2000 character limit reached
On the Non-robustness of Essentially Conditional Information Inequalities (1207.5458v1)
Published 23 Jul 2012 in cs.IT, math.IT, and math.PR
Abstract: 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 points. This means that these inequalities are non-robust in a very strong sense. This result raises the question of the meaning of these inequalities and the validity of their use in practice-oriented applications.
Collections
Sign up for free to add this paper to one or more collections.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
