-
2
-
-
33646507506
-
Eigenvalues of large sample covariance matrices of spiked populations models
-
MR2279680
-
BAIK, J. and SILVERSTEIN, J. W. (2006). Eigenvalues of large sample covariance matrices of spiked populations models. J. Multivariate Anal. 97 1382-1408. MR2279680
-
(2006)
J. Multivariate Anal
, vol.97
, pp. 1382-1408
-
-
Baik, J.1
Silverstein, J.W.2
-
3
-
-
41549106844
-
Regularized estimation of large covariance matrices
-
MR2387969
-
BICKEL, P. and LEVINA, E. (2008). Regularized estimation of large covariance matrices. Ann. Statist. 36 199-227. MR2387969
-
(2008)
Ann. Statist
, vol.36
, pp. 199-227
-
-
Bickel, P.1
Levina, E.2
-
5
-
-
33748311057
-
Metric Characterization of Random Variables and Random Processes
-
Providence, RI, MR1743716
-
BULDYGIN, V. V. and KOZACHENKO, Y. V. (2000). Metric Characterization of Random Variables and Random Processes. Amer. Math. Soc., Providence, RI. MR1743716
-
(2000)
Amer. Math. Soc.
-
-
Buldygin, V.V.1
Kozachenko, Y.V.2
-
6
-
-
34548275795
-
The Dantzig selector: Statistical estimation when p is much larger than
-
MR2382644
-
CANDES, E. and TAO, T. (2006). The Dantzig selector: Statistical estimation when p is much larger than n. Ann. Statist. 35 2313-2351. MR2382644
-
(2006)
N. Ann. Statist
, vol.35
, pp. 2313-2351
-
-
Candes, E.1
Tao, T.2
-
9
-
-
34548514458
-
A direct formulation for sparse PCA using semidefinite programming
-
MR2353806
-
D'ASPREM0NT, A., EL GHA0UI, L., J0RDAN, M.I. and LANCKRIET, G. R. G. (2007). A direct formulation for sparse PCA using semidefinite programming. SIAM Rev. 49 434-448. MR2353806
-
(2007)
SIAM Rev
, vol.49
, pp. 434-448
-
-
D'Aspremont, A.1
EL Ghaoui, L.2
Jordan, M.I.3
Lanckriet, G.R.G.4
-
10
-
-
0012070851
-
Local operator theory, random matrices, and Banach spaces
-
Elsevier, Amsterdam, NL, MR1863696
-
DAVIDS0N, K.R. and SZAREK, S. J. (2001). Local operator theory, random matrices, and Banach spaces. In Handbook ofBanach Spaces 1 317-336. Elsevier, Amsterdam, NL. MR1863696
-
(2001)
Handbook of Banach Spaces
, vol.1
, pp. 317-336
-
-
Davidson, K.R.1
Szarek, S.J.2
-
11
-
-
33645712892
-
Compressed sensing
-
MR2241189
-
DONOHO, D. (2006). Compressed sensing. IEEE Trans. Info. Theory 52 1289-1306. MR2241189
-
(2006)
IEEE Trans. Info. Theory
, vol.52
, pp. 1289-1306
-
-
Donoho, D.1
-
12
-
-
62349123505
-
Operator norm consistent estimation of large-dimensional sparse co-variance matrices
-
EL KAROUI, N. (2008). Operator norm consistent estimation of large-dimensional sparse co-variance matrices. Ann. Statist. 36 2717-2756.
-
(2008)
Ann. Statist
, vol.36
, pp. 2717-2756
-
-
Karoui, E.L.N.1
-
13
-
-
0001436319
-
A limit theorem for the norm of random matrices
-
MR0566592
-
GEMAN, S. (1980). A limit theorem for the norm of random matrices. Ann. Probab. 8 252-261. MR0566592
-
(1980)
Ann. Probab
, vol.8
, pp. 252-261
-
-
Geman, S.1
-
14
-
-
0003498504
-
-
MR1773820 Academic Press, New York, NY
-
GRADSHTEYN, I. S. and RYZHIK, I. M. (2000). Tables of Integrals, Series, and Products. Academic Press, New York, NY. MR1773820
-
(2000)
Tables of Integrals, Series, and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
16
-
-
0009387419
-
A lower bound on the risks of nonparametric estimates of densities in the uniform metric
-
MR0516279
-
HAS'MINSKII, R. Z. (1978). A lower bound on the risks of nonparametric estimates of densities in the uniform metric. Theory Probab. Appl. 23 794-798. MR0516279
-
(1978)
Theory Probab. Appl
, vol.23
, pp. 794-798
-
-
Has'Minskii, R.Z.1
-
18
-
-
0004151494
-
-
Cambridge Univ. Press, New York, NY, MR1084815
-
H0RN, R.A. and JOHNSON, C. R. (1986). Matrix Analysis. Cambridge Univ. Press, New York, NY. MR1084815
-
(1986)
Matrix Analysis
-
-
Horn, R.A.1
Johnson, C.R.2
-
19
-
-
0346810958
-
Chi-square oracle inequalities
-
(M. de Gunst, C. Klaassen and A. van der Vaart, eds.), Institute of Mathematical Statistics, MR1836572
-
JOHNSTONE, I. M. (2001). Chi-square oracle inequalities. In State of the Art in Probability and Statistics IMS Lecture Notes 37 (M. de Gunst, C. Klaassen and A. van der Vaart, eds.) 399-418. Institute of Mathematical Statistics. MR1836572
-
(2001)
State of the Art in Probability and Statistics IMS Lecture Notes
, vol.37
, pp. 399-418
-
-
Johnstone, I.M.1
-
20
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
MR1863961
-
JOHNSTONE, I. M. (2001). On the distribution of the largest eigenvalue in principal components analysis. Ann. Statist. 29 295-327. MR1863961
-
(2001)
Ann. Statist
, vol.29
, pp. 295-327
-
-
Johnstone, I.M.1
-
23
-
-
0141941674
-
A modified principal component technique based on the LASSO
-
MR2002634
-
J0LLIFFE, I. T., TRENDAFIL0V, N. T. and UDDIN, M. (2003). A modified principal component technique based on the LASSO. J. Comput. Graph. Statist. 12 531-547. MR2002634
-
(2003)
J. Comput. Graph. Statist
, vol.12
, pp. 531-547
-
-
Jolliffe, I.T.1
Trendafilov, N.T.2
Uddin, M.3
-
24
-
-
0034287154
-
Adaptive estimation of a quadratic functional by model selection
-
MR1805785
-
LAURENT, B. and MASSART, P. (1998). Adaptive estimation of a quadratic functional by model selection. Ann. Statist. 28 1303-1338. MR1805785
-
(1998)
Ann. Statist
, vol.28
, pp. 1303-1338
-
-
Laurent, B.1
Massart, P.2
-
28
-
-
33747163541
-
High-dimensional graphs and variable selection with the Lasso
-
MR2278363
-
MEINSHAUSEN, N. and BUHLMANN, P. (2006). High-dimensional graphs and variable selection with the Lasso. Ann. Statist. 34 1436-1462. MR2278363
-
(2006)
Ann. Statist
, vol.34
, pp. 1436-1462
-
-
Meinshausen, N.1
Buhlmann, P.2
-
31
-
-
38549175880
-
Asymptotics of sample eigenstructure for a large-dimensional spiked covariance model
-
MR2399865
-
PAUL, D. (2007). Asymptotics of sample eigenstructure for a large-dimensional spiked covariance model. Statist. Sinica 17 1617-1642. MR2399865
-
(2007)
Statist. Sinica
, vol.17
, pp. 1617-1642
-
-
Paul, D.1
-
33
-
-
0004267646
-
-
Princeton Univ. Press, Princeton. MR0274683
-
ROCKAFELLAR, G. (1970). Convex Analysis. Princeton Univ. Press, Princeton. MR0274683
-
(1970)
Convex Analysis
-
-
Rockafellar, G.1
-
35
-
-
33645712308
-
Just relax: Convex programming methods for identifying sparse signals in noise
-
MR2238069
-
TROPP, J. (2006). Just relax: Convex programming methods for identifying sparse signals in noise. IEEE Trans. Inform. Theory 52 1030-1051. MR2238069
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, pp. 1030-1051
-
-
Tropp, J.1
-
36
-
-
84858736259
-
Sharp thresholds for high-dimensional and noisy recovery of sparsity using the Lasso
-
Technical Report 709, Dept. Statistics, UC Berkeley
-
WAINWRIGHT, M. J. (2006). Sharp thresholds for high-dimensional and noisy recovery of sparsity using the Lasso. In IEEE Trans. Inform. Theory. Technical Report 709, Dept. Statistics, UC Berkeley.
-
(2006)
IEEE Trans. Inform. Theory
-
-
Wainwright, M.J.1
-
37
-
-
51649127785
-
Information-theoretic bounds for sparsity recovery in the highdimensional and noisy setting
-
Technical Report 725, Dept. Statistics, UC Berkeley
-
WAINWRIGHT, M. J. (2007). Information-theoretic bounds for sparsity recovery in the highdimensional and noisy setting. In Int. Symposium on Information Theory. Technical Report 725, Dept. Statistics, UC Berkeley.
-
(2007)
Int. Symposium on Information Theory
-
-
Wainwright, M.J.1
-
38
-
-
0033233737
-
Information-theoretic determination of minimax rates of convergence
-
MR1742500
-
YANG, Y.andBARRON, A. (1999). Information-theoretic determination of minimax rates of convergence. Ann. Statist. 27 1564-1599. MR1742500
-
(1999)
Ann. Statist
, vol.27
, pp. 1564-1599
-
-
Yang, Y.1
Barron, A.2
-
39
-
-
33947115409
-
Model selection and estimation in the Gaussian graphical model
-
MR2367824
-
YUAN, M.andLIN, Y. (2007). Model selection and estimation in the Gaussian graphical model. Biometrika 94 19-35. MR2367824
-
(2007)
Biometrika
, vol.94
, pp. 19-35
-
-
Yuan, M.1
Lin, Y.2
-
40
-
-
0036018630
-
Low-rank approximations with sparse factors I: Basic algorithms and error analysis
-
ZHANG, Z., ZHA, H. and SIMON, H. (2002). Low-rank approximations with sparse factors I: Basic algorithms and error analysis. SIAM J. Matrix Anal. Appl. 23 706-727.
-
(2002)
SIAM J. Matrix Anal. Appl
, vol.23
, pp. 706-727
-
-
Zhang, Z.1
Zha, H.2
Simon, H.3
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