Signal Recovery by Proximal Forward-Backward Splitting
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January 2005 |
Sparse Legendre expansions via <mml:math altimg="si12.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:math>-minimization
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May 2012 |
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
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January 2004 |
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
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November 2012 |
Error Forgetting of Bregman Iteration
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June 2012 |
Polynomial approximation via compressed sensing of high-dimensional functions on lower sets
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September 2017 |
On the Stability and Accuracy of Least Squares Approximations
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March 2013 |
A Generalized Sampling and Preconditioning Scheme for Sparse Approximation of Polynomial Chaos Expansions
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January 2017 |
Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
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January 2008 |
Robustness to Unknown Error in Sparse Regularization
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October 2018 |
A non-adapted sparse approximation of PDEs with stochastic inputs
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April 2011 |
Analysis of quasi-optimal polynomial approximations for parameterized PDEs with deterministic and stochastic coefficients
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March 2017 |
Compressed sensing
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April 2006 |
Sparse Tensor Galerkin Discretization of Parametric and Random Parabolic PDEs---Analytic Regularity and Generalized Polynomial Chaos Approximation
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January 2013 |
Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation
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January 2010 |
Sparse Adaptive Approximation of High Dimensional Parametric Initial Value Problems
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March 2013 |
Regularity and Generalized Polynomial Chaos Approximation of Parametric and Random Second-Order Hyperbolic Partial Differential Equations
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July 2012 |
The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
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January 1967 |
Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos
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September 2002 |
Stochastic finite element methods for partial differential equations with random input data
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May 2014 |
Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs
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December 2012 |
Sparse Tensor Discretization of Elliptic sPDEs
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January 2010 |
N-TERM WIENER CHAOS APPROXIMATION RATES FOR ELLIPTIC PDEs WITH LOGNORMAL GAUSSIAN RANDOM INPUTS
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January 2014 |
Assessment of Collocation and Galerkin Approaches to Linear Diffusion Equations with Random data
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January 2011 |
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
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May 2016 |
Fixed-Point Continuation for $\ell_1$-Minimization: Methodology and Convergence
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January 2008 |
Reduce and Boost: Recovering Arbitrary Sets of Jointly Sparse Vectors
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October 2008 |
Discrete least squares polynomial approximation with random evaluations − application to parametric and stochastic elliptic PDEs
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April 2015 |
On polynomial chaos expansion via gradient-enhanced ℓ1-minimization
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April 2016 |
Atoms of All Channels, Unite! Average Case Analysis of Multi-Channel Sparse Recovery Using Greedy Algorithms
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October 2008 |
A Compressed Sensing Approach for Partial Differential Equations with Random Input Data
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October 2012 |
Compressed Sensing With Cross Validation
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December 2009 |
Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs
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July 2010 |
Compressive sampling of polynomial chaos expansions: Convergence analysis and sampling strategies
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January 2015 |
A dynamically adaptive sparse grids method for quasi-optimal interpolation of multidimensional functions
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June 2016 |
An Iterative Regularization Method for Total Variation-Based Image Restoration
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January 2005 |
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
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April 2007 |
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
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February 2006 |
Fixed-Point Continuation Applied to Compressed Sensing: Implementation and Numerical Experiments
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June 2010 |
Infinite-Dimensional Compressed Sensing and Function Interpolation
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April 2017 |
Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients
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June 2016 |
A weighted -minimization approach for sparse polynomial chaos expansions
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June 2014 |
A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
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January 2008 |
The Homogeneous Chaos
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October 1938 |
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
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January 2002 |
Analytic Regularity and Polynomial Approximation of Parametric and Stochastic Elliptic Pde'S
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January 2011 |
An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
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January 2008 |
Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics
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book
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January 2010 |
Reweighted minimization method for stochastic elliptic differential equations
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journal
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September 2013 |
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
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February 2015 |
Convergence of quasi-optimal Stochastic Galerkin methods for a class of PDES with random coefficients
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March 2014 |
Infinite-Dimensional $$\ell ^1$$ ℓ 1 Minimization and Function Approximation from Pointwise Data
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February 2017 |
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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January 2007 |
STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION
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January 2012 |
A gradient enhanced ℓ1-minimization for sparse approximation of polynomial chaos expansions
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August 2018 |
On the Optimal Polynomial Approximation of Stochastic pdes by Galerkin and Collocation Methods
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July 2012 |
The null space property for sparse recovery from multiple measurement vectors
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May 2011 |
Theoretical and Empirical Results for Recovery From Multiple Measurements
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May 2010 |
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients
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December 2016 |
Nonlinear approximation
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journal
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January 1998 |
Interpolation via weighted ℓ1 minimization
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journal
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March 2016 |
A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
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journal
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January 2010 |
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
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text
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January 2013 |
Sparse adaptive approximation of high dimensional parametric initial value problems
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text
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January 2012 |
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs
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text
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January 2011 |
N-term Wiener chaos approximation rates for elliptic PDEs with lognormal Gaussian random inputs
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text
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January 2013 |
Convergence rates of best N-term Galerkin approximations for a class of elliptic sPDEs
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text
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January 2009 |
Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
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text
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January 2007 |
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
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text
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January 2014 |
Analytic regularity and nonlinear approximation of a class of parametric semilinear elliptic PDEs
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text
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January 2011 |
Reduce and Boost: Recovering Arbitrary Sets of Jointly Sparse Vectors
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text
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January 2008 |
Compressed Sensing with Cross Validation
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preprint
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January 2008 |
Average Case Analysis of Multichannel Sparse Recovery Using Convex Relaxation
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preprint
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January 2009 |
A non-adapted sparse approximation of PDEs with stochastic inputs
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text
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January 2010 |
On the stability and accuracy of least squares approximations
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preprint
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January 2011 |
Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients
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text
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January 2015 |
Infinite-dimensional compressed sensing and function interpolation
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preprint
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January 2015 |
A gradient enhanced $\ell_1$-minimization for sparse approximation of polynomial chaos expansions
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text
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January 2018 |
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
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preprint
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January 2003 |
Robust Uncertainty Principles: Exact Signal Reconstruction from Highly Incomplete Frequency Information
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preprint
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January 2004 |
Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression
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journal
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June 2015 |