Graph Learning: A Survey
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Abstract (arXiv)
Graphs are widely used as a popular representation of the network structure of connected data. Graph data can be found in a broad spectrum of application domains such as social systems, ecosystems, biological networks, knowledge graphs, and information systems. With the continuous penetration of artificial intelligence technologies, graph learning (i.e., machine learning on graphs) is gaining attention from both researchers and practitioners. Graph learning proves effective for many tasks, such as classification, link prediction, and matching. Generally, graph learning methods extract relevant features of graphs by taking advantage of machine learning algorithms. In this survey, we present a comprehensive overview on the state-of-the-art of graph learning. Special attention is paid to four categories of existing graph learning methods, including graph signal processing, matrix factorization, random walk, and deep learning. Major models and algorithms under these categories are reviewed respectively. We examine graph learning applications in areas such as text, images, science, knowledge graphs, and combinatorial optimization. In addition, we discuss several promising research directions in this field.
Key facts. Cited by 140 papers in the map (data through 7 Oct 2026). Builds on 90 of its 190 references that are in the map. First posted on arXiv 3 May 2021.
Builds on
90 of 190 references.
References · 90
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- 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
- 2017Graph Attention Networkscited by 8,854
- 2017Inductive Representation Learning on Large Graphscited by 6,284
- 2017Neural Message Passing for Quantum Chemistrycited by 3,460
- 2019A Comprehensive Survey on Graph Neural Networkscited by 2,906
- 2016Convolutional Neural Networks on Graphs with Fast Localized Spectral Filteringcited by 2,085
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- 2017Modeling Relational Data with Graph Convolutional Networkscited by 1,684
- 2014DeepWalk: Online Learning of Social Representationscited by 1,543
- 2016Variational Graph Auto-Encoderscited by 1,373
- 2018Spatial Temporal Graph Convolutional Networks for Skeleton-Based Action Recognitioncited by 1,199
38 more
- 2017Spatio-Temporal Graph Convolutional Networks: A Deep Learning Framework for Traffic Forecastingcited by 1,125
- 2013Spectral Networks and Locally Connected Networks on Graphscited by 1,097
- 2016Revisiting Semi-Supervised Learning with Graph Embeddingscited by 970
- 2014Embedding Entities and Relations for Learning and Inference in Knowledge Basescited by 929
- 2019Graph WaveNet for Deep Spatial-Temporal Graph Modelingcited by 820
- 2015Convolutional Networks on Graphs for Learning Molecular Fingerprintscited by 751
- 2019Self-supervised Visual Feature Learning with Deep Neural Networks: A Surveycited by 656
- 2020A Survey on Knowledge Graphs: Representation, Acquisition and Applicationscited by 643
- 2016Neural Combinatorial Optimization with Reinforcement Learningcited by 600
- 2015LINE: Large-scale Information Network Embeddingcited by 582
- 2017Learning Combinatorial Optimization Algorithms over Graphscited by 557
- 2017Zero-Shot Learning -- A Comprehensive Evaluation of the Good, the Bad and the Uglycited by 536
- 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 503
- 2016Geometric deep learning on graphs and manifolds using mixture model CNNscited by 468
- 2017Graph Signal Processing: Overview, Challenges and Applicationscited by 409
- 2018Deep Learning on Graphs: A Surveycited by 393
- 2018Graph Convolutional Networks for Text Classificationcited by 345
- 2016Learning Convolutional Neural Networks for Graphscited by 314
- 2015Diffusion-Convolutional Neural Networkscited by 268
- 2015A Review of Relational Machine Learning for Knowledge Graphscited by 264
- 2017A Comprehensive Survey of Graph Embedding: Problems, Techniques and Applicationscited by 260
- 2015Deep Convolutional Networks on Graph-Structured Datacited by 246
- 2017graph2vec: Learning Distributed Representations of Graphscited by 228
- 2018Learning Deep Generative Models of Graphscited by 227
- 2017Learning to Represent Programs with Graphscited by 219
- 2017struc2vec: Learning Node Representations from Structural Identitycited by 214
- 2017Graph Embedding Techniques, Applications, and Performance: A Surveycited by 188
- 2014Graph-based Anomaly Detection and Description: A Surveycited by 182
- 2018GaAN: Gated Attention Networks for Learning on Large and Spatiotemporal Graphscited by 164
- 2016How to learn a graph from smooth signalscited by 146
- 2017Encoding Sentences with Graph Convolutional Networks for Semantic Role Labelingcited by 137
- 2017Heterogeneous Information Network Embedding for Recommendationcited by 133
- 2018NetGAN: Generating Graphs via Random Walkscited by 129
- 2017GraphGAN: Graph Representation Learning with Generative Adversarial Netscited by 121
- 2018Large-Scale Learnable Graph Convolutional Networkscited by 113
- 2014word2vec Explained: deriving Mikolov et al.'s negative-sampling word-embedding methodcited by 109
- 2015A Survey of Heterogeneous Information Network Analysiscited by 109
- 2017Network Representation Learning: A Surveycited by 101
50 most cited of 90 All 90 (JSON)
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Citing papers per year: 2021: 7; 2022: 21; 2023: 23; 2024: 38; 2025: 35; 2026: 16.
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- 2023Exploring the Potential of Large Language Models (LLMs) in Learning on Graphscited by 271
- 2022CLEVR-Math: A Dataset for Compositional Language, Visual and Mathematical Reasoningcited by 119
- 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodalcited by 106
- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
- 2023A Comprehensive Survey on Deep Graph Representation Learningcited by 72
- 2023Knowledge Graphs: Opportunities and Challengescited by 70
- 2022A Survey on Graph Representation Learning Methodscited by 66
- 2023Graph Neural Networks for temporal graphs: State of the art, open challenges, and opportunitiescited by 60
- 2021Anomaly Detection in Dynamic Graphs via Transformercited by 57
- 2025RAG vs. GraphRAG: A Systematic Evaluation and Key Insightscited by 51
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- 2023Permutation Equivariant Graph Framelets for Heterophilous Graph Learningcited by 19
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- 2024Unifying Unsupervised Graph-Level Anomaly Detection and Out-of-Distribution Detection: A Benchmarkcited by 18
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- 2023Correlation-aware Spatial-Temporal Graph Learning for Multivariate Time-series Anomaly Detectioncited by 17
- 2024Graph Learning under Distribution Shifts: A Comprehensive Survey on Domain Adaptation, Out-of-distribution, and Continual Learningcited by 17
- 2021Towards Graph Self-Supervised Learning with Contrastive Adjusted Zoomingcited by 15
- 2022Graph Learning for Anomaly Analytics: Algorithms, Applications, and Challengescited by 15
- 2022CenGCN: Centralized Convolutional Networks with Vertex Imbalance for Scale-Free Graphscited by 14
- 2022Deep Graph Learning for Anomalous Citation Detectioncited by 14
- 2024Tensor-view Topological Graph Neural Networkcited by 12
- 2024Higher-order Structure Based Anomaly Detection on Attributed Networkscited by 12
- 2024Continual Learning on Graphs: A Surveycited by 11
- 2024FUGNN: Harmonizing Fairness and Utility in Graph Neural Networkscited by 11
- 2025Long-range Brain Graph Transformercited by 11
- 2023A Survey of Graph Prompting Methods: Techniques, Applications, and Challengescited by 10
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- 2023Affinity Uncertainty-based Hard Negative Mining in Graph Contrastive Learningcited by 9
- 2023Topological Pooling on Graphscited by 9
- 2024Graph-Jigsaw Conditioned Diffusion Model for Skeleton-based Video Anomaly Detectioncited by 9
- 2022Unsupervised Network Embedding Beyond Homophilycited by 7
- 2023Quantum Graph Learning: Frontiers and Outlookcited by 6
- 2023Knowledge-augmented Graph Machine Learning for Drug Discovery: A Surveycited by 6
- 2023Entropy Causal Graphs for Multivariate Time Series Anomaly Detectioncited by 6
- 2024A Community Detection and Graph Neural Network Based Link Prediction Approach for Scientific Literaturecited by 6
- 2024Deep Outdated Fact Detection in Knowledge Graphscited by 6
- 2021Sparse Graph Learning Under Laplacian-Related Constraintscited by 5
- 2022Exploring Human Mobility for Multi-Pattern Passenger Prediction: A Graph Learning Frameworkcited by 5
- 2022MetaGL: Evaluation-Free Selection of Graph Learning Models via Meta-Learningcited by 5
- 2023RNA-KG: An ontology-based knowledge graph for representing interactions involving RNA moleculescited by 5
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- 2026Same Graph Cross-Task Transfer in GNNs: Protocols and Predictors30 Jul 2026
- 2026Practical advantage beyond the quadratic speedup limit with fully-quantum walks24 Jul 2026
- 2026Direction-Magnitude Decomposition for Low-Rank Matrix Optimization: Faster Convergence and Saddle-to-saddle Dynamics30 Jun 2026
- 2026PromptDyG: Test-Time Prompt Adaptation on Dynamic Graphs22 Jun 2026
- 2026AbstainGNN: Teaching Graph Neural Networks to Abstain for Graph Classification29 May 2026
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Sparse Graph Learning from Sparse Data via Fiedler Number Maximization28 Apr 2026
- 2026Curvature-Aware PCA with Geodesic Tangent Space Aggregation for Semi-Supervised Learning20 Apr 2026
- 2026Train-Small Deploy-Large: Leveraging Diffusion-Based Multi-Robot Planning8 Apr 2026
- 2026Learning Superpixel Ensemble and Hierarchy Graphs for Melanoma Detection4 Apr 2026
- 2026Disentangled Graph Prompting for Out-Of-Distribution Detection31 Mar 2026
- 2026Graph-Aware Stealthy Poison-Text Backdoors for Text-Attributed Graphs20 Mar 2026
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- 2026RAG-GFM: Overcoming In-Memory Bottlenecks in Graph Foundation Models via Retrieval-Augmented Generation21 Jan 2026
- 2026DynaSTy: A Framework for SpatioTemporal Node Attribute Prediction in Dynamic Graphs8 Jan 2026
- 2025AL-GNN: Privacy-Preserving and Replay-Free Continual Graph Learning via Analytic Learning20 Dec 2025
- 2025BUILD with Precision: Bottom-Up Inference of Linear DAGs18 Dec 2025
- 2025Learning Conditional Independence Differential Graphs From Time-Dependent Data7 Dec 2025
- 2025Improving Graph Embeddings in Machine Learning Using Knowledge Completion with Validation in a Case Study on COVID-19 Spread15 Nov 2025
- 2025Higher-Order Regularization Learning on Hypergraphs30 Oct 2025
- 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutions17 Oct 2025
- 2025Unveiling the Vulnerability of Graph-LLMs: An Interpretable Multi-Dimensional Adversarial Attack on TAGs14 Oct 2025
- 2025Are Heterogeneous Graph Neural Networks Truly Effective for Node Classification? A Causal Perspective7 Oct 2025
- 2025LLM-based Agents Suffer from Hallucinations: A Survey of Taxonomy, Methods, and Directions23 Sep 2025
- 2025Data-Efficient Psychiatric Disorder Detection via Self-supervised Learning on Frequency-enhanced Brain Networks4 Sep 2025
- 2025HGCN(O): A Self-Tuning GCN HyperModel Toolkit for Outcome Prediction in Event-Sequence Data30 Jul 2025
- 2025Reconciling Attribute and Structural Anomalies for Improved Graph Anomaly Detection30 Jun 2025
- 2025PyTorch-based Geometric Learning with Non-CUDA Processing Units: Experiences from Intel Gaudi-v2 HPUs20 Jun 2025
- 2025Heterogeneous Temporal Hypergraph Neural Network18 Jun 2025
- 2025Dynamic Graph Condensation16 Jun 2025
- 2025Denoising Programming Knowledge Tracing with a Code Graph-based Tuning Adaptor7 Jun 2025
- 2025Refined Causal Graph Structure Learning via Curvature for Brain Disease Classification30 May 2025
- 2025SpectralGap: Graph-Level Out-of-Distribution Detection via Laplacian Eigenvalue Gaps21 May 2025
- 2025Nonparametric Teaching for Graph Property Learners20 May 2025
- 2025Hypergraph Neural Sheaf Diffusion: A Symmetric Simplicial Set Framework for Higher-Order Learning9 May 2025
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- 2025Robust Orthogonal NMF with Label Propagation for Image Clustering30 Apr 2025
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- 2025Monocular visual simultaneous localization and mapping: (r)evolution from geometry to deep learning-based pipelines4 Mar 2025
- 2025Hierarchical graph sampling based minibatch learning with chain preservation and variance reduction2 Mar 2025
- 2025Factor Graph-based Interpretable Neural Networks20 Feb 2025
- 2025RAG vs. GraphRAG: A Systematic Evaluation and Key Insights17 Feb 2025
- 2025Trustworthy GNNs with LLMs: A Systematic Review and Taxonomy12 Feb 2025
- 2025Mask-informed Deep Contrastive Incomplete Multi-view Clustering4 Feb 2025
- 2025Graph Representation Learning with Diffusion Generative Models22 Jan 2025
- 2025Mixture-of-Experts Graph Transformers for Interpretable Particle Collision Detection6 Jan 2025
- 2025MixGCN: Scalable GCN Training by Mixture of Parallelism and Mixture of Accelerators3 Jan 2025
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- 2023Generative Diffusion Models on Graphs: Methods and Applicationscited by 79
- 2024Graph-Jigsaw Conditioned Diffusion Model for Skeleton-based Video Anomaly Detectioncited by 9
- 2025Graph Representation Learning with Diffusion Generative Modelscited by 2
- 2021A graph representation based on fluid diffusion model for data analysis: theoretical aspects and enhanced community detectioncited by 1
- 2026Train-Small Deploy-Large: Leveraging Diffusion-Based Multi-Robot Planningcited by 0
- 2026Train-Small Deploy-Large: Leveraging Diffusion-Based Multi-Robot Planning8 Apr 2026
- 2025Graph Representation Learning with Diffusion Generative Models22 Jan 2025
- 2024Graph-Jigsaw Conditioned Diffusion Model for Skeleton-based Video Anomaly Detection18 Mar 2024
- 2023Generative Diffusion Models on Graphs: Methods and Applications6 Feb 2023
- 2021A graph representation based on fluid diffusion model for data analysis: theoretical aspects and enhanced community detection7 Dec 2021
- 2023Exploring the Potential of Large Language Models (LLMs) in Learning on Graphscited by 271
- 2022A Survey of Knowledge Graph Reasoning on Graph Types: Static, Dynamic, and Multimodalcited by 106
- 2023A Comprehensive Survey on Deep Graph Representation Learningcited by 72
- 2023Knowledge Graphs: Opportunities and Challengescited by 70
- 2022A Survey on Graph Representation Learning Methodscited by 66
- 2023Graph Neural Networks for temporal graphs: State of the art, open challenges, and opportunitiescited by 60
- 2021Anomaly Detection in Dynamic Graphs via Transformercited by 57
- 2024Graph Transformers: A Surveycited by 32
- 2022Graph Lifelong Learning: A Surveycited by 30
- 2024Privacy Leakage on DNNs: A Survey of Model Inversion Attacks and Defensescited by 30
- 2024FairGT: A Fairness-aware Graph Transformercited by 29
- 2021Moving Object Detection for Event-based vision using Graph Spectral Clusteringcited by 28
12 most cited of 129 All 129 (JSON)
- 2026Same Graph Cross-Task Transfer in GNNs: Protocols and Predictors30 Jul 2026
- 2026Practical advantage beyond the quadratic speedup limit with fully-quantum walks24 Jul 2026
- 2026Direction-Magnitude Decomposition for Low-Rank Matrix Optimization: Faster Convergence and Saddle-to-saddle Dynamics30 Jun 2026
- 2026PromptDyG: Test-Time Prompt Adaptation on Dynamic Graphs22 Jun 2026
- 2026AbstainGNN: Teaching Graph Neural Networks to Abstain for Graph Classification29 May 2026
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Sparse Graph Learning from Sparse Data via Fiedler Number Maximization28 Apr 2026
- 2026Curvature-Aware PCA with Geodesic Tangent Space Aggregation for Semi-Supervised Learning20 Apr 2026
- 2026Learning Superpixel Ensemble and Hierarchy Graphs for Melanoma Detection4 Apr 2026
- 2026Disentangled Graph Prompting for Out-Of-Distribution Detection31 Mar 2026
- 2026CITED: A Decision Boundary-Aware Signature for GNNs Towards Model Extraction Defense23 Feb 2026
- 2026Spiking Graph Predictive Coding for Reliable OOD Generalization22 Feb 2026
12 newest of 129 All 129 (JSON)