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Non-linear Information Inequalities
AbstractWe construct non-linear information inequalities from Mat´uˇs’ infinite series of linear information inequalities. Each single non-linear inequality is sufficiently strong to prove that the closure of the set of all entropy functions is not polyhedral for four or more random variables, a fact that was already established using the series of linear inequalities. To the best of our knowledge, they are the first non-trivial examples of non-linear information inequalities.
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Chan, T.; Grant, A. Non-linear Information Inequalities. Entropy 2008, 10, 765-775.View more citation formats
Chan T, Grant A. Non-linear Information Inequalities. Entropy. 2008; 10(4):765-775.Chicago/Turabian Style
Chan, Terence; Grant, Alex. 2008. "Non-linear Information Inequalities." Entropy 10, no. 4: 765-775.