Identifying Conditional Causal Effects in MPDAGs

Fuente: arXiv
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Main Authors: LaPlante, Sara, Perković, Emilija
Format: Preprint
Published: 2025
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author LaPlante, Sara
Perković, Emilija
author_facet LaPlante, Sara
Perković, Emilija
contents We consider identifying a conditional causal effect when a graph is known up to a maximally oriented partially directed acyclic graph (MPDAG). An MPDAG represents an equivalence class of graphs that is restricted by background knowledge and where all variables in the causal model are observed. We provide three results that address identification in this setting: an identification formula when the conditioning set is unaffected by treatment, a generalization of the well-known do calculus to the MPDAG setting, and an algorithm that is complete for identifying these conditional effects.
format Preprint
id arxiv_https___arxiv_org_abs_2507_15842
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Identifying Conditional Causal Effects in MPDAGs
LaPlante, Sara
Perković, Emilija
Artificial Intelligence
Methodology
Machine Learning
We consider identifying a conditional causal effect when a graph is known up to a maximally oriented partially directed acyclic graph (MPDAG). An MPDAG represents an equivalence class of graphs that is restricted by background knowledge and where all variables in the causal model are observed. We provide three results that address identification in this setting: an identification formula when the conditioning set is unaffected by treatment, a generalization of the well-known do calculus to the MPDAG setting, and an algorithm that is complete for identifying these conditional effects.
title Identifying Conditional Causal Effects in MPDAGs
topic Artificial Intelligence
Methodology
Machine Learning
url https://arxiv.org/abs/2507.15842