Conditional Separation as a Binary Relation - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

Conditional Separation as a Binary Relation

Résumé

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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Dates et versions

hal-03315809 , version 1 (06-08-2021)
hal-03315809 , version 2 (27-03-2024)
hal-03315809 , version 3 (28-03-2024)

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Jean-Philippe Chancelier, Michel de Lara, Benjamin Heymann. Conditional Separation as a Binary Relation. 2021. ⟨hal-03315809v1⟩
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