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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
09:00 to 18:00
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
L'urgence écologique conduit à repenser la place de l'humanité au sein du monde vivant. Cette leçon explorera les fondements d'une évaluation qui ne se limite plus au bien-être humain, mais intègre également les intérêts des autres espèces et le …
10:00 to 11:00
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
Event
11:00 to 12:00
Series
Image generated by artificial intelligence. Overview This conference will build on the course material by bringing together researchers who explore the microbial world at various scales: molecular, cellular, community, ecosystem, and planetary. Its goal …
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
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 …
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
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
Series
Conference in English . Organizers: Philippe Aghion (Collège de France, INSEAD, London School of Economics & CEPR), Alexandra Roulet (INSEAD & …
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
Series
Séminaire co-organisé avec D. Bresch, I. Gallagher, J.C. Saut et A. Venaille. …
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Event
15:00 to 16:30
Series