5 papers · 1 filter
Generalized hetero-associative neural networks
Elena Agliari, Andrea Alessandrelli, Adriano Barra +2
Auto-associative neural networks (e.g., the Hopfield model implementing the standard Hebbian prescription) serve as a foundational framework for pattern recognition and associative…
The thermodynamic limit in mean field neural networks
Elena Agliari, Adriano Barra, Pierluigi Bianco +2
In the last five decades, mean-field neural-networks have played a crucial role in modelling associative memories and, in particular, the Hopfield model has been extensively studie…
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…
Inverse modeling of time-delayed interactions via the dynamic-entropy formalism
Elena Agliari, Francesco Alemanno, Adriano Barra +3
Although instantaneous interactions are unphysical, a large variety of maximum entropy statistical inference methods match the model-inferred and the empirically-measured equal-tim…
Fundamental operating regimes, hyper-parameter fine-tuning and glassiness: towards an interpretable replica-theory for trained restricted Boltzmann machines
Alberto Fachechi, Elena Agliari, Miriam Aquaro +2
We consider restricted Boltzmann machines with a binary visible layer and a Gaussian hidden layer trained by an unlabelled dataset composed of noisy realizations of a single ground…