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Information-theoretically Optimal Sparse PCA

Information-theoretically Optimal Sparse PCA

10 February 2014
Y. Deshpande
Andrea Montanari
ArXivPDFHTML

Papers citing "Information-theoretically Optimal Sparse PCA"

24 / 24 papers shown
Title
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Analysis of High-dimensional Gaussian Labeled-unlabeled Mixture Model via Message-passing Algorithm
Xiaosi Gu
Tomoyuki Obuchi
69
0
0
29 Nov 2024
On the phase diagram of extensive-rank symmetric matrix denoising beyond rotational invariance
On the phase diagram of extensive-rank symmetric matrix denoising beyond rotational invariance
Jean Barbier
Francesco Camilli
Justin Ko
Koki Okajima
21
5
0
04 Nov 2024
Fundamental limits of Non-Linear Low-Rank Matrix Estimation
Fundamental limits of Non-Linear Low-Rank Matrix Estimation
Pierre Mergny
Justin Ko
Florent Krzakala
Lenka Zdeborová
27
1
0
07 Mar 2024
Estimation of embedding vectors in high dimensions
Estimation of embedding vectors in high dimensions
G. A. Azar
M. Emami
A. Fletcher
Sundeep Rangan
19
1
0
12 Dec 2023
Meta Sparse Principal Component Analysis
Meta Sparse Principal Component Analysis
Imon Banerjee
Jean Honorio
19
0
0
18 Aug 2022
Subspace clustering in high-dimensions: Phase transitions &
  Statistical-to-Computational gap
Subspace clustering in high-dimensions: Phase transitions & Statistical-to-Computational gap
Luca Pesce
Bruno Loureiro
Florent Krzakala
Lenka Zdeborová
32
1
0
26 May 2022
Approximate Message Passing for orthogonally invariant ensembles:
  Multivariate non-linearities and spectral initialization
Approximate Message Passing for orthogonally invariant ensembles: Multivariate non-linearities and spectral initialization
Xinyi Zhong
Tianhao Wang
Zhou-Yang Fan
27
20
0
05 Oct 2021
The Nonconvex Geometry of Linear Inverse Problems
The Nonconvex Geometry of Linear Inverse Problems
Armin Eftekhari
Peyman Mohajerin Esfahani
13
1
0
07 Jan 2021
Information-Theoretic Limits for the Matrix Tensor Product
Information-Theoretic Limits for the Matrix Tensor Product
Galen Reeves
30
29
0
22 May 2020
Subexponential-Time Algorithms for Sparse PCA
Subexponential-Time Algorithms for Sparse PCA
Yunzi Ding
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
20
57
0
26 Jul 2019
Computational Hardness of Certifying Bounds on Constrained PCA Problems
Computational Hardness of Certifying Bounds on Constrained PCA Problems
Afonso S. Bandeira
Dmitriy Kunisky
Alexander S. Wein
18
64
0
19 Feb 2019
Adapting to Unknown Noise Distribution in Matrix Denoising
Adapting to Unknown Noise Distribution in Matrix Denoising
Andrea Montanari
Feng Ruan
Jun Yan
23
13
0
06 Oct 2018
Approximate Survey Propagation for Statistical Inference
Approximate Survey Propagation for Statistical Inference
F. Antenucci
Florent Krzakala
Pierfrancesco Urbani
Lenka Zdeborová
29
21
0
03 Jul 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
18
57
0
29 Mar 2018
Statistical and computational phase transitions in spiked tensor
  estimation
Statistical and computational phase transitions in spiked tensor estimation
T. Lesieur
Léo Miolane
Marc Lelarge
Florent Krzakala
Lenka Zdeborová
23
115
0
27 Jan 2017
Statistical limits of spiked tensor models
Statistical limits of spiked tensor models
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
16
76
0
22 Dec 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
23
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
Mutual information for symmetric rank-one matrix estimation: A proof of
  the replica formula
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
Jean Barbier
M. Dia
N. Macris
Florent Krzakala
T. Lesieur
Lenka Zdeborova
22
172
0
13 Jun 2016
Finite Sample Analysis of Approximate Message Passing Algorithms
Finite Sample Analysis of Approximate Message Passing Algorithms
Cynthia Rush
R. Venkataramanan
16
58
0
06 Jun 2016
False Discoveries Occur Early on the Lasso Path
False Discoveries Occur Early on the Lasso Path
Weijie Su
M. Bogdan
Emmanuel Candes
24
180
0
05 Nov 2015
Asymptotic Mutual Information for the Two-Groups Stochastic Block Model
Asymptotic Mutual Information for the Two-Groups Stochastic Block Model
Y. Deshpande
Emmanuel Abbe
Andrea Montanari
25
56
0
30 Jul 2015
Phase transitions and sample complexity in Bayes-optimal matrix
  factorization
Phase transitions and sample complexity in Bayes-optimal matrix factorization
Y. Kabashima
Florent Krzakala
M. Mézard
A. Sakata
Lenka Zdeborová
58
105
0
06 Feb 2014
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