mlsanityData to 14 Oct 2026

BN-Pool: Bayesian Nonparametric Pooling for Graphs

arXiv 2501.09821 ↗First posted 16 Jan 2025cs.LG math.PRcited by 2

Not on the map. Why?

Abstract (arXiv)

We introduce BN-Pool, the first clustering-based pooling method for Graph Neural Networks that adaptively determines the number of supernodes in a coarsened graph. BN-Pool leverages a generative model based on a Bayesian nonparametric framework for partitioning graph nodes into an unbounded number of clusters. During training, the node-to-cluster assignments are learned by combining the supervised loss of the downstream task with an unsupervised auxiliary term, which encourages the reconstruction of the original graph topology while penalizing unnecessary proliferation of clusters. By automatically discovering the optimal coarsening level for each graph, BN-Pool preserves the performance of soft-clustering pooling methods while avoiding their typical redundancy by learning compact pooled graphs. The code is available at https://github.com/NGMLGroup/Bayesian-Nonparametric-Graph-Pooling.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 47 of its 70 references that are in the map. First posted on arXiv 16 Jan 2025.

Builds on

47 of 70 references.

References · 47

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,361
  2. 2018How Powerful are Graph Neural Networks?cited by 4,393
  3. 2015Delving Deep into Rectifiers: Surpassing Human-Level Performance on ImageNet Classificationcited by 3,611
  4. 2017Neural Message Passing for Quantum Chemistrycited by 3,487
  5. 2016Convolutional Neural Networks on Graphs with Fast Localized Spectral Filteringcited by 2,089
  6. 2018Graph Neural Networks: A Review of Methods and Applicationscited by 1,576
  7. 2015Fast and Accurate Deep Network Learning by Exponential Linear Units (ELUs)cited by 1,070
  8. 2017MoleculeNet: A Benchmark for Molecular Machine Learningcited by 1,051
  9. 2019Strategies for Pre-training Graph Neural Networkscited by 971
  10. 2018Hierarchical Graph Representation Learning with Differentiable Poolingcited by 787
  11. 2020TUDataset: A collection of benchmark datasets for learning with graphscited by 728
  12. 2015Generating Sentences from a Continuous Spacecited by 612
35 more
  1. 2019Graph U-Netscited by 492
  2. 2019Self-Attention Graph Poolingcited by 421
  3. 2016Ladder Variational Autoencoderscited by 318
  4. 2022Long Range Graph Benchmarkcited by 263
  5. 2019Understanding Attention and Generalization in Graph Neural Networkscited by 169
  6. 2020Graph Clustering with Graph Neural Networkscited by 163
  7. 2019ASAP: Adaptive Structure Aware Pooling for Learning Hierarchical Graph Representationscited by 156
  8. 2021Graph Condensation for Graph Neural Networkscited by 150
  9. 2021Accurate Learning of Graph Representations with Graph Multiset Poolingcited by 120
  10. 2019Graph Convolutional Networks with EigenPoolingcited by 94
  11. 2018Implicit Reparameterization Gradientscited by 85
  12. 2021Understanding Pooling in Graph Neural Networkscited by 69
  13. 2022Structural Entropy Guided Graph Hierarchical Poolingcited by 62
  14. 2020Memory-Based Graph Networkscited by 56
  15. 2019Edge Contraction Pooling for Graph Neural Networkscited by 53
  16. 2016Stick-Breaking Variational Autoencoderscited by 44
  17. 2020Topology-Aware Graph Pooling Networkscited by 44
  18. 2019Dirichlet Variational Autoencodercited by 43
  19. 2020Dirichlet Graph Variational Autoencodercited by 40
  20. 2019Stochastic Blockmodels meet Graph Neural Networkscited by 39
  21. 2018Pathwise Derivatives Beyond the Reparameterization Trickcited by 36
  22. 2020Path Integral Based Convolution and Pooling for Graph Neural Networkscited by 35
  23. 2023The expressive power of pooling in Graph Neural Networkscited by 35
  24. 2019Hierarchical Representation Learning in Graph Neural Networks with Node Decimation Poolingcited by 30
  25. 2020Balancing reconstruction error and Kullback-Leibler divergence in Variational Autoencoderscited by 30
  26. 2022Higher-order Clustering and Pooling for Graph Neural Networkscited by 26
  27. 2019iPool -- Information-based Pooling in Hierarchical Graph Neural Networkscited by 21
  28. 2023Graph-based Time Series Clustering for End-to-End Hierarchical Forecastingcited by 17
  29. 2024Graph-based Forecasting with Missing Data through Spatiotemporal Downsamplingcited by 17
  30. 2021Hierarchical Adaptive Pooling by Capturing High-order Dependency for Graph Representation Learningcited by 15
  31. 2021Graph Pooling via Coarsened Graph Infomaxcited by 15
  32. 2021Pyramidal Reservoir Graph Neural Networkcited by 10
  33. 2022Simplifying Clustering with Graph Neural Networkscited by 8
  34. 2024A Comprehensive Graph Pooling Benchmark: Effectiveness, Robustness and Generalizabilitycited by 7
  35. 2024MaxCutPool: differentiable feature-aware Maxcut for pooling in graph neural networkscited by 5

Built on by

Cited by year

Citing papers per year: 2025: 2.

2 papers.