mlsanityData to 7 Oct 2026

FairDrop: Biased Edge Dropout for Enhancing Fairness in Graph Representation Learning

arXiv 2104.14210 ↗First posted 29 Apr 2021cs.LG stat.MLcited by 68

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Abstract (arXiv)

Graph representation learning has become a ubiquitous component in many scenarios, ranging from social network analysis to energy forecasting in smart grids. In several applications, ensuring the fairness of the node (or graph) representations with respect to some protected attributes is crucial for their correct deployment. Yet, fairness in graph deep learning remains under-explored, with few solutions available. In particular, the tendency of similar nodes to cluster on several real-world graphs (i.e., homophily) can dramatically worsen the fairness of these procedures. In this paper, we propose a novel biased edge dropout algorithm (FairDrop) to counter-act homophily and improve fairness in graph representation learning. FairDrop can be plugged in easily on many existing algorithms, is efficient, adaptable, and can be combined with other fairness-inducing solutions. After describing the general algorithm, we demonstrate its application on two benchmark tasks, specifically, as a random walk model for producing node embeddings, and to a graph convolutional network for link prediction. We prove that the proposed algorithm can successfully improve the fairness of all models up to a small or negligible drop in accuracy, and compares favourably with existing state-of-the-art solutions. In an ablation study, we demonstrate that our algorithm can flexibly interpolate between biasing towards fairness and an unbiased edge dropout. Furthermore, to better evaluate the gains, we propose a new dyadic group definition to measure the bias of a link prediction task when paired with group-based fairness metrics. In particular, we extend the metric used to measure the bias in the node embeddings to take into account the graph structure.

Key facts. Cited by 68 papers in the map (data through 7 Oct 2026). Builds on 29 of its 52 references that are in the map. First posted on arXiv 29 Apr 2021.

Builds on

29 of 52 references.

References · 29

  1. 2014Adam: A Method for Stochastic Optimizationcited by 36,960
  2. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  3. 2017Graph Attention Networkscited by 8,854
  4. 2019A Comprehensive Survey on Graph Neural Networkscited by 2,906
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  6. 2016node2vec: Scalable Feature Learning for Networkscited by 1,913
  7. 2019A Survey on Bias and Fairness in Machine Learningcited by 1,911
  8. 2014DeepWalk: Online Learning of Social Representationscited by 1,543
  9. 2016Variational Graph Auto-Encoderscited by 1,373
  10. 2016Geometric deep learning: going beyond Euclidean datacited by 1,042
  11. 2017Counterfactual Fairnesscited by 802
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17 more
  1. 2019DropEdge: Towards Deep Graph Convolutional Networks on Node Classificationcited by 679
  2. 2019Measuring and Relieving the Over-smoothing Problem for Graph Neural Networks from the Topological Viewcited by 544
  3. 2017Algorithmic decision making and the cost of fairnesscited by 402
  4. 2018Deep Learning on Graphs: A Surveycited by 393
  5. 2020Combining Label Propagation and Simple Models Out-performs Graph Neural Networkscited by 199
  6. 2018Path-Specific Counterfactual Fairnesscited by 179
  7. 2017A Survey on Network Embeddingcited by 142
  8. 2019Compositional Fairness Constraints for Graph Embeddingscited by 126
  9. 2020Self-supervised Learning on Graphs: Deep Insights and New Directioncited by 108
  10. 2019A Gentle Introduction to Deep Learning for Graphscited by 107
  11. 2014Automated Experiments on Ad Privacy Settings: A Tale of Opacity, Choice, and Discriminationcited by 83
  12. 2020DeBayes: a Bayesian Method for Debiasing Network Embeddingscited by 55
  13. 2018How Do Fairness Definitions Fare? Examining Public Attitudes Towards Algorithmic Definitions of Fairnesscited by 48
  14. 2020Adaptive Propagation Graph Convolutional Networkcited by 31
  15. 2014On the Inductive Bias of Dropoutcited by 19
  16. 2018Conditional Network Embeddingscited by 15
  17. 2017Homophily and minority size explain perception biases in social networkscited by 7

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 13; 2023: 16; 2024: 15; 2025: 15; 2026: 9.

68 papers.

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  1. 2022Trustworthy Graph Neural Networks: Aspects, Methods and Trendscited by 88
  2. 2024Position: Topological Deep Learning is the New Frontier for Relational Learningcited by 65
  3. 2022Graph Data Augmentation for Graph Machine Learning: A Surveycited by 61
  4. 2023Demystifying Structural Disparity in Graph Neural Networks: Can One Size Fit All?cited by 41
  5. 2024A Comprehensive Survey on Data Augmentationcited by 38
  6. 2022Representation Bias in Data: A Survey on Identification and Resolution Techniquescited by 37
  7. 2023Fairness-Aware Graph Neural Networks: A Surveycited by 22
  8. 2023Data-centric Graph Learning: A Surveycited by 22
  9. 2022A Survey on Fairness for Machine Learning on Graphscited by 20
  10. 2024FairSIN: Achieving Fairness in Graph Neural Networks through Sensitive Information Neutralizationcited by 20
  11. 2023From Latent Graph to Latent Topology Inference: Differentiable Cell Complex Modulecited by 19
  12. 2023Permutation Equivariant Graph Framelets for Heterophilous Graph Learningcited by 19
38 more
  1. 2023The Devil is in the Data: Learning Fair Graph Neural Networks via Partial Knowledge Distillationcited by 16
  2. 2023A Survey of Imbalanced Learning on Graphs: Problems, Techniques, and Future Directionscited by 15
  3. 2024Fair Graph Representation Learning via Sensitive Attribute Disentanglementcited by 13
  4. 2022Adversarial Inter-Group Link Injection Degrades the Fairness of Graph Neural Networkscited by 12
  5. 2023FairGAT: Fairness-aware Graph Attention Networkscited by 12
  6. 2022Data Augmentation on Graphs: A Technical Surveycited by 10
  7. 2022Graph Learning with Localized Neighborhood Fairnesscited by 10
  8. 2024Fair GLASSO: Estimating Fair Graphical Models with Unbiased Statistical Behaviorcited by 9
  9. 2024One Fits All: Learning Fair Graph Neural Networks for Various Sensitive Attributescited by 9
  10. 2023Fairness-Aware Graph Filter Designcited by 8
  11. 2024FairDgcl: Fairness-aware Recommendation with Dynamic Graph Contrastive Learningcited by 8
  12. 2022Obtaining Dyadic Fairness by Optimal Transportcited by 6
  13. 2023Deceptive Fairness Attacks on Graphs via Meta Learningcited by 6
  14. 2024FairWire: Fair Graph Generationcited by 6
  15. 2022FairNorm: Fair and Fast Graph Neural Network Trainingcited by 4
  16. 2022FairMILE: Towards an Efficient Framework for Fair Graph Representation Learningcited by 4
  17. 2023Adversarial Attacks on Fairness of Graph Neural Networkscited by 4
  18. 2025FROG: Fair Removal on Graphscited by 4
  19. 2022Causally-guided Regularization of Graph Attention Improves Generalizabilitycited by 3
  20. 2024Enhancing Fairness in Unsupervised Graph Anomaly Detection through Disentanglementcited by 3
  21. 2024xAI-Drop: Don't Use What You Cannot Explaincited by 3
  22. 2025Enabling Group Fairness in Graph Unlearning via Bi-level Debiasingcited by 3
  23. 2023Drop Edges and Adapt: a Fairness Enforcing Fine-tuning for Graph Neural Networkscited by 2
  24. 2023Equipping Federated Graph Neural Networks with Structure-aware Group Fairnesscited by 2
  25. 2023Fairness-aware Optimal Graph Filter Designcited by 2
  26. 2024MAPPING: Debiasing Graph Neural Networks for Fair Node Classification with Limited Sensitive Information Leakagecited by 2
  27. 2025FairGSE: Fairness-Aware Graph Neural Network without High False Positive Ratescited by 2
  28. 2026Structural Bias Beyond Homophily: A Study of Fairness in Link Predictioncited by 2
  29. 2022Data Augmentation for Graph Data: Recent Advancementscited by 1
  30. 2023CAFIN: Centrality Aware Fairness inducing IN-processing for Unsupervised Representation Learning on Graphscited by 1
  31. 2024Debiasing Graph Representation Learning based on Information Bottleneckcited by 1
  32. 2024Toward Fair Graph Neural Networks Via Dual-Teacher Knowledge Distillationcited by 1
  33. 2025Trustworthy GNNs with LLMs: A Systematic Review and Taxonomycited by 1
  34. 2025Promoting Fairness in Information Access within Social Networkscited by 1
  35. 2026Efficient Edge Rewiring Strategies for Enhancing PageRank Fairnesscited by 1
  36. 2022Are Your Reviewers Being Treated Equally? Discovering Subgroup Structures to Improve Fairness in Spam Detectioncited by 0
  37. 2023Fair Graph Machine Learning under Adversarial Missingness Processescited by 0
  38. 2024Reproducibility Study Of Learning Fair Graph Representations Via Automated Data Augmentationscited by 0

50 most cited of 68 All 68 (JSON)