EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 49 3 (2015) 815-837 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Reduced Basis Greedy Selection Using Random Training Sets

Albert Cohen, Wolfgang Dahmen, Ronald DeVore and James Nichols
ESAIM: Mathematical Modelling and Numerical Analysis 54 (5) 1509 (2020)
DOI: 10.1051/m2an/2020004
See this article

Machine Learning, Optimization, and Big Data

Giovanni Migliorati
Lecture Notes in Computer Science, Machine Learning, Optimization, and Big Data 9432 1 (2015)
DOI: 10.1007/978-3-319-27926-8_1
See this article

Stochastic Collocation Methods via $\ell_1$ Minimization Using Randomized Quadratures

Ling Guo, Akil Narayan, Tao Zhou and Yuhang Chen
SIAM Journal on Scientific Computing 39 (1) A333 (2017)
DOI: 10.1137/16M1059680
See this article

Discrete Least-Squares Approximations over Optimized Downward Closed Polynomial Spaces in Arbitrary Dimension

Albert Cohen, Giovanni Migliorati and Fabio Nobile
Constructive Approximation 45 (3) 497 (2017)
DOI: 10.1007/s00365-017-9364-8
See this article

Approximation of high-dimensional parametric PDEs

Albert Cohen and Ronald DeVore
Acta Numerica 24 1 (2015)
DOI: 10.1017/S0962492915000033
See this article

A mixed ℓ1 regularization approach for sparse simultaneous approximation of parameterized PDEs

Nick Dexter, Hoang Tran and Clayton Webster
ESAIM: Mathematical Modelling and Numerical Analysis 53 (6) 2025 (2019)
DOI: 10.1051/m2an/2019048
See this article

Optimal sampling rates for approximating analytic functions from pointwise samples

Alexei Shadrin, Rodrigo B Platte and Ben Adcock
IMA Journal of Numerical Analysis 39 (3) 1360 (2019)
DOI: 10.1093/imanum/dry024
See this article

Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets

Giovanni Migliorati and Fabio Nobile
Journal of Complexity 31 (4) 517 (2015)
DOI: 10.1016/j.jco.2015.02.001
See this article

Low-rank canonical-tensor decomposition of potential energy surfaces: application to grid-based diagrammatic vibrational Green's function theory

Prashant Rai, Khachik Sargsyan, Habib Najm, Matthew R. Hermes and So Hirata
Molecular Physics 115 (17-18) 2120 (2017)
DOI: 10.1080/00268976.2017.1288937
See this article

Sparse Grids and Applications - Miami 2016

Bastian Bohn
Lecture Notes in Computational Science and Engineering, Sparse Grids and Applications - Miami 2016 123 19 (2018)
DOI: 10.1007/978-3-319-75426-0_2
See this article

Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points

Benjamin Peherstorfer, Zlatko Drmač and Serkan Gugercin
SIAM Journal on Scientific Computing 42 (5) A2837 (2020)
DOI: 10.1137/19M1307391
See this article

Spectral likelihood expansions for Bayesian inference

Joseph B. Nagel and Bruno Sudret
Journal of Computational Physics 309 267 (2016)
DOI: 10.1016/j.jcp.2015.12.047
See this article

A domain decomposition algorithm for optimal control problems governed by elliptic PDEs with random inputs

Yoongu Hwang, Jangwoon Lee, Jeehyun Lee and Myoungho Yoon
Applied Mathematics and Computation 364 124674 (2020)
DOI: 10.1016/j.amc.2019.124674
See this article

Worst-case Recovery Guarantees for Least Squares Approximation Using Random Samples

Lutz Kämmerer, Tino Ullrich and Toni Volkmer
Constructive Approximation 54 (2) 295 (2021)
DOI: 10.1007/s00365-021-09555-0
See this article

Infinite-Dimensional Compressed Sensing and Function Interpolation

Ben Adcock
Foundations of Computational Mathematics 18 (3) 661 (2018)
DOI: 10.1007/s10208-017-9350-3
See this article

Compressed Sensing and its Applications

Ben Adcock, Simone Brugiapaglia and Clayton G. Webster
Applied and Numerical Harmonic Analysis, Compressed Sensing and its Applications 93 (2017)
DOI: 10.1007/978-3-319-69802-1_3
See this article

How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings

Thomas Kühn, Winfried Sickel and Tino Ullrich
Journal of Complexity 63 101523 (2021)
DOI: 10.1016/j.jco.2020.101523
See this article

Agriculture as a Metaphor for Creativity in All Human Endeavors

A. J. Jakeman and J. D. Jakeman
Mathematics for Industry, Agriculture as a Metaphor for Creativity in All Human Endeavors 28 147 (2018)
DOI: 10.1007/978-981-10-7811-8_15
See this article

Effectively Subsampled Quadratures for Least Squares Polynomial Approximations

Pranay Seshadri, Akil Narayan and Sankaran Mahadevan
SIAM/ASA Journal on Uncertainty Quantification 5 (1) 1003 (2017)
DOI: 10.1137/16M1057668
See this article

Sequential Design of Experiment for Sparse Polynomial Chaos Expansions

Noura Fajraoui, Stefano Marelli and Bruno Sudret
SIAM/ASA Journal on Uncertainty Quantification 5 (1) 1061 (2017)
DOI: 10.1137/16M1103488
See this article

Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation

Ling Guo, Akil Narayan, Liang Yan and Tao Zhou
SIAM Journal on Scientific Computing 40 (1) A366 (2018)
DOI: 10.1137/17M1140960
See this article

Error Estimates for Multivariate Regression on Discretized Function Spaces

Bastian Bohn and Michael Griebel
SIAM Journal on Numerical Analysis 55 (4) 1843 (2017)
DOI: 10.1137/15M1013973
See this article

A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

Anthony Nouy and Florent Pled
ESAIM: Mathematical Modelling and Numerical Analysis 52 (5) 1763 (2018)
DOI: 10.1051/m2an/2018025
See this article

Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan

Albert Cohen and Giovanni Migliorati
Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan 233 (2018)
DOI: 10.1007/978-3-319-72456-0_12
See this article

Weighted Monte Carlo with Least Squares and Randomized Extended Kaczmarz for Option Pricing

Damir Filipovic, Kathrin Glau, Yuji Nakatsukasa and Francesco Statti
SSRN Electronic Journal (2019)
DOI: 10.2139/ssrn.3471164
See this article

Uncertainty Modeling for Engineering Applications

Pranay Seshadri, Gianluca Iaccarino and Tiziano Ghisu
PoliTO Springer Series, Uncertainty Modeling for Engineering Applications 1 (2019)
DOI: 10.1007/978-3-030-04870-9_1
See this article

Sequential Sampling for Optimal Weighted Least Squares Approximations in Hierarchical Spaces

Benjamin Arras, Markus Bachmayr and Albert Cohen
SIAM Journal on Mathematics of Data Science 1 (1) 189 (2019)
DOI: 10.1137/18M1189749
See this article

Optimal Sampling and Christoffel Functions on General Domains

Matthieu Dolbeault and Albert Cohen
Constructive Approximation (2021)
DOI: 10.1007/s00365-021-09558-x
See this article

Optimization of Concrete Mixture Design Using Adaptive Surrogate Model

Xiaoqian Cen, Qingyuan Wang, Xiaoshuang Shi, Yan Su and Jingsi Qiu
Sustainability 11 (7) 1991 (2019)
DOI: 10.3390/su11071991
See this article

Some greedy algorithms for sparse polynomial chaos expansions

Ricardo Baptista, Valentin Stolbunov and Prasanth B. Nair
Journal of Computational Physics 387 303 (2019)
DOI: 10.1016/j.jcp.2019.01.035
See this article

Correcting for unknown errors in sparse high-dimensional function approximation

Ben Adcock, Anyi Bao and Simone Brugiapaglia
Numerische Mathematik 142 (3) 667 (2019)
DOI: 10.1007/s00211-019-01051-9
See this article

Robust adaptive least squares polynomial chaos expansions in high‐frequency applications

Dimitrios Loukrezis, Armin Galetzka and Herbert De Gersem
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 33 (6) e2725 (2020)
DOI: 10.1002/jnm.2725
See this article

Multilevel weighted least squares polynomial approximation

Abdul-Lateef Haji-Ali, Fabio Nobile, Raúl Tempone and Sören Wolfers
ESAIM: Mathematical Modelling and Numerical Analysis 54 (2) 649 (2020)
DOI: 10.1051/m2an/2019045
See this article

Uncertainty Quantification Using Periodic Random Variables

V. Kaarnioja, F. Y. Kuo and I. H. Sloan
SIAM Journal on Numerical Analysis 58 (2) 1068 (2020)
DOI: 10.1137/19M1262796
See this article

A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows

Michael Schneier, Traian Iliescu and Max Gunzburger
IMA Journal of Numerical Analysis 40 (2) 886 (2020)
DOI: 10.1093/imanum/dry094
See this article

Constructing Least-Squares Polynomial Approximations

Ling Guo, Akil Narayan and Tao Zhou
SIAM Review 62 (2) 483 (2020)
DOI: 10.1137/18M1234151
See this article

An Improved Discrete Least-Squares/Reduced-Basis Method for Parameterized Elliptic PDEs

Max Gunzburger, Michael Schneier, Clayton Webster and Guannan Zhang
Journal of Scientific Computing 81 (1) 76 (2019)
DOI: 10.1007/s10915-018-0661-6
See this article

APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS

BEN ADCOCK and DAAN HUYBRECHS
Forum of Mathematics, Sigma 8 (2020)
DOI: 10.1017/fms.2020.23
See this article

Compressive Hermite Interpolation: Sparse, High-Dimensional Approximation from Gradient-Augmented Measurements

Ben Adcock and Yi Sui
Constructive Approximation 50 (1) 167 (2019)
DOI: 10.1007/s00365-019-09467-0
See this article

Active Subspaces of Airfoil Shape Parameterizations

Zachary J. Grey and Paul G. Constantine
AIAA Journal 56 (5) 2003 (2018)
DOI: 10.2514/1.J056054
See this article

Risk of estimators for Sobol’ sensitivity indices based on metamodels

Ivan Panin
Electronic Journal of Statistics 15 (1) (2021)
DOI: 10.1214/20-EJS1793
See this article

Convergence estimates in probability and in expectation for discrete least squares with noisy evaluations at random points

Giovanni Migliorati, Fabio Nobile and Raúl Tempone
Journal of Multivariate Analysis 142 167 (2015)
DOI: 10.1016/j.jmva.2015.08.009
See this article

A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions

Ling Guo, Akil Narayan and Tao Zhou
Journal of Computational Physics 367 49 (2018)
DOI: 10.1016/j.jcp.2018.04.026
See this article

Multivariate approximation of functions on irregular domains by weighted least-squares methods

Giovanni Migliorati
IMA Journal of Numerical Analysis 41 (2) 1293 (2021)
DOI: 10.1093/imanum/draa023
See this article

Stable high-order randomized cubature formulae in arbitrary dimension

Giovanni Migliorati and Fabio Nobile
Journal of Approximation Theory 275 105706 (2022)
DOI: 10.1016/j.jat.2022.105706
See this article

Convergence bounds for empirical nonlinear least-squares

Martin Eigel, Reinhold Schneider and Philipp Trunschke
ESAIM: Mathematical Modelling and Numerical Analysis 56 (1) 79 (2022)
DOI: 10.1051/m2an/2021070
See this article

A stochastic Galerkin method with adaptive time-stepping for the Navier–Stokes equations

Bedřich Sousedík and Randy Price
Journal of Computational Physics 468 111456 (2022)
DOI: 10.1016/j.jcp.2022.111456
See this article

Ben Adcock, Juan M. Cardenas, Nick Dexter and Sebastian Moraga
191 9 (2022)
DOI: 10.1007/978-3-031-00832-0_2
See this article