GraLSP: Graph Neural Networks with Local Structural Patterns
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Abstract (arXiv)
It is not until recently that graph neural networks (GNNs) are adopted to perform graph representation learning, among which, those based on the aggregation of features within the neighborhood of a node achieved great success. However, despite such achievements, GNNs illustrate defects in identifying some common structural patterns which, unfortunately, play significant roles in various network phenomena. In this paper, we propose GraLSP, a GNN framework which explicitly incorporates local structural patterns into the neighborhood aggregation through random anonymous walks. Specifically, we capture local graph structures via random anonymous walks, powerful and flexible tools that represent structural patterns. The walks are then fed into the feature aggregation, where we design various mechanisms to address the impact of structural features, including adaptive receptive radius, attention and amplification. In addition, we design objectives that capture similarities between structures and are optimized jointly with node proximity objectives. With the adequate leverage of structural patterns, our model is able to outperform competitive counterparts in various prediction tasks in multiple datasets.
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). First posted on arXiv 18 Nov 2019.
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Citing papers per year: 2021: 7; 2022: 5; 2023: 4; 2024: 4; 2025: 4; 2026: 1.
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- 2021Reconstruction for Powerful Graph Representationscited by 65
- 2022Ordered Subgraph Aggregation Networkscited by 57
- 2022SpeqNets: Sparsity-aware Permutation-equivariant Graph Networkscited by 37
- 2021ACE-HGNN: Adaptive Curvature Exploration Hyperbolic Graph Neural Networkcited by 25
- 2021Theoretically Improving Graph Neural Networks via Anonymous Walk Graph Kernelscited by 19
- 2021Bridging the Gap between Spatial and Spectral Domains: A Unified Framework for Graph Neural Networkscited by 19
- 2025Beyond Message Passing: Neural Graph Pattern Machinecited by 17
- 2025Primal-Dual Neural Algorithmic Reasoningcited by 9
- 2021Topological Regularization for Graph Neural Networks Augmentationcited by 8
- 2022Weisfeiler and Leman go Hyperbolic: Learning Distance Preserving Node Representationscited by 7
- 2021A Survey on Role-Oriented Network Embeddingcited by 4
- 2023What Do GNNs Actually Learn? Towards Understanding their Representationscited by 4
13 more
- 2021Network representation learning: A macro and micro viewcited by 3
- 2022Scalable Motif Counting for Large-scale Temporal Graphscited by 3
- 2024Strong Transitivity Relations and Graph Neural Networkscited by 3
- 2024DELTA: Dual Consistency Delving with Topological Uncertainty for Active Graph Domain Adaptationcited by 2
- 2024Efficient Network Embedding by Approximate Equitable Partitionscited by 2
- 2025Efficient Identity and Position Graph Embedding via Spectral-Based Random Feature Aggregationcited by 2
- 2022Representation Learning on Heterostructures via Heterogeneous Anonymous Walkscited by 1
- 2023A Network Science perspective of Graph Convolutional Networks: A surveycited by 1
- 2024Structure-Guided Input Graph for GNNs facing Heterophilycited by 1
- 2023Supervised Attention Using Homophily in Graph Neural Networkscited by 0
- 2023Positional Encoding-based Resident Identification in Multi-resident Smart Homescited by 0
- 2025ffstruc2vec: Flat, Flexible and Scalable Learning of Node Representations from Structural Identitiescited by 0
- 2026Topology-induced Operators Reveal Complementary Graph Representations without Trainingcited by 0
- 2026Topology-induced Operators Reveal Complementary Graph Representations without Training8 Sep 2026
- 2025Primal-Dual Neural Algorithmic Reasoning29 May 2025
- 2025Efficient Identity and Position Graph Embedding via Spectral-Based Random Feature Aggregation27 May 2025
- 2025ffstruc2vec: Flat, Flexible and Scalable Learning of Node Representations from Structural Identities1 Apr 2025
- 2025Beyond Message Passing: Neural Graph Pattern Machine30 Jan 2025
- 2024Structure-Guided Input Graph for GNNs facing Heterophily2 Dec 2024
- 2024Efficient Network Embedding by Approximate Equitable Partitions16 Sep 2024
- 2024DELTA: Dual Consistency Delving with Topological Uncertainty for Active Graph Domain Adaptation13 Sep 2024
- 2024Strong Transitivity Relations and Graph Neural Networks1 Jan 2024
- 2023Positional Encoding-based Resident Identification in Multi-resident Smart Homes27 Oct 2023
- 2023Supervised Attention Using Homophily in Graph Neural Networks11 Jul 2023
- 2023What Do GNNs Actually Learn? Towards Understanding their Representations21 Apr 2023
13 more
- 2023A Network Science perspective of Graph Convolutional Networks: A survey12 Jan 2023
- 2022Weisfeiler and Leman go Hyperbolic: Learning Distance Preserving Node Representations4 Nov 2022
- 2022Ordered Subgraph Aggregation Networks22 Jun 2022
- 2022Scalable Motif Counting for Large-scale Temporal Graphs20 Apr 2022
- 2022SpeqNets: Sparsity-aware Permutation-equivariant Graph Networks25 Mar 2022
- 2022Representation Learning on Heterostructures via Heterogeneous Anonymous Walks18 Jan 2022
- 2021Network representation learning: A macro and micro view21 Nov 2021
- 2021ACE-HGNN: Adaptive Curvature Exploration Hyperbolic Graph Neural Network15 Oct 2021
- 2021Reconstruction for Powerful Graph Representations1 Oct 2021
- 2021Bridging the Gap between Spatial and Spectral Domains: A Unified Framework for Graph Neural Networks21 Jul 2021
- 2021A Survey on Role-Oriented Network Embedding18 Jul 2021
- 2021Theoretically Improving Graph Neural Networks via Anonymous Walk Graph Kernels7 Apr 2021
- 2021Topological Regularization for Graph Neural Networks Augmentation3 Apr 2021
- 2021Reconstruction for Powerful Graph Representationscited by 65
- 2022Ordered Subgraph Aggregation Networkscited by 57
- 2022SpeqNets: Sparsity-aware Permutation-equivariant Graph Networkscited by 37
- 2021ACE-HGNN: Adaptive Curvature Exploration Hyperbolic Graph Neural Networkcited by 25
- 2021Theoretically Improving Graph Neural Networks via Anonymous Walk Graph Kernelscited by 19
- 2021Bridging the Gap between Spatial and Spectral Domains: A Unified Framework for Graph Neural Networkscited by 19
- 2025Beyond Message Passing: Neural Graph Pattern Machinecited by 17
- 2025Primal-Dual Neural Algorithmic Reasoningcited by 9
- 2021Topological Regularization for Graph Neural Networks Augmentationcited by 8
- 2022Weisfeiler and Leman go Hyperbolic: Learning Distance Preserving Node Representationscited by 7
- 2021A Survey on Role-Oriented Network Embeddingcited by 4
- 2023What Do GNNs Actually Learn? Towards Understanding their Representationscited by 4
12 most cited of 25 All 25 (JSON)
- 2026Topology-induced Operators Reveal Complementary Graph Representations without Training8 Sep 2026
- 2025Primal-Dual Neural Algorithmic Reasoning29 May 2025
- 2025Efficient Identity and Position Graph Embedding via Spectral-Based Random Feature Aggregation27 May 2025
- 2025ffstruc2vec: Flat, Flexible and Scalable Learning of Node Representations from Structural Identities1 Apr 2025
- 2025Beyond Message Passing: Neural Graph Pattern Machine30 Jan 2025
- 2024Structure-Guided Input Graph for GNNs facing Heterophily2 Dec 2024
- 2024Efficient Network Embedding by Approximate Equitable Partitions16 Sep 2024
- 2024DELTA: Dual Consistency Delving with Topological Uncertainty for Active Graph Domain Adaptation13 Sep 2024
- 2024Strong Transitivity Relations and Graph Neural Networks1 Jan 2024
- 2023Positional Encoding-based Resident Identification in Multi-resident Smart Homes27 Oct 2023
- 2023Supervised Attention Using Homophily in Graph Neural Networks11 Jul 2023
- 2023What Do GNNs Actually Learn? Towards Understanding their Representations21 Apr 2023
12 newest of 25 All 25 (JSON)