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Abstract
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We show that the marginal model for a discrete directed acyclic graph (DAG) with
hidden variables is distributionally equivalent to another fully observable DAG model
if and only if it does not induce any nontrivial inequality constraints.
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Keywords
Bayesian networks, directed acyclic graphs, distributional
equivalence, latent variables, mixed graphs
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Mathematical Subject Classification
Primary: 62H22
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Milestones
Received: 14 September 2022
Revised: 18 May 2023
Accepted: 2 June 2023
Published: 28 November 2023
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| © 2023 The Author(s), under
exclusive license to MSP (Mathematical Sciences
Publishers). |
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