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06/06/2023
Minimum intrinsic dimension scaling for entropic optimal transport
Motivated by the manifold hypothesis, which states that data with a high...
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06/27/2022
On the sample complexity of entropic optimal transport
We study the sample complexity of entropic optimal transport in high dim...
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06/22/2021
Asymptotics for semi-discrete entropic optimal transport
We compute exact second-order asymptotics for the cost of an optimal sol...
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06/16/2021
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
We study first-order optimization algorithms for computing the barycente...
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10/22/2020
Fast and Smooth Interpolation on Wasserstein Space
We propose a new method for smoothly interpolating probability measures ...
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01/06/2020
Gradient descent algorithms for Bures-Wasserstein barycenters
We study first order methods to compute the barycenter of a probability ...
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08/02/2019