In this paper we prove a countable set of non-Shannon-type linear information inequalities for entropies of discrete random variables, i.e., information ...
In this paper we prove a countable set of non-Shannon-type linear information inequalities for entropies of discrete random variables, i.e., ...
A countable set of non-Shannon-type linear information inequalities for entropies of discrete random variables, i.e., information inequalities which cannot ...
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1998 in fact implies a class of 214 non-Shannon-type inequalities, and we show possible applications of these inequalities in information theory problems.
Abstract. Recently, K. Makarychev, Y. Makarychev, A. Romashchenko and N. Vereshchagin proved a new non-Shannon-type information inequality [3] involving 5 ...
Dougherty, Freiling, and Zeger [1] used a technique called the copy lemma to generate a list of 214 non-Shannon-type information inequalities, all of a ...
Given n discrete random variables Ω={X1,…,Xn}, associated with any subset α of {1,2,…,n}, there is a joint entropy H(Xα) where Xα={Xi: i∈α}. This ca...
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The existence of non-Shannon inequalities is related to the question of whether a lattice is isomorphic to a lattice of subgroups of a group. In order to ...
gin, “A new class of non-Shannon-type inequalities for entropies”,. Communications in Information and Systems, vol. 2, no. 2, pp. 147-. 166, December 2002. [4] ...
Six New Non-Shannon Information Inequalities - ResearchGate
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PDF | All unconstrained information inequalities in three or fewer random variables are known to be "Shannon-type", in that they are nonnegative linear.