-
3
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
DOI 10.1109/TIT.2005.862083
-
E. Candés, 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. (Pubitemid 43174093)
-
(2006)
IEEE Transactions on Information Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
4
-
-
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
-
5
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
DOI 10.1109/TIT.2006.885507
-
E. Candés 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. (Pubitemid 46445381)
-
(2006)
IEEE Transactions on Information Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candes, E.J.1
Tao, T.2
-
6
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
S. S. Chen,D. L. Donoho, andM. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Comput. , vol. 20, no. 1, pp. 33-61, 1999.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, Issue.1
, pp. 33-61
-
-
Chend. L Donoho, S.S.1
Saunders, A.A.2
-
8
-
-
0027842081
-
Matching pursuits with time-frequency dictionaries
-
Dec
-
S. G. 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.G.1
Zhang, Z.2
-
9
-
-
73149095169
-
Message-passing algorithms for compressed sensing
-
Nov
-
D. L. Donoho, A. Maleki, and A. Montanari, "Message-passing algorithms for compressed sensing," Proc. Nat. Acad. Sci. , vol. 106, no. 45, pp. 18914-18919, Nov. 2009.
-
(2009)
Proc. Nat. Acad. Sci.
, vol.106
, Issue.45
, pp. 18914-18919
-
-
Donoho, D.L.1
Maleki, A.2
Montanari, A.3
-
10
-
-
85014561619
-
A fast iterative shrinkage-thresholding algorithm for linear inverse problems
-
A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithm for linear inverse problems," SIAM J. Imag. Sci. , vol. 2, no. 1, pp. 183-202, 2009.
-
(2009)
SIAM J. Imag. Sci.
, vol.2
, Issue.1
, pp. 183-202
-
-
Beck, A.1
Teboulle, M.2
-
11
-
-
57349138185
-
Counting faces of randomly-projected polytopes when the projection radically lowers dimension
-
D. L. Donoho and J. Tanner, "Counting faces of randomly-projected polytopes when the projection radically lowers dimension," J. Amer. Math. Soc. , vol. 22, no. 1, pp. 1-53, 2009.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, Issue.1
, pp. 1-53
-
-
Donoho, D.L.1
Tanner, J.2
-
12
-
-
77954596738
-
Rényi information dimension: Fundamental limits of almost lossless analog compression
-
Aug
-
Y. Wu and S. Verdú, "Rényi information dimension: Fundamental limits of almost lossless analog compression," IEEE Trans. Inf. Theory, vol. 56, no. 8, pp. 3721-3748, Aug. 2010.
-
(2010)
IEEE Trans. Inf. Theory
, vol.56
, Issue.8
, pp. 3721-3748
-
-
Wu, Y.1
Verdú, S.2
-
13
-
-
80053933128
-
The noise-sensitivity phase transition in compressed sensing
-
Oct
-
D. L. Donoho, A. Maleki, and A. Montanari, "The noise-sensitivity phase transition in compressed sensing," IEEE Trans. Inf. Theory, vol. 57, no. 10, pp. 6920-6941, Oct. 2011.
-
(2011)
IEEE Trans. Inf. Theory
, vol.57
, Issue.10
, pp. 6920-6941
-
-
Donoho, D.L.1
Maleki, A.2
Montanari, A.3
-
14
-
-
77949635021
-
A single-letter characterization of optimal noisy compressed sensing
-
Monticello, IL, Oct
-
D. Guo, D. Baron, and S. Shamai, "A single-letter characterization of optimal noisy compressed sensing," in Proc. 47 Annu. Allerton Conf. Commun. , Control, Comput. , Monticello, IL, Oct. 2009, pp. 52-59.
-
(2009)
Proc. 47 Annu. Allerton Conf. Commun. , Control, Comput.
, pp. 52-59
-
-
Guo, D.1
Baron, D.2
Shamai, S.3
-
15
-
-
52349112508
-
Sampling bounds for sparse support recovery in the presence of noise
-
Theory, Toronto, ON, Canada, Jul
-
G. Reeves and M. Gastpar, "Sampling bounds for sparse support recovery in the presence of noise," in Proc. 2008 IEEE Int. Symp. Inf. Theory, Toronto, ON, Canada, Jul. 2008, pp. 2187-2191.
-
(2008)
Proc. 2008 IEEE Int. Symp. Inf.
, pp. 2187-2191
-
-
Reeves, G.1
Gastpar, M.2
-
16
-
-
84860262596
-
The sampling rate-distortion tradeoff for sparsity pattern recovery in compressed sensing
-
May
-
G. Reeves and M. Gastpar, "The sampling rate-distortion tradeoff for sparsity pattern recovery in compressed sensing," IEEE Trans. Inf. Theory, vol. 58, no. 5, pp. 3065-3092, May 2011.
-
(2011)
IEEE Trans. Inf. Theory
, vol.58
, Issue.5
, pp. 3065-3092
-
-
Reeves, G.1
Gastpar, M.2
-
17
-
-
77955693947
-
Statistical mechanical analysis of a typical reconstruction limit of compressed sensing
-
Austin, TX, Jun
-
Y. Kabashima, T. Wadayama, and T. Tanaka, "Statistical mechanical analysis of a typical reconstruction limit of compressed sensing," in Proc. IEEE Int. Symp. Inf. Theory, Austin, TX, Jun. 2010, pp. 1533-1537.
-
(2010)
Proc. IEEE Int. Symp. Inf. Theory
, pp. 1533-1537
-
-
Kabashima, Y.1
Wadayama, T.2
Tanaka, T.3
-
18
-
-
84857701595
-
-
F. Krzakala, M. Mézard, F. Sausset, Y. Sun, and L. Zdeborová, Statistical physics-based reconstruction in compressed sensing Nov. 2011 [Online]. Available: http://arxiv.org/abs/1109.4424
-
(2011)
Statistical Physics-based Reconstruction in Compressed Sensing Nov.
-
-
Krzakala, F.1
Mézard, M.2
Sausset, F.3
Sun, Y.4
Zdeborová, L.5
-
19
-
-
80054818160
-
Support recovery with sparsely sampled free random matrices
-
Saint Petersburg, Russia, Aug
-
A. M. Tulino, G. Caire, S. Shamai, and S. Verdú, "Support recovery with sparsely sampled free random matrices," in Proc. IEEE Int. Symp. Inf. Theory, Saint Petersburg, Russia, Aug. 2011, pp. 2328-2332.
-
(2011)
Proc. IEEE Int. Symp. Inf. Theory
, pp. 2328-2332
-
-
Tulino, A.M.1
Caire, G.2
Shamai, S.3
Verdú, S.4
-
20
-
-
73849097267
-
Information-theoretic limitations on sparsity recovery in the high-dimensional and noisy setting
-
Dec
-
M. J. Wainwright, "Information-theoretic limitations on sparsity recovery in the high-dimensional and noisy setting," IEEE Trans. Inf. Theory, vol. 55, no. 12, pp. 5728-5741, Dec. 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.12
, pp. 5728-5741
-
-
Wainwright, M.J.1
-
21
-
-
70449505052
-
Necessary and sufficient conditions for sparsity pattern recovery
-
Dec
-
A. K. Fletcher, S. Rangan, and V. K. Goyal, "Necessary and sufficient conditions for sparsity pattern recovery," IEEE Trans. Inf. Theory, vol. 55, no. 12, pp. 5758-5772, Dec. 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.12
, pp. 5758-5772
-
-
Fletcher, A.K.1
Rangan, S.2
Goyal, V.K.3
-
22
-
-
73849138881
-
Shannon-theoretic limits on noisy compressive sampling
-
Jan
-
M. Akçakaya and V. Tarokh, "Shannon-theoretic limits on noisy compressive sampling," IEEE Trans. Inf. Theory, vol. 56, no. 1, pp. 492-504, Jan. 2010.
-
(2010)
IEEE Trans. Inf. Theory
, vol.56
, Issue.1
, pp. 492-504
-
-
Akçakaya, M.1
Tarokh, V.2
-
23
-
-
85032751466
-
Compressed sensing MRI
-
Mar
-
M. Lustig, D. Donoho, J. Santos, and J. Pauly, "Compressed sensing MRI," IEEE Signal Process. Mag. , vol. 25, no. 2, pp. 72-82, Mar. 2008.
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, Issue.2
, pp. 72-82
-
-
Lustig, M.1
Donoho, D.2
Santos, J.3
Pauly, J.4
-
24
-
-
66849132093
-
High-resolution radar via compressed sensing
-
Jun
-
M. A. Herman and T. Strohmer, "High-resolution radar via compressed sensing," IEEE Trans. Signal Process. , vol. 57, no. 6, pp. 2275-2284, Jun. 2009.
-
(2009)
IEEE Trans. Signal Process.
, vol.57
, Issue.6
, pp. 2275-2284
-
-
Herman, M.A.1
Strohmer, T.2
-
25
-
-
77950517814
-
Counting the faces of randomly-projected hypercubes and orthants, with applications
-
D. L. Donoho and J. Tanner, "Counting the faces of randomly-projected hypercubes and orthants, with applications," Discrete Comput. Geom. , vol. 43, no. 3, pp. 522-541, 2010.
-
(2010)
Discrete Comput. Geom.
, vol.43
, Issue.3
, pp. 522-541
-
-
Donoho, D.L.1
Tanner, J.2
-
26
-
-
0003981318
-
-
Amsterdam, The Netherlands: North Holland
-
A. Rényi, Probability Theory. Amsterdam, The Netherlands: North Holland, 1970.
-
(1970)
Probability Theory
-
-
Rényi, A.1
-
27
-
-
77953126052
-
Precise undersampling theorems
-
Jun
-
D. L. Donoho and J. Tanner, "Precise undersampling theorems," Proc. IEEE, vol. 98, no. 6, pp. 913-924, Jun. 2010.
-
(2010)
Proc. IEEE
, vol.98
, Issue.6
, pp. 913-924
-
-
Donoho, D.L.1
Tanner, J.2
-
28
-
-
12144250294
-
On the dimension and entropy of probability distributions
-
Mar
-
A. Rényi, "On the dimension and entropy of probability distributions," Acta Math. Acad. Sci. Hungar. , vol. 10, no. 1-2, pp. 193-215, Mar. 1959.
-
(1959)
Acta Math. Acad. Sci. Hungar.
, vol.10
, Issue.1-2
, pp. 193-215
-
-
Rényi, A.1
-
29
-
-
79960980740
-
MMSE dimension
-
Aug
-
Y. Wu and S. Verdú, "MMSE dimension," IEEE Trans. Inf. Theory, vol. 57, no. 8, pp. 4857-4879, Aug. 2011.
-
(2011)
IEEE Trans. Inf. Theory
, vol.57
, Issue.8
, pp. 4857-4879
-
-
Wu, Y.1
Verdú, S.2
-
30
-
-
0010137340
-
Existence of dimensions and entropy dimension for self-conformal measures
-
Y. Peres and B. Solomyak, "Existence of dimensions and entropy dimension for self-conformal measures," Indiana Univ. Math. J. , vol. 49, no. 4, pp. 1603-1621, 2000.
-
(2000)
Indiana Univ. Math. J.
, vol.49
, Issue.4
, pp. 1603-1621
-
-
Peres, Y.1
Solomyak, B.2
-
31
-
-
0001464903
-
How projections affect the dimension spectrum of fractal measures
-
PII S0951771597809127
-
B. R. Hunt and V. Y. Kaloshin, "How projections affect the dimension spectrum of fractal measures," Nonlinearity, vol. 10, pp. 1031-1046, 1997. (Pubitemid 127431071)
-
(1997)
Nonlinearity
, vol.10
, Issue.5
, pp. 1031-1046
-
-
Hunt, B.R.1
Kaloshin, V.Yu.2
-
32
-
-
0028515718
-
The rate-distortion dimension of sets and measures
-
Sep
-
T. Kawabata and A. Dembo, "The rate-distortion dimension of sets and measures," IEEE Trans. Inf. Theory, vol. 40, no. 5, pp. 1564-1572, Sep. 1994.
-
(1994)
IEEE Trans. Inf. Theory
, vol.40
, Issue.5
, pp. 1564-1572
-
-
Kawabata, T.1
Dembo, A.2
-
33
-
-
84863264784
-
Functional properties of MMSE and mutual information
-
Mar
-
Y. Wu and S. Verdú, "Functional properties of MMSE and mutual information," IEEE Trans. Inf. Theory, vol. 58, no. 3, pp. 1289-1301, Mar. 2012.
-
(2012)
IEEE Trans. Inf. Theory
, vol.58
, Issue.3
, pp. 1289-1301
-
-
Wu, Y.1
Verdú, S.2
-
34
-
-
34548427444
-
On classical analogues of free entropy dimension
-
Oct
-
A. Guionnet and D. Shlyakhtenko, "On classical analogues of free entropy dimension," J. Funct. Anal. , vol. 251, no. 2, pp. 738-771, Oct. 2007.
-
(2007)
J. Funct. Anal.
, vol.251
, Issue.2
, pp. 738-771
-
-
Guionnet, A.1
Shlyakhtenko, D.2
-
37
-
-
0033196607
-
Regularity of embeddings of infinitedimensional fractal sets into finite-dimensional spaces
-
B. R. Hunt and V. Y. Kaloshin, "Regularity of embeddings of infinitedimensional fractal sets into finite-dimensional spaces," Nonlinearity, vol. 12, no. 5, pp. 1263-1275, 1999.
-
(1999)
Nonlinearity
, vol.12
, Issue.5
, pp. 1263-1275
-
-
Hunt, B.R.1
Kaloshin, V.Y.2
-
39
-
-
0029746550
-
Spectrum-blind minimum-rate sampling and reconstruction of multiband signals
-
P. Feng and Y. Bresler, "Spectrum-blind minimum-rate sampling and reconstruction of multiband signals," in Proc. IEEE Int. Conf. Acoust. , Speech, Signal Process. , 1996, vol. 3, pp. 1688-1691.
-
(1996)
Proc. IEEE Int. Conf. Acoust. , Speech, Signal Process.
, vol.3
, pp. 1688-1691
-
-
Feng, P.1
Bresler, Y.2
-
41
-
-
77951692788
-
Lower bounds for sparse recovery
-
K. Do Ba, P. Indyk, E. Price, and D. P. Woodruff, "Lower bounds for sparse recovery," in Proc. 21 Annu. ACM-SIAM Symp. Discrete Algorithms, 2010, pp. 1190-1197.
-
(2010)
Proc. 21 Annu. ACM-SIAM Symp. Discrete Algorithms
, pp. 1190-1197
-
-
Do Ba, K.1
Indyk, P.2
Price, E.3
Woodruff, D.P.4
-
42
-
-
84911837213
-
Communication in the presence of noise
-
Jan
-
C. E. Shannon, "Communication in the presence of noise," Proc. IRE, vol. 37, no. 1, pp. 10-21, Jan. 1949.
-
(1949)
Proc. IRE
, vol.37
, Issue.1
, pp. 10-21
-
-
Shannon, C.E.1
-
43
-
-
84866507814
-
Joint source channel coding
-
J. Skwirzynski, Ed. Amsterdam, The Netherlands: Sijthoff and Nordhoff
-
J. L. Massey, "Joint source channel coding," in Communication Systems and Random Process Theory, J. Skwirzynski, Ed. Amsterdam, The Netherlands: Sijthoff and Nordhoff.
-
Communication Systems and Random Process Theory
-
-
Massey, J.L.1
-
44
-
-
0032075574
-
A proof of the Fisher Information Inequality via a data processing argument
-
PII S0018944898023773
-
R. Zamir, "A proof of the Fisher information inequality via a data processing argument," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp. 1246-1250, May 1998. (Pubitemid 128743284)
-
(1998)
IEEE Transactions on Information Theory
, vol.44
, Issue.3
, pp. 1246-1250
-
-
Zamir, R.1
-
46
-
-
0001211453
-
Theoretical limitations on the transmission of data from analog sources
-
Oct
-
T. Goblick, Jr. , "Theoretical limitations on the transmission of data from analog sources," IEEE Trans. Inf. Theory, vol. 11, no. 4, pp. 558-567, Oct. 1965.
-
(1965)
IEEE Trans. Inf. Theory
, vol.11
, Issue.4
, pp. 558-567
-
-
Goblick Jr., T.1
-
47
-
-
0014848085
-
The behavior of analog communication systems
-
Sep
-
J. Ziv, "The behavior of analog communication systems," IEEE Trans. Inf. Theory, vol. 16, no. 5, pp. 587-594, Sep. 1970.
-
(1970)
IEEE Trans. Inf. Theory
, vol.16
, Issue.5
, pp. 587-594
-
-
Ziv, J.1
-
48
-
-
0038025242
-
To code, or not to code: Lossy source-channel communication revisited
-
May
-
M. Gastpar, B. Rimoldi, andM. Vetterli, "To code, or not to code: Lossy source-channel communication revisited," IEEE Trans. Inf. Theory, vol. 49, no. 5, pp. 1147-1158, May 2003.
-
(2003)
IEEE Trans. Inf. Theory
, vol.49
, Issue.5
, pp. 1147-1158
-
-
Gastpar, M.1
Rimoldi, B.2
Vetterli, M.3
-
50
-
-
34250238196
-
Extensions of distance reducing mappings to piecewise congruent mappings on
-
U. Brehm, "Extensions of distance reducing mappings to piecewise congruent mappings on ," J. Geom. , vol. 16, no. 1, pp. 187-193, 1981.
-
(1981)
J. Geom.
, vol.16
, Issue.1
, pp. 187-193
-
-
Brehm, U.1
-
51
-
-
84866490381
-
A constructive proof of Kirszbraun's theorem
-
A. V. Akopyan and A. S. Tarasov, "A constructive proof of Kirszbraun's theorem," Matematicheskie Zametki, vol. 84, no. 5, pp. 781-784, 2008.
-
(2008)
Matematicheskie Zametki
, vol.84
, Issue.5
, pp. 781-784
-
-
Akopyan, A.V.1
Tarasov, A.S.2
-
52
-
-
0036846395
-
A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors
-
DOI 10.1109/TIT.2002.804053
-
T. Tanaka, "A statistical-mechanics approach to large-system analysis of CDMA multiuser detectors," IEEE Trans. Inf. Theory, vol. 48, no. 11, pp. 2888-2910, Nov. 2002. (Pubitemid 35327603)
-
(2002)
IEEE Transactions on Information Theory
, vol.48
, Issue.11
, pp. 2888-2910
-
-
Tanaka, T.1
-
53
-
-
20544442268
-
Randomly spread CDMA: Asymptotics via statistical physics
-
DOI 10.1109/TIT.2005.847700
-
D. Guo and S. Verdú, "Randomly spread CDMA: Asymptotics via statistical physics," IEEE Trans. Inf. Theory, vol. 51, no. 6, pp. 1983-2010, Jun. 2005. (Pubitemid 40843621)
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.6
, pp. 1983-2010
-
-
Guo, D.1
Verdu, S.2
-
54
-
-
17644366813
-
Mutual information and minimum mean-square error in Gaussian channels
-
Apr
-
D. Guo, S. Shamai, and S. Verdú, "Mutual information and minimum mean-square error in Gaussian channels," IEEE Trans. Inf. Theory, vol. 51, no. 4, pp. 1261-1283, Apr. 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.4
, pp. 1261-1283
-
-
Guo, D.1
Shamai, S.2
Verdú, S.3
-
55
-
-
42149091048
-
Multiuser detection of sparsely spread CDMA
-
DOI 10.1109/JSAC.2008.080402, 4481368
-
D. Guo and C. C. Wang, "Multiuser detection of sparsely spread CDMA," IEEE J. Sel. Areas Commun. , vol. 26, no. 3, pp. 421-431, Apr. 2008. (Pubitemid 351540618)
-
(2008)
IEEE Journal on Selected Areas in Communications
, vol.26
, Issue.3
, pp. 421-431
-
-
Guo, D.1
Wang, C.-C.2
-
56
-
-
46749088709
-
Estimating random variables from random sparse observations
-
A. Montanari, "Estimating random variables from random sparse observations," Eur. Trans. Telecommun. , vol. 19, no. 4, pp. 385-403, 2008.
-
(2008)
Eur. Trans. Telecommun.
, vol.19
, Issue.4
, pp. 385-403
-
-
Montanari, A.1
-
58
-
-
84857715972
-
Asymptotic analysis of map estimation via the replica method and applications to compressed sensing
-
Mar
-
S. Rangan, A. K. Fletcher, and V. K. Goyal, "Asymptotic analysis of map estimation via the replica method and applications to compressed sensing," IEEE Trans. Inf. Theory, vol. 58, no. 3, pp. 1902-1923, Mar. 2012.
-
(2012)
IEEE Trans. Inf. Theory
, vol.58
, Issue.3
, pp. 1902-1923
-
-
Rangan, S.1
Fletcher, A.K.2
Goyal, V.K.3
-
59
-
-
84858956033
-
The LASSO risk for Gaussianmatrices
-
Apr
-
M. Bayati and A. Montanari, "The LASSO risk for Gaussianmatrices, " IEEE Trans. Inf. Theory, vol. 58, no. 4, pp. 1997-2017, Apr. 2012.
-
(2012)
IEEE Trans. Inf. Theory
, vol.58
, Issue.4
, pp. 1997-2017
-
-
Bayati, M.1
Montanari, A.2
-
60
-
-
84897584344
-
Asymptotic analysis of complex LASSO via complex approximate message passing (CAMP)
-
to be published
-
A. Maleki, L. Anitori, Z. Yang, andR. G. Baraniuk, "Asymptotic analysis of complex LASSO via complex approximate message passing (CAMP)," IEEE Trans. Inf. Theory, http://arxiv.org/abs/1108.0477, to be published.
-
IEEE Trans. Inf. Theory
-
-
Maleki, A.1
Anitori, L.2
Yang, Z.3
Baraniuk, A.G.4
-
61
-
-
78751566708
-
Phase transitions for greedy sparse approximation algorithms
-
J. D. Blanchard, C. Cartis, J. Tanner, and A. Thompson, "Phase transitions for greedy sparse approximation algorithms," Appl. Comput. Harmon. Anal. , vol. 30, pp. 188-203, 2011.
-
(2011)
Appl. Comput. Harmon. Anal.
, vol.30
, pp. 188-203
-
-
Blanchard, J.D.1
Cartis, C.2
Tanner, J.3
Thompson, A.4
-
62
-
-
84866507812
-
Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising
-
submitted for publication
-
D. L. Donoho, I. Johnstone, and A. Montanari, "Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising," IEEE Trans. Inf. Theory 2011, http://arxiv.org/abs/1111.1041, submitted for publication.
-
(2011)
IEEE Trans. Inf. Theory
-
-
Donoho, D.L.1
Johnstone, I.2
Montanari, A.3
-
63
-
-
79251496987
-
The dynamics of message passing on dense graphs, with applications to compressed sensing
-
Feb
-
M. Bayati and A. Montanari, "The dynamics of message passing on dense graphs, with applications to compressed sensing," IEEE Trans. Inf. Theory, vol. 57, no. 2, pp. 764-785, Feb. 2011.
-
(2011)
IEEE Trans. Inf. Theory
, vol.57
, Issue.2
, pp. 764-785
-
-
Bayati, M.1
Montanari, A.2
-
64
-
-
84938523795
-
Graphical models concepts in compressed sensing
-
Cambridge, U. K. : Cambridge Press
-
A. Montanari, "Graphical models concepts in compressed sensing," in Compressed Sensing: Theory and Applications. Cambridge, U. K. : Cambridge Press, 2012, pp. 394-438.
-
(2012)
Compressed Sensing: Theory and Applications
, pp. 394-438
-
-
Montanari, A.1
-
65
-
-
0000324960
-
Eigenvalues and condition numbers of random matrices
-
Oct
-
A. Edelman, "Eigenvalues and condition numbers of random matrices," SIAM J. Matrix Anal. Appl. , vol. 9, no. 4, pp. 543-560, Oct. 1988.
-
(1988)
SIAM J. Matrix Anal. Appl.
, vol.9
, Issue.4
, pp. 543-560
-
-
Edelman, A.1
-
66
-
-
76749128899
-
Smallest singular value of a random rectangular matrix
-
M. Rudelson and R. Vershynin, "Smallest singular value of a random rectangular matrix," Commun. Pure Appl. Math. , vol. 62, pp. 1707-1739, 2009.
-
(2009)
Commun. Pure Appl. Math.
, vol.62
, pp. 1707-1739
-
-
Rudelson, M.1
Vershynin, R.2
-
68
-
-
0001874737
-
Sur les distances des points des ensembles de mesure positive
-
H. Steinhaus, "Sur les distances des points des ensembles de mesure positive," Fundamenta Mathematicae, vol. 1, pp. 93-104, 1920.
-
(1920)
Fundamenta Mathematicae
, vol.1
, pp. 93-104
-
-
Steinhaus, H.1
-
69
-
-
0033184940
-
On the rate-distortion function of random vectors and stationary sources with mixed distributions
-
DOI 10.1109/18.782151
-
A. György, T. Linder, and K. Zeger, "On the rate-distortion function of random vectors and stationary sources with mixed distributions," IEEE Trans. Inf. Theory, vol. 45, no. 6, pp. 2110-2115, Sep. 1999. (Pubitemid 32077641)
-
(1999)
IEEE Transactions on Information Theory
, vol.45
, Issue.6
, pp. 2110-2115
-
-
Gyorgy Andras1
Linder Tamas2
Zeger Kenneth3
-
70
-
-
79952832483
-
Estimation in Gaussian noise: Properties of the minimum mean-square error
-
Apr
-
D. Guo, Y. Wu, S. Shamai, and S. Verdú, "Estimation in Gaussian noise: Properties of the minimum mean-square error," IEEE Trans. Inf. Theory, vol. 57, no. 4, pp. 2371-2385, Apr. 2011.
-
(2011)
IEEE Trans. Inf. Theory
, vol.57
, Issue.4
, pp. 2371-2385
-
-
Guo, D.1
Wu, Y.2
Shamai, S.3
Verdú, S.4
-
71
-
-
84886671100
-
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing
-
submitted for publication
-
D. L. Donoho,A. Javanmard, and A. Montanari, "Information- theoretically optimal compressed sensing via spatial coupling and approximate message passing," IEEE Trans. Inf. Theory, http://arxiv.org/abs/1112.0708, submitted for publication.
-
IEEE Trans. Inf. Theory
-
-
Donoho, D.L.1
Javanmard, A.2
Montanari, A.3
-
72
-
-
79952426734
-
The effect of spatial coupling on compressive sensing
-
S. Kudekar and H. D. Pfister, "The effect of spatial coupling on compressive sensing," in Proc. 48 Annu. Allerton Conf. Commun. , Control, Comput. , 2010, pp. 347-353.
-
(2010)
Proc. 48 Annu. Allerton Conf. Commun. , Control, Comput.
, pp. 347-353
-
-
Kudekar, S.1
Pfister, H.D.2
-
75
-
-
0017243736
-
Optimal linear coding for vector channels
-
Dec
-
K. H. Lee and D. P. Petersen, "Optimal linear coding for vector channels," IEEE Trans. Commun. , vol. 24, no. 12, pp. 1283-1290, Dec. 1976.
-
(1976)
IEEE Trans. Commun.
, vol.24
, Issue.12
, pp. 1283-1290
-
-
Lee, K.H.1
Petersen, D.P.2
-
76
-
-
84919781032
-
Random matrix theory and wireless communications
-
Jun
-
A. M. Tulino and S. Verdú, "Random matrix theory and wireless communications," J. Commun. Inf. Theory, vol. 1, no. 1, pp. 1-182, Jun. 2004.
-
(2004)
J. Commun. Inf. Theory
, vol.1
, Issue.1
, pp. 1-182
-
-
Tulino, A.M.1
Verdú, S.2
|