Synaptic Development as a Variational Problem

  • Paolo Camiz

Abstract

A model for synaptic development in natural perceptive systems based on perturbation theory has been presented during the First Italian Conference on Systemic (Camiz, 1998a; Camiz, 1998b), and some further refinements and applications have been discussed in Fourth Science European Congress (Camiz, 1999) and in International Conference on Spatial Cognition 2000 (Camiz, 2000). The underlying idea for the perturbative neural network (PNN) has been suggested by the observation that some synaptic weights of visual system can be interpreted as eigenvectors of a suitable hermitian matrix, which turns out to be the correlation matrix of input vectors.

Keywords

Entropy Retina 

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References

  1. Camiz, P., 1998a, A model for synaptic development based on a self organizing neural network: General treatment. In First Italian Conference on Systemics (G. Minati, ed.), Apogeo, Milano, pp. 149-159.Google Scholar
  2. Camiz, P., 1998b, A model for synaptic development based on a self organizing neural network: Three applications to visual system. In First Italian Conference on Systemics (G. Minati, ed.), Apogeo, Milano, pp. 161-171.Google Scholar
  3. Camiz, P., and Lo Meo, S., 1999, A perturbative neural network as a universal tool for information codification. In 4th Systems Science European Congress Systemic (L. Ferrer et al., eds.), Valencia, pp. 481-490.Google Scholar
  4. Camiz, P., 2000, A neural network approach to synaptic development of labyrinth. In International Conference on Space Cognition - Cognitive Processing (M. Olivetti Belardinelli, ed.), Roma, p. 83.Google Scholar

Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Paolo Camiz
    • 1
    • 2
  1. 1.Department of PhysicsUniversità di Roma “La Sapienza”Piazzale A. MoroItaly
  2. 2.INFN Sezione di Roma; ECONAItaly

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