Bourbaki and I Broke Up

Welcome to the third and last episode of my Retreat in Lozère series.

Welcome to the second episode of my Retreat in Lozère series.

Welcome to the first episode of my Retreat in Lozère series: a few short posts written during a 10-day retreat in a quiet chalet where I spent many of my childhood holidays.

This year was the second edition of my SciML course at École Polytechnique, and the first time we taught it in a hybrid EuroTeQ format.

Our paper “A neural operator framework for solving inverse scattering problems”, joint with Victor Chenu and Houssem Haddar, has been available on arXiv for a couple months.

Some good news: our paper “Nonlocal vector calculus on the sphere,” joint with Mikaël Slevinsky and Qiang Du, has just been accepted for publication in M3AS.

Mental well-being in academia is a topic that has gained more visibility in recent years.

Welcome to the seventh and last entry in my Holiday in Sicily series.

Welcome to the sixth and penultimate entry in my Holiday in Sicily series.

Welcome to the fifth entry in my Holiday in Sicily series.

Welcome to the fourth entry in my Holiday in Sicily series.

Welcome to the third entry in my Holiday in Sicily series.

Welcome to the second entry in my Holiday in Sicily series.

Welcome to the first entry in my Holiday in Sicily series.

In this post, I talk about a course I just finished teaching at École Polytechnique on scientific machine learning.

In this post, I talk about an extension of the linear sampling method (LSM) for solving the sound-soft inverse acoustic scattering problem with data generated by randomly distributed small scatterers.

In this post, I talk about a new method for computing strongly singular and near-singular integrals that arise when solving the 3D Helmholtz equation with curved boundary elements.

In this post, I talk about coupling the finite and boundary element methods for solving wave propagation problems in an inhomogeneous medium.

In this post, I talk about image and video matting—the process of extracting specific objects from an image to place them in a scene of a movie or compose them onto another background.

In this post, I talk about an extension of the linear sampling method (LSM) for solving the sound-soft inverse acoustic scattering problem with randomly distributed point sources.

In this post, I talk about a new method for computing weakly singular and near-singular integrals that arise when solving the 3D Helmholtz equation with curved boundary elements.

In this post, I talk about quantum computing for supervised learning.

In this post, I talk about quantum computing for solving nonlinear ordinary differential equations (ODEs).

Episode 2 of my series on quantum computing—in this post, I talk about the Schrödinger equation and quantum logic gates, which are the building blocks of quantum circuits and quantum computers.

In my first research project as an undergraduate student in the summer of 2010, I worked on groups and symmetries in classical and quantum physics.

Depuis mon retour en France, un sujet de conversation récurrent est bien évidemment la pandémie de la Covid-19.

One of the papers I wrote during my Ph.D. at Oxford with Niall Bootland was just accepted in Mathematics and Computers in Simulation.

I've been paying careful attention to the various government policies implemented in response to the coronavirus pandemic.

In my latest paper, my colleague and I prove a theorem about the approximation of multivariate functions by deep ReLU networks, for which the curse of dimensionality is lessened.

In a recent paper, my colleagues and I considered the deep ReLU network approximation of generalized bandlimited functions \(f:B=[0,1]^d\rightarrow\mathbb{R}\) of the form $$ f(\boldsymbol{x}) = \int_{\mathbb{R}^d}F(\boldsymbol{w})K(\boldsymbol{w}\cdot\bo…

A couple of weeks ago, I spent a few days at McGill University with Jean-Philippe Lessard.

I have just submitted a paper about the modeling of embryogenesis with the Shvartsman group at Princeton University.

I have just submitted a paper about nonlocal equations on the sphere with my colleagues Mikael Slevinsky and Qiang Du.

In this post, I talk about a fascinating subject: the convergence of Fourier series and the Gibbs phenomenon.

I started working on deep learning models when I began my research at Columbia University in September 2017.

My latest paper, with my former colleague Yuji Nakatsukasa, has just been accepted in SISC.

My second paper as a Ph.D. student, in collaboration with my friend and former colleague at Oxford Nikola Gushterov, was about the choreographies of the \(n\)-body problem.