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Graph Mixture of Experts and Memory-augmented Routers for Multivariate Time Series Anomaly Detection

AAAI 2025 · Time series › Anomaly detection · approach: Multivariate anomaly detection · 22 citations (OpenAlex)

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Proposes Graph-MoE, a plug-and-play mixture-of-experts over hierarchical GNN layers with memory-augmented routers, for unsupervised multivariate time series anomaly detection.

Problem

Unsupervised multivariate time series anomaly detection with GNN-based methods, which only use the last GNN layer's output and ignore intermediate multi-hop representations.

Approach

Treat each GNN layer as an expert that aggregates entity features with global-guided attention, and use a memory-augmented router (recurrent memory of historical features with gates) to weight the experts' outputs, so intermediate-layer information is integrated adaptively.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Graph-MoE instead of MTGFlowMTS anomaly detection · SWaT, WADI, PSM, MSL, SMDAUROC: 87.2$\pm$1.3 vs 84.8$\pm$1.5 (SWaT); 94.2$\pm$0.8 vs 91.9$\pm$1.1 (WADI); 88.0$\pm$0.7 vs 85.7$\pm$1.5 (PSM); 72.1$\pm$1Helped
Vary the number of experts from 1 to 4; 3 experts performs best (ablation)Graph-MoE · SWaT and WADIAUROC: SWaT: 86.2$\pm$0.7 (1), 86.8$\pm$0.4 (2), 87.2$\pm$1.3 (3), 85.6$\pm$2.1 (4); WADI: 92.5$\pm$1.2 (1), 93.4$\pm$0.6 (2), Mixed
Add MoE while keeping MAR (ablation)Graph-MoE · SWaTAUROC: 86.2$\pm$1.2 -> 87.2$\pm$1.3Helped
Add MoE while keeping MAR (ablation)Graph-MoE · WADIAUROC: 92.9$\pm$1.0 -> 94.2$\pm$0.8Helped
Add MAR while keeping MoE (ablation)Graph-MoE · SWaTAUROC: 86.8$\pm$1.2 -> 87.2$\pm$1.3Helped
Add MAR while keeping MoE (ablation)Graph-MoE · WADIAUROC: 93.5$\pm$0.4 -> 94.2$\pm$0.8Helped
Increase Graph-MoE layer count up to 3, then increase it to 4 (ablation)Graph-MoE · Not specified in the excerptAUROCMixed
Add Graph-MoE to GANFGANF · SWaTAUROC: 79.8 -> 82.6; gain of 3.5 percentage pointsHelped
Add Graph-MoE to MTGFlowMTGFlow · SWaTAUROC: 84.8 -> 87.2; gain of 2.8%Helped
Add Graph-MoE to USDUSD · SWaTAUROC: 90.2 -> 92.3; gain of 2.3 percentage pointsHelped

Limitations

Experimental setup

Datasets: SWaT WADI PSM MSL SMD

Benchmarks: SWaT WADI PSM MSL SMD

Metrics: AUROC

Baselines: DeepSVDD DAGMM ALOCC DROCC DeepSAD USAD GANF MTGFlow USD

Builds on: MTGFlow GANF mixture of experts normalizing flow

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