Skip to main content

On Hadamard-Type Output Coding in Multiclass Learning

  • Conference paper
Intelligent Data Engineering and Automated Learning (IDEAL 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2690))

Abstract

The error-correcting output coding (ECOC) method reduces the multiclass learning problem into a series of binary classifiers. In this paper, we consider the dense ECOC methods, combining an economical number of base learners. Under the criteria of row separation and column diversity, we suggest the use of Hadamard matrices to design output codes and show them better than other codes of the same size. Comparative experiments based on the support vector machines are made for some real datasets from the UCI machine learning repository.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

References

  1. Allwein, E.L., Schapire, R.E., Singer, Y.: Reducing multiclass to binary: a unifying approach for margin classifiers. Journal of Machine Learning Research 1, 113–141 (2000)

    Article  MathSciNet  Google Scholar 

  2. Blake, C.L., Merz, C.J.: UCI Repository of machine learning databases (1998), http://www.ics.uci.edu/~mlearn/MLRepository.html

  3. Box, G.E.P., Hunter, W.G., Hunter, J.S.: Statistics for Experiments. Wiley, New York (1978)

    Google Scholar 

  4. Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines (2001), Software available at: http://www.csie.ntu.edu.tw/~cjlin/libsvm

  5. Cristianini, N., Shawe-Taylor, J.: An Introduction to Support Vector Machines (and other kernel-based learning methods). Cambridge University Press, Cambridge (2000)

    Google Scholar 

  6. Dietterich, T.G., Bakiri, G.: Solving multiclass learning problems via errorcorrecting output codes. Journal of Artificial Intelligence Research 2, 263–286 (1995)

    MATH  Google Scholar 

  7. Hastie, T., Tibshirani, R.: Classification by pariwise coupling. The Annals of Statistics 26(2), 451–471 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  8. MacWilliams, F.J., Sloane, N.J.A.: The Theory of Error-Correcting Codes. Elsevier Science Publishers, Amsterdam (1977)

    MATH  Google Scholar 

  9. Schapire, R.E.: The strength of weak learnability. Machine Learning 5, 197–227 (1990)

    Google Scholar 

  10. Sloane, N.J.A.: A Library of Hadamard Matrices, AT&T (1999), http://www.research.att.com/~njas/hadamard/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, A., Wu, ZL., Li, CH., Fang, KT. (2003). On Hadamard-Type Output Coding in Multiclass Learning. In: Liu, J., Cheung, Ym., Yin, H. (eds) Intelligent Data Engineering and Automated Learning. IDEAL 2003. Lecture Notes in Computer Science, vol 2690. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45080-1_51

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-45080-1_51

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40550-4

  • Online ISBN: 978-3-540-45080-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics