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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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Related topics
Related topics
16 relations
Conditional mutual information
Convex cone
Convex conjugate
Differential entropy
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Broader (1)
Information theory
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
The conditional Entropy Power Inequality for quantum additive noise channels
G. Palma
,
Stefan Huber
Journal of Mathematical Physics
2018
Corpus ID: 3650200
We prove the quantum conditional Entropy Power Inequality for quantum additive noise channels. This inequality lower bounds the…
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2016
2016
Entropy Region and Convolution
F. Matús
,
L. Csirmaz
IEEE Transactions on Information Theory
2016
Corpus ID: 14861744
The entropy region is constructed from vectors of random variables by collecting Shannon entropies of all subvectors. Its shape…
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Review
2013
Review
2013
Concentration of Measure Inequalities in Information Theory, Communications, and Coding
M. Raginsky
,
I. Sason
Found. Trends Commun. Inf. Theory
2013
Corpus ID: 9358694
Concentration inequalities have been the subject of exciting developments during the last two decades, and have been intensively…
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2012
2012
Entropy and set cardinality inequalities for partition‐determined functions
M. Madiman
,
A. Marcus
,
P. Tetali
Random Struct. Algorithms
2012
Corpus ID: 306323
A new notion of partition‐determined functions is introduced, and several basic inequalities are developed for the entropies of…
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2010
2010
Channel Modeling and Capacity Bounds for Two-Dimensional Magnetic Recording
A. Kavcic
,
Xiujie Huang
,
B. Vasic
,
W. Ryan
,
M. F. Erden
IEEE Transactions on Magnetics
2010
Corpus ID: 25334793
Two-dimensional magnetic recording (TDMR) differs from traditional track recording in that the bit-size-to-grain-size ratio is…
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2010
2010
Well-posed elliptic Neumann problems involving irregular data and domains
A. Alvino
,
A. Cianchi
,
V. Maz'ya
,
A. Mercaldo
2010
Corpus ID: 6775026
2007
2007
ON THE INEQUALITIES IN INFORMATION THEORY
R. Pulikkoonattu
2007
Corpus ID: 14302390
Claude Elwood Shannon in 1948, then of the Bell Labs, published one of the ground breaking papers in the history of engineering…
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Review
1991
Review
1991
Elements of Information Theory
T. Cover
,
Joy A. Thomas
1991
Corpus ID: 190432
Preface to the Second Edition. Preface to the First Edition. Acknowledgments for the Second Edition. Acknowledgments for the…
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Review
1991
Review
1991
Information theoretic inequalities
A. Dembo
,
T. Cover
,
Joy A. Thomas
IEEE Trans. Inf. Theory
1991
Corpus ID: 845669
The role of inequalities in information theory is reviewed, and the relationship of these inequalities to inequalities in other…
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1984
1984
An information-theoretic proof of Burg's maximum entropy spectrum
B. Choi
,
T. Cover
Proceedings of the IEEE
1984
Corpus ID: 12311279
It is known that the maximum entropy stationary Gaussian stochastic process, subject to a finite number of autocorrelation…
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