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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.

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References

  • 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.

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  • 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.

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  • 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.

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  • 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.

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© 2002 Springer Science+Business Media New York

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Camiz, P. (2002). Synaptic Development as a Variational Problem. In: Minati, G., Pessa, E. (eds) Emergence in Complex, Cognitive, Social, and Biological Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-0753-6_7

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  • DOI: https://doi.org/10.1007/978-1-4615-0753-6_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5224-2

  • Online ISBN: 978-1-4615-0753-6

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