SPAGAN: Shortest Path Graph Attention Network
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Abstract (arXiv)
Graph convolutional networks (GCN) have recently demonstrated their potential in analyzing non-grid structure data that can be represented as graphs. The core idea is to encode the local topology of a graph, via convolutions, into the feature of a center node. In this paper, we propose a novel GCN model, which we term as Shortest Path Graph Attention Network (SPAGAN). Unlike conventional GCN models that carry out node-based attentions within each layer, the proposed SPAGAN conducts path-based attention that explicitly accounts for the influence of a sequence of nodes yielding the minimum cost, or shortest path, between the center node and its higher-order neighbors. SPAGAN therefore allows for a more informative and intact exploration of the graph structure and further {a} more effective aggregation of information from distant neighbors into the center node, as compared to node-based GCN methods. We test SPAGAN on the downstream classification task on several standard datasets, and achieve performances superior to the state of the art. Code is publicly available at https://github.com/ihollywhy/SPAGAN.
Key facts. Cited by 28 papers in the map (data through 7 Oct 2026). Builds on 19 of its 31 references that are in the map. First posted on arXiv 10 Jan 2021.
Builds on
19 of 31 references.
References · 19
- 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
- 2016Convolutional Neural Networks on Graphs with Fast Localized Spectral Filteringcited by 2,085
- 2014DeepWalk: Online Learning of Social Representationscited by 1,543
- 2018Deep Graph Infomaxcited by 1,101
- 2013Spectral Networks and Locally Connected Networks on Graphscited by 1,097
- 2015Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)cited by 1,061
- 2018Weisfeiler and Leman Go Neural: Higher-order Graph Neural Networkscited by 878
- 2016Geometric deep learning on graphs and manifolds using mixture model CNNscited by 468
- 2017Dynamic Edge-Conditioned Filters in Convolutional Neural Networks on Graphscited by 307
7 more
- 2019Semantic Graph Convolutional Networks for 3D Human Pose Regressioncited by 204
- 2018GaAN: Gated Attention Networks for Learning on Large and Spatiotemporal Graphscited by 164
- 2017SplineCNN: Fast Geometric Deep Learning with Continuous B-Spline Kernelscited by 160
- 2018Adaptive Graph Convolutional Neural Networkscited by 155
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- 2018Graph Convolutional Neural Networks via Motif-based Attentioncited by 2
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Citing papers per year: 2021: 6; 2022: 9; 2023: 5; 2024: 5; 2025: 1; 2026: 2.
28 papers.
Sort:
- 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2022Shortest Path Networks for Graph Property Predictioncited by 46
- 2021Learning Dynamics via Graph Neural Networks for Human Pose Estimation and Trackingcited by 37
- 2022Rewiring with Positional Encodings for Graph Neural Networkscited by 35
- 2022Learning Graph Neural Networks for Image Style Transfercited by 29
- 2021Topological Relational Learning on Graphscited by 27
- 2021Meta-Aggregator: Learning to Aggregate for 1-bit Graph Neural Networkscited by 24
- 2022Path-Aware Graph Attention for HD Maps in Motion Predictioncited by 23
- 2023Deep Graph Reprogrammingcited by 22
- 2023Segment Anything in Non-Euclidean Domains: Challenges and Opportunitiescited by 16
- 2024TopoGCL: Topological Graph Contrastive Learningcited by 13
16 more
- 2023PathMLP: Smooth Path Towards High-order Homophilycited by 8
- 2022Hamilton-Jacobi equations on graphs with applications to semi-supervised learning and data depthcited by 7
- 2023On the Two Sides of Redundancy in Graph Neural Networkscited by 4
- 2024EMP: Effective Multidimensional Persistence for Graph Representation Learningcited by 4
- 2024DiRW: Path-Aware Digraph Learning for Heterophilycited by 3
- 2021Relational Graph Neural Network Design via Progressive Neural Architecture Searchcited by 1
- 2022Open World Learning Graph Convolution for Latency Estimation in Routing Networkscited by 1
- 2022Semantic Graph Neural Network with Multi-measure Learning for Semi-supervised Classificationcited by 1
- 2023Schema Inference for Interpretable Image Classificationcited by 1
- 2026Attention-based graph neural networks: a surveycited by 1
- 2022PathSAGE: Spatial Graph Attention Neural Networks With Random Path Samplingcited by 0
- 2022tBDFS: Temporal Graph Neural Network Leveraging DFScited by 0
- 2024Focus Where It Matters: Graph Selective State Focused Attention Networkscited by 0
- 2024HoGA: Higher-Order Graph Attention via Diversity-Aware k-Hop Samplingcited by 0
- 2025Large Language Model Evaluated Stand-alone Attention-Assisted Graph Neural Network with Spatial and Structural Information Interaction for Precise Endoscopic Image Segmentationcited by 0
- 2026Pro-ZD: A Transferable Graph Neural Network Approach for Proactive Zero-Day Threats Mitigationcited by 0
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Pro-ZD: A Transferable Graph Neural Network Approach for Proactive Zero-Day Threats Mitigation6 Feb 2026
- 2025Large Language Model Evaluated Stand-alone Attention-Assisted Graph Neural Network with Spatial and Structural Information Interaction for Precise Endoscopic Image Segmentation9 Aug 2025
- 2024HoGA: Higher-Order Graph Attention via Diversity-Aware k-Hop Sampling18 Nov 2024
- 2024Focus Where It Matters: Graph Selective State Focused Attention Networks21 Oct 2024
- 2024DiRW: Path-Aware Digraph Learning for Heterophily14 Oct 2024
- 2024TopoGCL: Topological Graph Contrastive Learning25 Jun 2024
- 2024EMP: Effective Multidimensional Persistence for Graph Representation Learning24 Jan 2024
- 2023On the Two Sides of Redundancy in Graph Neural Networks6 Oct 2023
- 2023PathMLP: Smooth Path Towards High-order Homophily23 Jun 2023
- 2023Deep Graph Reprogramming28 Apr 2023
- 2023Segment Anything in Non-Euclidean Domains: Challenges and Opportunities23 Apr 2023
16 more
- 2023Schema Inference for Interpretable Image Classification12 Mar 2023
- 2022Semantic Graph Neural Network with Multi-measure Learning for Semi-supervised Classification4 Dec 2022
- 2022Learning Graph Neural Networks for Image Style Transfer24 Jul 2022
- 2022Open World Learning Graph Convolution for Latency Estimation in Routing Networks8 Jul 2022
- 2022tBDFS: Temporal Graph Neural Network Leveraging DFS12 Jun 2022
- 2022Shortest Path Networks for Graph Property Prediction2 Jun 2022
- 2022PathSAGE: Spatial Graph Attention Neural Networks With Random Path Sampling11 Mar 2022
- 2022Path-Aware Graph Attention for HD Maps in Motion Prediction23 Feb 2022
- 2022Hamilton-Jacobi equations on graphs with applications to semi-supervised learning and data depth17 Feb 2022
- 2022Rewiring with Positional Encodings for Graph Neural Networks29 Jan 2022
- 2021Topological Relational Learning on Graphs29 Oct 2021
- 2021Parameter Prediction for Unseen Deep Architectures25 Oct 2021
- 2021Meta-Aggregator: Learning to Aggregate for 1-bit Graph Neural Networks27 Sep 2021
- 2021Do Transformers Really Perform Bad for Graph Representation?9 Jun 2021
- 2021Learning Dynamics via Graph Neural Networks for Human Pose Estimation and Tracking7 Jun 2021
- 2021Relational Graph Neural Network Design via Progressive Neural Architecture Search30 May 2021
- 2021Do Transformers Really Perform Bad for Graph Representation?cited by 318
- 2021Parameter Prediction for Unseen Deep Architecturescited by 89
- 2022Shortest Path Networks for Graph Property Predictioncited by 46
- 2021Learning Dynamics via Graph Neural Networks for Human Pose Estimation and Trackingcited by 37
- 2022Rewiring with Positional Encodings for Graph Neural Networkscited by 35
- 2022Learning Graph Neural Networks for Image Style Transfercited by 29
- 2021Topological Relational Learning on Graphscited by 27
- 2021Meta-Aggregator: Learning to Aggregate for 1-bit Graph Neural Networkscited by 24
- 2022Path-Aware Graph Attention for HD Maps in Motion Predictioncited by 23
- 2023Deep Graph Reprogrammingcited by 22
- 2023Segment Anything in Non-Euclidean Domains: Challenges and Opportunitiescited by 16
- 2024TopoGCL: Topological Graph Contrastive Learningcited by 13
12 most cited of 28 All 28 (JSON)
- 2026Attention-based graph neural networks: a survey9 May 2026
- 2026Pro-ZD: A Transferable Graph Neural Network Approach for Proactive Zero-Day Threats Mitigation6 Feb 2026
- 2025Large Language Model Evaluated Stand-alone Attention-Assisted Graph Neural Network with Spatial and Structural Information Interaction for Precise Endoscopic Image Segmentation9 Aug 2025
- 2024HoGA: Higher-Order Graph Attention via Diversity-Aware k-Hop Sampling18 Nov 2024
- 2024Focus Where It Matters: Graph Selective State Focused Attention Networks21 Oct 2024
- 2024DiRW: Path-Aware Digraph Learning for Heterophily14 Oct 2024
- 2024TopoGCL: Topological Graph Contrastive Learning25 Jun 2024
- 2024EMP: Effective Multidimensional Persistence for Graph Representation Learning24 Jan 2024
- 2023On the Two Sides of Redundancy in Graph Neural Networks6 Oct 2023
- 2023PathMLP: Smooth Path Towards High-order Homophily23 Jun 2023
- 2023Deep Graph Reprogramming28 Apr 2023
- 2023Segment Anything in Non-Euclidean Domains: Challenges and Opportunities23 Apr 2023
12 newest of 28 All 28 (JSON)