Graph Structure Refinement with Energy-based Contrastive Learning
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Abstract (arXiv)
Graph Neural Networks (GNNs) have recently gained widespread attention as a successful tool for analyzing graph-structured data. However, imperfect graph structure with noisy links lacks enough robustness and may damage graph representations, therefore limiting the GNNs' performance in practical tasks. Moreover, existing generative architectures fail to fit discriminative graph-related tasks. To tackle these issues, we introduce an unsupervised method based on a joint of generative training and discriminative training to learn graph structure and representation, aiming to improve the discriminative performance of generative models. We propose an Energy-based Contrastive Learning (ECL) guided Graph Structure Refinement (GSR) framework, denoted as ECL-GSR. To our knowledge, this is the first work to combine energy-based models with contrastive learning for GSR. Specifically, we leverage ECL to approximate the joint distribution of sample pairs, which increases the similarity between representations of positive pairs while reducing the similarity between negative ones. Refined structure is produced by augmenting and removing edges according to the similarity metrics among node representations. Extensive experiments demonstrate that ECL-GSR outperforms the state-of-the-art on eight benchmark datasets in node classification. ECL-GSR achieves faster training with fewer samples and memories against the leading baseline, highlighting its simplicity and efficiency in downstream tasks.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). Builds on 47 of its 74 references that are in the map. First posted on arXiv 20 Dec 2024.
Builds on
47 of 74 references.
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35 more
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Built on by
Citing papers per year: 2025: 1; 2026: 2.
3 papers.
- 2026ERAlign: Energy-based Representation Alignment of GNNs and LLMs on Text-attributed Graphscited by 1
- 2025MissionHD: Hyperdimensional Refinement of Distribution-Deficient Reasoning Graphs for Video Anomaly Detectioncited by 0
- 2026PlugSI: Plug-and-Play Test-Time Graph Adaptation for Spatial Interpolationcited by 0
- 2026ERAlign: Energy-based Representation Alignment of GNNs and LLMs on Text-attributed Graphs9 Jun 2026
- 2026PlugSI: Plug-and-Play Test-Time Graph Adaptation for Spatial Interpolation10 Feb 2026
- 2025MissionHD: Hyperdimensional Refinement of Distribution-Deficient Reasoning Graphs for Video Anomaly Detection20 Aug 2025