Analysis of sparse recovery for Legendre expansions using envelope bound
From MaRDI portal
Publication:6090395
DOI10.1002/num.22877arXiv1810.02926WikidataQ114235138 ScholiaQ114235138MaRDI QIDQ6090395
Clayton G. Webster, Hoang Anh Tran
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.02926
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
- Compressive sampling of polynomial chaos expansions: convergence analysis and sampling strategies
- A mathematical introduction to compressive sensing
- On the stability and accuracy of least squares approximations
- Sparse Legendre expansions via \(\ell_1\)-minimization
- The Dantzig selector and sparsity oracle inequalities
- Sparsity in penalized empirical risk minimization
- Interpolation via weighted \(\ell_{1}\) minimization
- Infinite-dimensional compressed sensing and function interpolation
- On the conditions used to prove oracle results for the Lasso
- Simultaneous analysis of Lasso and Dantzig selector
- Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
- A Remark on Stirling's Formula
- On sparse reconstruction from Fourier and Gaussian measurements
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Probing the Pareto Frontier for Basis Pursuit Solutions
- The Restricted Isometry Property of Subsampled Fourier Matrices
- A theoretical study of COmpRessed SolvING for advection-diffusion-reaction problems
- A Compressed Sensing Approach for Partial Differential Equations with Random Input Data
- Polynomial approximation via compressed sensing of high-dimensional functions on lower sets
- A mixed ℓ1 regularization approach for sparse simultaneous approximation of parameterized PDEs
- An Improved Estimate in the Restricted Isometry Problem
- A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions
- STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION
- Compressed sensing
This page was built for publication: Analysis of sparse recovery for Legendre expansions using envelope bound