no code implementations • 26 Jun 2023 • Thibault Monsel, Onofrio Semeraro, Lionel Mathelin, Guillaume Charpiat
The developed framework is auto-differentiable and runs efficiently on multiple backends.
no code implementations • 30 Nov 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Thibault Dairay, Raphael Meunier, Marc Schoenauer
Reduced order modeling methods are often used as a mean to reduce simulation costs in industrial applications.
no code implementations • 8 Jul 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Marc Schoenauer
This paper proposes a novel approach to domain translation.
no code implementations • 22 Feb 2022 • Emmanuel Menier, Michele Alessandro Bucci, Mouadh Yagoubi, Lionel Mathelin, Marc Schoenauer
Model order reduction through the POD-Galerkin method can lead to dramatic gains in terms of computational efficiency in solving physical problems.
no code implementations • 15 Dec 2021 • Alessandro Bucci, Onofrio Semeraro, Alexandre Allauzen, Sergio Chibbaro, Lionel Mathelin
Based on that, we consider entropy as a metric of complexity of the dataset; we show how an informed design of the training set based on the analysis of the entropy significantly improves the resulting models in terms of generalizability, and provide insights on the amount and the choice of data required for an effective data-driven modeling.
1 code implementation • 20 Feb 2019 • N. Benjamin Erichson, Lionel Mathelin, Zhewei Yao, Steven L. Brunton, Michael W. Mahoney, J. Nathan Kutz
In many applications, it is important to reconstruct a fluid flow field, or some other high-dimensional state, from limited measurements and limited data.
no code implementations • 23 Feb 2018 • N. Benjamin Erichson, Lionel Mathelin, Steven L. Brunton, J. Nathan Kutz
Diffusion maps are an emerging data-driven technique for non-linear dimensionality reduction, which are especially useful for the analysis of coherent structures and nonlinear embeddings of dynamical systems.
no code implementations • 17 Feb 2017 • Lionel Mathelin, Kévin Kasper, Hisham Abou-Kandil
The quantity of interest (QoI) is approximated in a basis (dictionary) learned from a training set.
no code implementations • 11 Apr 2016 • Florimond Guéniat, Lionel Mathelin, M. Yousuff Hussaini
This work discusses a closed-loop control strategy for complex systems utilizing scarce and streaming data.