arXiv:2603.08526cs.LGcs.AI2026-03

提出新方法GlobAlign,无监督对齐图结构更准更快。

Towards Effective and Efficient Graph Alignment without Supervision

  • 用全局注意力和分层传输成本捕捉长程依赖
  • 比最佳对手准确率高20%,效率提升一个量级
  • 适合需要高效精准图对齐的科研与工业场景

无监督图对齐旨在不依赖锚点对的情况下找到不同图间的节点对应关系。尽管已有基于深度学习的嵌入与最优传输(OT)方法,但其在精度-效率权衡上仍存在局限。本文提出“全局表示与对齐”新范式,克服传统“局部表示、全局对齐”中两阶段不匹配的问题。我们设计了GlobAlign及其高效变体GlobAlign-E,引入全局注意力机制与分层跨图传输代价,能捕捉超越局部结构的长程和隐式节点依赖。尤其地,GlobAlign-E将最优传输的立方时间复杂度降至二次项,填补了嵌入与OT方法间的效率差距。大量实验表明,该方法在准确率上相比最优竞争者最高提升20%,GlobAlign-E相较现有OT方法实现数量级加速。

原文摘要 · Abstract (English)

Unsupervised graph alignment aims to find the node correspondence across different graphs without any anchor node pairs. Despite the recent efforts utilizing deep learning-based techniques, such as the embedding and optimal transport (OT)-based approaches, we observe their limitations in terms of model accuracy-efficiency tradeoff. By focusing on the exploitation of local and global graph information, we formalize them as the ``local representation, global alignment'' paradigm, and present a new ``global representation and alignment'' paradigm to resolve the mismatch between the two phases in the alignment process. We then propose \underline{Gl}obal representation and \underline{o}ptimal transport-\underline{b}ased \underline{Align}ment (\texttt{GlobAlign}), and its variant, \texttt{GlobAlign-E}, for better \underline{E}fficiency. Our methods are equipped with the global attention mechanism and a hierarchical cross-graph transport cost, able to capture long-range and implicit node dependencies beyond the local graph structure. Furthermore, \texttt{GlobAlign-E} successfully closes the time complexity gap between representative embedding and OT-based methods, reducing OT's cubic complexity to quadratic terms. Through extensive experiments, our methods demonstrate superior performance, with up to a 20\% accuracy improvement over the best competitor. Meanwhile, \texttt{GlobAlign-E} achieves the best efficiency, with an order of magnitude speedup against existing OT-based methods.

图对齐无监督最优传输高效算法

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