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On the principal components of sample covariance matrices

On the principal components of sample covariance matrices

3 April 2014
Alex Bloemendal
Antti Knowles
H. Yau
J. Yin
ArXivPDFHTML

Papers citing "On the principal components of sample covariance matrices"

50 / 59 papers shown
Title
Optimal Estimation of Structured Covariance Operators
Optimal Estimation of Structured Covariance Operators
Omar Al Ghattas
Jiaheng Chen
D. Sanz-Alonso
Nathan Waniorek
46
3
0
04 Aug 2024
Sailing in high-dimensional spaces: Low-dimensional embeddings through
  angle preservation
Sailing in high-dimensional spaces: Low-dimensional embeddings through angle preservation
Jonas Fischer
Rong Ma
51
0
0
14 Jun 2024
Entry-Wise Eigenvector Analysis and Improved Rates for Topic Modeling on
  Short Documents
Entry-Wise Eigenvector Analysis and Improved Rates for Topic Modeling on Short Documents
Z. T. Ke
Jingming Wang
37
1
0
28 May 2024
The Asymptotic Properties of the Extreme Eigenvectors of
  High-dimensional Generalized Spiked Covariance Model
The Asymptotic Properties of the Extreme Eigenvectors of High-dimensional Generalized Spiked Covariance Model
Zhangni Pu
Xiaozhuo Zhang
Jiang Hu
Zhidong Bai
16
1
0
14 May 2024
Liberating dimension and spectral norm: A universal approach to spectral
  properties of sample covariance matrices
Liberating dimension and spectral norm: A universal approach to spectral properties of sample covariance matrices
Yanqing Yin
16
0
0
02 Jan 2024
Two sample test for covariance matrices in ultra-high dimension
Two sample test for covariance matrices in ultra-high dimension
Xiucai Ding
Yichen Hu
Zhenggang Wang
29
2
0
17 Dec 2023
Universality for the global spectrum of random inner-product kernel
  matrices in the polynomial regime
Universality for the global spectrum of random inner-product kernel matrices in the polynomial regime
S. Dubova
Yue M. Lu
Benjamin McKenna
H. Yau
24
4
0
27 Oct 2023
Corrected generalized cross-validation for finite ensembles of penalized
  estimators
Corrected generalized cross-validation for finite ensembles of penalized estimators
Pierre C. Bellec
Jin-Hong Du
Takuya Koriyama
Pratik Patil
Kai Tan
36
4
0
02 Oct 2023
Global and local CLTs for linear spectral statistics of general sample
  covariance matrices when the dimension is much larger than the sample size
  with applications
Global and local CLTs for linear spectral statistics of general sample covariance matrices when the dimension is much larger than the sample size with applications
Xiucai Ding
Zheng-G Wang
19
4
0
16 Aug 2023
High-Dimensional Canonical Correlation Analysis
High-Dimensional Canonical Correlation Analysis
A. Bykhovskaya
V. Gorin
11
2
0
28 Jun 2023
On the Noise Sensitivity of the Randomized SVD
On the Noise Sensitivity of the Randomized SVD
Elad Romanov
37
0
0
27 May 2023
Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
Subsample Ridge Ensembles: Equivalences and Generalized Cross-Validation
Jin-Hong Du
Pratik V. Patil
Arun K. Kuchibhotla
37
11
0
25 Apr 2023
Tracy-Widom distribution for the edge eigenvalues of elliptical model
Tracy-Widom distribution for the edge eigenvalues of elliptical model
Xiucai Ding
Jiahui Xie
17
0
0
16 Apr 2023
The Local Ledoit-Peche Law
The Local Ledoit-Peche Law
Van Latimer
Benjamin D. Robinson
17
0
0
27 Feb 2023
Sampling without replacement from a high-dimensional finite population
Sampling without replacement from a high-dimensional finite population
Jiang Hu
Shao-An Wang
Yangchun Zhang
Wang Zhou
17
3
0
27 Jan 2023
Detection problems in the spiked matrix models
Detection problems in the spiked matrix models
Ji Hyung Jung
Hye Won Chung
J. Lee
16
2
0
12 Jan 2023
Resampling Sensitivity of High-Dimensional PCA
Resampling Sensitivity of High-Dimensional PCA
Haoyu Wang
29
0
0
30 Dec 2022
Extreme eigenvalues of Log-concave Ensemble
Extreme eigenvalues of Log-concave Ensemble
Z. Bao
Xiao‐Chuan Xu
13
1
0
22 Dec 2022
A CLT for the LSS of large dimensional sample covariance matrices with
  diverging spikes
A CLT for the LSS of large dimensional sample covariance matrices with diverging spikes
Zhijun Liu
Jiang Hu
Z. Bai
Haiyan Song
24
6
0
12 Dec 2022
A note on the prediction error of principal component regression in high
  dimensions
A note on the prediction error of principal component regression in high dimensions
L. Hucker
Martin Wahl
14
5
0
09 Dec 2022
SIMPLE-RC: Group Network Inference with Non-Sharp Nulls and Weak Signals
SIMPLE-RC: Group Network Inference with Non-Sharp Nulls and Weak Signals
Jianqing Fan
Yingying Fan
Jinchi Lv
Fan Yang
68
3
0
31 Oct 2022
Optimal Eigenvalue Shrinkage in the Semicircle Limit
Optimal Eigenvalue Shrinkage in the Semicircle Limit
D. Donoho
M. J. Feldman
32
5
0
10 Oct 2022
A CLT for the LSS of large dimensional sample covariance matrices with
  unbounded dispersions
A CLT for the LSS of large dimensional sample covariance matrices with unbounded dispersions
Zhijun Liu
Jiang Hu
Z. Bai
Haiyan Song
26
2
0
15 May 2022
An Equivalence Principle for the Spectrum of Random Inner-Product Kernel
  Matrices with Polynomial Scalings
An Equivalence Principle for the Spectrum of Random Inner-Product Kernel Matrices with Polynomial Scalings
Yue M. Lu
H. Yau
29
24
0
12 May 2022
More Than a Toy: Random Matrix Models Predict How Real-World Neural
  Representations Generalize
More Than a Toy: Random Matrix Models Predict How Real-World Neural Representations Generalize
Alexander Wei
Wei Hu
Jacob Steinhardt
25
70
0
11 Mar 2022
Testing the number of common factors by bootstrapped sample covariance
  matrix in high-dimensional factor models
Testing the number of common factors by bootstrapped sample covariance matrix in high-dimensional factor models
Long Yu
P. Zhao
Wang Zhou
15
2
0
13 Feb 2022
Matrix Reordering for Noisy Disordered Matrices: Optimality and
  Computationally Efficient Algorithms
Matrix Reordering for Noisy Disordered Matrices: Optimality and Computationally Efficient Algorithms
T. Tony Cai
Rong Ma
45
5
0
17 Jan 2022
Non-splitting Neyman-Pearson Classifiers
Non-splitting Neyman-Pearson Classifiers
Jingming Wang
Lucy Xia
Z. Bao
Xin Tong
31
0
0
01 Dec 2021
Inference for Heteroskedastic PCA with Missing Data
Inference for Heteroskedastic PCA with Missing Data
Yuling Yan
Yuxin Chen
Jianqing Fan
53
16
0
26 Jul 2021
On Ensembling vs Merging: Least Squares and Random Forests under
  Covariate Shift
On Ensembling vs Merging: Least Squares and Random Forests under Covariate Shift
M. Ramchandran
Rajarshi Mukherjee
MoMe
FedML
33
3
0
04 Jun 2021
Spiked Singular Values and Vectors under Extreme Aspect Ratios
Spiked Singular Values and Vectors under Extreme Aspect Ratios
M. Feldman
21
9
0
30 Apr 2021
Detection of Signal in the Spiked Rectangular Models
Detection of Signal in the Spiked Rectangular Models
Ji Hyung Jung
Hye Won Chung
J. Lee
8
10
0
28 Apr 2021
A Goodness-of-fit Test on the Number of Biclusters in a Relational Data
  Matrix
A Goodness-of-fit Test on the Number of Biclusters in a Relational Data Matrix
C. Watanabe
Taiji Suzuki
35
0
0
23 Feb 2021
Empirical Bayes PCA in high dimensions
Empirical Bayes PCA in high dimensions
Xinyi Zhong
Chang Su
Z. Fan
26
19
0
21 Dec 2020
Impact of signal-to-noise ratio and bandwidth on graph Laplacian
  spectrum from high-dimensional noisy point cloud
Impact of signal-to-noise ratio and bandwidth on graph Laplacian spectrum from high-dimensional noisy point cloud
Xiucai Ding
Hau‐Tieng Wu
14
13
0
21 Nov 2020
A Random Matrix Theory Approach to Damping in Deep Learning
A Random Matrix Theory Approach to Damping in Deep Learning
Diego Granziol
Nicholas P. Baskerville
AI4CE
ODL
34
2
0
15 Nov 2020
Eigenvector distribution in the critical regime of BBP transition
Eigenvector distribution in the critical regime of BBP transition
Z. Bao
Dong Wang
8
14
0
28 Sep 2020
Limiting laws for extreme eigenvalues of large-dimensional spiked Fisher
  matrices with a divergent number of spikes
Limiting laws for extreme eigenvalues of large-dimensional spiked Fisher matrices with a divergent number of spikes
Junshan Xie
Yicheng Zeng
Lixing Zhu
6
6
0
22 Sep 2020
Edge statistics of large dimensional deformed rectangular matrices
Edge statistics of large dimensional deformed rectangular matrices
Xiucai Ding
Fan Yang
38
9
0
01 Sep 2020
Statistical inference for principal components of spiked covariance
  matrices
Statistical inference for principal components of spiked covariance matrices
Z. Bao
Xiucai Ding
Jingming Wang
Ke Wang
23
50
0
27 Aug 2020
Tracy-Widom distribution for heterogeneous Gram matrices with
  applications in signal detection
Tracy-Widom distribution for heterogeneous Gram matrices with applications in signal detection
Xiucai Ding
Fan Yang
26
15
0
10 Aug 2020
Learning Rates as a Function of Batch Size: A Random Matrix Theory
  Approach to Neural Network Training
Learning Rates as a Function of Batch Size: A Random Matrix Theory Approach to Neural Network Training
Diego Granziol
S. Zohren
Stephen J. Roberts
ODL
44
49
0
16 Jun 2020
Linear spectral statistics of eigenvectors of anisotropic sample
  covariance matrices
Linear spectral statistics of eigenvectors of anisotropic sample covariance matrices
Fan Yang
16
9
0
03 May 2020
How to reduce dimension with PCA and random projections?
How to reduce dimension with PCA and random projections?
Fan Yang
Sifan Liu
Yan Sun
David P. Woodruff
34
28
0
01 May 2020
The Asymptotic Distribution of Modularity in Weighted Signed Networks
The Asymptotic Distribution of Modularity in Weighted Signed Networks
Rong Ma
Ian Barnett
21
5
0
09 Apr 2020
Sample canonical correlation coefficients of high-dimensional random
  vectors: local law and Tracy-Widom limit
Sample canonical correlation coefficients of high-dimensional random vectors: local law and Tracy-Widom limit
Fan Yang
49
8
0
22 Feb 2020
Quantitative Universality for the Largest Eigenvalue of Sample
  Covariance Matrices
Quantitative Universality for the Largest Eigenvalue of Sample Covariance Matrices
Haoyu Wang
16
7
0
11 Dec 2019
Principal components of spiked covariance matrices in the supercritical
  regime
Principal components of spiked covariance matrices in the supercritical regime
Z. Bao
Xiucai Ding
Jingming Wang
Ke Wang
6
4
0
29 Jul 2019
Goodness-of-fit Test for Latent Block Models
Goodness-of-fit Test for Latent Block Models
C. Watanabe
Taiji Suzuki
50
5
0
10 Jun 2019
Spiked separable covariance matrices and principal components
Spiked separable covariance matrices and principal components
Xiucai Ding
Fan Yang
30
56
0
29 May 2019
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