48 citations · 56 across the 13 of their papers we have counts for
4 papers · 1 filter
Kernel Density Estimators in Large Dimensions
Giulio Biroli, Marc Mézard
This paper studies Kernel Density Estimation for a high-dimensional distribution . Traditional approaches have focused on the limit of large number of data points and fix…
Cascade of phase transitions in the training of Energy-based models
Dimitrios Bachtis, Giulio Biroli, Aurélien Decelle +1
In this paper, we investigate the feature encoding process in a prototypical energy-based generative model, the Restricted Boltzmann Machine (RBM). We start with an analytical inve…
The Role of the Time-Dependent Hessian in High-Dimensional Optimization
Tony Bonnaire, Giulio Biroli, Chiara Cammarota
Gradient descent is commonly used to find minima in rough landscapes, particularly in recent machine learning applications. However, a theoretical understanding of why good solutio…
Dynamical Regimes of Diffusion Models
Giulio Biroli, Tony Bonnaire, Valentin de Bortoli +1
Using statistical physics methods, we study generative diffusion models in the regime where the dimension of space and the number of data are large, and the score function has been…