The statistical effect of entropic regularization in optimal transportation
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Abstract (arXiv)
We propose to tackle the problem of understanding the effect of regularization in Sinkhorn algotihms. In the case of Gaussian distributions we provide a closed form for the regularized optimal transport which enables to provide a better understanding of the effect of the regularization from a statistical framework.
Key facts. Cited by 14 papers in the map (data through 7 Oct 2026). First posted on arXiv 9 Jun 2020.
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Citing papers per year: 2021: 6; 2022: 2; 2023: 4; 2024: 0; 2025: 2.
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- 2022The Schr"odinger Bridge between Gaussian Measures has a Closed Formcited by 63
- 2021Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descentcited by 32
- 2022An improved central limit theorem and fast convergence rates for entropic transportation costscited by 18
- 2023Lower Complexity Adaptation for Empirical Entropic Optimal Transportcited by 12
- 2023Energy-Guided Continuous Entropic Barycenter Estimation for General Costscited by 12
- 2023Doubly Regularized Entropic Wasserstein Barycenterscited by 10
- 2021Entropy Regularized Optimal Transport Independence Criterioncited by 9
- 2021Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settingscited by 3
- 2025Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean spacecited by 2
- 2021Estimating 2-Sinkhorn Divergence between Gaussian Processes from Finite-Dimensional Marginalscited by 1
- 2021Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processescited by 0
- 2021Estimation of Stationary Optimal Transport Planscited by 0
- 2025Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean space2 Jul 2025
- 2025Optimal Transport with Heterogeneously Missing Data22 May 2025
- 2023Energy-Guided Continuous Entropic Barycenter Estimation for General Costs2 Oct 2023
- 2023Computational Guarantees for Doubly Entropic Wasserstein Barycenters via Damped Sinkhorn Iterations25 Jul 2023
- 2023Lower Complexity Adaptation for Empirical Entropic Optimal Transport23 Jun 2023
- 2023Doubly Regularized Entropic Wasserstein Barycenters21 Mar 2023
- 2022An improved central limit theorem and fast convergence rates for entropic transportation costs19 Apr 2022
- 2022The Schr"odinger Bridge between Gaussian Measures has a Closed Form11 Feb 2022
- 2021Entropy Regularized Optimal Transport Independence Criterion31 Dec 2021
- 2021Estimation of Stationary Optimal Transport Plans25 Jul 2021
- 2021Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent16 Jun 2021
- 2021Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processes26 Apr 2021
- 2022The Schr"odinger Bridge between Gaussian Measures has a Closed Formcited by 63
- 2021Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descentcited by 32
- 2022An improved central limit theorem and fast convergence rates for entropic transportation costscited by 18
- 2023Lower Complexity Adaptation for Empirical Entropic Optimal Transportcited by 12
- 2023Energy-Guided Continuous Entropic Barycenter Estimation for General Costscited by 12
- 2023Doubly Regularized Entropic Wasserstein Barycenterscited by 10
- 2021Entropy Regularized Optimal Transport Independence Criterioncited by 9
- 2021Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settingscited by 3
- 2025Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean spacecited by 2
- 2021Estimating 2-Sinkhorn Divergence between Gaussian Processes from Finite-Dimensional Marginalscited by 1
- 2021Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processescited by 0
- 2021Estimation of Stationary Optimal Transport Planscited by 0
12 most cited of 14 All 14 (JSON)
- 2025Entropic optimal transport beyond product reference couplings: the Gaussian case on Euclidean space2 Jul 2025
- 2025Optimal Transport with Heterogeneously Missing Data22 May 2025
- 2023Energy-Guided Continuous Entropic Barycenter Estimation for General Costs2 Oct 2023
- 2023Computational Guarantees for Doubly Entropic Wasserstein Barycenters via Damped Sinkhorn Iterations25 Jul 2023
- 2023Lower Complexity Adaptation for Empirical Entropic Optimal Transport23 Jun 2023
- 2023Doubly Regularized Entropic Wasserstein Barycenters21 Mar 2023
- 2022An improved central limit theorem and fast convergence rates for entropic transportation costs19 Apr 2022
- 2022The Schr"odinger Bridge between Gaussian Measures has a Closed Form11 Feb 2022
- 2021Entropy Regularized Optimal Transport Independence Criterion31 Dec 2021
- 2021Estimation of Stationary Optimal Transport Plans25 Jul 2021
- 2021Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent16 Jun 2021
- 2021Finite sample approximations of exact and entropic Wasserstein distances between covariance operators and Gaussian processes26 Apr 2021
12 newest of 14 All 14 (JSON)