$On Polynomial Chaos Expansion via Gradient-enhanced $\ell_1$-minimization$

On Polynomial Chaos Expansion via Gradient-enhanced $\ell_1$ -minimization

1 June 2015

Alireza Doostan

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Papers citing "On Polynomial Chaos Expansion via Gradient-enhanced $\ell_1$-minimization"

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Title
A unified framework for learning with nonlinear model classes from arbitrary linear samples Ben Adcock Juan M. Cardenas N. Dexter 119 3 0 25 Nov 2023
CS4ML: A general framework for active learning with arbitrary data based on Christoffel functions Ben Adcock Juan M. Cardenas N. Dexter 164 6 0 01 Jun 2023
Gradient-enhanced deep neural network approximations Xiaodong Feng Li Zeng UQCV 90 5 0 08 Nov 2022
Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification Kyriakos D. Kantarakias G. Papadakis 29 9 0 30 Jun 2022
On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples Ben Adcock Simone Brugiapaglia N. Dexter S. Moraga 132 11 0 25 Mar 2022
Global sensitivity analysis using derivative-based sparse Poincaré chaos expansions Nora Lüthen O. Roustant Fabrice Gamboa Bertrand Iooss S. Marelli Bruno Sudret 164 5 0 01 Jul 2021
A general framework of rotational sparse approximation in uncertainty quantification Mengqi Hu Y. Lou Xiu Yang 69 0 0 13 Jan 2021
$Sparse Identification of Nonlinear Dynamical Systems via Reweighted $\ell_1$-regularized Least Squares$ Sparse Identification of Nonlinear Dynamical Systems via Reweighted $\ell_1$ -regularized Least Squares A. Cortiella K. Park Alireza Doostan 77 77 0 27 May 2020
Sparse Polynomial Chaos Expansions via Compressed Sensing and D-optimal Design Paul Diaz Alireza Doostan Jerrad Hampton 102 102 0 29 Dec 2017
Global Sensitivity Analysis via Multi-Fidelity Polynomial Chaos Expansion P. Palar L. Zuhal K. Shimoyama T. Tsuchiya 55 66 0 23 Oct 2017
Principal component analysis and sparse polynomial chaos expansions for global sensitivity analysis and model calibration: application to urban drainage simulation J. Nagel J. Rieckermann Bruno Sudret 123 67 0 11 Sep 2017
A General Framework for Enhancing Sparsity of Generalized Polynomial Chaos Expansions Xiu Yang Xiaoliang Wan Lin Lin H. Lei 68 10 0 10 Jul 2017
Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC) Jerrad Hampton Alireza Doostan 100 44 0 03 Feb 2017
Enhancing Sparsity of Hermite Polynomial Expansions by Iterative Rotations Xiu Yang H. Lei Nathan A. Baker Guang Lin 61 53 0 14 Jun 2015