33 citations · 58 across the 8 of their papers we have counts for
4 papers · 1 filter
Regularized unbalanced optimal transport as entropy minimization with respect to branching Brownian motion
Aymeric Baradat, Hugo Lavenant
We consider the problem of minimizing the entropy of a law with respect to the law of a reference branching Brownian motion under density constraints at an initial and final time.…
A Wasserstein index of dependence for random measures
Marta Catalano, Hugo Lavenant, Antonio Lijoi +1
Optimal transport and Wasserstein distances are flourishing in many scientific fields as a means for comparing and connecting random structures. Here we pioneer the use of an optim…
Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps
Hugo Lavenant, Léonard Monsaingeon, Luca Tamanini +1
If is a harmonic map valued in a metric space and is a convex function, in the sense that it ge…
Towards a mathematical theory of trajectory inference
Hugo Lavenant, Stephen Zhang, Young-Heon Kim +1
We devise a theoretical framework and a numerical method to infer trajectories of a stochastic process from samples of its temporal marginals. This problem arises in the analysis o…