-
1
-
-
69049101180
-
High-dimensional analysis of semidefinite relaxations for sparse principal components
-
MR2541450
-
AMINI, A. A. and WAINWRIGHT, M. J. (2009). High-dimensional analysis of semidefinite relaxations for sparse principal components. Ann. Statist. 37 2877-2921. MR2541450.
-
(2009)
Ann. Statist.
, vol.37
, pp. 2877-2921
-
-
Amini, A.A.1
Wainwright, M.J.2
-
2
-
-
0001699986
-
Asymptotic theory for principal component analysis
-
MR0145620
-
ANDERSON, T. W. (1963). Asymptotic theory for principal component analysis. Ann. Math. Statist. 34 122-148. MR0145620.
-
(1963)
Ann. Math. Statist.
, vol.34
, pp. 122-148
-
-
Anderson, T.W.1
-
3
-
-
34548514458
-
A direct formulation for sparse pca using semidefinite programming
-
(electronic), MR2353806
-
D'ASPREMONT, A., EL GHAOUI, L., JORDAN, M. I. and LANCKRIET, G. R. G. (2007). A direct formulation for sparse PCA using semidefinite programming. SIAM Rev. 49 434- 448 (electronic). 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
-
4
-
-
0014751986
-
The rotation of eigenvectors by a perturbation, III
-
MR0264450
-
DAVIS, C. and KAHAN, W. M. (1970). The rotation of eigenvectors by a perturbation. III. SIAM J. Numer. Anal. 7 1-46. MR0264450.
-
(1970)
SIAM J. Numer. Anal.
, vol.7
, pp. 1-46
-
-
Davis, C.1
Kahan, W.M.2
-
5
-
-
0027873602
-
Unconditional bases are optimal bases for data compression and for statistical estimation
-
MR1256530
-
DONOHO, D. L. (1993). Unconditional bases are optimal bases for data compression and for statistical estimation. Appl. Comput. Harmon. Anal. 1 100-115. MR1256530.
-
(1993)
Appl. Comput. Harmon. Anal.
, vol.1
, pp. 100-115
-
-
Donoho, D.L.1
-
6
-
-
1542784498
-
Variable selection via nonconcave penalized likelihood and its oracle properties
-
MR1946581
-
FAN, J. and LI, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. J. Amer. Statist. Assoc. 96 1348-1360. MR1946581.
-
(2001)
J. Amer. Statist. Assoc.
, vol.96
, pp. 1348-1360
-
-
Fan, J.1
Li, R.2
-
7
-
-
0004236492
-
-
3rd ed. Johns Hopkins Univ. Press, Baltimore, MD. MR1417720
-
GOLUB, G. H. and VAN LOAN, C. F. (1996). Matrix Computations, 3rd ed. Johns Hopkins Univ. Press, Baltimore, MD. MR1417720.
-
(1996)
Matrix Computations
-
-
Golub, G.H.1
Van Loan, C.F.2
-
8
-
-
58149421595
-
Analysis of a complex of statistical variables into principal components
-
498-520
-
HOTELLING, H. (1933). Analysis of a complex of statistical variables into principal components. J. Educ. Psychol. 24 417-441, 498-520.
-
(1933)
J. Educ. Psychol.
, vol.24
, pp. 417-441
-
-
Hotelling, H.1
-
9
-
-
42749102750
-
Principal-component-analysis eigenvalue spectra from data with symmetry-breaking structure
-
HOYLE, D. C. and RATTRAY, M. (2004). Principal-component-analysis eigenvalue spectra from data with symmetry-breaking structure. Phys. Rev. E (3) 69 026124.
-
(2004)
Phys. Rev. E
, vol.69
, Issue.3
, pp. 026124
-
-
Hoyle, D.C.1
Rattray, M.2
-
10
-
-
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
-
11
-
-
66549088006
-
On consistency and sparsity for principal components analysis in high dimensions
-
MR2751448
-
JOHNSTONE, I. M. and LU, A. Y. (2009). On consistency and sparsity for principal components analysis in high dimensions. J. Amer. Statist. Assoc. 104 682-693. MR2751448.
-
(2009)
J. Amer. Statist. Assoc.
, vol.104
, pp. 682-693
-
-
Johnstone, I.M.1
Lu, A.Y.2
-
12
-
-
0141941674
-
A modified principal component technique based on the lasso
-
MR2002634
-
JOLLIFFE, I. T., TRENDAFILOV, 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
-
13
-
-
70249103304
-
Pca consistency in high dimension, low sample size context
-
MR2572454
-
JUNG, S. and MARRON, J. S. (2009). PCA consistency in high dimension, low sample size context. Ann. Statist. 37 4104-4130. MR2572454.
-
(2009)
Ann. Statist.
, vol.37
, pp. 4104-4130
-
-
Jung, S.1
Marron, J.S.2
-
17
-
-
62349121558
-
Finite sample approximation results for principal component analysis: A matrix perturbation approach
-
MR2485013
-
NADLER, B. (2008). Finite sample approximation results for principal component analysis: A matrix perturbation approach. Ann. Statist. 36 2791-2817. MR2485013.
-
(2008)
Ann. Statist.
, vol.36
, pp. 2791-2817
-
-
Nadler, B.1
-
18
-
-
66549085511
-
On consistency and sparsity for principal components analysis in high dimensions
-
Discussion of, by I. M. Johnstone and A. Y. Lu., MR2751449
-
NADLER, B. (2009). Discussion of "On consistency and sparsity for principal components analysis in high dimensions, " by I. M. Johnstone and A. Y. Lu. J. Amer. Statist. Assoc. 104 694-697. MR2751449.
-
(2009)
J. Amer. Statist. Assoc.
, vol.104
, pp. 694-697
-
-
Nadler, B.1
-
19
-
-
84860588430
-
Asymptotics of the principal components estimator of large factor models with weakly influential factors
-
MR2923766
-
ONATSKI, A. (2012). Asymptotics of the principal components estimator of large factor models with weakly influential factors. J. Econometrics 168 244-258. MR2923766.
-
(2012)
J. Econometrics
, vol.168
, pp. 244-258
-
-
Onatski, A.1
-
21
-
-
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
-
23
-
-
0000325341
-
On lines and planes of closest fit to systems of points in space
-
PEARSON, K. (1901). On lines and planes of closest fit to systems of points in space. Philos. Mag. Ser. 6 2 559-572.
-
(1901)
Philos. Mag. Ser.
, vol.6
, Issue.2
, pp. 559-572
-
-
Pearson, K.1
-
25
-
-
0012958376
-
A gaussian scenario for unsupervised learning
-
REIMANN, P., VAN DEN BROECK, C. and BEX, G. J. (1996). A Gaussian scenario for unsupervised learning. J. Phys. A 29 3521-3535.
-
(1996)
J. Phys. A
, vol.29
, pp. 3521-3535
-
-
Reimann, P.1
Van Den Broeck, C.2
Bex, G.J.3
-
27
-
-
43049086717
-
Sparse principal component analysis via regularized low rank matrix approximation
-
MR2419336
-
SHEN, H. and HUANG, J. Z. (2008). Sparse principal component analysis via regularized low rank matrix approximation. J. Multivariate Anal. 99 1015-1034. MR2419336.
-
(2008)
J. Multivariate Anal.
, vol.99
, pp. 1015-1034
-
-
Shen, H.1
Huang, J.Z.2
-
30
-
-
77951130963
-
Sparse variable pca using geodesic steepest descent
-
MR2518261
-
ULFARSSON, M. O. and SOLO, V. (2008). Sparse variable PCA using geodesic steepest descent. IEEE Trans. Signal Process. 56 5823-5832. MR2518261.
-
(2008)
IEEE Trans. Signal Process.
, vol.56
, pp. 5823-5832
-
-
Ulfarsson, M.O.1
Solo, V.2
-
32
-
-
0021892197
-
Detection of signals by information theoretic criteria
-
MR0788604
-
WAX, M. and KAILATH, T. (1985). Detection of signals by information theoretic criteria. IEEE Trans. Acoust. Speech Signal Process. 33 387-392. MR0788604.
-
(1985)
IEEE Trans. Acoust. Speech Signal Process
, vol.33
, pp. 387-392
-
-
Wax, M.1
Kailath, T.2
-
33
-
-
0002790288
-
Perturbation bounds in connection with singular value decomposition
-
MR0309968
-
WEDIN, P.-Å. (1972). Perturbation bounds in connection with singular value decomposition. Nordisk Tidskr. Informationsbehandling (BIT) 12 99-111. MR0309968.
-
(1972)
Nordisk Tidskr, Informationsbehandling (BIT)
, vol.12
, pp. 99-111
-
-
Wedin, P.-Å.1
-
34
-
-
70149096300
-
A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis
-
WITTEN, D. M., TIBSHIRANI, R. and HASTIE, T. (2009). A penalized matrix decomposition, with applications to sparse principal components and canonical correlation analysis. Biostatistics 10 515-534.
-
(2009)
Biostatistics
, vol.10
, pp. 515-534
-
-
Witten, D.M.1
Tibshirani, R.2
Hastie, T.3
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