Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC)

3 February 2017

Papers citing "Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC)"

13 / 13 papers shown

Title
Polynomial Chaos Expansions on Principal Geodesic Grassmannian Submanifolds for Surrogate Modeling and Uncertainty Quantification Dimitris G. Giovanis Dimitrios Loukrezis Ioannis G. Kevrekidis Michael D. Shields 128 5 0 30 Jan 2024
Bi-fidelity Variational Auto-encoder for Uncertainty Quantification Nuojin Cheng Osman Asif Malik Subhayan De Stephen Becker Alireza Doostan 122 11 0 25 May 2023
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 128 11 0 25 Mar 2022
A survey of unsupervised learning methods for high-dimensional uncertainty quantification in black-box-type problems Katiana Kontolati Dimitrios Loukrezis D. D. Giovanis Lohit Vandanapu Michael D. Shields 146 47 0 09 Feb 2022
GenMod: A generative modeling approach for spectral representation of PDEs with random inputs Jacqueline Wentz Alireza Doostan 94 1 0 31 Jan 2022
A general framework of rotational sparse approximation in uncertainty quantification Mengqi Hu Y. Lou Xiu Yang 69 0 0 13 Jan 2021
Automatic selection of basis-adaptive sparse polynomial chaos expansions for engineering applications Nora Lüthen S. Marelli Bruno Sudret 153 31 0 10 Sep 2020
Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark Nora Lüthen S. Marelli Bruno Sudret 169 171 0 04 Feb 2020
Sparse Polynomial Chaos Expansions via Compressed Sensing and D-optimal Design Paul Diaz Alireza Doostan Jerrad Hampton 98 102 0 29 Dec 2017
Least Squares Polynomial Chaos Expansion: A Review of Sampling Strategies M. Hadigol Alireza Doostan 87 134 0 23 Jun 2017
Divide and Conquer: An Incremental Sparsity Promoting Compressive Sampling Approach for Polynomial Chaos Expansions Negin Alemazkoor Hadi Meidani 75 26 0 21 Jun 2016
$On Polynomial Chaos Expansion via Gradient-enhanced $\ell_1$-minimization$ On Polynomial Chaos Expansion via Gradient-enhanced $\ell_1$ -minimization Jigen Peng Jerrad Hampton Alireza Doostan 116 80 0 01 Jun 2015
Coherence Motivated Sampling and Convergence Analysis of Least-Squares Polynomial Chaos Regression Jerrad Hampton Alireza Doostan 97 150 0 07 Oct 2014