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Paper · arXiv

Structure Learning on Clustered Data

Recent algorithmic advances have made directed acyclic graph (DAG) structure learning scalable for causal discovery. Yet, the currently available techniques assume a completely homogeneous population, precluding their application to clustered data where cluster-specific variations (e.g., patient-specific effects) are common. We address this issue by introducing a new approach that estimates a global structure while accounting for local cluster-level effects. The key idea is to extend the fixed- and random-effects framework of classical mixed models to the structure learning setting. Towards this end, we present a differentiable graph coupling mechanism that guarantees the union of the fix...

AuthorsRyan Thompson, Matt P. Wand, Veerabhadran Baladandayuthapani
Primary categorycs.LG
Published9 July 2026
Last updated at source9 July 2026
cs.LGstat.MEstat.ML
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