Interaction Information for Causal Inference: The Case of Directed Triangle

AmirEmad Ghassami; Negar Kiyavash

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arXiv · 1701.08868

Interaction Information for Causal Inference: The Case of Directed Triangle

AmirEmad Ghassami·Negar Kiyavash

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Abstract

Interaction information is one of the multivariate generalizations of mutual information, which expresses the amount information shared among a set of variables, beyond the information, which is shared in any proper subset of those variables. Unlike (conditional) mutual information, which is always non-negative, interaction information can be negative. We utilize this property to find the direction of causal influences among variables in a triangle topology under some mild assumptions.

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AmirEmad Ghassami, Negar Kiyavash. 2017-01-30. Interaction Information for Causal Inference: The Case of Directed Triangle. https://arxiv.org/abs/1701.08868

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