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math.PR2021★ 4 cited
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.…
math.PR2020★ 6 cited
Minimizing relative entropy of path measures under marginal constraints
Aymeric Baradat, Christian Léonard
We study generalizations of the Schrödinger problem in statistical mechanics in two directions: when the density is constrained at more than two times, and when the joint law of th…