Skip to main content
  • 413 Accesses

Abstract

Many (algorithmic) learning theories have been developed. The one which is now most often considered originated with L. Valiant (1984) and is called PAC-learning. In this chapter we show an interesting connection between PAC-learning and the principal known as “Occam’s Razor.”

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 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
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

  • L.G. Valiant: A theory of the learnable, Communications of the ACM 27 (1984), 1134–1142.

    Article  MATH  Google Scholar 

  • A. Blumer, A. Ehrenfeucht, D. Haussler, M.K. Warmuth: Occam’s Razor, Information Processing Letters 24 (1987), 377–380.

    Article  MathSciNet  MATH  Google Scholar 

  • A. Blumer, A. Ehrenfeucht, D. Haussler, M.K. Warmuth: Learnability and the Vapnik-Chervonenkis dimension, Journal of the ACM 36 (1989), 929–965.

    Article  MathSciNet  MATH  Google Scholar 

  • R. Board, L. Pitt: On the necessity of Occam algorithms, Proceedings of the 22nd Symposium on Theory of Computing, ACM, 1990, 54-63.

    Google Scholar 

  • D. Angluin: Computational learning theory: survey and selected bibliography, Proceedings of the 24th Symposium on Theory of Computing, ACM, 1992, 351-369.

    Google Scholar 

  • B. Natarajan: Machine Learning, Morgan Kaufmann, 1991.

    Google Scholar 

  • M. Anthony, N. Biggs: Computational Learning Theory, Cambridge University Press, 1992.

    Google Scholar 

  • M. Li, P. Vitanyi: An Introduction to Kolmogorov Complexity and its Applications j 2nd edition, Springer, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Schöning, U., Pruim, R. (1998). PAC-Learning and Occam’s Razor. In: Gems of Theoretical Computer Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60322-8_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-60322-8_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64352-1

  • Online ISBN: 978-3-642-60322-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics