Antoine Maillard | DeepAI

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∙ 07/03/2023

Fitting an ellipsoid to a quadratic number of random points

We consider the problem (P) of fitting n standard Gaussian random vector...

0 Afonso S. Bandeira, et al. ∙

∙ 02/27/2023

Injectivity of ReLU networks: perspectives from statistical physics

When can the input of a ReLU neural network be inferred from its output?...

0 Antoine Maillard, et al. ∙

∙ 09/05/2022

On free energy barriers in Gaussian priors and failure of MCMC for high-dimensional unimodal distributions

We exhibit examples of high-dimensional unimodal posterior distributions...

6 Afonso S. Bandeira, et al. ∙

∙ 06/17/2022

A remark on Kashin's discrepancy argument and partial coloring in the Komlós conjecture

In this expository note, we discuss an early partial coloring result of ...

0 Afonso S. Bandeira, et al. ∙

∙ 03/15/2022

Optimal denoising of rotationally invariant rectangular matrices

In this manuscript we consider denoising of large rectangular matrices: ...

0 Emanuele Troiani, et al. ∙

∙ 10/17/2021

Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising

Factorization of matrices where the rank of the two factors diverges lin...

0 Antoine Maillard, et al. ∙

∙ 12/08/2020

Construction of optimal spectral methods in phase retrieval

We consider the phase retrieval problem, in which the observer wishes to...

0 Antoine Maillard, et al. ∙

∙ 08/21/2020

Large Deviations of Extreme Eigenvalues of Generalized Sample Covariance Matrices

Very rare events in which the largest eigenvalue of a random matrix is a...

0 Antoine Maillard, et al. ∙

∙ 06/09/2020

Phase retrieval in high dimensions: Statistical and computational phase transitions

We consider the phase retrieval problem of reconstructing a n-dimensiona...

0 Antoine Maillard, et al. ∙

∙ 12/04/2019

Landscape Complexity for the Empirical Risk of Generalized Linear Models

We present a method to obtain the average and the typical value of the n...

11 Antoine Maillard, et al. ∙

∙ 06/20/2019

High-temperature Expansions and Message Passing Algorithms

Improved mean-field technics are a central theme of statistical physics ...

0 Antoine Maillard, et al. ∙

∙ 05/29/2019

The spiked matrix model with generative priors

Using a low-dimensional parametrization of signals is a generic and powe...

0 Benjamin Aubin, et al. ∙

∙ 06/14/2018

The committee machine: Computational to statistical gaps in learning a two-layers neural network

Heuristic tools from statistical physics have been used in the past to l...

6 Benjamin Aubin, et al. ∙

∙ 02/25/2018

The Mutual Information in Random Linear Estimation Beyond i.i.d. Matrices

There has been definite progress recently in proving the variational sin...

0 Jean Barbier, et al. ∙

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