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MMSE of probabilistic low-rank matrix estimation: Universality with
  respect to the output channel

MMSE of probabilistic low-rank matrix estimation: Universality with respect to the output channel

14 July 2015
T. Lesieur
Florent Krzakala
Lenka Zdeborová
ArXivPDFHTML

Papers citing "MMSE of probabilistic low-rank matrix estimation: Universality with respect to the output channel"

32 / 32 papers shown
Title
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
37
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
37
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
32
1
0
12 Dec 2023
The Decimation Scheme for Symmetric Matrix Factorization
The Decimation Scheme for Symmetric Matrix Factorization
Francesco Camilli
Marc Mézard
15
12
0
31 Jul 2023
Average-Case Complexity of Tensor Decomposition for Low-Degree
  Polynomials
Average-Case Complexity of Tensor Decomposition for Low-Degree Polynomials
Alexander S. Wein
27
9
0
10 Nov 2022
Equivalence of state equations from different methods in
  High-dimensional Regression
Equivalence of state equations from different methods in High-dimensional Regression
Saidi Luo
Songtao Tian
13
0
0
25 Sep 2022
The Franz-Parisi Criterion and Computational Trade-offs in High
  Dimensional Statistics
The Franz-Parisi Criterion and Computational Trade-offs in High Dimensional Statistics
Afonso S. Bandeira
A. Alaoui
Samuel B. Hopkins
T. Schramm
Alexander S. Wein
Ilias Zadik
45
28
0
19 May 2022
Inferring Hidden Structures in Random Graphs
Inferring Hidden Structures in Random Graphs
Wasim Huleihel
19
7
0
05 Oct 2021
Algorithmic Obstructions in the Random Number Partitioning Problem
Algorithmic Obstructions in the Random Number Partitioning Problem
D. Gamarnik
Eren C. Kizildaug
21
21
0
02 Mar 2021
Information-Theoretic Limits for the Matrix Tensor Product
Information-Theoretic Limits for the Matrix Tensor Product
Galen Reeves
34
29
0
22 May 2020
Reducibility and Statistical-Computational Gaps from Secret Leakage
Reducibility and Statistical-Computational Gaps from Secret Leakage
Matthew Brennan
Guy Bresler
33
86
0
16 May 2020
Notes on Computational Hardness of Hypothesis Testing: Predictions using
  the Low-Degree Likelihood Ratio
Notes on Computational Hardness of Hypothesis Testing: Predictions using the Low-Degree Likelihood Ratio
Dmitriy Kunisky
Alexander S. Wein
Afonso S. Bandeira
29
136
0
26 Jul 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
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
20
64
0
19 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
Rank-one matrix estimation: analysis of algorithmic and information
  theoretic limits by the spatial coupling method
Rank-one matrix estimation: analysis of algorithmic and information theoretic limits by the spatial coupling method
Jean Barbier
M. Dia
N. Macris
Florent Krzakala
Lenka Zdeborová
36
24
0
06 Dec 2018
Statistical mechanics of low-rank tensor decomposition
Statistical mechanics of low-rank tensor decomposition
Jonathan Kadmon
Surya Ganguli
16
18
0
23 Oct 2018
Adapting to Unknown Noise Distribution in Matrix Denoising
Adapting to Unknown Noise Distribution in Matrix Denoising
Andrea Montanari
Feng Ruan
Jun Yan
31
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
34
21
0
03 Jul 2018
Application of information-percolation method to reconstruction problems
  on graphs
Application of information-percolation method to reconstruction problems on graphs
Yury Polyanskiy
Yihong Wu
14
9
0
11 Jun 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
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
31
116
0
27 Jan 2017
Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate
  Message Passing and Applications
Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate Message Passing and Applications
T. Lesieur
Florent Krzakala
Lenka Zdeborová
34
124
0
03 Jan 2017
Statistical limits of spiked tensor models
Statistical limits of spiked tensor models
Amelia Perry
Alexander S. Wein
Afonso S. Bandeira
21
77
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
34
82
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
34
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
37
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
27
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
31
58
0
06 Jun 2016
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
35
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
63
106
0
06 Feb 2014
Hiding Quiet Solutions in Random Constraint Satisfaction Problems
Hiding Quiet Solutions in Random Constraint Satisfaction Problems
Florent Krzakala
Lenka Zdeborová
67
110
0
14 Jan 2009
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