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    This study introduces a new model for causal subgraph learning that simultaneously removes spurious and noisy data. The Information Bottleneck-constrained denoised Causal Subgraph (IBCS) model accurately extracts true causal structures from complex graph data.

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    Area of Science:

    • Graph Learning
    • Causal Inference
    • Machine Learning

    Background:

    • Extracting precise causal subgraphs is crucial for interpreting and improving graph learning predictions.
    • Existing methods often fail because they only address spurious or noisy data, not both simultaneously.
    • Real-world scenarios frequently involve a coexistence of causal, spurious, and noisy subgraphs.

    Purpose of the Study:

    • To propose a more realistic problem formulation for causal subgraph extraction where spurious and noisy data coexist.
    • To develop a novel model capable of simultaneously identifying and excluding spurious and noisy components from causal subgraphs.
    • To accurately extract the true causal substructure for reliable interpretation and prediction.

    Main Methods:

    • Introduced a novel problem formulation hypothesizing graphs as a mixture of causal, spurious, and noisy subgraphs.
    • Developed an Information Bottleneck-constrained denoised Causal Subgraph (IBCS) learning model.
    • Designed a causal learning objective incorporating intervention on spurious features and an information bottleneck constraint to filter noise.

    Main Results:

    • Theoretically proved that the causal subgraph extracted by IBCS can approximate the ground-truth.
    • Empirically demonstrated the superiority of IBCS over state-of-the-art baselines on nine benchmark datasets.
    • IBCS effectively excludes both spurious and noisy parts, enabling accurate causal subgraph extraction.

    Conclusions:

    • The proposed problem formulation and IBCS model offer a more practical approach to causal subgraph learning.
    • IBCS successfully addresses the challenge of simultaneous spurious and noisy subgraph exclusion.
    • The findings highlight the effectiveness of IBCS in extracting reliable causal structures for enhanced graph learning applications.