34 citations · 40 across the 3 of their papers we have counts for
7 papers
A polynomially accelerated fixed-point iteration for vector problems
Francesco Alemanno
Fixed-point solvers are ubiquitous in nonlinear PDEs, yet their progress collapses whenever the Jacobian at the solution carries an eigenvalue arbitrarily close to one. We ask whet…
The emergence of a concept in shallow neural networks
Elena Agliari, Francesco Alemanno, Adriano Barra +1
We consider restricted Boltzmann machine (RBMs) trained over an unstructured dataset made of blurred copies of definite but unavailable ``archetypes'' and we show that there exists…
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…