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.
González-Sanz and M
4 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 4representative citing papers
Establishes a general lower bound of order ε^{1/(d+2)} on the localization rate of QOT optimizers around the Monge coupling in directed Hausdorff distance, with sharper affine-case tube bounds.
Establishes linear L2 convergence of dual gradient descent for quadratically regularized OT via spectral analysis showing the linearized operator is a strict contraction.
Proves local error bound and PL inequality for QOT dual with explicit constants, enabling linear convergence of ascent methods.
citing papers explorer
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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.
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Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis
Establishes a general lower bound of order ε^{1/(d+2)} on the localization rate of QOT optimizers around the Monge coupling in directed Hausdorff distance, with sharper affine-case tube bounds.
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Linear Convergence of Gradient Descent for Quadratically Regularized Optimal Transport
Establishes linear L2 convergence of dual gradient descent for quadratically regularized OT via spectral analysis showing the linearized operator is a strict contraction.
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Polyak-Lojasiewicz Inequality for Quadratically Regularized Optimal Transport
Proves local error bound and PL inequality for QOT dual with explicit constants, enabling linear convergence of ascent methods.