4 citations · 6 across the 4 of their papers we have counts for
10 papers
On the variational interpretation of local logarithmic Sobolev inequalities
Gauthier Clerc, Giovanni Conforti, Ivan Gentil
The celebrated Otto calculus has established itself as a powerful tool for proving quantitative energy dissipation estimates and provides with an elegant geometric interpretation o…
A probabilistic approach to convex -entropy decay for Markov chains
Giovanni Conforti
We study the exponential dissipation of entropic functionals for continuous time Markov chains and the associated convex Sobolev inequalities, including MLSI and Beckner inequaliti…
Game on Random Environment, Mean-field Langevin System and Neural Networks
Giovanni Conforti, Anna Kazeykina, Zhenjie Ren
In this paper we study a type of games regularized by the relative entropy, where the players' strategies are coupled through a random environment variable. Besides the existence a…
A formula for the time derivative of the entropic cost and applications
Giovanni Conforti, Luca Tamanini
In the recent years the Schrödinger problem has gained a lot of attention because of the connection, in the small-noise regime, with the Monge-Kantorovich optimal transport problem…
The mean field Schrödinger problem: ergodic behavior, entropy estimates and functional inequalities
Julio Backhoff-Veraguas, Giovani Conforti, Ivan Gentil +1
We study the mean field Schrödinger problem (MFSP), that is the problem of finding the most likely evolution of a cloud of interacting Brownian particles conditionally on the obser…
Multi-marginal Schrodinger bridges
Yongxin Chen, Giovanni Conforti, Tryphon T. Georgiou +1
We consider the problem to identify the most likely flow in phase space, of (inertial) particles under stochastic forcing, that is in agreement with spatial (marginal) distribution…