Rethinking Reconstruction-based Graph-Level Anomaly Detection: Limitations and a Simple Remedy
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Abstract (arXiv)
Graph autoencoders (Graph-AEs) learn representations of given graphs by aiming to accurately reconstruct them. A notable application of Graph-AEs is graph-level anomaly detection (GLAD), whose objective is to identify graphs with anomalous topological structures and/or node features compared to the majority of the graph population. Graph-AEs for GLAD regard a graph with a high mean reconstruction error (i.e. mean of errors from all node pairs and/or nodes) as anomalies. Namely, the methods rest on the assumption that they would better reconstruct graphs with similar characteristics to the majority. We, however, report non-trivial counter-examples, a phenomenon we call reconstruction flip, and highlight the limitations of the existing Graph-AE-based GLAD methods. Specifically, we empirically and theoretically investigate when this assumption holds and when it fails. Through our analyses, we further argue that, while the reconstruction errors for a given graph are effective features for GLAD, leveraging the multifaceted summaries of the reconstruction errors, beyond just mean, can further strengthen the features. Thus, we propose a novel and simple GLAD method, named MUSE. The key innovation of MUSE involves taking multifaceted summaries of reconstruction errors as graph features for GLAD. This surprisingly simple method obtains SOTA performance in GLAD, performing best overall among 14 methods across 10 datasets.
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). Builds on 34 of its 58 references that are in the map. First posted on arXiv 27 Oct 2024.
Builds on
34 of 58 references.
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Citing papers per year: 2025: 7; 2026: 6.
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- 2026FedCIGAR: A Personalized Reconstruction Approach for Federated Graph-level Anomaly Detectioncited by 6
- 2025A Survey on Foundation-Model-Based Industrial Defect Detectioncited by 5
- 2025Graph Evidential Learning for Anomaly Detectioncited by 5
- 2025'Hello, World!': Making GNNs Talk with LLMscited by 2
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detectioncited by 2
- 2025Learning to Flow from Generative Pretext Tasks for Neural Architecture Encodingcited by 1
- 2026Detect by Yourself: Self-Designing Agentic Workflows for Few-Shot Graph Anomaly Detectioncited by 1
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detectioncited by 0
- 2025Physic-HM: Restoring Physical Generative Logic in Multimodal Anomaly Detection via Hierarchical Modulationcited by 0
- 2026Interpretable Graph-Level Anomaly Detection via Contrast with Normal Prototypescited by 0
- 2026GAD in the Wild: Benchmarking Graph Anomaly Detection under Realistic Deployment Challengescited by 0
- 2026Cross-Domain Industrial Fault Detection by Causal Mechanism Monitoringcited by 0
- 2026GLASS: Graph-Language Alignment with Spherical Scoring for Transferable Graph-Level Anomaly Detection4 Sep 2026
- 2026Cross-Domain Industrial Fault Detection by Causal Mechanism Monitoring1 Aug 2026
- 2026Detect by Yourself: Self-Designing Agentic Workflows for Few-Shot Graph Anomaly Detection26 May 2026
- 2026FedCIGAR: A Personalized Reconstruction Approach for Federated Graph-level Anomaly Detection10 May 2026
- 2026GAD in the Wild: Benchmarking Graph Anomaly Detection under Realistic Deployment Challenges8 May 2026
- 2026Interpretable Graph-Level Anomaly Detection via Contrast with Normal Prototypes11 Feb 2026
- 2025Physic-HM: Restoring Physical Generative Logic in Multimodal Anomaly Detection via Hierarchical Modulation25 Dec 2025
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detection6 Nov 2025
- 2025Learning to Flow from Generative Pretext Tasks for Neural Architecture Encoding21 Oct 2025
- 2025Graph Evidential Learning for Anomaly Detection31 May 2025
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detection27 May 2025
- 2025'Hello, World!': Making GNNs Talk with LLMs27 May 2025
1 more
- 2026FedCIGAR: A Personalized Reconstruction Approach for Federated Graph-level Anomaly Detectioncited by 6
- 2025A Survey on Foundation-Model-Based Industrial Defect Detectioncited by 5
- 2025Graph Evidential Learning for Anomaly Detectioncited by 5
- 2025'Hello, World!': Making GNNs Talk with LLMscited by 2
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detectioncited by 2
- 2025Learning to Flow from Generative Pretext Tasks for Neural Architecture Encodingcited by 1
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detectioncited by 0
- 2025Physic-HM: Restoring Physical Generative Logic in Multimodal Anomaly Detection via Hierarchical Modulationcited by 0
- 2026Interpretable Graph-Level Anomaly Detection via Contrast with Normal Prototypescited by 0
- 2026GAD in the Wild: Benchmarking Graph Anomaly Detection under Realistic Deployment Challengescited by 0
- 2026GLASS: Graph-Language Alignment with Spherical Scoring for Transferable Graph-Level Anomaly Detectioncited by 0
- 2026GLASS: Graph-Language Alignment with Spherical Scoring for Transferable Graph-Level Anomaly Detection4 Sep 2026
- 2026FedCIGAR: A Personalized Reconstruction Approach for Federated Graph-level Anomaly Detection10 May 2026
- 2026GAD in the Wild: Benchmarking Graph Anomaly Detection under Realistic Deployment Challenges8 May 2026
- 2026Interpretable Graph-Level Anomaly Detection via Contrast with Normal Prototypes11 Feb 2026
- 2025Physic-HM: Restoring Physical Generative Logic in Multimodal Anomaly Detection via Hierarchical Modulation25 Dec 2025
- 2025DeNoise: Learning Robust Graph Representations for Unsupervised Graph-Level Anomaly Detection6 Nov 2025
- 2025Learning to Flow from Generative Pretext Tasks for Neural Architecture Encoding21 Oct 2025
- 2025Graph Evidential Learning for Anomaly Detection31 May 2025
- 2025Learnable Kernel Density Estimation for Graphs and Its Application to Graph-Level Anomaly Detection27 May 2025
- 2025'Hello, World!': Making GNNs Talk with LLMs27 May 2025
- 2025A Survey on Foundation-Model-Based Industrial Defect Detection26 Feb 2025