-
3
-
-
84860253232
-
Least squares superposition codes of moderate dictionary size, reliable at rates up to channel capacity
-
A. R. Barron and A. Joseph. Least squares superposition codes of moderate dictionary size, reliable at rates up to channel capacity. IEEE Trans. Inform. Theory, 58:2541-2557, 2012.
-
(2012)
IEEE Trans. Inform. Theory
, vol.58
, pp. 2541-2557
-
-
Barron, A.R.1
Joseph, A.2
-
4
-
-
50649107089
-
Approximation and learning by greedy algorithms
-
A. R. Barron, A. Cohen, W. Dahmen, and R. A. DeVore. Approximation and learning by greedy algorithms. Ann. Statist., 36(1):64-94, 2008.
-
(2008)
Ann. Statist.
, vol.36
, Issue.1
, pp. 64-94
-
-
Barron, A.R.1
Cohen, A.2
Dahmen, W.3
De Vore, R.A.4
-
5
-
-
79959566409
-
Orthogonal matching pursuit for sparse signal recovery with noise
-
T. T. Cai and L. Wang. Orthogonal matching pursuit for sparse signal recovery with noise. IEEE Trans. Inform. Theory, 57(7):4680-4688, 2011.
-
(2011)
IEEE Trans. Inform. Theory
, vol.57
, Issue.7
, pp. 4680-4688
-
-
Cai, T.T.1
Wang, L.2
-
6
-
-
34548275795
-
The Dantzig selector: Statistical estimation when p is much larger than n
-
E. Candès and T. Tao. The Dantzig selector: Statistical estimation when p is much larger than n. Ann. Statist., 35(6):2313-2351, 2007.
-
(2007)
Ann. Statist.
, vol.35
, Issue.6
, pp. 2313-2351
-
-
Candès, E.1
Tao, T.2
-
7
-
-
69049120308
-
Near-ideal model selection by l1 minimization
-
E. J. Candès and Y. Plan. Near-ideal model selection by l1 minimization. Ann. Statist., 37 (5 A):2145-2177, 2009.
-
(2009)
Ann. Statist.
, vol.37
, Issue.5 A
, pp. 2145-2177
-
-
Candès, E.J.1
Plan, Y.2
-
8
-
-
29144439194
-
Decoding by linear programming
-
E. J. Candès and T. Tao. Decoding by linear programming. IEEE Trans. Inform. Theory, 51(12):4203-4215, 2005.
-
(2005)
IEEE Trans. Inform. Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candès, E.J.1
Tao, T.2
-
9
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
E. J. Candès and T. Tao. Near-optimal signal recovery from random projections: Universal encoding strategies? IEEE Trans. Inform. Theory, 52(12):5406-5425, 2006.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candès, E.J.1
Tao, T.2
-
10
-
-
33645712892
-
Compressed sensing
-
D. L. Donoho. Compressed sensing. IEEE Trans. Inform. Theory, 52(4):1289-1306, 2006a.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
11
-
-
33744552752
-
For most large underdetermined systems of equations, the minimal l1-norm nearsolution approximates the sparsest near-solution
-
D. L. Donoho. For most large underdetermined systems of equations, the minimal l1-norm nearsolution approximates the sparsest near-solution. Communications On Pure And Applied Mathematics, 59(7):907-934, 2006b.
-
(2006)
Communications on Pure and Applied Mathematics
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.L.1
-
12
-
-
33144483155
-
Stable recovery of sparse overcomplete representations in the presence of noise
-
D. L. Donoho, M. Elad, and V. N. Temlyakov. Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Trans. Inform. Theory, 52(1):6-18, 2006.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.1
, pp. 6-18
-
-
Donoho, D.L.1
Elad, M.2
Temlyakov, V.N.3
-
14
-
-
84884225696
-
Orthogonal matching pursuit: A Brownian motion analysis
-
A. K. Fletcher and S. Rangan. Orthogonal matching pursuit: A Brownian motion analysis. IEEE Trans. Sig. Processing, (99):1-1, 2011.
-
(2011)
IEEE Trans. Sig. Processing
, Issue.99
, pp. 1-1
-
-
Fletcher, A.K.1
Rangan, S.2
-
15
-
-
79959571368
-
Risk of penalized least squares, greedy selection and l1 penalization for flexible function libraries
-
C. Huang, G. H. L. Cheang, and A. R. Barron. Risk of penalized least squares, greedy selection and l1 penalization for flexible function libraries. Technical Report, 2008.
-
(2008)
Technical Report
-
-
Huang, C.1
Cheang, G.H.L.2
Barron, A.R.3
-
16
-
-
0000796112
-
A simple lemma for optimization in a Hilbert space, with application to projection pursuit and neural net training
-
L. Jones. A simple lemma for optimization in a Hilbert space, with application to projection pursuit and neural net training. Ann. Statist., 20:608-613, 1992.
-
(1992)
Ann. Statist.
, vol.20
, pp. 608-613
-
-
Jones, L.1
-
17
-
-
0001556720
-
Efficient agnostic learning of neural networks with bounded fan-in
-
W. S. Lee, P. L. Bartlett, and R. C. Williamson. Efficient agnostic learning of neural networks with bounded fan-in. IEEE Trans. Inform. Theory, 42(6):2118-2132, 1996.
-
(1996)
IEEE Trans. Inform. Theory
, vol.42
, Issue.6
, pp. 2118-2132
-
-
Lee, W.S.1
Bartlett, P.L.2
Williamson, R.C.3
-
18
-
-
0027842081
-
Matching pursuit with time-frequency dictionaries
-
S. Mallat and S. M. Z. Zhang. Matching pursuit with time-frequency dictionaries. IEEE Trans. Signal Processing, 41:3397-3415, 1993.
-
(1993)
IEEE Trans. Signal Processing
, vol.41
, pp. 3397-3415
-
-
Mallat, S.1
Zhang, S.M.Z.2
-
19
-
-
33747163541
-
High-dimensional graphs and variable selection with the lasso
-
N. Meinshausen and P. Buhlmann. High-dimensional graphs and variable selection with the lasso. Ann. Statist., 34(3):1436-1462, 2006.
-
(2006)
Ann. Statist.
, vol.34
, Issue.3
, pp. 1436-1462
-
-
Meinshausen, N.1
Buhlmann, P.2
-
20
-
-
0027814133
-
Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition
-
IEEE
-
Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad. Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. In Conf. Rec. 27th Asilomar Conf. Sig., Sys. and Comput., pages 40-44. IEEE, 1993.
-
(1993)
Conf. Rec. 27th Asilomar Conf. Sig., Sys. and Comput.
, pp. 40-44
-
-
Pati, Y.C.1
Rezaiifar, R.2
Krishnaprasad, P.S.3
-
21
-
-
0009400517
-
Condition numbers of random matrices
-
S. J. Szarek. Condition numbers of random matrices. Journal of Complexity, 7(2):131-149, 1991.
-
(1991)
Journal of Complexity
, vol.7
, Issue.2
, pp. 131-149
-
-
Szarek, S.J.1
-
23
-
-
5444237123
-
Greed is good: Algorithmic results for sparse approximation
-
J. A. Tropp. Greed is good: Algorithmic results for sparse approximation. IEEE Trans. Inform. Theory, 50(10):2231-2242, 2004.
-
(2004)
IEEE Trans. Inform. Theory
, vol.50
, Issue.10
, pp. 2231-2242
-
-
Tropp, J.A.1
-
24
-
-
33645712308
-
Just relax: Convex programming methods for identifying sparse signals in noise
-
J. A. Tropp. Just relax: Convex programming methods for identifying sparse signals in noise. IEEE Trans. Inform. Theory, 52(3):1030-1051, 2006.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.3
, pp. 1030-1051
-
-
Tropp, J.A.1
-
25
-
-
64649083745
-
Signal recovery from random measurements via orthogonal matching pursuit
-
J. A. Tropp and A. C. Gilbert. Signal recovery from random measurements via orthogonal matching pursuit. IEEE Trans. Inform. Theory, 53(12):4655-4666, 2007.
-
(2007)
IEEE Trans. Inform. Theory
, vol.53
, Issue.12
, pp. 4655-4666
-
-
Tropp, J.A.1
Gilbert, A.C.2
-
26
-
-
65749083666
-
1constrained quadratic programming (lasso)
-
1constrained quadratic programming (lasso). IEEE Trans. Inform. Theory, 55(5):2183-2202, 2009.
-
(2009)
IEEE Trans. Inform. Theory
, vol.55
, Issue.5
, pp. 2183-2202
-
-
Wainwright, M.J.1
-
27
-
-
50949096321
-
The sparsity and bias of the lasso selection in high-dimensional linear regression
-
C. H. Zhang and J. Huang. The sparsity and bias of the lasso selection in high-dimensional linear regression. Ann. Statist., 36(4):1567-1594, 2008.
-
(2008)
Ann. Statist.
, vol.36
, Issue.4
, pp. 1567-1594
-
-
Zhang, C.H.1
Huang, J.2
-
28
-
-
64149088421
-
On the consistency of feature selection using greedy least squares regression
-
T. Zhang. On the consistency of feature selection using greedy least squares regression. J. Mach. Learn. Res., 10:555-568, 2009a.
-
(2009)
J. Mach. Learn. Res.
, vol.10
, pp. 555-568
-
-
Zhang, T.1
-
29
-
-
69049086702
-
Some sharp performance bounds for least squares regression with l1 regularization
-
T. Zhang. Some sharp performance bounds for least squares regression with l1 regularization. Ann. Statist., 7(5A):2109-2144, 2009b.
-
(2009)
Ann. Statist.
, vol.7
, Issue.5 A
, pp. 2109-2144
-
-
Zhang, T.1
-
30
-
-
33845263263
-
On model selection consistency of lasso
-
P. Zhao and B. Yu. On model selection consistency of lasso. J. Mach. Learn. Res., 7:2541-2563, 2006.
-
(2006)
J. Mach. Learn. Res.
, vol.7
, pp. 2541-2563
-
-
Zhao, P.1
Yu, B.2
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