224 citations · 360 across the 3 of their papers we have counts for
3 papers
stat.ML2022
A Priori Denoising Strategies for Sparse Identification of Nonlinear Dynamical Systems: A Comparative Study
Alexandre Cortiella, Kwang-Chun Park, Alireza Doostan
In recent years, identification of nonlinear dynamical systems from data has become increasingly popular. Sparse regression approaches, such as Sparse Identification of Nonlinear D…
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…
math.PR2014★ 224 cited
Compressive Sampling of Polynomial Chaos Expansions: Convergence Analysis and Sampling Strategies
Jerrad Hampton, Alireza Doostan
Sampling orthogonal polynomial bases via Monte Carlo is of interest for uncertainty quantification of models with high-dimensional random inputs, using Polynomial Chaos (PC) expans…