Abstract
This chapter describes the Support Vector technique for function estimation problems such as pattern recognition, regression estimation, and solving linear operator equations. It shows that for the Support Vector method both the quality of solution and the complexity of the solution does not depend directly on the dimensionality of an input space. Therefore, on the basis of this technique one can obtain a good estimate using a given number of high-dimensional data.
This chapter has been written using materials reprinted with permission from Vapnik: STATISTICAL LEARNING THEORY (in press)
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Boser, B. E., Gayon, I. M. and Vapnik, V. N. (1992). A training algorithm for optimal margin classifier. Proceedings of the 5th Annual ACM Workshop on Computational Learning Theory, pp. 144–152, Pittsburgh, PA.
Cortes, C. and Vapnik, V. (1995). Support Vector Network. Machine Learning, 20:273–297.
Vapnik, V. (1995). The Nature of Statistical Learning Theory. Springer Verlag, New-York.
Vapnik, V. (1998). Statistical Learning Theory. J. Wiley, New-York.
Vapnik, V. N. and Chervonenkis, A. Ya. (1964). A note on one class of perceptrons. Automation and Remote Control (25)1.
Vapnik, V. N. and Chervonenkis, A. Ya. (1974)(1979). Theory of Pattern Recognition (in Russian) Nauka, Moscow, 1974. (German translation: W.N. Wapnik, A Ja. Tscherwonenkis Teorie der Zeichenerkennung Akademia-Verlag, Berlin, 1979.)
Vapnik, V., Golowich, S. and Smola, A. (1997). Support vector method for function approximation, regression estimation and signal processing. In Advances in Neural Information Processing Systems, 9., MIT Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vapnik, V. (1998). The Support Vector Method of Function Estimation. In: Suykens, J.A.K., Vandewalle, J. (eds) Nonlinear Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5703-6_3
Download citation
DOI: https://doi.org/10.1007/978-1-4615-5703-6_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7611-8
Online ISBN: 978-1-4615-5703-6
eBook Packages: Springer Book Archive