All Papers

Title

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

Title

A unified framework for learning with nonlinear model classes from arbitrary linear samples

Ben Adcock

Juan M. Cardenas

N. Dexter

119

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

01 Jun 2023

Gradient-enhanced deep neural network approximations

Xiaodong Feng

Li Zeng

UQCV

08 Nov 2022

Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification

Kyriakos D. Kantarakias

G. Papadakis

30 Jun 2022

On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples

132

25 Mar 2022

Global sensitivity analysis using derivative-based sparse Poincaré chaos expansions

164

01 Jul 2021

A general framework of rotational sparse approximation in uncertainty quantification

Mengqi Hu

Y. Lou

Xiu Yang

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

27 May 2020

Sparse Polynomial Chaos Expansions via Compressed Sensing and D-optimal Design

Paul Diaz

Alireza Doostan

Jerrad Hampton

102

29 Dec 2017

Global Sensitivity Analysis via Multi-Fidelity Polynomial Chaos Expansion

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

11 Sep 2017

A General Framework for Enhancing Sparsity of Generalized Polynomial Chaos Expansions

Xiu Yang

Xiaoliang Wan

Lin Lin

H. Lei

10 Jul 2017

Basis Adaptive Sample Efficient Polynomial Chaos (BASE-PC)

Jerrad Hampton

Alireza Doostan

100

03 Feb 2017

Enhancing Sparsity of Hermite Polynomial Expansions by Iterative Rotations

14 Jun 2015

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

Title

A unified framework for learning with nonlinear model classes from arbitrary linear samples

Ben Adcock

Juan M. Cardenas

N. Dexter

119

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