See the Google Agenda of the colloquium, and add the iCal url to your calendar.
Forthcoming sessions
Andrew Stuart (Caltech)
Thursday, December 14th, 2023, 15h – Salle de séminaire du CERMICS
Learning Solution Operators For PDEs: Algorithms, Analysis and Applications
Neural networks have shown great success at approximating functions between spaces X and Y, in the setting where X is a finite dimensional Euclidean space and where Y is either a finite dimensional Euclidean space (regression) or a set of finite cardinality (classification); the neural networks learn the approximator from N data pairs {x_n, y_n}.
In many problems arising in PDEs it is desirable to learn solution operators: maps between spaces of functions X and Y; here X denotes a function space of inputs to the PDE (such as initial conditions, boundary data, coefficients) and Y denotes the function space of PDE solutions. Such a learned map can provide a cheap surrogate model to accelerate computations.
The talk overviews the methodology being developed in this field of operator learning and describes analysis of the associated approximation theory. Applications are described to the learning of homogenized constitutive models in mechanics.
Andrea Lodi (Cornell Tech)
Friday, February 9th, 2024, 10h30 – Salle de séminaire du CERMICS
TBA
Nalini Anantharaman (Académie des Science et Collège de France)
Wednesday, May 22nd, 2024
TBA
Past sessions
Peter K. Friz (TU and WIAS Berlin)
Thursday, June 8th, 2023, 14h – Salle de séminaire du CERMICS
Reconciling Itô and rough path theory (slides)
Maciej Zworski (University of California, Berkeley)
Wednesday, April 19th, 2023, 14h – Salle de séminaire du CERMICS
Magic angles in the chiral model of twisted bilayer graphene (slides)
Jean-Bernard Lasserre (CNRS, Université de Toulouse)
Monday, December 12th, 2022, 14h – Salle de séminaire du CERMICS
Moments, positive polynomials and the Christoffel function (slides)
Hugo Duminil-Copin (IHES, Université de Genève)
Thursday, March 10th, 2022, 14h – Salle de séminaire du CERMICS
Symétries émergentes en physique statistique planaire (slides)
Wednesday, October 6th, 2021, 14h – Salle de séminaire du CERMICS
Structured equations in biology (slides)
Jean-Michel Coron (Académie des Sciences, Sorbonne Université)
Wednesday, January 22th, 2020, 14h – Salle de séminaire du CERMICS
Comment utiliser les non-linéarités pour contrôler un système (slides)
Serge Abiteboul (Académie des Sciences, ENS/Inria, ARCEP)
Wednesday, January 22th, 2020, 10h – Salle de séminaire du CERMICS
Responsible data management (slides)
János Pach (Renyi Institute Budapest and MIPT Moscow, Bézout Chair 2019)
Jointly organized with Labex Bézout
Tuesday, November 12th, 2019, 14h – Salle de séminaire du CERMICS
How to escape the curse of dimensionality in combinatorics
Stéphane Mallat (Collège de France et Académie des Sciences)
Friday, September 20th, 2019, 10h – Amphi Caquot I
Mathematical Mysteries of Deep Neural Networks (slides)
Alice Guionnet (ENS Lyon et Académie des Sciences)
Tuesday, June 25th, 2019, 10h – Salle de séminaire du CERMICS
Entropie et grandes déviations en théorie des matrices aléatoires
Frank Merle (Université de Cergy-Pontoise et IHES)
Thursday, January 10th, 2019, 10h – Salle de séminaire du CERMICS
Asymptotics for Critical Nonlinear Dispersive Equations (slides)
Felix Otto (MPI Leipzig)
Tuesday, November 20th, 2018, 10h – Salle de séminaire du CERMICS
Randomness in Partial Differential Equations (slides)
R. Tyrrell Rockafellar (University of Washington)
Thursday, October 25th, 2018, 9h – Salle de séminaire du CERMICS
Part I: The Role of Convex Analysis in Optimization (slides)
Part II: Progressive Decoupling of Linkages in Optimization with Elicitable Convexity (slides)
Carsten Carstensen (Humboldt-Universität zu Berlin, Germany)
Tuesday, September 4th, 2018, 14h – Salle de séminaire du CERMICS
Discontinuous Petrov-Galerkin Schemes (slides)
Bjorn Engquist (The University of Texas at Austin)
Thursday, June 7th, 2018, 15h30 – Salle de séminaire du CERMICS
Multiscale dynamical systems and parareal algorithms (slides)
Arturo Kohatsu-Higa (Ritsumeikan University)
Thursday, May 31st, 2018, 15h15 – Salle de séminaire du CERMICS
IPB pour diffusions arrêtées
Panagiotis Souganidis (The University of Chicago)
Friday, May 18th, 2018, 16h – Salle de séminaire du CERMICS
Nonlinear stochastic partial differential equations (slides)
Yann Brenier (ENS)
Monday, March 5th, 2018, 10h30 – Salle de séminaire du CERMICS
Le problème de Cauchy pour les systèmes de lois de conservation entropiques traité par minimisation convexe (slides)
Laure Saint-Raymond (ENS de Lyon et Académie des Sciences)
Monday, December 18th, 2017, 14h – Salle de séminaire du CERMICS
Forçage quasi-résonnant d’ondes internes dans un domaine avec topographie
(en collaboration avec Yves Colin de Verdière)
Daniel Kuhn (EPFL)
Wednesday, October 4th, 2017, 15h30 – Salle de séminaire du CERMICS
Data-driven Distributionally Robust Optimization Using the Wasserstein Metric: Performance Guarantees and Tractable Reformulations
Arnak Dalalyan (ENSAE)
Thursday, June 15th, 2017, 10h
On the Exponentially Weighted Aggregate with the Laplace Prior
Mitchell Luskin (University of Minnesota)
Monday October 17th, 2016, 2016, 14h
Mathematical Modelling of Incommensurate Materials
Common seminar CERMICS/IMAGINE
Tuesday June 7th, 2016, 10h
10h : Mathieu Aubry (IMAGINE, École des Ponts ParisTech), Representing 3D models for matching and retrieving (abstract, slides),
11h : Francis Bach (Inria et ENS), Beyond stochastic gradient descent for large-scale machine learning (abstract, slides).
Emilie Kaufmann (CNRS)
Wednesday March 30th, 2016, 14h
Multi-armed bandit models: a tutorial (slides)
Hugo Touchette (National Institute for Theoretical Physics)
Monday November 30th, 2015, 14h
Théorie des grandes déviations : des mathématiques à la physique. (slides)