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Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model

Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model

4 November 2013
D. Donoho
M. Gavish
Iain M. Johnstone
ArXivPDFHTML

Papers citing "Optimal Shrinkage of Eigenvalues in the Spiked Covariance Model"

50 / 88 papers shown
Title
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Yang Qi
Alexis Decurninge
54
0
0
05 Mar 2025
A Pluggable Common Sense-Enhanced Framework for Knowledge Graph
  Completion
A Pluggable Common Sense-Enhanced Framework for Knowledge Graph Completion
Guanglin Niu
Bo Li
Siling Feng
35
0
0
06 Oct 2024
On the universality of neural encodings in CNNs
On the universality of neural encodings in CNNs
Florentin Guth
Brice Ménard
SSL
56
5
0
28 Sep 2024
Optimal Estimation of Structured Covariance Operators
Optimal Estimation of Structured Covariance Operators
Omar Al Ghattas
Jiaheng Chen
D. Sanz-Alonso
Nathan Waniorek
43
3
0
04 Aug 2024
A Geometric Unification of Distributionally Robust Covariance
  Estimators: Shrinking the Spectrum by Inflating the Ambiguity Set
A Geometric Unification of Distributionally Robust Covariance Estimators: Shrinking the Spectrum by Inflating the Ambiguity Set
Man-Chung Yue
Yves Rychener
Daniel Kuhn
Viet Anh Nguyen
39
1
0
30 May 2024
Model Editing as a Robust and Denoised variant of DPO: A Case Study on Toxicity
Model Editing as a Robust and Denoised variant of DPO: A Case Study on Toxicity
Rheeya Uppaal
Apratim De
Yiting He
Yiquao Zhong
Junjie Hu
46
9
0
22 May 2024
Spectral Properties of Elementwise-Transformed Spiked Matrices
Spectral Properties of Elementwise-Transformed Spiked Matrices
Michael J. Feldman
83
3
0
03 Nov 2023
Sampling with flows, diffusion and autoregressive neural networks: A
  spin-glass perspective
Sampling with flows, diffusion and autoregressive neural networks: A spin-glass perspective
Davide Ghio
Yatin Dandi
Florent Krzakala
Lenka Zdeborová
DiffM
30
26
0
27 Aug 2023
Multifidelity Covariance Estimation via Regression on the Manifold of
  Symmetric Positive Definite Matrices
Multifidelity Covariance Estimation via Regression on the Manifold of Symmetric Positive Definite Matrices
A. Maurais
Terrence Alsup
Benjamin Peherstorfer
Youssef Marzouk
38
3
0
23 Jul 2023
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Runshi Tang
M. Yuan
Anru R. Zhang
47
3
0
02 Jul 2023
Precise Asymptotic Generalization for Multiclass Classification with Overparameterized Linear Models
Precise Asymptotic Generalization for Multiclass Classification with Overparameterized Linear Models
David X. Wu
A. Sahai
29
2
0
23 Jun 2023
Uniform error bound for PCA matrix denoising
Uniform error bound for PCA matrix denoising
Xin T. Tong
Wanjie Wang
Yuguan Wang
20
2
0
22 Jun 2023
Analysis and Approximate Inference of Large Random Kronecker Graphs
Analysis and Approximate Inference of Large Random Kronecker Graphs
Zhenyu Liao
Yuanqian Xia
Chengmei Niu
Yong Xiao
71
0
0
14 Jun 2023
A Rainbow in Deep Network Black Boxes
A Rainbow in Deep Network Black Boxes
Florentin Guth
Brice Ménard
G. Rochette
S. Mallat
39
10
0
29 May 2023
On the Noise Sensitivity of the Randomized SVD
On the Noise Sensitivity of the Randomized SVD
Elad Romanov
34
0
0
27 May 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in
  heteroskedastic PCA
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA
Yuchen Zhou
Yuxin Chen
45
4
0
10 Mar 2023
Multi-Fidelity Covariance Estimation in the Log-Euclidean Geometry
Multi-Fidelity Covariance Estimation in the Log-Euclidean Geometry
A. Maurais
Terrence Alsup
Benjamin Peherstorfer
Youssef Marzouk
28
7
0
31 Jan 2023
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
17
6
0
12 Dec 2022
Correlation matrix of equi-correlated normal population: fluctuation of
  the largest eigenvalue, scaling of the bulk eigenvalues, and stock market
Correlation matrix of equi-correlated normal population: fluctuation of the largest eigenvalue, scaling of the bulk eigenvalues, and stock market
Y. Akama
29
3
0
11 Dec 2022
Pitfalls of Climate Network Construction: A Statistical Perspective
Pitfalls of Climate Network Construction: A Statistical Perspective
Moritz Haas
B. Goswami
U. V. Luxburg
19
4
0
05 Nov 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
32
2
0
04 Nov 2022
Matrix Denoising with Partial Noise Statistics: Optimal Singular Value
  Shrinkage of Spiked F-Matrices
Matrix Denoising with Partial Noise Statistics: Optimal Singular Value Shrinkage of Spiked F-Matrices
M. Gavish
W. Leeb
Elad Romanov
16
6
0
02 Nov 2022
Fast Principal Component Analysis for Cryo-EM Images
Fast Principal Component Analysis for Cryo-EM Images
Nicholas F. Marshall
Oscar Mickelin
Yunpeng Shi
A. Singer
22
3
0
31 Oct 2022
Disordered Systems Insights on Computational Hardness
Disordered Systems Insights on Computational Hardness
D. Gamarnik
Cristopher Moore
Lenka Zdeborová
AI4CE
38
33
0
15 Oct 2022
Optimal Eigenvalue Shrinkage in the Semicircle Limit
Optimal Eigenvalue Shrinkage in the Semicircle Limit
D. Donoho
M. J. Feldman
30
5
0
10 Oct 2022
Large covariance matrix estimation via penalized log-det heuristics
Large covariance matrix estimation via penalized log-det heuristics
E. Bernardi
M. Farné
28
0
0
11 Sep 2022
Low-rank Matrix Estimation with Inhomogeneous Noise
Low-rank Matrix Estimation with Inhomogeneous Noise
A. Guionnet
Justin Ko
Florent Krzakala
Lenka Zdeborová
18
16
0
11 Aug 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
19
2
0
15 May 2022
Sparsification and Filtering for Spatial-temporal GNN in Multivariate
  Time-series
Sparsification and Filtering for Spatial-temporal GNN in Multivariate Time-series
Yuanrong Wang
T. Aste
AI4TS
28
10
0
08 Mar 2022
An Improvement on the Hotelling $T^2$ Test Using the Ledoit-Wolf
  Nonlinear Shrinkage Estimator
An Improvement on the Hotelling T2T^2T2 Test Using the Ledoit-Wolf Nonlinear Shrinkage Estimator
Benjamin D. Robinson
Robert Malinas
Van Latimer
Beth Bjorkman Morrison
Alfred Hero
80
0
0
25 Feb 2022
Long Random Matrices and Tensor Unfolding
Long Random Matrices and Tensor Unfolding
Gerard Ben Arous
Daniel Zhengyu Huang
Jiaoyang Huang
41
18
0
19 Oct 2021
James-Stein estimation of the first principal component
James-Stein estimation of the first principal component
Alexander D. Shkolnik
22
9
0
05 Sep 2021
Inference for Heteroskedastic PCA with Missing Data
Inference for Heteroskedastic PCA with Missing Data
Yuling Yan
Yuxin Chen
Jianqing Fan
43
16
0
26 Jul 2021
Shrinkage Estimation of Functions of Large Noisy Symmetric Matrices
Shrinkage Estimation of Functions of Large Noisy Symmetric Matrices
Panagiotis Lolas
Lexing Ying
37
1
0
09 Jun 2021
Spiked Singular Values and Vectors under Extreme Aspect Ratios
Spiked Singular Values and Vectors under Extreme Aspect Ratios
M. Feldman
13
9
0
30 Apr 2021
Measuring dependence between random vectors via optimal transport
Measuring dependence between random vectors via optimal transport
Gilles Mordant
Johan Segers
OT
14
24
0
28 Apr 2021
High-Dimensional Covariance Shrinkage for Signal Detection
High-Dimensional Covariance Shrinkage for Signal Detection
Benjamin D. Robinson
Robert Malinas
Alfred Hero
13
1
0
22 Mar 2021
Concentration of Non-Isotropic Random Tensors with Applications to Learning and Empirical Risk Minimization
Concentration of Non-Isotropic Random Tensors with Applications to Learning and Empirical Risk Minimization
Mathieu Even
Laurent Massoulié
24
14
0
04 Feb 2021
Power Iteration for Tensor PCA
Power Iteration for Tensor PCA
Jiaoyang Huang
Daniel Zhengyu Huang
Qing Yang
Guang Cheng
33
18
0
26 Dec 2020
Precise Statistical Analysis of Classification Accuracies for
  Adversarial Training
Precise Statistical Analysis of Classification Accuracies for Adversarial Training
Adel Javanmard
Mahdi Soltanolkotabi
AAML
35
61
0
21 Oct 2020
Detecting approximate replicate components of a high-dimensional random
  vector with latent structure
Detecting approximate replicate components of a high-dimensional random vector with latent structure
Xin Bing
F. Bunea
M. Wegkamp
35
4
0
05 Oct 2020
Shrinkage Estimation of the Frechet Mean in Lie groups
Chun-Hao Yang
B. Vemuri
6
3
0
28 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
20
50
0
27 Aug 2020
Rejoinder: On nearly assumption-free tests of nominal confidence
  interval coverage for causal parameters estimated by machine learning
Rejoinder: On nearly assumption-free tests of nominal confidence interval coverage for causal parameters estimated by machine learning
Lin Liu
Rajarshi Mukherjee
J. M. Robins
CML
38
16
0
07 Aug 2020
Covariance estimation with nonnegative partial correlations
Covariance estimation with nonnegative partial correlations
Jake A. Soloff
Adityanand Guntuboyina
Michael I. Jordan
23
10
0
30 Jul 2020
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of
  Symmetric Positive-Definite Matrices
An Empirical Bayes Approach to Shrinkage Estimation on the Manifold of Symmetric Positive-Definite Matrices
Chun-Hao Yang
Hani Doss
B. Vemuri
13
4
0
04 Jul 2020
High-Dimensional Quadratic Discriminant Analysis under Spiked Covariance
  Model
High-Dimensional Quadratic Discriminant Analysis under Spiked Covariance Model
Houssem Sifaou
A. Kammoun
Mohamed-Slim Alouini
11
8
0
25 Jun 2020
Optimal singular value shrinkage for operator norm loss
Optimal singular value shrinkage for operator norm loss
W. Leeb
17
11
0
24 May 2020
Non-Sparse PCA in High Dimensions via Cone Projected Power Iteration
Non-Sparse PCA in High Dimensions via Cone Projected Power Iteration
Yufei Yi
Matey Neykov
12
2
0
15 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
29
28
0
01 May 2020
12
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