-
1
-
-
41449101407
-
A generalized conditional gradient method for nonlinear operator equations with sparsity constraints
-
Bonesky T., Bredies K., Lorenz D., and Maass P. A generalized conditional gradient method for nonlinear operator equations with sparsity constraints. Inverse Problems 23 5 (2007) 2041-2058
-
(2007)
Inverse Problems
, vol.23
, Issue.5
, pp. 2041-2058
-
-
Bonesky, T.1
Bredies, K.2
Lorenz, D.3
Maass, P.4
-
2
-
-
41449091142
-
Iterated hard shrinkage for minimization problems with sparsity constraints
-
Bredies K., and Lorenz D. Iterated hard shrinkage for minimization problems with sparsity constraints. SIAM J. Sci. Comput. 30 2 (2008) 657-683
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, Issue.2
, pp. 657-683
-
-
Bredies, K.1
Lorenz, D.2
-
3
-
-
57349100926
-
Linear convergence of iterative soft-thresholding
-
Bredies K., and Lorenz D. Linear convergence of iterative soft-thresholding. J. Fourier Anal. Appl. 14 5-6 (2008) 813-837
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, Issue.5-6
, pp. 813-837
-
-
Bredies, K.1
Lorenz, D.2
-
4
-
-
70350634124
-
Regularization with non-convex separable constraints
-
(14 pp.)
-
Bredies K., and Lorenz D. Regularization with non-convex separable constraints. Inverse Problems 25 8 (2009) 085011 (14 pp.)
-
(2009)
Inverse Problems
, vol.25
, Issue.8
, pp. 085011
-
-
Bredies, K.1
Lorenz, D.2
-
5
-
-
59749104367
-
From sparse solutions of systems of equations to sparse modeling of signals and images
-
Bruckstein A.M., Donoho D.L., and Elad M. From sparse solutions of systems of equations to sparse modeling of signals and images. SIAM Rev. 51 1 (2009) 34-81
-
(2009)
SIAM Rev.
, vol.51
, Issue.1
, pp. 34-81
-
-
Bruckstein, A.M.1
Donoho, D.L.2
Elad, M.3
-
6
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Candès E.J., Romberg J., and Tao T. Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theory 52 2 (2006) 489-509
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candès, E.J.1
Romberg, J.2
Tao, T.3
-
7
-
-
0032022704
-
Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage
-
Chambolle A., DeVore R.A., Lee N., and Lucier B.J. Nonlinear wavelet image processing: Variational problems, compression, and noise removal through wavelet shrinkage. IEEE Trans. Image Process. 7 3 (1998) 319-335
-
(1998)
IEEE Trans. Image Process.
, vol.7
, Issue.3
, pp. 319-335
-
-
Chambolle, A.1
DeVore, R.A.2
Lee, N.3
Lucier, B.J.4
-
8
-
-
34548677063
-
Proximal thresholding algorithm for minimization over orthonormal bases
-
Combettes P.L., and Pesquet J.-C. Proximal thresholding algorithm for minimization over orthonormal bases. SIAM J. Optim. 18 4 (2007) 1351-1376
-
(2007)
SIAM J. Optim.
, vol.18
, Issue.4
, pp. 1351-1376
-
-
Combettes, P.L.1
Pesquet, J.-C.2
-
9
-
-
30844438177
-
Signal recovery by proximal forward-backward splitting
-
(electronic)
-
Combettes P.L., and Wajs V.R. Signal recovery by proximal forward-backward splitting. Multiscale Model. Simul. 4 4 (2005) 1168-1200 (electronic)
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.4
, pp. 1168-1200
-
-
Combettes, P.L.1
Wajs, V.R.2
-
10
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
Daubechies I., Defrise M., and De Mol C. An iterative thresholding algorithm for linear inverse problems with a sparsity constraint. Comm. Pure Appl. Math. 57 11 (2004) 1413-1457
-
(2004)
Comm. Pure Appl. Math.
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
12
-
-
39449126969
-
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
-
Figueiredo M., Nowak R., and Wright S. Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems. IEEE J. Sel. Topics Signal Process. 1 4 (2007) 586-598
-
(2007)
IEEE J. Sel. Topics Signal Process.
, vol.1
, Issue.4
, pp. 586-598
-
-
Figueiredo, M.1
Nowak, R.2
Wright, S.3
-
14
-
-
36749084177
-
Domain decomposition methods for linear inverse problems with sparsity constraints
-
Fornasier M. Domain decomposition methods for linear inverse problems with sparsity constraints. Inverse Problems 23 6 (2007) 2505-2526
-
(2007)
Inverse Problems
, vol.23
, Issue.6
, pp. 2505-2526
-
-
Fornasier, M.1
-
17
-
-
73449096816
-
The residual method for regularizing ill-posed problems, Reports of FSP S105
-
14, University of Innsbruck, Austria, May, submitted for publication
-
M. Grasmair, M. Haltmeier, O. Scherzer, The residual method for regularizing ill-posed problems, Reports of FSP S105 - "Photoacoustic Imaging" 14, University of Innsbruck, Austria, May 2009, submitted for publication
-
(2009)
Photoacoustic Imaging
-
-
Grasmair, M.1
Haltmeier, M.2
Scherzer, O.3
-
18
-
-
44449098059
-
A semismooth Newton method for Tikhonov functionals with sparsity constraints
-
(19 pp.)
-
Griesse R., and Lorenz D. A semismooth Newton method for Tikhonov functionals with sparsity constraints. Inverse Problems 24 3 (2008) 035007 (19 pp.)
-
(2008)
Inverse Problems
, vol.24
, Issue.3
, pp. 035007
-
-
Griesse, R.1
Lorenz, D.2
-
20
-
-
51749124719
-
Convergence rates source conditions for Tikhonov regularization with sparsity constraints
-
Lorenz D. Convergence rates source conditions for Tikhonov regularization with sparsity constraints. J. Inverse Ill-Posed Probl. 16 5 (2008) 463-478
-
(2008)
J. Inverse Ill-Posed Probl.
, vol.16
, Issue.5
, pp. 463-478
-
-
Lorenz, D.1
-
21
-
-
0003308407
-
An Introduction to Banach Space Theory
-
Springer, New York
-
Megginson R.E. An Introduction to Banach Space Theory. Grad. Texts in Math. vol. 183 (1998), Springer, New York
-
(1998)
Grad. Texts in Math.
, vol.183
-
-
Megginson, R.E.1
-
22
-
-
80051514453
-
On the optimization of a Tikhonov functional with non-convex sparsity constraints
-
Technical report, Johann Radon Institute for Computational and Applied Mathematics RICAM
-
R. Ramlau, C. Zarzer, On the optimization of a Tikhonov functional with non-convex sparsity constraints, Technical report, Johann Radon Institute for Computational and Applied Mathematics (RICAM), 2009
-
(2009)
-
-
Ramlau, R.1
Zarzer, C.2
-
23
-
-
85067938872
-
Variational Methods in Imaging
-
Springer, New York
-
Scherzer O., Grasmair M., Grossauer H., Haltmeier M., and Lenzen F. Variational Methods in Imaging. Appl. Math. Sci. vol. 167 (2009), Springer, New York
-
(2009)
Appl. Math. Sci.
, vol.167
-
-
Scherzer, O.1
Grasmair, M.2
Grossauer, H.3
Haltmeier, M.4
Lenzen, F.5
-
24
-
-
33645712308
-
Just relax: Convex programming methods for identifying sparse signals in noise
-
Tropp J.A. Just relax: Convex programming methods for identifying sparse signals in noise. IEEE Trans. Inform. Theory 52 3 (2006) 1030-1051
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.3
, pp. 1030-1051
-
-
Tropp, J.A.1
-
25
-
-
0038869361
-
Functional Analysis
-
Academic Press Inc., New York
-
Yosida K. Functional Analysis. Grundlehren Math. Wiss. vol. 123 (1965), Academic Press Inc., New York
-
(1965)
Grundlehren Math. Wiss.
, vol.123
-
-
Yosida, K.1
-
26
-
-
70350328441
-
On Tikhonov regularization with non-convex sparsity constraints
-
Zarzer C.A. On Tikhonov regularization with non-convex sparsity constraints. Inverse Problems 25 (2009) 025006
-
(2009)
Inverse Problems
, vol.25
, pp. 025006
-
-
Zarzer, C.A.1
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