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Optimal detection of sparse principal components in high dimension

Optimal detection of sparse principal components in high dimension

23 February 2012
Quentin Berthet
Philippe Rigollet
ArXivPDFHTML

Papers citing "Optimal detection of sparse principal components in high dimension"

49 / 49 papers shown
Title
Minimax rates in variance and covariance changepoint testing
Minimax rates in variance and covariance changepoint testing
Per August Jarval Moen
45
0
0
13 May 2024
Robust Sparse Estimation for Gaussians with Optimal Error under Huber
  Contamination
Robust Sparse Estimation for Gaussians with Optimal Error under Huber Contamination
Ilias Diakonikolas
Daniel M. Kane
Sushrut Karmalkar
Ankit Pensia
Thanasis Pittas
34
0
0
15 Mar 2024
Sharp Analysis of Power Iteration for Tensor PCA
Sharp Analysis of Power Iteration for Tensor PCA
Yuchen Wu
Kangjie Zhou
31
0
0
02 Jan 2024
Approximate message passing from random initialization with applications
  to $\mathbb{Z}_{2}$ synchronization
Approximate message passing from random initialization with applications to Z2\mathbb{Z}_{2}Z2​ synchronization
Gen Li
Wei Fan
Yuting Wei
26
10
0
07 Feb 2023
Sparse PCA With Multiple Components
Sparse PCA With Multiple Components
Ryan Cory-Wright
J. Pauphilet
37
2
0
29 Sep 2022
Robust Testing in High-Dimensional Sparse Models
Robust Testing in High-Dimensional Sparse Models
Anand George
C. Canonne
38
3
0
16 May 2022
Entrywise Recovery Guarantees for Sparse PCA via Sparsistent Algorithms
Entrywise Recovery Guarantees for Sparse PCA via Sparsistent Algorithms
Joshua Agterberg
Jeremias Sulam
26
0
0
08 Feb 2022
Classification of high-dimensional data with spiked covariance matrix
  structure
Classification of high-dimensional data with spiked covariance matrix structure
Yin-Jen Chen
M. Tang
62
0
0
05 Oct 2021
Sparse principal component analysis for high-dimensional stationary time
  series
Sparse principal component analysis for high-dimensional stationary time series
Kou Fujimori
Yuichi Goto
Yong-Jin Liu
M. Taniguchi
25
2
0
01 Sep 2021
The Nonconvex Geometry of Linear Inverse Problems
The Nonconvex Geometry of Linear Inverse Problems
Armin Eftekhari
Peyman Mohajerin Esfahani
26
1
0
07 Jan 2021
Optimal multiple change-point detection for high-dimensional data
Optimal multiple change-point detection for high-dimensional data
Emmanuel Pilliat
Alexandra Carpentier
Nicolas Verzélen
38
14
0
16 Nov 2020
Computationally efficient sparse clustering
Computationally efficient sparse clustering
Matthias Löffler
Alexander S. Wein
Afonso S. Bandeira
33
14
0
21 May 2020
Tensor Clustering with Planted Structures: Statistical Optimality and
  Computational Limits
Tensor Clustering with Planted Structures: Statistical Optimality and Computational Limits
Yuetian Luo
Anru R. Zhang
35
44
0
21 May 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage
Reducibility and Statistical-Computational Gaps from Secret Leakage
Matthew Brennan
Guy Bresler
29
86
0
16 May 2020
The estimation error of general first order methods
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
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
Estimation of Wasserstein distances in the Spiked Transport Model
Jonathan Niles-Weed
Philippe Rigollet
25
102
0
16 Sep 2019
Subexponential-Time Algorithms for Sparse PCA
Subexponential-Time Algorithms for Sparse PCA
Yunzi Ding
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
30
57
0
26 Jul 2019
Minimax rates in sparse, high-dimensional changepoint detection
Minimax rates in sparse, high-dimensional changepoint detection
Haoyang Liu
Chao Gao
R. Samworth
24
46
0
23 Jul 2019
Generalized Four Moment Theorem with an application to the CLT for the
  spiked eigenvalues of high-dimensional general Fisher-matrices
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
1
0
11 Apr 2019
Optimal Average-Case Reductions to Sparse PCA: From Weak Assumptions to
  Strong Hardness
Optimal Average-Case Reductions to Sparse PCA: From Weak Assumptions to Strong Hardness
Matthew Brennan
Guy Bresler
29
50
0
20 Feb 2019
Universality of Computational Lower Bounds for Submatrix Detection
Universality of Computational Lower Bounds for Submatrix Detection
Matthew Brennan
Guy Bresler
Wasim Huleihel
35
26
0
19 Feb 2019
High-Temperature Structure Detection in Ferromagnets
High-Temperature Structure Detection in Ferromagnets
Yuan Cao
Matey Neykov
Han Liu
24
10
0
21 Sep 2018
Wald Statistics in high-dimensional PCA
Wald Statistics in high-dimensional PCA
Matthias Loffler
23
1
0
10 May 2018
Notes on computational-to-statistical gaps: predictions using
  statistical physics
Notes on computational-to-statistical gaps: predictions using statistical physics
Afonso S. Bandeira
Amelia Perry
Alexander S. Wein
AI4CE
25
57
0
29 Mar 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
22
36
0
21 Mar 2018
Hypothesis Testing for High-Dimensional Multinomials: A Selective Review
Hypothesis Testing for High-Dimensional Multinomials: A Selective Review
Sivaraman Balakrishnan
Larry A. Wasserman
21
63
0
17 Dec 2017
Two-sample Hypothesis Testing for Inhomogeneous Random Graphs
Two-sample Hypothesis Testing for Inhomogeneous Random Graphs
D. Ghoshdastidar
Maurilio Gutzeit
Alexandra Carpentier
U. V. Luxburg
32
54
0
04 Jul 2017
Hypothesis Testing For Densities and High-Dimensional Multinomials:
  Sharp Local Minimax Rates
Hypothesis Testing For Densities and High-Dimensional Multinomials: Sharp Local Minimax Rates
Sivaraman Balakrishnan
Larry A. Wasserman
11
50
0
30 Jun 2017
Tensor SVD: Statistical and Computational Limits
Tensor SVD: Statistical and Computational Limits
Anru R. Zhang
Dong Xia
21
166
0
08 Mar 2017
Robust Sparse Estimation Tasks in High Dimensions
Robust Sparse Estimation Tasks in High Dimensions
Jerry Li
53
27
0
20 Feb 2017
Homotopy Analysis for Tensor PCA
Homotopy Analysis for Tensor PCA
Anima Anandkumar
Yuan-bei Deng
Rong Ge
H. Mobahi
30
43
0
28 Oct 2016
Message-passing algorithms for synchronization problems over compact
  groups
Message-passing algorithms for synchronization problems over compact groups
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
Ankur Moitra
31
81
0
14 Oct 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
24
59
0
19 Sep 2016
Information-theoretic bounds and phase transitions in clustering, sparse
  PCA, and submatrix localization
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
0
18 Jul 2016
The use of deep learning in image segmentation, classification and
  detection
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
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
Multidimensional two-component Gaussian mixtures detection
Béatrice Laurent
C. Marteau
C. Maugis-Rabusseau
CoGe
10
5
0
30 Sep 2015
The Spectral Norm of Random Inner-Product Kernel Matrices
The Spectral Norm of Random Inner-Product Kernel Matrices
Z. Fan
Andrea Montanari
24
47
0
19 Jul 2015
Detecting Markov Random Fields Hidden in White Noise
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
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
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
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
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
Statistical and computational trade-offs in estimation of sparse principal components
Tengyao Wang
Quentin Berthet
R. Samworth
58
136
0
22 Aug 2014
High Dimensional Semiparametric Scale-Invariant Principal Component
  Analysis
High Dimensional Semiparametric Scale-Invariant Principal Component Analysis
Fang Han
Han Liu
45
16
0
18 Feb 2014
Jointly Clustering Rows and Columns of Binary Matrices: Algorithms and
  Trade-offs
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
0
01 Oct 2013
Computational barriers in minimax submatrix detection
Computational barriers in minimax submatrix detection
Zongming Ma
Yihong Wu
39
149
0
23 Sep 2013
Sparse Principal Component Analysis with missing observations
Sparse Principal Component Analysis with missing observations
Karim Lounici
63
43
0
31 May 2012
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