Establishes L^∞-stability of dual potentials in QOT, yielding local Lipschitz stability of the optimal coupling support in Hausdorff distance for quadratic cost under marginal perturbations.
Quadratically regularized optimal transport: existence and multiplicity of po- tentials.SIAM J
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Stability of Quadratically Regularized Optimal Transport
Establishes L^∞-stability of dual potentials in QOT, yielding local Lipschitz stability of the optimal coupling support in Hausdorff distance for quadratic cost under marginal perturbations.