-
1
-
-
77952829668
-
Variable selection in high-dimensional linear models: Partially faithful distributions and the PC-simple algorith
-
P. Bühlmann, M. Kalisch, and M. H. Maathuis. Variable selection in high-dimensional linear models: Partially faithful distributions and the PC-simple algorith. Biometrika, 97:261-278, 2009.
-
(2009)
Biometrika
, vol.97
, pp. 261-278
-
-
Bühlmann, P.1
Kalisch, M.2
Maathuis, M.H.3
-
2
-
-
77955509952
-
Shifting inequality and recovery of sparse signals
-
T. Cai, L. Wang, and G. Xu. Shifting inequality and recovery of sparse signals. IEEE Transactions on Signal Processing, 59(3):1300-1308, 2010.
-
(2010)
IEEE Transactions on Signal Processing
, vol.59
, Issue.3
, pp. 1300-1308
-
-
Cai, T.1
Wang, L.2
Xu, G.3
-
3
-
-
69049120308
-
Near-ideal model selection by l1 minimization
-
E. J. Candès and Y. Plan. Near-ideal model selection by l1 minimization. The Annals of Statistics, 37:2145-2177, 2009.
-
(2009)
The Annals of Statistics
, vol.37
, pp. 2145-2177
-
-
Candès, E.J.1
Plan, Y.2
-
4
-
-
34548275795
-
The Dantzig selector: Statistical estimation when p is much larger than n
-
E. J. Candés and T. Tao. The Dantzig selector: Statistical estimation when p is much larger than n. The Annals of Statistics, 35:2313-2351, 2007.
-
(2007)
The Annals of Statistics
, vol.35
, pp. 2313-2351
-
-
Candés, E.J.1
Tao, T.2
-
5
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
PII S1064827596304010
-
S. Chen, D. Donoho, and M. Saunders. Atomic decomposition by basis pursuit. SIAM Journal on Scientific Computing, 20(1):33-61, 1998. (Pubitemid 128689501)
-
(1998)
SIAM Journal of Scientific Computing
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
6
-
-
33744552752
-
For most large underdetermined systems of equations, the minimal l1-norm nearsolution approximates the sparsest near-solution
-
D. 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, 2006.
-
(2006)
Communications on Pure and Applied Mathematics
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.1
-
7
-
-
0037418225
-
Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization
-
DOI 10.1073/pnas.0437847100
-
D. Donoho and M. Elad. Optimally sparse representation in general (nonorthogonal) dictionaries via l1 minimization. Proceedings of the National Academy of Sciences of the United States of America, 100(5):2197-2202, 2003. (Pubitemid 36297476)
-
(2003)
Proceedings of the National Academy of Sciences of the United States of America
, vol.100
, Issue.5
, pp. 2197-2202
-
-
Donoho, D.L.1
Elad, M.2
-
8
-
-
0035504028
-
Uncertainty principles and ideal atomic decomposition
-
DOI 10.1109/18.959265, PII S0018944801089465
-
D. Donoho and X. Huo. Uncertainty principles and ideal atomic decomposition. IEEE Transactions on Information Theory, 47(7):2845-2862, 2001. (Pubitemid 33053488)
-
(2001)
IEEE Transactions on Information Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.L.1
Huo, X.2
-
9
-
-
23744475601
-
Higher criticism for detecting sparse heterogeneous mixtures
-
DOI 10.1214/009053604000000265
-
D. Donoho and J. Jin. Higher criticism for detecting sparse heterogeneous mixtures. The Annals of Statistics, 32(3):962-994, 2004. (Pubitemid 41250290)
-
(2004)
Annals of Statistics
, vol.32
, Issue.3
, pp. 962-994
-
-
Donoho, D.1
Jin, J.2
-
10
-
-
1542784653
-
Empirical Bayes Analysis of a Microarray Experiment
-
B. Efron, R. Tibshirani, J. Storey, and V. Tusher. Empirical Bayes analysis of a microarray experiment. Journal of the American Statistical Association, 96:1151-1160, 2001. (Pubitemid 33695570)
-
(2001)
Journal of the American Statistical Association
, vol.96
, Issue.456
, pp. 1151-1160
-
-
Efron, B.1
Tibshirani, R.2
Storey, J.D.3
Tusher, V.4
-
11
-
-
3242708140
-
Least angle regression
-
DOI 10.1214/009053604000000067
-
B. Efron, T. Hastie, I. Johnstone, and R. Tibshirani. Least angle regression. The Annals of Statistics, 32(2):407-499, 2004. (Pubitemid 41250302)
-
(2004)
Annals of Statistics
, vol.32
, Issue.2
, pp. 407-499
-
-
Efron, B.1
Hastie, T.2
Johnstone, I.3
Tibshirani, R.4
Ishwaran, H.5
Knight, K.6
Loubes, J.-M.7
Massart, P.8
Madigan, D.9
Ridgeway, G.10
Rosset, S.11
Zhu, J.I.12
Stine, R.A.13
Turlach, B.A.14
Weisberg, S.15
Hastie, T.16
Johnstone, I.17
Tibshirani, R.18
-
13
-
-
26844461512
-
Recovery of exact sparse representations in the presence of bounded noise
-
DOI 10.1109/TIT.2005.855614
-
J.J. Fuchs. Recovery of exact sparse representations in the presence of noise. IEEE Transactions on Information Theory, 51(10):3601-3608, 2005. (Pubitemid 41448600)
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.10
, pp. 3601-3608
-
-
Fuchs, J.J.1
-
14
-
-
84864946789
-
UPS delivers optimal phase diagram in high dimensional variable selection
-
P. Ji and J. Jin. UPS delivers optimal phase diagram in high dimensional variable selection. The Annals of Statistics, 40(1):73-103, 2012.
-
(2012)
The Annals of Statistics
, vol.40
, Issue.1
, pp. 73-103
-
-
Ji, P.1
Jin, J.2
-
15
-
-
42149164809
-
Proportion of nonzero normal means: Oracle equivalence and uniformly consistent estimators
-
J. Jin. Proportion of nonzero normal means: Oracle equivalence and uniformly consistent estimators. Journal of the Royal Statistical Society: Series B (StatisticalMethodology), 70(3):461-493, 2007.
-
(2007)
Journal of the Royal Statistical Society: Series B (StatisticalMethodology
, vol.70
, Issue.3
, pp. 461-493
-
-
Jin, J.1
-
16
-
-
0034287156
-
Asymptotics for lasso-type estimators
-
DOI 10.1214/aos/1015957397
-
K. Knight and W. J. Fu. Asymptotics for lasso-type estimators. The Annals of Statistics, 28:1356-1378, 2000. (Pubitemid 33244917)
-
(2000)
Annals of Statistics
, vol.28
, Issue.5
, pp. 1356-1378
-
-
Knight, K.1
Fu, W.2
-
17
-
-
33747163541
-
High-dimensional graphs and variable selection with the Lasso
-
DOI 10.1214/009053606000000281
-
N. Meinshausen and P. Bühlmann. High-dimensional graphs and variable selection with the lasso. The Annals of Statistics, 34(3):1436-1462, 2006. (Pubitemid 44231168)
-
(2006)
Annals of Statistics
, vol.34
, Issue.3
, pp. 1436-1462
-
-
Meinshausen, N.1
Buhlmann, P.2
-
18
-
-
27944433393
-
Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses
-
DOI 10.1214/009053605000000741
-
N. Meinshausen and J. Rice. Estimating the proportion of false null hypotheses among a large number of independently tested hypotheses. The Annals of Statistics, 34(1):373-393, 2006. (Pubitemid 43836805)
-
(2006)
Annals of Statistics
, vol.34
, Issue.1
, pp. 373-393
-
-
Meinshausen, N.1
Rice, J.2
-
20
-
-
3843131653
-
Uniform consistency in causal inference
-
DOI 10.1093/biomet/90.3.491
-
J. M. Robins, R. Scheines, P. Spirtes, and L. Wasserman. Uniform consistency in causal inference. Biometrika, 90(3):491-515, 2003. (Pubitemid 39047137)
-
(2003)
Biometrika
, vol.90
, Issue.3
, pp. 491-515
-
-
Robins, J.M.1
Scheines, R.2
Spirtes, P.3
Wasserman, L.4
-
22
-
-
0003614273
-
-
Springer-Verlag, NY
-
P. Spirtes, C. Glymour, and R. Scheines. Causation, Prediction, and Search (Lecture Notes in Statistics). Springer-Verlag, NY, 1993.
-
(1993)
Causation, Prediction, and Search (Lecture Notes in Statistics
-
-
Spirtes, P.1
Glymour, C.2
Scheines, R.3
-
25
-
-
5444237123
-
Greed is good: Algorithic results for sparse approximation
-
J. Tropp. Greed is good: Algorithic results for sparse approximation. IEEE Transactions on Information Theory, 50(10):2231-2242, 2004.
-
(2004)
IEEE Transactions on Information Theory
, vol.50
, Issue.10
, pp. 2231-2242
-
-
Tropp, J.1
-
26
-
-
79952433487
-
-
Lecture notes Department of Mathematics University of Michigan, Available electronically via
-
R. Vershynin. Introduction to the Non-asymptotic Analysis of Random Matrices. Lecture notes, Department of Mathematics, University of Michigan, 2010. Available electronically via wwwpersonal. umich.edu/eromanv/teaching/2006- 07/280/course.html.
-
(2010)
Introduction to the Non-asymptotic Analysis of Random Matrices
-
-
Vershynin, R.1
-
29
-
-
69049091975
-
High-dimensional variable selection
-
L. Wasserman and K. Roeder. High-dimensional variable selection. The Annals of Statistics, 37(5): 2178-2201, 2009.
-
(2009)
The Annals of Statistics
, vol.37
, Issue.5
, pp. 2178-2201
-
-
Wasserman, L.1
Roeder, K.2
-
30
-
-
33845263263
-
On model selection consistency of Lasso
-
P. Zhao and B. Yu. On model selection consistency of lasso. Journal ofMachine Learning Research, 7:2541-2563, 2006. (Pubitemid 44866738)
-
(2006)
Journal of Machine Learning Research
, vol.7
, pp. 2541-2563
-
-
Zhao, P.1
Yu, B.2
-
31
-
-
33846114377
-
The adaptive lasso and its oracle properties
-
H. Zou. The adaptive lasso and its oracle properties. Journal of the American Statistical Association, 101(476):1418-1429, 2006.
-
(2006)
Journal of the American Statistical Association
, vol.101
, Issue.476
, pp. 1418-1429
-
-
Zou, H.1
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