-
2
-
-
33747163541
-
High-dimensional graphs and variable selection with the lasso
-
June
-
N. Meinshausen and P. Bühlmann, "High-dimensional graphs and variable selection with the lasso," Ann. Statist., vol. 34, no. 3, pp, 1436-1462, June 2006.
-
(2006)
Ann. Statist
, vol.34
, Issue.3
, pp. 1436-1462
-
-
Meinshausen, N.1
Bühlmann, P.2
-
3
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
Jan.
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Scientific Comput., vol. 20, no. 1, pp. 33-61, Jan. 1998.
-
(1998)
SIAM J. Scientific Comput.
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
4
-
-
0031541839
-
Adaptive greedy approximations
-
New York, NY: Springer, Mar.
-
G. Davis, S. Mallat, and M. Avellaneda, "Adaptive greedy approximations," in Constructive Approximation. New York, NY: Springer, Mar. 1997, vol. 13, no. 1, pp. 57-98.
-
(1997)
Constructive Approximation
, vol.13
, Issue.1
, pp. 57-98
-
-
Davis, G.1
Mallat, S.2
Avellaneda, M.3
-
5
-
-
77955667892
-
Model selection: Two fundamental measures of coherence and their algorithmic significance
-
Austin, TX, June
-
W. U. Bajwa, R. Calderbank, and S. Jafarpour, "Model selection: Two fundamental measures of coherence and their algorithmic significance," in Proc. ISIT, Austin, TX, June 2010, pp. 1568-1572.
-
(2010)
Proc. ISIT
, pp. 1568-1572
-
-
Bajwa, W.U.1
Calderbank, R.2
Jafarpour, S.3
-
6
-
-
57049180713
-
Norms of random submatrices and sparse approximation
-
Paris
-
J. A. Tropp, "Norms of random submatrices and sparse approximation," in C. R. Acad. Sci., Ser. I, Paris, 2008, vol. 346, pp. 1271-1274.
-
(2008)
C. R. Acad. Sci., Ser. I
, vol.346
, pp. 1271-1274
-
-
Tropp, J.A.1
-
7
-
-
84939349092
-
Complex sequences with low periodic correlations
-
May
-
W. Alltop, "Complex sequences with low periodic correlations," IEEE Trans. Inf. Theory, vol. 26, no. 3, pp. 350-354, May 1980.
-
(1980)
IEEE Trans. Inf. Theory
, vol.26
, Issue.3
, pp. 350-354
-
-
Alltop, W.1
-
8
-
-
0242323185
-
Grassmanian frames with applications to coding and communication
-
May
-
T. Strohmer and R. Heath, "Grassmanian frames with applications to coding and communication," Appl. Comput. Harmon. Anal., vol. 14, no. 3, pp. 257-275, May 2003.
-
(2003)
Appl. Comput. Harmon. Anal.
, vol.14
, Issue.3
, pp. 257-275
-
-
Strohmer, T.1
Heath, R.2
-
9
-
-
33646365077
-
For most large underdetermined systems of linear equations the minimal ℓi-norm solution is also the sparsest solution
-
June
-
D. L. Donoho, "For most large underdetermined systems of linear equations the minimal ℓi-norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, June 2006.
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
11
-
-
84915425007
-
Some comments on Cp
-
Nov.
-
C. L. Mallows, "Some comments on Cp," Technometrics, vol. 15, no, 4, pp. 661-675, Nov. 1973.
-
(1973)
Technometrics
, vol.15
, Issue.4
, pp. 661-675
-
-
Mallows, C.L.1
-
12
-
-
0016355478
-
A new look at the statistical model identification
-
Dec.
-
H. Akaike, "A new look at the statistical model identification, " IEEE Trans. Autom. Control, vol. 19, no. 6, pp. 716-723, Dec. 1974.
-
(1974)
IEEE Trans. Autom. Control
, vol.19
, Issue.6
, pp. 716-723
-
-
Akaike, H.1
-
13
-
-
77956565070
-
A non-asymptotic theory for model selection
-
A. Laptev, Ed., Stockholm, Sweden
-
P. Massart, "A non-asymptotic theory for model selection," in European Congress of Mathematics, A. Laptev, Ed., Stockholm, Sweden, 2005, pp. 309-323.
-
(2005)
European Congress of Mathematics
, pp. 309-323
-
-
Massart, P.1
-
14
-
-
0000120766
-
Estimating the dimension of a model
-
G. Schwarz, "Estimating the dimension of a model," Ann. Statist., vol. 6, no. 2, pp. 461-464, 1978.
-
(1978)
Ann. Statist.
, vol.6
, Issue.2
, pp. 461-464
-
-
Schwarz, G.1
-
15
-
-
21844523862
-
The risk inflation criterion for multiple regression
-
D. P. Foster and E. I. George, "The risk inflation criterion for multiple regression," Ann. Statist., vol. 22, no. 4, pp. 1947-1975, 1994.
-
(1994)
Ann. Statist.
, vol.22
, Issue.4
, pp. 1947-1975
-
-
Foster, D.P.1
George, E.I.2
-
16
-
-
0029291966
-
Sparse approximate solutions to linear systems
-
Apr.
-
B. K. Natarajan, "Sparse approximate solutions to linear systems," SIAM J. Comput, vol. 24, no. 2, pp. 227-234, Apr. 1995.
-
(1995)
SIAM J. Comput
, vol.24
, Issue.2
, pp. 227-234
-
-
Natarajan, B.K.1
-
17
-
-
0001287271
-
Regression shrinkage and selection via the lasso
-
R. Tibshirani, "Regression shrinkage and selection via the lasso," J. Roy. Statist. Soc. Ser. B, vol. 58, no. 1, pp. 267-288, 1996.
-
(1996)
J. Roy. Statist. Soc. Ser. B
, vol.58
, Issue.1
, pp. 267-288
-
-
Tibshirani, R.1
-
18
-
-
33845263263
-
On model selection consistency of lasso
-
P. Zhao and B. Yu, "On model selection consistency of lasso," J. Mach. Learning Res., vol. 7, pp. 2541-2563, 2006.
-
(2006)
J. Mach. Learning Res.
, vol.7
, pp. 2541-2563
-
-
Zhao, P.1
Yu, B.2
-
19
-
-
65749083666
-
Sharp thresholds for high-dimensional and noisy sparsity recovery using ii -constrained quadratic programming (lasso)
-
May
-
M. J. Wainwright, "Sharp thresholds for high-dimensional and noisy sparsity recovery using ii -constrained quadratic programming (lasso)" IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2183-2202, May 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.5
, pp. 2183-2202
-
-
Wainwright, M.J.1
-
20
-
-
69049120308
-
1 minimization
-
Oct.
-
1 minimization,"Ann. Statist., vol. 37, no. 5A, pp. 2145-2177, Oct. 2009.
-
(2009)
Ann. Statist.
, vol.37
, Issue.5 A
, pp. 2145-2177
-
-
Candès, E.J.1
Plan, Y.2
-
21
-
-
85161624488
-
Thresholded basis pursuit: An LP algorithm for achieving optimal support recovery for sparse and approximately sparse signals from noisy random measurements
-
[Online]. Available: arXiv:0809.4883v3
-
V. Saligrama and M. Zhao. Thresholded basis pursuit: An LP algorithm for achieving optimal support recovery for sparse and approximately sparse signals from noisy random measurements, submitted to IEEE Trans. Inf. Theory. [Online]. Available: arXiv:0809.4883v3
-
IEEE Trans. Inf. Theory
-
-
Saligrama, V.1
Zhao, M.2
-
22
-
-
36249017221
-
Average performance analysis for threbholding
-
Nov.
-
K. Schnass and P. Vandergheynst, "Average performance analysis for threbholding," IEEE Signal Process. Lett., vol. 14, no. 11, pp. 828-831, Nov. 2007.
-
(2007)
IEEE Signal Process. Lett.
, vol.14
, Issue.11
, pp. 828-831
-
-
Schnass, K.1
Vandergheynst, P.2
-
23
-
-
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
-
24
-
-
77953817248
-
A note on optimal support recovery in compressed sensing
-
Pacific Grove, CA, Nov.
-
G. Reeves and M. Gastpar, "A note on optimal support recovery in compressed sensing," in Proc. 43rd Asilomar Conf. Signals, Syst. Comput., Pacific Grove, CA, Nov. 2009.
-
(2009)
Proc. 43rd Asilomar Conf. Signals, Syst. Comput.
-
-
Reeves, G.1
Gastpar, M.2
-
25
-
-
0041958932
-
Ideal spatial adaptation by wavelet shrinkage
-
D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage," Biometrika, vol. 81, no. 3, pp. 425-455, 1994.
-
(1994)
Biometrika
, vol.81
, Issue.3
, pp. 425-455
-
-
Donoho, D.L.1
Johnstone, I.M.2
-
26
-
-
82155194732
-
Special issue on compressive sampling
-
Mar.
-
"Special issue on compressive sampling," IEEE Signal Process. Mag., vol. 25, no. 2, Mar. 2008.
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, Issue.2
-
-
-
27
-
-
34548275795
-
The Dantzig selector: Statistical estimation when p is much larger than
-
Dec.
-
E. J. Candès and T. Tao, "The Dantzig selector: Statistical estimation when p is much larger than," Ann. Statist., vol. 35, no. 6, pp. 2313-2351, Dec. 2007.
-
(2007)
Ann. Statist.
, vol.35
, Issue.6
, pp. 2313-2351
-
-
Candès, E.J.1
Tao, T.2
-
28
-
-
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
-
29
-
-
65749110333
-
Subspace pursuit for compressive sensing signal reconstruction
-
May
-
W. Dai and O. Milenkovic, "Subspace pursuit for compressive sensing signal reconstruction," IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2230-2249, May 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.5
, pp. 2230-2249
-
-
Dai, W.1
Milenkovic, O.2
-
30
-
-
62749175137
-
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
-
D, Needell and J. A. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal., vol. 26, no. 3, pp. 301-321, 2009.
-
(2009)
Appl. Comput. Harmon. Anal.
, vol.26
, Issue.3
, pp. 301-321
-
-
Tropp, J.A.1
-
31
-
-
69949164527
-
Iterative hard thresholding for compressed sensing
-
T. Blumensath and M. E. Davies, "Iterative hard thresholding for compressed sensing," Appl. Comput. Harmon. Anal., vol. 27, no. 3, pp. 265-274, 2009.
-
(2009)
Appl. Comput. Harmon. Anal.
, vol.27
, Issue.3
, pp. 265-274
-
-
Blumensath, T.1
Davies, M.E.2
-
32
-
-
35448971851
-
One sketch for all: Fast algorithms for compressed sensing
-
San Diego, CA, June
-
A. C. Gilbert, M. J. Strauss, J. A. Tropp, and R. Vershynin, "One sketch for all: Fast algorithms for compressed sensing," in Proc. STOC, San Diego, CA, June 2007, pp. 237-246.
-
(2007)
Proc. STOC
, pp. 237-246
-
-
Gilbert, A.C.1
Strauss, M.J.2
Tropp, J.A.3
Vershynin, R.4
-
33
-
-
0036041770
-
Nearoptimal sparse fourier representations via sampling
-
Montreal, Canada, May
-
A. C. Gilbert, S. Guha, P. Indyk, S. Muthukrishnan, and M. Strauss, "Nearoptimal sparse Fourier representations via sampling," in Proc. STOC, Montreal, Canada, May 2002, pp. 152-161.
-
(2002)
Proc. STOC
, pp. 152-161
-
-
Gilbert, A.C.1
Guha, S.2
Indyk, P.3
Muthukrishnan, S.4
Strauss, M.5
-
34
-
-
78650759634
-
A deterministic sub-linear time sparse fourier algorithm via non-adaptive compressed sensing methods
-
San Francisco, CA, Jan.
-
M. A. Iwen, "A deterministic sub-linear time sparse Fourier algorithm via non-adaptive compressed sensing methods," in Proc. SODA, San Francisco, CA, Jan. 2008, pp. 20-29.
-
(2008)
Proc. SODA
, pp. 20-29
-
-
Iwen, M.A.1
-
35
-
-
42649140570
-
The restricted isometry property and its implications for compressed sensing
-
Paris
-
E. J. Candes, "The restricted isometry property and its implications for compressed sensing," in C. R. Acad. Sci., Ser. 1, Paris, 2008, vol. 346, pp. 589-592.
-
(2008)
C. R. Acad. Sci., Ser. 1
, vol.346
, pp. 589-592
-
-
Candes, E.J.1
-
36
-
-
0016060859
-
Lower bounds on the maximum cross correlation of signals
-
May
-
L. Welch, "Lower bounds on the maximum cross correlation of signals," IEEE Trans. Inf. Theory, vol. 20, no. 3, pp. 397-399, May 1974.
-
(1974)
IEEE Trans. Inf. Theory
, vol.20
, Issue.3
, pp. 397-399
-
-
Welch, L.1
-
37
-
-
54949110579
-
Identification of matrices having a sparse representation
-
Nov.
-
G. E. Pfander, H. Rauhut, and J. Tanner, "Identification of matrices having a sparse representation," IEEE Trans. Signal Process., vol. 56, no. 11, pp. 5376-5388, Nov. 2008.
-
(2008)
IEEE Trans. Signal Process
, vol.56
, Issue.11
, pp. 5376-5388
-
-
Pfander, G.E.1
Rauhut, H.2
Tanner, J.3
-
38
-
-
66849132093
-
High-resolution radar via compressed sensing
-
June
-
M. A. Herman and T. Strohmer, "High-resolution radar via compressed sensing," IEEE Trans. Signal Process., vol. 57, no. 6, pp. 2275-2284, June 2009.
-
(2009)
IEEE Trans. Signal Process
, vol.57
, Issue.6
, pp. 2275-2284
-
-
Herman, M.A.1
Strohmer, T.2
-
39
-
-
44249104733
-
On the conditioning of random subdictionaries
-
J. A. Tropp, "On the conditioning of random subdictionaries," Appl. Comput. Harmon. Anal., vol. 25, pp. 1-24, 2008.
-
(2008)
Appl. Comput. Harmon. Anal.
, vol.25
, pp. 1-24
-
-
Tropp, J.A.1
-
40
-
-
73849097267
-
Information-theoretic limits on sparsity recovery in the high-dimensional and noisy setting
-
Dec.
-
M. J. Wainwright, "Information-theoretic limits 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
-
41
-
-
73849138881
-
Shannon-theoretic limits on noisy compressive sampling
-
Jan.
-
M. Akcakaya 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
-
-
Akcakaya, M.1
Tarokh, V.2
-
42
-
-
0037844320
-
Meeting the Welch bound with equality
-
D. V. Sarwate, "Meeting the Welch bound with equality," in Proc. SETA, 1998, pp. 79-102.
-
(1998)
Proc. SETA
, pp. 79-102
-
-
Sarwate, D.V.1
-
43
-
-
84877883600
-
Non-asymptotic theory of random matrices: Extreme singular values
-
Hyderabad, India, Aug.
-
M. Rudelson and R. Vershynin, "Non-asymptotic theory of random matrices: Extreme singular values," to appear in Proc. Int. Congr. of Mathematicians, Hyderabad, India, Aug. 2010.
-
(2010)
Proc. Int. Congr. of Mathematicians
-
-
Rudelson, M.1
Vershynin, R.2
-
44
-
-
29644443325
-
Linear independence of Gabor systems in finite dimensional vector spaces
-
Dec.
-
J. Lawrence, G. E. Pfander, and D. Walnut, "Linear independence of Gabor systems in finite dimensional vector spaces," J. Fourier Anal. Appl., vol. 11, no. 6, pp. 715-726, Dec. 2005.
-
(2005)
J. Fourier Anal. Appl.
, vol.11
, Issue.6
, pp. 715-726
-
-
Lawrence, J.1
Pfander, G.E.2
Walnut, D.3
-
45
-
-
0001197443
-
Über die abgrenzung der eigenwerte einer matrix
-
S. A. GerŠgorin, "Über die abgrenzung der eigenwerte einer matrix," Izv. Akad. Nauk SSSR Ser. Fiz.-Mat., vol. 6, pp. 749-754, 1931.
-
(1931)
Izv. Akad. Nauk SSSR Ser. Fiz.-Mat.
, vol.6
, pp. 749-754
-
-
GerŠgorin, S.A.1
-
46
-
-
85009724776
-
Nonlinear approximation
-
A. Iserles, Ed. Cambridge, U.K.: Cambridge University Press
-
R. A. Devore, "Nonlinear approximation," in Acta Numerica, A. Iserles, Ed. Cambridge, U.K.: Cambridge University Press, 1998, vol. 7, pp. 51-150.
-
(1998)
Acta Numerica
, vol.7
, pp. 51-150
-
-
Devore, R.A.1
-
47
-
-
51849127524
-
Compressed channel sensing
-
Princeton, NJ, Mar.
-
W. U. Bajwa, J. Haupt, G. Raz, and R. Nowak, "Compressed channel sensing," in Proc. CISS, Princeton, NJ, Mar. 2008, pp. 5-10.
-
(2008)
Proc. CISS
, pp. 5-10
-
-
Bajwa, W.U.1
Haupt, J.2
Raz, G.3
Nowak, R.4
-
48
-
-
77956563404
-
Toeplitz compressed sensing matrices with applications to sparse channel estimation
-
J. Haupt, W. U. Bajwa, G. Raz, and R. Nowak, 'Toeplitz compressed sensing matrices with applications to sparse channel estimation," to appear in IEEE Trans. Inf. Theory, 2010.
-
(2010)
IEEE Trans. Inf. Theory
-
-
Haupt, J.1
Bajwa, W.U.2
Raz, G.3
Nowak, R.4
-
50
-
-
64549138912
-
Learning sparse doublyselective channels
-
Monticello, IL, Sept.
-
W. U. Bajwa, A. M. Sayeed, and R. Nowak, "Learning sparse doublyselective channels," in Proc. 45th Annu. Allerton Conf. Commun., Control, and Computing, Monticello, IL, Sept. 2008, pp. 575-582.
-
(2008)
Proc. 45th Annu. Allerton Conf. Commun., Control, and Computing
, pp. 575-582
-
-
Bajwa, W.U.1
Sayeed, A.M.2
Nowak, R.3
-
51
-
-
0001035413
-
On the method of bounded differences
-
J. Siemons, Ed. Cambridge University Press
-
C. McDiarmid, "On the method of bounded differences," in Surveys in Combinatorics, J. Siemons, Ed. Cambridge University Press, 1989, pp. 148-188.
-
(1989)
Surveys in Combinatorics
, pp. 148-188
-
-
McDiarmid, C.1
-
53
-
-
67650178787
-
Sparse reconstruction by separable approximation
-
Jul.
-
S. J. Wright, R. D. Nowak, and M. A. T. Figueiredo, "Sparse reconstruction by separable approximation," IEEE Trans. Signal Process., vol. 57, no. 7, pp. 2479-2493, Jul. 2009.
-
(2009)
IEEE Trans. Signal Process
, vol.57
, Issue.7
, pp. 2479-2493
-
-
Wright, S.J.1
Nowak, R.D.2
Figueiredo, M.A.T.3
-
54
-
-
84972574511
-
Weighted sums of certain dependent random variables
-
K. Azuma, "Weighted sums of certain dependent random variables," Tohoku Math. J, vol. 19, no. 3, pp. 357-367, 1967.
-
(1967)
Tohoku Math. J
, vol.19
, Issue.3
, pp. 357-367
-
-
Azuma, K.1
|