40 citations · 41 across the 4 of their papers we have counts for
6 papers
On the supra-linear storage in dense networks of grid and place cells
Adriano Barra, Martino S. Centonze, Michela Marra Solazzo +1
Place-cell networks, typically forced to pairwise synaptic interactions, are widely studied as models of cognitive maps: such models, however, share a severely limited storage capa…
The infinite volume limit of the Hopfield neural networks in the replica-symmetric regime
Elena Agliari, Adriano Barra, Pierluigi Bianco +2
Despite extensive research over the past five decades, a rigorous determination of the infinite-volume limit of the free energy of the Hopfield model with an extensive number of pa…
Guerra interpolation for place cells
Martino Salomone Centonze, Alessandro Treves, Elena Agliari +1
Pyramidal cells that emit spikes when the animal is at specific locations of the environment are known as "place cells": these neurons are thought to provide an internal representa…
Retrieving Infinite Numbers of Patterns in a Spin-Glass Model of Immune Networks
Elena Agliari, Alessia Annibale, Adriano Barra +2
The similarity between neural and immune networks has been known for decades, but so far we did not understand the mechanism that allows the immune system, unlike associative neura…
Immune networks: multi-tasking capabilities at medium load
Elena Agliari, Alessia Annibale, Adriano Barra +2
Associative network models featuring multi-tasking properties have been introduced recently and studied in the low load regime, where the number of simultaneously retrievable p…
How glassy are neural networks?
Adriano Barra, Giuseppe Genovese, Francesco Guerra +1
In this paper we continue our investigation on the high storage regime of a neural network with Gaussian patterns. Through an exact mapping between its partition function and one o…