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GraphSMOTE: Imbalanced Node Classification on Graphs with Graph Neural Networks

arXiv 2103.08826 ↗First posted 16 Mar 2021cs.LGcited by 147

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Abstract (arXiv)

Node classification is an important research topic in graph learning. Graph neural networks (GNNs) have achieved state-of-the-art performance of node classification. However, existing GNNs address the problem where node samples for different classes are balanced; while for many real-world scenarios, some classes may have much fewer instances than others. Directly training a GNN classifier in this case would under-represent samples from those minority classes and result in sub-optimal performance. Therefore, it is very important to develop GNNs for imbalanced node classification. However, the work on this is rather limited. Hence, we seek to extend previous imbalanced learning techniques for i.i.d data to the imbalanced node classification task to facilitate GNN classifiers. In particular, we choose to adopt synthetic minority over-sampling algorithms, as they are found to be the most effective and stable. This task is non-trivial, as previous synthetic minority over-sampling algorithms fail to provide relation information for newly synthesized samples, which is vital for learning on graphs. Moreover, node attributes are high-dimensional. Directly over-sampling in the original input domain could generates out-of-domain samples, which may impair the accuracy of the classifier. We propose a novel framework, GraphSMOTE, in which an embedding space is constructed to encode the similarity among the nodes. New samples are synthesize in this space to assure genuineness. In addition, an edge generator is trained simultaneously to model the relation information, and provide it for those new samples. This framework is general and can be easily extended into different variations. The proposed framework is evaluated using three different datasets, and it outperforms all baselines with a large margin.

Key facts. Cited by 147 papers in the map (data through 7 Oct 2026). Builds on 18 of its 44 references that are in the map. First posted on arXiv 16 Mar 2021.

Builds on

18 of 44 references.

References · 18

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  2. 2017Inductive Representation Learning on Large Graphscited by 6,284
  3. 2018How Powerful are Graph Neural Networks?cited by 4,355
  4. 2017Neural Message Passing for Quantum Chemistrycited by 3,460
  5. 2018Graph Neural Networks: A Review of Methods and Applicationscited by 1,571
  6. 2014DeepWalk: Online Learning of Social Representationscited by 1,543
  7. 2013Spectral Networks and Locally Connected Networks on Graphscited by 1,097
  8. 2016Revisiting Semi-Supervised Learning with Graph Embeddingscited by 970
  9. 2015Convolutional Networks on Graphs for Learning Molecular Fingerprintscited by 751
  10. 2017A systematic study of the class imbalance problem in convolutional neural networkscited by 510
  11. 2016Learning Convolutional Neural Networks for Graphscited by 314
  12. 2015Diffusion-Convolutional Neural Networkscited by 268
6 more
  1. 2019Position-aware Graph Neural Networkscited by 203
  2. 2017Deep Over-sampling Framework for Classifying Imbalanced Datacited by 58
  3. 2017Object-Part Attention Model for Fine-grained Image Classificationcited by 54
  4. 2016Survey of resampling techniques for improving classification performance in unbalanced datasetscited by 32
  5. 2017The iNaturalist Species Classification and Detection Datasetcited by 28
  6. 2020Network Embedding with Completely-imbalanced Labelscited by 21

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 8; 2022: 28; 2023: 43; 2024: 29; 2025: 24; 2026: 15.

147 papers.

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  1. 2022Data Augmentation for Deep Graph Learning: A Surveycited by 132
  2. 2022A Comprehensive Survey on Trustworthy Graph Neural Networks: Privacy, Robustness, Fairness, and Explainabilitycited by 118
  3. 2021Towards Self-Explainable Graph Neural Networkcited by 75
  4. 2021NRGNN: Learning a Label Noise-Resistant Graph Neural Network on Sparsely and Noisily Labeled Graphscited by 73
  5. 2023A Comprehensive Survey on Deep Graph Representation Learningcited by 72
  6. 2022Towards Robust Graph Neural Networks for Noisy Graphs with Sparse Labelscited by 63
  7. 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 61
  8. 2021Topology-Imbalance Learning for Semi-Supervised Node Classificationcited by 56
  9. 2024A Survey of Graph Neural Networks in Real world: Imbalance, Noise, Privacy and OOD Challengescited by 54
  10. 2023Realistic Synthetic Financial Transactions for Anti-Money Laundering Modelscited by 47
  11. 2022TAM: Topology-Aware Margin Loss for Class-Imbalanced Node Classificationcited by 41
  12. 2024Deep Graph Anomaly Detection: A Survey and New Perspectivescited by 40
38 more
  1. 2021GraphMixup: Improving Class-Imbalanced Node Classification on Graphs by Self-supervised Context Predictioncited by 36
  2. 2022LTE4G: Long-Tail Experts for Graph Neural Networkscited by 30
  3. 2022A Survey on Graph Counterfactual Explanations: Definitions, Methods, Evaluation, and Research Challengescited by 30
  4. 2023Class-Imbalanced Graph Learning without Class Rebalancingcited by 29
  5. 2021Imbalanced Graph Classification via Graph-of-Graph Neural Networkscited by 27
  6. 2023Class-Imbalanced Learning on Graphs: A Surveycited by 24
  7. 2024Graph Neural Networks for Financial Fraud Detection: A Reviewcited by 24
  8. 2022Exploring Edge Disentanglement for Node Classificationcited by 23
  9. 2022Beyond Real-world Benchmark Datasets: An Empirical Study of Node Classification with GNNscited by 23
  10. 2023Generalizing Graph ODE for Learning Complex System Dynamics across Environmentscited by 23
  11. 2023Learning How to Propagate Messages in Graph Neural Networkscited by 23
  12. 2023Counterfactual Learning on Graphs: A Surveycited by 22
  13. 2024Rethinking Graph Backdoor Attacks: A Distribution-Preserving Perspectivecited by 22
  14. 2022ImGCL: Revisiting Graph Contrastive Learning on Imbalanced Node Classificationcited by 21
  15. 2024Contrastive Graph Representation Learning with Adversarial Cross-view Reconstruction and Information Bottleneckcited by 21
  16. 2024Partitioning Message Passing for Graph Fraud Detectioncited by 21
  17. 2022DAGAD: Data Augmentation for Graph Anomaly Detectioncited by 20
  18. 2022Graph Neural Network with Curriculum Learning for Imbalanced Node Classificationcited by 19
  19. 2023GraphSR: A Data Augmentation Algorithm for Imbalanced Node Classificationcited by 19
  20. 2025GraphMaster: Automated Graph Synthesis via LLM Agents in Data-Limited Environmentscited by 18
  21. 2021Label-Wise Graph Convolutional Network for Heterophilic Graphscited by 17
  22. 2023Toward Degree Bias in Embedding-Based Knowledge Graph Completioncited by 17
  23. 2023GraphSHA: Synthesizing Harder Samples for Class-Imbalanced Node Classificationcited by 17
  24. 2021Distance-wise Prototypical Graph Neural Network in Node Imbalance Classificationcited by 16
  25. 2023Towards Semi-supervised Universal Graph Classificationcited by 15
  26. 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directionscited by 15
  27. 2023Towards Data-centric Graph Machine Learning: Review and Outlookcited by 15
  28. 2022Federated Graph Machine Learning: A Survey of Concepts, Techniques, and Applicationscited by 14
  29. 2022Towards Faithful and Consistent Explanations for Graph Neural Networkscited by 13
  30. 2023Rethinking Semi-Supervised Imbalanced Node Classification from Bias-Variance Decompositioncited by 13
  31. 2024A Survey on Learning from Graphs with Heterophily: Recent Advances and Future Directionscited by 13
  32. 2022TopoImb: Toward Topology-level Imbalance in Learning from Graphscited by 12
  33. 2023Cost Sensitive GNN-based Imbalanced Learning for Mobile Social Network Fraud Detectioncited by 12
  34. 2022MM-GNN: Mix-Moment Graph Neural Network towards Modeling Neighborhood Feature Distributioncited by 11
  35. 2022Cadence Detection in Symbolic Classical Music using Graph Neural Networkscited by 11
  36. 2023BeMap: Balanced Message Passing for Fair Graph Neural Networkcited by 11
  37. 2023Improving Generalizability of Graph Anomaly Detection Models via Data Augmentationcited by 11
  38. 2023A Topological Perspective on Demystifying GNN-Based Link Prediction Performancecited by 11

50 most cited of 147 All 147 (JSON)