most citedCompressive Sampling of Polynomial Chaos Expansions: Convergence Analysis and Sampling Strategies

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math.ST2014★ 136 cited

Coherence Motivated Sampling and Convergence Analysis of Least-Squares Polynomial Chaos Regression

Jerrad Hampton, Alireza Doostan

Independent sampling of orthogonal polynomial bases via Monte Carlo is of interest for uncertainty quantification of models, using Polynomial Chaos (PC) expansions. It is known tha…