arXiv:2508.11249cs.LGcs.AI2025-08被引 2

用动态观点演化统一图神经网络扩散机制,提升深度与可解释性

Graph Neural Diffusion via Generalized Opinion Dynamics

  • 基于节点特异性行为建模与动态邻域影响,实现异质扩散
  • 深层传播仍高效可解释,理论证明支持多种收敛模式
  • 在节点分类和影响力估计上优于当前最优GNN模型

近年来,基于扩散过程的图神经网络(GNN)受到关注,其消息传递机制与物理扩散过程存在关联。然而现有方法存在三大局限:(1) 依赖同质静态扩散,难以适应多样图结构;(2) 深度受限于计算开销与可解释性下降;(3) 收敛行为缺乏理论理解。为此,我们提出广义观点演化神经框架(GODNF),将多种观点演化模型统一为可训练的扩散机制。该框架通过节点特异性行为建模与动态邻域影响,捕捉异质扩散模式与时间动态,同时保证深层传播的效率与可解释性。我们提供了严格的理论分析,证明GODNF能建模多样收敛配置。大量实验在节点分类与影响力估计任务中验证了其对先进GNN的优越性。

原文摘要 · Abstract (English)

There has been a growing interest in developing diffusion-based Graph Neural Networks (GNNs), building on the connections between message passing mechanisms in GNNs and physical diffusion processes. However, existing methods suffer from three critical limitations: (1) they rely on homogeneous diffusion with static dynamics, limiting adaptability to diverse graph structures; (2) their depth is constrained by computational overhead and diminishing interpretability; and (3) theoretical understanding of their convergence behavior remains limited. To address these challenges, we propose GODNF, a Generalized Opinion Dynamics Neural Framework, which unifies multiple opinion dynamics models into a principled, trainable diffusion mechanism. Our framework captures heterogeneous diffusion patterns and temporal dynamics via node-specific behavior modeling and dynamic neighborhood influence, while ensuring efficient and interpretable message propagation even at deep layers. We provide a rigorous theoretical analysis demonstrating GODNF's ability to model diverse convergence configurations. Extensive empirical evaluations of node classification and influence estimation tasks confirm GODNF's superiority over state-of-the-art GNNs.

图神经网络扩散模型动态建模

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