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

Published: April 10, 2025 | arXiv ID: 2504.07921v1

By: Clément Yvernes

Potential Business Impact:

Finds hidden causes in complex systems.

Business Areas:
A/B Testing Data and Analytics

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.

Page Count
17 pages

Category
Mathematics:
Statistics Theory