Skip to main content

Towards reduction arguments for FINite learning

  • 1 Inductive Inference Theory
  • Chapter
  • First Online:
Algorithmic Learning for Knowledge-Based Systems

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 961))

  • 123 Accesses

Abstract

This paper deals with the ability of cooperating teams of learners to learn classes of total recursive functions. The main contribution of the research described here is the development of analytical tools which permit the determination of team learning capabilities. The basis of our analytical framework is a reduction technique. We extend the notion of finite learning in order to successfully apply the reduction technique.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. Daley, and B. Kalyanasundaram, Capabilities of Probabilistic Learners with Bounded Mind Changes, In Proceedings of the 1993 Workshop on Computational Learning Theory, 1993.

    Google Scholar 

  2. R. Daley, and B. Kalyanasundaram, Use of Reduction Arguments in Determining Popperian FIN-type Learning Capabilities, In Proceedings of the 1993 Workshop on Algorithmic Learning Theory, 1993.

    Google Scholar 

  3. R. Daley, B. Kalyanasundaram, and M. Velauthapillai, Breaking the probability 1/2 barrier in FIN-type learning, In Proceedings of the 1992 Workshop on Computational Learning Theory, 1992.

    Google Scholar 

  4. R. Daley, B. Kalyanasundaram, and M. Velauthapillai, The Power of Probabilism in Popperian FINite Learning, In Proceedings of the 1992 Workshop on Analogical and Inductive Inference, Lecture Notes in Computer Science 642, 151–169.

    Google Scholar 

  5. R. Daley, L. Pitt, M. Velauthapillai, and T. Will, Relations between probabilistic and team one-shot learners, In Proceedings of the 1991 Workshop on Computational Learning Theory, pages 228–239, 1991.

    Google Scholar 

  6. R.V. Freivalds, Finite Identification of General Recursive Functions by Probabilistic Strategies, Akademie Verlag, Berlin, 1979.

    Google Scholar 

  7. S. Jain, and A. Sharma, Finite learning by a team, In Proceedings of the 1990 Workshop on Computational Learning Theory, pages 163–177, 1990.

    Google Scholar 

  8. D. Osherson, M. Stob, and S. Weinstein, Systems that Learn, An Introduction to Learning Theory for Cognitive and Computer Scientists, MIT Press, Cambridge, Mass., 1986.

    Google Scholar 

  9. L. Pitt, and C. Smith, Probability and plurality for aggregations of learning machines, Information and Computation, 77(1):77–92, 1988.

    Google Scholar 

  10. M. Velauthapillai, Inductive inference with a bounded number of mind changes, In Proceedings of the 1989 Workshop on Computational Learning Theory, pages 200–213, 1989.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Klaus P. Jantke Steffen Lange

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Daley, R., Kalyanasundaram, B. (1995). Towards reduction arguments for FINite learning. In: Jantke, K.P., Lange, S. (eds) Algorithmic Learning for Knowledge-Based Systems. Lecture Notes in Computer Science, vol 961. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60217-8_4

Download citation

  • DOI: https://doi.org/10.1007/3-540-60217-8_4

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60217-0

  • Online ISBN: 978-3-540-44737-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics