Partial information decomposition components map directly onto causal roles such as direct parents, children, and colliders in both pairwise Bayesian networks and higher-order hypergraphs.
What are higher-order networks? SIAM Review, 65 0 (3): 0 686--731, 2023
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Information-theoretic signatures of causality in Bayesian networks and hypergraphs
Partial information decomposition components map directly onto causal roles such as direct parents, children, and colliders in both pairwise Bayesian networks and higher-order hypergraphs.