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arXiv · 2502.00084

A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting

Pablo López-Rivera
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Abstract

We bound the rate of uniform convergence in compact sets for both entropic potentials and their gradients towards the Brenier potential and its gradient, respectively. Both results hold in the quadratic Euclidean setting for absolutely continuous measures satisfying some convexity assumptions.

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Pablo López-Rivera. 2025-01-31. A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting. https://arxiv.org/abs/2502.00084

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