Signed Graph Pre-Training and Prompt Learning

Researchers introduced TopoSIGN, a topology-guided graph pre-training and prompt learning framework for signed graphs, detailed in arXiv paper 2609.25722v1. TopoSIGN combines a structural encoder built on the magnetic signed Laplacian with a persistent-homology branch that summarizes signed topology through Dowker-complex persistence images, then transfers the fused embeddings to a prompt learning function. Experiments on synthetic and real-world datasets demonstrated TopoSIGN's efficacy in extracting useful structural information from signed graphs and the adaptability of the general framework.

arXiv:2609.25722v1 Announce Type: new Abstract: Signed graphs arise in trust--distrust networks, financial correlation systems, biological interaction graphs, and many other domains in which edges can be positive or negative and may also be directed. While signed graph neural networks have improved task-specific learning, graph transfer learning on signed graphs remains underdeveloped. In this paper, we introduce TopoSIGN, a pioneer topology-guided graph pre-training and prompt learning framework for signed graphs. TopoSIGN combines a structural encoder built on the magnetic signed Laplacian with a novel persistent-homology branch that summarizes signed topology through Dowker-complex persistence images. The fused embeddings are then transferred to a prompt learning function. Experimental results on synthetic and real-world datasets demonstrate the efficacy of TopoSIGN in extracting useful structural information in signed graphs, as well as the adaptability and flexibility of the proposed general framework.