Topology Adaptive Graph Convolutional Networks
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Abstract (arXiv)
Spectral graph convolutional neural networks (CNNs) require approximation to the convolution to alleviate the computational complexity, resulting in performance loss. This paper proposes the topology adaptive graph convolutional network (TAGCN), a novel graph convolutional network defined in the vertex domain. We provide a systematic way to design a set of fixed-size learnable filters to perform convolutions on graphs. The topologies of these filters are adaptive to the topology of the graph when they scan the graph to perform convolution. The TAGCN not only inherits the properties of convolutions in CNN for grid-structured data, but it is also consistent with convolution as defined in graph signal processing. Since no approximation to the convolution is needed, TAGCN exhibits better performance than existing spectral CNNs on a number of data sets and is also computationally simpler than other recent methods.
Key facts. Cited by 112 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 Oct 2017.
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Citing papers per year: 2021: 17; 2022: 19; 2023: 23; 2024: 28; 2025: 14; 2026: 11.
112 papers.
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50 most cited of 112 All 112 (JSON)
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- 2025Toward Efficient Testing of Graph Neural Networks via Test Input Prioritization20 Dec 2025
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- 2025Benchmarking Pretrained Molecular Embedding Models For Molecular Representation Learning8 Aug 2025
- 2025Robust Anomaly Detection with Graph Neural Networks using Controllability18 Jul 2025
- 2025Graph Neural Networks for Electricity Load Forecasting4 Jul 2025
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- 2025Benchmarking Graph Neural Networks for Document Layout Analysis in Public Affairs12 May 2025
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- 2024Temporal Graph ODEs for Irregularly-Sampled Time Series30 Apr 2024
- 2024Unleashing the Potential of Fractional Calculus in Graph Neural Networks with FROND26 Apr 2024
- 2024Characterizing the Influence of Topology on Graph Learning Tasks11 Apr 2024
- 2024GTAGCN: Generalized Topology Adaptive Graph Convolutional Networks22 Mar 2024
- 2024Unleashing the Infinity Power of Geometry: A Novel Geometry-Aware Transformer (GOAT) for Whole Slide Histopathology Image Analysis8 Feb 2024
50 newest of 112 All 112 (JSON)
- 2021TDGIA:Effective Injection Attacks on Graph Neural Networkscited by 67
- 2021Graph Robustness Benchmark: Benchmarking the Adversarial Robustness of Graph Machine Learningcited by 44
- 2021Chemical-Reaction-Aware Molecule Representation Learningcited by 36
- 2022On the Robustness of Graph Neural Diffusion to Topology Perturbationscited by 30
- 2021Distilling Holistic Knowledge with Graph Neural Networkscited by 26
- 2023Teacher-Student Architecture for Knowledge Distillation: A Surveycited by 26
- 2021Curvature Graph Neural Networkcited by 24
- 2022Bending Graphs: Hierarchical Shape Matching using Gated Optimal Transportcited by 24
- 2023Adversarial Robustness in Graph Neural Networks: A Hamiltonian Approachcited by 24
- 2023ReLM: Leveraging Language Models for Enhanced Chemical Reaction Predictioncited by 24
- 2021Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learningcited by 21
- 2021Hyper Meta-Path Contrastive Learning for Multi-Behavior Recommendationcited by 21
12 most cited of 110 All 110 (JSON)
- 2026scKDGM: KAN-guided Dynamic Graph Masked Learning for Single-Cell RNA-seq Clustering26 Jun 2026
- 2026Collapsed Effective Operators for Higher-order Structures22 Jun 2026
- 2026Enhanced Graph Neural Networks using K-Hop Gaussian Diffusion16 Jun 2026
- 2026A Comparative Study of Graph Neural Network Layer Selection for Interaction Modelling in Driving Trajectory Prediction12 Jun 2026
- 2026A Triple-Modal Contrastive Learning Framework with Sequence, Graph, and 3D Features for Drug-Target Interaction Prediction28 May 2026
- 2026Topology-Aware Graph Reinforcement Learning for Energy Storage Systems Optimal Dispatch in Distribution Networks27 Mar 2026
- 2026Can LLMs Fool Graph Learning? Exploring Universal Adversarial Attacks on Text-Attributed Graphs22 Mar 2026
- 2026Size Transferability of Graph Transformers with Convolutional Positional Encodings16 Feb 2026
- 2026Graph homophily booster: Reimagining the role of discrete features in heterophilic graph learning6 Feb 2026
- 2026Topology-aware Pathological Consistency Matching for Weakly-Paired IHC Virtual Staining6 Jan 2026
- 2025Toward Efficient Testing of Graph Neural Networks via Test Input Prioritization20 Dec 2025
- 2025Hierarchical geometric deep learning enables scalable analysis of molecular dynamics6 Dec 2025
12 newest of 110 All 110 (JSON)