Generalized entropy power inequalities and monotonicity properties of information M Madiman, A Barron IEEE Transactions on Information Theory 53 (7), 2317-2329, 2007 | 175 | 2007 |
Information inequalities for joint distributions, with interpretations and applications M Madiman, P Tetali Information Theory, IEEE Transactions on 56 (6), 2699-2713, 2010 | 138 | 2010 |
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 | 100 | 2011 |
Reverse Brunn–Minkowski and reverse entropy power inequalities for convex measures S Bobkov, M Madiman Journal of Functional Analysis 262 (7), 3309-3339, 2012 | 99 | 2012 |
On the entropy of sums M Madiman 2008 IEEE Information Theory Workshop, 303-307, 2008 | 97 | 2008 |
Forward and reverse entropy power inequalities in convex geometry M Madiman, J Melbourne, P Xu Convexity and concentration, 427-485, 2017 | 96 | 2017 |
Concentration of the information in data with log-concave distributions S Bobkov, M Madiman The Annals of Probability 39 (4), 1528-1543, 2011 | 89 | 2011 |
Beyond the entropy power inequality, via rearrangements L Wang, M Madiman IEEE Transactions on Information Theory 60 (9), 5116-5137, 2014 | 79 | 2014 |
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 | 73 | 2014 |
Optimal concentration of information content for log-concave densities M Fradelizi, M Madiman, L Wang High Dimensional Probability VII: The Cargèse Volume, 45-60, 2016 | 67 | 2016 |
Entropy and set cardinality inequalities for partition‐determined functions M Madiman, AW Marcus, P Tetali Random Structures & Algorithms, 2011 | 61 | 2011 |
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 | 52 | 2013 |
Entropy bounds on abelian groups and the Ruzsa divergence M Madiman, I Kontoyiannis IEEE Transactions on Information Theory 64 (1), 77-92, 2016 | 49* | 2016 |
On the problem of reversibility of the entropy power inequality SG Bobkov, MM Madiman Limit Theorems in Probability, Statistics and Number Theory: In Honor of …, 2013 | 47 | 2013 |
The convexification effect of Minkowski summation M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018 | 46* | 2018 |
Dimensional behaviour of entropy and information S Bobkov, M Madiman Comptes Rendus. Mathématique 349 (3-4), 201-204, 2011 | 46 | 2011 |
Compound Poisson approximation via information functionals AD Barbour, O Johnson, I Kontoyiannis, M Madiman | 42 | 2010 |
Rogozin's convolution inequality for locally compact groups M Madiman, J Melbourne, P Xu arXiv preprint arXiv:1705.00642, 2017 | 38* | 2017 |
Cores of cooperative games in information theory M Madiman EURASIP Journal on Wireless Communications and Networking 2008, 1-12, 2008 | 35 | 2008 |
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 | 34 | 2007 |