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A modified algorithm for self-organizing maps based on the Schrödinger equation

  • Neural Network Theories, Neural Models
  • Conference paper
  • First Online:
Artificial Neural Networks (IWANN 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 540))

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Abstract

We develop a modified algorithm of the self-organizing map invented by T. Kohonen that is formally based on the numerical solution of a two-dimensional wave equation derived from the time-dependent Schrödinger equation. With this, we offer a model that can be used to justify the Kohonen algorithm from quantum physics. The Kohonen algorithm therefore is a principal progress in neural network research. As the algorithm operates in a local and parallel way it is very adequate for an implementation in microelectronics.

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Authors and Affiliations

  1. Lehrstuhl Bauelemente der Elektrotechnik Facultät für Electrotechnik, Universität Dortmund, Dortmund, Germany

    Tryba V & Goser K

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  1. Tryba V
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  2. Goser K
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Alberto Prieto

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© 1991 Springer-Verlag Berlin Heidelberg

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V, T., K, G. (1991). A modified algorithm for self-organizing maps based on the Schrödinger equation. In: Prieto, A. (eds) Artificial Neural Networks. IWANN 1991. Lecture Notes in Computer Science, vol 540. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035875

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  • DOI: https://doi.org/10.1007/BFb0035875

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54537-8

  • Online ISBN: 978-3-540-38460-1

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