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We study the potential functions that determine the optimal density for $\varepsilon$-entropically regularized optimal transport, the so-called Schr\"odinger potentials, and their convergence to the counterparts in classical optimal transport, the Kantorovich potentials.
An automorphism of product measures
A Beurling · 1960
Earlier work this paper cites.
I I -divergence geometry of probability distributions and minimization problems
I. Csiszár · 1975
Earlier work this paper cites.
Random fields and diffusion processes
H. Föllmer · 1988
Earlier work this paper cites.
Decomposition of multivariate functions
J. M. Borwein and A. S. Lewis · 1992
Earlier work this paper cites.
Note on the Schrödinger equation and I I -projections
L. Rüschendorf and W. Thomsen · 1993
Earlier work this paper cites.
Entropy minimization, D A D DAD problems, and doubly stochastic kernels
J. M. Borwein, A. S. Lewis, and R. D. Nussbaum · 1994
Earlier work this paper cites.
Asymptotic analysis of the exponential penalty trajectory in linear programming
R. Cominetti and J. San Martín · 1994
Earlier work this paper cites.
Entropy minimization and Schrödinger processes in infinite dimensions
H. Föllmer and N. Gantert · 1997
Earlier work this paper cites.
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L. Rüschendorf and W. Thomsen · 1997
Earlier work this paper cites.
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S. Di Marino and A. Gerolin · 2020
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