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Conditional Independence Structures Over Four Discrete Random Variables Revisited: Conditional Ingleton Inequalities

Conditional Independence Structures Over Four Discrete Random Variables Revisited: Conditional Ingleton Inequalities

The paper deals with linear information inequalities valid for entropy functions induced by discrete random variables. Specifically, the so-called <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">conditional Ingleton inequalities</i> are in the center of interest: these are valid under conditional independence assumptions on the inducing random variables. We discuss five inequalities of this particular type, …