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16,447
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
- 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
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Cited by 539 (17 self)
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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
, 2008
"... ..."
inverse problems
, 2007
"... A unified approach to solve ill-posed inverse problems in econometrics ..."
INVERSE PROBLEMS
, 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
, 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
, 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
"... inverse problems ..."
The Convex Geometry of Linear Inverse Problems
, 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
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Cited by 189 (20 self)
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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
, 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
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Cited by 22 (2 self)
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� 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
- 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
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Cited by 99 (1 self)
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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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