Synergistic Graph Fusion via Encoder Embedding

Autor: Shen, Cencheng, Priebe, Carey E., Larson, Jonathan, Trinh, Ha
Rok vydání: 2023
Předmět:
Zdroj: Information Sciences 678, 120912, 2024
Druh dokumentu: Working Paper
DOI: 10.1016/j.ins.2024.120912
Popis: In this paper, we introduce a method called graph fusion embedding, designed for multi-graph embedding with shared vertex sets. Under the framework of supervised learning, our method exhibits a remarkable and highly desirable synergistic effect: for sufficiently large vertex size, the accuracy of vertex classification consistently benefits from the incorporation of additional graphs. We establish the mathematical foundation for the method, including the asymptotic convergence of the embedding, a sufficient condition for asymptotic optimal classification, and the proof of the synergistic effect for vertex classification. Our comprehensive simulations and real data experiments provide compelling evidence supporting the effectiveness of our proposed method, showcasing the pronounced synergistic effect for multiple graphs from disparate sources.
Comment: 19 pages main + 11 pages appendix
Databáze: arXiv