Replica symmetry breaking in supervised and unsupervised Hebbian networks
Linda Albanese,
Andrea Alessandrelli,
Alessia Annibale
et al.
Abstract:Hebbian neural networks with multi-node interactions, often called Dense Associative Memories, have recently attracted considerable interest in the statistical mechanics community, as they have been shown to outperform their pairwise counterparts in a number of features, including resilience against adversarial attacks, pattern retrieval with extremely weak signals and supra-linear storage capacities. However, their analysis has so far been carried out within a replica-symmetric theory. In this manuscript, we … Show more
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