arXiv:2412.04781cs.LGphysics.data-an2024-12中稿 · Advanced Engineeri…被引 8

用深度生成模型与狄利克雷过程结合,实现结构异常检测的自适应聚类。

DPGIIL: Dirichlet Process-Deep Generative Model-Integrated Incremental Learning for Clustering in Transmissibility-based Online Structural Anomaly Detection

  • 融合深度生成模型与狄利克雷过程,自动确定最优聚类数。
  • 在三个案例中优于现有方法,动态识别异常并区分结构状态。
  • 适合需要在线学习和状态感知的结构健康监测场景。

基于振动响应(如传递函数)的聚类在结构异常检测中具有潜力。然而,现有方法难以确定最优聚类数,处理高维流数据能力弱,且依赖人工特征工程。本文提出一种新型聚类框架DPGIIL,结合深度生成模型(DGM)的表征学习能力和狄利克雷过程混合模型(DPMM)识别数据模式的优势。在变分贝叶斯推断框架下,导出了比证据下界更紧的对数边际似然下界,实现DGM与DPMM参数的联合优化,使DPMM可正则化DGM的特征提取过程。此外,设计基于贪婪分裂-合并的坐标上升变分推断方法以加速优化。利用DPMM的汇总统计量与网络参数,保留历史数据信息用于增量学习。在在线结构异常检测中,DPGIIL不仅能通过动态分配新数据到新簇检测异常,还能用不同簇指示不同结构状态,提供比传统检测器更丰富的运行条件信息。三个案例研究验证了该方法的动态适应性,并证明其在异常检测与聚类性能上优于部分先进方法。

原文摘要 · Abstract (English)

Clustering based on vibration responses, such as transmissibility functions (TFs), is promising in structural anomaly detection. However, most existing methods struggle to determine the optimal cluster number, handle high-dimensional streaming data, and rely heavily on manually engineered features due to their shallow structures. To address these issues, this work proposes a novel clustering framework, referred to as Dirichlet process-deep generative model-integrated incremental learning (DPGIIL), for online structural anomaly detection, which combines the advantages of deep generative models (DGMs) in representation learning and the Dirichlet process mixture model (DPMM) in identifying distinct patterns in observed data. Within the context of variational Bayesian inference, a lower bound on the log marginal likelihood of DPGIIL, tighter than the evidence lower bound, is derived analytically, which enables the joint optimization of DGM and DPMM parameters, thereby allowing the DPMM to regularize the DGM's feature extraction process. Additionally, a greedy split-merge scheme-based coordinate ascent variational inference method is devised to accelerate the optimization. The summary statistics of the DPMM, along with the network parameters, are used to retain information about previous data for incremental learning. For online structural anomaly detection, DPGIIL can not only detect anomalies by dynamically assigning incoming data to new clusters but also indicate different structural states using distinct clusters, thereby providing additional information about the operating conditions of the monitored structure compared to traditional anomaly detectors. Three case studies demonstrate the dynamic adaptability of the proposed method and show that it outperforms some state-of-the-art approaches in both structural anomaly detection and clustering.

异常检测聚类在线学习结构健康监测

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