mlsanityData to 7 Oct 2026

X-GOAL: Multiplex Heterogeneous Graph Prototypical Contrastive Learning

arXiv 2109.03560 ↗First posted 8 Sep 2021cs.LGcited by 19

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Abstract (arXiv)

Graphs are powerful representations for relations among objects, which have attracted plenty of attention. A fundamental challenge for graph learning is how to train an effective Graph Neural Network (GNN) encoder without labels, which are expensive and time consuming to obtain. Contrastive Learning (CL) is one of the most popular paradigms to address this challenge, which trains GNNs by discriminating positive and negative node pairs. Despite the success of recent CL methods, there are still two under-explored problems. First, how to reduce the semantic error introduced by random topology based data augmentations. Traditional CL defines positive and negative node pairs via the node-level topological proximity, which is solely based on the graph topology regardless of the semantic information of node attributes, and thus some semantically similar nodes could be wrongly treated as negative pairs. Second, how to effectively model the multiplexity of the real-world graphs, where nodes are connected by various relations and each relation could form a homogeneous graph layer. To solve these problems, we propose a novel multiplex heterogeneous graph prototypical contrastive leaning (X-GOAL) framework to extract node embeddings. X-GOAL is comprised of two components: the GOAL framework, which learns node embeddings for each homogeneous graph layer, and an alignment regularization, which jointly models different layers by aligning layer-specific node embeddings. Specifically, the GOAL framework captures the node-level information by a succinct graph transformation technique, and captures the cluster-level information by pulling nodes within the same semantic cluster closer in the embedding space. The alignment regularization aligns embeddings across layers at both node and cluster levels. We evaluate X-GOAL on various real-world datasets and downstream tasks to demonstrate its effectiveness.

Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). Builds on 43 of its 77 references that are in the map. First posted on arXiv 8 Sep 2021.

Builds on

43 of 77 references.

References · 43

  1. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,160
  2. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
  3. 2017Graph Attention Networkscited by 8,854
  4. 2018Representation Learning with Contrastive Predictive Codingcited by 7,662
  5. 2019Momentum Contrast for Unsupervised Visual Representation Learningcited by 7,482
  6. 2013Distributed Representations of Words and Phrases and their Compositionalitycited by 3,462
  7. 2020Unsupervised Learning of Visual Features by Contrasting Cluster Assignmentscited by 2,845
  8. 2016node2vec: Scalable Feature Learning for Networkscited by 1,913
  9. 2014DeepWalk: Online Learning of Social Representationscited by 1,543
  10. 2020Graph Contrastive Learning with Augmentationscited by 1,203
  11. 2018Deep Graph Infomaxcited by 1,101
  12. 2019Strategies for Pre-training Graph Neural Networkscited by 964
31 more
  1. 2015Unsupervised Deep Embedding for Clustering Analysiscited by 763
  2. 2019Heterogeneous Graph Attention Networkcited by 732
  3. 2020Contrastive Multi-View Representation Learning on Graphscited by 651
  4. 2020Prototypical Contrastive Learning of Unsupervised Representationscited by 636
  5. 2015LINE: Large-scale Information Network Embeddingcited by 582
  6. 2019On Variational Bounds of Mutual Informationcited by 550
  7. 2020Graph Contrastive Learning with Adaptive Augmentationcited by 519
  8. 2020GCC: Graph Contrastive Coding for Graph Neural Network Pre-Trainingcited by 461
  9. 2017Representation Learning on Graphs: Methods and Applicationscited by 456
  10. 2019Diffusion Improves Graph Learningcited by 414
  11. 2021Graph Self-Supervised Learning: A Surveycited by 289
  12. 2020Graph Representation Learning via Graphical Mutual Information Maximizationcited by 217
  13. 2018Formal Limitations on the Measurement of Mutual Informationcited by 189
  14. 2019Attributed Graph Clustering: A Deep Attentional Embedding Approachcited by 149
  15. 2020Structural Deep Clustering Networkcited by 145
  16. 2021Self-supervised Heterogeneous Graph Neural Network with Co-contrastive Learningcited by 130
  17. 2019Multi-Stage Self-Supervised Learning for Graph Convolutional Networks on Graphs with Few Labelscited by 111
  18. 2019Attributed Graph Clustering via Adaptive Graph Convolutioncited by 96
  19. 2019Unsupervised Attributed Multiplex Network Embeddingcited by 95
  20. 2019Representation Learning for Attributed Multiplex Heterogeneous Networkcited by 91
  21. 2021HDMI: High-order Deep Multiplex Infomaxcited by 82
  22. 2020Abstract Diagrammatic Reasoning with Multiplex Graph Networkscited by 37
  23. 2021Network of Tensor Time Seriescited by 32
  24. 2017An Attention-based Collaboration Framework for Multi-View Network Representation Learningcited by 31
  25. 2019Rethinking Softmax with Cross-Entropy: Neural Network Classifier as Mutual Information Estimatorcited by 25
  26. 2019Multi-GCN: Graph Convolutional Networks for Multi-View Networks, with Applications to Global Povertycited by 19
  27. 2021Multiplex Graph Neural Network for Extractive Text Summarizationcited by 19
  28. 2018Multi-dimensional Graph Convolutional Networkscited by 15
  29. 2021Multiplex Bipartite Network Embedding using Dual Hypergraph Convolutional Networkscited by 13
  30. 2018mvn2vec: Preservation and Collaboration in Multi-View Network Embeddingcited by 11
  31. 2021Hypergraph Pre-training with Graph Neural Networkscited by 9

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