55 citations · 189 across the 17 of their papers we have counts for
4 papers · 1 filter
On the Impact of Overparameterization on the Training of a Shallow Neural Network in High Dimensions
Simon Martin, Francis Bach, Giulio Biroli
We study the training dynamics of a shallow neural network with quadratic activation functions and quadratic cost in a teacher-student setup. In line with previous works on the sam…
Shear-Induced Phase Behavior and Topological Defects in Two-Dimensional Crystals
Federico Ghimenti, Misaki Ozawa, Giulio Biroli +1
We investigate through numerical simulations how a two-dimensional crystal yields and flows under an applied shear. We focus over a range that allows us to both address the respons…
Far-from-equilibrium criticality in the Random Field Ising Model with Eshelby Interactions
Saverio Rossi, Giulio Biroli, Misaki Ozawa +1
We study a quasi-statically driven random field Ising model (RFIM) at zero temperature with interactions mediated by the long-range anisotropic Eshelby kernel. Analogously to amorp…
Interactions and migration rescuing ecological diversity
Giulia Garcia Lorenzana, Ada Altieri, Giulio Biroli
How diversity is maintained in natural ecosystems is a long-standing question in Theoretical Ecology. By studying a system that combines ecological dynamics, heterogeneous interact…