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Leveraging Diffusion Model as Pseudo-Anomalous Graph Generator for Graph-Level Anomaly Detection

ICML 2025 · Graph learning › Graph self-supervised learning · approach: Graph anomaly detection

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Proposes AGDiff, which pre-trains a variational graph autoencoder, then uses a conditioned latent diffusion model to generate pseudo-anomalous graphs from normal ones and jointly trains a GIN classifier to separate them from normal graphs for unsupervised graph-level anomaly detection.

Problem

Graph-level anomaly detection suffers from scarce labeled anomalies, since training data usually contains only normal graphs or very few anomalies, which makes learning robust decision boundaries hard.

Approach

Use a latent diffusion model with a learnable noise-perturbation condition to generate pseudo-anomalous graphs close to normal ones in a pre-trained graph latent space, and jointly optimize the diffusion model and a GIN anomaly classifier so the detector learns explicit decision boundaries instead of relying only on reconstruction error.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
add pre-training (ablation)AGDiff · MUTAGAUC: 71.76±26.65 -> 95.83±2.15Helped
add pre-training (ablation)AGDiff · MUTAGF1-Score: 72.22±27.21 -> 89.45±1.37Helped
add pre-training (ablation)AGDiff · ER MDAUC: 64.10±9.87 -> 91.21±1.84Helped
add pre-training (ablation)AGDiff · ER MDF1-Score: 61.49±9.54 -> 86.04±2.26Helped
add condition embedding (ablation)AGDiff · MUTAGAUC: 63.62±38.32 -> 95.83±2.15Helped
add condition embedding (ablation)AGDiff · MUTAGF1-Score: 65.19±37.44 -> 89.45±1.37Helped
add condition embedding (ablation)AGDiff · ER MDAUC: 68.40±0.21 -> 91.21±1.84Helped
add condition embedding (ablation)AGDiff · ER MDF1-Score: 65.19±0.60 -> 86.04±2.26Helped
add latent diffusion instead of using reconstruction error (ablation)AGDiff · MUTAGAUC: 48.16±4.46 -> 95.83±2.15Helped
add latent diffusion instead of using reconstruction error (ablation)AGDiff · MUTAGF1-Score: 50.67±1.89 -> 89.45±1.37Helped
add latent diffusion instead of using reconstruction error (ablation)AGDiff · ER MDAUC: 63.88±3.07 -> 91.21±1.84Helped
add latent diffusion instead of using reconstruction error (ablation)AGDiff · ER MDF1-Score: 58.48±1.54 -> 86.04±2.26Helped

Surprising findings

Limitations

Experimental setup

Datasets: MUTAG DD COX2 ER_MD SW-620 MOLT-4 PC-3 MCF-7

Benchmarks: MUTAG DD COX2 ER_MD SW-620 MOLT-4 PC-3 MCF-7

Metrics: AUC F1-Score

Baselines: SP kernel WL kernel NH kernel RW kernel OCGIN OCGTL GLocalKD iGAD SIGNET MUSE DO2HSC

Builds on: DDPM GIN GLocalKD iGAD SIGNET

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