Edge and Node Enhancement Graph Convolutional Network: Imbalanced Graph Node Classification Method Based on Edge-Node Collaborative Enhancement

Jiadong Tian, Jiali Lin and Dagang Li ()
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Jiadong Tian: School of Computer Science and Engineering, Macau University of Science and Technology, Macau 999078, China
Jiali Lin: Key Laboratory of Neuroeconomics, Guangzhou Huashang College, Guangzhou 511300, China
Dagang Li: School of Computer Science and Engineering, Macau University of Science and Technology, Macau 999078, China

Mathematics, 2025, vol. 13, issue 7, 1-16

Abstract: In addressing the issue of node classification with imbalanced data distribution, traditional models exhibit significant limitations. Conventional improvement methods, such as node replication or weight adjustment, often focus solely on nodes, neglecting connection relationships. However, numerous studies have demonstrated that optimizing edge distribution can improve the quality of node embeddings. In this paper, we propose the Edge and Node Collaborative Enhancement method (ENE-GCN). This method identifies potentially associated node pairs by similarity measures and constructs a hybrid adjacency matrix, which enlarges the fitting space of node embedding. Subsequently, an adversarial generation strategy is employed to augment the minority class nodes, thereby constructing a balanced sample set. Compared to existing methods, our approach achieves collaborative enhancement of both edges and nodes in a concise manner, improving embedding quality and balancing the training scenario. Experimental comparisons on four public graph datasets reveal that, compared to baseline methods, our proposed method achieves notable improvements in Recall and AUC metrics, particularly in sparsely connected datasets.

Keywords: edge enhancement; node enhancement; graph convolutional networks; imbalanced graph; node classification (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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