224 citations · 802 across the 12 of their papers we have counts for
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stat.CO2017★ 43 cited
Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC)
Jerrad Hampton, Alireza Doostan
For a large class of orthogonal basis functions, there has been a recent identification of expansion methods for computing accurate, stable approximations of a quantity of interest…
stat.CO2015★ 75 cited
On Polynomial Chaos Expansion via Gradient-enhanced -minimization
Ji Peng, Jerrad Hampton, Alireza Doostan
Gradient-enhanced Uncertainty Quantification (UQ) has received recent attention, in which the derivatives of a Quantity of Interest (QoI) with respect to the uncertain parameters a…