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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.07921 |
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| _version_ | 1866916683879284736 |
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| author | Yvernes, Clément |
| author_facet | Yvernes, Clément |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07921 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Note on the identification of total effect in Cluster-DAGs with cycles Yvernes, Clément Statistics Theory Artificial Intelligence 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. |
| title | Note on the identification of total effect in Cluster-DAGs with cycles |
| topic | Statistics Theory Artificial Intelligence |
| url | https://arxiv.org/abs/2504.07921 |