4 papers
On Han- and Shearer-Type Information Inequalities: Equality Conditions and Combinatorial Applications
Gunank Jakhar, Gowtham R. Kurri, Suryajith Chillara +1
Madiman and Tetali established strong and weak fractional inequalities that subsume classical entropy subset inequalities such as Han's inequality and Shearer's lemma. In this work…
Conditioning Strengthens Classical Entropy and Matrix Inequalities: A Submodular Approach
Gunank Jakhar, Gowtham R. Kurri, Suryajith Chillara +1
Dembo, Cover, and Thomas (1991) developed an elegant information-theoretic framework for proving determinantal inequalities for positive definite matrices, which relies on the stru…
Generalized Information Inequalities via Submodularity, and Two Combinatorial Problems
Gunank Jakhar, Gowtham R. Kurri, Suryajith Chillara +1
It is well known that there is a strong connection between entropy inequalities and submodularity, since the entropy of a collection of random variables is a submodular function. U…
Fractional Subadditivity of Submodular Functions: Equality Conditions and Their Applications
Gunank Jakhar, Gowtham R. Kurri, Suryajith Chillara +1
Submodular functions are known to satisfy various forms of fractional subadditivity. This work investigates the conditions for equality to hold exactly or approximately in the frac…