34 citations · 52 across the 5 of their papers we have counts for
11 papers
PDE/statistical mechanics duality: relation between Guerra's interpolated -spin ferromagnets and the Burgers hierarchy
Alberto Fachechi
We examine the duality relating the equilibrium dynamics of the mean-field -spin ferromagnets at finite size in the Guerra's interpolation scheme and the Burgers hierarchy. In p…
The relativistic Hopfield model with correlated patterns
Elena Agliari, Alberto Fachechi, Chiara Marullo
In this work we introduce and investigate the properties of the "relativistic" Hopfield model endowed with temporally correlated patterns. First, we review the "relativistic" Hopfi…
Interpolating between boolean and extremely high noisy patterns through Minimal Dense Associative Memories
Francesco Alemanno, Martino Centonze, Alberto Fachechi
Recently, Hopfield and Krotov introduced the concept of {\em dense associative memories} [DAM] (close to spin-glasses with -wise interactions in a disordered statistical mechani…
Neural networks with redundant representation: detecting the undetectable
Elena Agliari, Francesco Alemanno, Adriano Barra +2
We consider a three-layer Sejnowski machine and show that features learnt via contrastive divergence have a dual representation as patterns in a dense associative memory of order P…
Generalized Guerra's interpolation schemes for dense associative neural networks
Elena Agliari, Francesco Alemanno, Adriano Barra +1
In this work we develop analytical techniques to investigate a broad class of associative neural networks set in the high-storage regime. These techniques translate the original st…
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…