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math.NA2017★ 1 cited
Sliced-Inverse-Regression-Aided Rotated Compressive Sensing Method for Uncertainty Quantification
Xiu Yang, Weixuan Li, Alexandre Tartakovsky
Compressive-sensing-based uncertainty quantification methods have become a pow- erful tool for problems with limited data. In this work, we use the sliced inverse regression (SIR)…
math.NA2017★ 4 cited
A General Framework for Enhancing Sparsity of Generalized Polynomial Chaos Expansions
Xiu Yang, Xiaoliang Wan, Lin Lin +1
Compressive sensing has become a powerful addition to uncertainty quantification when only limited data is available. In this paper we provide a general framework to enhance the sp…