The effectiveness of vibration-based damage detection depends heavily on the accuracy and completeness of the measured data. However, data loss is inevitable in structural health monitoring, making data reconstruction crucial to ensuring structural safety. However, revealing all complex correlations between the input and the output data in machine learning approaches remains a challenge. Beyond that, even though it is known that spatiotemporal, auto-temporal, and temperature data is influential to the fluctuations of acceleration data, using all three correlations in machine-learning approaches simultaneously remains a bottleneck. To address these challenges, this study presents a novel approach for dynamic response data recovery employing a Cauchy–Schwarz variational autoencoder with a hybrid data arrangement model called the spatial-auto-temporal thermal consistency model. The model uses a probabilistic encoder-decoder structure that leverages the rich expressiveness of a mixed Gaussian as the latent representation to reveal complex relationships between input and output data. The unique architecture of the deep learning model also enables it to be trained using spatiotemporal, auto-temporal, and temperature dependencies simultaneously in the SATTC configuration. The effectiveness of the proposed approach is demonstrated through a case study of field data from the Guangzhou New TV Tower (GNTT). The effects of input channels and measurement noise are also investigated. The quantitative analysis and modal identification results indicate that the proposed approach yields more accurate data reconstruction than VAE-ST, and GAN-ST, and slightly more accurate than CSVAE-ST.
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