mlsanityData to 14 Oct 2026

Graph Adversarial Training: Dynamically Regularizing Based on Graph Structure

arXiv 1902.08226 ↗First posted 20 Feb 2019cs.LG cs.SI stat.MLcited by 93

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Abstract (arXiv)

Recent efforts show that neural networks are vulnerable to small but intentional perturbations on input features in visual classification tasks. Due to the additional consideration of connections between examples (eg articles with citation link tend to be in the same class), graph neural networks could be more sensitive to the perturbations, since the perturbations from connected examples exacerbate the impact on a target example. Adversarial Training (AT), a dynamic regularization technique, can resist the worst-case perturbations on input features and is a promising choice to improve model robustness and generalization. However, existing AT methods focus on standard classification, being less effective when training models on graph since it does not model the impact from connected examples. In this work, we explore adversarial training on graph, aiming to improve the robustness and generalization of models learned on graph. We propose Graph Adversarial Training (GraphAT), which takes the impact from connected examples into account when learning to construct and resist perturbations. We give a general formulation of GraphAT, which can be seen as a dynamic regularization scheme based on the graph structure. To demonstrate the utility of GraphAT, we employ it on a state-of-the-art graph neural network model --- Graph Convolutional Network (GCN). We conduct experiments on two citation graphs (Citeseer and Cora) and a knowledge graph (NELL), verifying the effectiveness of GraphAT which outperforms normal training on GCN by 4.51% in node classification accuracy. Codes are available via: https://github.com/fulifeng/GraphAT.

Key facts. Cited by 93 papers in the map (data through 14 Oct 2026). First posted on arXiv 20 Feb 2019.

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Citing papers per year: 2021: 22; 2022: 26; 2023: 19; 2024: 16; 2025: 5; 2026: 5.

93 papers.

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  1. 2022Data Augmentation for Deep Graph Learning: A Surveycited by 133
  2. 2022A Comprehensive Survey on Trustworthy Graph Neural Networks: Privacy, Robustness, Fairness, and Explainabilitycited by 118
  3. 2022Out-Of-Distribution Generalization on Graphs: A Surveycited by 97
  4. 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trendscited by 89
  5. 2022Understanding and Improving Graph Injection Attack by Promoting Unnoticeabilitycited by 62
  6. 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 62
  7. 2024A Survey of Graph Neural Networks in Real world: Imbalance, Noise, Privacy and OOD Challengescited by 54
  8. 2021Local Augmentation for Graph Neural Networkscited by 53
  9. 2021Model Stealing Attacks Against Inductive Graph Neural Networkscited by 50
  10. 2021Graph Robustness Benchmark: Benchmarking the Adversarial Robustness of Graph Machine Learningcited by 44
  11. 2023Are Defenses for Graph Neural Networks Robust?cited by 38
  12. 2023Adversarial Training for Graph Neural Networks: Pitfalls, Solutions, and New Directionscited by 28
38 more
  1. 2022Model Inversion Attacks against Graph Neural Networkscited by 26
  2. 2023ReConTab: Regularized Contrastive Representation Learning for Tabular Datacited by 25
  3. 2023Data-centric Graph Learning: A Surveycited by 22
  4. 2022Model-Agnostic Augmentation for Accurate Graph Classificationcited by 21
  5. 2022A Survey of Trustworthy Graph Learning: Reliability, Explainability, and Privacy Protectioncited by 20
  6. 2022Compressing Deep Graph Neural Networks via Adversarial Knowledge Distillationcited by 18
  7. 2024A Survey of Deep Graph Learning under Distribution Shifts: from Graph Out-of-Distribution Generalization to Adaptationcited by 17
  8. 2021SPADE: A Spectral Method for Black-Box Adversarial Robustness Evaluationcited by 16
  9. 2021Towards Robust Graph Contrastive Learningcited by 16
  10. 2022Motion Prediction via Joint Dependency Modeling in Phase Spacecited by 16
  11. 2022Defending Graph Convolutional Networks against Dynamic Graph Perturbations via Bayesian Self-supervisioncited by 16
  12. 2023Collective Robustness Certificates: Exploiting Interdependence in Graph Neural Networkscited by 16
  13. 2022Spectral Adversarial Training for Robust Graph Neural Networkcited by 12
  14. 2023Promoting Generalization for Exact Solvers via Adversarial Instance Augmentationcited by 12
  15. 2024A Simple and Yet Fairly Effective Defense for Graph Neural Networkscited by 12
  16. 2021Learning Human Motion Prediction via Stochastic Differential Equationscited by 11
  17. 2022Adversarial Camouflage for Node Injection Attack on Graphscited by 11
  18. 2024Safety in Graph Machine Learning: Threats and Safeguardscited by 11
  19. 2021SCR: Training Graph Neural Networks with Consistency Regularizationcited by 10
  20. 2022Recent Advances in Reliable Deep Graph Learning: Inherent Noise, Distribution Shift, and Adversarial Attackcited by 10
  21. 2021Understanding and Improvement of Adversarial Training for Network Embedding from an Optimization Perspectivecited by 9
  22. 2022Graph Augmentation Learningcited by 9
  23. 2023Robust Spatiotemporal Traffic Forecasting with Reinforced Dynamic Adversarial Trainingcited by 9
  24. 2024Bounding the Expected Robustness of Graph Neural Networks Subject to Node Feature Attackscited by 9
  25. 2021GraphAttacker: A General Multi-Task GraphAttack Frameworkcited by 8
  26. 2024DG-Mamba: Robust and Efficient Dynamic Graph Structure Learning with Selective State Space Modelscited by 8
  27. 2021Self-Training with Differentiable Teachercited by 7
  28. 2021Calibrating and Improving Graph Contrastive Learningcited by 6
  29. 2023Revisiting Initializing Then Refining: An Incomplete and Missing Graph Imputation Networkcited by 6
  30. 2024Adversarial Training: A Surveycited by 6
  31. 2023Adversarial Attacks and Defenses in Machine Learning-Powered Networks: A Contemporary Surveycited by 5
  32. 2024A Survey of Multimodal Composite Editing and Retrievalcited by 5
  33. 2025Democratizing Large Language Model-Based Graph Data Augmentation via Latent Knowledge Graphscited by 5
  34. 2022Toward Enhanced Robustness in Unsupervised Graph Representation Learning: A Graph Information Bottleneck Perspectivecited by 4
  35. 2022Learning Robust Representation through Graph Adversarial Contrastive Learningcited by 4
  36. 2022Robust Graph Neural Networks using Weighted Graph Laplaciancited by 4
  37. 2022EDoG: Adversarial Edge Detection For Graph Neural Networkscited by 4
  38. 2023IDEA: Invariant Defense for Graph Adversarial Robustnesscited by 4

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