arXiv:2412.18720cs.LG2024-12

提出轻量级方法ELISE,高效学习带符号二分图节点表示

Effective and Lightweight Representation Learning for Link Sign Prediction in Signed Bipartite Graphs

  • 基于平衡理论扩展个性化传播,直接利用符号边传递消息
  • 通过低秩近似联合学习嵌入,减少噪声并保持全局结构
  • 模型轻量高效,训练推理速度更快,适合大规模实际应用

如何在带符号二分图中有效且高效地学习节点表示?带符号二分图由两类节点组成,不同类节点间存在正负连接,广泛用于建模电商等真实关系。现有方法多采用图神经网络学习表示,通过平衡理论在同类型节点间添加边以增强结构。然而,这些方法依赖简单的消息传递机制,易导致过平滑,并受真实图中噪声交互影响;同时因大量新增边而计算效率低下。本文提出ELISE,一种基于GNN的轻量级方法。首先将个性化传播扩展至带符号二分图,在消息传递中直接融入符号边,遵循平衡理论且无需额外添加边,缓解过平滑问题。其次,联合学习低秩近似下的节点嵌入,降低噪声影响,强化全局结构表达,进一步提升表示能力而不显著牺牲效率。实验表明,ELISE在多个真实带符号二分图上预测链接符号性能优于现有方法,且训练与推理速度更快。

原文摘要 · Abstract (English)

How can we effectively and efficiently learn node representations in signed bipartite graphs? A signed bipartite graph is a graph consisting of two nodes sets where nodes of different types are positively or negative connected, and it has been extensively used to model various real-world relationships such as e-commerce, etc. To analyze such a graph, previous studies have focused on designing methods for learning node representations using graph neural networks. In particular, these methods insert edges between nodes of the same type based on balance theory, enabling them to leverage augmented structures in their learning. However, the existing methods rely on a naive message passing design, which is prone to over-smoothing and susceptible to noisy interactions in real-world graphs. Furthermore, they suffer from computational inefficiency due to their heavy design and the significant increase in the number of added edges. In this paper, we propose ELISE, an effective and lightweight GNN-based approach for learning signed bipartite graphs. We first extend personalized propagation to a signed bipartite graph, incorporating signed edges during message passing. This extension adheres to balance theory without introducing additional edges, mitigating the over-smoothing issue and enhancing representation power. We then jointly learn node embeddings on a low-rank approximation of the signed bipartite graph, which reduces potential noise and emphasizes its global structure, further improving expressiveness without significant loss of efficiency. We encapsulate these ideas into ELISE, designing it to be lightweight, unlike the previous methods that add too many edges and cause inefficiency. Through extensive experiments on real-world signed bipartite graphs, we demonstrate that ELISE outperforms its competitors for predicting link signs while providing faster training and inference time.

图神经网络符号图二分图轻量模型

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