Table of Contents
Entropy, Volume 19, Issue 7 (July 2017)
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Cover Story (view full-size image) What happens when information is processed by applying a function f to a variable S? The data [...] Read more. What happens when information is processed by applying a function f to a variable S? The data processing inequality says that Shannon's mutual information always decreases. But what about other aspects of information, such as redundant information, unique information or synergistic information? This question has been discussed a lot in the field of information decompositions. We present a construction that enforces such a monotonicity property on an information measure. We show that the Blackwell property, which gives an operational meaning to unique information, is incompatible with monotonicity. View this paper