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math.OC2021★ 25 cited
Asymptotics for semi-discrete entropic optimal transport
Jason M. Altschuler, Jonathan Niles-Weed, Austin J. Stromme
We compute exact second-order asymptotics for the cost of an optimal solution to the entropic optimal transport problem in the continuous-to-discrete, or semi-discrete, setting. In…
math.OC2021★ 5 cited
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
Jason M. Altschuler, Sinho Chewi, Patrik Gerber +1
We study first-order optimization algorithms for computing the barycenter of Gaussian distributions with respect to the optimal transport metric. Although the objective is geodesic…