mlsanityData to 7 Oct 2026

Feature Transportation Improves Graph Neural Networks

arXiv 2307.16092 ↗First posted 29 Jul 2023cs.LGcited by 15

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Abstract (arXiv)

Graph neural networks (GNNs) have shown remarkable success in learning representations for graph-structured data. However, GNNs still face challenges in modeling complex phenomena that involve feature transportation. In this paper, we propose a novel GNN architecture inspired by Advection-Diffusion-Reaction systems, called ADR-GNN. Advection models feature transportation, while diffusion captures the local smoothing of features, and reaction represents the non-linear transformation between feature channels. We provide an analysis of the qualitative behavior of ADR-GNN, that shows the benefit of combining advection, diffusion, and reaction. To demonstrate its efficacy, we evaluate ADR-GNN on real-world node classification and spatio-temporal datasets, and show that it improves or offers competitive performance compared to state-of-the-art networks.

Key facts. Cited by 15 papers in the map (data through 7 Oct 2026). Builds on 51 of its 101 references that are in the map. First posted on arXiv 29 Jul 2023.

Builds on

51 of 101 references.

References · 51

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  2. 2017Graph Attention Networkscited by 8,854
  3. 2018Neural Ordinary Differential Equationscited by 3,733
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38 more
  1. 2020Adaptive Graph Convolutional Recurrent Network for Traffic Forecastingcited by 525
  2. 2019EvolveGCN: Evolving Graph Convolutional Networks for Dynamic Graphscited by 443
  3. 2019GMAN: A Graph Multi-Attention Network for Traffic Predictioncited by 433
  4. 2019Diffusion Improves Graph Learningcited by 414
  5. 2018T-GCN: A Temporal Graph ConvolutionalNetwork for Traffic Predictioncited by 399
  6. 2021Beyond Low-frequency Information in Graph Convolutional Networkscited by 361
  7. 2017Stable Architectures for Deep Neural Networkscited by 340
  8. 2021Large Scale Learning on Non-Homophilous Graphs: New Benchmarks and Strong Simple Methodscited by 309
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  12. 2021GRAND: Graph Neural Diffusioncited by 258
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  14. 2018Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equationscited by 233
  15. 2022Neural Sheaf Diffusion: A Topological Perspective on Heterophily and Oversmoothing in GNNscited by 208
  16. 2020Combining Label Propagation and Simple Models Out-performs Graph Neural Networkscited by 199
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  23. 2020Implicit Graph Neural Networkscited by 98
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  25. 2023DIFFormer: Scalable (Graph) Transformers Induced by Energy Constrained Diffusioncited by 85
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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 1; 2024: 3; 2025: 7; 2026: 4.

15 papers.

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  1. 2025Graph ODEs and Beyond: A Comprehensive Survey on Integrating Differential Equations with Graph Neural Networkscited by 14
  2. 2024Temporal Graph ODEs for Irregularly-Sampled Time Seriescited by 11
  3. 2024Improving Graph Neural Networks by Learning Continuous Edge Directionscited by 3
  4. 2025Permutation Equivariant Neural Controlled Differential Equations for Dynamic Graph Representation Learningcited by 3
  5. 2025Stuart-Landau Oscillatory Graph Neural Networkcited by 3
  6. 2026Stochastic Parroting in Temporal Attention -- Regulating the Diagonal Sinkcited by 2
  7. 2023Resilient Graph Neural Networks: A Coupled Dynamical Systems Approachcited by 1
  8. 2024Dirac--Bianconi Graph Neural Networks -- Enabling Non-Diffusive Long-Range Graph Predictionscited by 1
  9. 2025Graph Neural Diffusion via Generalized Opinion Dynamicscited by 1
  10. 2025Learning Dynamic Graphs via Tensorized and Lightweight Graph Convolutional Networkscited by 0
  11. 2025TANGO: Graph Neural Dynamics via Learned Energy and Tangential Flowscited by 0
  12. 2025Non-Dissipative Graph Propagation for Non-Local Community Detectioncited by 0
3 more
  1. 2026AdvSynGNN: Structure-Adaptive Graph Neural Nets via Adversarial Synthesis and Self-Corrective Propagationcited by 0
  2. 2026Continuous-Time Quantum Walks based Graph Neural Networkcited by 0
  3. 2026TwinS-GCN: Spectral conjugate for Spectral Graph Convolutional Networkscited by 0