Abstract
Learning rules of a forgetful memory generate their synaptic efficacies through iterative procedures that operate on the
input data, random patterns. We analyse invariant distributions of the synaptic couplings as they arise asymptotically and
show that they exhibit fractal or multifractal properties. We also discuss their dependence upon the learning rule and the
parameters specifying it, and indicate how the nature of the invariant distribution is related to the network performance.
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