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.
Type de document :
Communication dans un congrès
ITW'12: Information Theory Workshop, Sep 2012, Switzerland. pp.1935-1939, 2012, 〈itw2012.epfl.ch/〉
https://hal-lirmm.ccsd.cnrs.fr/lirmm-00736192
Contributeur : Tarik Kaced
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Soumis le : jeudi 27 septembre 2012 - 17:12:20
Dernière modification le : jeudi 24 mai 2018 - 15:59:23
Document(s) archivé(s) le : vendredi 28 décembre 2012 - 08:30:08
Tarik Kaced, Andrei Romashchenko. On the Non-robustness of Essentially Conditional Information Inequalities. ITW'12: Information Theory Workshop, Sep 2012, Switzerland. pp.1935-1939, 2012, 〈itw2012.epfl.ch/〉. 〈lirmm-00736192〉
