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Conditional Separation as a Binary Relation


Pearl's d-separation is a foundational notion to study conditional independence between random variables on directed acyclic graphs. Pearl defined the d-separation of two subsets conditionally on a third one. We show how the d-separation can be extended beyond acyclic graphs and can be expressed and characterized as a binary relation between vertices.
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hal-03315809 , version 1 (06-08-2021)



Jean-Philippe Chancelier, Michel de Lara, Benjamin Heymann. Conditional Separation as a Binary Relation. 2021. ⟨hal-03315809⟩
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