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Oct, 2023
自适应正则化的最优输运
Optimal Transport with Adaptive Regularisation
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Hugues Van Assel, Titouan Vayer, Remi Flamary, Nicolas Courty
TL;DR
优化输运的原始表述引入了严格凸项以减少数值复杂度和增加输运计划的密度。然而，许多公式在输运计划上施加了全局约束，例如依赖于熵正则化。我们引入自适应正则化优化输运（OTARI），它对每个点的质量流入和/或流出施加约束，从而减少了质量均衡问题。我们展示了该方法在领域适应中的益处。
Abstract
Regularising the primal formulation of
optimal transport
(OT) with a strictly convex term leads to enhanced numerical complexity and a denser transport plan. Many formulations impose a
global constraint
on the tr
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