arXiv:2507.19519cs.LGcs.AI2025-07被引 5

用物理知识选特征,让结构健康监测模型跨结构更通用。

Physics-informed transfer learning for SHM via feature selection

论文配图:Physics-informed transfer learning for SHM via feature selection
图 1 · 摘自论文原文
  • 引入物理先验筛选对损伤响应一致的特征
  • 模态置信准则MAC与分类性能高度相关
  • 适合缺乏标签数据的跨结构监测场景

用于训练结构健康监测(SHM)系统的数据成本高且难以获取,尤其是标注数据。群体级SHM可通过利用多结构共享数据缓解此问题,但不同结构间分布差异导致传统机器学习方法难以泛化。为此,本文采用无监督迁移学习,通过物理知识选择源结构和特征,使条件分布保持一致。研究发现,模态置信准则(MAC)能有效量化健康结构模态间的对应关系,且与衡量联合分布相似性的监督指标高度相关,是判断分类器跨域泛化能力的关键。因此,将MAC作为特征选择标准,可选出在损伤下表现稳定的特征集。该方法在数值与实验案例中均验证了有效性。

原文摘要 · Abstract (English)

Data used for training structural health monitoring (SHM) systems are expensive and often impractical to obtain, particularly labelled data. Population-based SHM presents a potential solution to this issue by considering the available data across a population of structures. However, differences between structures will mean the training and testing distributions will differ; thus, conventional machine learning methods cannot be expected to generalise between structures. To address this issue, transfer learning (TL), can be used to leverage information across related domains. An important consideration is that the lack of labels in the target domain limits data-based metrics to quantifying the discrepancy between the marginal distributions. Thus, a prerequisite for the application of typical unsupervised TL methods is to identify suitable source structures (domains), and a set of features, for which the conditional distributions are related to the target structure. Generally, the selection of domains and features is reliant on domain expertise; however, for complex mechanisms, such as the influence of damage on the dynamic response of a structure, this task is not trivial. In this paper, knowledge of physics is leveraged to select more similar features, the modal assurance criterion (MAC) is used to quantify the correspondence between the modes of healthy structures. The MAC is shown to have high correspondence with a supervised metric that measures joint-distribution similarity, which is the primary indicator of whether a classifier will generalise between domains. The MAC is proposed as a measure for selecting a set of features that behave consistently across domains when subjected to damage, i.e. features with invariance in the conditional distributions. This approach is demonstrated on numerical and experimental case studies to verify its effectiveness in various applications.

结构健康监测迁移学习特征选择

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