24 citations · 28 across the 3 of their papers we have counts for
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math.NA2020★ 4 cited
Sparse approximation of data-driven Polynomial Chaos expansions: an induced sampling approach
Ling Guo, Akil Narayan, Yongle Liu +1
One of the open problems in the field of forward uncertainty quantification (UQ) is the ability to form accurate assessments of uncertainty having only incomplete information about…
math.NA2018
Stochastic collocation methods via minimization of Transformed penalty
Ling Guo, Jing Li, Yongle Liu
We study the properties of sparse reconstruction of transformed (TL1) minimization and present improved theoretical results about the recoverability and the accuracy of th…
math.NA2018★ 24 cited
Data-driven polynomial chaos expansions: a weighted least-square approximation
Ling Guo, Yongle Liu, Tao Zhou
In this work, we combine the idea of data-driven polynomial chaos expansions with the weighted least-square approach to solve uncertainty quantification (UQ) problems. The idea of…