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.
Stabilized sparse scaling algorithms for entropy regularized transport problems.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.