39 citations · 72 across the 8 of their papers we have counts for
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cs.IT2012
On the Non-robustness of Essentially Conditional Information Inequalities
Tarik Kaced, Andrei Romashchenko
We show that two essentially conditional linear inequalities for Shannon's entropies (including the Zhang-Yeung'97 conditional inequality) do not hold for asymptotically entropic p…
cs.IT2012★ 21 cited
Conditional Information Inequalities for Entropic and Almost Entropic Points
Tarik Kaced, Andrei Romashchenko
We study conditional linear information inequalities, i.e., linear inequalities for Shannon entropy that hold for distributions whose entropies meet some linear constraints. We pro…
cs.IT2012★ 1 cited
Conditional and unconditional information inequalities: an algebraic example
Tarik Kaced, Andrei Romashchenko
We provide a simple example showing that some conditional information inequalities (even in a weak form) cannot be derived from unconditional inequalities.