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Deterministic Sampling for Uncertainty Quantification in Complex Algorithm-Based Measurements

机译:基于复合算法测量中的不确定性定量的确定性采样

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The paper deals with the problem of estimating measured values in indirect measurements based on complex processing algorithm. To this aim, deterministic sampling of the random variables (modeling the input quantities) is suggested to efficiently estimate expectation and standard uncertainty of algorithm outputs. In particular, the authors propose an enhanced version of the traditional unscented transform to propagate a defined set of statistical moments of the input quantities through the algorithms (even in the presence of non-analytical formulation). This way, it is possible to assure estimates of output expectation and standard uncertainty as good as those achieved by means of the very large ensemble of random variates typically exploited in brute force Monte Carlo method.
机译:本文涉及基于复杂处理算法的间接测量估算测量值的问题。为此目的,建议采用随机变量的确定性采样(建模输入量),以有效地估计算法输出的预期和标准不确定性。特别是,作者提出了传统无编码变换的增强版本,通过算法传播输入量的定义统计矩(即使在非分析制剂的存在下)。这样,可以确保输出期望和标准不确定性的估计,以及通过通常在蛮力蒙特卡罗方法中公布的随机变体的非常大的随机变体实现的估计。

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