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Asymptotic power of sphericity tests for high-dimensional data

Asymptotic power of sphericity tests for high-dimensional data

20 June 2013
A. Onatski
Marcelo J. Moreira
Marc Hallin
ArXiv (abs)PDFHTML

Papers citing "Asymptotic power of sphericity tests for high-dimensional data"

50 / 67 papers shown
Infinitely divisible privacy and beyond I: resolution of the $s^2=2k$ conjecture
Infinitely divisible privacy and beyond I: resolution of the s2=2ks^2=2ks2=2k conjecture
Aaradhya Pandey
A. Maleki
Sanjeev Kulkarni
109
0
0
30 Nov 2025
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Statistical Limits in Random Tensors with Multiple Correlated Spikes
Yang Qi
Alexis Decurninge
268
0
0
05 Mar 2025
Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering
Asymptotic Gaussian Fluctuations of Eigenvectors in Spectral Clustering
Hugo Lebeau
Florent Chatelain
Romain Couillet
158
2
0
19 Feb 2024
Performance Gaps in Multi-view Clustering under the Nested Matrix-Tensor
  Model
Performance Gaps in Multi-view Clustering under the Nested Matrix-Tensor Model
Hugo Lebeau
Abdalgader Abubaker
J. H. D. M. Goulart
249
1
0
16 Feb 2024
High-Dimensional Canonical Correlation Analysis
High-Dimensional Canonical Correlation Analysis
A. Bykhovskaya
V. Gorin
351
7
0
28 Jun 2023
Detection problems in the spiked matrix models
Detection problems in the spiked matrix models
Ji Hyung Jung
Hye Won Chung
J. Lee
401
2
0
12 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 spikesAnnals of Statistics (Ann. Stat.), 2022
Zhijun Liu
Jiang Hu
Z. Bai
Haiyan Song
558
11
0
12 Dec 2022
Minimax Rates for Robust Community Detection
Minimax Rates for Robust Community DetectionIEEE Annual Symposium on Foundations of Computer Science (FOCS), 2022
Allen Liu
Ankur Moitra
316
16
0
25 Jul 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
167
2
0
15 May 2022
Asymptotic Normality of Log Likelihood Ratio and Fundamental Limit of
  the Weak Detection for Spiked Wigner Matrices
Asymptotic Normality of Log Likelihood Ratio and Fundamental Limit of the Weak Detection for Spiked Wigner MatricesBernoulli (Bernoulli), 2022
Hye Won Chung
Jihoon Lee
J. Lee
380
4
0
02 Mar 2022
Long Random Matrices and Tensor Unfolding
Long Random Matrices and Tensor Unfolding
Gerard Ben Arous
Daniel Zhengyu Huang
Jiaoyang Huang
379
18
0
19 Oct 2021
Distribution of the Scaled Condition Number of Single-spiked Complex
  Wishart Matrices
Distribution of the Scaled Condition Number of Single-spiked Complex Wishart MatricesIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2021
Pasan Dissanayake
Prathapasinghe Dharmawansa
Yang Chen
193
2
0
11 May 2021
Large deviation principles induced by the Stiefel manifold, and random
  multi-dimensional projections
Large deviation principles induced by the Stiefel manifold, and random multi-dimensional projectionsElectronic Journal of Probability (EJP), 2021
S. Kim
K. Ramanan
162
8
0
10 May 2021
Detection of Signal in the Spiked Rectangular Models
Detection of Signal in the Spiked Rectangular ModelsInternational Conference on Machine Learning (ICML), 2021
Ji Hyung Jung
Hye Won Chung
J. Lee
368
11
0
28 Apr 2021
Contiguity under high dimensional Gaussianity with applications to
  covariance testing
Contiguity under high dimensional Gaussianity with applications to covariance testingThe Annals of Applied Probability (Ann. Appl. Probab.), 2021
Q. Han
Tiefeng Jiang
Yandi Shen
381
3
0
26 Jan 2021
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
336
2
0
15 Dec 2020
Contextual Stochastic Block Model: Sharp Thresholds and Contiguity
Contextual Stochastic Block Model: Sharp Thresholds and ContiguityJournal of machine learning research (JMLR), 2020
Chen Lu
S. Sen
294
23
0
15 Nov 2020
Weak Detection in the Spiked Wigner Model with General Rank
Weak Detection in the Spiked Wigner Model with General Rank
Ji Hyung Jung
Hye Won Chung
J. Lee
402
14
0
16 Jan 2020
Subexponential-Time Algorithms for Sparse PCA
Subexponential-Time Algorithms for Sparse PCAFoundations of Computational Mathematics (FoCM), 2019
Yunzi Ding
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
627
75
0
26 Jul 2019
Asymptotic joint distribution of extreme eigenvalues and trace of large
  sample covariance matrix in a generalized spiked population model
Asymptotic joint distribution of extreme eigenvalues and trace of large sample covariance matrix in a generalized spiked population modelAnnals of Statistics (Ann. Stat.), 2019
Zeng Li
Fang Han
Jianfeng Yao
190
22
0
23 Jun 2019
Rapid evaluation of the spectral signal detection threshold and
  Stieltjes transform
Rapid evaluation of the spectral signal detection threshold and Stieltjes transform
W. Leeb
397
8
0
26 Apr 2019
Optimal Covariance Estimation for Condition Number Loss in the Spiked
  Model
Optimal Covariance Estimation for Condition Number Loss in the Spiked Model
D. Donoho
Behrooz Ghorbani
289
7
0
17 Oct 2018
Adapting to Unknown Noise Distribution in Matrix Denoising
Adapting to Unknown Noise Distribution in Matrix Denoising
Andrea Montanari
Feng Ruan
Jun Yan
351
13
0
06 Oct 2018
Weak detection in the spiked Wigner model
Weak detection in the spiked Wigner modelIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2018
Hye Won Chung
J. Lee
309
6
0
28 Sep 2018
Phase transition in random tensors with multiple independent spikes
Phase transition in random tensors with multiple independent spikes
Wei-Kuo Chen
Madeline Handschy
Gilad Lerman
332
14
0
18 Sep 2018
Contextual Stochastic Block Models
Contextual Stochastic Block Models
Y. Deshpande
Andrea Montanari
Elchanan Mossel
S. Sen
409
190
0
23 Jul 2018
Optimality and Sub-optimality of PCA I: Spiked Random Matrix Models
Optimality and Sub-optimality of PCA I: Spiked Random Matrix ModelsAnnals of Statistics (Ann. Stat.), 2018
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
Ankur Moitra
481
125
0
02 Jul 2018
Fundamental limits of detection in the spiked Wigner model
Fundamental limits of detection in the spiked Wigner model
A. Alaoui
Florent Krzakala
Sai Li
270
53
0
25 Jun 2018
Phase transitions in spiked matrix estimation: information-theoretic
  analysis
Phase transitions in spiked matrix estimation: information-theoretic analysis
Léo Miolane
442
20
0
12 Jun 2018
On the detection of low rank matrices in the high-dimensional regime
On the detection of low rank matrices in the high-dimensional regime
A. Chevreuil
P. Loubaton
198
1
0
13 Apr 2018
Complex energy landscapes in spiked-tensor and simple glassy models:
  ruggedness, arrangements of local minima and phase transitions
Complex energy landscapes in spiked-tensor and simple glassy models: ruggedness, arrangements of local minima and phase transitions
V. Ros
Gerard Ben Arous
Giulio Biroli
C. Cammarota
282
114
0
08 Apr 2018
Asymptotic normality and analysis of variance of log-likelihood ratios
  in spiked random matrix models
Asymptotic normality and analysis of variance of log-likelihood ratios in spiked random matrix models
Debapratim Banerjee
Zongming Ma
252
6
0
02 Apr 2018
High-dimensional covariance matrices in elliptical distributions with
  application to spherical test
High-dimensional covariance matrices in elliptical distributions with application to spherical test
Jiang Hu
Weiming Li
Zhi Liu
Wang Zhou
169
44
0
21 Mar 2018
Detection limits in the high-dimensional spiked rectangular model
Detection limits in the high-dimensional spiked rectangular model
A. Alaoui
Sai Li
321
21
0
20 Feb 2018
Statistical and Computational Limits for Sparse Matrix Detection
Statistical and Computational Limits for Sparse Matrix Detection
T. Tony Cai
Yihong Wu
200
20
0
01 Jan 2018
Phase transition in the spiked random tensor with Rademacher prior
Phase transition in the spiked random tensor with Rademacher prior
Wei-Kuo Chen
359
44
0
05 Dec 2017
Finite Size Corrections and Likelihood Ratio Fluctuations in the Spiked
  Wigner Model
Finite Size Corrections and Likelihood Ratio Fluctuations in the Spiked Wigner Model
A. Alaoui
Florent Krzakala
Sai Li
241
21
0
09 Oct 2017
Permutation methods for factor analysis and PCA
Permutation methods for factor analysis and PCA
Guang Cheng
413
60
0
02 Oct 2017
Power in High-Dimensional Testing Problems
Power in High-Dimensional Testing Problems
Anders Bredahl Kock
David Preinerstorfer
496
21
0
13 Sep 2017
Optimal prediction in the linearly transformed spiked model
Optimal prediction in the linearly transformed spiked model
Edgar Dobriban
W. Leeb
A. Singer
309
21
0
07 Sep 2017
Optimal hypothesis testing for stochastic block models with growing
  degrees
Optimal hypothesis testing for stochastic block models with growing degrees
Debapratim Banerjee
Zongming Ma
268
61
0
15 May 2017
Statistical limits of spiked tensor models
Statistical limits of spiked tensor modelsAnnales De L Institut Henri Poincare-probabilites Et Statistiques (Ann. Inst. Henri Poincaré Probab. Stat.), 2016
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
321
82
0
22 Dec 2016
Optimality and Sub-optimality of PCA for Spiked Random Matrices and
  Synchronization
Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
Ankur Moitra
350
63
0
19 Sep 2016
Detecting Rare and Weak Spikes in Large Covariance Matrices
Detecting Rare and Weak Spikes in Large Covariance Matrices
Z. Ke
305
10
0
04 Sep 2016
Sharp detection in PCA under correlations: all eigenvalues matter
Sharp detection in PCA under correlations: all eigenvalues matter
Guang Cheng
248
35
0
22 Feb 2016
Testing in high-dimensional spiked models
Testing in high-dimensional spiked models
Iain M. Johnstone
A. Onatski
386
60
0
24 Sep 2015
The Spectral Norm of Random Inner-Product Kernel Matrices
The Spectral Norm of Random Inner-Product Kernel Matrices
Z. Fan
Andrea Montanari
700
56
0
19 Jul 2015
Optimal Two-Sided Tests for Instrumental Variables Regression with
  Heteroskedastic and Autocorrelated Errors
Optimal Two-Sided Tests for Instrumental Variables Regression with Heteroskedastic and Autocorrelated ErrorsJournal of Econometrics (JE), 2015
Humberto Moreira
Marcelo J. Moreira
166
45
0
25 May 2015
Testing uniformity on high-dimensional spheres against monotone
  rotationally symmetric alternatives
Testing uniformity on high-dimensional spheres against monotone rotationally symmetric alternatives
Christine Cutting
D. Paindaveine
Thomas Verdebout
637
25
0
07 Feb 2015
On the limitation of spectral methods: From the Gaussian hidden clique
  problem to rank one perturbations of Gaussian tensors
On the limitation of spectral methods: From the Gaussian hidden clique problem to rank one perturbations of Gaussian tensorsIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2014
Andrea Montanari
Daniel Reichman
Ofer Zeitouni
214
93
0
22 Nov 2014
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