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Geneviève Dusson
Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry
Geneviève Dusson
Metric-Based Nonlinear Model Order Reduction with Applications to Quantum Chemistry
Symposium
Event
Documents and Media Download the support material Abstract A broad class of problems in science and engineering involves repeatedly solving partial differential equations (PDEs) for different parameter values. Linear reduced-order models are a powerful …
09:45 to 10:30
Event
16:30 to 18:30
Event
Documents and Media Download the support material Abstract The design of smart, autonomous mechanical structures capable of performing real-time monitoring of their integrity and taking proactive measures during operation to prevent downtime or failure …
16:45 to 17:30
Event
Documents and Media Download the support material Abstract To meet the rigorous demands of Best-Estimate Plus Uncertainty (BEPU) in modern nuclear engineering, it is essential to characterize safety margins and system dynamics with both high fidelity and …
16:00 to 16:45
Event
Documents and Media Download the support material Abstract 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 …
14:45 to 15:30
Event
Abstract Multi-query simulation settings require efficient surrogates for the underlying processes. We consider a family of kernel-based greedy schemes for approximating the solutions of PDEs, exemplified by elliptic boundary value problems [1]. The …
14:00 to 14:45
Event
Documents and Media Download the support material Abstract 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 that …
11:45 to 12:30
Event
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 to 11:45
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 …
09:45 to 10:30
Comments on Egyptian art and its artists
Laurent Coulon, chair The Civilization of Pharaonic Egypt
Comments on Egyptian art and its artists
Laurent Coulon, chair The Civilization of Pharaonic Egypt
Guest lecturer
Series
Dimitri Laboury has been invited by the College of France on the recommendation of Professor Laurent Coulon. Dimitri Laboury Presentation Almost a century ago, in 1931, Jean Capart published a now-famous book in which he compiled a series of lectures he …
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The Animal
Opening symposia
The Animal
Opening symposia
Symposium
Series
2025–2026 Opening Symposium The Animal More than ever, animals have become a major issue : ecological (health and environmental crises), social, economic, and political (agriculture and livestock farming), legal, and philosophical. In recent years, the …
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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 …
16:45 to 17:30
Event
Abstract In this presentation, we will discuss recent advances in hybrid twins and their synergies with artificial intelligence informed by insights ranging from physics and geometry to resilience. Examples will be presented in the context of risk …
16:00 to 16:45
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 …
14:45 to 15:30
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]. …
14:00 to 14:45
Series
Admission Policy : Due to high attendance, the public is advised to arrive at least 45 minutes before the event begins. Seats cannot be reserved and are assigned strictly on a first-come, first-served basis. If the venue reaches capacity, the public may …
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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, …
11:45 to 12:30
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 to 11:45
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. …
09:45 to 10:30
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 …
09:00 to 09:45