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Sylvain Chabredier : Voyage dans les méandres microscopiques de certains processus ponctuels

Salle W

Trouver les racines d’un polynôme fixé est une vieille et difficile question. Posons nous alors la question pour un polynôme aléatoire avec des coefficients gaussiens iid: qu’est-il possible d’affirmer sur les statistiques de leurs zéros ? On verra que lorsque le degré N du polynôme est grand, le comportement local de ces points peut être comparé à un modèle de physique statistique de N particules chargées positivement (c’est à dire un gaz de Coulomb). Nous explorerons les théorèmes qui sont établis pour ce gaz et les conjectures associées pour les […]

Instabilities in incompressible fluids 

Salle W - ENS PSL 45 rue d'Ulm, Paris, France

I will discuss amplification mechanisms in incompressible flows generated by geophysical forcing (gravity) and by nonlinear effects (vortex stretching).  In the first part, I will introduce Elgindi’s decomposition of the Biot-Savart law in Cα (Elgindi, Annals of Math. 2021; Kiselev & Svérak, Annals of Math. 2014) and show how it can be used to determine the precise pointwise growth of solutions of the 2D Boussinesq equations for short times. This is based in part on joint work with Hientzsch and Iandoli. In the second part, I will present a proof […]

ENS-Data Science colloquium – Julien Mairal : Physical Models and Machine Learning for Scientific Imaging

ENS Salle Dussane

In this presentation, we will present a few scientific imaging problems where hybrid approaches that combine physical models of image formation and deep learning are highly successful. We will then address a fundamental challenge in image restoration: the choice of estimator, as perceptual quality often does not align with traditional objective criteria such as minimizing the mean squared error. Finally, we will show how algorithms related to diffusion---highly successful in generative image modeling---can provide an effective solution to this problem. These seminars are being made possible through the support of […]

Thomas Hou

Salle W - ENS PSL 45 rue d'Ulm, Paris, France

Vlad Vicol

Jussieu -- salle 15-16-309 4 Place Jussieu, Paris, France

Hélène Mathis

Salle W - ENS PSL 45 rue d'Ulm, Paris, France