Synaptic Development as a Variational Problem
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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