Communities
Connect sessions
AI calendar
Organizations
Join Slack
Contact Sales
Search
Open menu
Home
Papers
0806.1141
Cited By
Limit theorems for sample eigenvalues in a generalized spiked population model
Journal of Multivariate Analysis (J. Multivar. Anal.), 2008
6 June 2008
Z. Bai
Jianfeng Yao
Re-assign community
ArXiv (abs)
PDF
HTML
Papers citing
"Limit theorems for sample eigenvalues in a generalized spiked population model"
50 / 59 papers shown
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Yang Qi
Alexis Decurninge
264
0
0
05 Mar 2025
Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery
Annual Conference Computational Learning Theory (COLT), 2025
Filip Kovačević
Yihan Zhang
Marco Mondelli
502
6
0
03 Feb 2025
A Pluggable Common Sense-Enhanced Framework for Knowledge Graph Completion
Guanglin Niu
Bo Li
Siling Feng
218
3
0
06 Oct 2024
Double Descent: Understanding Linear Model Estimation of Nonidentifiable Parameters and a Model for Overfitting
Ronald Christensen
304
1
0
23 Aug 2024
Sailing in high-dimensional spaces: Low-dimensional embeddings through angle preservation
Jonas Fischer
Rong Ma
310
1
0
14 Jun 2024
The Asymptotic Properties of the Extreme Eigenvectors of High-dimensional Generalized Spiked Covariance Model
Zhangni Pu
Xiaozhuo Zhang
Jiang Hu
Zhidong Bai
316
2
0
14 May 2024
Detecting Spectral Breaks in Spiked Covariance Models
Nina Dórnemann
Debashis Paul
213
5
0
30 Apr 2024
Is your data alignable? Principled and interpretable alignability testing and integration of single-cell data
bioRxiv (bioRxiv), 2023
Rong Ma
Eric D. Sun
D. Donoho
James Zou
348
16
0
03 Aug 2023
The Decimation Scheme for Symmetric Matrix Factorization
Francesco Camilli
Marc Mézard
252
15
0
31 Jul 2023
Approximate Message Passing for the Matrix Tensor Product Model
Riccardo Rossetti
Galen Reeves
224
12
0
27 Jun 2023
On the Multiway Principal Component Analysis
Jialin Ouyang
Ming Yuan
319
3
0
14 Feb 2023
Understanding Multimodal Contrastive Learning and Incorporating Unpaired Data
International Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Ryumei Nakada
Halil Ibrahim Gulluk
Zhun Deng
Wenlong Ji
James Zou
Linjun Zhang
SSL
VLM
460
54
0
13 Feb 2023
Mismatched estimation of non-symmetric rank-one matrices corrupted by structured noise
International Symposium on Information Theory (ISIT), 2023
Teng Fu
Yuhao Liu
Jean Barbier
Marco Mondelli
Shansuo Liang
Tianqi Hou
259
2
0
07 Feb 2023
A CLT for the LSS of large dimensional sample covariance matrices with diverging spikes
Annals of Statistics (Ann. Stat.), 2022
Zhijun Liu
Jiang Hu
Z. Bai
Haiyan Song
557
11
0
12 Dec 2022
Optimal Eigenvalue Shrinkage in the Semicircle Limit
D. Donoho
M. J. Feldman
232
5
0
10 Oct 2022
Bayes-optimal limits in structured PCA, and how to reach them
Jean Barbier
Francesco Camilli
Marco Mondelli
Manuel Sáenz
359
6
0
03 Oct 2022
The price of ignorance: how much does it cost to forget noise structure in low-rank matrix estimation?
Neural Information Processing Systems (NeurIPS), 2022
Jean Barbier
Tianqi Hou
Marco Mondelli
Manuel Sáenz
439
21
0
20 May 2022
A CLT for the LSS of large dimensional sample covariance matrices with unbounded dispersions
Zhijun Liu
Jiang Hu
Z. Bai
Haiyan Song
167
2
0
15 May 2022
Large sample correlation matrices: a comparison theorem and its applications
Electronic Journal of Probability (EJP), 2022
Johannes Heiny
138
10
0
04 Jan 2022
Long Random Matrices and Tensor Unfolding
Gerard Ben Arous
Daniel Zhengyu Huang
Jiaoyang Huang
379
18
0
19 Oct 2021
The Power of Contrast for Feature Learning: A Theoretical Analysis
Wenlong Ji
Zhun Deng
Ryumei Nakada
James Zou
Linjun Zhang
SSL
607
63
0
06 Oct 2021
CLT for LSS of sample covariance matrices with unbounded dispersions
Liu Zhijun
Bai Zhidong
Hu Jiang
Song Haiyan
196
0
0
18 Jun 2021
Hessian Eigenspectra of More Realistic Nonlinear Models
Neural Information Processing Systems (NeurIPS), 2021
Zhenyu Liao
Michael W. Mahoney
432
41
0
02 Mar 2021
Power Iteration for Tensor PCA
Journal of machine learning research (JMLR), 2020
Jiaoyang Huang
Daniel Zhengyu Huang
Qing Yang
Guang Cheng
311
21
0
26 Dec 2020
Empirical Bayes PCA in high dimensions
Xinyi Zhong
Chang Su
Z. Fan
598
26
0
21 Dec 2020
Limiting laws and consistent estimation criteria for fixed and diverging number of spiked eigenvalues
Jian-bo Hu
Jingfei Zhang
Jianhua Guo
Ji Zhu
336
2
0
15 Dec 2020
High dimensional PCA: a new model selection criterion
Abhinav Chakraborty
Soumendu Sundar Mukherjee
A. Chakrabarti
81
2
0
09 Nov 2020
Eigenvector distribution in the critical regime of BBP transition
Probability theory and related fields (PTRF), 2020
Z. Bao
Dong Wang
304
15
0
28 Sep 2020
Asymptotic independence of spiked eigenvalues and linear spectral statistics for large sample covariance matrices
Annals of Statistics (Ann. Stat.), 2020
Zhixiang Zhang
Shu-rong Zheng
G. Pan
Pingshou Zhong
284
23
0
23 Sep 2020
Statistical inference for principal components of spiked covariance matrices
Annals of Statistics (Ann. Stat.), 2020
Z. Bao
Xiucai Ding
Jingming Wang
Ke Wang
485
53
0
27 Aug 2020
Theory of high-dimensional outliers
Hyo-young Choi
J. S. Marron
93
0
0
04 Sep 2019
Asymptotic joint distribution of extreme eigenvalues and trace of large sample covariance matrix in a generalized spiked population model
Annals of Statistics (Ann. Stat.), 2019
Zeng Li
Fang Han
Jianfeng Yao
190
22
0
23 Jun 2019
Sparse Approximate Factor Estimation for High-Dimensional Covariance Matrices
M. Daniele
W. Pohlmeier
A. Zagidullina
153
7
0
13 Jun 2019
Generalized Four Moment Theorem with an application to the CLT for the spiked eigenvalues of high-dimensional general Fisher-matrices
Dandan Jiang
Zhiqiang Hou
Z. Bai
204
1
0
11 Apr 2019
Principal components in linear mixed models with general bulk
Z. Fan
Yi Sun
Zhichao Wang
303
9
0
22 Mar 2019
Matrix denoising for weighted loss functions and heterogeneous signals
W. Leeb
424
28
0
25 Feb 2019
Large dimensional analysis of general margin based classification methods
Hanwen Huang
Qinglong Yang
439
9
0
23 Jan 2019
The Full Spectrum of Deepnet Hessians at Scale: Dynamics with SGD Training and Sample Size
Vardan Papyan
266
34
0
16 Nov 2018
Optimal spectral shrinkage and PCA with heteroscedastic noise
IEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2018
Qiangqiang Wu
Yanjie Liang
451
29
0
06 Nov 2018
Heteroskedastic PCA: Algorithm, Optimality, and Applications
Anru R. Zhang
T. Tony Cai
Yihong Wu
497
86
0
19 Oct 2018
Optimal Covariance Estimation for Condition Number Loss in the Spiked Model
D. Donoho
Behrooz Ghorbani
289
7
0
17 Oct 2018
Singular vector and singular subspace distribution for the matrix denoising model
Z. Bao
Xiucai Ding
Ke Wang
403
54
0
27 Sep 2018
Generalized Four Moment Theorem and an Application to CLT for Spiked Eigenvalues of Large-dimensional Covariance Matrices
Dandan Jiang
Z. Bai
355
33
0
16 Aug 2018
Fundamental limits of detection in the spiked Wigner model
A. Alaoui
Florent Krzakala
Sai Li
270
53
0
25 Jun 2018
Spiked covariances and principal components analysis in high-dimensional random effects models
Z. Fan
Iain M. Johnstone
Yi Sun
138
9
0
25 Jun 2018
Detection limits in the high-dimensional spiked rectangular model
A. Alaoui
Sai Li
319
21
0
20 Feb 2018
Optimal prediction in the linearly transformed spiked model
Edgar Dobriban
W. Leeb
A. Singer
309
21
0
07 Sep 2017
Fundamental Limits of Weak Recovery with Applications to Phase Retrieval
Marco Mondelli
Andrea Montanari
421
136
0
20 Aug 2017
Asymptotic performance of PCA for high-dimensional heteroscedastic data
David Hong
Laura Balzano
Jeffrey A. Fessler
524
64
0
20 Mar 2017
Phase Transitions of Spectral Initialization for High-Dimensional Nonconvex Estimation
Information and Inference A Journal of the IMA (JIII), 2017
Yue M. Lu
Gen Li
370
102
0
21 Feb 2017
1
2
Next
Page 1 of 2
