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Inequalities in information theory

Known as: Information-theoretic inequalities, Tao's inequality 
Inequalities are very important in the study of information theory. There are a number of different contexts in which these inequalities appear.
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Papers overview

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2018
2018
We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the… 
2016
2016
The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape… 
Review
2013
Review
2013
Concentration inequalities have been the subject of exciting developments during the last two decades, and have been intensively… 
2012
2012
A new notion of partition‐determined functions is introduced, and several basic inequalities are developed for the entropies of… 
2010
2010
Two-dimensional magnetic recording (TDMR) differs from traditional track recording in that the bit-size-to-grain-size ratio is… 
2007
2007
Claude Elwood Shannon in 1948, then of the Bell Labs, published one of the ground breaking papers in the history of engineering… 
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… 
1984
1984
It is known that the maximum entropy stationary Gaussian stochastic process, subject to a finite number of autocorrelation…