Antoine Maillard

Antoine Maillard

Postdoc - Hermann Weyl Instructor

ETH Zurich

About me

I am a Hermann-Weyl Instructor (postdoc) in the mathematics department of 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.

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 students, please have look at the teaching section. 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

Publications & preprints

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(2023). Fitting an ellipsoid to a quadratic number of random points. arXiv preprint arXiv:2307.01181.

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(2023). Injectivity of ReLU networks: perspectives from statistical physics. arXiv preprint arXiv:2302.14112.

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(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.

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(2023). Phase Retrieval: From Computational Imaging to Machine Learning: A tutorial. IEEE Signal Processing Magazine.

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(2022). Optimal denoising of rotationally invariant rectangular matrices. Mathematical and Scientific Machine Learning.

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Teaching

Courses and lecture notes

Mathematics of Signals, Networks and Learning
Bachelor course in mathematics, co-teached with Afonso Bandeira. If you are interested, lecture notes can be found here !
Student seminar
Organization of a student seminar on matrix discrepancy.
Teaching Assistant
Mathematics for Physicists, taught by Prof. Van Wijland at ENS.
Competitive exams preparation at ENS
Participation in the design of competitive exams (“concours”) subjects.
Short lecture on the Kac-Rice formula for spin glasses

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