Colloques du Collège de France - Collège de France

Collège de France · college-de-france.fr

Colloques interdisciplinaires du Collège de France Événements de la vie scientifique de l'établissement, les colloques, dont le programme comprend à la fois des professeurs du Collège de France et des conférenciers invités, traite de thèmes aux nombreuses ramifications, dont les enjeux contemporains gagnent à être analysés au prisme des disciplines et des champs du savoir.

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Episodes 299

Colloque - Karen E. Willcox : Multifidelity Proper Orthogonal Decomposition
2mo ago · 47:48
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Karen E. Willcox : Multifidelity Proper Orthogonal Decomposition Karen E. Willcox Professor, Director of Oden Institute, University of Texas at Austin, USA Résumé The proper orthogonal decomposition (POD) is widely used to compute a low-dimensional basis that underpins a subsequent dimension reduction or reduced-order modeling step. POD is data-driven in the sense that it requires a training data set of high-fidelity sol
Colloque - Tommaso Taddei : Registration in Bounded Domains for Model Reduction of Parametric Conservation Laws
2mo ago · 37:51
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Tommaso Taddei : Registration in Bounded Domains for Model Reduction of Parametric Conservation Laws Tommaso Taddei Associate Professor of Numerical Analysis, Department of Mathematics Guido Castelnuovo, Sapienza University of Rome, Italy Résumé In this talk, I review recent efforts on the development of registration methods for parametric model order reduction (MOR), with emphasis on advection-dominated flows. In comput
Colloque - David Ryckelynck : Self Supervised Machine Learning of ROM-nets for Mechanics of Materials
2mo ago · 38:49
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - David Ryckelynck : Self Supervised Machine Learning of ROM-nets for Mechanics of Materials David Ryckelynck Professeur à Mines Paris – PSL Résumé We propose a general framework for projection-based model order reduction using self-supervised machine learning [1]. For parametric elliptic equations this approach is theoretically based on Céa's Lemma. The proposed methodology, called ROM-net [2], consists in using deep lear
Colloque - Élise Grosjean : A Doubly Reduced Approximation for the Solution to PDEs Based on a Domain Truncation and a Reduced Basis Method: Application to Navier-Stokes Equations
2mo ago · 28:24
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Élise Grosjean : A Doubly Reduced Approximation for the Solution to PDEs Based on a Domain Truncation and a Reduced Basis Method: Application to Navier-Stokes Equations Élise Grosjean Enseignante-chercheuse Inria, Équipe IDEFIX de l'Unité de Mathématiques Appliquées, ENSTA, Institut Polytechnique de Paris Résumé During this talk, I will present the NIRB two-grid method, together with recent extensions applied to the Navi
Colloque - Kathrin Smetana : Certified Randomized Model Order Reduction Methods for High-Dimensional Approximation
2mo ago · 38:52
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Kathrin Smetana : Certified Randomized Model Order Reduction Methods for High-Dimensional Approximation Kathrin Smetana Tenure-track Assistant professor in the Department of Mathematical Sciences at the Stevens Institute of Technology, Hoboken, New Jersey, USA Résumé In this talk, we present randomized methods that provide high-probability guarantees for the accuracy of reduced order approximations of parametric partial
Colloque - Geneviève Dusson : Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry
2mo ago · 40:41
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Geneviève Dusson : Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry Geneviève Dusson Chargée de recherche, CNRS, Laboratoire de mathématiques de Besançon, université Franche-Comté Résumé A broad class of problems in science and engineering involves the repeated solution of partial differential equations (PDEs) for different parameter values. Linear reduced order models are a powerful to
Colloque - Anthony Nouy : Stable Nonlinear Manifold Approximation Using Compositional Networks
2mo ago · 44:32
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Anthony Nouy : Stable Nonlinear Manifold Approximation Using Compositional Networks Anthony Nouy Professeur au département de mathématiques, Centrale Nantes – Nantes Université Résumé We consider the problem of approximating a subset M of a Hilbert space X by a low-dimensional manifold Mn. A large class of nonlinear methods can be described by a decoder D: IRn à X whose range is the nonlinear manifold Mn, and an encoder
Colloque - Ludovic Chamoin : Integrated Structural Health Monitoring with Real-time Data Assimilation and Hybrid Twins
2mo ago · 49:25
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Ludovic Chamoin : Integrated Structural Health Monitoring with Real-time Data Assimilation and Hybrid Twins Ludovic Chamoin Professeur, LMPS, ENS Paris-Saclay Résumé The design of smart autonomous mechanical structures able to perform online control of their integrity, and take anticipated actions during service before downtime or failure occur, has become an active research area. It is a critical need in various industr
Colloque - Evie Nielen : Efficient Greedy Sampling for Model Order Reduction
2mo ago · 32:59
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Evie Nielen : Efficient Greedy Sampling for Model Order Reduction Evie Nielen Doctoral Candidate, Mathematics and Computer Science, Computational Science, University of Technology Eindhoven, Netherlands Résumé This talk presents the Polytope Division Method (PDM), a greedy algorithm for solving high-dimensional configuration optimization problems—such as those arising in model reduction and optimal experimental design—wh
Colloque - Clémentine Prieur : Diffeomorphism-Based Feature Learning Using Poincaré Inequalities
2mo ago · 39:10
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Clémentine Prieur : Diffeomorphism-Based Feature Learning Using Poincaré Inequalities Clémentine Prieur Professeure, université Grenoble Alpes, LJK, équipe/projet Inria AIRSEA Résumé Joint work with Romain Verdière (Inria Grenoble) and Olivier Zahm (Inria Grenoble). During this talk, I will present a gradient-enhanced algorithm for high-dimensional function approximation which achieves outperforming accuracy on small dat
Colloque - Benjamin Peherstorfer : Dirac-Frenkel Dynamics with Momentum
2mo ago · 41:18
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Benjamin Peherstorfer : Dirac-Frenkel Dynamics with Momentum Benjamin Peherstorfer Associate professor, Courant Institute of Mathematical Sciences, New York University, USA Résumé Dirac-Frenkel instantaneous residual minimization evolves nonlinear parametrizations of PDE solutions in time, but ill-conditioning can render the parameter dynamics non-unique. We interpret this non-uniqueness as a gauge freedom: nullspace dir
Colloque - Andrea Manzoni : Reduced Order Modeling and Scientific Machine Learning: Synergies and Opportunities
2mo ago · 51:39
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Andrea Manzoni : Reduced Order Modeling and Scientific Machine Learning: Synergies and Opportunities Andrea Manzoni Associate Professor of Numerical Analysis, MOX - Department of Mathematics, Politecnico di Milano, Italy Résumé Among several recently proposed data-driven Reduced Order Models (ROMs), deep learning-based ROMs (DL-ROMs) have proved to be a successful strategy to construct non-intrusive, highly accurate surr
Colloque - Albert Cohen : Optimal Linear and Non-Linear Dimensionality Reduction
2mo ago · 55:43
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Albert Cohen : Optimal Linear and Non-Linear Dimensionality Reduction Albert Cohen Professeur, Laboratoire Jacques-Louis Lions, université Pierre et Marie Curie, Paris Résumé Understanding how to optimally approximate general compact sets by finite dimensional spaces is of central interest for designing efficient numerical methods in forward simulation or inverse problems. The concept of n-width, introduced in 1936 by Ko
Colloque - Mario Ohlberger : Reduced Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems
2mo ago · 40:49
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Mario Ohlberger : Reduced Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems Mario Ohlberger Professor of applied mathematics and managing director of the Institute of Analysis and Numerics, University of Münster, Germany Résumé Classically, model order reduction for parameterized systems is based on a so-called offline phase, where reduced approximation spaces are constructed and the reduced pa
Colloque - Beatriz Moya : Avancées en modélisation hybride : vers la transition numérique des territoires
2mo ago · 35:42
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Beatriz Moya : Avancées en modélisation hybride : vers la transition numérique des territoires Beatriz Moya Professeure associée et titulaire d'une chaire junior du projet ITTAI à l'École Nationale Supérieure d'Arts et Métiers (ENSAM), Paris Résumé Dans cette présentation, nous discuterons des avancées récentes en matière de jumeaux hybrides et de leurs synergies avec une intelligence artificielle informée par des biais
Colloque - Jörg Fehr : From Latent Space Representations to Practical Surrogate Models for Structural Dynamical Systems
2mo ago · 38:22
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Jörg Fehr : From Latent Space Representations to Practical Surrogate Models for Structural Dynamical Systems Jörg Fehr Professor, Institute of Engineering and Computational Mechanics, University of Stuttgart, Germany Résumé The simulation and optimization of complex technical systems often require models that are both sufficiently accurate and computationally efficient. In engineering practice, this balance is difficult
Colloque - Sebastian Ares de Parga Regalado : Robust Nonlinear Projection-Based Reduced-Order Models: Comparative Assessment of Closure and Manifold Strategies
2mo ago · 40:42
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Sebastian Ares de Parga Regalado : Robust Nonlinear Projection-Based Reduced-Order Models: Comparative Assessment of Closure and Manifold Strategies Sebastian Ares de Parga Regalado Postdoctoral researcher at the Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE), Barcelona, Spain Résumé Recent advances in nonlinear model reduction indicate that overcoming linear Kolmogorov limitations requires principled com
Colloque - Olga Mula : Gradient Flows on Neural Network Manifolds
2mo ago · 37:55
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque - Olga Mula : Gradient Flows on Neural Network Manifolds Olga Mula Professor of Mathematics, University of Vienna, Austria Résumé This talk addresses numerical methods for gradient flows in Hilbert spaces based on neural network approximations. The central idea is to represent the solution on a neural network manifold and evolve its parameters in time. At first glance, this approach appears general, elegant, and easy to implement, and it has achieved notable empirical success in machine learning an
Colloque - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application
2mo ago · 38:50
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexity - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application Angelo Iollo Institut de Mathématiques de Bordeaux, université de Bordeaux & équipe-projet commune MONHADE Inria - Onera - université de Bordeaux Résumé In this talk, I will present Collocated Model Order Reduction (cMOR), a novel hyper-reduction framework specifically designed for high-order discretizations. The method evalua
Colloque - Benjamin Stamm : The Reduced Basis Method for Ground-State Eigenvalue Computations
2mo ago · 40:12
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Benjamin Stamm : The Reduced Basis Method for Ground-State Eigenvalue Computations Benjamin Stamm Professor, Head of Group Institute of Applied Analysis and Numerical Simulation, Chair of Numerical Mathematics for High Performance Computing, Faculty of Mathematics, University of Stuttgart, Germany Résumé In this talk, we present a reduced basis method for the computation of the lowest eigenvalue(s) of a parametrized fami
Colloque - Virginie Galland Ehrlacher : Neural Network Approximations of Solutions of Schrödinger Equations
2mo ago · 44:53
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité - Virginie Galland Ehrlacher : Neural Network Approximations of Solutions of Schrödinger Equations Virginie Galland Ehrlacher Professeure à l'École nationale des Ponts et Chaussées, IPP & INRIA Résumé Solving eigenvalue problems for high-dimensional Schrödinger operators is a central challenge in numerical analysis, with applications ranging from quantum mechanics to the approximation of complex interacting systems. In thi
Colloque - Aspects mathématiques et appliqués des méthodes de réduction de complexité - Welcome Adress
2mo ago · 5:29
Yvon Maday Chaire Informatique et sciences numériques Collège de France Année 2025-2026 Colloque : Aspects mathématiques et appliqués des méthodes de réduction de complexité Welcome Adress Résumé Classically, model order reduction for parameterized systems is based on a so-called offline phase, where reduced approximation spaces are constructed and the reduced parameterized system is built, followed by an online phase, where the reduced system can be cheaply evaluated in a multi-query context.
Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Alessandro Tuccillo : Le déshonneur de la philosophie. La réflexion antiesclavagiste de l'abbé Pietro Tamburini
2mo ago · 29:28
Antoine Lilti Histoire des Lumières, XVIIIe-XXIe siècle Collège de France Année 2025-2026 Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Alessandro Tuccillo : Le déshonneur de la philosophie. La réflexion antiesclavagiste de l'abbé Pietro Tamburini
Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Thierry Hoquet : Esclavage, servage et servitude
2mo ago · 33:41
Antoine Lilti Histoire des Lumières, XVIIIe-XXIe siècle Collège de France Année 2025-2026 Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Thierry Hoquet : Esclavage, servage et servitude
Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Andy Cabot : Colonisation nouvelle et antiesclavagisme : la « Révolution de couleur » de Saint-Domingue et l'idéal de l'émancipation selon Edmond-Charles Genet en 1793-1794
2mo ago · 34:35
Antoine Lilti Histoire des Lumières, XVIIIe-XXIe siècle Collège de France Année 2025-2026 Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Andy Cabot : Colonisation nouvelle et antiesclavagisme : la « Révolution de couleur » de Saint-Domingue et l'idéal de l'émancipation selon Edmond-Charles Genet en 1793-1794

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Colloques du Collège de France - Collège de France

Episodes 299

Colloque - Karen E. Willcox : Multifidelity Proper Orthogonal Decomposition

Colloque - Tommaso Taddei : Registration in Bounded Domains for Model Reduction of Parametric Conservation Laws

Colloque - David Ryckelynck : Self Supervised Machine Learning of ROM-nets for Mechanics of Materials

Colloque - Élise Grosjean : A Doubly Reduced Approximation for the Solution to PDEs Based on a Domain Truncation and a Reduced Basis Method: Application to Navier-Stokes Equations

Colloque - Kathrin Smetana : Certified Randomized Model Order Reduction Methods for High-Dimensional Approximation

Colloque - Geneviève Dusson : Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry

Colloque - Anthony Nouy : Stable Nonlinear Manifold Approximation Using Compositional Networks

Colloque - Ludovic Chamoin : Integrated Structural Health Monitoring with Real-time Data Assimilation and Hybrid Twins

Colloque - Evie Nielen : Efficient Greedy Sampling for Model Order Reduction

Colloque - Clémentine Prieur : Diffeomorphism-Based Feature Learning Using Poincaré Inequalities

Colloque - Benjamin Peherstorfer : Dirac-Frenkel Dynamics with Momentum

Colloque - Andrea Manzoni : Reduced Order Modeling and Scientific Machine Learning: Synergies and Opportunities

Colloque - Albert Cohen : Optimal Linear and Non-Linear Dimensionality Reduction

Colloque - Mario Ohlberger : Reduced Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems

Colloque - Beatriz Moya : Avancées en modélisation hybride : vers la transition numérique des territoires

Colloque - Jörg Fehr : From Latent Space Representations to Practical Surrogate Models for Structural Dynamical Systems

Colloque - Sebastian Ares de Parga Regalado : Robust Nonlinear Projection-Based Reduced-Order Models: Comparative Assessment of Closure and Manifold Strategies

Colloque - Olga Mula : Gradient Flows on Neural Network Manifolds

Colloque - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application

Colloque - Benjamin Stamm : The Reduced Basis Method for Ground-State Eigenvalue Computations

Colloque - Virginie Galland Ehrlacher : Neural Network Approximations of Solutions of Schrödinger Equations

Colloque - Aspects mathématiques et appliqués des méthodes de réduction de complexité - Welcome Adress

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Alessandro Tuccillo : Le déshonneur de la philosophie. La réflexion antiesclavagiste de l'abbé Pietro Tamburini

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Thierry Hoquet : Esclavage, servage et servitude

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Andy Cabot : Colonisation nouvelle et antiesclavagisme : la « Révolution de couleur » de Saint-Domingue et l'idéal de l'émancipation selon Edmond-Charles Genet en 1793-1794

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Episodes 299

Colloque - Karen E. Willcox : Multifidelity Proper Orthogonal Decomposition

Colloque - Tommaso Taddei : Registration in Bounded Domains for Model Reduction of Parametric Conservation Laws

Colloque - David Ryckelynck : Self Supervised Machine Learning of ROM-nets for Mechanics of Materials

Colloque - Élise Grosjean : A Doubly Reduced Approximation for the Solution to PDEs Based on a Domain Truncation and a Reduced Basis Method: Application to Navier-Stokes Equations

Colloque - Kathrin Smetana : Certified Randomized Model Order Reduction Methods for High-Dimensional Approximation

Colloque - Geneviève Dusson : Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry

Colloque - Anthony Nouy : Stable Nonlinear Manifold Approximation Using Compositional Networks

Colloque - Ludovic Chamoin : Integrated Structural Health Monitoring with Real-time Data Assimilation and Hybrid Twins

Colloque - Evie Nielen : Efficient Greedy Sampling for Model Order Reduction

Colloque - Clémentine Prieur : Diffeomorphism-Based Feature Learning Using Poincaré Inequalities

Colloque - Benjamin Peherstorfer : Dirac-Frenkel Dynamics with Momentum

Colloque - Andrea Manzoni : Reduced Order Modeling and Scientific Machine Learning: Synergies and Opportunities

Colloque - Albert Cohen : Optimal Linear and Non-Linear Dimensionality Reduction

Colloque - Mario Ohlberger : Reduced Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems

Colloque - Beatriz Moya : Avancées en modélisation hybride : vers la transition numérique des territoires

Colloque - Jörg Fehr : From Latent Space Representations to Practical Surrogate Models for Structural Dynamical Systems

Colloque - Sebastian Ares de Parga Regalado : Robust Nonlinear Projection-Based Reduced-Order Models: Comparative Assessment of Closure and Manifold Strategies

Colloque - Olga Mula : Gradient Flows on Neural Network Manifolds

Colloque - Angelo Iollo : Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application

Colloque - Benjamin Stamm : The Reduced Basis Method for Ground-State Eigenvalue Computations

Colloque - Virginie Galland Ehrlacher : Neural Network Approximations of Solutions of Schrödinger Equations

Colloque - Aspects mathématiques et appliqués des méthodes de réduction de complexité - Welcome Adress

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Alessandro Tuccillo : Le déshonneur de la philosophie. La réflexion antiesclavagiste de l'abbé Pietro Tamburini

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Thierry Hoquet : Esclavage, servage et servitude

Colloque - L'antiesclavagisme : un idéal cosmopolite ? - Andy Cabot : Colonisation nouvelle et antiesclavagisme : la « Révolution de couleur » de Saint-Domingue et l'idéal de l'émancipation selon Edmond-Charles Genet en 1793-1794