A Closer Look at the Application of Causal Inference in Graph Representation Learning

arXiv cs.LG / 4/13/2026

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Key Points

  • The paper argues that common causal-inference practices in graph representation learning often require aggregating graph elements into single variables, which can break key causal assumptions and undermine causal validity.
  • It provides a theoretical proof that such aggregation compromises causal validity, motivating a new causal modeling framework based on the smallest indivisible graph units to preserve causal correctness.
  • The authors analyze the computational/statistical costs of achieving precise causal modeling and specify conditions under which the problem can be simplified.
  • They validate the theory using a controllable synthetic dataset that mirrors real-world causal graph structures, conducting extensive experiments to test causal validity.
  • The work also introduces a causal modeling enhancement module designed to plug into existing graph learning pipelines and shows improved performance in comparative experiments.

Abstract

Modeling causal relationships in graph representation learning remains a fundamental challenge. Existing approaches often draw on theories and methods from causal inference to identify causal subgraphs or mitigate confounders. However, due to the inherent complexity of graph-structured data, these approaches frequently aggregate diverse graph elements into single causal variables, an operation that risks violating the core assumptions of causal inference. In this work, we prove that such aggregation compromises causal validity. Building on this conclusion, we propose a theoretical model grounded in the smallest indivisible units of graph data to ensure that the causal validity is guaranteed. With this model, we further analyze the costs of achieving precise causal modeling in graph representation learning and identify the conditions under which the problem can be simplified. To empirically support our theory, we construct a controllable synthetic dataset that reflects realworld causal structures and conduct extensive experiments for validation. Finally, we develop a causal modeling enhancement module that can be seamlessly integrated into existing graph learning pipelines, and we demonstrate its effectiveness through comprehensive comparative experiments.