Entropy and set cardinality inequalities for partition-determined functions (original) (raw)
Related papers
Corr, 2009
2008 IEEE Information Theory Workshop, 2008
An axiomatization of generalized entropy of partitions
Proceedings 31st IEEE International Symposium on Multiple-Valued Logic, 2001
An axiomatization of partition entropy
IEEE Transactions on Information Theory, 2002
On Defining Partition Entropy by Inequalities
IEEE Transactions on Information Theory, 2000
Entropy bounds on abelian groups and the Ruzsa divergence
IEEE Transactions on Information Theory, 2016
An Analytic Approach to Cardinalities of Sumsets
Combinatorica, 2022
Sumset and Inverse Sumset Inequalities for Differential Entropy and Mutual Information
2012
Sumset inequalities for differential entropy and mutual information
2012 IEEE International Symposium on Information Theory Proceedings, 2012
Entropy Inequalities for Sums in Prime Cyclic Groups
SIAM Journal on Discrete Mathematics, 2021
Applied Sciences, 2010
A note on the Entropy/Influence conjecture
Discrete Mathematics, 2012
G R ] 3 M ay 2 01 6 Entropy on abelian groups ∗
2018
Studia Mathematica, 2022
A New Entropy Power Inequality for Integer-Valued Random Variables
IEEE Transactions on Information Theory, 2014
Entropy Inequalities for Lattices
2018
On a characterization of α-entropy
Information Sciences, 1982
The entropy influence conjecture revisited, arXiv:1110.4301v2 [math.CO
2011
On characterization of entropy function via information inequalities
IEEE Transactions on Information Theory, 1998
Entropy of capacities on lattices and set systems
Information Sciences, 2006
Information-theoretic inequalities in additive combinatorics
IEEE Information Theory Workshop 2010 (ITW 2010), 2010
The Entropy Influence Conjecture Revisited
2011
On the entropy of Zd subshifts of finite type
Linear Algebra and its Applications, 1997
Advances in Mathematics, 2016
New Generalized Measure of Entropy of Order α and type β and Its Coding Theorems
2016
Two Remarks on Generalized Entropy Power Inequalities
Lecture Notes in Mathematics, 2020
The entropy power of a sum is fractionally superadditive
Farhad Ghassemi, Mokshay Madiman
2009 IEEE International Symposium on Information Theory, 2009
Some applications of algebraic entropy to the proof of Milnor-Wolf theorem
Communications in Algebra, 2019
Generalizations of Khovanskiĭ's theorems on the growth of sumsets in Abelian semigroups
Advances in Applied Mathematics, 2008
Meinardus' theorem on weighted partitions: Extensions and a probabilistic proof
Advances in Applied Mathematics, 2008
A generalization of the entropy power inequality with applications
IEEE Transactions on Information Theory, 1993
Algebraic entropy for Abelian groups
Brendan Goldsmith, Dikran Dikranjan
Transactions of the American Mathematical Society, 2009
Combinatorial Entropy Power Inequalities: A Preliminary Study of the Stam Region
IEEE Transactions on Information Theory, 2019