First Steps in Probabilistic Hybrid Twin Extrapolation Based on Nonparametric Probabilistic Method and Machine Learning Algorithms

C. Ghnatios
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Abstract

With emerging mechanical engineering applications on a daily basis, the incorporation of data into models and data-driven modeling are subjected to constant improvement nowadays. This work tackles the case of incorporating experimental variability coming from experimental measurements into a deterministic model, ending up with an updated stochastic hybrid-twin of the investigated object. Moreover, the work proposes that a limited measurement on a limited part of a system of interest, can be used to extrapolate the enhanced stochastic model onto the complete system. Thus, the non-parametric probabilistic method (NPM) is used to built an enhanced updated stochastic model on a subsystem of a complete system, where the measurements are available. Later on, an online learning algorithm will extrapolate quasi-instantly the results into the complete system. A comparison on a simplified 1D beam model built using NPM on a complete system, and the one obtained by the proposed extrapolation technique from a subsystem, showcases the success of the suggested method.
基于非参数概率方法和机器学习算法的概率混合双胞胎外推初探
随着每天新兴的机械工程应用,将数据纳入模型和数据驱动的建模现在正在不断改进。这项工作解决了将实验测量的实验变异性纳入确定性模型的情况,最终得到了被调查对象的一个更新的随机混合双胞胎。此外,这项工作提出,在一个感兴趣的系统的有限部分的有限测量,可以用来外推增强的随机模型到完整的系统。因此,非参数概率方法(NPM)被用于建立一个增强更新的随机模型在一个完整的系统的子系统,其中测量是可用的。随后,在线学习算法将准即时地将结果外推到完整的系统中。用NPM在一个完整的系统上建立的简化一维梁模型,与用所提出的外推技术从一个子系统上得到的模型进行了比较,表明了所提出方法的成功。
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