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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"

50 / 92 papers shown
Title
High-dimensional Clustering and Signal Recovery under Block Signals
High-dimensional Clustering and Signal Recovery under Block Signals
Wu Su
Yumou Qiu
26
0
0
11 Apr 2025
Optimal Estimation of Structured Covariance Operators
Optimal Estimation of Structured Covariance Operators
Omar Al Ghattas
Jiaheng Chen
D. Sanz-Alonso
Nathan Waniorek
39
3
0
04 Aug 2024
Growing Tiny Networks: Spotting Expressivity Bottlenecks and Fixing Them
  Optimally
Growing Tiny Networks: Spotting Expressivity Bottlenecks and Fixing Them Optimally
Manon Verbockhaven
Sylvain Chevallier
Guillaume Charpiat
33
4
0
30 May 2024
Distributed High-Dimensional Quantile Regression: Estimation Efficiency
  and Support Recovery
Distributed High-Dimensional Quantile Regression: Estimation Efficiency and Support Recovery
Caixing Wang
Ziliang Shen
24
0
0
13 May 2024
Hoeffding's inequality for continuous-time Markov chains
Hoeffding's inequality for continuous-time Markov chains
Jinpeng Liu
Yuanyuan Liu
Lin Zhou
23
0
0
23 Apr 2024
High-Dimensional Statistics
High-Dimensional Statistics
Philippe Rigollet
Jan-Christian Hütter
8
0
0
30 Oct 2023
Sharper dimension-free bounds on the Frobenius distance between sample
  covariance and its expectation
Sharper dimension-free bounds on the Frobenius distance between sample covariance and its expectation
Nikita Puchkin
Fedor Noskov
V. Spokoiny
OT
29
6
0
28 Aug 2023
Learning Networks from Gaussian Graphical Models and Gaussian Free
  Fields
Learning Networks from Gaussian Graphical Models and Gaussian Free Fields
Subhro Ghosh
Soumendu Sundar Mukherjee
Hoang-Son Tran
Ujan Gangopadhyay
24
0
0
04 Aug 2023
Tuning-free one-bit covariance estimation using data-driven dithering
Tuning-free one-bit covariance estimation using data-driven dithering
S. Dirksen
J. Maly
23
7
0
24 Jul 2023
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax
  Rates, Covariate Quantization, and Uniform Recovery
Quantizing Heavy-tailed Data in Statistical Estimation: (Near) Minimax Rates, Covariate Quantization, and Uniform Recovery
Junren Chen
Michael Kwok-Po Ng
Di Wang
MQ
28
12
0
30 Dec 2022
Projection inference for high-dimensional covariance matrices with
  structured shrinkage targets
Projection inference for high-dimensional covariance matrices with structured shrinkage targets
Fabian Mies
A. Steland
26
2
0
04 Nov 2022
Dimension-free Bounds for Sum of Dependent Matrices and Operators with
  Heavy-Tailed Distribution
Dimension-free Bounds for Sum of Dependent Matrices and Operators with Heavy-Tailed Distribution
Shogo H. Nakakita
Pierre Alquier
Masaaki Imaizumi
24
2
0
18 Oct 2022
Distributed Estimation and Inference for Semi-parametric Binary Response
  Models
Distributed Estimation and Inference for Semi-parametric Binary Response Models
Xinyu Chen
Wenbo Jing
Weidong Liu
Yichen Zhang
31
2
0
15 Oct 2022
Improved Rates of Bootstrap Approximation for the Operator Norm: A
  Coordinate-Free Approach
Improved Rates of Bootstrap Approximation for the Operator Norm: A Coordinate-Free Approach
Miles E. Lopes
16
3
0
05 Aug 2022
Noise Covariance Estimation in Multi-Task High-dimensional Linear Models
Noise Covariance Estimation in Multi-Task High-dimensional Linear Models
Kai Tan
Gabriel Romon
Pierre C. Bellec
19
4
0
15 Jun 2022
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial
  Corruption and Heavy Tails
Covariance Estimation: Optimal Dimension-free Guarantees for Adversarial Corruption and Heavy Tails
Pedro Abdalla
Nikita Zhivotovskiy
35
25
0
17 May 2022
A zero-estimator approach for estimating the signal level in a
  high-dimensional model-free setting
A zero-estimator approach for estimating the signal level in a high-dimensional model-free setting
Ilan Livne
David Azriel
Y. Goldberg
19
0
0
11 May 2022
An efficient GPU-Parallel Coordinate Descent Algorithm for Sparse
  Precision Matrix Estimation via Scaled Lasso
An efficient GPU-Parallel Coordinate Descent Algorithm for Sparse Precision Matrix Estimation via Scaled Lasso
Seunghwan Lee
Sang Cheol Kim
Donghyeon Yu
9
0
0
28 Mar 2022
ISDE : Independence Structure Density Estimation
ISDE : Independence Structure Density Estimation
L. Pujol
19
1
0
18 Mar 2022
Dimensionality Reduction and Wasserstein Stability for Kernel Regression
Dimensionality Reduction and Wasserstein Stability for Kernel Regression
Stephan Eckstein
Armin Iske
Mathias Trabs
21
4
0
17 Mar 2022
Side Effects of Learning from Low-dimensional Data Embedded in a
  Euclidean Space
Side Effects of Learning from Low-dimensional Data Embedded in a Euclidean Space
Juncai He
R. Tsai
Rachel A. Ward
36
8
0
01 Mar 2022
High Dimensional Statistical Estimation under Uniformly Dithered One-bit
  Quantization
High Dimensional Statistical Estimation under Uniformly Dithered One-bit Quantization
Junren Chen
Cheng-Long Wang
Michael Kwok-Po Ng
Di Wang
MQ
21
17
0
26 Feb 2022
Unlabeled Data Help: Minimax Analysis and Adversarial Robustness
Unlabeled Data Help: Minimax Analysis and Adversarial Robustness
Yue Xing
Qifan Song
Guang Cheng
14
4
0
14 Feb 2022
Optimal Variable Clustering for High-Dimensional Matrix Valued Data
Optimal Variable Clustering for High-Dimensional Matrix Valued Data
Inbeom Lee
Siyi Deng
Y. Ning
21
1
0
24 Dec 2021
Coherence of high-dimensional random matrices in a Gaussian case :
  application of the Chen-Stein method
Coherence of high-dimensional random matrices in a Gaussian case : application of the Chen-Stein method
M. Boucher
D. Chauveau
M. Zani
8
0
0
13 Oct 2021
Affine-Invariant Integrated Rank-Weighted Depth: Definition, Properties
  and Finite Sample Analysis
Affine-Invariant Integrated Rank-Weighted Depth: Definition, Properties and Finite Sample Analysis
Guillaume Staerman
Pavlo Mozharovskyi
Stéphan Clémençon
19
10
0
21 Jun 2021
Self-Supervised Metric Learning in Multi-View Data: A Downstream Task
  Perspective
Self-Supervised Metric Learning in Multi-View Data: A Downstream Task Perspective
Shulei Wang
SSL
27
3
0
14 Jun 2021
New challenges in covariance estimation: multiple structures and coarse
  quantization
New challenges in covariance estimation: multiple structures and coarse quantization
J. Maly
Tianyu Yang
S. Dirksen
Holger Rauhut
Giuseppe Caire
18
3
0
11 Jun 2021
Covariance estimation under one-bit quantization
Covariance estimation under one-bit quantization
S. Dirksen
J. Maly
Holger Rauhut
MQ
28
20
0
02 Apr 2021
Estimation of Conditional Mean Operator under the Bandable Covariance
  Structure
Estimation of Conditional Mean Operator under the Bandable Covariance Structure
Kwangmin Lee
Kyoungjae Lee
Jaeyong Lee
18
2
0
11 Mar 2021
Robust W-GAN-Based Estimation Under Wasserstein Contamination
Robust W-GAN-Based Estimation Under Wasserstein Contamination
Zheng Liu
Po-Ling Loh
13
6
0
20 Jan 2021
Adversarially Robust Estimate and Risk Analysis in Linear Regression
Adversarially Robust Estimate and Risk Analysis in Linear Regression
Yue Xing
Ruizhi Zhang
Guang Cheng
AAML
28
27
0
18 Dec 2020
Limiting laws and consistent estimation criteria for fixed and diverging
  number of spiked eigenvalues
Limiting laws and consistent estimation criteria for fixed and diverging number of spiked eigenvalues
Jian-bo Hu
Jingfei Zhang
Jianhua Guo
Ji Zhu
23
1
0
15 Dec 2020
Post-Processed Posteriors for Banded Covariances
Post-Processed Posteriors for Banded Covariances
Kwangmin Lee
Kyoungjae Lee
Jaeyong Lee
20
5
0
25 Nov 2020
On the Non-Asymptotic Concentration of Heteroskedastic Wishart-type
  Matrix
On the Non-Asymptotic Concentration of Heteroskedastic Wishart-type Matrix
T. Tony Cai
Rungang Han
Anru R. Zhang
39
15
0
28 Aug 2020
Robust Gaussian Covariance Estimation in Nearly-Matrix Multiplication
  Time
Robust Gaussian Covariance Estimation in Nearly-Matrix Multiplication Time
J. Li
Guanghao Ye
18
11
0
23 Jun 2020
Bootstrapping $\ell_p$-Statistics in High Dimensions
Bootstrapping ℓp\ell_pℓp​-Statistics in High Dimensions
Alexander Giessing
Jianqing Fan
25
4
0
23 Jun 2020
Covariance Estimation for Matrix-valued Data
Covariance Estimation for Matrix-valued Data
Yichi Zhang
Weining Shen
Dehan Kong
16
11
0
11 Apr 2020
A Rigorous Theory of Conditional Mean Embeddings
A Rigorous Theory of Conditional Mean Embeddings
I. Klebanov
Ingmar Schuster
T. Sullivan
14
39
0
02 Dec 2019
Error bound of critical points and KL property of exponent $1/2$ for
  squared F-norm regularized factorization
Error bound of critical points and KL property of exponent 1/21/21/2 for squared F-norm regularized factorization
Ting Tao
S. Pan
Shujun Bi
10
4
0
11 Nov 2019
Matrix Means and a Novel High-Dimensional Shrinkage Phenomenon
Matrix Means and a Novel High-Dimensional Shrinkage Phenomenon
A. Lodhia
Keith D. Levin
Elizaveta Levina
23
3
0
16 Oct 2019
Bootstrapping the Operator Norm in High Dimensions: Error Estimation for
  Covariance Matrices and Sketching
Bootstrapping the Operator Norm in High Dimensions: Error Estimation for Covariance Matrices and Sketching
Miles E. Lopes
N. Benjamin Erichson
Michael W. Mahoney
21
12
0
13 Sep 2019
Optimal estimation of functionals of high-dimensional mean and
  covariance matrix
Optimal estimation of functionals of high-dimensional mean and covariance matrix
Jianqing Fan
Haolei Weng
Yifeng Zhou
32
7
0
20 Aug 2019
Method of Contraction-Expansion (MOCE) for Simultaneous Inference in
  Linear Models
Method of Contraction-Expansion (MOCE) for Simultaneous Inference in Linear Models
Fei-Yue Wang
Ling Zhou
Lu Tang
P. Song
23
4
0
04 Aug 2019
Faster Algorithms for High-Dimensional Robust Covariance Estimation
Faster Algorithms for High-Dimensional Robust Covariance Estimation
Yu Cheng
Ilias Diakonikolas
Rong Ge
David P. Woodruff
23
65
0
11 Jun 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
21
7
0
20 May 2019
LR-GLM: High-Dimensional Bayesian Inference Using Low-Rank Data
  Approximations
LR-GLM: High-Dimensional Bayesian Inference Using Low-Rank Data Approximations
Brian L. Trippe
Jonathan H. Huggins
Raj Agrawal
Tamara Broderick
BDL
14
9
0
17 May 2019
General framework for projection structures
General framework for projection structures
E. Belitser
N. Nurushev
25
1
0
31 Mar 2019
Affine Invariant Covariance Estimation for Heavy-Tailed Distributions
Affine Invariant Covariance Estimation for Heavy-Tailed Distributions
Dmitrii Ostrovskii
Alessandro Rudi
21
10
0
08 Feb 2019
Central limit theorem for linear spectral statistics of general
  separable sample covariance matrices with applications
Central limit theorem for linear spectral statistics of general separable sample covariance matrices with applications
Huiqin Li
Yanqing Yin
Shu-rong Zheng
17
4
0
23 Jan 2019
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