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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… 
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
  • T. Courtade
  • IEEE Transactions on Information Theory
  • 2018
  • Corpus ID: 3988506
When one of the random summands is Gaussian, we sharpen the entropy power inequality (EPI) in terms of the strong data processing… 
2017
2017
An extension of the entropy power inequality to the form <inline-formula> <tex-math notation="LaTeX">$N_{r}^\alpha (X+Y) \geq N_… 
Review
2016
Review
2016
The entropy power inequality, which plays a fundamental role in information theory and probability, may be seen as an analogue of… 
2016
2016
  • E. Ram, I. Sason
  • IEEE Transactions on Information Theory
  • 2016
  • Corpus ID: 206985119
This paper gives improved Rényi entropy power inequalities (R-EPIs). Consider a sum S<sub>n</sub> = Σ<sub>k=1</sub><sup>n</sup… 
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Highly Cited
2015
Highly Cited
2015
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the… 
Highly Cited
2014
Highly Cited
2014
When two independent analog signals, X and Y are added together giving Z=X+Y, the entropy of Z, H(Z), is not a simple function of… 
Highly Cited
2011
Highly Cited
2011
  • O. Rioul
  • IEEE Transactions on Information Theory
  • 2011
  • Corpus ID: 2764882
While most useful information theoretic inequalities can be deduced from the basic properties of entropy or mutual information… 
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Review
1991
Review
1991
Preface to the Second Edition. Preface to the First Edition. Acknowledgments for the Second Edition. Acknowledgments for the… 
Review
1991
Review
1991
The role of inequalities in information theory is reviewed, and the relationship of these inequalities to inequalities in other… 
Highly Cited
1985
Highly Cited
1985
A strengthened version of Shannon's entropy power inequality for the case where one of the random vectors involved is Gaussian is…