论文标题
用于结构监测数据推出和响应预测的增量贝叶斯张量学习
Incremental Bayesian tensor learning for structural monitoring data imputation and response forecasting
论文作者
论文摘要
人们对缺少传感器数据插补的兴趣增加,由于传感器故障引起的不连续感应,这在结构健康监测(SHM)领域无处不在。为了解决这个基本问题,本文提出了一种增量的贝叶斯张量学习方法,用于重建SHM中时空缺失数据和对结构响应的预测。特别是,首先构建时空张量,然后是贝叶斯张分解,该分解提取了缺少数据插补的潜在特征。为了基于不完整的感应数据启用结构响应预测,在增量学习方案中,张量分解进一步与矢量自动进程集成在一起。基于应变时间历史与温度记录高度相关的假设,在混凝土桥的连续现场传感数据(包括应变和温度记录)上进行了验证。结果表明,即使存在大量随机缺失,结构化丢失及其组合,提出的概率张量学习方法也是准确且健壮的。还研究了等级选择对归纳和预测性能的影响。结果表明,对于随机丢失的随机缺失,可以实现更好的估计精度,而结构性丢失的等级较低。
There has been increased interest in missing sensor data imputation, which is ubiquitous in the field of structural health monitoring (SHM) due to discontinuous sensing caused by sensor malfunction. To address this fundamental issue, this paper presents an incremental Bayesian tensor learning method for reconstruction of spatiotemporal missing data in SHM and forecasting of structural response. In particular, a spatiotemporal tensor is first constructed followed by Bayesian tensor factorization that extracts latent features for missing data imputation. To enable structural response forecasting based on incomplete sensing data, the tensor decomposition is further integrated with vector autoregression in an incremental learning scheme. The performance of the proposed approach is validated on continuous field-sensing data (including strain and temperature records) of a concrete bridge, based on the assumption that strain time histories are highly correlated to temperature recordings. The results indicate that the proposed probabilistic tensor learning approach is accurate and robust even in the presence of large rates of random missing, structured missing and their combination. The effect of rank selection on the imputation and prediction performance is also investigated. The results show that a better estimation accuracy can be achieved with a higher rank for random missing whereas a lower rank for structured missing.