Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3697))

Included in the following conference series:

Abstract

This paper extends recent advances in Support Vector Machines and kernel machines in estimating additive models for classification from observed multivariate input/output data. Specifically, we address the question how to obtain predictive models which gives insight into the structure of the dataset. This contribution extends the framework of structure detection as introduced in recent publications by the authors towards estimation of componentwise Support Vector Machines (cSVMs). The result is applied to a benchmark classification task where the input variables all take binary values.

An erratum to this chapter can be found at http://dx.doi.org/10.1007/11550907_163 .

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
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

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. Antoniadis, A., Fan, J.: Regularized wavelet approximations (with discussion). Jour. of the Am. Stat. Ass. 96, 939–967 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)

    MATH  Google Scholar 

  3. Cristianini, N., Shawe-Taylor, J.: An Introduction to Support Vector Machines. Cambridge University Press, Cambridge (2000)

    Google Scholar 

  4. Frank, L.E., Friedman, J.H.: A statistical view of some chemometric regression tools. Technometrics 35, 109–148 (1993)

    Article  MATH  Google Scholar 

  5. Fu, W.J.: Penalized regression: the bridge versus the LASSO. Journal of Computational and Graphical Statistics 7, 397–416 (1998)

    Article  MathSciNet  Google Scholar 

  6. Gunn, S.R., Kandola, J.S.: Structural modelling with sparse kernels. Machine Learning 48(1), 137–163 (2002)

    Article  MATH  Google Scholar 

  7. Hastie, T., Tibshirani, R.: Generalized additive models. Chapman and Hall, Boca Raton (1990)

    MATH  Google Scholar 

  8. Pelckmans, K., De Brabanter, J., Suykens, J.A.K., De Moor, B.: Maximal variation and missing values for componentwise support vector machines. Technical report, SCD - ESAT - KULeuven, Leuven (2005)

    Google Scholar 

  9. Pelckmans, K., Goethals, I., De Brabanter, J., Suykens, J.A.K., De Moor, B.: Componentwise least squares support vector machines. In: Wang, L. (ed.) Support Vector Machines: Theory and Applications. Springer, Heidelberg (2004) (in press)

    Google Scholar 

  10. Pelckmans, K., Suykens, J.A.K., De Moor, B.: Building sparse representations and structure determination on LS-SVM substrates. Neurocomputing (2005) (in press)

    Google Scholar 

  11. Schlimmer, J.C.: Concept acquisition through representational adjustment. PhD thesis, Department of Information and Computer Science, University of California, Irvine, CA (1987)

    Google Scholar 

  12. Schölkopf, B., Smola, A.: Learning with Kernels. MIT Press, Cambridge (2002)

    Google Scholar 

  13. Suykens, J.A.K., Van Gestel, T., De Brabanter, J., De Moor, B., Vandewalle, J.: Least Squares Support Vector Machines. World Scientific, Singapore (2002)

    Book  MATH  Google Scholar 

  14. Suykens, J.A.K., Vandewalle, J.: Least squares support vector machine classifiers. Neural Processing Letters 9(3), 293–300 (1999)

    Article  MathSciNet  Google Scholar 

  15. Tibshirani, R.J.: Regression shrinkage and selection via the LASSO. Journal of the Royal Statistical Society 58, 267–288 (1996)

    MATH  MathSciNet  Google Scholar 

  16. Vapnik, V.N.: Statistical Learning Theory. Wiley and Sons, Chichester (1998)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pelckmans, K., Suykens, J.A.K., De Moor, B. (2005). Componentwise Support Vector Machines for Structure Detection. In: Duch, W., Kacprzyk, J., Oja, E., Zadrożny, S. (eds) Artificial Neural Networks: Formal Models and Their Applications – ICANN 2005. ICANN 2005. Lecture Notes in Computer Science, vol 3697. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11550907_102

Download citation

  • DOI: https://doi.org/10.1007/11550907_102

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-28755-1

  • Online ISBN: 978-3-540-28756-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics