Non-Local Graph Neural Networks
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Abstract (arXiv)
Modern graph neural networks (GNNs) learn node embeddings through multilayer local aggregation and achieve great success in applications on assortative graphs. However, tasks on disassortative graphs usually require non-local aggregation. In addition, we find that local aggregation is even harmful for some disassortative graphs. In this work, we propose a simple yet effective non-local aggregation framework with an efficient attention-guided sorting for GNNs. Based on it, we develop various non-local GNNs. We perform thorough experiments to analyze disassortative graph datasets and evaluate our non-local GNNs. Experimental results demonstrate that our non-local GNNs significantly outperform previous state-of-the-art methods on seven benchmark datasets of disassortative graphs, in terms of both model performance and efficiency.
Key facts. Cited by 91 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 May 2020.
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Citing papers per year: 2021: 21; 2022: 15; 2023: 22; 2024: 21; 2025: 8; 2026: 4.
91 papers.
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- 2021Beyond Low-frequency Information in Graph Convolutional Networkscited by 361
- 2021Large Scale Learning on Non-Homophilous Graphs: New Benchmarks and Strong Simple Methodscited by 309
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2021Two Sides of the Same Coin: Heterophily and Oversmoothing in Graph Convolutional Neural Networkscited by 182
- 2022Finding Global Homophily in Graph Neural Networks When Meeting Heterophilycited by 179
- 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
- 2022Revisiting Heterophily For Graph Neural Networkscited by 169
- 2021Breaking the Limit of Graph Neural Networks by Improving the Assortativity of Graphs with Local Mixing Patternscited by 95
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2021GraphEBM: Molecular Graph Generation with Energy-Based Modelscited by 85
- 2021Is Heterophily A Real Nightmare For Graph Neural Networks To Do Node Classification?cited by 82
- 2021New Benchmarks for Learning on Non-Homophilous Graphscited by 81
38 more
- 2022A Survey on Graph Representation Learning Methodscited by 66
- 2021Universal Approximation of Functions on Setscited by 62
- 2021Cold Brew: Distilling Graph Node Representations with Incomplete or Missing Neighborhoodscited by 57
- 2022A Non-Asymptotic Analysis of Oversmoothing in Graph Neural Networkscited by 49
- 2023Ewald-based Long-Range Message Passing for Molecular Graphscited by 46
- 2022Graph Auto-Encoder Via Neighborhood Wasserstein Reconstructioncited by 28
- 2021Graph Pointer Neural Networkscited by 27
- 2023Probabilistically Rewired Message-Passing Neural Networkscited by 26
- 2022HL-Net: Heterophily Learning Network for Scene Graph Generationcited by 22
- 2021How does Heterophily Impact the Robustness of Graph Neural Networks? Theoretical Connections and Practical Implicationscited by 21
- 2024Partitioning Message Passing for Graph Fraud Detectioncited by 21
- 2022Complete the Missing Half: Augmenting Aggregation Filtering with Diversification for Graph Convolutional Neural Networkscited by 19
- 2021Beyond Low-Pass Filters: Adaptive Feature Propagation on Graphscited by 18
- 2022Simplified Graph Convolution with Heterophilycited by 17
- 2022Node-oriented Spectral Filtering for Graph Neural Networkscited by 17
- 2022Exploiting Neighbor Effect: Conv-Agnostic GNNs Framework for Graphs with Heterophilycited by 15
- 2023Curve Your Attention: Mixed-Curvature Transformers for Graph Representation Learningcited by 15
- 2024Understanding Heterophily for Graph Neural Networkscited by 15
- 2024Probabilistic Graph Rewiring via Virtual Nodescited by 15
- 2023ZeroI2V: Zero-Cost Adaptation of Pre-trained Transformers from Image to Videocited by 14
- 2022ES-GNN: Generalizing Graph Neural Networks Beyond Homophily with Edge Splittingcited by 13
- 2023MUSE: Multi-View Contrastive Learning for Heterophilic Graphscited by 13
- 2024A Survey on Learning from Graphs with Heterophily: Recent Advances and Future Directionscited by 13
- 2021WGCN: Graph Convolutional Networks with Weighted Structural Featurescited by 12
- 2022From Local to Global: Spectral-Inspired Graph Neural Networkscited by 11
- 2023SIGMA: An Efficient Heterophilous Graph Neural Network with Fast Global Aggregationcited by 10
- 2023Graph Propagation Transformer for Graph Representation Learningcited by 9
- 2023GraphRARE: Reinforcement Learning Enhanced Graph Neural Network with Relative Entropycited by 9
- 2024LOGIN: A Large Language Model Consulted Graph Neural Network Training Frameworkcited by 8
- 2023Neighborhood Homophily-based Graph Convolutional Networkcited by 7
- 2023Heterophily-Aware Graph Attention Networkcited by 7
- 2023Finding Heterophilic Neighbors via Confidence-based Subgraph Matching for Semi-supervised Node Classificationcited by 7
- 2023Spatial Heterophily Aware Graph Neural Networkscited by 7
- 2024Meta-GPS++: Enhancing Graph Meta-Learning with Contrastive Learning and Self-Trainingcited by 7
- 2021FDGATII : Fast Dynamic Graph Attention with Initial Residual and Identity Mappingcited by 6
- 2021Deformable Graph Convolutional Networkscited by 6
- 2024Representation Learning on Heterophilic Graph with Directional Neighborhood Attentioncited by 6
- 2024AGS-GNN: Attribute-guided Sampling for Graph Neural Networkscited by 6
50 most cited of 91 All 91 (JSON)
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Inductive Subgraphs as Shortcuts: Causal Disentanglement for Heterophilic Graph Learning21 Apr 2026
- 2026P2GNN: Two Prototype Sets to boost GNN Performance10 Mar 2026
- 2026Bayesian Neighborhood Adaptation for Graph Neural Networks5 Feb 2026
- 2025An Active Diffusion Neural Network for Graphs22 Oct 2025
- 2025Addressing Graph Anomaly Detection via Causal Edge Separation and Spectrum20 Aug 2025
- 2025KEPLA: A Knowledge-Enhanced Deep Learning Framework for Accurate Protein-Ligand Binding Affinity Prediction16 Jun 2025
- 2025Personalized Subgraph Federated Learning with Differentiable Auxiliary Projections29 May 2025
- 2025Heterophily-informed Message Passing28 Apr 2025
- 2025H3GNNs: Harmonizing Heterophily and Homophily in GNNs via Joint Structural Node Encoding and Self-Supervised Learning16 Apr 2025
- 2025GRAIN: Multi-Granular and Implicit Information Aggregation Graph Neural Network for Heterophilous Graphs9 Apr 2025
- 2025Using Subgraph GNNs for Node Classification:an Overlooked Potential Approach9 Mar 2025
38 more
- 2024Partitioning Message Passing for Graph Fraud Detection16 Nov 2024
- 2024Labor Migration Modeling through Large-scale Job Query Data3 Oct 2024
- 2024SCNode: Spatial and Contextual Coordinates for Graph Representation Learning3 Oct 2024
- 2024Flexible Diffusion Scopes with Parameterized Laplacian for Heterophilic Graph Learning15 Sep 2024
- 2024Representation Learning of Complex Assemblies, An Effort to Improve Corporate Scope 3 Emissions Calculation21 Aug 2024
- 2024Meta-GPS++: Enhancing Graph Meta-Learning with Contrastive Learning and Self-Training20 Jul 2024
- 2024SPIN: SE(3)-Invariant Physics Informed Network for Binding Affinity Prediction10 Jul 2024
- 2024Foundations and Frontiers of Graph Learning Theory3 Jul 2024
- 2024A Unified Framework for Combinatorial Optimization Based on Graph Neural Networks19 Jun 2024
- 2024The Heterophilic Snowflake Hypothesis: Training and Empowering GNNs for Heterophilic Graphs18 Jun 2024
- 2024Probabilistic Graph Rewiring via Virtual Nodes27 May 2024
- 2024AGS-GNN: Attribute-guided Sampling for Graph Neural Networks24 May 2024
- 2024LOGIN: A Large Language Model Consulted Graph Neural Network Training Framework22 May 2024
- 2024Generation is better than Modification: Combating High Class Homophily Variance in Graph Anomaly Detection15 Mar 2024
- 2024Self-Attention Empowered Graph Convolutional Network for Structure Learning and Node Embedding6 Mar 2024
- 2024Representation Learning on Heterophilic Graph with Directional Neighborhood Attention3 Mar 2024
- 2024Disambiguated Node Classification with Graph Neural Networks13 Feb 2024
- 2024NetInfoF Framework: Measuring and Exploiting Network Usable Information12 Feb 2024
- 2024A Survey on Learning from Graphs with Heterophily: Recent Advances and Future Directions18 Jan 2024
- 2024Understanding Heterophily for Graph Neural Networks17 Jan 2024
- 2024Rethinking Spectral Graph Neural Networks with Spatially Adaptive Filtering17 Jan 2024
- 2023Refining Latent Homophilic Structures over Heterophilic Graphs for Robust Graph Convolution Networks27 Dec 2023
- 2023GraphRARE: Reinforcement Learning Enhanced Graph Neural Network with Relative Entropy15 Dec 2023
- 2023CAT: A Causally Graph Attention Network for Trimming Heterophilic Graph14 Dec 2023
- 2023Probabilistically Rewired Message-Passing Neural Networks3 Oct 2023
- 2023ZeroI2V: Zero-Cost Adaptation of Pre-trained Transformers from Image to Video2 Oct 2023
- 2023NP2L: Negative Pseudo Partial Labels Extraction for Graph Neural Networks2 Oct 2023
- 2023Curve Your Attention: Mixed-Curvature Transformers for Graph Representation Learning8 Sep 2023
- 2023Mitigating Semantic Confusion from Hostile Neighborhood for Graph Active Learning17 Aug 2023
- 2023MUSE: Multi-View Contrastive Learning for Heterophilic Graphs29 Jul 2023
- 2023Shared Growth of Graph Neural Networks via Prompted Free-direction Knowledge Distillation2 Jul 2023
- 2023Diffusion-Jump GNNs: Homophiliation via Learnable Metric Filters29 Jun 2023
- 2023On Addressing the Limitations of Graph Neural Networks22 Jun 2023
- 2023Spatial Heterophily Aware Graph Neural Networks21 Jun 2023
- 2023Multi-Temporal Relationship Inference in Urban Areas15 Jun 2023
- 2023Causal-Based Supervision of Attention in Graph Neural Network: A Better and Simpler Choice towards Powerful Attention22 May 2023
- 2023Graph Propagation Transformer for Graph Representation Learning19 May 2023
- 2023SIGMA: An Efficient Heterophilous Graph Neural Network with Fast Global Aggregation17 May 2023
50 newest of 91 All 91 (JSON)
- 2021Beyond Low-frequency Information in Graph Convolutional Networkscited by 361
- 2021Large Scale Learning on Non-Homophilous Graphs: New Benchmarks and Strong Simple Methodscited by 309
- 2021Self-Supervised Learning of Graph Neural Networks: A Unified Reviewcited by 184
- 2021Two Sides of the Same Coin: Heterophily and Oversmoothing in Graph Convolutional Neural Networkscited by 182
- 2022Finding Global Homophily in Graph Neural Networks When Meeting Heterophilycited by 179
- 2022Graph Neural Networks for Graphs with Heterophily: A Surveycited by 175
- 2022Revisiting Heterophily For Graph Neural Networkscited by 169
- 2021Breaking the Limit of Graph Neural Networks by Improving the Assortativity of Graphs with Local Mixing Patternscited by 95
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2021GraphEBM: Molecular Graph Generation with Energy-Based Modelscited by 85
- 2021Is Heterophily A Real Nightmare For Graph Neural Networks To Do Node Classification?cited by 82
- 2021New Benchmarks for Learning on Non-Homophilous Graphscited by 81
12 most cited of 90 All 90 (JSON)
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Inductive Subgraphs as Shortcuts: Causal Disentanglement for Heterophilic Graph Learning21 Apr 2026
- 2026P2GNN: Two Prototype Sets to boost GNN Performance10 Mar 2026
- 2026Bayesian Neighborhood Adaptation for Graph Neural Networks5 Feb 2026
- 2025An Active Diffusion Neural Network for Graphs22 Oct 2025
- 2025Addressing Graph Anomaly Detection via Causal Edge Separation and Spectrum20 Aug 2025
- 2025KEPLA: A Knowledge-Enhanced Deep Learning Framework for Accurate Protein-Ligand Binding Affinity Prediction16 Jun 2025
- 2025Personalized Subgraph Federated Learning with Differentiable Auxiliary Projections29 May 2025
- 2025Heterophily-informed Message Passing28 Apr 2025
- 2025H3GNNs: Harmonizing Heterophily and Homophily in GNNs via Joint Structural Node Encoding and Self-Supervised Learning16 Apr 2025
- 2025GRAIN: Multi-Granular and Implicit Information Aggregation Graph Neural Network for Heterophilous Graphs9 Apr 2025
- 2025Using Subgraph GNNs for Node Classification:an Overlooked Potential Approach9 Mar 2025
12 newest of 90 All 90 (JSON)