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It is shown that under suitable regularity conditions, differential entropy is a Lipschitz functional on the space of distributions on $n$-dimensional Euclidean space with respect to the quadratic Wasserstein distance.
Definition of random variables by conditional distributions
R. L. Dobrushin · 1970
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A case where interference does not reduce capacity (corresp.)
A. Carleial · 1975
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A generalization of Ornstein’s d ¯ \bar{d} distance with applications to information theory
Robert M. Gray, David L. Neuhoff, and Paul C. Shields · 1975
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Spreading of sets in product spaces and hypercontraction of the Markov operator
R. Ahlswede and P. Gács · 1976
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On degraded Gaussian two-user channels (corresp.)
Hiroshi Sato · 1978
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The capacity of the Gaussian interference channel under strong interference (corresp.)
Hiroshi Sato · 1981
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A new entropy power inequality
Max H.M. Costa · 1985
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On the Gaussian interference channel
Max H.M. Costa · 1985
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A simple proof of the blowing-up lemma (corresp.)
Katalin Marton · 1986
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Transportation cost for Gaussian and other product measures
M. Talagrand · 1996
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Topics in optimal transportation
C. Villani · 2003
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Outer bounds on the capacity of Gaussian interference channels
Gerhard Kramer · 2004
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On achievable rate regions for the Gaussian interference channel
Igal Sason · 2004
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Mutual Information and Minimum Mean-Square Error in Gaussian Channels
D. Guo, S. Shamai (Shitz), and S. Verdú · 2005
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Universal quadratic lower bounds on source coding error exponents
C. Chang and A. Sahai · 2007
Cited alongside, same era.
Rényi information dimension: Fundamental limits of almost lossless analog compression
Yihong Wu and Sergio Verdú · 2010
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Concentration of measure inequalities in information theory, communications, and coding
Maxim Raginsky and Igal Sason · 2013
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The effect of maximal rate codes on the interfering message rate
Ronit Bustin, H Vincent Poor, and Shlomo Shamai · 2014
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Empirical distribution of good channel codes with non-vanishing error probability
Y. Polyanskiy and S. Verdú · 2014
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The effect of maximal rate codes on the interfering message rate
Ronit Bustin, H Vincent Poor, and Shlomo Shamai · 2015
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Optimal point-to-point codes in interference channels: An incremental I-MMSE approach
Ronit Bustin, H Vincent Poor, and Shlomo Shamai · 2015
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Information theory: coding theorems for discrete memoryless systems
Imre Csiszar and János Körner · 2011
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Noisebergs in Z-Gaussian interference channels
Max H. M. Costa · 2011
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Network information theory
Abbas El Gamal and Young-Han Kim · 2011
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Functional properties of MMSE and mutual information
Yihong Wu and Sergio Verdú · 2012
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From almost Gaussian to Gaussian: Bounding differences of differential entropies
Max H.M. Costa and Olivier Rioul · 2015
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Almost there – corner points of Gaussian interference channels
Olivier Rioul and Max H.M. Costa · 2015
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On the corner points of the capacity region of a two-user Gaussian interference channel
Igal Sason · 2015
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Yury Polyanskiy and Yihong Wu · 2016
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