Enhancing robust semi-supervised graph alignment via adaptive optimal transport
摘要
The semi-supervised graph alignment problem aims to find the node correspondence across different graphs given a set of anchor links. Most existing methods employ the notion of alignment consistency or embedding-based techniques but overlook the global structure of graph data. Recently, an Optimal Transport (OT)-based method has been proposed for semi-supervised graph alignment by integrating structure-based embedding and OT distance, demonstrating its effectiveness in problem modeling. However, graphs to be aligned often exhibit significant structural differences, and a non-learnable transport cost design struggles to maintain generality when faced with such variations, especially in noisy real-world scenarios. Meanwhile, the challenge of efficiently incorporating anchor links into the cost design has not been thoroughly explored. In this paper, we propose