mlsanityData to 7 Oct 2026

Graph Structure Learning for Robust Graph Neural Networks

arXiv 2005.10203 ↗First posted 20 May 2020cs.LG cs.CR cs.SIcited by 368

Not on the map. Why?

Abstract (arXiv)

Graph Neural Networks (GNNs) are powerful tools in representation learning for graphs. However, recent studies show that GNNs are vulnerable to carefully-crafted perturbations, called adversarial attacks. Adversarial attacks can easily fool GNNs in making predictions for downstream tasks. The vulnerability to adversarial attacks has raised increasing concerns for applying GNNs in safety-critical applications. Therefore, developing robust algorithms to defend adversarial attacks is of great significance. A natural idea to defend adversarial attacks is to clean the perturbed graph. It is evident that real-world graphs share some intrinsic properties. For example, many real-world graphs are low-rank and sparse, and the features of two adjacent nodes tend to be similar. In fact, we find that adversarial attacks are likely to violate these graph properties. Therefore, in this paper, we explore these properties to defend adversarial attacks on graphs. In particular, we propose a general framework Pro-GNN, which can jointly learn a structural graph and a robust graph neural network model from the perturbed graph guided by these properties. Extensive experiments on real-world graphs demonstrate that the proposed framework achieves significantly better performance compared with the state-of-the-art defense methods, even when the graph is heavily perturbed. We release the implementation of Pro-GNN to our DeepRobust repository for adversarial attacks and defenses (footnote: https://github.com/DSE-MSU/DeepRobust). The specific experimental settings to reproduce our results can be found in https://github.com/ChandlerBang/Pro-GNN.

Key facts. Cited by 368 papers in the map (data through 7 Oct 2026). First posted on arXiv 20 May 2020.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 43; 2022: 69; 2023: 80; 2024: 84; 2025: 53; 2026: 39.

368 papers.

Sort:

By area:

  1. 2023NodeFormer: A Scalable Graph Structure Learning Transformer for Node Classificationcited by 207
  2. 2022Handling Distribution Shifts on Graphs: An Invariance Perspectivecited by 163
  3. 2021Graph Condensation for Graph Neural Networkscited by 150
  4. 2021Subgraph Federated Learning with Missing Neighbor Generationcited by 132
  5. 2022Data Augmentation for Deep Graph Learning: A Surveycited by 132
  6. 2021Interpreting and Unifying Graph Neural Networks with An Optimization Frameworkcited by 131
  7. 2022A Comprehensive Survey on Trustworthy Graph Neural Networks: Privacy, Robustness, Fairness, and Explainabilitycited by 118
  8. 2021An Empirical Study of Graph Contrastive Learningcited by 113
  9. 2022Towards Unsupervised Deep Graph Structure Learningcited by 112
  10. 2021SLAPS: Self-Supervision Improves Structure Learning for Graph Neural Networkscited by 108
  11. 2022Condensing Graphs via One-Step Gradient Matchingcited by 100
  12. 2021Trustworthy AI: A Computational Perspectivecited by 93
38 more
  1. 2021EDITS: Modeling and Mitigating Data Bias for Graph Neural Networkscited by 92
  2. 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trendscited by 88
  3. 2021GraphEBM: Molecular Graph Generation with Energy-Based Modelscited by 85
  4. 2021Mining Latent Structures for Multimedia Recommendationcited by 79
  5. 2021Towards Self-Explainable Graph Neural Networkcited by 75
  6. 2024OpenGraph: Towards Open Graph Foundation Modelscited by 75
  7. 2023A Comprehensive Survey on Deep Graph Representation Learningcited by 72
  8. 2021A Survey on Graph Structure Learning: Progress and Opportunitiescited by 70
  9. 2022A Survey on Deep Graph Generation: Methods and Applicationscited by 69
  10. 2021Elastic Graph Neural Networkscited by 67
  11. 2022Empowering Graph Representation Learning with Test-Time Graph Transformationcited by 66
  12. 2022Towards Robust Graph Neural Networks for Noisy Graphs with Sparse Labelscited by 63
  13. 2022Understanding and Improving Graph Injection Attack by Promoting Unnoticeabilitycited by 62
  14. 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 61
  15. 2022Simple Contrastive Graph Clusteringcited by 56
  16. 2024A Survey of Graph Neural Networks in Real world: Imbalance, Noise, Privacy and OOD Challengescited by 54
  17. 2021Graph Trend Filtering Networks for Recommendationscited by 53
  18. 2024AnyGraph: Graph Foundation Model in the Wildcited by 51
  19. 2021Automated Self-Supervised Learning for Graphscited by 50
  20. 2023GSLB: The Graph Structure Learning Benchmarkcited by 49
  21. 2023Does Graph Distillation See Like Vision Dataset Counterpart?cited by 45
  22. 2021Graph Robustness Benchmark: Benchmarking the Adversarial Robustness of Graph Machine Learningcited by 44
  23. 2025Multi-Domain Graph Foundation Models: Robust Knowledge Transfer via Topology Alignmentcited by 41
  24. 2022Spectral Augmentation for Self-Supervised Learning on Graphscited by 38
  25. 2023Are Defenses for Graph Neural Networks Robust?cited by 38
  26. 2023Knowledge Distillation on Graphs: A Surveycited by 38
  27. 2024A Comprehensive Survey on Data Augmentationcited by 38
  28. 2021How to Certify Machine Learning Based Safety-critical Systems? A Systematic Literature Reviewcited by 36
  29. 2023SE-GSL: A General and Effective Graph Structure Learning Framework through Structural Entropy Optimizationcited by 35
  30. 2022Reliable Representations Make A Stronger Defender: Unsupervised Structure Refinement for Robust GNNcited by 34
  31. 2023Mind the Label Shift of Augmentation-based Graph OOD Generalizationcited by 34
  32. 2024GraphEdit: Large Language Models for Graph Structure Learningcited by 33
  33. 2022Position-aware Structure Learning for Graph Topology-imbalance by Relieving Under-reaching and Over-squashingcited by 31
  34. 2024A Review of Graph Neural Networks in Epidemic Modelingcited by 31
  35. 2022Evidence-aware Fake News Detection with Graph Neural Networkscited by 30
  36. 2022On the Robustness of Graph Neural Diffusion to Topology Perturbationscited by 30
  37. 2023OpenGSL: A Comprehensive Benchmark for Graph Structure Learningcited by 30
  38. 2022DropMessage: Unifying Random Dropping for Graph Neural Networkscited by 29

50 most cited of 368 All 368 (JSON)