2 citations · 2 across the 5 of their papers we have counts for
5 papers
Entropic transfer operators for stochastic systems
Hancheng Bi, Clément Sarrazin, Bernhard Schmitzer +1
Dynamical systems can be analyzed via their Frobenius-Perron transfer operator and its estimation from data is an active field of research. Recently entropic transfer operators hav…
Transfer Operators from Batches of Unpaired Points via Entropic Transport Kernels
Florian Beier, Hancheng Bi, Clément Sarrazin +2
In this paper, we are concerned with estimating the joint probability of random variables and , given independent observation blocks $(\boldsymbol{x}^i,\boldsymbol{y}^i)…
Linearized optimal transport on manifolds
Clément Sarrazin, Bernhard Schmitzer
Optimal transport is a geometrically intuitive, robust and flexible metric for sample comparison in data analysis and machine learning. Its formal Riemannian structure allows for a…
Non-asymptotic convergence bounds for Wasserstein approximation using point clouds
Quentin Merigot, Filippo Santambrogio, Clément Sarrazin
Several issues in machine learning and inverse problems require to generate discrete data, as if sampled from a model probability distribution. A common way to do so relies on the…
Lagrangian discretization of variational mean field games
Clément Sarrazin
In this article, we introduce a method to approximate solutions of some variational mean field game problems with congestion, by finite sets of player trajectories. These trajector…