Skip to main content

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 50))

  • 86 Accesses

Abstract

Learning is a central problem for neural and synergetic computers and in this chapter we shall present a number of learning algorithms. As we have seen in previous chapters, patterns are stored in the form of vectors v k . In order to perform pattern recognition, the formalism requires that the adjoint vectors v + k are known. These v + k occur in different ways depending on whether the formalism is realized on a serial computer or on a network. In a serial computer we have to form the scalar products (v + k q) as is evident from the basic equation (5.11). The same projection is needed when the computer consists of a parallel network with three layers, as shown in Figs. 7.2 and 7.3.

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 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Bibliography and Comments

Learning of the Synaptic Strengths

  • H. Haken: Lectures given at the University of Stuttgart (1988)

    Google Scholar 

Information and Information Gain

  • H. Haken: Information and Self-organization, Springer Ser. Syn. Vol. 40 ( Springer, Berlin, Heidelberg 1988 )

    Google Scholar 

The Basic Construction Principle of a Synergetic Computer Revisited

  • H. Haken: Information and Self-organization, Springer Ser. Syn. Vol. 40 ( Springer, Berlin, Heidelberg 1988 )

    Google Scholar 

Learning by Means of the Information Gain

  • H. Haken: Information and Self-organization,cited above

    Google Scholar 

  • D.H. Ackley, G.E. Hinton, T. J. Sejnowski: A learning algorithm for Boltzmann machines: Cognitive Science 9, 147–169 (1985)

    Google Scholar 

  • The numerical results and figures are due to R. Haas, Diplom Thesis, Stuttgart (1989)

    Google Scholar 

A Learning Algorithm Based on a Gradient Dynamics

  • H. Haken, R. Haas, W. Banzhaf: Biol. Cybern. 62, 107 —111 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Haken, H. (1991). Learning Algorithms. In: Synergetic Computers and Cognition. Springer Series in Synergetics, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-22450-2_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-22450-2_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-22452-6

  • Online ISBN: 978-3-662-22450-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics