A Marginal Characterization of Entropy Functions for Conditional Mutually Independent Random Variables (with Application to Wyner's Common Information)
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© 2015 IEEE. We prove that by imposing a conditional mutual independence constraint and a marginalisation constraint, the almost entropic region can be completely characterised by Shannon-type information inequalities. Such a property is applied to obtain an explicit lower bound on the generalised Wyner common information.
author list (cited authors)
Chen, Q. i., Cheng, F., Liu, T., & Yeung, R. W.