Abstract

Spiral structures are one of the most difficult patterns to classify. In this paper, some important characteristics of the two-spiral problem are discussed. The paper discusses the reasons why linear and non-linear approaches have difficulties with classifying such data. The paper focusses on how structural information about spirals can be useful in providing critical information to a neural network for their recognition. Results are presented on neural network solutions to the classical two-spiral problem by extracting structural and rotational information from the spiral training data.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free ship** 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. Touretzky, DS, and Pomerleau DA. What’s hidden in the hidden layers? Byte 1989; August issue:227–233.

    Google Scholar 

  2. Fahlman, SE. Faster-learning variations on back-propagation: An empirical study. In Proceedings of the 1988 Connectionist Models Summer School, Morgan Kaufmann, 1988.

    Google Scholar 

  3. Fahlman, SE and Lebieres C. The cascade-correlation learning architecture, In Advances in neural information processing systems 2, Touretzky DS (ed.), Morgan Kaufmann, 1990.

    Google Scholar 

  4. Lang, KJ and Witbrock, MJ. Learning to tell two spirals apart, In Proceedings of the 1988 Connectionist Models Summer School, Morgan Kaufmann, 1988.

    Google Scholar 

  5. Tay, LP and Evans, DJ. Fast learning artificial neural network (FLANN II) using the nearest neighbour recall. Neural, Parallel and Scientific Computations 1994; 2(1): 17–27.

    MATH  Google Scholar 

  6. Sun, CT and Jang, JS. A neuro-fuzzy classifier and its applications, In Proceedings of the IEEE International conference on fuzzy systems, 1993, vol. 1, pp. 94–98.

    Google Scholar 

  7. Chua, H, Jia, J, Chen, L and Gong, Y. Solving the two-spiral problem through input data encoding, Electronics letters 1995; 31(10):813–14.

    Article  Google Scholar 

  8. Jia, J and Chua, H. Solving two-spiral problem through input data representation, In Proceedings of the IEEE International conference on neural networks, 1995, vol. 1, pp. 132–135.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag London Limited

About this paper

Cite this paper

Singh, S. (1999). Neural Learning of Spiral Structures. In: Singh, S. (eds) International Conference on Advances in Pattern Recognition. Springer, London. https://doi.org/10.1007/978-1-4471-0833-7_23

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-0833-7_23

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-1214-3

  • Online ISBN: 978-1-4471-0833-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Navigation