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For probability measures on countable spaces we derive distributional limits for empirical entropic optimal transport quantities.
Extension of range of functions
McShane, E. J. (1934) · 1934
Earlier work this paper cites.
On the translocation of masses
Kantorovich, L. (1958) · 1958
Earlier work this paper cites.
A relationship between arbitrary positive matrices and doubly stochastic matrices
Sinkhorn, R. (1964) · 1964
Earlier work this paper cites.
The theory of differentiation in linear topological spaces
Averbukh, V. I. & Smolyanov, O. G. (1967) · 1967
Earlier work this paper cites.
Diagonal equivalence to matrices with prescribed row and column sums
Sinkhorn, R. (1967) · 1967
Earlier work this paper cites.
Empirical processes, Vapnik-Chervonenkis classes and Poisson processes
Durst, M. & Dudley, R. M. (1980) · 1980
Earlier work this paper cites.
A new algorithm for the assignment problem
Bertsekas, D. P. (1981) · 1981
Earlier work this paper cites.
Some limit theorems for empirical distributions
Borisov, I. S. (1981) · 1981
Earlier work this paper cites.
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Borisov, I. S. (1983) · 1983
Earlier work this paper cites.
A faster strongly polynomial minimum cost flow algorithm
Orlin, J. (1988) · 1988
Earlier work this paper cites.
The auction algorithm for the transportation problem
Bertsekas, D. P. & Castanon, D. A. (1989) · 1989
Earlier work this paper cites.
Set-valued analysis
Aubin, J. & Frankowska, H. (1990) · 1990
Earlier work this paper cites.
Elements of information theory
Cover, T. & Thomas, J. (1991) · 1991
Earlier work this paper cites.
Asymptotic analysis of the exponential penalty trajectory in linear programming
Cominetti, R. & San Martín, J. (1994) · 1994
Earlier work this paper cites.
New donsker classes
Van der Vaart, A. W. (1996) · 1996
Earlier work this paper cites.
Weak convergence and empirical processes: With applications to statistics
Van der Vaart, A. W. & Wellner, J. A. (1996) · 1996
Earlier work this paper cites.
Asymptotic statistics
Van der Vaart, A. W. (1998) · 1998
Earlier work this paper cites.
Convergence of probability measures
Billingsley, P. (1999) · 1999
Earlier work this paper cites.
Convergence properties of functional estimates for discrete distributions
Antos, A. & Kontoyiannis, I. (2001) · 2001
Earlier work this paper cites.
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Villani, C. (2003) · 2003
Earlier work this paper cites.
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