Skip to main content

Non-symmetric Support Vector Machines

  • Conference paper
  • First Online:
Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence (IWANN 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2084))

Included in the following conference series:

  • 1463 Accesses

Abstract

A novel approach to calculate the generalization error of the support vector machines anda new support vector machine—nonsymmatic support vector machine—is proposedhere. Our results are based upon the extreme value theory and both the mean andv ariance of the generalization error are exactly ontained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. Brown M., Grundy W., Lin D., Cristianini N., Sugnet C., Furey T., Ares Jr. M., and, Haussler D. (1999) Knowledge-based Analysis of Microarray Gene Expression Data using Support Vector Machines. Proceedings of the National Academy of Sciences 97 262–267.

    Article  Google Scholar 

  2. Cristianini, N., and, Shawe-Taylor J. (2000) An introduction to support vector machines Cambridge University Press: Cambridge UK.

    Google Scholar 

  3. Dietrick R., Opper M., Sompolinsky H. (1999) Statistical mechanics of support vector networks Phys. Rev. Letts, 82 2975–2978.

    Article  Google Scholar 

  4. Feng, J. (1997) Behaviours of spike output jitter in the integrate-and-fire model. Phys. Rev. Lett. 79 4505–4508.

    Article  Google Scholar 

  5. Feng, J. (1998) Generalization errors of the simple perceptron. J. Phys. A. 31, 4037–4048.

    Article  MATH  MathSciNet  Google Scholar 

  6. Feng, J., and Williams P. (2001) Calculation of the generalization error for various support vector machines IEEE T. on Neural Networks (in press).

    Google Scholar 

  7. Feng, J., and Williams P. (2001) Support vector machines-a theoretical andn umerical study (in Prepartion)

    Google Scholar 

  8. Leadbetter, M. R., Lindgren, G. & Rootzén, H. (1983) Extremes and Related Properties of Random Sequences and Processes, Springer-Verlag, New York, Heidelberg, Berlin.

    MATH  Google Scholar 

  9. Vapnik V., and, Chapelle O. (2000) Bounds on error expectation for support vector machines Neural computation 12 2013–2036.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Feng, J. (2001). Non-symmetric Support Vector Machines. In: Mira, J., Prieto, A. (eds) Connectionist Models of Neurons, Learning Processes, and Artificial Intelligence. IWANN 2001. Lecture Notes in Computer Science, vol 2084. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45720-8_49

Download citation

  • DOI: https://doi.org/10.1007/3-540-45720-8_49

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42235-8

  • Online ISBN: 978-3-540-45720-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics