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Graph Anomaly Detection in Time Series: A Survey

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arxiv 2302.00058 v6 pith:M2YQ4KY3 submitted 2023-01-31 cs.LG

classification cs.LG
keywords timeanomalydetectiontime-seriesdatagraphseriesapplications
verification ladder T0 review T1 audit T2 compute T3 formal
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With the recent advances in technology, a wide range of systems continue to collect a large amount of data over time and thus generate time series. Time-Series Anomaly Detection (TSAD) is an important task in various time-series applications such as e-commerce, cybersecurity, vehicle maintenance, and healthcare monitoring. However, this task is very challenging as it requires considering both the intra-variable dependency (relationships within a variable over time) and the inter-variable dependency (relationships between multiple variables) existing in time-series data. Recent graph-based approaches have made impressive progress in tackling the challenges of this field. In this survey, we conduct a comprehensive and up-to-date review of TSAD using graphs, referred to as G-TSAD. First, we explore the significant potential of graph representation for time-series data and and its contributions to facilitating anomaly detection. Then, we review state-of-the-art graph anomaly detection techniques, mostly leveraging deep learning architectures, in the context of time series. For each method, we discuss its strengths, limitations, and the specific applications where it excels. Finally, we address both the technical and application challenges currently facing the field, and suggest potential future directions for advancing research and improving practical outcomes.

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  1. HLSAD: Hodge Laplacian-based Simplicial Anomaly Detection

    cs.LG 2025-05 conditional novelty 5.0 of 10

    HLSAD uses the singular values of Hodge Laplacians on temporal simplicial complexes to flag anomalous snapshots, outperforming graph-only baselines on several benchmarks.

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