聖塔非研究所

摘要 We propose new measures of shared 資訊, unique 資訊 a

2014-04-15 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 We propose new measures of shared 資訊, unique 資訊 and synergistic 資訊 that can be used to decompose the mutual 資訊 of a pair of random variables (Y, Z) with a third random variable X. Our mea…

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  • 類型:已發表論文
  • 日期:2014-04-15

摘要

We propose new measures of shared 資訊, unique 資訊 and synergistic 資訊 that can be used to decompose the mutual 資訊 of a pair of random variables (Y, Z) with a third random variable X. Our measures are motivated by an operational idea of unique 資訊, which suggests that shared 資訊 and unique 資訊 should depend only on the marginal distributions of the pairs (X, Y) and (X, Z). Although this invariance property has not been studied before, it is satisfied by other proposed measures of shared 資訊. The invariance property does not uniquely determine our new measures, but it implies that the functions that we define are bounds to any other measures satisfying the same invariance property. We study properties of our measures and compare them to other candidate measures.

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