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A COMPRESSED SENSING APPROACH TO UNCERTAINTY PROPAGATION FOR APPROXIMATELY ADDITIVE FUNCTIONS

机译:关于近似添加函数的不确定传播的压缩传感方法

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Computational models for numerically simulating physical systems are increasingly being used to support decision-making processes in engineering. Processes such as design decisions, policy level analyses, and experimental design settings are often guided by information gained from computational modeling capabilities. To ensure effective application of results obtained through numerical simulation of computational models, uncertainty in model inputs must be propagated to uncertainty in model outputs. For expensive computational models, the many thousands of model evaluations required for traditional Monte Carlo based techniques for uncertainty propagation can be prohibitive. This paper presents a novel methodology for constructing surrogate representations of computational models via compressed sensing. Our approach exploits the approximate addi-tivity inherent in many engineering computational modeling capabilities. We demonstrate our methodology on an analytical function and a cooled gas turbine blade application. The results of these applications reveal substantial computational savings over traditional Monte Carlo simulation with negligible loss of accuracy.
机译:用于数值模拟物理系统的计算模型越来越多地用于支持工程中的决策过程。设计决策,策略级别分析和实验设计设置的过程通常由从计算建模能力中获得的信息引导。为了确保通过数值模拟计算模型获得的结果,模型输入中的不确定性必须在模型输出中传播到不确定性。对于昂贵的计算模型,传统的蒙特卡罗基于不确定传播技术所需的数以千计的模型评估可能是禁止的。本文提出了一种新的方法,用于通过压缩感测构建计算模型的代理表示。我们的方法利用许多工程计算建模能力中固有的近似添加剂。我们在分析功能和冷却的燃气轮机刀片应用上展示了我们的方法。这些应用的结果揭示了传统蒙特卡罗模拟的大量计算节省,可忽略不计的准确性。

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