## Storage capacity of a neural network with state-dependent synapses.(English)Zbl 0842.68063

Summary: The storage capacity of the Hopfield network is limited to $$p/N \leq \alpha_c = 0.138$$ $$(p =$$ number of patterns, $$N =$$ number of neurons), beyond which the contribution of weakly correlated patterns surpasses that of the desired pattern. This contribution can be eliminated by introducing a threshold: a pattern correlation below this threshold is simply set to zero in the synapses. We solve the mean-field equations and derive the critical value of the threshold required to stabilize $$p = \alpha N$$ patterns with $$\alpha > \alpha_c$$.

### MSC:

 68T05 Learning and adaptive systems in artificial intelligence

### Keywords:

storage capacity; Hopfield network
Full Text: