-
1
-
-
0007642615
-
A relaxation method of finding a common point of convex sets and its application to the solution of problems in convex programming
-
MR0215617 (35:6457)
-
L. M. Brégman, A relaxation method of finding a common point of convex sets and its application to the solution of problems in convex programming, Z.̌ Vyčisl. Mat. i Mat. Fiz. 7 (1967), 620-631. MR0215617 (35:6457)
-
(1967)
Z.̌ Vyčisl. Mat. i Mat. Fiz.
, vol.7
, pp. 620-631
-
-
Brégman, L.M.1
-
3
-
-
55549123884
-
Restoration of chopped and nodded images by framelets
-
J.-F. Cai, R. H. Chan, L. Shen, and Z. Shen, Restoration of chopped and nodded images by framelets, SIAM J. Sci. Comput. 30 (2008), no. 3, 1205-1227.
-
(2008)
SIAM J. Sci. Comput.
, vol.30
, Issue.3
, pp. 1205-1227
-
-
Cai, J.-F.1
Chan, R.H.2
Shen, L.3
Shen, Z.4
-
4
-
-
67749129570
-
-
preprint
-
J.-F. Cai, R. H. Chan, L. Shen, and Z. Shen, Simultaneously inpainting in image and transformed domains, 2008, preprint.
-
(2008)
Simultaneously inpainting in image and transformed domains
-
-
Cai, J.-F.1
Chan, R.H.2
Shen, L.3
Shen, Z.4
-
5
-
-
38949172340
-
A framelet-based image inpainting algorithm
-
MR2393979
-
J.-F. Cai, R. H. Chan, and Z. Shen, A framelet-based image inpainting algorithm, Appl. Comput. Harmon. Anal. 24 (2008), no. 2, 131-149. MR2393979
-
(2008)
Appl. Comput. Harmon. Anal.
, vol.24
, Issue.2
, pp. 131-149
-
-
Cai, J.-F.1
Chan, R.H.2
Shen, Z.3
-
8
-
-
34249687049
-
Sparsity and incoherence in compressive sampling
-
MR2329927
-
E. Candés and J. Romberg, Sparsity and incoherence in compressive sampling, Inverse Problems 23 (2007), no. 3, 969-985. MR2329927
-
(2007)
Inverse Problems
, vol.23
, Issue.3
, pp. 969-985
-
-
Candés, E.1
Romberg, J.2
-
9
-
-
84878104490
-
Compressive sampling
-
MR2275736
-
E. J. Candés, Compressive sampling, International Congress of Mathematicians. Vol. III, Eur. Math. Soc., Z̈urich, 2006, pp. 1433-1452. MR2275736
-
(2006)
International Congress of Mathematicians. Vol. III, Eur. Math. Soc., Z̈urich
, pp. 1433-1452
-
-
Candés, E.J.1
-
10
-
-
33744726904
-
-
MR2228740 (2007a:94035)
-
E. J. Candés and J. Romberg, Quantitative robust uncertainty principles and optimally sparse decompositions, Found. Comput. Math. 6 (2006), no. 2, 227-254. MR2228740 (2007a:94035)
-
(2006)
Found. Comput. Math.
, vol.6
, Issue.2
, pp. 227-254
-
-
Candés, E.J.1
Romberg, J.2
-
11
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
MR2236170 (2007e:94020)
-
E. J. Candés, J. Romberg, and T. Tao, Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information, IEEE Trans. Inform. Theory 52 (2006), no. 2, 489-509. MR2236170 (2007e:94020)
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candés, E.J.1
Romberg, J.2
Tao, T.3
-
12
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
MR2300700
-
E. J. Candes and T. Tao, Near-optimal signal recovery from random projections: Universal encoding strategies?, IEEE Trans. Inform. Theory 52 (2006), no. 12, 5406-5425. MR2300700
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candes, E.J.1
Tao, T.2
-
13
-
-
34249880413
-
Deconvolution: A wavelet frame approach
-
MR2317925
-
A. Chai and Z. Shen, Deconvolution: A wavelet frame approach, Numer. Math. 106 (2007), no. 4, 529-587. MR2317925
-
(2007)
Numer. Math.
, vol.106
, Issue.4
, pp. 529-587
-
-
Chai, A.1
Shen, Z.2
-
14
-
-
34548677063
-
Proximal thresholding algorithm for minimization over orthonormal bases
-
(electronic). MR2373305
-
P. L. Combettes and J.-C. Pesquet, Proximal thresholding algorithm for minimization over orthonormal bases, SIAM J. Opt. 18 (2007), no. 4, 1351-1376 (electronic). MR2373305
-
(2007)
SIAM J. Opt.
, vol.18
, Issue.4
, pp. 1351-1376
-
-
Combettes, P.L.1
Pesquet, J.-C.2
-
15
-
-
30844438177
-
Signal recovery by proximal forward-backward splitting
-
(electronic). MR2203849
-
P. L. Combettes and V. R. Wajs, Signal recovery by proximal forward-backward splitting, Multiscale Model. Simul. 4 (2005), no. 4, 1168-1200 (electronic). MR2203849
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.4
, pp. 1168-1200
-
-
Combettes, P.L.1
Wajs, V.R.2
-
17
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
MR2077704 (2005k:65106)
-
I. Daubechies, M. Defrise, and C. De Mol, An iterative thresholding algorithm for linear inverse problems with a sparsity constraint, Comm. Pure Appl. Math. 57 (2004), no. 11, 1413-1457. MR2077704 (2005k:65106)
-
(2004)
Comm. Pure Appl. Math.
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
18
-
-
78649765600
-
Iteratively solving linear inverse problems under general convex constraints
-
MR2262744
-
I. Daubechies, G. Teschke, and L. Vese, Iteratively solving linear inverse problems under general convex constraints, Inverse Probl. Imaging 1 (2007), no. 1, 29-46. MR2262744
-
(2007)
Inverse Probl. Imaging
, vol.1
, Issue.1
, pp. 29-46
-
-
Daubechies, I.1
Teschke, G.2
Vese, L.3
-
19
-
-
36248929865
-
Deterministic constructions of compressed sensing matrices
-
MR2371999
-
R. A. DeVore, Deterministic constructions of compressed sensing matrices, J. Complexity 23 (2007), 918-925. MR2371999
-
(2007)
J. Complexity
, vol.23
, pp. 918-925
-
-
DeVore, R.A.1
-
20
-
-
0029307534
-
De-noising by soft-thresholding
-
MR1331258 (96b:94002)
-
D. L. Donoho, De-noising by soft-thresholding, IEEE Trans. Inform. Theory 41 (1995), no. 3, 613-627. MR1331258 (96b:94002)
-
(1995)
IEEE Trans. Inform. Theory
, vol.41
, Issue.3
, pp. 613-627
-
-
Donoho, D.L.1
-
21
-
-
33645712892
-
Compressed sensing
-
MR2241189 (2007e:94013)
-
D. L. Donoho, Compressed sensing, IEEE Trans. Inform. Theory 52 (2006), no. 4, 1289-1306. MR2241189 (2007e:94013)
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
22
-
-
22144471532
-
Neighborliness of randomly projected simplices in high dimensions
-
(electronic). MR2168716
-
D. L. Donoho and J. Tanner, Neighborliness of randomly projected simplices in high dimensions, Proc. Natl. Acad. Sci. USA 102 (2005), no. 27, 9452-9457 (electronic). MR2168716
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, Issue.27
, pp. 9452-9457
-
-
Donoho, D.L.1
Tanner, J.2
-
23
-
-
0036714214
-
A generalized uncertainty principle and sparse representation in pairs of bases
-
MR1929464 (2003h:15002)
-
M. Elad and A. M. Bruckstein, A generalized uncertainty principle and sparse representation in pairs of bases, IEEE Trans. Inform. Theory 48 (2002), no. 9, 2558-2567. MR1929464 (2003h:15002)
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, Issue.9
, pp. 2558-2567
-
-
Elad, M.1
Bruckstein, A.M.2
-
24
-
-
0038718564
-
On sparse representation in pairs of bases
-
MR1984950 (2004d:42051)
-
A. Feuer and A. Nemirovski, On sparse representation in pairs of bases, IEEE Trans. Inform. Theory 49 (2003), no. 6, 1579-1581. MR1984950 (2004d:42051)
-
(2003)
IEEE Trans. Inform. Theory
, vol.49
, Issue.6
, pp. 1579-1581
-
-
Feuer, A.1
Nemirovski, A.2
-
25
-
-
0003529551
-
-
Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin Fundamentals. MR1261420 (95m:90001)
-
J.-B. Hiriart-Urruty and C. Lemaréchal, Convex analysis and minimization algorithms. I, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 305, Springer-Verlag, Berlin, 1993, Fundamentals. MR1261420 (95m:90001)
-
(1993)
Convex analysis and minimization algorithms. I
, vol.305
-
-
Hiriart-Urruty, J.-B.1
Lemaréchal, C.2
-
26
-
-
0001033261
-
Robust regression: Asymptotics, conjectures and Monte Carlo
-
MR0356373 (50:8843)
-
P. J. Huber, Robust regression: Asymptotics, conjectures and Monte Carlo, Ann. Statist. 1 (1973), 799-821. MR0356373 (50:8843)
-
(1973)
Ann. Statist.
, vol.1
, pp. 799-821
-
-
Huber, P.J.1
-
27
-
-
19844370110
-
An iterative regularization method for total variation-based image restoration
-
(electronic). MR2162864 (2006c:49051)
-
S. Osher, M. Burger, D. Goldfarb, J. Xu, and W. Yin, An iterative regularization method for total variation-based image restoration, Multiscale Model. Simul. 4 (2005), no. 2, 460-489 (electronic). MR2162864 (2006c:49051)
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.2
, pp. 460-489
-
-
Osher, S.1
Burger, M.2
Goldfarb, D.3
Xu, J.4
Yin, W.5
-
28
-
-
67749089524
-
-
UCLA CAM Reports (08-37)
-
S. Osher, Y. Mao, B. Dong, and W. Yin, Fast linearized Bregman iteration for compressed sensing and sparse denoising, 2008, UCLA CAM Reports (08-37).
-
(2008)
Fast linearized Bregman iteration for compressed sensing and sparse denoising
-
-
Osher, S.1
Mao, Y.2
Dong, B.3
Yin, W.4
-
29
-
-
33746801607
-
Geometric approach to error-correcting codes and reconstruction of signals
-
MR2206919 (2006j:94116)
-
M. Rudelson and R. Vershynin, Geometric approach to error-correcting codes and reconstruction of signals, Int. Math. Res. Not. (2005), no. 64, 4019-4041. MR2206919 (2006j:94116)
-
(2005)
Int. Math. Res. Not.
, vol.64
, pp. 4019-4041
-
-
Rudelson, M.1
Vershynin, R.2
-
30
-
-
33645712308
-
Just relax: Convex programming methods for identifying sparse signals in noise
-
MR2238069 (2007a:94064)
-
J. A. Tropp, Just relax: Convex programming methods for identifying sparse signals in noise, IEEE Trans. Inform. Theory 52 (2006), no. 3, 1030-1051. MR2238069 (2007a:94064)
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, pp. 1030-1051
-
-
Tropp, J.A.1
-
31
-
-
51449098317
-
Extensions of compressed sensing
-
Y. Tsaig and D. L. Donono, Extensions of compressed sensing, Signal Processing 86 (2005), 533-548.
-
(2005)
Signal Processing
, vol.86
, pp. 533-548
-
-
Tsaig, Y.1
Donono, D.L.2
-
32
-
-
84977895355
-
1- minimization with applications to compressed sensing
-
1- minimization with applications to compressed sensing, SIAM J. Imaging Sci. 1 (2008), no. 1, 143-168.
-
(2008)
SIAM J. Imaging Sci.
, vol.1
, Issue.1
, pp. 143-168
-
-
Yin, W.1
Osher, S.2
Goldfarb, D.3
Darbon, J.4
-
35
-
-
16244401458
-
Regularization and variable selection via the elastic net
-
MR2137327
-
H. Zou and T. Hastie, Regularization and variable selection via the elastic net, J. R. Stat. Soc. Ser. B Stat. Methodol. 67 (2005), no. 2, 301-320. MR2137327
-
(2005)
J. R. Stat. Soc. Ser. B Stat. Methodol.
, vol.67
, Issue.2
, pp. 301-320
-
-
Zou, H.1
Hastie, T.2
|