Storage capacity of memory networks with binary couplings

Werner Krauth , Marc Mézard

We study the number p of unbiased random patterns which can be stored in a neural network of N neurons used as an associative memory, in the case where the synaptic efficacies are constrained to take the values ± 1. We find a solution with one step of replica symmetry breaking à la Parisi. This solution gives a critical capacity αc = p/N∼ 0.83 which seems to agree with known numerical results.

Mots clés: neural nets

Domaines: Articles anciens

Werner Krauth, Marc Mézard. Storage capacity of memory networks with binary couplings. Journal de Physique, 1989, 50 (20), pp.3057-3066. ⟨10.1051/jphys:0198900500200305700⟩. ⟨jpa-00211124⟩