单自由度振荡器的模型验证:一个实例研究

IF 0.9 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Stats Pub Date : 2022-11-18 DOI:10.3390/stats5040071
E. Boone, Jan Hannig, R. Ghanam, Sujit Ghosh, F. Ruggeri, S. Prudhomme
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引用次数: 0

摘要

在本文中,我们研究了一个验证过程,以评估单自由度振荡器的预测能力。模型验证在这里被理解为确定模型预测观测到的物理事件或物理系统的重要特征的准确性的过程。因此,需要根据模型在系统实际模拟中使用的条件以及用于决策的特定感兴趣量来对模型进行评估。模型验证还假设对模型进行训练并根据实验数据进行测试。在这项工作中,虚拟数据是由非线性单自由度振荡器产生的,即所谓的预言机模型,该模型旨在提供对现实的准确表示。要验证的数学模型是从oracle模型中推导出来的,只是忽略了非线性项。通过贝叶斯更新来识别模型参数。该校准过程还包括由于模型错误指定而产生的建模误差,并建模为具有零平均值和待校准标准偏差的正态概率密度函数。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Model Validation of a Single Degree-of-Freedom Oscillator: A Case Study
In this paper, we investigate a validation process in order to assess the predictive capabilities of a single degree-of-freedom oscillator. Model validation is understood here as the process of determining the accuracy with which a model can predict observed physical events or important features of the physical system. Therefore, assessment of the model needs to be performed with respect to the conditions under which the model is used in actual simulations of the system and to specific quantities of interest used for decision-making. Model validation also supposes that the model be trained and tested against experimental data. In this work, virtual data are produced from a non-linear single degree-of-freedom oscillator, the so-called oracle model, which is supposed to provide an accurate representation of reality. The mathematical model to be validated is derived from the oracle model by simply neglecting the non-linear term. The model parameters are identified via Bayesian updating. This calibration process also includes a modeling error due to model misspecification and modeled as a normal probability density function with zero mean and standard deviation to be calibrated.
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来源期刊
CiteScore
0.60
自引率
0.00%
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审稿时长
7 weeks
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