565 citations · 2k across the 36 of their papers we have counts for
36 papers
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.…
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…
On quantum and relativistic mechanical analogues in mean field spin models
Adriano Barra, Andrea Di Lorenzo, Francesco Guerra +1
Conceptual analogies among statistical mechanics and classical (or quantum) mechanics often appeared in the literature. For classical two-body mean field models, an analogy develop…
Free-energy bounds for hierarchical spin models
Michele Castellana, Adriano Barra, Francesco Guerra
In this paper we study two non-mean-field spin models built on a hierarchical lattice: The hierarchical Edward-Anderson model (HEA) of a spin glass, and Dyson's hierarchical model…