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This research introduces Cluster-DAGs as a flexible prior knowledge framework to enhance causal discovery in high-dimensional settings, effectively addressing limitations of existing methods with complex dependencies. By adapting constraint-based algorithms like Cluster-PC and Cluster-FCI, the study demonstrates improved performance over baselines that lack prior structural information, offering a significant step forward for modeling intricate scientific systems.
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Cluster-Dags as Powerful Background Knowledge For Causal Discovery

arXiv2 min read

arXiv:2512.10032v3 Announce Type: replace-cross Abstract: Finding cause-effect relationships is of key importance in science. Causal discovery aims to recover a graph from data that succinctly describes these cause-effect relationships. However, current methods face several challenges, especially when dealing with high-dimensional data and complex dependencies. Incorporating prior knowledge about the system can aid causal discovery. In this work, we leverage Cluster-DAGs as a prior knowledge framework to warm-start causal discovery. We show that Cluster-DAGs offer greater flexibility than existing approaches based on tiered background knowledge and introduce two modified constraint-based algorithms, Cluster-PC and Cluster-FCI, for causal discovery in the fully and partially observed setting, respectively. Empirical evaluation on simulated data demonstrates that Cluster-PC and Cluster-FCI outperform their respective baselines without prior knowledge.

Abstract:Finding cause-effect relationships is of key importance in science. Causal discovery aims to recover a graph from data that succinctly describes these cause-effect relationships. However, current methods face several challenges, especially when dealing with high-dimensional data and complex dependencies. Incorporating prior knowledge about the system can aid causal discovery. In this work, we leverage Cluster-DAGs as a prior knowledge framework to warm-start causal discovery. We show that Cluster-DAGs offer greater flexibility than existing approaches based on tiered background knowledge and introduce two modified constraint-based algorithms, Cluster-PC and Cluster-FCI, for causal discovery in the fully and partially observed setting, respectively. Empirical evaluation on simulated data demonstrates that Cluster-PC and Cluster-FCI outperform their respective baselines without prior knowledge.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Machine Learning (stat.ML)

arXiv:2512.10032 [cs.LG]

(or arXiv:2512.10032v3 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2512.10032 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 214 words

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