16 citations · 28 across the 7 of their papers we have counts for
8 papers
Storage and Learning phase transitions in the Random-Features Hopfield Model
Matteo Negri, Clarissa Lauditi, Gabriele Perugini +2
The Hopfield model is a paradigmatic model of neural networks that has been analyzed for many decades in the statistical physics, neuroscience, and machine learning communities. In…
Low-power multi-mode fiber projector overcomes shallow neural networks classifiers
Daniele Ancora, Matteo Negri, Antonio Gianfrate +5
In the domain of disordered photonics, the characterization of optically opaque materials for light manipulation and imaging is a primary aim. Among various complex devices, multi-…
Homogenization of Griffith's Criterion for brittle Laminates
Matteo Negri
We consider a periodic, linear elastic laminate with a brittle crack, evolving along a prescribed path according to Griffith's criterion. We study the homogenized limit of this evo…
Existence, energy identity and higher time regularity of solutions to a dynamic visco-elastic cohesive interface model
Matteo Negri, Riccardo Scala
We study the dynamics of visco-elastic materials coupled by a common cohesive interface (or, equivalently, {two single domains separated by} a prescribed cohesive crack) in the ant…
A quasi-static model for craquelure patterns
Matteo Negri
We consider the quasi-static evolution of a brittle layer on a stiff substrate; adhesion between layers is assumed to be elastic. Employing a phase-field approach we obtain the qua…
Weak solutions for gradient flows under monotonicity constraints
Matteo Negri, Masato Kimura
We consider the gradient flow of a quadratic non-autonomous energy under monotonicity constraint in time and natural regularity assumptions. We provide first a notion of weak solut…
-convergence for high order phase field fracture: continuum and isogeometric formulations
Matteo Negri
We consider second order phase field functionals, in the continuum setting, and their discretization with isogeometric tensor product B-splines. We prove that these functionals, co…
Analysis of staggered evolutions for nonlinear energies in phase field fracture
Stefano Almi, Matteo Negri
We consider a class of separately convex phase field energies employed in fracture mechanics, featuring non-interpenetration and a general softening behavior. We analyze the time-d…