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Streaming variational inference-empowered Bayesian nonparametric clustering for online structural damage detection with transmissibility function
Mei, Ling Feng1; Yan, Wang Ji1,2; Yuen, Ka Veng1,2; Beer, Michael3,4,5
2024-07-22
Source PublicationMechanical Systems and Signal Processing
ISSN0888-3270
Volume222
AbstractTransmissibility function (TF) is widely applied in damage detection due to its sensitivity to damage and robustness to external excitations, but its application in online damage detection is rarely reported due to challenges in handling data streams. This study proposes a new TF-based online damage detection method that integrates a truncation-free variational inference-based full Dirichlet process Gaussian mixture model (VI-FDPGMM) within a streaming variational inference (SVI) paradigm. As an improved Bayesian nonparametric approach, the truncation-free VI-FDPGMM addresses the issue of truncating mixing components in traditional VI-DPGMM for online learning with increasing data by strategically setting the variational distributions of parameters for the components without assigned data (i.e., inactivated components) to their prior distributions based on the Bayesian viewpoint, which enables computing the probabilities to assign data points to these components and determining the creation of new components. As a result, the truncation-free VI-FDPGMM allows dynamically adding components to the mixture model, providing the flexibility to automatically adapt the number of components for arbitrary amounts of data. This characteristic enables its intuitive integration into the SVI paradigm featured as the variational posterior conditioned on the previous data as the prior when new data are observed, facilitating continuous refinement of the mixture model without repeatedly making inference of previous data. Therefore, the proposed method is highly efficient and well-suited for online damage detection. The proposed method is validated using two case studies, demonstrating its capability to dynamically generate new clusters as new data are available online to indicate the emergence of new damage patterns during the monitoring process, which enables it to perform structural anomaly detection tasks in a semi-supervised manner. Furthermore, the method outperforms some state-of-the-art methods due to its capability for continuous model refinement and robustness in interpreting and capturing uncertainties.
KeywordBayesian Nonparametric Model Damage Detection Streaming Variational Inference Truncation-free Full Dirichlet Process Gaussian Mixture Model
DOI10.1016/j.ymssp.2024.111767
URLView the original
Language英語English
Scopus ID2-s2.0-85200435797
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Document TypeJournal article
CollectionTHE STATE KEY LABORATORY OF INTERNET OF THINGS FOR SMART CITY (UNIVERSITY OF MACAU)
DEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING
Affiliation1.State Key Laboratory of Internet of Things for Smart City and Department of Civil and Environmental Engineering, University of Macau, China
2.Guangdong-Hong Kong-Macau Joint Laboratory for Smart Cities, China
3.Leibniz Universität Hannover, Institute for Risk and Reliability, Hannover, Germany
4.University of Liverpool, Institute for Risk and Uncertainty, Liverpool, United Kingdom
5.Tsinghua University, Department of Civil Engineering, Beijing, China
First Author AffilicationUniversity of Macau
Recommended Citation
GB/T 7714
Mei, Ling Feng,Yan, Wang Ji,Yuen, Ka Veng,et al. Streaming variational inference-empowered Bayesian nonparametric clustering for online structural damage detection with transmissibility function[J]. Mechanical Systems and Signal Processing, 2024, 222.
APA Mei, Ling Feng., Yan, Wang Ji., Yuen, Ka Veng., & Beer, Michael (2024). Streaming variational inference-empowered Bayesian nonparametric clustering for online structural damage detection with transmissibility function. Mechanical Systems and Signal Processing, 222.
MLA Mei, Ling Feng,et al."Streaming variational inference-empowered Bayesian nonparametric clustering for online structural damage detection with transmissibility function".Mechanical Systems and Signal Processing 222(2024).
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