68 citations · 75 across the 12 of their papers we have counts for
3 papers · 1 filter
Convex geometry of diffusion laws and gradient flows for stochastic control
Yupeng Bai, Louis-Pierre Chaintron, Zhenjie Ren +1
We study gradient-type dynamics for weak stochastic control through the laws of controlled diffusions on path space. Although the objective is generally nonconvex in the drift, a u…
A Dacorogna-Moser construction of transport maps on with application to geodesics on the space of couplings
Louis-Pierre Chaintron, Matteo Picco
A seminal work by Dacorogna and Moser introduced a way of constructing regular transport maps from a probability distribution on a bounded domain to another one. In this work, we e…
ResNets of All Shapes and Sizes: Convergence of Training Dynamics in the Large-scale Limit
Louis-Pierre Chaintron, Lénaïc Chizat, Javier Maass
We establish convergence of the training dynamics of residual neural networks (ResNets) to their joint infinite depth L, hidden width M, and embedding dimension D limit. Specifical…