12 citations · 48 across the 12 of their papers we have counts for
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math.OC2018
An entropy minimization approach to second-order variational mean-field games
Jean-David Benamou, Guillaume Carlier, Simone Di Marino +1
We propose a new viewpoint on variational mean-field games with diffusion and quadratic Hamiltonian. We show the equivalence of such mean-field games with a relative entropy minimi…
math.OC2018
Second order models for optimal transport and cubic splines on the Wasserstein space
Jean-David Benamou, Thomas Gallouët, François-Xavier Vialard
On the space of probability densities, we extend the Wasserstein geodesics to the case of higher-order interpolation such as cubic spline interpolation. After presenting the natura…