-
1
-
-
0027842081
-
Matching pursuits with time-frequency dictionaries
-
Dec
-
S. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries," IEEE Trans. Signal Process., vol. 41, no. 12, pp. 3397-3415, Dec. 1993.
-
(1993)
IEEE Trans. Signal Process
, vol.41
, Issue.12
, pp. 3397-3415
-
-
Mallat, S.1
Zhang, Z.2
-
2
-
-
0032712352
-
An affine scaling methodology for best basis selection
-
Jan
-
B. D. Rao and K. Kreutz-Delgado, "An affine scaling methodology for best basis selection," IEEE Trans. Signal Process., vol. 47, no. 1, pp. 187-200, Jan. 1999.
-
(1999)
IEEE Trans. Signal Process
, vol.47
, Issue.1
, pp. 187-200
-
-
Rao, B.D.1
Kreutz-Delgado, K.2
-
3
-
-
0035273106
-
Atomic decomposition by basis pursuit
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev., vol. 43, no. 1, pp. 129-159, 2001.
-
(2001)
SIAM Rev
, vol.43
, Issue.1
, pp. 129-159
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
5
-
-
21144435474
-
Nonlinear methods of approximation
-
Aug
-
V. Temlyakov, "Nonlinear methods of approximation," Foundations of Comput. Math., vol. 3, no. 1, pp. 33-107, Aug. 2002.
-
(2002)
Foundations of Comput. Math
, vol.3
, Issue.1
, pp. 33-107
-
-
Temlyakov, V.1
-
7
-
-
29144439194
-
Decoding by linear programming
-
Dec
-
E. J. 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.J.1
Tao, T.2
-
8
-
-
33746801607
-
Geometric approach to error correcting codes and reconstruction of signals
-
M. Rudelson and R. Veshynin, "Geometric approach to error correcting codes and reconstruction of signals," Int. Math. Res. Not., vol. 64, pp. 4019-4041, 2005.
-
(2005)
Int. Math. Res. Not
, vol.64
, pp. 4019-4041
-
-
Rudelson, M.1
Veshynin, R.2
-
9
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete Fourier information
-
Feb
-
E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete Fourier 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.1
Romberg, J.2
Tao, T.3
-
10
-
-
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
-
11
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
Dec
-
E. J. Candès and T. Tao, "Near-optimal signal recovery from random projections: Universal encoding strategies?," IEEE Trans. Inf. Theory, vol. 52, no. 12, pp. 5406-5425, Dec. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candès, E.J.1
Tao, T.2
-
12
-
-
3242708140
-
Least angle regression
-
B. Efron, T. Hastie, I. Johnstone, and R. Tibshirani, "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.3
Tibshirani, R.4
-
13
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
I. Daubechies, M. Defrise, and C. D. Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. 57, pp. 1413-1457, 2004.
-
(2004)
Commun. Pure Appl. Math
, vol.57
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
Mol, C.D.3
-
14
-
-
33646796359
-
Homotopy continuation for sparse signal representation
-
Philadelphia, PA
-
D. Malioutov, M. Çetin, and A. Willsky, "Homotopy continuation for sparse signal representation," in Proc. IEEE Intl. Conf. Acoustics, Speech, and Signal Processing, Philadelphia, PA, 2005, vol. 5, pp. 733-736.
-
(2005)
Proc. IEEE Intl. Conf. Acoustics, Speech, and Signal Processing
, vol.5
, pp. 733-736
-
-
Malioutov, D.1
Çetin, M.2
Willsky, A.3
-
15
-
-
38149044499
-
1-regularized least-squares problems with applications in signal processing and statistics
-
submitted for publication
-
1-regularized least-squares problems with applications in signal processing and statistics," 2007, submitted for publication.
-
(2007)
-
-
Kim, S.-J.1
Koh, K.2
Lustig, M.3
Boyd, S.4
Gorinevsky, D.5
-
16
-
-
39049141356
-
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
-
submitted for publication
-
M. A. T. Figueiredo, R. D. Nowak, and S. J. Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems," 2007, submitted for publication.
-
(2007)
-
-
Figueiredo, M.A.T.1
Nowak, R.D.2
Wright, S.J.3
-
17
-
-
0027814133
-
Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition
-
Pacific Grove, CA, Nov
-
Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad, "Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition," in Proc. 27th Annu. Asilomar Conf. Signals, Systems, and Computers, Pacific Grove, CA, Nov. 1993, vol. 1, pp. 40-44.
-
(1993)
Proc. 27th Annu. Asilomar Conf. Signals, Systems, and Computers
, vol.1
, pp. 40-44
-
-
Pati, Y.C.1
Rezaiifar, R.2
Krishnaprasad, P.S.3
-
18
-
-
0031541839
-
Greedy adaptive approximation
-
G. Davis, S. Mallat, and M. Avellaneda, "Greedy adaptive approximation," Constr. Approx., vol. 13, pp. 57-98, 1997.
-
(1997)
Constr. Approx
, vol.13
, pp. 57-98
-
-
Davis, G.1
Mallat, S.2
Avellaneda, M.3
-
19
-
-
0039439070
-
Some remarks on greedy algorithms
-
R. DeVore and V. N. Temlyakov, "Some remarks on greedy algorithms," Adv. Comput. Math., vol. 5, pp. 173-187, 1996.
-
(1996)
Adv. Comput. Math
, vol.5
, pp. 173-187
-
-
DeVore, R.1
Temlyakov, V.N.2
-
20
-
-
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
-
21
-
-
33646365077
-
1-norm solution is also the sparsest solution
-
1-norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
23
-
-
57149139112
-
Random sampling of sparse trigonometric polynomials II: Orthogonal matching pursuit versus basis pursuit
-
to be published
-
S. Kunis and H. Rauhut, "Random sampling of sparse trigonometric polynomials II: Orthogonal matching pursuit versus basis pursuit," Found. Comp. Math., to be published.
-
Found. Comp. Math
-
-
Kunis, S.1
Rauhut, H.2
-
25
-
-
85009724776
-
Nonlinear approximation
-
R. A. DeVore, "Nonlinear approximation," Acta Numer., vol. 7, pp. 51-150, 1998.
-
(1998)
Acta Numer
, vol.7
, pp. 51-150
-
-
DeVore, R.A.1
-
26
-
-
84921819702
-
-
Caltech, Pasadena, CA, ACM Tech. Rep, Online, Available: 2007
-
J. A. Tropp and A. C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit: The Gaussian case," Caltech, Pasadena, CA, 2007, ACM Tech. Rep. 2007-01 [Online]. Available: http://www.acm.caltech.edu/~jtropp/reports/TG07-Signal-Recovery-TR.pdf
-
(2001)
Signal recovery from random measurements via orthogonal matching pursuit: The Gaussian case
-
-
Tropp, J.A.1
Gilbert, A.C.2
-
27
-
-
33947399569
-
Convex geometry and functional analysis
-
W. B. Johnson and J. Lindenstrauss, Eds. Amsterdam, The Netherlands: Elsevier
-
K. Ball, "Convex geometry and functional analysis," in Handbook of Banach Space Geometry, W. B. Johnson and J. Lindenstrauss, Eds. Amsterdam, The Netherlands: Elsevier, 2002, pp. 1611-93.
-
(2002)
Handbook of Banach Space Geometry
, pp. 1611-1693
-
-
Ball, K.1
-
28
-
-
33746365163
-
Concentration of Measure Inequalities
-
Online, Available
-
G. Lugosi, Concentration of Measure Inequalities, 2005, Lecture Notes [Online]. Available: http://www.econ.upf.es/~lugosi/surveys.html
-
(2005)
Lecture Notes
-
-
Lugosi, G.1
-
29
-
-
51949102772
-
A simple proof of the restricted isometry property for random matrices
-
to be published
-
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin, "A simple proof of the restricted isometry property for random matrices," Cnstr. Approx., 2007, to be published.
-
(2007)
Cnstr. Approx
-
-
Baraniuk, R.1
Davenport, M.2
DeVore, R.3
Wakin, M.4
-
30
-
-
0001783943
-
Regularité des trajectoires des fonctions aléatoires gausiennes
-
Ecole D'Eté de Probabilités de Saint-Flour IV. Berlin, Germany: Springer
-
X. Fernique, "Regularité des trajectoires des fonctions aléatoires gausiennes," in Ecole D'Eté de Probabilités de Saint-Flour IV. Berlin, Germany: Springer, 1974, vol. 480, Lecture Notes in Mathematics, pp. 1-96.
-
(1974)
Lecture Notes in Mathematics
, vol.480
, pp. 1-96
-
-
Fernique, X.1
-
31
-
-
84968494236
-
On the probability that a random ±1-matrix is singular
-
Jan
-
J. Kahn, J. Komlós, and E. Szemerédi, "On the probability that a random ±1-matrix is singular," J. Amer. Math. Soc., vol. 86, no. 1, pp. 223-240, Jan. 1995.
-
(1995)
J. Amer. Math. Soc
, vol.86
, Issue.1
, pp. 223-240
-
-
Kahn, J.1
Komlós, J.2
Szemerédi, E.3
-
32
-
-
30844445842
-
Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit
-
Apr
-
J. A. Tropp, A. C. Gilbert, and M. J. Strauss, "Algorithms for simultaneous sparse approximation. Part I: Greedy pursuit," J. Signal Process., vol. 86, pp. 572-588, Apr. 2006.
-
(2006)
J. Signal Process
, vol.86
, pp. 572-588
-
-
Tropp, J.A.1
Gilbert, A.C.2
Strauss, M.J.3
-
34
-
-
34547970687
-
Sparse solution of underdetermined linear equations by stagewise Orthogonal Matching Pursuit (StOMP)
-
submitted for publication
-
D. L. Donoho, Y. Tsaig, I. Drori, and J.-L. Starck, "Sparse solution of underdetermined linear equations by stagewise Orthogonal Matching Pursuit (StOMP)," 2007, submitted for publication.
-
(2007)
-
-
Donoho, D.L.1
Tsaig, Y.2
Drori, I.3
Starck, J.-L.4
-
35
-
-
17444372724
-
SNOPT: An SQP algorithm for large-scale constrained optimization
-
Mar
-
P. E. Gill, W. Murray, and M. A. Saunders, "SNOPT: An SQP algorithm for large-scale constrained optimization," SIAM Rev., vol. 47, no. 1, pp. 99-132, Mar. 2005.
-
(2005)
SIAM Rev
, vol.47
, Issue.1
, pp. 99-132
-
-
Gill, P.E.1
Murray, W.2
Saunders, M.A.3
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