On shared and multiple information

Cesare Magri

doi:10.13140/rg.2.2.27408.33289

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arXiv · 2107.11032

On shared and multiple information

Cesare Magri

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Abstract

We address three outstanding problems in information theory. Problem one is the definition of a non-negative decomposition of the information conveyed by two or more sources about a target variable into the specific contribution of each possible combination of the sources. Problem two is the definition of a measure of information shared by several sources about the target variable. Problem three is the definition of a measure of multiple mutual information, that is, the extension of mutual information to more than two variables.

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Cesare Magri. 2021-07-23. On shared and multiple information. https://doi.org/10.13140/rg.2.2.27408.33289

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