评估结构健康监测数据集的信息内容

C. Wickramarachchi, Xiaofei Jiang, E. Cross, K. Worden
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摘要

基于数据的SHM高度依赖于机器学习算法所需的训练数据的质量。在工程兴趣的许多情况下,数据可能是稀缺的,这是一个问题。然而,在某些情况下,数据非常丰富,可能会造成计算负担。在数据丰富的情况下,通常需要选择对感兴趣的问题具有最高价值(在某种意义上)的数据子集。在本文中,“值”是根据信息内容来解释的,而熵是对该内容的度量,以便在不损害有用信息的情况下压缩训练数据。使用最小协方差行列式,首先使用包容性异常值分析分离数据集。然后使用参数和非参数密度估计器评估分离数据集的熵,以识别携带最多信息的数据子集。这里使用Z24-Bridge数据集来说明这个想法,其中的熵值表明包含环境变化和损害数据的子集信息最丰富。该子集占整个数据集的一半,这表明可以显著减少SHM算法的训练数据量,同时保留分析所需的信息。
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ASSESSING THE INFORMATION CONTENT OF DATASETS FOR STRUCTURAL HEALTH MONITORING
Data-based SHM is highly dependent on the quality of the training data needed for machine learning algorithms. In many cases of engineering interest, data can be scarce, and this is a problem. However, in some cases, data are abundant and can create a computational burden. In data-rich situations, it is often desirable to select the subset(s) of the data which are of highest value (in some sense) for the problem of interest. In this paper, ‘value’ is interpreted in terms of information content, and entropy is used a measure of that content in order to condense training data without compromising useful information. Using the minimum covariance determinant, the dataset is first separated using inclusive outlier analysis. The entropies of the separated datasets are then assessed using parametric and nonparametric density estimators to identify the subset of data carrying most information. The Z24-Bridge dataset is used here to illustrate the idea, where the entropy values indicate that the subset containing data from environmental variations and damage is most rich in information. This subset was made up of half of the entire dataset, suggesting that it is possible to significantly reduce the amount of training data for an SHM algorithm whilst retaining the required information for analysis.
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