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Balanced information inequalities

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1 Author(s)
T. H. Chan ; Dept. of Electr. & Comput. Eng., Univ. of Toronto, Ont., Canada

In this correspondence, we are interested in linear information inequalities, both discrete and continuous ones. We show that every discrete information inequality is associated with a "balanced" information inequality and a set of "residual weights." To prove the inequality, it is necessary and sufficient to prove that its "balanced" version is valid and all its residual weights are nonnegative. For a continuous information inequality, we prove that it is valid if and only if its discrete counterpart is balanced and valid.

Published in:

IEEE Transactions on Information Theory  (Volume:49 ,  Issue: 12 )