64 citations · 320 across the 33 of their papers we have counts for
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Dreaming neural networks: rigorous results
Elena Agliari, Francesco Alemanno, Adriano Barra +1
Recently a daily routine for associative neural networks has been proposed: the network Hebbian-learns during the awake state (thus behaving as a standard Hopfield model), then, du…
A novel derivation of the Marchenko-Pastur law through analog bipartite spin-glasses
Elena Agliari, Francesco Alemanno, Adriano Barra +1
In this work we consider the {\em analog bipartite spin-glass} (or {\em real-valued restricted Boltzmann machine} in a neural network jargon), whose variables (those quenched as we…
Dreaming neural networks: forgetting spurious memories and reinforcing pure ones
Alberto Fachechi, Elena Agliari, Adriano Barra
The standard Hopfield model for associative neural networks accounts for biological Hebbian learning and acts as the harmonic oscillator for pattern recognition, however its maxima…
The Relativistic Hopfield network: rigorous results
Elena Agliari, Adriano Barra, Matteo Notarnicola
The relativistic Hopfield model constitutes a generalization of the standard Hopfield model that is derived by the formal analogy between the statistical-mechanic framework embeddi…
Free energies of Boltzmann Machines: self-averaging, annealed and replica symmetric approximations in the thermodynamic limit
Elena Agliari, Adriano Barra, Brunello Tirozzi
Restricted Boltzmann machines (RBMs) constitute one of the main models for machine statistical inference and they are widely employed in Artificial Intelligence as powerful tools f…
Complex Reaction Kinetics in Chemistry: A unified picture suggested by Mechanics in Physics
Elena Agliari, Adriano Barra, Giulio Landolfi +2
Complex biochemical pathways or regulatory enzyme kinetics can be reduced to chains of elementary reactions, which can be described in terms of chemical kinetics. This discipline p…