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Orders Between Channels and Some Implications for Partial Information Decomposition
Version 1
: Received: 9 May 2023 / Approved: 10 May 2023 / Online: 10 May 2023 (13:27:50 CEST)
A peer-reviewed article of this Preprint also exists.
Gomes, A.F.C.; Figueiredo, M.A.T. Orders between Channels and Implications for Partial Information Decomposition. Entropy 2023, 25, 975. Gomes, A.F.C.; Figueiredo, M.A.T. Orders between Channels and Implications for Partial Information Decomposition. Entropy 2023, 25, 975.
Abstract
The partial information decomposition (PID) framework is concerned with decomposing the information that a set of random variables has with respect to a target variable into three types of components: redundant, synergistic, and unique. Classical information theory alone does not provide a unique way to decompose information in this manner and additional assumptions have to be made. Inspired by Kolchinsky's recent proposal for measures of intersection information, we introduce three new measures based on well-known partial orders between communication channels and study some of their properties.
Keywords
information theory; partial information decomposition; channel partial orders; intersection information; shared information; redundancy
Subject
Computer Science and Mathematics, Other
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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