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20212026
most citedConvergence Rates of Gradient Methods for Convex Optimization in the Space of Measures

3 citations · 6 across the 9 of their papers we have counts for

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math.OC2022★ 2 cited

Displacement smoothness of entropic optimal transport

Guillaume Carlier, Lénaïc Chizat, Maxime Laborde

The function that maps a family of probability measures to the solution of the dual entropic optimal transport problem is known as the Schrödinger map. We prove that when the cost…

math.OC2022★ 1 cited

Mean-Field Langevin Dynamics: Exponential Convergence and Annealing

Lénaïc Chizat

Noisy particle gradient descent (NPGD) is an algorithm to minimize convex functions over the space of measures that include an entropy term. In the many-particle limit, this algori…