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A Measure of Synergy Based on Union Information

Gomes, André F C ; Figueiredo, Mário A T

Entropy (Basel, Switzerland), 2024-03, Vol.26 (3), p.271 [Periódico revisado por pares]

Switzerland: MDPI AG

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  • Título:
    A Measure of Synergy Based on Union Information
  • Autor: Gomes, André F C ; Figueiredo, Mário A T
  • Assuntos: Codes ; Communication channels ; Decomposition ; Information theory ; partial information decomposition ; Random variables ; synergy ; union information
  • É parte de: Entropy (Basel, Switzerland), 2024-03, Vol.26 (3), p.271
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
    content type line 23
  • Descrição: The (PID) framework is concerned with decomposing the information that a set of (two or more) random variables (the sources) has about another variable (the target) into three types of information: unique, redundant, and synergistic. Classical information theory alone does not provide a unique way to decompose information in this manner and additional assumptions have to be made. One often overlooked way to achieve this decomposition is using a so-called measure of union information-which quantifies the information that is present in at least one of the sources-from which a synergy measure stems. In this paper, we introduce a new measure of union information based on adopting a communication channel perspective, compare it with existing measures, and study some of its properties. We also include a comprehensive critical review of characterizations of union information and synergy measures that have been proposed in the literature.
  • Editor: Switzerland: MDPI AG
  • Idioma: Inglês

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