Compressed Sensing Approaches for Polynomial Approximation of High-Dimensional Functions

Type: Book-Chapter

Publication Date: 2017-01-01

Citations: 93

DOI: https://doi.org/10.1007/978-3-319-69802-1_3

Locations

  • Applied and numerical harmonic analysis - View
  • arXiv (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ Compressed sensing approaches for polynomial approximation of high-dimensional functions 2017 Ben Adcock
Simone Brugiapaglia
Clayton Webster
+ Polynomial approximation of high-dimensional functions via compressed sensing 2017 Ben Adcock
Simone Brugiapaglia
Clayton Webster
+ Polynomial approximation via compressed sensing of high-dimensional functions on lower sets 2017 Abdellah Chkifa
Nick Dexter
Hoang Tran
Clayton Webster
+ Sparse Polynomial Approximation of High-Dimensional Functions 2022 Ben Adcock
Simone Brugiapaglia
Clayton Webster
+ On efficient algorithms for computing near-best polynomial approximations to high-dimensional, Hilbert-valued functions from limited samples 2022 Ben Adcock
Simone Brugiapaglia
Nick Dexter
SebastiƔn Moraga
+ Towards Optimal Sampling for Learning Sparse Approximations in High Dimensions 2022 Ben Adcock
Juan M. Cardenas
Nick Dexter
SebastiƔn Moraga
+ Towards optimal sampling for learning sparse approximation in high dimensions 2022 Ben Adcock
Juan M. Cardenas
Nick Dexter
SebastiƔn Moraga
+ Infinite-dimensional compressed sensing and function interpolation 2015 Ben Adcock
+ PDF Chat APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS 2020 Ben Adcock
Daan Huybrechs
+ Sparse Approximation and Optimization in High-Dimensions 2009
+ Sparse Harmonic Transforms: A New Class of Sublinear-time Algorithms for Learning Functions of Many Variables 2018 Bosu Choi
Mark Iwen
Felix Krahmer
+ Chapter 5: Sparse polynomial approximation via least squares 2022
+ Sparse Harmonic Transforms: A New Class of Sublinear-time Algorithms for Learning Functions of Many Variables 2018 Bosu Choi
Mark Iwen
Felix Krahmer
+ A sample based method for sparse low-rank approximation of high dimensional functions 2013 Mathilde Chevreuil
Prashant Rai
Anthony Nouy
LoĆÆc Giraldi
+ Monte Carlo is a good sampling strategy for polynomial approximation in high dimensions 2022 Ben Adcock
Simone Brugiapaglia
+ Compressive Hermite interpolation: sparse, high-dimensional approximation from gradient-augmented measurements 2017 Ben Adcock
Yi Sui
+ Sparsest representation and approximation of a high-dimensional linear system 2017 Patrick Tardivel
+ PDF Chat Compressive Hermite Interpolation: Sparse, High-Dimensional Approximation from Gradient-Augmented Measurements 2019 Ben Adcock
Yi Sui
+ Interpolation via weighted $l_1$ minimization 2013 Holger Rauhut
Rachel Ward
+ Interpolation via weighted $l_1$ minimization 2013 Holger Rauhut
Rachel Ward

Works Cited by This (48)

Action Title Year Authors
+ New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness 2015 Alexey Chernov
Ɛinh DÅ©ng
+ PDF Chat Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence 2015 Thomas KĆ¼hn
Winfried Sickel
Tino Ullrich
+ PDF Chat Discrete Least-Squares Approximations over Optimized Downward Closed Polynomial Spaces in Arbitrary Dimension 2017 Albert Cohen
Giovanni Migliorati
Fabio Nobile
+ A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems 2016 Simone Brugiapaglia
Fabio Nobile
Stefano Micheletti
Simona Perotto
+ PDF Chat On the Stability and Accuracy of Least Squares Approximations 2013 Albert Cohen
Mark A. Davenport
D. Leviatan
+ Analysis of discrete least squares on multivariate polynomial spaces with evaluations at low-discrepancy point sets 2015 Giovanni Migliorati
Fabio Nobile
+ Random sampling of sparse trigonometric polynomials 2006 Holger Rauhut
+ A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data 2008 Fabio Nobile
RaĆŗl Tempone
Clayton Webster
+ Stability and robustness of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msub><mml:mrow><mml:mi>ā„“</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-minimizations with Weibull matrices and redundant dictionaries 2012 Simon Foucart
+ Multivariate Markov-type and Nikolskii-type inequalities for polynomials associated with downward closed multi-index sets 2014 Giovanni Migliorati