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Representation Learning on Graphs: Methods and Applications

arXiv 1709.05584 ↗First posted 17 Sep 2017cs.SI cs.LGcited by 457

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Abstract (arXiv)

Machine learning on graphs is an important and ubiquitous task with applications ranging from drug design to friendship recommendation in social networks. The primary challenge in this domain is finding a way to represent, or encode, graph structure so that it can be easily exploited by machine learning models. Traditionally, machine learning approaches relied on user-defined heuristics to extract features encoding structural information about a graph (e.g., degree statistics or kernel functions). However, recent years have seen a surge in approaches that automatically learn to encode graph structure into low-dimensional embeddings, using techniques based on deep learning and nonlinear dimensionality reduction. Here we provide a conceptual review of key advancements in this area of representation learning on graphs, including matrix factorization-based methods, random-walk based algorithms, and graph neural networks. We review methods to embed individual nodes as well as approaches to embed entire (sub)graphs. In doing so, we develop a unified framework to describe these recent approaches, and we highlight a number of important applications and directions for future work.

Key facts. Cited by 457 papers in the map (data through 14 Oct 2026). First posted on arXiv 17 Sep 2017.

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 146; 2022: 109; 2023: 69; 2024: 62; 2025: 50; 2026: 21.

457 papers.

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  1. 2022Diffusion Models: A Comprehensive Survey of Methods and Applicationscited by 1,114
  2. 2023Graph of Thoughts: Solving Elaborate Problems with Large Language Modelscited by 886
  3. 2021A Comprehensive Survey on Graph Anomaly Detection with Deep Learningcited by 230
  4. 2022Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNscited by 214
  5. 2021Adversarial Graph Augmentation to Improve Graph Contrastive Learningcited by 200
  6. 2021Inductive Representation Learning in Temporal Networks via Causal Anonymous Walkscited by 193
  7. 2021GraphFormers: GNN-nested Transformers for Representation Learning on Textual Graphcited by 143
  8. 2021Global Self-Attention as a Replacement for Graph Convolutioncited by 114
  9. 2021Combinatorial Optimization with Physics-Inspired Graph Neural Networkscited by 108
  10. 2022Decoupling the Depth and Scope of Graph Neural Networkscited by 94
  11. 2021Signal Processing on Higher-Order Networks: Livin' on the Edge ... and Beyondcited by 82
  12. 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 81
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  1. 2021Graph Representation Learning in Biomedicinecited by 80
  2. 2021Graph-based Semi-supervised Learning: A Comprehensive Reviewcited by 79
  3. 2021DIG: A Turnkey Library for Diving into Graph Deep Learning Researchcited by 76
  4. 2021ProGCL: Rethinking Hard Negative Mining in Graph Contrastive Learningcited by 72
  5. 2022A Survey on Deep Graph Generation: Methods and Applicationscited by 69
  6. 2021Codabench: Flexible, Easy-to-Use and Reproducible Benchmarking Platformcited by 66
  7. 2022A Survey on Graph Representation Learning Methodscited by 66
  8. 2024Position: Topological Deep Learning is the New Frontier for Relational Learningcited by 66
  9. 2022DGraph: A Large-Scale Financial Dataset for Graph Anomaly Detectioncited by 63
  10. 2024Demystifying Chains, Trees, and Graphs of Thoughtscited by 63
  11. 2022Understanding and Improving Graph Injection Attack by Promoting Unnoticeabilitycited by 62
  12. 2022Theory of Graph Neural Networks: Representation and Learningcited by 61
  13. 2021A Survey on Embedding Dynamic Graphscited by 60
  14. 2022Does GNN Pretraining Help Molecular Representation?cited by 60
  15. 2021Scalable and Adaptive Graph Neural Networks with Self-Label-Enhanced trainingcited by 54
  16. 2024GKAN: Graph Kolmogorov-Arnold Networkscited by 53
  17. 2022A Short Tutorial on The Weisfeiler-Lehman Test And Its Variantscited by 52
  18. 2021BGL: GPU-Efficient GNN Training by Optimizing Graph Data I/O and Preprocessingcited by 50
  19. 2021On Positional and Structural Node Features for Graph Neural Networks on Non-attributed Graphscited by 49
  20. 2022GAP: Differentially Private Graph Neural Networks with Aggregation Perturbationcited by 46
  21. 2023Generalization in Graph Neural Networks: Improved PAC-Bayesian Bounds on Graph Diffusioncited by 40
  22. 2021Automated Machine Learning on Graphs: A Surveycited by 39
  23. 2021Lipschitz Normalization for Self-Attention Layers with Application to Graph Neural Networkscited by 39
  24. 2021A Review of Biomedical Datasets Relating to Drug Discovery: A Knowledge Graph Perspectivecited by 38
  25. 2022Is Neuro-Symbolic AI Meeting its Promise in Natural Language Processing? A Structured Reviewcited by 38
  26. 2023Simple and Asymmetric Graph Contrastive Learning without Augmentationscited by 38
  27. 2023A Survey on Graph Diffusion Models: Generative AI in Science for Molecule, Protein and Materialcited by 35
  28. 2023Graph Positional and Structural Encodercited by 33
  29. 2021ReGVD: Revisiting Graph Neural Networks for Vulnerability Detectioncited by 32
  30. 2022FP-GNN: a versatile deep learning architecture for enhanced molecular property predictioncited by 31
  31. 2022Metropolis-Hastings Data Augmentation for Graph Neural Networkscited by 30
  32. 2024A Comprehensive Survey of Dynamic Graph Neural Networks: Models, Frameworks, Benchmarks, Experiments and Challengescited by 30
  33. 2021Marius: Learning Massive Graph Embeddings on a Single Machinecited by 29
  34. 2022Parallel and Distributed Graph Neural Networks: An In-Depth Concurrency Analysiscited by 29
  35. 2022Graph Neural Networks with Adaptive Readoutscited by 29
  36. 2021Fair Representation Learning for Heterogeneous Information Networkscited by 28
  37. 2022MGAE: Masked Autoencoders for Self-Supervised Learning on Graphscited by 28
  38. 2022Graph Auto-Encoder Via Neighborhood Wasserstein Reconstructioncited by 28

50 most cited of 457 All 457 (JSON)