Skip to main content

What Makes a Problem Hard for XCS?

  • Conference paper
  • First Online:
Advances in Learning Classifier Systems (IWLCS 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1996))

Included in the following conference series:

Abstract

Despite two decades of work learning classifier systems researchers have had relatively little to say on the subject of what makes a problem difficult for a classifier system. Wilson’s accuracy-based XCS, a promising and increasingly popular classifier system, is, we feel, the natural first choice of classifier system with which to address this issue. To make the task more tractable we limit our considerations to a restricted, but very important, class of problems. Most significantly, we consider only single step reinforcement learning problems and the use of the standard binary/ternary classifier systems language. In addition to distinguishing several dimensions of problem complexity for XCS, we consider their interactions, identify bounding cases of difficulty, and consider complexity metrics for XCS. Based on these results we suggest a simple template for ternary single step test suites to more comprehensively evaluate classifier systems.

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 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.

Similar content being viewed by others

References

  1. Goldberg, D. E. Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley, 1989.

    Google Scholar 

  2. Kovacs, T. Evolving Optimal Populations with XCS Classifier Systems. MSc Thesis, University of Birmingham. Also Technical Report CSR-96-17 and CSRP-96-17, School of Computer Science, University of Birmingham, Birmingham, U.K., 1996.

    Google Scholar 

  3. Kovacs, T. Steady State Deletion Techniques in a Classifier System. Unpublished PhD report, 1997.

    Google Scholar 

  4. Kovacs, T. XCS Classifier System Reliably Evolves Accurate, Complete, and Minimal Representations for Boolean Functions. In Roy, Chawdhry, and Pant, editors, Soft Computing in Engineering Design and Manufacturing, pages 59–68. Springer-Verlag, 1997.

    Google Scholar 

  5. Kovacs, T. Deletion schemes for classifier systems. In W. Banzhaf, J. Daida, A. E. Eiben, M. H. Garzon, V. Honavar, M. Jakiela, and R. E. Smith, editors, GECCO-99: Proceedings of the Genetic and Evolutionary Computation Conference, pages 329–336. Morgan Kaufmann, 1999.

    Google Scholar 

  6. Kovacs, T. Strength or Accuracy? Fitness Calculation in Learning Classifier Systems. In P. L. Lanzi, W. Stolzmann, and S. W. Wilson, editors, Learning Classifier Systems: An Introduction to Contemporary Research, pages 143–160. Springer-Verlag, 2000.

    Google Scholar 

  7. Lanzi, P. L. A Study of the Generalization Capabilities of XCS. In Thomas Bäck, editor, Proceedings Seventh International Conference on Genetic Algorithms (ICGA-7), pages 418–425. Morgan Kaufmann, 1997.

    Google Scholar 

  8. Lanzi, P. L. Generalization in Wilson’s XCS. In A. E. Eiben, T. Bäck, M. Shoenauer, and H.-P. Schwefel, editors, Proceedings of the Fifth International Conference on Parallel Problem Solving From Nature, number 1498 in LNCS. Springer-Verlag, 1998.

    Chapter  Google Scholar 

  9. Li, M. and Vitányi, P. An Introduction to Kolmogorov Complexity and Its Applications. 2nd edition. Springer-Verlag, 1997.

    Google Scholar 

  10. Wilson, S. W. Classifier fitness based on accuracy. Evolutionary Computation, 3(2):149–175, 1995.

    Article  Google Scholar 

  11. Wilson, S. W. Generalization in the XCS classifier system. In J. Koza et al., editors, Genetic Programming 1998: Proceedings of the Third Annual Conference, pages 665–674. Morgan Kaufmann, 1998.

    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

Kovacs, T., Kerber, M. (2001). What Makes a Problem Hard for XCS?. In: Luca Lanzi, P., Stolzmann, W., Wilson, S.W. (eds) Advances in Learning Classifier Systems. IWLCS 2000. Lecture Notes in Computer Science(), vol 1996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44640-0_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-44640-0_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42437-6

  • Online ISBN: 978-3-540-44640-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics