Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications

  title={Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications},
  author={Nora Luthen and Stefano Paolo Marelli and Bruno Sudret},
  journal={International Journal for Uncertainty Quantification},
Sparse polynomial chaos expansions (PCE) are an efficient and widely used surrogate modeling method in uncertainty quantification for engineering problems with computationally expensive models. To make use of the available information in the most efficient way, several approaches for so-called basis-adaptive sparse PCE have been proposed to determine the set of polynomial regressors (“basis”) for PCE adaptively. The goal of this paper is to help practitioners identify the most suitable methods… 
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