arXiv:2512.10735cs.LGcs.AI2025-12AAAI

提出LGAN模型,用线图聚合实现高效高阶图神经网络

LGAN: An Efficient High-Order Graph Neural Network via the Line Graph Aggregation

  • 通过构建节点中心子图的线图进行高阶信息聚合
  • 理论证明其表达力超2-WL测试,且计算复杂度更低
  • 兼顾性能与可解释性,适合需要溯源分析的任务

图神经网络(GNN)已成为图分类的主要范式。现有大多数GNN依赖邻居节点间的消息传递,其表达能力受限于1维魏斯费勒-莱曼(1-WL)测试。尽管已有多种基于k-WL的GNN试图突破此限制,但其计算开销随k急剧增加,严重制约实际应用。此外,由于k-WL模型主要作用于节点元组,难以保留节点或边级语义,导致归因方法(如Integrated Gradients)效果不佳,可解释性差。为此,本文提出一种新型线图聚合网络(LGAN),从每个节点的诱导子图构造线图,实现高阶聚合。理论上证明,在注入式聚合假设下,LGAN的表达力优于2-WL,且时间复杂度更低。在基准数据集上的实验表明,LGAN优于当前最先进的k-WL基GNN,同时具备更强的可解释性。

原文摘要 · Abstract (English)

Graph Neural Networks (GNNs) have emerged as a dominant paradigm for graph classification. Specifically, most existing GNNs mainly rely on the message passing strategy between neighbor nodes, where the expressivity is limited by the 1-dimensional Weisfeiler-Lehman (1-WL) test. Although a number of k-WL-based GNNs have been proposed to overcome this limitation, their computational cost increases rapidly with k, significantly restricting the practical applicability. Moreover, since the k-WL models mainly operate on node tuples, these k-WL-based GNNs cannot retain fine-grained node- or edge-level semantics required by attribution methods (e.g., Integrated Gradients), leading to the less interpretable problem. To overcome the above shortcomings, in this paper, we propose a novel Line Graph Aggregation Network (LGAN), that constructs a line graph from the induced subgraph centered at each node to perform the higher-order aggregation. We theoretically prove that the LGAN not only possesses the greater expressive power than the 2-WL under injective aggregation assumptions, but also has lower time complexity. Empirical evaluations on benchmarks demonstrate that the LGAN outperforms state-of-the-art k-WL-based GNNs, while offering better interpretability.

图神经网络高阶聚合可解释性线图

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