A debiased Bures-Wasserstein estimator and a matrix-completion based estimator for entropic optimal transport are consistent under heterogeneous MCAR missingness.
The statistical effect of entropic regularization in optimal transportation
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abstract
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.
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Optimal Transport with Heterogeneously Missing Data
A debiased Bures-Wasserstein estimator and a matrix-completion based estimator for entropic optimal transport are consistent under heterogeneous MCAR missingness.