X-GOAL: Multiplex Heterogeneous Graph Prototypical Contrastive Learning
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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.
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Citing papers per year: 2022: 3; 2023: 6; 2024: 8; 2025: 1; 2026: 1.
19 papers.
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- 2024HiGPT: Heterogeneous Graph Language Modelcited by 44
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyondcited by 27
- 2022COIN: Co-Cluster Infomax for Bipartite Graphscited by 14
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkitcited by 14
- 2024Can Graph Neural Networks Learn Language with Extremely Weak Text Supervision?cited by 13
- 2023STERLING: Synergistic Representation Learning on Bipartite Graphscited by 12
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networkscited by 11
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputationcited by 11
- 2024Cluster Aware Graph Anomaly Detectioncited by 7
- 2023Fairness-aware Multi-view Clusteringcited by 6
- 2022ARIEL: Adversarial Graph Contrastive Learningcited by 5
- 2023GC-Flow: A Graph-Based Flow Network for Effective Clusteringcited by 5
7 more
- 2023Unsupervised Multiplex Graph Learning with Complementary and Consistent Informationcited by 5
- 2024Automated Contrastive Learning Strategy Search for Time Seriescited by 5
- 2025A Geometric Perspective for High-Dimensional Multiplex Graphscited by 2
- 2023Gaussian Graph with Prototypical Contrastive Learning in E-Commerce Bundle Recommendationcited by 0
- 2023Generating QM1B with PySCFIPUcited by 0
- 2024LAMP: Learnable Meta-Path Guided Adversarial Contrastive Learning for Heterogeneous Graphscited by 0
- 2026Modeling Heterophily in Multiplex Graphs: An Adaptive Approach for Node Classificationcited by 0
- 2026Modeling Heterophily in Multiplex Graphs: An Adaptive Approach for Node Classification12 May 2026
- 2025A Geometric Perspective for High-Dimensional Multiplex Graphs29 Jan 2025
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkit30 Dec 2024
- 2024Can Graph Neural Networks Learn Language with Extremely Weak Text Supervision?11 Dec 2024
- 2024Cluster Aware Graph Anomaly Detection15 Sep 2024
- 2024LAMP: Learnable Meta-Path Guided Adversarial Contrastive Learning for Heterogeneous Graphs10 Sep 2024
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyond30 Mar 2024
- 2024Automated Contrastive Learning Strategy Search for Time Series19 Mar 2024
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputation18 Mar 2024
- 2024HiGPT: Heterogeneous Graph Language Model25 Feb 2024
- 2023Generating QM1B with PySCFIPU2 Nov 2023
- 2023Unsupervised Multiplex Graph Learning with Complementary and Consistent Information3 Aug 2023
7 more
- 2023Gaussian Graph with Prototypical Contrastive Learning in E-Commerce Bundle Recommendation25 Jul 2023
- 2023GC-Flow: A Graph-Based Flow Network for Effective Clustering26 May 2023
- 2023Fairness-aware Multi-view Clustering11 Feb 2023
- 2023STERLING: Synergistic Representation Learning on Bipartite Graphs25 Jan 2023
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networks25 Oct 2022
- 2022ARIEL: Adversarial Graph Contrastive Learning15 Aug 2022
- 2022COIN: Co-Cluster Infomax for Bipartite Graphs31 May 2022
- 2024HiGPT: Heterogeneous Graph Language Modelcited by 44
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyondcited by 27
- 2022COIN: Co-Cluster Infomax for Bipartite Graphscited by 14
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkitcited by 14
- 2024Can Graph Neural Networks Learn Language with Extremely Weak Text Supervision?cited by 13
- 2023STERLING: Synergistic Representation Learning on Bipartite Graphscited by 12
- 2022Learning Individual Treatment Effects under Heterogeneous Interference in Networkscited by 11
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputationcited by 11
- 2024Cluster Aware Graph Anomaly Detectioncited by 7
- 2023Fairness-aware Multi-view Clusteringcited by 6
- 2022ARIEL: Adversarial Graph Contrastive Learningcited by 5
- 2023GC-Flow: A Graph-Based Flow Network for Effective Clusteringcited by 5
12 most cited of 19 All 19 (JSON)
- 2026Modeling Heterophily in Multiplex Graphs: An Adaptive Approach for Node Classification12 May 2026
- 2025A Geometric Perspective for High-Dimensional Multiplex Graphs29 Jan 2025
- 2024PyG-SSL: A Graph Self-Supervised Learning Toolkit30 Dec 2024
- 2024Can Graph Neural Networks Learn Language with Extremely Weak Text Supervision?11 Dec 2024
- 2024Cluster Aware Graph Anomaly Detection15 Sep 2024
- 2024LAMP: Learnable Meta-Path Guided Adversarial Contrastive Learning for Heterogeneous Graphs10 Sep 2024
- 2024Heterogeneous Contrastive Learning for Foundation Models and Beyond30 Mar 2024
- 2024Automated Contrastive Learning Strategy Search for Time Series19 Mar 2024
- 2024Causality-Aware Spatiotemporal Graph Neural Networks for Spatiotemporal Time Series Imputation18 Mar 2024
- 2024HiGPT: Heterogeneous Graph Language Model25 Feb 2024
- 2023Generating QM1B with PySCFIPU2 Nov 2023
- 2023Unsupervised Multiplex Graph Learning with Complementary and Consistent Information3 Aug 2023
12 newest of 19 All 19 (JSON)