The Entropy Region is not Closed Under Duality
classification
💻 cs.IT
math.IT
keywords
dualityclosedentropyregionunderanswerscomingdefine
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We import a duality notion coming from polymatroids to define duality for information inequalities. We show that the entropy region for $n\ge 5$ is not closed under duality. Our result answers an open question of Mat\`u\v{s} (1992).
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