Antoine Maillard

Antoine Maillard

Postdoc - Hermann Weyl Instructor

ETH Zurich

About me

I am a Hermann-Weyl Instructor (postdoc) in ETH Zurich, mentored by Afonso S. Bandeira.

My research is at the intersection of high-dimensional statistics, statistical physics, information theory and random matrix theory.

I defended my PhD in Theoretical Physics on August 30th 2021, which I prepared in Ecole Normale Supérieure de Paris, under the supervision of Florent Krzakala and Lenka Zdeborová. I am very glad to have received the 2021 Daniel Guinier Prize of the French Physical Society for it! You can find my PhD thesis here.

For ETH students following the Spring 2023 lecture “Mathematics of Signals, Networks and Learning”, you can find all relevant information on the forum.

Education

  • PhD in Statistical Physics, 2017 - 2021

    Ecole Normale Supérieure, Paris

  • Masters in Theoretical Physics and in Mathematics, 2014 - 2016

    Ecole Normale Supérieure, Paris

  • Bachelor in Physics and in Mathematics, 2011 - 2014

    Ecole Normale Supérieure, Paris

Recent news

Programs, summer schools, conferences

Daniel Guinier Prize 2021
French Physics Society Oct 3, 2022
I am very glad to have received the Daniel Guinier PhD prize for my thesis which I defended in 2021!
Workshop on spin glasses
workshop Sep 25, 2022 – Sep 30, 2022
Youth in High Dimensions: Recent Progress in Machine Learning, High-Dimensional Statistics and Inference
Workshop Jun 27, 2022 – Jun 30, 2022
Rigorous Evidence for Information-Computation Trade-offs
Online workshop Sep 13, 2021 – Sep 17, 2021
MSML 2021
Online conference Aug 16, 2021 – Aug 21, 2021
Random Matrix Theory and Networks
Online workshop Jun 7, 2021 – Jun 18, 2021
NeurIPS 2020
Online conference Dec 6, 2020 – Dec 12, 2020
Summer Workshop on Statistical Physics and Machine Learning
Ecole de Physique des Houches Aug 3, 2020 – Aug 14, 2020
Visit of Prof. Afonso Bandeira at ETH Zurich
ETH Zurich Feb 10, 2020 – Apr 10, 2020
NeurIPS 2019
Vancouver Convention Center Dec 8, 2019 – Dec 14, 2019
Workshop on science of data science
International Centre for Theoretical Physics Sep 30, 2019 – Oct 4, 2019
The Rough High-Dimensional Landscape Problem
Kavli Institute for Theoretical Physics Jan 1, 2019 – Mar 1, 2019
NeurIPS 2018
Palais des Congrès de Montréal Dec 2, 2018 – Dec 8, 2018
Statistical Physics and Machine Learning back together
Institut d’Études Scientifiques de Cargèse Aug 20, 2018 – Aug 31, 2018
Beg Rohu summer school: Deep Learning and Statistical Physics
Saint Pierre de Quiberon, France Jun 25, 2018 – Jul 7, 2018

Selected talks

Slides/notes of some recent talks

Dec 16, 2022
Phase retrieval with random matrices: phase transitions and optimal spectral methods

MEGA seminar - Institut Henri Poincaré
PDF
Nov 2, 2022
Fundamental limits of high-dimensional estimation

Talk for the Daniel Guinier Prize of the French Physical Society
PDF
Nov 1, 2021
Some advances on extensive-rank matrix factorization and denoising

Seminar at EPFL
PDF
Oct 20, 2021
Landscape complexity for the empirical risk of generalized linear models

Seminar in Probability Theory and Statistics at Universität Basel
PDF
Aug 30, 2021
Fundamental limits of high-dimensional estimation

Slides of my PhD defense.
PDF
See all

Publications & preprints

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Antoine Maillard, Afonso S Bandeira, David Belius, Ivan Dokmanić, Shuta Nakajima
February, 2023 arXiv preprint arXiv:2302.14112
Injectivity of ReLU networks: perspectives from statistical physics
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Jonathan Dong, Lorenzo Valzania, Antoine Maillard, Thanh-an Pham, Sylvain Gigan, Michael Unser
January, 2023 IEEE Signal Processing Magazine
Phase Retrieval: From Computational Imaging to Machine Learning: A tutorial
PDF Cite
Afonso S Bandeira, Antoine Maillard, Richard Nickl, Sven Wang
September, 2022 arXiv preprint arXiv:2209.02001
On free energy barriers in Gaussian priors and failure of MCMC for high-dimensional unimodal distributions
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Emanuele Troiani, Vittorio Erba, Florent Krzakala, Antoine Maillard, Lenka Zdeborová
September, 2022 Mathematical and Scientific Machine Learning
Optimal denoising of rotationally invariant rectangular matrices
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Antoine Maillard, Florent Krzakala, Marc Mézard, Lenka Zdeborová
August, 2022 Journal of Statistical Mechanics: Theory and Experiment
Perturbative construction of mean-field equations in extensive-rank matrix factorization and denoising
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