摘要 We consider the “partial 資訊 decomposition” (PID)

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• 類型：已發表論文
• 日期：2022-03-13

摘要

We consider the “partial 資訊 decomposition” (PID) problem, which aims to decompose the 資訊 that a set of source random variables provide about a target random variable into separate redundant, synergistic, union, and unique components. In the first part of this paper, we propose a general framework for constructing a multivariate PID. Our framework is defined in terms of a formal analogy with intersection and union from set theory, along with an ordering relation which specifies when one 資訊 source is more informative than another. Our definitions are algebraically and axiomatically motivated, and can be generalized to domains beyond Shannon 資訊 theory (such as algorithmic 資訊 theory and 量子 資訊 theory). In the second part of this paper, we use our general framework to define a PID in terms of th

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