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The Entropy Region is not Closed Under Duality

Published 13 Nov 2016 in cs.IT and math.IT | (1611.04109v1)

Abstract: We import a duality notion coming from polymatroids to define duality for information inequalities. We show that the entropy region for n≥5n\ge 5 is not closed under duality. Our result answers an open question of Mat`u\v{s} (1992).

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