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Kernel Dependence Analysis for Structural Health Monitoring with High-dimensional, Small Size Datasets

机译:使用高维,小尺寸数据集进行结构健康监测的内核相关性分析

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Health monitoring functionality is a key feature of smart and sustainable structures. The statistical inference problem for this functionality usually boils down to novelty detection which aims to distinguishing the intact and damaged states of structures. An important challenge in this unsupervised inference problem is the characterization of dependencies between structural responses at various locations. Failure m considering this phenomenon usually results in high false positive (FP) rates and hence, inaccurate damage localization. The existing methods, such as graphical models or conditional classifiers, mainly use density estimation for considering the dependencies of random variables (RV) in structural health monitoring (SHM); and as a result, these methods usually suffer from the curse of dimensionality which makes them unable to handle high-dimensional problems. In this study, we propose a new approach for novelty detection that uses kernel dependence techniques, instead of density estimations methods, for considering- statistical dependencies of RVs. Thus, the proposed method can handle arbitrarily high-dimensional problems with no simplifying assumptions The performance of the algorithm was tested by experimental data in a SHM application problem. The results show that the damage localization accuracy can be significantly improved by the proposed technique compared to its peer methods.
机译:健康监控功能是智能且可持续的结构的关键功能。此功能的统计推断问题通常归结为新颖性检测,旨在区分结构的完整状态和损坏状态。在这个无监督的推理问题中,一个重要的挑战是表征各个位置的结构响应之间的依存关系。考虑这种现象的故障通常会导致较高的假阳性(FP)率,因此损坏定位不准确。现有的方法,例如图形模型或条件分类器,主要使用密度估计来考虑结构健康监测(SHM)中随机变量(RV)的依赖性。结果,这些方法通常遭受维度的诅咒,这使得它们无法处理高维度的问题。在这项研究中,我们提出了一种新颖性检测的新方法,该方法使用核依赖性技术,而不是密度估计方法,来考虑RV的统计依赖性。因此,所提出的方法可以在没有简化假设的情况下处理任意高维问题。该算法的性能已通过SHM应用问题中的实验数据进行了测试。结果表明,与同类方法相比,该方法可以显着提高损伤的定位精度。

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