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We study the convergence of entropically regularized optimal transport to optimal transport.
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Optimal control for absolutely continuous stochastic processes and the mass transportation problem
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Monge’s problem with a quadratic cost by the zero-noise limit of h h -path processes
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Regularity of potential functions of the optimal transportation problem
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On the regularity of solutions of optimal transportation problems
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S. Bartz and S. Reich · 2012
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Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures
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An explicit analysis of the entropic penalty in linear programming
J. Weed · 2018
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Regularity of monotone transport maps between unbounded domains
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Differentiable ranking and sorting using optimal transport
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Multivariate rank-based distribution-free nonparametric testing using measure transportation
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A survey of the Schrödinger problem and some of its connections with optimal transport
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Iterative Bregman projections for regularized transportation problems
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From large deviations to Wasserstein gradient flows in multiple dimensions
M. Erbar, J. Maas, and D. R. M. Renger · 2015
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On a problem of optimal transport under marginal martingale constraints
M. Beiglböck and N. Juillet · 2016
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On efficient optimal transport: An analysis of greedy and accelerated mirror descent algorithms
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Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem
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On the difference between entropic cost and the optimal transport cost
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Computational optimal transport: With applications to data science
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Minimizing relative entropy of path measures under marginal constraints
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The Sinkhorn algorithm, parabolic optimal transport and geometric Monge-Ampère equations
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Long-time behaviour of entropic interpolations
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A non-linear monotonicity principle and application to the Schrödinger problem
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Distribution and quantile functions, ranks and signs in dimension d d : A measure transportation approach
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Second order differentiation formula on RCD ∗ ( K , N ) {\mathrm{RCD}}^{*}(K,N) spaces
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Introduction to Entropic Optimal Transport
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