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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"

50 / 241 papers shown
Title
Communication-Efficient l_0 Penalized Least Square
Communication-Efficient l_0 Penalized Least Square
Chenqi Gong
Hu Yang
58
0
0
01 Apr 2025
Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries
Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries
Chris Kolb
T. Weber
Bernd Bischl
David Rügamer
109
0
0
04 Feb 2025
Sparse Linear Regression: Sequential Convex Relaxation, Robust
  Restricted Null Space Property, and Variable Selection
Sparse Linear Regression: Sequential Convex Relaxation, Robust Restricted Null Space Property, and Variable Selection
Shujun Bi
Yonghua Yang
S. Pan
27
0
0
02 Nov 2024
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning
Non-Asymptotic Uncertainty Quantification in High-Dimensional Learning
Frederik Hoppe
C. M. Verdun
Hannah Laus
Felix Krahmer
Holger Rauhut
UQCV
22
1
0
18 Jul 2024
Sparsity-Constraint Optimization via Splicing Iteration
Sparsity-Constraint Optimization via Splicing Iteration
Zezhi Wang
Jin Zhu
Junxian Zhu
Borui Tang
Hongmei Lin
Xueqin Wang
21
1
0
17 Jun 2024
FLIPHAT: Joint Differential Privacy for High Dimensional Sparse Linear
  Bandits
FLIPHAT: Joint Differential Privacy for High Dimensional Sparse Linear Bandits
Sunrit Chakraborty
Saptarshi Roy
Debabrota Basu
FedML
31
1
0
22 May 2024
In-Flight Estimation of Instrument Spectral Response Functions Using
  Sparse Representations
In-Flight Estimation of Instrument Spectral Response Functions Using Sparse Representations
Jihanne El Haouari
J. Gaucel
Christelle Pittet
J. Tourneret
H. Wendt
13
0
0
08 Apr 2024
On the Computational Complexity of Private High-dimensional Model
  Selection
On the Computational Complexity of Private High-dimensional Model Selection
Saptarshi Roy
Zehua Wang
Ambuj Tewari
22
0
0
11 Oct 2023
A Consistent and Scalable Algorithm for Best Subset Selection in Single
  Index Models
A Consistent and Scalable Algorithm for Best Subset Selection in Single Index Models
Borui Tang
Jin Zhu
Junxian Zhu
Xueqin Wang
Heping Zhang
11
0
0
12 Sep 2023
Less is More -- Towards parsimonious multi-task models using structured
  sparsity
Less is More -- Towards parsimonious multi-task models using structured sparsity
Richa Upadhyay
Ronald Phlypo
Rajkumar Saini
Marcus Liwicki
MoE
17
3
0
23 Aug 2023
Addressing Dynamic and Sparse Qualitative Data: A Hilbert Space
  Embedding of Categorical Variables
Addressing Dynamic and Sparse Qualitative Data: A Hilbert Space Embedding of Categorical Variables
Anirban Mukherjee
Hannah H. Chang
CML
18
0
0
22 Aug 2023
Best-Subset Selection in Generalized Linear Models: A Fast and
  Consistent Algorithm via Splicing Technique
Best-Subset Selection in Generalized Linear Models: A Fast and Consistent Algorithm via Splicing Technique
Junxian Zhu
Jin Zhu
Borui Tang
Xuan-qing Chen
Hongmei Lin
Xueqin Wang
11
2
0
01 Aug 2023
Average case analysis of Lasso under ultra-sparse conditions
Average case analysis of Lasso under ultra-sparse conditions
Koki Okajima
Xiangming Meng
Takashi Takahashi
Y. Kabashima
10
5
0
25 Feb 2023
Understanding Best Subset Selection: A Tale of Two C(omplex)ities
Understanding Best Subset Selection: A Tale of Two C(omplex)ities
Saptarshi Roy
Ambuj Tewari
Ziwei Zhu
10
0
0
16 Jan 2023
Uncertainty quantification for sparse Fourier recovery
Uncertainty quantification for sparse Fourier recovery
F. Hoppe
Felix Krahmer
C. M. Verdun
Marion I. Menzel
Holger Rauhut
27
7
0
30 Dec 2022
Thompson Sampling for High-Dimensional Sparse Linear Contextual Bandits
Thompson Sampling for High-Dimensional Sparse Linear Contextual Bandits
Sunrit Chakraborty
Saptarshi Roy
Ambuj Tewari
13
9
0
11 Nov 2022
Robust Methods for High-Dimensional Linear Learning
Robust Methods for High-Dimensional Linear Learning
Ibrahim Merad
Stéphane Gaïffas
OOD
43
3
0
10 Aug 2022
High Dimensional Generalised Penalised Least Squares
High Dimensional Generalised Penalised Least Squares
Ilias Chronopoulos
Katerina Chrysikou
G. Kapetanios
10
2
0
14 Jul 2022
Statistical Learning for Individualized Asset Allocation
Statistical Learning for Individualized Asset Allocation
Yi Ding
Yingying Li
Rui Song
22
0
0
20 Jan 2022
High-dimensional variable selection with heterogeneous signals: A
  precise asymptotic perspective
High-dimensional variable selection with heterogeneous signals: A precise asymptotic perspective
Saptarshi Roy
Ambuj Tewari
Ziwei Zhu
11
4
0
05 Jan 2022
Coordinate Descent for MCP/SCAD Penalized Least Squares Converges
  Linearly
Coordinate Descent for MCP/SCAD Penalized Least Squares Converges Linearly
Yuling Jiao
Dingwei Li
Min Liu
Xiliang Lu
36
0
0
18 Sep 2021
Culling the herd of moments with penalized empirical likelihood
Culling the herd of moments with penalized empirical likelihood
Jinyuan Chang
Zhentao Shi
Jia Zhang
33
4
0
07 Aug 2021
Inference for High Dimensional Censored Quantile Regression
Inference for High Dimensional Censored Quantile Regression
Z. Fei
Qi Zheng
H. Hong
Yi Li
8
15
0
22 Jul 2021
Chi-square and normal inference in high-dimensional multi-task
  regression
Chi-square and normal inference in high-dimensional multi-task regression
Pierre C. Bellec
Gabriel Romon
18
3
0
16 Jul 2021
Feature Grouping and Sparse Principal Component Analysis with Truncated
  Regularization
Feature Grouping and Sparse Principal Component Analysis with Truncated Regularization
Haiyan Jiang
Shanshan Qin
Oscar Hernan Madrid Padilla
17
2
0
25 Jun 2021
Transfer Learning under High-dimensional Generalized Linear Models
Transfer Learning under High-dimensional Generalized Linear Models
Ye Tian
Yang Feng
29
119
0
29 May 2021
A Splicing Approach to Best Subset of Groups Selection
A Splicing Approach to Best Subset of Groups Selection
Yanhang Zhang
Junxian Zhu
Jin Zhu
Xueqin Wang
18
18
0
23 Apr 2021
Grouped Variable Selection with Discrete Optimization: Computational and
  Statistical Perspectives
Grouped Variable Selection with Discrete Optimization: Computational and Statistical Perspectives
Hussein Hazimeh
Rahul Mazumder
P. Radchenko
29
27
0
14 Apr 2021
Inference for Low-rank Tensors -- No Need to Debias
Inference for Low-rank Tensors -- No Need to Debias
Dong Xia
Anru R. Zhang
Yuchen Zhou
29
18
0
29 Dec 2020
The Emerging Trends of Multi-Label Learning
The Emerging Trends of Multi-Label Learning
Weiwei Liu
Haobo Wang
Xiaobo Shen
Ivor W. Tsang
35
252
0
23 Nov 2020
A general theory of regression adjustment for covariate-adaptive
  randomization: OLS, Lasso, and beyond
A general theory of regression adjustment for covariate-adaptive randomization: OLS, Lasso, and beyond
Hanzhong Liu
Fuyi Tu
Wei Ma
CML
7
21
0
19 Nov 2020
Adaptive Estimation In High-Dimensional Additive Models With
  Multi-Resolution Group Lasso
Adaptive Estimation In High-Dimensional Additive Models With Multi-Resolution Group Lasso
Yi-Bo Yao
Cun-Hui Zhang
33
0
0
13 Nov 2020
A Feasible Level Proximal Point Method for Nonconvex Sparse Constrained
  Optimization
A Feasible Level Proximal Point Method for Nonconvex Sparse Constrained Optimization
Digvijay Boob
Qi Deng
Guanghui Lan
Yilin Wang
12
9
0
23 Oct 2020
Consistent Feature Selection for Analytic Deep Neural Networks
Consistent Feature Selection for Analytic Deep Neural Networks
Vu C. Dinh
L. Ho
FAtt
8
37
0
16 Oct 2020
Variational approximations of empirical Bayes posteriors in
  high-dimensional linear models
Variational approximations of empirical Bayes posteriors in high-dimensional linear models
Yue Yang
Ryan Martin
22
7
0
31 Jul 2020
Lasso Inference for High-Dimensional Time Series
Lasso Inference for High-Dimensional Time Series
R. Adámek
Stephan Smeekes
Ines Wilms
AI4TS
26
33
0
21 Jul 2020
Sapphire: Automatic Configuration Recommendation for Distributed Storage
  Systems
Sapphire: Automatic Configuration Recommendation for Distributed Storage Systems
Wenhao Lyu
Youyou Lu
J. Shu
Wei Zhao
16
7
0
07 Jul 2020
$\ell_0$-Regularized High-dimensional Accelerated Failure Time Model
ℓ0\ell_0ℓ0​-Regularized High-dimensional Accelerated Failure Time Model
Xingdong Feng
Jian Huang
Yuling Jiao
Shuang Zhang
11
0
0
09 Feb 2020
De-biasing convex regularized estimators and interval estimation in
  linear models
De-biasing convex regularized estimators and interval estimation in linear models
Pierre C. Bellec
Cun-Hui Zhang
21
20
0
26 Dec 2019
Distributed Machine Learning with Sparse Heterogeneous Data
Distributed Machine Learning with Sparse Heterogeneous Data
Dominic Richards
S. Negahban
Patrick Rebeschini
FedML
10
6
0
03 Dec 2019
Sparse recovery via nonconvex regularized $M$-estimators over
  $\ell_q$-balls
Sparse recovery via nonconvex regularized MMM-estimators over ℓq\ell_qℓq​-balls
Xin Li
Dongya Wu
Chong Li
Jinhua Wang
J. Yao
FedML
21
4
0
19 Nov 2019
Sparse estimation via $\ell_q$ optimization method in high-dimensional
  linear regression
Sparse estimation via ℓq\ell_qℓq​ optimization method in high-dimensional linear regression
X. Li
Yaohua Hu
Chong Li
Xiaoqi Yang
T. Jiang
14
0
0
12 Nov 2019
A Survey of Tuning Parameter Selection for High-dimensional Regression
A Survey of Tuning Parameter Selection for High-dimensional Regression
Y. Wu
Lan Wang
39
35
0
10 Aug 2019
Bayesian Automatic Relevance Determination for Utility Function
  Specification in Discrete Choice Models
Bayesian Automatic Relevance Determination for Utility Function Specification in Discrete Choice Models
Filipe Rodrigues
Nicola Ortelli
M. Bierlaire
Francisco Câmara Pereira
17
17
0
10 Jun 2019
Vector-Valued Graph Trend Filtering with Non-Convex Penalties
Vector-Valued Graph Trend Filtering with Non-Convex Penalties
R. Varma
Harlin Lee
J. Kovacevic
Yuejie Chi
8
33
0
29 May 2019
Integrated conditional moment test and beyond: when the number of
  covariates is divergent
Integrated conditional moment test and beyond: when the number of covariates is divergent
Falong Tan
Lixing Zhu
18
7
0
20 May 2019
Feature Selection for Data Integration with Mixed Multi-view Data
Feature Selection for Data Integration with Mixed Multi-view Data
Yulia Baker
Tiffany M. Tang
Genevera I. Allen
9
15
0
27 Mar 2019
Optimal Linear Discriminators For The Discrete Choice Model In Growing
  Dimensions
Optimal Linear Discriminators For The Discrete Choice Model In Growing Dimensions
Debarghya Mukherjee
Moulinath Banerjee
Yaácov Ritov
15
8
0
24 Mar 2019
Bayesian Factor-adjusted Sparse Regression
Bayesian Factor-adjusted Sparse Regression
Jianqing Fan
Bai Jiang
Qiang Sun
27
5
0
23 Mar 2019
High-Dimensional Bernoulli Autoregressive Process with Long-Range
  Dependence
High-Dimensional Bernoulli Autoregressive Process with Long-Range Dependence
Parthe Pandit
Mojtaba Sahraee-Ardakan
Arash A. Amini
S. Rangan
A. Fletcher
21
0
0
19 Mar 2019
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