通过奇异值分解引导的结构扰动,提升图对比学习的鲁棒性与性能。
SPGCL: Simple yet Powerful Graph Contrastive Learning via SVD-Guided Structural Perturbation
- 先随机删边增多样性,再用截断SVD找回关键边,实现结构感知扰动。
- 在10个基准数据集上显著提升GNN准确率和抗噪能力,最高增益达5.2%。
- 适合关注图神经网络鲁棒性、对比学习改进的研究者使用。
图神经网络对结构噪声敏感。现有图对比学习方法通常依赖随机扰动(如边删除)生成多样性,或使用谱增强(如SVD)保留结构先验,但前者无视结构重要性,后者多样性不足。二者分别基于离散边删除与连续矩阵分解,难以融合。本文提出SPGCL框架,利用最近发展的广义结构扰动理论,设计两阶段策略:(1) 轻量级随机边删除以注入多样性;(2) 截断SVD生成结构感知评分矩阵,用于稀疏top-P边恢复。该方法兼具:(1) 抗误删能力,关键边可被恢复;(2) 补充缺失链接,引入语义合理边以增强对比视图;(3) 可控结构差异,确保对比信号源于语义而非边数差异。此外,引入带有全局相似性约束的对比融合模块以对齐嵌入。在10个基准数据集上的实验表明,SPGCL持续提升GNN的鲁棒性与准确率,优于当前最优的GCL与结构学习方法,验证了其对异构范式的有效整合。
原文摘要 · Abstract (English)
Graph Neural Networks (GNNs) are sensitive to structural noise from adversarial attacks or imperfections. Existing graph contrastive learning (GCL) methods typically rely on either random perturbations (e.g., edge dropping) for diversity or spectral augmentations (e.g., SVD) to preserve structural priors. However, random perturbations are structure-agnostic and may remove critical edges, while SVD-based views often lack sufficient diversity. Integrating these paradigms is challenging as they operate on discrete edge removal and continuous matrix factorization, respectively.We propose SPGCL, a framework for robust GCL via SVD-guided structural perturbation. Leveraging a recently developed SVD-based method that generalizes structural perturbation theory to arbitrary graphs, we design a two-stage strategy: (1) lightweight stochastic edge removal to inject diversity, and (2) truncated SVD to derive a structure-aware scoring matrix for sparse top-$P$ edge recovery. This integration offers three advantages: (1) Robustness to accidental deletion, as important edges can be recovered by SVD-guided scoring; (2) Enrichment with missing links, creating more informative contrastive views by introducing semantically meaningful edges; and (3) Controllable structural discrepancy, ensuring contrastive signals stem from semantic differences rather than edge-number gaps.Furthermore, we incorporate a contrastive fusion module with a global similarity constraint to align embeddings. Extensive experiments on ten benchmark datasets demonstrate that SPGCL consistently improves the robustness and accuracy of GNNs, outperforming state-of-the-art GCL and structure learning methods, validating its effectiveness in integrating previously disparate paradigms.
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