48 citations · 170 across the 25 of their papers we have counts for
3 papers · 1 filter
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…
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…
A spectral approach to Hebbian-like neural networks
Elena Agliari, Domenico Luongo, Alberto Fachechi
We consider the Hopfield neural network as a model of associative memory and we define its neuronal interaction matrix as a function of a set of binary ve…