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1202.5070
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Optimal detection of sparse principal components in high dimension
23 February 2012
Quentin Berthet
Philippe Rigollet
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Papers citing
"Optimal detection of sparse principal components in high dimension"
49 / 49 papers shown
Title
Minimax rates in variance and covariance changepoint testing
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Robust Sparse Estimation for Gaussians with Optimal Error under Huber Contamination
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Sharp Analysis of Power Iteration for Tensor PCA
Yuchen Wu
Kangjie Zhou
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02 Jan 2024
Approximate message passing from random initialization with applications to
Z
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\mathbb{Z}_{2}
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synchronization
Gen Li
Wei Fan
Yuting Wei
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07 Feb 2023
Sparse PCA With Multiple Components
Ryan Cory-Wright
J. Pauphilet
37
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29 Sep 2022
Robust Testing in High-Dimensional Sparse Models
Anand George
C. Canonne
38
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16 May 2022
Entrywise Recovery Guarantees for Sparse PCA via Sparsistent Algorithms
Joshua Agterberg
Jeremias Sulam
26
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08 Feb 2022
Classification of high-dimensional data with spiked covariance matrix structure
Yin-Jen Chen
M. Tang
62
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05 Oct 2021
Sparse principal component analysis for high-dimensional stationary time series
Kou Fujimori
Yuichi Goto
Yong-Jin Liu
M. Taniguchi
25
2
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01 Sep 2021
The Nonconvex Geometry of Linear Inverse Problems
Armin Eftekhari
Peyman Mohajerin Esfahani
26
1
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07 Jan 2021
Optimal multiple change-point detection for high-dimensional data
Emmanuel Pilliat
Alexandra Carpentier
Nicolas Verzélen
38
14
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16 Nov 2020
Computationally efficient sparse clustering
Matthias Löffler
Alexander S. Wein
Afonso S. Bandeira
33
14
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21 May 2020
Tensor Clustering with Planted Structures: Statistical Optimality and Computational Limits
Yuetian Luo
Anru R. Zhang
35
44
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21 May 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage
Matthew Brennan
Guy Bresler
29
86
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16 May 2020
The estimation error of general first order methods
Michael Celentano
Andrea Montanari
Yuchen Wu
14
44
0
28 Feb 2020
Balancing Gaussian vectors in high dimension
Paxton Turner
Raghu Meka
Philippe Rigollet
31
25
0
30 Oct 2019
Estimation of Wasserstein distances in the Spiked Transport Model
Jonathan Niles-Weed
Philippe Rigollet
25
102
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16 Sep 2019
Subexponential-Time Algorithms for Sparse PCA
Yunzi Ding
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
30
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26 Jul 2019
Minimax rates in sparse, high-dimensional changepoint detection
Haoyang Liu
Chao Gao
R. Samworth
24
46
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23 Jul 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
22
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11 Apr 2019
Optimal Average-Case Reductions to Sparse PCA: From Weak Assumptions to Strong Hardness
Matthew Brennan
Guy Bresler
29
50
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20 Feb 2019
Universality of Computational Lower Bounds for Submatrix Detection
Matthew Brennan
Guy Bresler
Wasim Huleihel
35
26
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19 Feb 2019
High-Temperature Structure Detection in Ferromagnets
Yuan Cao
Matey Neykov
Han Liu
24
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21 Sep 2018
Wald Statistics in high-dimensional PCA
Matthias Loffler
23
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10 May 2018
Notes on computational-to-statistical gaps: predictions using statistical physics
Afonso S. Bandeira
Amelia Perry
Alexander S. Wein
AI4CE
25
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29 Mar 2018
High-dimensional covariance matrices in elliptical distributions with application to spherical test
Jiang Hu
Weiming Li
Zhi Liu
Wang Zhou
22
36
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21 Mar 2018
Hypothesis Testing for High-Dimensional Multinomials: A Selective Review
Sivaraman Balakrishnan
Larry A. Wasserman
21
63
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17 Dec 2017
Two-sample Hypothesis Testing for Inhomogeneous Random Graphs
D. Ghoshdastidar
Maurilio Gutzeit
Alexandra Carpentier
U. V. Luxburg
32
54
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04 Jul 2017
Hypothesis Testing For Densities and High-Dimensional Multinomials: Sharp Local Minimax Rates
Sivaraman Balakrishnan
Larry A. Wasserman
11
50
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30 Jun 2017
Tensor SVD: Statistical and Computational Limits
Anru R. Zhang
Dong Xia
21
166
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08 Mar 2017
Robust Sparse Estimation Tasks in High Dimensions
Jerry Li
53
27
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20 Feb 2017
Homotopy Analysis for Tensor PCA
Anima Anandkumar
Yuan-bei Deng
Rong Ge
H. Mobahi
30
43
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28 Oct 2016
Message-passing algorithms for synchronization problems over compact groups
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
Ankur Moitra
31
81
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14 Oct 2016
Optimality and Sub-optimality of PCA for Spiked Random Matrices and Synchronization
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
Ankur Moitra
24
59
0
19 Sep 2016
Information-theoretic bounds and phase transitions in clustering, sparse PCA, and submatrix localization
Jessica E. Banks
Cristopher Moore
Nicolas Verzélen
Roman Vershynin
Jiaming Xu
29
74
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18 Jul 2016
The use of deep learning in image segmentation, classification and detection
Mihai-Sorin Badea
Iulian-Ionut Felea
L. Florea
C. Vertan
44
20
0
31 May 2016
Finding a Large Submatrix of a Gaussian Random Matrix
D. Gamarnik
Quan Li
30
28
0
26 Feb 2016
Multidimensional two-component Gaussian mixtures detection
Béatrice Laurent
C. Marteau
C. Maugis-Rabusseau
CoGe
10
5
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30 Sep 2015
The Spectral Norm of Random Inner-Product Kernel Matrices
Z. Fan
Andrea Montanari
24
47
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19 Jul 2015
Detecting Markov Random Fields Hidden in White Noise
E. Arias-Castro
Sébastien Bubeck
Gábor Lugosi
Nicolas Verzélen
45
12
0
27 Apr 2015
Detection of Planted Solutions for Flat Satisfiability Problems
Quentin Berthet
J. Ellenberg
32
6
0
21 Feb 2015
Asymptotics of Empirical Eigen-structure for Ultra-high Dimensional Spiked Covariance Model
Jianqing Fan
Weichen Wang
23
42
0
16 Feb 2015
Testing uniformity on high-dimensional spheres against monotone rotationally symmetric alternatives
Christine Cutting
D. Paindaveine
Thomas Verdebout
34
21
0
07 Feb 2015
Computational and Statistical Boundaries for Submatrix Localization in a Large Noisy Matrix
T. Tony Cai
Tengyuan Liang
Alexander Rakhlin
32
61
0
06 Feb 2015
Statistical and computational trade-offs in estimation of sparse principal components
Tengyao Wang
Quentin Berthet
R. Samworth
58
136
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22 Aug 2014
High Dimensional Semiparametric Scale-Invariant Principal Component Analysis
Fang Han
Han Liu
45
16
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18 Feb 2014
Jointly Clustering Rows and Columns of Binary Matrices: Algorithms and Trade-offs
Jiaming Xu
Rui Wu
Kai Zhu
Bruce Hajek
R. Srikant
Lei Ying
68
44
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01 Oct 2013
Computational barriers in minimax submatrix detection
Zongming Ma
Yihong Wu
39
149
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23 Sep 2013
Sparse Principal Component Analysis with missing observations
Karim Lounici
63
43
0
31 May 2012
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