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Entropy power inequality
Known as:
EPI
In mathematics, the entropy power inequality is a result in information theory that relates to so-called "entropy power" of random variables. It…
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Related topics
Related topics
11 relations
A Mathematical Theory of Communication
Conditional entropy
Differential entropy
Entropy (information theory)
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Broader (1)
Information theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2020
2020
Entropy Power Inequality in Fermionic Quantum Computation
N. Aza
,
T. D.A.Barbosa
arXiv.org
2020
Corpus ID: 221112498
We study quantum computation relations on unital finite-dimensional CAR $C^{*}$-algebras. We prove an entropy power inequality…
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2018
2018
New Connections Between the Entropy Power Inequality and Geometric Inequalities
Arnaud Marsiglietti
,
V. Kostina
International Symposium on Information Theory
2018
Corpus ID: 52021178
The entropy power inequality (EPI) has a fundamental role in Information Theory, and has deep connections with famous geometric…
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2018
2018
Universal upper bounds for Gaussian information capacity
Kabgyun Jeong
,
Hun Hee Lee
,
Youngrong Lim
Annals of Physics
2018
Corpus ID: 119337701
2017
2017
Infinity-Rényi entropy power inequalities
Peng Xu
,
J. Melbourne
,
M. Madiman
International Symposium on Information Theory
2017
Corpus ID: 298139
An optimal ∞-Rényi entropy power inequality is derived for d-dimensional random vectors. In fact, the authors establish a matrix…
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2017
2017
Conditional quantum entropy power inequality for d-level quantum systems
Kabgyun Jeong
,
Soojoon Lee
,
Hyunseok Jeong
2017
Corpus ID: 54071886
We propose an extension of the quantum entropy power inequality for finite dimensional quantum systems, and prove a conditional…
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2017
2017
A min-entropy power inequality for groups
Peng Xu
,
J. Melbourne
,
M. Madiman
International Symposium on Information Theory
2017
Corpus ID: 43637426
We develop a general notion of rearrangement for certain metric groups, and prove a Hardy-Littlewood type inequality. Combining…
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2016
2016
Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities
T. Courtade
,
M. Fathi
,
A. Pananjady
arXiv.org
2016
Corpus ID: 5871821
We establish quantitative stability results for the entropy power inequality (EPI). Specifically, we show that if uniformly log…
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2012
2012
An Alternative Proof of an Extremal Entropy Inequality
Sangwoo Park
,
E. Serpedin
,
K. Qaraqe
2012
Corpus ID: 6288680
This paper first focuses on deriving an alternative approach for proving an extremal entropy inequality (EEI), originally…
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2012
2012
Heat equation and the sharp Young's inequality
Toscani Giuseppe
2012
Corpus ID: 55162492
We show that the sharp Young’s inequality for convolutions first obtained by Bechner [2] and Brascamp-Lieb [7] can be derived…
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2010
2010
It's Easier to Approximate
David Tse
2010
Corpus ID: 18002311
Shannon provided an exact characterization of the fundamental limits of point-to-point communication. After almost 40 years of…
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