Diluted neural networks with adapting and correlated synapses
Massimo Mannarelli, Giuseppe Nardulli, Sebastiano Stramaglia · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2001
We consider the dynamics of diluted neural networks with clipped and adapting synapses. Unlike previous studies, the learning rate is kept constant as the connectivity tends to infinity: the synapses evolve on a time scale intermediate between the quenched and annealing limits and all orders of synaptic correlations must be taken into account. The dynamics is solved by mean-field theory, the order parameter for synapses being a function. We describe the effects, in the double dynamics, due to synaptic correlations.