mlsanityData to 7 Oct 2026

Cluster-Dags as Powerful Background Knowledge For Causal Discovery

arXiv 2512.10032 ↗First posted 10 Dec 2025cs.LG cs.AI stat.MLcited by 1

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Abstract (arXiv)

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.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 43 of its 81 references that are in the map. First posted on arXiv 10 Dec 2025.

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43 of 81 references.

References · 43

  1. 2018DAGs with NO TEARS: Continuous Optimization for Structure Learningcited by 745
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  5. 2021gCastle: A Python Toolbox for Causal Discoverycited by 60
  6. 2022Causal Effect Identification in Cluster DAGscited by 33
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  8. 2023Foundations of Causal Discovery on Groups of Variablescited by 20
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  12. 2024Causal Discovery with Fewer Conditional Independence Testscited by 13
31 more
  1. 2021Conditional Independence Testing in Hilbert Spaces with Applications to Functional Data Analysiscited by 12
  2. 2015Learning Structures of Bayesian Networks for Variable Groupscited by 11
  3. 2022Vector causal inference between two groups of variablescited by 11
  4. 2023Characterization and Learning of Causal Graphs with Small Conditioning Setscited by 11
  5. 2020A Weaker Faithfulness Assumption based on Triple Interactionscited by 10
  6. 2021Typing assumptions improve identification in causal discoverycited by 10
  7. 2021Clustering and Structural Robustness in Causal Diagramscited by 10
  8. 2023Local Causal Discovery for Estimating Causal Effectscited by 10
  9. 2023Do we become wiser with time? On causal equivalence with tiered background knowledgecited by 9
  10. 2024Learning Causal Abstractions of Linear Structural Causal Modelscited by 9
  11. 2023Evaluation of Induced Expert Knowledge in Causal Structure Learning by NOTEARScited by 8
  12. 2024Identifying Macro Conditional Independencies and Macro Total Effects in Summary Causal Graphs with Latent Confoundingcited by 8
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  14. 2022On the Representation of Pairwise Causal Background Knowledge and Its Applications in Causal Inferencecited by 5
  15. 2023Optimizing Data-driven Causal Discovery Using Knowledge-guided Searchcited by 5
  16. 2023Meaningful Causal Aggregation and Paradoxical Confoundingcited by 5
  17. 2024Towards identifiability of micro total effects in summary causal graphs with latent confounding: extension of the front-door criterioncited by 5
  18. 2022Domain Knowledge in A*-Based Causal Discoverycited by 4
  19. 2025Counterfactual Realizabilitycited by 3
  20. 2025Identifying Macro Causal Effects in a C-DMG over ADMGscited by 3
  21. 2025Causal discovery on vector-valued variables and consistency-guided aggregationcited by 3
  22. 2025Nonlinear Causal Discovery for Grouped Datacited by 3
  23. 2025Relaxing partition admissibility in Cluster-DAGs: a causal calculus with arbitrary variable clusteringcited by 3
  24. 2025Note on the identification of total effect in Cluster-DAGs with cyclescited by 2
  25. 2025Complete Characterization for Adjustment in Summary Causal Graphs of Time Seriescited by 2
  26. 2025Identifiability by common backdoor in summary causal graphs of time seriescited by 2
  27. 2025Causal Abstraction Inference under Lossy Representationscited by 2
  28. 2024Average Controlled and Average Natural Micro Direct Effects in Summary Causal Graphscited by 1
  29. 2025On the Identifiability of Causal Abstractionscited by 1
  30. 2025Clustering and Pruning in Causal Data Fusioncited by 1
  31. 2025Identifiability in Causal Abstractions: A Hierarchy of Criteriacited by 1

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