Provably Powerful Graph Neural Networks for Directed Multigraphs
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Abstract (arXiv)
This paper analyses a set of simple adaptations that transform standard message-passing Graph Neural Networks (GNN) into provably powerful directed multigraph neural networks. The adaptations include multigraph port numbering, ego IDs, and reverse message passing. We prove that the combination of these theoretically enables the detection of any directed subgraph pattern. To validate the effectiveness of our proposed adaptations in practice, we conduct experiments on synthetic subgraph detection tasks, which demonstrate outstanding performance with almost perfect results. Moreover, we apply our proposed adaptations to two financial crime analysis tasks. We observe dramatic improvements in detecting money laundering transactions, improving the minority-class F1 score of a standard message-passing GNN by up to 30%, and closely matching or outperforming tree-based and GNN baselines. Similarly impressive results are observed on a real-world phishing detection dataset, boosting three standard GNNs' F1 scores by around 15% and outperforming all baselines.
Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). Builds on 53 of its 79 references that are in the map. First posted on arXiv 20 Jun 2023.
Builds on
53 of 79 references.
References · 53
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50 most cited of 53 All 53 (JSON)
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Citing papers per year: 2023: 1; 2024: 5; 2025: 9; 2026: 12.
27 papers.
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- 2023Realistic Synthetic Financial Transactions for Anti-Money Laundering Modelscited by 50
- 2024Network Analytics for Anti-Money Laundering -- A Systematic Literature Review and Experimental Evaluationcited by 7
- 2026Learning Graph Foundation Models on Riemannian Graph-of-Graphscited by 3
- 2024Towards Data-centric Machine Learning on Directed Graphs: a Surveycited by 2
- 2025TeMP-TraG: Edge-based Temporal Message Passing in Transaction Graphscited by 2
- 2024Privacy-Preserving Graph-Based Machine Learning with Fully Homomorphic Encryption for Collaborative Anti-Money Launderingcited by 1
- 2024MEGA: Message Passing Neural Networks for Multigraphs with EdGe Attributescited by 1
- 2025Graph machine learning for flight delay prediction due to holding manouvercited by 1
- 2025Towards Collaborative Anti-Money Laundering Among Financial Institutionscited by 1
- 2025Deep Learning Approaches for Anti-Money Laundering on Mobile Transactions: Review, Framework, and Directionscited by 1
- 2025Advances in Continual Graph Learning for Anti-Money Laundering Systems: A Comprehensive Reviewcited by 1
- 2025ATM-GAD: Adaptive Temporal Motif Graph Anomaly Detection for Financial Transaction Networkscited by 1
15 more
- 2024Multi-Class and Multi-Task Strategies for Neural Directed Link Predictioncited by 0
- 2025GARG-AML against Smurfing: A Scalable and Interpretable Graph-Based Framework for Anti-Money Launderingcited by 0
- 2025HSG-12M: A Large-Scale Benchmark of Spatial Multigraphs from the Energy Spectra of Non-Hermitian Crystalscited by 0
- 2025FD4QC: Application of Classical and Quantum-Hybrid Machine Learning for Financial Fraud Detection A Technical Reportcited by 0
- 2026A Tight Expressivity Hierarchy for GNN-Based Entity Resolution in Master Data Managementcited by 0
- 2026Extracting Money Laundering Transactions from Quasi-Temporal Graph Representationcited by 0
- 2026TransXion: A High-Fidelity Graph Benchmark for Realistic Anti-Money Launderingcited by 0
- 2026Federated Layer-Wise Exchange for Cross-Client Money Laundering Pattern Detectioncited by 0
- 2026Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networkscited by 0
- 2026Choosing a parallel heterogeneous ensemble method for tabular classificationcited by 0
- 2026SALT-GNN: Handling Dense Neighborhoods in Anti-Money Laundering Graphs via Statistics-Aware Attentioncited by 0
- 2026Population-Calibrated Graph Screening at 835-Million-Address Scale, with Label-Free Transfer to New Chainscited by 0
- 2026Dual-Scale Relational Graph Transformers for Ecosystem-Aware Fraud Detectioncited by 0
- 2026Privacy-Preserving GNN Inference on Financial Transaction Graphs via Homomorphic Encryptioncited by 0
- 2026Random Probing for Structural Self-Interactions in Graph Neural Networkscited by 0
- 2026Random Probing for Structural Self-Interactions in Graph Neural Networks13 Oct 2026
- 2026Privacy-Preserving GNN Inference on Financial Transaction Graphs via Homomorphic Encryption13 Oct 2026
- 2026Dual-Scale Relational Graph Transformers for Ecosystem-Aware Fraud Detection2 Oct 2026
- 2026Population-Calibrated Graph Screening at 835-Million-Address Scale, with Label-Free Transfer to New Chains2 Sep 2026
- 2026SALT-GNN: Handling Dense Neighborhoods in Anti-Money Laundering Graphs via Statistics-Aware Attention11 Jul 2026
- 2026Choosing a parallel heterogeneous ensemble method for tabular classification6 Jul 2026
- 2026Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networks25 May 2026
- 2026Learning Graph Foundation Models on Riemannian Graph-of-Graphs11 May 2026
- 2026Federated Layer-Wise Exchange for Cross-Client Money Laundering Pattern Detection7 May 2026
- 2026TransXion: A High-Fidelity Graph Benchmark for Realistic Anti-Money Laundering19 Apr 2026
- 2026Extracting Money Laundering Transactions from Quasi-Temporal Graph Representation3 Apr 2026
- 2026A Tight Expressivity Hierarchy for GNN-Based Entity Resolution in Master Data Management28 Mar 2026
15 more
- 2025ATM-GAD: Adaptive Temporal Motif Graph Anomaly Detection for Financial Transaction Networks28 Aug 2025
- 2025FD4QC: Application of Classical and Quantum-Hybrid Machine Learning for Financial Fraud Detection A Technical Report25 Jul 2025
- 2025HSG-12M: A Large-Scale Benchmark of Spatial Multigraphs from the Energy Spectra of Non-Hermitian Crystals10 Jun 2025
- 2025GARG-AML against Smurfing: A Scalable and Interpretable Graph-Based Framework for Anti-Money Laundering4 Jun 2025
- 2025Advances in Continual Graph Learning for Anti-Money Laundering Systems: A Comprehensive Review31 Mar 2025
- 2025TeMP-TraG: Edge-based Temporal Message Passing in Transaction Graphs21 Mar 2025
- 2025Deep Learning Approaches for Anti-Money Laundering on Mobile Transactions: Review, Framework, and Directions13 Mar 2025
- 2025Towards Collaborative Anti-Money Laundering Among Financial Institutions27 Feb 2025
- 2025Graph machine learning for flight delay prediction due to holding manouver6 Feb 2025
- 2024Multi-Class and Multi-Task Strategies for Neural Directed Link Prediction14 Dec 2024
- 2024MEGA: Message Passing Neural Networks for Multigraphs with EdGe Attributes29 Nov 2024
- 2024Towards Data-centric Machine Learning on Directed Graphs: a Survey28 Nov 2024
- 2024Privacy-Preserving Graph-Based Machine Learning with Fully Homomorphic Encryption for Collaborative Anti-Money Laundering5 Nov 2024
- 2024Network Analytics for Anti-Money Laundering -- A Systematic Literature Review and Experimental Evaluation29 May 2024
- 2023Realistic Synthetic Financial Transactions for Anti-Money Laundering Models22 Jun 2023
- 2023Realistic Synthetic Financial Transactions for Anti-Money Laundering Modelscited by 50
- 2024Network Analytics for Anti-Money Laundering -- A Systematic Literature Review and Experimental Evaluationcited by 7
- 2026Learning Graph Foundation Models on Riemannian Graph-of-Graphscited by 3
- 2024Towards Data-centric Machine Learning on Directed Graphs: a Surveycited by 2
- 2025TeMP-TraG: Edge-based Temporal Message Passing in Transaction Graphscited by 2
- 2024Privacy-Preserving Graph-Based Machine Learning with Fully Homomorphic Encryption for Collaborative Anti-Money Launderingcited by 1
- 2024MEGA: Message Passing Neural Networks for Multigraphs with EdGe Attributescited by 1
- 2025Graph machine learning for flight delay prediction due to holding manouvercited by 1
- 2025Towards Collaborative Anti-Money Laundering Among Financial Institutionscited by 1
- 2025Deep Learning Approaches for Anti-Money Laundering on Mobile Transactions: Review, Framework, and Directionscited by 1
- 2025Advances in Continual Graph Learning for Anti-Money Laundering Systems: A Comprehensive Reviewcited by 1
- 2025ATM-GAD: Adaptive Temporal Motif Graph Anomaly Detection for Financial Transaction Networkscited by 1
12 most cited of 27 All 27 (JSON)
- 2026Random Probing for Structural Self-Interactions in Graph Neural Networks13 Oct 2026
- 2026Privacy-Preserving GNN Inference on Financial Transaction Graphs via Homomorphic Encryption13 Oct 2026
- 2026Dual-Scale Relational Graph Transformers for Ecosystem-Aware Fraud Detection2 Oct 2026
- 2026Population-Calibrated Graph Screening at 835-Million-Address Scale, with Label-Free Transfer to New Chains2 Sep 2026
- 2026SALT-GNN: Handling Dense Neighborhoods in Anti-Money Laundering Graphs via Statistics-Aware Attention11 Jul 2026
- 2026Choosing a parallel heterogeneous ensemble method for tabular classification6 Jul 2026
- 2026Provably Communication-Efficient and Privacy-Preserving Federated Graph Neural Networks25 May 2026
- 2026Learning Graph Foundation Models on Riemannian Graph-of-Graphs11 May 2026
- 2026Federated Layer-Wise Exchange for Cross-Client Money Laundering Pattern Detection7 May 2026
- 2026TransXion: A High-Fidelity Graph Benchmark for Realistic Anti-Money Laundering19 Apr 2026
- 2026Extracting Money Laundering Transactions from Quasi-Temporal Graph Representation3 Apr 2026
- 2026A Tight Expressivity Hierarchy for GNN-Based Entity Resolution in Master Data Management28 Mar 2026
12 newest of 27 All 27 (JSON)