Skip to main content
SpringerLink
Log in
Book cover

International Workshop on Artificial Neural Networks

IWANN 1995: From Natural to Artificial Neural Computation pp 338–344Cite as

A fractal, selforganizing map with partially chaotic neurons

  • Organization Principles
  • Conference paper
  • First Online:

  • 805 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 930))

Abstract

A new type of a chaotic neuron is proposed which allows a new, simplified architecture of selforganizing maps. The chaotic neurons are examined with respect to their application in selforganizing maps. A new concept of self-organizing maps with fractal architecture is proposed and its suitability for a VLSI-implementation is examined. It is shown that the efficiency of conventional selforganizing maps can be overcome while the expenditure, with regard to a hardware-realisation, is notably reduced.

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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kohonen, T.: Automatic Formation of Topological Maps of Patterns in a Selforganizing System, Proceedings of the 2nd Scandinavian Conference on Image Analysis, Helsinki (June 15–17, 1981), pp. 1–7.

    Google Scholar 

  2. Kohonen, T.: Self-Organised Formation of Topology Correct Feature Maps, Biological Cybernetics 43 (1982), pp. 59–69.

    Google Scholar 

  3. Dingle, Allison A., Andreae, John H., Jones, Richard D.: A Chaotic Neural Unit, IEEE 5/93, 1993, pp 335–340.

    Google Scholar 

  4. Tryba, Viktor: Selbstorganisierende Karten: Theorie, Anwendung und VLSI-Implementierung, Fortschrittsberichte VDI, Reihe 9: Elektronik, Nr. 151.

    Google Scholar 

  5. Jaggard, Dwight, L.: Special Section on Fractals in Electrical Engineering, Proceedings of the IEEE, Vol. 81, No. 10, October 1993, pp 1423–1427.

    Google Scholar 

  6. S. Rüping, U. Rückert, K. Goser: Hardware design for a Self-Organizing Feature Map with binary Input Vectors, Proceedings for IWANN (1993), Sitges (Spain), pp 488–493.

    Google Scholar 

  7. R.W. Leven, B.-P. Koch, B. Pompe: Chaos in dissipativen Systemen, Vieweg1989, pp 13, 53, 102

    Google Scholar 

  8. Eryk Infeld, George Rowlands: Nonlinear waves, solitons and chaos, Cambridge University Press, 1990

    Google Scholar 

  9. James Testa, José Pérez, Carson Jeffries: Evidence for Universal Chaotic Behaviour of a Driven Nonlinear Oszillator, Physical Review Letters, 1982, Volume 48, pp 714–717

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Electrical Engineering, University of Dortmund, D 44221, Dortmund, Germany

    A. Kosak & K. Goser

Authors
  1. A. Kosak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Goser
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

José Mira Francisco Sandoval

Rights and permissions

Reprints and permissions

Copyright information

© 1995 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kosak, A., Goser, K. (1995). A fractal, selforganizing map with partially chaotic neurons. In: Mira, J., Sandoval, F. (eds) From Natural to Artificial Neural Computation. IWANN 1995. Lecture Notes in Computer Science, vol 930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59497-3_194

Download citation

  • DOI: https://doi.org/10.1007/3-540-59497-3_194

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59497-0

  • Online ISBN: 978-3-540-49288-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation