2 papers
math.ST2026
Hamiltonian dynamics for sampling on discrete spaces
Raphaël Barboni, Sebastiano Grazzi, Giacomo Zanella
We develop a general class of non-reversible Hamiltonian Monte Carlo dynamics on discrete state spaces. The method augments the discrete state with a continuous momentum variable a…
cs.LG2024
Understanding the training of infinitely deep and wide ResNets with Conditional Optimal Transport
Raphaël Barboni, Gabriel Peyré, François-Xavier Vialard
We study the convergence of gradient flow for the training of deep neural networks. If Residual Neural Networks are a popular example of very deep architectures, their training con…