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Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate
  Message Passing and Applications

Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate Message Passing and Applications

3 January 2017
T. Lesieur
Florent Krzakala
Lenka Zdeborová
ArXivPDFHTML

Papers citing "Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate Message Passing and Applications"

50 / 73 papers shown
Title
Statistical physics analysis of graph neural networks: Approaching optimality in the contextual stochastic block model
O. Duranthon
L. Zdeborová
54
0
0
03 Mar 2025
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
When resampling/reweighting improves feature learning in imbalanced classification?: A toy-model study
When resampling/reweighting improves feature learning in imbalanced classification?: A toy-model study
Tomoyuki Obuchi
Toshiyuki Tanaka
64
0
0
09 Sep 2024
Joint Graph Rewiring and Feature Denoising via Spectral Resonance
Joint Graph Rewiring and Feature Denoising via Spectral Resonance
Jonas Linkerhagner
Cheng Shi
Ivan Dokmanić
44
0
0
13 Aug 2024
Optimal thresholds and algorithms for a model of multi-modal learning in
  high dimensions
Optimal thresholds and algorithms for a model of multi-modal learning in high dimensions
Christian Keup
Lenka Zdeborová
41
0
0
03 Jul 2024
Linear Operator Approximate Message Passing (OpAMP)
Linear Operator Approximate Message Passing (OpAMP)
Riccardo Rossetti
B. Nazer
Galen Reeves
29
2
0
13 May 2024
Inferring Change Points in High-Dimensional Linear Regression via
  Approximate Message Passing
Inferring Change Points in High-Dimensional Linear Regression via Approximate Message Passing
Gabriel Arpino
Xiaoqi Liu
R. Venkataramanan
25
0
0
11 Apr 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
Spectral Phase Transition and Optimal PCA in Block-Structured Spiked
  models
Spectral Phase Transition and Optimal PCA in Block-Structured Spiked models
Pierre Mergny
Justin Ko
Florent Krzakala
38
2
0
06 Mar 2024
Asymptotic generalization error of a single-layer graph convolutional
  network
Asymptotic generalization error of a single-layer graph convolutional network
O. Duranthon
L. Zdeborová
MLT
48
2
0
06 Feb 2024
Learning from higher-order statistics, efficiently: hypothesis tests,
  random features, and neural networks
Learning from higher-order statistics, efficiently: hypothesis tests, random features, and neural networks
Eszter Székely
Lorenzo Bardone
Federica Gerace
Sebastian Goldt
36
2
0
22 Dec 2023
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
Sampling with flows, diffusion and autoregressive neural networks: A
  spin-glass perspective
Sampling with flows, diffusion and autoregressive neural networks: A spin-glass perspective
Davide Ghio
Yatin Dandi
Florent Krzakala
Lenka Zdeborová
DiffM
30
26
0
27 Aug 2023
Sparse Representations, Inference and Learning
Sparse Representations, Inference and Learning
Clarissa Lauditi
Emanuele Troiani
Marc Mézard
AI4CE
11
1
0
28 Jun 2023
Approximate Message Passing for the Matrix Tensor Product Model
Approximate Message Passing for the Matrix Tensor Product Model
Riccardo Rossetti
Galen Reeves
21
8
0
27 Jun 2023
Optimal Inference in Contextual Stochastic Block Models
Optimal Inference in Contextual Stochastic Block Models
O. Duranthon
L. Zdeborová
BDL
45
8
0
06 Jun 2023
Automatic Hyperparameter Tuning in Sparse Matrix Factorization
Automatic Hyperparameter Tuning in Sparse Matrix Factorization
Ryota Kawasumi
K. Takeda
24
1
0
17 May 2023
Mixed Regression via Approximate Message Passing
Mixed Regression via Approximate Message Passing
Nelvin Tan
R. Venkataramanan
19
7
0
05 Apr 2023
Neural-prior stochastic block model
Neural-prior stochastic block model
O. Duranthon
L. Zdeborová
41
3
0
17 Mar 2023
Gradient flow on extensive-rank positive semi-definite matrix denoising
Gradient flow on extensive-rank positive semi-definite matrix denoising
A. Bodin
N. Macris
36
3
0
16 Mar 2023
Optimal Algorithms for the Inhomogeneous Spiked Wigner Model
Optimal Algorithms for the Inhomogeneous Spiked Wigner Model
Aleksandr Pak
Justin Ko
Florent Krzakala
20
9
0
13 Feb 2023
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
Disordered Systems Insights on Computational Hardness
Disordered Systems Insights on Computational Hardness
D. Gamarnik
Cristopher Moore
Lenka Zdeborová
AI4CE
38
33
0
15 Oct 2022
Bayes-optimal limits in structured PCA, and how to reach them
Bayes-optimal limits in structured PCA, and how to reach them
Jean Barbier
Francesco Camilli
Marco Mondelli
Manuel Sáenz
31
5
0
03 Oct 2022
The planted XY model: thermodynamics and inference
The planted XY model: thermodynamics and inference
Siyu Chen
G. Huang
Giovanni Piccioli
Lenka Zdeborová
28
0
0
12 Aug 2022
Low-rank Matrix Estimation with Inhomogeneous Noise
Low-rank Matrix Estimation with Inhomogeneous Noise
A. Guionnet
Justin Ko
Florent Krzakala
Lenka Zdeborová
16
16
0
11 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
40
1
0
26 May 2022
The price of ignorance: how much does it cost to forget noise structure
  in low-rank matrix estimation?
The price of ignorance: how much does it cost to forget noise structure in low-rank matrix estimation?
Jean Barbier
Tianqi Hou
Marco Mondelli
Manuel Sáenz
47
14
0
20 May 2022
Emergent Instabilities in Algorithmic Feedback Loops
Emergent Instabilities in Algorithmic Feedback Loops
Keith Burghardt
Kristina Lerman
15
1
0
18 Jan 2022
When Random Tensors meet Random Matrices
When Random Tensors meet Random Matrices
M. Seddik
M. Guillaud
Romain Couillet
21
16
0
23 Dec 2021
Estimation in Rotationally Invariant Generalized Linear Models via
  Approximate Message Passing
Estimation in Rotationally Invariant Generalized Linear Models via Approximate Message Passing
R. Venkataramanan
Kevin Kögler
Marco Mondelli
27
32
0
08 Dec 2021
Graph-based Approximate Message Passing Iterations
Graph-based Approximate Message Passing Iterations
Cédric Gerbelot
Raphael Berthier
48
47
0
24 Sep 2021
Statistical limits of dictionary learning: random matrix theory and the
  spectral replica method
Statistical limits of dictionary learning: random matrix theory and the spectral replica method
Jean Barbier
N. Macris
39
24
0
14 Sep 2021
Fundamental limits for rank-one matrix estimation with groupwise
  heteroskedasticity
Fundamental limits for rank-one matrix estimation with groupwise heteroskedasticity
Joshua K. Behne
Galen Reeves
11
10
0
22 Jun 2021
PCA Initialization for Approximate Message Passing in Rotationally
  Invariant Models
PCA Initialization for Approximate Message Passing in Rotationally Invariant Models
Marco Mondelli
R. Venkataramanan
24
19
0
04 Jun 2021
Bayesian reconstruction of memories stored in neural networks from their
  connectivity
Bayesian reconstruction of memories stored in neural networks from their connectivity
Sebastian Goldt
Florent Krzakala
Lenka Zdeborová
Nicolas Brunel
22
4
0
16 May 2021
Statistical and computational thresholds for the planted $k$-densest
  sub-hypergraph problem
Statistical and computational thresholds for the planted kkk-densest sub-hypergraph problem
Luca Corinzia
Paolo Penna
Wojtek Szpankowski
J. M. Buhmann
15
6
0
23 Nov 2020
High-dimensional inference: a statistical mechanics perspective
High-dimensional inference: a statistical mechanics perspective
Jean Barbier
AI4CE
14
5
0
28 Oct 2020
Optimal Combination of Linear and Spectral Estimators for Generalized
  Linear Models
Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models
Marco Mondelli
Christos Thrampoulidis
R. Venkataramanan
15
16
0
07 Aug 2020
The All-or-Nothing Phenomenon in Sparse Tensor PCA
The All-or-Nothing Phenomenon in Sparse Tensor PCA
Jonathan Niles-Weed
Ilias Zadik
16
18
0
22 Jul 2020
Free Energy Wells and Overlap Gap Property in Sparse PCA
Free Energy Wells and Overlap Gap Property in Sparse PCA
Gerard Ben Arous
Alexander S. Wein
Ilias Zadik
6
31
0
18 Jun 2020
All-or-nothing statistical and computational phase transitions in sparse
  spiked matrix estimation
All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation
Jean Barbier
N. Macris
Cynthia Rush
17
35
0
14 Jun 2020
Information-Theoretic Limits for the Matrix Tensor Product
Information-Theoretic Limits for the Matrix Tensor Product
Galen Reeves
34
29
0
22 May 2020
Information-theoretic limits of a multiview low-rank symmetric spiked
  matrix model
Information-theoretic limits of a multiview low-rank symmetric spiked matrix model
Jean Barbier
Galen Reeves
21
14
0
16 May 2020
Universality of Approximate Message Passing Algorithms
Universality of Approximate Message Passing Algorithms
Wei-Kuo Chen
Wai-Kit Lam
16
35
0
23 Mar 2020
Thresholds of descending algorithms in inference problems
Thresholds of descending algorithms in inference problems
Stefano Sarao Mannelli
Lenka Zdeborova
AI4CE
24
4
0
02 Jan 2020
Mutual Information in Community Detection with Covariate Information and
  Correlated Networks
Mutual Information in Community Detection with Covariate Information and Correlated Networks
Vaishakhi Mayya
Galen Reeves
16
21
0
11 Dec 2019
0-1 phase transitions in sparse spiked matrix estimation
0-1 phase transitions in sparse spiked matrix estimation
Jean Barbier
N. Macris
15
15
0
12 Nov 2019
Mean-field inference methods for neural networks
Mean-field inference methods for neural networks
Marylou Gabrié
AI4CE
16
33
0
03 Nov 2019
The Overlap Gap Property in Principal Submatrix Recovery
The Overlap Gap Property in Principal Submatrix Recovery
D. Gamarnik
Aukosh Jagannath
S. Sen
19
27
0
26 Aug 2019
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