The Entropy Region is not Closed Under Duality

Abstract

We import a duality notion coming from polymatroids to define duality for information inequalities. We show that the entropy region for n 5 is not closed under duality. Our result answers an open question of Mat\`us (1992).

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…