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Revisiting Graph-Based Fraud Detection in Sight of Heterophily and Spectrum
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Proposes SEC-GFD, a semi-supervised GNN fraud detector that combines a spectrum-based hybrid-pass filter (band-pass wavelet bands plus high-pass bands of low-order neighbors) with a local environmental constraint contrastive loss, evaluated on four fraud datasets.
Problem
Graph-based fraud detection is a semi-supervised node classification task on heterophilic, class-imbalanced graphs, where vanilla GNNs (low-pass filters) perform poorly and existing models under-use node label information.
Approach
Decompose the graph spectrum into mixed-frequency bands (BWGNN-style beta wavelet band-pass filters plus high-pass filters of low-order neighbors, aggregated together), and add a contrastive local-environment constraint that pulls normal nodes' multi-hop neighbor representations toward their kNN feature-view representations while pushing anomalous nodes apart.
Key results
- SEC-GFD reports F1-macro/AUC of 77.73/91.39 on YelpChi, 92.35/98.23 on Amazon, 89.86/96.32 on T-Finance and 87.74/96.11 on T-Social, best on all four datasets versus listed baselines.
- Ablation on Amazon and T-Finance shows removing band-pass bands causes the largest drop (F1-macro 92.27 to 90.29 on Amazon), while removing the local environmental constraint drops F1-macro by 1.31 points on Amazon.
- Heterophily-edge clipping experiments show that removing heterophily edges in the training graph does not reliably help, and band-pass filters perform best overall.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add low-order pure high-pass bands (ablation) | SEC-GFD · Amazon and T-Finance | F1-macro: 1.27% | Helped |
| add low-order pure high-pass bands (ablation) | SEC-GFD · Amazon and T-Finance | AUC: 1.13% | Helped |
| add band-pass bands (ablation) | SEC-GFD · Amazon and T-Finance | AUC: 2.06% | Helped |
| add band-pass bands (ablation) | SEC-GFD · Amazon and T-Finance | F1-macro: 2.67% | Helped |
| add local environmental constraint (ablation) | SEC-GFD · Amazon and T-Finance | AUC: 0.86% | Helped |
| add local environmental constraint (ablation) | SEC-GFD · Amazon and T-Finance | F1-macro: 1.31% | Helped |
| clip heterophily edges across the whole graph | low-pass and band-pass filters · Amazon and YelpChi | performance | Helped |
| clip heterophily edges across the whole graph | high-pass filter · Amazon and YelpChi | performance | Hurt |
| clip heterophily edges in the training graph | band-pass and high-pass filters · Amazon and YelpChi | performance | Hurt |
| increase neighbor order C | SEC-GFD · Amazon, YelpChi, and T-Finance | F1 and AUC | No clear effect |
| increase neighbor order C | SEC-GFD · T-Social | F1 and AUC | Helped |
Surprising findings
- Clipping heterophily edges on the whole graph helps low-pass filters, but clipping only training-set heterophily edges leaves low-pass filters poor and degrades band-pass and high-pass filters, suggesting indiscriminate heterophily edge removal is not necessarily beneficial.
- Performance on T-Social keeps improving until neighbor order C reaches 5, whereas on the three smaller datasets gains stop after C=2.
Limitations
- Hyperparameters such as C and the hidden dimension differ per dataset and are tuned, with C=5 needed for T-Social.
- Experiments are limited to four datasets and static node-level fraud detection.
- The local environmental constraint uses kNN graphs built from features, adding a construction step whose cost and sensitivity are not analyzed in the text.
Experimental setup
Datasets: Amazon YelpChi T-Finance T-Social
Benchmarks: YelpChi Amazon T-Finance T-Social
Metrics: F1-macro AUC
Baselines: GCN GraphSAGE GAT GIN GraphConsis CARE-GNN PC-GNN GAGA ACM H2-FDetector BWGNN GDN
Builds on: BWGNN InfoNCE SGC GCN
Closest papers by meaning
- Partitioning Message Passing for Graph Fraud Detection (ICLR 2024 · similarity 0.93)
- A Label-free Heterophily-guided Approach for Unsupervised Graph Fraud Detection (AAAI 2025 · similarity 0.91)
- Dynamic Neighborhood Modeling via Node-Subgraph Contrastive Learning for Graph-Based Fraud Detection (AAAI 2025 · similarity 0.91)
- DiG-In-GNN: Discriminative Feature Guided GNN-Based Fraud Detector against Inconsistencies in Multi-Relation Fraud Graph (AAAI 2024 · similarity 0.90)
- Barely Supervised Learning for Graph-Based Fraud Detection (AAAI 2024 · similarity 0.89)
- Context-aware Graph Neural Network for Graph-based Fraud Detection with Extremely Limited Labels (AAAI 2025 · similarity 0.86)
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