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We establish the stability of solutions to the entropically regularized optimal transport problem with respect to the marginals and the cost function.
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Probability measures on metric spaces
K. R. Parthasarathy · 1967
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I I -divergence geometry of probability distributions and minimization problems
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Entropy minimization, D A D DAD problems, and doubly stochastic kernels
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Entropy minimization and Schrödinger processes in infinite dimensions
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The earth mover’s distance as a metric for image retrieval
Y. Rubner, C. Tomasi, and L. J. Guibas · 2000
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Lectures on analysis on metric spaces
J. Heinonen · 2001
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Optimal control for absolutely continuous stochastic processes and the mass transportation problem
T. Mikami · 2002
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Monge’s problem with a quadratic cost by the zero-noise limit of h h -path processes
T. Mikami · 2004
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Optimal and better transport plans
M. Beiglböck, M. Goldstern, G. Maresch, and W. Schachermayer · 2009
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Optimal transport, old and new
C. Villani · 2009
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Differentiable ranking and sorting using optimal transport
M. Cuturi, O. Teboul, and J.-P. Vert · 2019
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Multivariate rank-based distribution-free nonparametric testing using measure transportation
N. Deb and B. Sen · 2019
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Revisiting Fortet’s proof of existence of a solution to the Schrödinger system
C. Léonard · 2019
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Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem
G. Mena and J. Niles-Weed · 2019
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On the difference between entropic cost and the optimal transport cost
S. Pal · 2019
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