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

Publications & preprints

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(2023). Exact threshold for approximate ellipsoid fitting of random points. arXiv preprint arXiv:2310.05787.

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(2023). Fitting an ellipsoid to random points: predictions using the replica method. arXiv preprint arXiv:2310.01169.

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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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Teaching

Courses and lecture notes

Mathematics of Data Science
Master’s degree course in mathematics, teached at 50% with Afonso Bandeira. Based on the following book draft
Mathematics of Signals, Networks and Learning
Bachelor course in mathematics, teached at 50% 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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