mlsanityData to 7 Oct 2026

Learning with Multigraph Convolutional Filters

arXiv 2210.16272 ↗First posted 28 Oct 2022eess.SP cs.LGcited by 5

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Abstract (arXiv)

In this paper, we introduce a convolutional architecture to perform learning when information is supported on multigraphs. Exploiting algebraic signal processing (ASP), we propose a convolutional signal processing model on multigraphs (MSP). Then, we introduce multigraph convolutional neural networks (MGNNs) as stacked and layered structures where information is processed according to an MSP model. We also develop a procedure for tractable computation of filter coefficients in the MGNN and a low cost method to reduce the dimensionality of the information transferred between layers. We conclude by comparing the performance of MGNNs against other learning architectures on an optimal resource allocation task for multi-channel communication systems.

Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 15 of its 27 references that are in the map. First posted on arXiv 28 Oct 2022.

Builds on

15 of 27 references.

References · 15

  1. 2020MAGNN: Metapath Aggregated Graph Neural Network for Heterogeneous Graph Embeddingcited by 304
  2. 2018Convolutional Neural Network Architectures for Signals Supported on Graphscited by 94
  3. 2019Representation Learning for Attributed Multiplex Heterogeneous Networkcited by 91
  4. 2019Optimal Wireless Resource Allocation with Random Edge Graph Neural Networkscited by 90
  5. 2017An Attention-based Collaboration Framework for Multi-View Network Representation Learningcited by 31
  6. 2022Multiplex Heterogeneous Graph Convolutional Networkcited by 27
  7. 2020Algebraic Neural Networks: Stability to Deformationscited by 22
  8. 2020Joint predictions of multi-modal ride-hailing demands: a deep multi-task multigraph learning-based approachcited by 15
  9. 2020Graphon Pooling in Graph Neural Networkscited by 11
  10. 2022Convolutional Learning on Multigraphscited by 10
  11. 2020Discrete Signal Processing with Set Functionscited by 8
  12. 2020Discrete Signal Processing on Meet/Join Latticescited by 8
3 more
  1. 2013Multiplex PageRankcited by 4
  2. 2020Quiver Signal Processing (QSP)cited by 4
  3. 2021Parallel Multi-Graph Convolution Network For Metro Passenger Volume Predictioncited by 2

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2023: 1; 2024: 2; 2025: 0; 2026: 2.

5 papers.

  1. 2024Graph neural networks and non-commuting operatorscited by 5
  2. 2024Convolutional Filtering with RKHS Algebrascited by 3
  3. 2026RKHS Representation of Algebraic Convolutional Filters with Integral Operatorscited by 1
  4. 2023Non Commutative Convolutional Signal Models in Neural Networks: Stability to Small Deformationscited by 0
  5. 2026Fundamental Limits of Transferability and Equivariance in Algebraic Signal Models I: Finite Dimensionscited by 0