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This work introduces a monte carlo based technique powered with the ability to estimate the individual uncertainty contributions of each model parameter. The proposed technique utilizes the so-called parameter space analysis to identify the importance of influential Degrees of Freedom (DoFs) with respect to the uncertainty quantification problem. Once determined, these DoFs can be used to define and solve a linear system of equations based on linearizing the model of interest to determine the uncertainty contribution of each DoFs in conjunction with the monte carlo based samples.
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Bassam A. Khuwaileh, Mohammad A. AlShabi, Mamdouh El Haj Assad, "Uncertainty contribution estimation for Monte Carlo uncertainty quantification via subspace analysis: neutronics case study," Proc. SPIE 11730, Big Data III: Learning, Analytics, and Applications, 117300C (12 April 2021); https://doi.org/10.1117/12.2587273