Antoine Maillard

Antoine Maillard

Postdoc - Hermann Weyl Instructor

ETH Zurich

About me

I am a Hermann-Weyl Instructor at the FIM (Institute for Mathematical Research) and the department of mathematics at ETH Zurich, mentored by Afonso S. Bandeira.

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

Before coming to ETH, I defended my PhD in Theoretical Physics in 2021 in Ecole Normale Supérieure de Paris, under the supervision of Florent Krzakala, and the additional guidance of 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 students, please have look at the teaching section.

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

Statistical physics and machine learning back together again
Cargese summer conference on statistical physics and machine learning July 31, 2023 – August 12, 2023
Applied Probability Society Conference
21st INFORMS Applied Probability Society Conference June 28, 2023 – June 30, 2023
NordStat 2023
29th Nordic Conference in Mathematical Statistics. June 19, 2023 – June 22, 2023
High Dimensional Statistics and Random Matrices
A mathematics conference on the island of Porquerolles. June 11, 2023 – June 17, 2023
Daniel Guinier Prize 2021
French Physics Society October 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 September 25, 2022 – September 30, 2022
Youth in High Dimensions: Recent Progress in Machine Learning, High-Dimensional Statistics and Inference
Workshop June 27, 2022 – June 30, 2022

Slides/notes of talks

Only for non-board talks. A complete list of recent talks is available in my CV

From disordered systems to the mathematics of data science
ARGO Seminar, INRIA Paris.
Feb 12, 2024
PDF
Fitting ellipsoids to random points
Slides for several talks on this topic during the fall of 2023
Dec 1, 2023
PDF
A few challenges in large-rank matrix denoising and factorization
21st INFORMS Applied Probability Society Conference, Nancy
Jun 30, 2023
PDF
A few challenges in large-rank matrix denoising and factorization
29th Nordic Conference in Mathematical Statistics, Gothenburg
Jun 22, 2023
PDF
Injectivity of ReLU networks: perspectives from integral geometry and statistical physics
High Dimensional Statistics and Random Matrices, Porquerolles
Jun 15, 2023
PDF
See all

Publications & preprints

Quickly discover relevant content by filtering publications.
Antoine Maillard, Afonso S Bandeira (2023). Exact threshold for approximate ellipsoid fitting of random points. arXiv preprint arXiv:2310.05787.

PDF Cite

Antoine Maillard, Dmitriy Kunisky (2023). Fitting an ellipsoid to random points: predictions using the replica method. arXiv preprint arXiv:2310.01169.

PDF Cite

Afonso S Bandeira, Antoine Maillard, Shahar Mendelson, Elliot Paquette (2023). Fitting an ellipsoid to a quadratic number of random points. arXiv preprint arXiv:2307.01181.

PDF Cite

Antoine Maillard, Afonso S Bandeira, David Belius, Ivan Dokmanić, Shuta Nakajima (2023). Injectivity of ReLU networks: perspectives from statistical physics. arXiv preprint arXiv:2302.14112.

PDF Cite

Afonso S Bandeira, Antoine Maillard, Richard Nickl, Sven Wang (2023). On free energy barriers in Gaussian priors and failure of cold start MCMC for high-dimensional unimodal distributions. Philosophical Transactions of the Royal Society A.

PDF Cite

See all publications

Teaching

Courses and lecture notes

Mathematics of Data Science
ETH Zurich Sep 2023 – Feb 2024
Master’s degree course in mathematics, teached at 50% with Afonso Bandeira. Based on the following book draft
Mathematics of Signals, Networks and Learning
ETH Zurich Feb 2023 – Jun 2023
Bachelor course in mathematics, teached at 50% with Afonso Bandeira. If you are interested, lecture notes can be found here !
Student seminar
ETH Zurich Mar 2022 – Jun 2022
Organization of a student seminar on matrix discrepancy.
Teaching Assistant
Ecole Normale Supérieure Sep 2019 – Jul 2020
Mathematics for Physicists, taught by Prof. Van Wijland at ENS.
Competitive exams preparation at ENS
Ecole Normale Supérieure Sep 2019 – Jul 2020
Participation in the design of competitive exams (“concours”) subjects.
Short lecture on the Kac-Rice formula for spin glasses
Kavli Institute for Theoretical physics Feb 2019
Lecture notes

Contact