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Introducing Diminutive Causal Structure into Graph Representation Learning

Hang Gao, Peng Qiao, Yifan Jin, Fengge Wu, Jiangmeng Li, Changwen Zheng

TL;DR

This work tackles the difficulty of learning true causal relationships in graph data with end-to-end GNNs by introducing diminutive causal structures as priors. The proposed DCSGL framework learns from higher-level causal models $ ext{M}(ullet)$ and aligns GNN representations with these structures through KL-based losses and node-feature interventions, enhanced by interchange interventions. Theoretical backing via Structural Causal Models shows that increasing alignment with diminutive causal factors reduces confounding, while experiments across topological and linguistic domains demonstrate consistent performance gains over strong baselines. The approach enables robust, domain-knowledge-guided graph representation learning with practical benefits for out-of-distribution generalization and interpretability.

Abstract

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic data relationships. A proposed mitigating strategy involves the direct integration of rules or relationships corresponding to the graph data into the model. However, within the domain of graph representation learning, the inherent complexity of graph data obstructs the derivation of a comprehensive causal structure that encapsulates universal rules or relationships governing the entire dataset. Instead, only specialized diminutive causal structures, delineating specific causal relationships within constrained subsets of graph data, emerge as discernible. Motivated by empirical insights, it is observed that GNN models exhibit a tendency to converge towards such specialized causal structures during the training process. Consequently, we posit that the introduction of these specific causal structures is advantageous for the training of GNN models. Building upon this proposition, we introduce a novel method that enables GNN models to glean insights from these specialized diminutive causal structures, thereby enhancing overall performance. Our method specifically extracts causal knowledge from the model representation of these diminutive causal structures and incorporates interchange intervention to optimize the learning process. Theoretical analysis serves to corroborate the efficacy of our proposed method. Furthermore, empirical experiments consistently demonstrate significant performance improvements across diverse datasets.

Introducing Diminutive Causal Structure into Graph Representation Learning

TL;DR

This work tackles the difficulty of learning true causal relationships in graph data with end-to-end GNNs by introducing diminutive causal structures as priors. The proposed DCSGL framework learns from higher-level causal models and aligns GNN representations with these structures through KL-based losses and node-feature interventions, enhanced by interchange interventions. Theoretical backing via Structural Causal Models shows that increasing alignment with diminutive causal factors reduces confounding, while experiments across topological and linguistic domains demonstrate consistent performance gains over strong baselines. The approach enables robust, domain-knowledge-guided graph representation learning with practical benefits for out-of-distribution generalization and interpretability.

Abstract

When engaging in end-to-end graph representation learning with Graph Neural Networks (GNNs), the intricate causal relationships and rules inherent in graph data pose a formidable challenge for the model in accurately capturing authentic data relationships. A proposed mitigating strategy involves the direct integration of rules or relationships corresponding to the graph data into the model. However, within the domain of graph representation learning, the inherent complexity of graph data obstructs the derivation of a comprehensive causal structure that encapsulates universal rules or relationships governing the entire dataset. Instead, only specialized diminutive causal structures, delineating specific causal relationships within constrained subsets of graph data, emerge as discernible. Motivated by empirical insights, it is observed that GNN models exhibit a tendency to converge towards such specialized causal structures during the training process. Consequently, we posit that the introduction of these specific causal structures is advantageous for the training of GNN models. Building upon this proposition, we introduce a novel method that enables GNN models to glean insights from these specialized diminutive causal structures, thereby enhancing overall performance. Our method specifically extracts causal knowledge from the model representation of these diminutive causal structures and incorporates interchange intervention to optimize the learning process. Theoretical analysis serves to corroborate the efficacy of our proposed method. Furthermore, empirical experiments consistently demonstrate significant performance improvements across diverse datasets.
Paper Structure (37 sections, 4 theorems, 39 equations, 9 figures, 9 tables)

This paper contains 37 sections, 4 theorems, 39 equations, 9 figures, 9 tables.

Key Result

Proposition 2

The SCM illustrated in Figure fig:SCM can represent scenarios encountered when applying our model to general graph learning tasks.

Figures (9)

  • Figure 1: The motivating explorations.
  • Figure 2: The overall framework of DCSGL.
  • Figure 3: Example graph sample.
  • Figure 4: Graphical representation of the SCM.
  • Figure 5: Visualization of the reasoning process using IC algorithm.
  • ...and 4 more figures

Theorems & Definitions (5)

  • Definition 1
  • Proposition 2
  • Theorem 3
  • Theorem 4
  • Corollary 5