10.1109/18.705570 · DOI · Paper page
  9. 10.1162/089976698300017467 · DOI · Paper page
  10. 10.1016/S0893-6080(98)00032-X · DOI · Paper page
  11. 10.1007/BF02214655 · DOI
  12. vidyasagar, 1997, A Theory of Learning and Generalization
  13. 10.1145/76359.76371 · DOI · Paper page
  14. vapnik, 1991, the necessary and sufficient conditions for consistency of the method of empirical risk minimization, Yearbook of the Academy of Sciences of the USSR on Recognition Classification and Forecasting, 2, 217
  15. bartlett, 1999, generalization performance on support vector machines and other pattern classifiers, Advances in Kernel Methods— Support Vector Learning
  16. burges, 1996, simplified support vector decision rule, Proc 13th Int Conf Machine Learning, 71
  17. 10.1145/130385.130401 · DOI · Paper page
  18. burges, 1999, geometry and invariance in kernel-based methods, Advances in Kernel Methods— Support Vector Learning
  19. 10.1006/jcss.1996.0033 · doi:10.1006/jcss.1996.0033
  20. 10.1145/263867.263927 · DOI · Paper page
  21. vapnik, 1979, Estimation of Dependencies Based on Empirical Data, 448
  22. vapnik, 1998, Statistical Learning Theory, 736
  23. vapnik, 1968, On the uniform convergence of relative frequencies of events to their probabilities, 181
  24. 10.1137/1126059 · DOI
  25. vapnik, 1979, <emph>theory of pattern recognition</emph>. moscow, russia: nauka, 1974 (in russian). german translation: w. n. wapnik and a. ja. chervonenkis, Theorie der Zeichenerkennung, 353

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Metadata

Authors
Vapnik, V. N.
Venue
IEEE Transactions on Neural Networks
Published
1999
Volume
10
Issue
5
Pages
988-999
ISSN
1045-9227 (ISSN-L)
OpenAlex
W2149298154
Cited by
6,266
References
5
FWCI
15.06
Type
journal article
Language
en
Open access
closed

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Vapnik, V. N. (1999). An overview of statistical learning theory. IEEE Transactions on Neural Networks. https://doi.org/10.1109/72.788640

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