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 S
3 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 3representative citing papers
A new constrained gradient flow on the space of transport maps converges to the OT map and enables more stable and accurate training of convexity-constrained neural networks for learning Monge maps.
A mathematical review of flow matching techniques for generative models, showing characterizations via couplings, kernels, and processes, with application to inverse problems.
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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Learning Monge maps with constrained drifting models
A new constrained gradient flow on the space of transport maps converges to the OT map and enables more stable and accurate training of convexity-constrained neural networks for learning Monge maps.
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Flow Matching: Markov Kernels, Stochastic Processes and Transport Plans
A mathematical review of flow matching techniques for generative models, showing characterizations via couplings, kernels, and processes, with application to inverse problems.