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    Area of Science:

    • Artificial Intelligence
    • Causal Inference
    • Machine Learning

    Background:

    • Expert-guided Causal Structure Learning (CSL) enhances causal discovery accuracy using prior knowledge.
    • Acquiring expert knowledge is challenging; Large Language Models (LLMs) offer an alternative, but their causal priors can be unreliable due to hallucinations.
    • Existing methods lack systematic evaluation of LLM-derived constraints for CSL.

    Purpose of the Study:

    • To develop a framework for measuring the reliability and effectiveness of LLM-derived constraints in CSL.
    • To systematically evaluate different types of structural constraints derived from LLMs.
    • To propose an optimized CSL framework that effectively incorporates noisy LLM priors.

    Main Methods:

    • Introduced a structural constraint measurement framework defining constraint strength and quality.
    • Evaluated five constraint categories: Edge Existence (EEC), Edge Forbidden (EFC), Path Existence (PEC), Path Forbidden (PFC), and Order Constraints (OC).
    • Proposed a two-level CSL optimization framework partitioning the search space and refining structures with global path constraints.

    Main Results:

    • Edge Existence Constraints (EEC) show high strength but low quality from LLMs.
    • Path Forbidden (PFC) and Order Constraints (OC) offer a balanced trade-off between search-space pruning and reliability.
    • The proposed two-level CSL framework effectively incorporates noisy LLM priors, especially when expert knowledge is scarce.

    Conclusions:

    • LLM-derived constraints can be valuable for CSL, but their reliability must be carefully assessed.
    • PFC and OC constraints provide a promising approach for leveraging LLM knowledge in CSL.
    • The developed framework and optimization strategy enhance CSL performance in low-expert-knowledge settings.