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Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems

by Mário A. T. Figueiredo, Robert D. Nowak, Stephen J. Wright - IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING , 2007
"... Many problems in signal processing and statistical inference involve finding sparse solutions to under-determined, or ill-conditioned, linear systems of equations. A standard approach consists in minimizing an objective function which includes a quadratic (squared ℓ2) error term combined with a spa ..."
Abstract - Cited by 539 (17 self) - Add to MetaCart
Many problems in signal processing and statistical inference involve finding sparse solutions to under-determined, or ill-conditioned, linear systems of equations. A standard approach consists in minimizing an objective function which includes a quadratic (squared ℓ2) error term combined with a

An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

by Ingrid Daubechies, Michel Defrise, Christine De Mol , 2008
"... ..."
Abstract - Cited by 747 (9 self) - Add to MetaCart
Abstract not found

inverse problems

by Jan Johannes, Sébastien Van Bellegem, Anne Vanhems, Jan Johannes, Sébastien Van Bellegem, Anne Vanhems , 2007
"... A unified approach to solve ill-posed inverse problems in econometrics ..."
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A unified approach to solve ill-posed inverse problems in econometrics

INVERSE PROBLEMS

by Nachiket H Gokhale, Paul E Barbone, Assad A Oberai , 2008
"... doi:10.1088/0266-5611/24/4/045010 Solution of the nonlinear elasticity imaging inverse problem: the compressible case ..."
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doi:10.1088/0266-5611/24/4/045010 Solution of the nonlinear elasticity imaging inverse problem: the compressible case

INVERSE PROBLEMS

by A Decezaro, X-c Tai , 2009
"... doi:10.1088/0266-5611/25/3/035004 On multiple level-set regularization methods for inverse problems ..."
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doi:10.1088/0266-5611/25/3/035004 On multiple level-set regularization methods for inverse problems

INVERSE PROBLEMS

by Wolfgang Bangerth, Amit Joshi , 2008
"... doi:10.1088/0266-5611/24/3/034011 Adaptive finite element methods for the solution of inverse problems in optical tomography ..."
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doi:10.1088/0266-5611/24/3/034011 Adaptive finite element methods for the solution of inverse problems in optical tomography

Likelihood-informed dimension reduction for nonlinear inverse problems, Inverse Problems

by T Cui, J Martin, Y M Marzouk, A Solonen, A Spantini
"... inverse problems ..."
Abstract - Cited by 5 (2 self) - Add to MetaCart
inverse problems

The Convex Geometry of Linear Inverse Problems

by Venkat Chandrasekaran, Benjamin Recht, Pablo A. Parrilo, Alan S. Willsky , 2010
"... In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimension of the model to be estimated. However in many practical situations of interest, models are constr ..."
Abstract - Cited by 189 (20 self) - Add to MetaCart
In applications throughout science and engineering one is often faced with the challenge of solving an ill-posed inverse problem, where the number of available measurements is smaller than the dimension of the model to be estimated. However in many practical situations of interest, models

The inversion problem

by C S. Thompson, M. Winters Patterns , 1991
"... � When we design solutions, there are similar patterns that emerge to seemingly unrelated problems Design is part recognizing the ‘problem within the problem’ � If we want to communicate at a higher level we need a vocabulary around that � A design pattern is just that – a pattern that has been reus ..."
Abstract - Cited by 22 (2 self) - Add to MetaCart
� When we design solutions, there are similar patterns that emerge to seemingly unrelated problems Design is part recognizing the ‘problem within the problem’ � If we want to communicate at a higher level we need a vocabulary around that � A design pattern is just that – a pattern that has been

Inverse problems - Quest for information

by Albert Tarantola, Bernard Valette - Journal of Geophysics , 1982
"... Note: The 1982 paper has been rewritten, to produce a searchable PDF file. This text is essentially identical to the original. We examine the general non-linear inverse problem with a finite number of parameters. In order to permit the incorporation of any a priori information about parameters and a ..."
Abstract - Cited by 99 (1 self) - Add to MetaCart
Note: The 1982 paper has been rewritten, to produce a searchable PDF file. This text is essentially identical to the original. We examine the general non-linear inverse problem with a finite number of parameters. In order to permit the incorporation of any a priori information about parameters
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