Skip to main content

Computational Characteristics of Law Discovery Using Neural Networks

  • Conference paper
  • First Online:
Discovey Science (DS 1998)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1532))

Included in the following conference series:

Abstract

Lately the authors have proposed a new law discovery method called RF5 using neural networks; i.e., law-candidates (neural networks) are trained by using a second-order learning algorithm, and an information criterion selects the most suitable from law-candidates. Our previous experiments showed that RF5 worked well for relatively small problems. This paper evaluates how the method can be scaled up, and analyses how it is invariant for the normalization of input and output variables. Since the sizes of many real data are middle or large, the scalability of any law discovery method is highly important. Moreover since in most real data different variables have typical values which may differ significantly, the invariant nature for the normalization of variables is also important

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. C.M. Bishop. Neural networks for pattern recognition. Clarendon Press, Oxford, 1995.

    Google Scholar 

  2. R. Durbin and D. Rumelhart. Product units: a computationally powerful and biologically plausible extension. Neural Computation, 1(1):133–142, 1989.

    Article  Google Scholar 

  3. P.E. Gill, W. Murray, and M.H. Wright. Practical optimization. Academic Press, 1981.

    Google Scholar 

  4. P. Langley. Bacon.1: a general discovery system. In Proc. 2nd National Conference of the Canadian Society for Computational Studies of Intelligence, pages 173–180, 1978.

    Google Scholar 

  5. P. Langley, H.A. Simon, G. Bradshaw, and J. Zytkow. Scientific discovery: computational explorations of the creative process. MIT Press, 1987.

    Google Scholar 

  6. L.R. Leerink, C.L. Giles, B.G. Horne, and M.A. Jabri. Learning with product units. In Advances in Neural Information Processing Systems7, pages 537–544, 1995.

    Google Scholar 

  7. B. Nordhausen and P. Langley. A robust approach to numeric discovery. In Proc. 7th Int. Conf. on Machine Learning, pages 411–418, 1990.

    Google Scholar 

  8. J. Rissanen. Stochatic complexity in statistical inquiry. World Scientific, 1989.

    Google Scholar 

  9. D.E. Rumelhart, G.E. Hinton, and R.J. Williams. Learning internal representations by error propagation. In Parallel Distributed Processing, Vol.1, pages 318–362. MIT Press, 1986.

    Google Scholar 

  10. K. Saito and R. Nakano. Law discovery using neural networks. In Proc. 15th International Joint Conference on Artificial Intelligence, pages 1078–1083, 1997.

    Google Scholar 

  11. K. Saito and R. Nakano. Partial BFGS update and efficient step-length calculation for three-layer neural networks. Neural Computation, 9(1):239–257, 1997.

    Article  Google Scholar 

  12. C. Schaffer. Bivariate scientific function finding in a sampled, real-data testbed. Machine Learning, 12(1/2/3):167–183, 1993.

    Google Scholar 

  13. R.S. Sutton and C.J. Matheus. Learning polynomial functions by feature construction. In Proc. 8th Int. Conf. on Machine Learning, pages 208–212, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nakano, R., Saito, K. (1998). Computational Characteristics of Law Discovery Using Neural Networks. In: Arikawa, S., Motoda, H. (eds) Discovey Science. DS 1998. Lecture Notes in Computer Science(), vol 1532. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-49292-5_30

Download citation

  • DOI: https://doi.org/10.1007/3-540-49292-5_30

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65390-5

  • Online ISBN: 978-3-540-49292-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics