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math.NA2019★ 3 cited
Tensor train-Karhunen-Loève expansion for continuous-indexed random fields using higher-order cumulant functions
Ling-Ze Bu, Wei Zhao, Wei Wang
The goals of this work are two-fold: firstly, to propose a new theoretical framework for representing random fields on a large class of multidimensional geometrical domain in the t…
math.NA2019★ 1 cited
Second order hierarchical partial least squares regression-polynomial chaos expansion for global sensitivity and reliability analyses of high-dimensional models
Ling-Ze Bu, Wei Zhao, Wei Wang
To tackle the curse of dimensionality and multicollinearity problems of polynomial chaos expansion for analyzing global sensitivity and reliability of models with high stochastic d…