参数恒等映射:THW信号和其他时间序列方法的评估程序

IF 2.5 4区 工程技术 Q3 CHEMISTRY, PHYSICAL International Journal of Thermophysics Pub Date : 2025-01-15 DOI:10.1007/s10765-024-03499-w
U. Hammerschmidt
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引用次数: 0

摘要

详细介绍了参数恒等映射(PIM)这一数学工具。它的任务是有效地协助(1)选择测量模型的最佳形式,例如瞬态热线方法;(2)通过两个全局校正因子完全调整所选模型。这些因素控制调整后模型的振幅和时间响应,从而使这种形式的模型最优地预测实验数据点。调整后模型的好坏可以很容易地通过一个简单的统计来确定,即相似度,\(R^{2} \le 1\)。\(R^{2}\)被称为决定系数。在这里,它描述了观测值中可从估计值预测的变化比例。PIM能够创建一个非常接近统一的相似性水平的调整模型,\(R^{2} \approx 1\)。
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Parametrical Identity Mapping: An Evaluation Procedure for THW Signals and Other Time-Series Methods

The mathematical tool “Parametrical Identity Mapping (PIM)” is presented in detail. Its tasks are to effectively assists (1) in choosing the best form of a measurement model, e.g., for the transient hot-wire method and (2) in completely adjusting the selected model by two global correction factors. These factors control the amplitude and time-response of the adjusted model in a way that this form of the model optimally predicts the experimental data points. The goodness of the adjusted model can easily be determined by a simple statistic, the level of similarity, \(R^{2} \le 1\). \(R^{2}\) is known as the coefficient of determination. Here, it describes the proportion of the variation in the observed values that is predictable from the estimated values. PIM is able to create an adjusted model of a level of similarity that comes very close to unity, \(R^{2} \approx 1\).

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来源期刊
CiteScore
4.10
自引率
9.10%
发文量
179
审稿时长
5 months
期刊介绍: International Journal of Thermophysics serves as an international medium for the publication of papers in thermophysics, assisting both generators and users of thermophysical properties data. This distinguished journal publishes both experimental and theoretical papers on thermophysical properties of matter in the liquid, gaseous, and solid states (including soft matter, biofluids, and nano- and bio-materials), on instrumentation and techniques leading to their measurement, and on computer studies of model and related systems. Studies in all ranges of temperature, pressure, wavelength, and other relevant variables are included.
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