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Documents and Media Download support Abstract Dirac-Frenkel instantaneous residual minimization evolves nonlinear parametrizations of PDE solutions over time, but ill-conditioning can make the parameter dynamics non-unique. We interpret this …
11:00 - 11:45am
Event
3:00 - 4:00pm
Andrea Manzoni
Reduced-Order Modeling and Scientific Machine Learning: Synergies and Opportunities
Andrea Manzoni
Reduced-Order Modeling and Scientific Machine Learning: Synergies and Opportunities
Symposium
Event
Abstract Among several recently proposed data-driven Reduced Order Models (ROMs), deep learning-based ROMs (DL-ROMs) have proven to be a successful strategy for constructing non-intrusive, highly accurate surrogates for the real-time solution of …
9:45 - 10:30am
Marc Fleurbaey
Marc Fleurbaey
Opening lecture
Event
Résumé La recherche d’un avenir durable ne repose pas seulement sur l’analyse des scénarios possibles, mais aussi sur une réflexion normative permettant d’évaluer l’état de la société et de la planète. Une telle « boussole » éthique est indispensable pour …
6:00 - 7:00pm
Event
2:00 - 4:00pm
Series
Introduction This year’s course by Jean-Luc Fournet is devoted to one of the figures of Late Antiquity in Egypt, the philosopher and grammarian Horapollo ( 5 th century), under whose name a treatise on hieroglyphs has come down to us. Why would a Greek …
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Mario Ohlberger
Reduced-Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems
Mario Ohlberger
Reduced-Order Surrogate Models for PDE-Constrained Optimization and Inverse Problems
Symposium
Event
Documents and Media Download support Abstract Traditionally, model order reduction for parameterized systems relies on a so-called offline phase, in which reduced approximation spaces are constructed and the reduced parameterized system is built, followed …
4:45 - 5:30pm
Event
Documents and Media Download the support material Abstract In this presentation, we will discuss recent advances in hybrid twins and their synergies with artificial intelligence informed by biases ranging from physics and geometry to resilience. Examples …
4:00 - 4:45pm
Series
Introduction From both an editorial perspective and in terms of the relationship between the discipline of history and public discourse, the first edition of the World History of France in 2017 undoubtedly marked a significant moment in historiography. …
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Event
Documents and Media Download the support material Abstract 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 …
2:45 - 3:30pm
Event
Documents and Media Download the support material Abstract Recent advances in nonlinear model reduction indicate that overcoming linear Kolmogorov limitations requires principled combinations of projection-based approximation and data-driven modeling [3]. …
2:00 - 2:45pm
Event
Abstract 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 over time. At first glance, …
11:45am - 12:30pm
Angelo Iollo
Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application
Angelo Iollo
Collocated Reduced-Order Models for High-Order Schemes: Analysis and Application
Symposium
Event
Documents and Media Download the support material Abstract In this talk, I will present Collocated Model Order Reduction (cMOR), a novel hyper-reduction framework specifically designed for high-order discretizations. The method evaluates the governing …
11:00 - 11:45am
Event
Documents and Media Download the support material Abstract In this talk, we present a reduced-basis method for computing the lowest eigenvalue(s) of a parameterized family of eigenvalue problems motivated by—but not limited to—many-body quantum problems. …
9:45 - 10:30am
Virginie Galland Ehrlacher
Neural Network Approximations of Solutions to Schrödinger Equations
Virginie Galland Ehrlacher
Neural Network Approximations of Solutions to Schrödinger Equations
Symposium
Event
Documents and Media Download the support material Abstract 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 …
9:00 - 9:45am
Event
Abstract Metagenomics has opened up an entirely new perspective on life. It reveals that microorganisms colonize every environment on the planet and that the diversity studied in the laboratory represents only a tiny fraction of the total. The number of …
2:00 - 3:30pm