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Mokshay Madiman
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Generalized entropy power inequalities and monotonicity properties of information
M Madiman, A Barron
IEEE Transactions on Information Theory 53 (7), 2317-2329, 2007
1522007
Information inequalities for joint distributions, with interpretations and applications
M Madiman, P Tetali
Information Theory, IEEE Transactions on 56 (6), 2699-2713, 2010
1262010
The entropy per coordinate of a random vector is highly constrained under convexity conditions
S Bobkov, M Madiman
IEEE Transactions on Information Theory 57 (8), 4940-4954, 2011
862011
Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures
S Bobkov, M Madiman
Journal of Functional Analysis 262 (7), 3309-3339, 2012
822012
On the entropy of sums
M Madiman
2008 IEEE Information Theory Workshop, 303-307, 2008
782008
Forward and reverse entropy power inequalities in convex geometry
M Madiman, J Melbourne, P Xu
Convexity and concentration, 427-485, 2017
742017
Concentration of the information in data with log-concave distributions
S Bobkov, M Madiman
The Annals of Probability 39 (4), 1528-1543, 2011
732011
Beyond the entropy power inequality, via rearrangements
L Wang, M Madiman
IEEE Transactions on Information Theory 60 (9), 5116-5137, 2014
712014
Sumset and inverse sumset inequalities for differential entropy and mutual information
I Kontoyiannis, M Madiman
IEEE transactions on information theory 60 (8), 4503-4514, 2014
582014
Entropy and set cardinality inequalities for partition‐determined functions
M Madiman, AW Marcus, P Tetali
Random Structures & Algorithms, 2011
56*2011
Optimal concentration of information content for log-concave densities
M Fradelizi, M Madiman, L Wang
High dimensional probability VII, 45-60, 2016
462016
On the problem of reversibility of the entropy power inequality
SG Bobkov, MM Madiman
Limit theorems in probability, statistics and number theory, 61-74, 2013
452013
Entropy bounds on abelian groups and the Ruzsa divergence
M Madiman, I Kontoyiannis
IEEE Transactions on Information Theory 64 (1), 77-92, 2016
40*2016
Log-concavity, ultra-log-concavity, and a maximum entropy property of discrete compound Poisson measures
O Johnson, I Kontoyiannis, M Madiman
Discrete Applied Mathematics 161 (9), 1232-1250, 2013
402013
Compound Poisson approximation via information functionals
AD Barbour, O Johnson, I Kontoyiannis, M Madiman
Electronic Journal of Probability 15, 1344-1369, 2010
372010
Dimensional behaviour of entropy and information
S Bobkov, M Madiman
Comptes Rendus Mathematique 349 (3-4), 201-204, 2011
362011
Cores of cooperative games in information theory
M Madiman
EURASIP Journal on Wireless Communications and Networking 2008, 1-12, 2008
352008
Rogozin's convolution inequality for locally compact groups
M Madiman, J Melbourne, P Xu
arXiv preprint arXiv:1705.00642, 2017
33*2017
Fisher Information, compound Poisson approximation, and the Poisson channel
M Madiman, O Johnson, I Kontoyiannis
2007 IEEE International Symposium on Information Theory, 976-980, 2007
292007
The convexification effect of Minkowski summation
M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch
EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018
28*2018
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