arXiv:2509.17235cs.LG2025-09中稿 · the 18th ACM Inter…被引 4

用多图融合提升高维时间序列异常检测精度

Prospective Multi-Graph Cohesion for Multivariate Time Series Anomaly Detection

  • 融合长期静态图与短期动态图,建模变量间复杂关系
  • 提出图凝聚力损失,使动态图保持多样性并贴合长期趋势
  • 前瞻性图构建避免未来预测偏差,适合工业时序监控

高维时间序列异常检测在众多工业应用中至关重要。近年来,多变量时间序列异常检测(TSAD)逐渐采用图结构建模变量间关系,通常使用图神经网络(GNN)。尽管成果显著,现有方法多依赖单一图表示,难以捕捉多变量时间序列中复杂的多样化关系。为此,我们提出面向多变量时间序列异常检测的前瞻性多图凝聚(PMGC)框架。PMGC通过整合长期静态图与一系列短期实例级动态图,利用图凝聚力损失函数进行调控,以捕捉空间相关性。理论分析表明,该损失函数能促进动态图间的多样性,同时使其与静态图所蕴含的稳定长期关系对齐。此外,我们引入“前瞻性图构建”策略,缓解传统基于预测的TSAD方法对不可预测未来变化的敏感性。该策略使模型能在正常状态下准确反映并发序列间的关系,从而提升异常检测效果。在真实数据集上的实证评估显示,本方法优于现有主流TSAD技术。

原文摘要 · Abstract (English)

Anomaly detection in high-dimensional time series data is pivotal for numerous industrial applications. Recent advances in multivariate time series anomaly detection (TSAD) have increasingly leveraged graph structures to model inter-variable relationships, typically employing Graph Neural Networks (GNNs). Despite their promising results, existing methods often rely on a single graph representation, which are insufficient for capturing the complex, diverse relationships inherent in multivariate time series. To address this, we propose the Prospective Multi-Graph Cohesion (PMGC) framework for multivariate TSAD. PMGC exploits spatial correlations by integrating a long-term static graph with a series of short-term instance-wise dynamic graphs, regulated through a graph cohesion loss function. Our theoretical analysis shows that this loss function promotes diversity among dynamic graphs while aligning them with the stable long-term relationships encapsulated by the static graph. Additionally, we introduce a "prospective graphing" strategy to mitigate the limitations of traditional forecasting-based TSAD methods, which often struggle with unpredictable future variations. This strategy allows the model to accurately reflect concurrent inter-series relationships under normal conditions, thereby enhancing anomaly detection efficacy. Empirical evaluations on real-world datasets demonstrate the superior performance of our method compared to existing TSAD techniques.

时间序列异常检测图神经网络多变量

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