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arXiv · 2504.07921

Note on the identification of total effect in Cluster-DAGs with cycles

Clément Yvernes
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Abstract

In this note, we discuss the identifiability of a total effect in cluster-DAGs, allowing for cycles within the cluster-DAG (while still assuming the associated underlying DAG to be acyclic). This is presented into two key results: first, restricting the cluster-DAG to clusters containing at most four nodes; second, adapting the notion of d-separation. We provide a graphical criterion to address the identifiability problem.

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Clément Yvernes. 2025-04-10. Note on the identification of total effect in Cluster-DAGs with cycles. https://arxiv.org/abs/2504.07921

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