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Quantitative Stability in Quadratic Optimal Transport

 Alex Delalande
Optimization and Control [math.OC]. Université Paris-Saclay, 2022. English. ⟨NNT : 2022UPASM044⟩
Thèse tel-03935445v1

Quantitative stability of optimal transport maps and linearization of the 2-Wasserstein space

 Quentin Merigot , Alex Delalande , Frédéric Chazal
AISTATS 2020 - 23rd International Conference on Artificial Intelligence and Statistics, Aug 2020, Palermo /Online, Italy. pp.3186-3196
Communication dans un congrès hal-02315998v1
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Quantitative Stability of Optimal Transport Maps under Variations of the Target Measure

 Alex Delalande , Quentin Merigot
Duke Mathematical Journal, 2023
Article dans une revue hal-03164147v2
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Nearly Tight Convergence Bounds for Semi-discrete Entropic Optimal Transport

 Alex Delalande
AISTATS 2022 - 25th International Conference on Artificial Intelligence and Statistics, Mar 2022, Valencia / Virtual, Spain. pp.1619-1642
Communication dans un congrès hal-03396206v2
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Quantitative Stability of the Pushforward Operation by an Optimal Transport Map

 Guillaume Carlier , Alex Delalande , Quentin Mérigot
2023
Pré-publication, Document de travail hal-04368103v1
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Quantitative Stability of Barycenters in the Wasserstein Space

 Guillaume Carlier , Alex Delalande , Quentin Merigot
Probability Theory and Related Fields, 2023, ⟨10.1007/s00440-023-01241-5⟩
Article dans une revue hal-03781835v2
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