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Optimal rates of convergence for covariance matrix estimation

Optimal rates of convergence for covariance matrix estimation

19 October 2010
Tommaso Cai
Cun-Hui Zhang
Harrison H. Zhou
ArXivPDFHTML

Papers citing "Optimal rates of convergence for covariance matrix estimation"

42 / 92 papers shown
Title
Differentially Private High Dimensional Sparse Covariance Matrix
  Estimation
Differentially Private High Dimensional Sparse Covariance Matrix Estimation
Di Wang
Jinhui Xu
22
10
0
18 Jan 2019
Optimal covariance matrix estimation for high-dimensional noise in
  high-frequency data
Optimal covariance matrix estimation for high-dimensional noise in high-frequency data
Jinyuan Chang
Qiao Hu
Cheng Liu
C. Tang
20
8
0
19 Dec 2018
Adaptive Non-parametric Estimation of Mean and Autocovariance in
  Regression with Dependent Errors
Adaptive Non-parametric Estimation of Mean and Autocovariance in Regression with Dependent Errors
Tatyana Krivobokova
Paulo Serra
Francisco Rosales
Karolina Klockmann
26
2
0
17 Dec 2018
Distributed Inference for Linear Support Vector Machine
Distributed Inference for Linear Support Vector Machine
Xiaozhou Wang
Zhuoyi Yang
Xi Chen
Weidong Liu
16
64
0
29 Nov 2018
First-order Newton-type Estimator for Distributed Estimation and
  Inference
First-order Newton-type Estimator for Distributed Estimation and Inference
Xi Chen
Weidong Liu
Yichen Zhang
30
48
0
28 Nov 2018
Quantile Regression Under Memory Constraint
Quantile Regression Under Memory Constraint
Xi Chen
Weidong Liu
Yichen Zhang
11
114
0
18 Oct 2018
A Survey on Nonconvex Regularization Based Sparse and Low-Rank Recovery
  in Signal Processing, Statistics, and Machine Learning
A Survey on Nonconvex Regularization Based Sparse and Low-Rank Recovery in Signal Processing, Statistics, and Machine Learning
Fei Wen
L. Chu
Peilin Liu
Robert C. Qiu
23
153
0
16 Aug 2018
Finite sample change point inference and identification for
  high-dimensional mean vectors
Finite sample change point inference and identification for high-dimensional mean vectors
Mengjia Yu
Xiaohui Chen
29
37
0
23 Nov 2017
An Expectation Conditional Maximization approach for Gaussian graphical
  models
An Expectation Conditional Maximization approach for Gaussian graphical models
Z. Li
Tyler H. McCormick
23
26
0
20 Sep 2017
Embracing the Blessing of Dimensionality in Factor Models
Embracing the Blessing of Dimensionality in Factor Models
Quefeng Li
Guang Cheng
Jianqing Fan
Yuyan Wang
27
34
0
25 Oct 2016
Graph-Guided Banding of the Covariance Matrix
Graph-Guided Banding of the Covariance Matrix
Jacob Bien
11
6
0
01 Jun 2016
Sub-Gaussian estimators of the mean of a random matrix with heavy-tailed
  entries
Sub-Gaussian estimators of the mean of a random matrix with heavy-tailed entries
Stanislav Minsker
32
103
0
23 May 2016
Minimax Rate-optimal Estimation of High-dimensional Covariance Matrices
  with Incomplete Data
Minimax Rate-optimal Estimation of High-dimensional Covariance Matrices with Incomplete Data
T. Tony Cai
Anru R. Zhang
19
37
0
14 May 2016
Block-diagonal covariance selection for high-dimensional Gaussian
  graphical models
Block-diagonal covariance selection for high-dimensional Gaussian graphical models
Emilie Devijver
M. Gallopin
16
40
0
12 Nov 2015
High-dimensional robust precision matrix estimation: Cellwise corruption
  under $ε$-contamination
High-dimensional robust precision matrix estimation: Cellwise corruption under εεε-contamination
Po-Ling Loh
X. Tan
19
30
0
24 Sep 2015
Inference of high-dimensional linear models with time-varying
  coefficients
Inference of high-dimensional linear models with time-varying coefficients
Xiaohui Chen
Yifeng He
42
9
0
12 Jun 2015
Robust Covariance and Scatter Matrix Estimation under Huber's
  Contamination Model
Robust Covariance and Scatter Matrix Estimation under Huber's Contamination Model
Mengjie Chen
Chao Gao
Zhao Ren
25
164
0
01 Jun 2015
Estimation of Large Covariance and Precision Matrices from Temporally
  Dependent Observations
Estimation of Large Covariance and Precision Matrices from Temporally Dependent Observations
Hai Shu
B. Nan
36
20
0
16 Dec 2014
High Dimensional Correlation Matrices: CLT and Its Applications
High Dimensional Correlation Matrices: CLT and Its Applications
Jiti Gao
Xiao Han
G. Pan
Yanrong Yang
26
5
0
01 Nov 2014
Inference for High-dimensional Differential Correlation Matrices
Inference for High-dimensional Differential Correlation Matrices
T. Cai
Anru R. Zhang
49
29
0
25 Aug 2014
SURE Information Criteria for Large Covariance Matrix Estimation and
  Their Asymptotic Properties
SURE Information Criteria for Large Covariance Matrix Estimation and Their Asymptotic Properties
Danning Li
H. Zou
35
11
0
25 Jun 2014
Geometric Inference for General High-Dimensional Linear Inverse Problems
Geometric Inference for General High-Dimensional Linear Inverse Problems
T. Tony Cai
Tengyuan Liang
Alexander Rakhlin
48
27
0
17 Apr 2014
Covariance and precision matrix estimation for high-dimensional time
  series
Covariance and precision matrix estimation for high-dimensional time series
Xiaohui Chen
Mengyu Xu
Wei Biao Wu
AI4TS
70
146
0
06 Jan 2014
Rate-optimal posterior contraction for sparse PCA
Rate-optimal posterior contraction for sparse PCA
Chao Gao
Harrison H. Zhou
51
35
0
30 Nov 2013
Tests for covariance matrix with fixed or divergent dimension
Tests for covariance matrix with fixed or divergent dimension
Rongmao Zhang
L. Peng
Ruodu Wang
71
20
0
30 Oct 2013
Asymptotically Normal and Efficient Estimation of Covariate-Adjusted
  Gaussian Graphical Model
Asymptotically Normal and Efficient Estimation of Covariate-Adjusted Gaussian Graphical Model
Mengjie Chen
Zhao Ren
Hongyu Zhao
Harrison H. Zhou
27
59
0
23 Sep 2013
Law of Log Determinant of Sample Covariance Matrix and Optimal
  Estimation of Differential Entropy for High-Dimensional Gaussian
  Distributions
Law of Log Determinant of Sample Covariance Matrix and Optimal Estimation of Differential Entropy for High-Dimensional Gaussian Distributions
T. Tony Cai
Tengyuan Liang
Harrison H. Zhou
38
68
0
02 Sep 2013
A Direct Estimation of High Dimensional Stationary Vector
  Autoregressions
A Direct Estimation of High Dimensional Stationary Vector Autoregressions
Fang Han
Huanran Lu
Han Liu
66
120
0
01 Jul 2013
Gemini: Graph estimation with matrix variate normal instances
Gemini: Graph estimation with matrix variate normal instances
Shuheng Zhou
66
105
0
23 Sep 2012
Test for bandedness of high-dimensional covariance matrices and
  bandwidth estimation
Test for bandedness of high-dimensional covariance matrices and bandwidth estimation
Yumou Qiu
Songxi Chen
62
65
0
16 Aug 2012
Minimax bounds for sparse PCA with noisy high-dimensional data
Minimax bounds for sparse PCA with noisy high-dimensional data
Aharon Birnbaum
Iain M. Johnstone
B. Nadler
D. Paul
51
181
0
05 Mar 2012
Optimal detection of sparse principal components in high dimension
Optimal detection of sparse principal components in high dimension
Quentin Berthet
Philippe Rigollet
60
284
0
23 Feb 2012
Minimax Rates of Estimation for Sparse PCA in High Dimensions
Minimax Rates of Estimation for Sparse PCA in High Dimensions
Vincent Q. Vu
Jing Lei
59
142
0
03 Feb 2012
High-dimensional covariance matrix estimation with missing observations
High-dimensional covariance matrix estimation with missing observations
Karim Lounici
49
182
0
12 Jan 2012
Minimax bounds for estimation of normal mixtures
Minimax bounds for estimation of normal mixtures
Arlene K. H. Kim
48
19
0
20 Dec 2011
New Methods for Handling Singular Sample Covariance Matrices
New Methods for Handling Singular Sample Covariance Matrices
G. Tucci
Ke Wang
46
5
0
01 Nov 2011
The Masked Sample Covariance Estimator: An Analysis via Matrix
  Concentration Inequalities
The Masked Sample Covariance Estimator: An Analysis via Matrix Concentration Inequalities
Richard Y. Chen
Alex Gittens
J. Tropp
55
70
0
08 Sep 2011
Limiting Laws of Coherence of Random Matrices with Applications to
  Testing Covariance Structure and Construction of Compressed Sensing Matrices
Limiting Laws of Coherence of Random Matrices with Applications to Testing Covariance Structure and Construction of Compressed Sensing Matrices
Tony Cai
Tiefeng Jiang
43
196
0
14 Feb 2011
Approximating the inverse of banded matrices by banded matrices with
  applications to probability and statistics
Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics
Peter J. Bickel
M. Lindner
55
35
0
24 Feb 2010
Sparsistent Estimation of Time-Varying Discrete Markov Random Fields
Sparsistent Estimation of Time-Varying Discrete Markov Random Fields
Mladen Kolar
Eric P. Xing
99
23
0
14 Jul 2009
The Nonparanormal: Semiparametric Estimation of High Dimensional
  Undirected Graphs
The Nonparanormal: Semiparametric Estimation of High Dimensional Undirected Graphs
Han Liu
John D. Lafferty
Larry A. Wasserman
95
759
0
03 Mar 2009
High-dimensional covariance estimation by minimizing $\ell_1$-penalized
  log-determinant divergence
High-dimensional covariance estimation by minimizing ℓ1\ell_1ℓ1​-penalized log-determinant divergence
Pradeep Ravikumar
Martin J. Wainwright
Garvesh Raskutti
Bin Yu
106
869
0
21 Nov 2008
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