-
4
-
-
0002649812
-
Wavelab and reproducible research
-
A. Antoniadis and G. Oppenheim, Eds. New York: Springer-Verlag
-
J. Buckheit and D. L. Donoho, "Wavelab and reproducible research," in Wavelets and Statistics, A. Antoniadis and G. Oppenheim, Eds. New York: Springer-Verlag, 1995, pp. 55-81.
-
(1995)
Wavelets and Statistics
, pp. 55-81
-
-
Buckheit, J.1
Donoho, D.L.2
-
5
-
-
29144439194
-
Decoding by linear programming
-
Dec
-
E. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, Dec. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candès, E.1
Tao, T.2
-
7
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Feb
-
E. J. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candès, E.J.1
Romberg, J.2
Tao, T.3
-
8
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate observations
-
Aug
-
E. J. Candès and T. Tao, "Stable signal recovery from incomplete and inaccurate observations," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, Aug. 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candès, E.J.1
Tao, T.2
-
9
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci Comp., vol. 20, no. 1, pp. 33-61, 1999.
-
(1999)
SIAM J. Sci Comp
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
10
-
-
55349133980
-
-
Online. Available
-
S. C. Choi, D. L. Donoho, A. G. Flesia, X. Huo, O. Levi, and D. Slu, Beamlab Web Site Online. Available: http://www-stat.stanford.edu/ ~beamlab/
-
Beamlab Web Site
-
-
Choi, S.C.1
Donoho, D.L.2
Flesia, A.G.3
Huo, X.4
Levi, O.5
Slu, D.6
-
11
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
Aug
-
Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. 57, no. 11, pp. 1413-1541, Aug. 2004.
-
(2004)
Commun. Pure Appl. Math
, vol.57
, Issue.11
, pp. 1413-1541
-
-
Daubechies, M.D.1
De Mol, C.2
-
12
-
-
0031541839
-
Adaptive greedy approximations
-
G. Davis, S. Mallat, and M. Avellaneda, "Adaptive greedy approximations," J. Constr. Approx., vol. 13, pp. 57-98, 1997.
-
(1997)
J. Constr. Approx
, vol.13
, pp. 57-98
-
-
Davis, G.1
Mallat, S.2
Avellaneda, M.3
-
13
-
-
30844437386
-
Neighborly Polytopes and Sparse Solution of Underdetermined Linear Equations Dept. Statist., Stanford Uni., Stanford, CA
-
Tech. Rep
-
D. L. Donoho, Neighborly Polytopes and Sparse Solution of Underdetermined Linear Equations Dept. Statist., Stanford Uni., Stanford, CA, 2005, Tech. Rep..
-
(2005)
-
-
Donoho, D.L.1
-
14
-
-
33645712892
-
Compressed sensing
-
Apr
-
D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
15
-
-
33744552752
-
1 solution is also the sparsest solution
-
Jul
-
1 solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 7, pp. 907-934, Jul. 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.L.1
-
16
-
-
33646365077
-
1-norm near-solution approximates the sparsest near-solution
-
Jun
-
1-norm near-solution approximates the sparsest near-solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, Jun. 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
17
-
-
33646479497
-
High-dimensional centrosymmetric polytopes with neighborliness proportional to dimension
-
May
-
D. L. Donoho, "High-dimensional centrosymmetric polytopes with neighborliness proportional to dimension," Discr. Comput. Geom., vol. 35, no. 4, pp. 617-652, May 2006.
-
(2006)
Discr. Comput. Geom
, vol.35
, Issue.4
, pp. 617-652
-
-
Donoho, D.L.1
-
18
-
-
0037418225
-
1 norm minimization
-
Mar
-
1 norm minimization," Proc. Nat. Acad. Sci. USA, vol. 100, no. 5, pp. 2197-2002, Mar. 2003.
-
(2003)
Proc. Nat. Acad. Sci. USA
, vol.100
, Issue.5
, pp. 2197-2002
-
-
Donoho, D.L.1
Elad, M.2
-
19
-
-
33144483155
-
Stable recovery of sparse overcomplete representations in the presence of noise
-
Jan
-
D. L. Donoho, M. Elad, and V. N. Temlyakov, "Stable recovery of sparse overcomplete representations in the presence of noise," IEEE Trans. Inf. Theory, vol. 52, no. 1, pp. 6-18, Jan. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.1
, pp. 6-18
-
-
Donoho, D.L.1
Elad, M.2
Temlyakov, V.N.3
-
20
-
-
0035504028
-
Uncertainty principles and ideal atontic decomposition
-
Nov
-
D. L. Donoho and X. Huo, "Uncertainty principles and ideal atontic decomposition," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2845-2862, Nov. 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.L.1
Huo, X.2
-
21
-
-
0026845575
-
Signal recovery and the large sieve
-
D. L. Donoho and B. F. Logan, "Signal recovery and the large sieve," SIAM J. Appl. Math., vol. 52, no. 2, pp. 577-591, 1992.
-
(1992)
SIAM J. Appl. Math
, vol.52
, Issue.2
, pp. 577-591
-
-
Donoho, D.L.1
Logan, B.F.2
-
22
-
-
55349107071
-
Counting faces of randomly-projected polytopes when the projection radically lowers dimension
-
posted online July 10, to be published
-
D. L. Donoho and J. Tanner, "Counting faces of randomly-projected polytopes when the projection radically lowers dimension," J. Amer. Math. Soc., posted online July 10, 2008, to be published.
-
(2008)
J. Amer. Math. Soc
-
-
Donoho, D.L.1
Tanner, J.2
-
23
-
-
55349104303
-
-
D. L. Donoho, Y. Tsaig, 1. Drori, and J.-L. Starck, Sparse Solution of Underdetermined Linear Equations by Stagewise Orthogonal Matching Pursuit, 2006, submitted for publication.
-
D. L. Donoho, Y. Tsaig, 1. Drori, and J.-L. Starck, "Sparse Solution of Underdetermined Linear Equations by Stagewise Orthogonal Matching Pursuit," 2006, submitted for publication.
-
-
-
-
24
-
-
33947646302
-
1 minimization problems by LARS/homotopy methods
-
Toulose, France, May
-
1 minimization problems by LARS/homotopy methods," in Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing, Toulose, France, May 2006.
-
(2006)
Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing
-
-
Drori, I.1
Donoho, D.L.2
-
25
-
-
55349122369
-
-
B. Efron and T. Hastie, LARS Softare Web Site Online. Available: http:// www-stat.stanford.edu/~hastie/Papers/LARS/
-
B. Efron and T. Hastie, LARS Softare Web Site Online. Available: http:// www-stat.stanford.edu/~hastie/Papers/LARS/
-
-
-
-
26
-
-
3242708140
-
Least angle regression
-
B. Efron, T. Hastie, I. M. Johnstone, and R. Tibshwani, "Least angle regression," Ann. Statist., vol. 32, no. 2, pp. 407-499, 2004.
-
(2004)
Ann. Statist
, vol.32
, Issue.2
, pp. 407-499
-
-
Efron, B.1
Hastie, T.2
Johnstone, I.M.3
Tibshwani, R.4
-
27
-
-
55349123812
-
Coordinate and subspace optimization methods for linear least squares with nonquadratic regularization
-
to be published
-
M. Elad, B. Matalon, and M. Zibulevsky, "Coordinate and subspace optimization methods for linear least squares with nonquadratic regularization," Appl. Comp. Harm. Anal., to be published.
-
Appl. Comp. Harm. Anal
-
-
Elad, M.1
Matalon, B.2
Zibulevsky, M.3
-
28
-
-
0036714214
-
A generalized uncertainty principle and sparse representations in pairs of bases
-
Sep
-
M. Elad and A. M. Bruckstein, "A generalized uncertainty principle and sparse representations in pairs of bases," IEEE Trans. Inf. Theory vol. 48, no. 9, pp. 2558-2567, Sep. 2002.
-
(2002)
IEEE Trans. Inf. Theory
, vol.48
, Issue.9
, pp. 2558-2567
-
-
Elad, M.1
Bruckstein, A.M.2
-
29
-
-
2942640138
-
On sparse representations in arbitrary redundant bases
-
Jun
-
J. J. Fuchs, "On sparse representations in arbitrary redundant bases," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1341-1344, Jun. 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.6
, pp. 1341-1344
-
-
Fuchs, J.J.1
-
30
-
-
3543141538
-
On widths of the Euclidean ball
-
A. Y. Garnaev and E. D. Gluskin, "On widths of the Euclidean ball," in Sov. Math. - Dok.. :, 1984, vol. 30, pp. 200-203.
-
(1984)
Sov. Math. - Dok
, vol.30
, pp. 200-203
-
-
Garnaev, A.Y.1
Gluskin, E.D.2
-
31
-
-
0036041770
-
Near-optimal sparse fourier representations via sampling
-
A. C. Gilbert, S. Guha, P. Indyk, S. Muthukrishnan, and M. Strauss, "Near-optimal sparse fourier representations via sampling," in Proc. 34th ACM Symp. Theory of Computing, 2002, pp. 152-161.
-
(2002)
Proc. 34th ACM Symp. Theory of Computing
, pp. 152-161
-
-
Gilbert, A.C.1
Guha, S.2
Indyk, P.3
Muthukrishnan, S.4
Strauss, M.5
-
33
-
-
0347968052
-
Sparse representations in unions of bases
-
Dec
-
R. Gribonval and M. Nielsen, "Sparse representations in unions of bases," IEEE Trans. Inf. Theory, vol. 49, no. 12, pp. 1320-1325, Dec. 2003.
-
(2003)
IEEE Trans. Inf. Theory
, vol.49
, Issue.12
, pp. 1320-1325
-
-
Gribonval, R.1
Nielsen, M.2
-
37
-
-
0001387808
-
Diameters of certain finite-dimensional sets in classes of smooth functions
-
B. S. Kashin, "Diameters of certain finite-dimensional sets in classes of smooth functions," Izv. Akad. Nauk SSSR, Ser. Mat., vol. 41, no. 2, pp. 334-351, 1977.
-
(1977)
Izv. Akad. Nauk SSSR, Ser. Mat
, vol.41
, Issue.2
, pp. 334-351
-
-
Kashin, B.S.1
-
38
-
-
55349097656
-
1 reconstruction
-
Kyoto, Japan, May
-
1 reconstruction," in Proc. 13th Int. Soc. Magnetic Resources in Medicine, Kyoto, Japan, May 2004.
-
(2004)
Proc. 13th Int. Soc. Magnetic Resources in Medicine
-
-
Lustig, M.1
Lee, J.H.2
Donoho, D.L.3
Pauly, J.M.4
-
39
-
-
55349104930
-
Rapid MR angiography with randomlyunder-sampled 3DFT trajectories and nonlinear reconstruction
-
Miami, FL
-
M. Lustig, J. M. Santos, D. L. Donoho, and J. M. Pauly, "Rapid MR angiography with randomlyunder-sampled 3DFT trajectories and nonlinear reconstruction," in Proc. 9th Annu. Meeting, Socielyfor Cardiovascular Magnetic Resonance, Miami, FL, 2006.
-
(2006)
Proc. 9th Annu. Meeting, Socielyfor Cardiovascular Magnetic Resonance
-
-
Lustig, M.1
Santos, J.M.2
Donoho, D.L.3
Pauly, J.M.4
-
40
-
-
33646796359
-
-
D. M. Malioutov, M. __ceCetin, and A. S. Willsky, Homotopy continuation for sparse signal representation, in Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing, Philadelphia, PA, Mar. 2005, 5, pp. 733-736.
-
D. M. Malioutov, M. __ceCetin, and A. S. Willsky, "Homotopy continuation for sparse signal representation," in Proc. IEEE Int. Conf. Acoustics, Speech and Signal Processing, Philadelphia, PA, Mar. 2005, vol. 5, pp. 733-736.
-
-
-
-
41
-
-
0034215549
-
A new approach to variable selection in least squares problems
-
M. R. Osborne, B. Presnell, and B. A. Turlach, "A new approach to variable selection in least squares problems," IMA J. Numer. Anal. vol. 20, pp. 389-403, 2000.
-
(2000)
IMA J. Numer. Anal
, vol.20
, pp. 389-403
-
-
Osborne, M.R.1
Presnell, B.2
Turlach, B.A.3
-
42
-
-
23044520947
-
On the LASSO and its dual
-
M. R. Osborne, B. Presnell, and B. A. Turlach, "On the LASSO and its dual," J. Comput. Graph. Stat., vol. 9, pp. 319-337, 2000.
-
(2000)
J. Comput. Graph. Stat
, vol.9
, pp. 319-337
-
-
Osborne, M.R.1
Presnell, B.2
Turlach, B.A.3
-
44
-
-
33745683288
-
Recovery of sparse representations by polytope faces pursuit
-
Charleston, SC, Mar
-
M. D. Plumbley, "Recovery of sparse representations by polytope faces pursuit," in Proc. 6th Int. Conf. Independent Component Analysis and Blind Source Separation (ICA 2006), Charleston, SC, Mar. 2006, pp. 206-213.
-
(2006)
Proc. 6th Int. Conf. Independent Component Analysis and Blind Source Separation (ICA 2006)
, pp. 206-213
-
-
Plumbley, M.D.1
-
45
-
-
30844462191
-
-
Dept. Math, Univ. California, Davis, Tech. Rep
-
M. Rudelson and R. Vershynin, Geometric Approach to Error-Correcting Codes and Reconstruction of Signals, Dept. Math., Univ. California, Davis, 2005, Tech. Rep.
-
(2005)
Geometric Approach to Error-Correcting Codes and Reconstruction of Signals
-
-
Rudelson, M.1
Vershynin, R.2
-
47
-
-
27744574209
-
Image decomposition via the combination of sparse representation and a variational approach
-
Oct
-
J.-L. Starck, M. Elad, and D. L. Donoho, "Image decomposition via the combination of sparse representation and a variational approach," IEEE Trans. Image Process., vol. 14, no. 10, pp. 1570-1582, Oct. 2005.
-
(2005)
IEEE Trans. Image Process
, vol.14
, Issue.10
, pp. 1570-1582
-
-
Starck, J.-L.1
Elad, M.2
Donoho, D.L.3
-
48
-
-
3142656055
-
Redundant multiscale transforms and their application for morphological component analysis
-
J.-L. Starck, M. Elad, and D. L. Donoho, "Redundant multiscale transforms and their application for morphological component analysis," Adv. Imag. Electron Phys., vol. 132, pp. 287-348, 2004.
-
(2004)
Adv. Imag. Electron Phys
, vol.132
, pp. 287-348
-
-
Starck, J.-L.1
Elad, M.2
Donoho, D.L.3
-
49
-
-
0242323185
-
Grassmannian frames with applications to coding and communcations
-
T. Strohmer and R. Heath, Jr, "Grassmannian frames with applications to coding and communcations," Appl. Comp. Harm. Anal., vol. 14, no. 3, pp.257-275, 2003.
-
(2003)
Appl. Comp. Harm. Anal
, vol.14
, Issue.3
, pp. 257-275
-
-
Strohmer, T.1
Heath Jr, R.2
-
50
-
-
0001287271
-
Regression shrinkage and selection via the lasso
-
R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Statist. Soc., vol. 58, no. 1, pp. 267-288, 1996.
-
(1996)
J. Roy. Statist. Soc
, vol.58
, Issue.1
, pp. 267-288
-
-
Tibshirani, R.1
-
51
-
-
5444237123
-
Greed is good: Algorithmic results for sparse approximation
-
Oct
-
J. A. Tropp, "Greed is good: Algorithmic results for sparse approximation," IEEE Trans. Inf. Theory, vol. 50, no. 10, pp. 2231-2242, Oct. 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.10
, pp. 2231-2242
-
-
Tropp, J.A.1
-
52
-
-
33645712308
-
Just relax: Convex programming methods for subset selection and sparse approximation
-
Mar
-
J. A. Tropp, "Just relax: Convex programming methods for subset selection and sparse approximation," IEEE Trans. Inf. Theory, vol. 51, no. 3, pp. 1030-1051, Mar. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.51
, Issue.3
, pp. 1030-1051
-
-
Tropp, J.A.1
-
54
-
-
30844458202
-
1-norm solution and the sparsest solution
-
Mar
-
1-norm solution and the sparsest solution," Signal Process., vol. 86, no. 3, pp. 533-548, Mar. 2006.
-
(2006)
Signal Process
, vol.86
, Issue.3
, pp. 533-548
-
-
Tsaig, Y.1
Donoho, D.L.2
-
55
-
-
30844433547
-
Extensions of compressed sensing
-
Mar
-
Y. Tsaig and D. L. Donoho, "Extensions of compressed sensing," Signal Process., vol. 86, no. 3, pp. 549-571, Mar. 2006.
-
(2006)
Signal Process
, vol.86
, Issue.3
, pp. 549-571
-
-
Tsaig, Y.1
Donoho, D.L.2
|