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Optimal Errors and Phase Transitions in High-Dimensional Generalized
  Linear Models

Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models

10 August 2017
Jean Barbier
Florent Krzakala
N. Macris
Léo Miolane
Lenka Zdeborová
ArXivPDFHTML

Papers citing "Optimal Errors and Phase Transitions in High-Dimensional Generalized Linear Models"

42 / 142 papers shown
Title
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
15
35
0
14 Jun 2020
Nonasymptotic Guarantees for Spiked Matrix Recovery with Generative
  Priors
Nonasymptotic Guarantees for Spiked Matrix Recovery with Generative Priors
Jorio Cocola
Paul Hand
V. Voroninski
12
4
0
14 Jun 2020
Complex Dynamics in Simple Neural Networks: Understanding Gradient Flow
  in Phase Retrieval
Complex Dynamics in Simple Neural Networks: Understanding Gradient Flow in Phase Retrieval
Stefano Sarao Mannelli
Giulio Biroli
C. Cammarota
Florent Krzakala
Pierfrancesco Urbani
Lenka Zdeborová
10
28
0
12 Jun 2020
Generalization error in high-dimensional perceptrons: Approaching Bayes
  error with convex optimization
Generalization error in high-dimensional perceptrons: Approaching Bayes error with convex optimization
Benjamin Aubin
Florent Krzakala
Yue M. Lu
Lenka Zdeborová
26
54
0
11 Jun 2020
Phase retrieval in high dimensions: Statistical and computational phase
  transitions
Phase retrieval in high dimensions: Statistical and computational phase transitions
Antoine Maillard
Bruno Loureiro
Florent Krzakala
Lenka Zdeborová
26
58
0
09 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
Reducibility and Statistical-Computational Gaps from Secret Leakage
Reducibility and Statistical-Computational Gaps from Secret Leakage
Matthew Brennan
Guy Bresler
31
86
0
16 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
19
14
0
16 May 2020
Generalization Error of Generalized Linear Models in High Dimensions
Generalization Error of Generalized Linear Models in High Dimensions
M Motavali Emami
Mojtaba Sahraee-Ardakan
Parthe Pandit
S. Rangan
A. Fletcher
AI4CE
22
37
0
01 May 2020
Online stochastic gradient descent on non-convex losses from
  high-dimensional inference
Online stochastic gradient descent on non-convex losses from high-dimensional inference
Gerard Ben Arous
Reza Gheissari
Aukosh Jagannath
17
82
0
23 Mar 2020
Semi-analytic approximate stability selection for correlated data in
  generalized linear models
Semi-analytic approximate stability selection for correlated data in generalized linear models
Takashi Takahashi
Y. Kabashima
6
4
0
19 Mar 2020
The estimation error of general first order methods
The estimation error of general first order methods
Michael Celentano
Andrea Montanari
Yuchen Wu
16
44
0
28 Feb 2020
Generalisation error in learning with random features and the hidden
  manifold model
Generalisation error in learning with random features and the hidden manifold model
Federica Gerace
Bruno Loureiro
Florent Krzakala
M. Mézard
Lenka Zdeborová
25
166
0
21 Feb 2020
Asymptotic errors for convex penalized linear regression beyond Gaussian
  matrices
Asymptotic errors for convex penalized linear regression beyond Gaussian matrices
Cédric Gerbelot
A. Abbara
Florent Krzakala
34
16
0
11 Feb 2020
Inference in Multi-Layer Networks with Matrix-Valued Unknowns
Inference in Multi-Layer Networks with Matrix-Valued Unknowns
Parthe Pandit
Mojtaba Sahraee-Ardakan
S. Rangan
P. Schniter
A. Fletcher
23
6
0
26 Jan 2020
The Asymptotic Distribution of the MLE in High-dimensional Logistic
  Models: Arbitrary Covariance
The Asymptotic Distribution of the MLE in High-dimensional Logistic Models: Arbitrary Covariance
Qian Zhao
Pragya Sur
Emmanuel J. Candès
14
35
0
25 Jan 2020
Analysis of Bayesian Inference Algorithms by the Dynamical Functional
  Approach
Analysis of Bayesian Inference Algorithms by the Dynamical Functional Approach
Burak Çakmak
Manfred Opper
12
4
0
14 Jan 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
All-or-Nothing Phenomena: From Single-Letter to High Dimensions
All-or-Nothing Phenomena: From Single-Letter to High Dimensions
Galen Reeves
Jiaming Xu
Ilias Zadik
8
16
0
30 Dec 2019
An improper estimator with optimal excess risk in misspecified density
  estimation and logistic regression
An improper estimator with optimal excess risk in misspecified density estimation and logistic regression
Jaouad Mourtada
Stéphane Gaïffas
38
27
0
23 Dec 2019
Large deviations for the perceptron model and consequences for active
  learning
Large deviations for the perceptron model and consequences for active learning
Hugo Cui
Luca Saglietti
Lenka Zdeborová
19
11
0
09 Dec 2019
Rademacher complexity and spin glasses: A link between the replica and
  statistical theories of learning
Rademacher complexity and spin glasses: A link between the replica and statistical theories of learning
A. Abbara
Benjamin Aubin
Florent Krzakala
Lenka Zdeborová
30
13
0
05 Dec 2019
Exact asymptotics for phase retrieval and compressed sensing with random
  generative priors
Exact asymptotics for phase retrieval and compressed sensing with random generative priors
Benjamin Aubin
Bruno Loureiro
Antoine Baker
Florent Krzakala
Lenka Zdeborová
20
35
0
04 Dec 2019
Inference with Deep Generative Priors in High Dimensions
Inference with Deep Generative Priors in High Dimensions
Jillian R. Fisher
Mojtaba Sahraee-Ardakan
S. Rangan
Zaid Harchaoui
Yejin Choi
BDL
25
46
0
08 Nov 2019
Information Theoretic Limits for Phase Retrieval with Subsampled Haar
  Sensing Matrices
Information Theoretic Limits for Phase Retrieval with Subsampled Haar Sensing Matrices
Rishabh Dudeja
Junjie Ma
A. Maleki
9
8
0
25 Oct 2019
Modelling the influence of data structure on learning in neural
  networks: the hidden manifold model
Modelling the influence of data structure on learning in neural networks: the hidden manifold model
Sebastian Goldt
M. Mézard
Florent Krzakala
Lenka Zdeborová
BDL
29
51
0
25 Sep 2019
Concentration of the matrix-valued minimum mean-square error in optimal
  Bayesian inference
Concentration of the matrix-valued minimum mean-square error in optimal Bayesian inference
Jean Barbier
17
1
0
15 Jul 2019
Asymptotic Bayes risk for Gaussian mixture in a semi-supervised setting
Asymptotic Bayes risk for Gaussian mixture in a semi-supervised setting
Marc Lelarge
Léo Miolane
14
28
0
08 Jul 2019
Understanding Phase Transitions via Mutual Information and MMSE
Understanding Phase Transitions via Mutual Information and MMSE
Galen Reeves
H. Pfister
22
7
0
03 Jul 2019
On the Universality of Noiseless Linear Estimation with Respect to the
  Measurement Matrix
On the Universality of Noiseless Linear Estimation with Respect to the Measurement Matrix
A. Abbara
Antoine Baker
Florent Krzakala
Lenka Zdeborová
17
12
0
11 Jun 2019
The spiked matrix model with generative priors
The spiked matrix model with generative priors
Benjamin Aubin
Bruno Loureiro
Antoine Maillard
Florent Krzakala
Lenka Zdeborová
11
52
0
29 May 2019
Asymptotic learning curves of kernel methods: empirical data v.s.
  Teacher-Student paradigm
Asymptotic learning curves of kernel methods: empirical data v.s. Teacher-Student paradigm
S. Spigler
Mario Geiger
M. Wyart
22
38
0
26 May 2019
Generalized Approximate Survey Propagation for High-Dimensional
  Estimation
Generalized Approximate Survey Propagation for High-Dimensional Estimation
Luca Saglietti
Yue M. Lu
C. Lucibello
28
11
0
13 May 2019
On the computational tractability of statistical estimation on amenable
  graphs
On the computational tractability of statistical estimation on amenable graphs
Ahmed El Alaoui
Andrea Montanari
14
6
0
05 Apr 2019
Fundamental Barriers to High-Dimensional Regression with Convex
  Penalties
Fundamental Barriers to High-Dimensional Regression with Convex Penalties
Michael Celentano
Andrea Montanari
33
46
0
25 Mar 2019
Large dimensional analysis of general margin based classification
  methods
Large dimensional analysis of general margin based classification methods
Hanwen Huang
Qinglong Yang
6
7
0
23 Jan 2019
Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional
  Inference
Marvels and Pitfalls of the Langevin Algorithm in Noisy High-dimensional Inference
Stefano Sarao Mannelli
Giulio Biroli
C. Cammarota
Florent Krzakala
Pierfrancesco Urbani
Lenka Zdeborová
17
45
0
21 Dec 2018
The distribution of the Lasso: Uniform control over sparse balls and
  adaptive parameter tuning
The distribution of the Lasso: Uniform control over sparse balls and adaptive parameter tuning
Léo Miolane
Andrea Montanari
20
92
0
03 Nov 2018
The committee machine: Computational to statistical gaps in learning a
  two-layers neural network
The committee machine: Computational to statistical gaps in learning a two-layers neural network
Benjamin Aubin
Antoine Maillard
Jean Barbier
Florent Krzakala
N. Macris
Lenka Zdeborová
46
104
0
14 Jun 2018
Entropy and mutual information in models of deep neural networks
Entropy and mutual information in models of deep neural networks
Marylou Gabrié
Andre Manoel
Clément Luneau
Jean Barbier
N. Macris
Florent Krzakala
Lenka Zdeborová
30
179
0
24 May 2018
Optimization-based AMP for Phase Retrieval: The Impact of Initialization
  and $\ell_2$-regularization
Optimization-based AMP for Phase Retrieval: The Impact of Initialization and ℓ2\ell_2ℓ2​-regularization
Junjie Ma
Ji Xu
A. Maleki
46
53
0
03 Jan 2018
A New Approach to Laplacian Solvers and Flow Problems
A New Approach to Laplacian Solvers and Flow Problems
Patrick Rebeschini
S. Tatikonda
29
8
0
22 Nov 2016
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