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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 …
4:45 - 5:30pm
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 …
4:00 - 4:45pm
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 …
2:45 - 3:30pm
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 …
2:00 - 2:45pm
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 …
11:45am - 12:30pm
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 - 11:45am
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
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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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
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
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
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