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Flow Diagrams of the Quadratic Neural Network

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Artificial Neural Networks — ICANN 2002 (ICANN 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2415))

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Abstract

The macroscopic dynamics of an extremely diluted three-state neural network based on mutual information and mean-field theory arguments is studied in order to establish the stability of the stationary states. Results are presented in terms of the pattern-recognition overlap, the neural activity, and the activity-overlap. It is shown that the presence of synaptic noise is essential for the stability of states that recognize only the active patterns when the full structure of the patterns is not recognizable. Basins of attraction of considerable size are obtained in all cases for a not too large storage ratio of patterns.

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References

  1. D. Dominguez and E. Korutcheva, Three-state neural network: From mutual Information to the Hamiltonian. Phys.Rev.E 62(2), (2000) 2620–2628.

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Author information

Authors and Affiliations

  1. E.T.S. Informática, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain

    David R. C. Dominguez

  2. Departamento de Física Fundamental, UNED, c/Senda del Rey No 9, 28080, Madrid, Spain

    E. Korutcheva

  3. Instituto de Física, Universidade Federal do Rio Grande do Sul, C.Postal 15051, 91501-970, Porto Alegre, Brazil

    W. K. Theumann & R. Erichsen Jr.

  4. G.Nadjakov Inst. Solid State Physics, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

    E. Korutcheva

Authors
  1. David R. C. Dominguez
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  2. E. Korutcheva
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  3. W. K. Theumann
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  4. R. Erichsen Jr.
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Editor information

Editors and Affiliations

  1. ETS Informática, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    José R. Dorronsoro

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© 2002 Springer-Verlag Berlin Heidelberg

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Dominguez, D.R.C., Korutcheva, E., Theumann, W.K., Erichsen, R. (2002). Flow Diagrams of the Quadratic Neural Network. In: Dorronsoro, J.R. (eds) Artificial Neural Networks — ICANN 2002. ICANN 2002. Lecture Notes in Computer Science, vol 2415. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46084-5_22

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  • DOI: https://doi.org/10.1007/3-540-46084-5_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44074-1

  • Online ISBN: 978-3-540-46084-8

  • eBook Packages: Springer Book Archive

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