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Stability of Quadratically Regularized Optimal Transport

math.OC · 2026-05-27 · unverdicted · novelty 7.0

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.

Sinkhorn Treatment Effects: A Causal Optimal Transport Measure

stat.ML · 2026-05-08 · unverdicted · novelty 7.0

The Sinkhorn treatment effect is a new entropic optimal transport measure of divergence between counterfactual distributions that admits first- and second-order pathwise differentiability, debiased estimators, and asymptotically valid tests for distributional treatment effects.

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  • Stability of Quadratically Regularized Optimal Transport math.OC · 2026-05-27 · unverdicted · none · ref 5

    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.