129 citations · 318 across the 16 of their papers we have counts for
5 papers · 1 filter
Topological properties of hierarchical networks
Elena Agliari, Adriano Barra, Andrea Galluzzi +3
Hierarchical networks are attracting a renewal interest for modelling the organization of a number of biological systems and for tackling the complexity of statistical mechanical m…
Hierarchical neural networks perform both serial and parallel processing
Elena Agliari, Adriano Barra, Andrea Galluzzi +3
In this work we study a Hebbian neural network, where neurons are arranged according to a hierarchical architecture such that their couplings scale with their reciprocal distance.…
A walk in the statistical mechanical formulation of neural networks
Elena Agliari, Adriano Barra, Andrea Galluzzi +2
Neural networks are nowadays both powerful operational tools (e.g., for pattern recognition, data mining, error correction codes) and complex theoretical models on the focus of sci…
Meta-stable states in the hierarchical Dyson model drive parallel processing in the hierarchical Hopfield network
Elena Agliari, Adriano Barra, Andrea Galluzzi +3
In this paper we introduce and investigate the statistical mechanics of hierarchical neural networks: First, we approach these systems à la Mattis, by thinking at the Dyson model a…
From Dyson to Hopfield: Processing on hierarchical networks
Elena Agliari, Adriano Barra, Andrea Galluzzi +3
We consider statistical-mechanical models for spin systems built on hierarchical structures, which provide a simple example of non-mean-field framework. We show that the coupling d…