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The sparsity and bias of the Lasso selection in high-dimensional linear
  regression

The sparsity and bias of the Lasso selection in high-dimensional linear regression

7 August 2008
Cun-Hui Zhang
Jian Huang
ArXivPDFHTML

Papers citing "The sparsity and bias of the Lasso selection in high-dimensional linear regression"

41 / 241 papers shown
Title
Exponential Screening and optimal rates of sparse estimation
Exponential Screening and optimal rates of sparse estimation
Philippe Rigollet
Alexandre B. Tsybakov
56
241
0
12 Mar 2010
Mirror averaging with sparsity priors
Mirror averaging with sparsity priors
A. Dalalyan
Alexandre B. Tsybakov
102
59
0
05 Mar 2010
Estimation for High-Dimensional Linear Mixed-Effects Models Using
  $\ell_1$-Penalization
Estimation for High-Dimensional Linear Mixed-Effects Models Using ℓ1\ell_1ℓ1​-Penalization
Jürg Schelldorfer
Peter Buhlmann
S. De Geer
43
173
0
19 Feb 2010
Thresholded Lasso for high dimensional variable selection and
  statistical estimation
Thresholded Lasso for high dimensional variable selection and statistical estimation
Shuheng Zhou
110
50
0
08 Feb 2010
The adaptive and the thresholded Lasso for potentially misspecified
  models
The adaptive and the thresholded Lasso for potentially misspecified models
Sara van de Geer
Peter Buhlmann
Shuheng Zhou
116
3
0
28 Jan 2010
Least squares after model selection in high-dimensional sparse models
Least squares after model selection in high-dimensional sparse models
A. Belloni
Victor Chernozhukov
111
220
0
31 Dec 2009
An Iterative Algorithm for Fitting Nonconvex Penalized Generalized
  Linear Models with Grouped Predictors
An Iterative Algorithm for Fitting Nonconvex Penalized Generalized Linear Models with Grouped Predictors
Yiyuan She
82
0
0
29 Nov 2009
Minimax rates of estimation for high-dimensional linear regression over
  $\ell_q$-balls
Minimax rates of estimation for high-dimensional linear regression over ℓq\ell_qℓq​-balls
Garvesh Raskutti
Martin J. Wainwright
Bin Yu
48
572
0
11 Oct 2009
A Selective Overview of Variable Selection in High Dimensional Feature
  Space (Invited Review Article)
A Selective Overview of Variable Selection in High Dimensional Feature Space (Invited Review Article)
Jianqing Fan
Jinchi Lv
101
905
0
06 Oct 2009
Non-Concave Penalized Likelihood with NP-Dimensionality
Non-Concave Penalized Likelihood with NP-Dimensionality
Jianqing Fan
Jinchi Lv
74
401
0
06 Oct 2009
On the conditions used to prove oracle results for the Lasso
On the conditions used to prove oracle results for the Lasso
Sara van de Geer
Peter Buhlmann
72
728
0
05 Oct 2009
Some sharp performance bounds for least squares regression with $L_1$
  regularization
Some sharp performance bounds for least squares regression with L1L_1L1​ regularization
Tong Zhang
92
267
0
20 Aug 2009
Adaptive Dantzig density estimation
Adaptive Dantzig density estimation
Karine Bertin
E. L. Pennec
Vincent Rivoirard
114
45
0
06 May 2009
L1-Penalized Quantile Regression in High-Dimensional Sparse Models
L1-Penalized Quantile Regression in High-Dimensional Sparse Models
A. Belloni
Victor Chernozhukov
88
455
0
19 Apr 2009
SCAD-penalized regression in high-dimensional partially linear models
SCAD-penalized regression in high-dimensional partially linear models
Huiliang Xie
Jian Huang
78
200
0
31 Mar 2009
Sparse Regression Learning by Aggregation and Langevin Monte-Carlo
Sparse Regression Learning by Aggregation and Langevin Monte-Carlo
A. Dalalyan
Alexandre B. Tsybakov
99
178
0
06 Mar 2009
Model-Consistent Sparse Estimation through the Bootstrap
Model-Consistent Sparse Estimation through the Bootstrap
Francis R. Bach
60
32
0
21 Jan 2009
SPADES and mixture models
SPADES and mixture models
F. Bunea
Alexandre B. Tsybakov
M. Wegkamp
Adrian Barbu
92
63
0
14 Jan 2009
Thresholding-based Iterative Selection Procedures for Model Selection
  and Shrinkage
Thresholding-based Iterative Selection Procedures for Model Selection and Shrinkage
Yiyuan She
64
156
0
30 Dec 2008
Ultrahigh dimensional variable selection: beyond the linear model
Ultrahigh dimensional variable selection: beyond the linear model
Jianqing Fan
Richard Samworth
Yichao Wu
51
52
0
17 Dec 2008
Sparse recovery under matrix uncertainty
Sparse recovery under matrix uncertainty
M. Rosenbaum
Alexandre B. Tsybakov
86
166
0
15 Dec 2008
High-dimensional stochastic optimization with the generalized Dantzig
  estimator
High-dimensional stochastic optimization with the generalized Dantzig estimator
Karim Lounici
84
5
0
14 Nov 2008
P-values for high-dimensional regression
P-values for high-dimensional regression
N. Meinshausen
L. Meier
Peter Buhlmann
69
439
0
13 Nov 2008
Some Two-Step Procedures for Variable Selection in High-Dimensional
  Linear Regression
Some Two-Step Procedures for Variable Selection in High-Dimensional Linear Regression
Jian Zhang
Xinge Jessie Jeng
Han Liu
83
12
0
09 Oct 2008
High-dimensional Gaussian model selection on a Gaussian design
High-dimensional Gaussian model selection on a Gaussian design
Nicolas Verzélen
55
15
0
15 Aug 2008
Rejoinder: One-step sparse estimates in nonconcave penalized likelihood
  models
Rejoinder: One-step sparse estimates in nonconcave penalized likelihood models
H. Zou
Runze Li
92
1,223
0
07 Aug 2008
Discussion: One-step sparse estimates in nonconcave penalized likelihood
  models
Discussion: One-step sparse estimates in nonconcave penalized likelihood models
Cun-Hui Zhang
69
61
0
07 Aug 2008
Discussion: One-step sparse estimates in nonconcave penalized likelihood
  models: Who cares if it is a white cat or a black Cat?
Discussion: One-step sparse estimates in nonconcave penalized likelihood models: Who cares if it is a white cat or a black Cat?
X. Meng
96
6
0
07 Aug 2008
Discussion: One-step sparse estimates in nonconcave penalized likelihood
  models
Discussion: One-step sparse estimates in nonconcave penalized likelihood models
Peter Buhlmann
L. Meier
93
39
0
07 Aug 2008
High-dimensional additive modeling
High-dimensional additive modeling
L. Meier
Sara van de Geer
Peter Buhlmann
184
482
0
25 Jun 2008
Lasso-type recovery of sparse representations for high-dimensional data
Lasso-type recovery of sparse representations for high-dimensional data
N. Meinshausen
Bin Yu
84
876
0
01 Jun 2008
High-dimensional generalized linear models and the lasso
High-dimensional generalized linear models and the lasso
Sara van de Geer
189
750
0
04 Apr 2008
Discussion: The Dantzig selector: Statistical estimation when $p$ is
  much larger than $n$
Discussion: The Dantzig selector: Statistical estimation when ppp is much larger than nnn
B. Efron
Trevor Hastie
Robert Tibshirani
146
90
0
21 Mar 2008
Aggregation by exponential weighting, sharp PAC-Bayesian bounds and
  sparsity
Aggregation by exponential weighting, sharp PAC-Bayesian bounds and sparsity
A. Dalalyan
Alexandre B. Tsybakov
97
176
0
19 Mar 2008
Regularization with the Smooth-Lasso procedure
Regularization with the Smooth-Lasso procedure
Mohamed Hebiri
70
25
0
05 Mar 2008
Least angle and $\ell_1$ penalized regression: A review
Least angle and ℓ1\ell_1ℓ1​ penalized regression: A review
Tim Hesterberg
Nam-Hee Choi
L. Meier
C. Fraley
121
299
0
07 Feb 2008
Sup-norm convergence rate and sign concentration property of Lasso and
  Dantzig estimators
Sup-norm convergence rate and sign concentration property of Lasso and Dantzig estimators
Karim Lounici
136
239
0
30 Jan 2008
Hierarchical selection of variables in sparse high-dimensional
  regression
Hierarchical selection of variables in sparse high-dimensional regression
Peter J. Bickel
Yaácov Ritov
Alexandre B. Tsybakov
149
38
0
08 Jan 2008
Simultaneous analysis of Lasso and Dantzig selector
Simultaneous analysis of Lasso and Dantzig selector
Peter J. Bickel
Yaácov Ritov
Alexandre B. Tsybakov
105
2,515
0
07 Jan 2008
Smoothing $\ell_1$-penalized estimators for high-dimensional time-course
  data
Smoothing ℓ1\ell_1ℓ1​-penalized estimators for high-dimensional time-course data
L. Meier
Peter Buhlmann
AI4TS
82
25
0
11 Dec 2007
Goodness-of-fit Tests for high-dimensional Gaussian linear models
Goodness-of-fit Tests for high-dimensional Gaussian linear models
Nicolas Verzélen
Fanny Villers
98
34
0
14 Nov 2007
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