Search Results for author: Lionel Mathelin

Found 9 papers, 1 papers with code

Neural State-Dependent Delay Differential Equations

no code implementations26 Jun 2023 Thibault Monsel, Onofrio Semeraro, Lionel Mathelin, Guillaume Charpiat

The developed framework is auto-differentiable and runs efficiently on multiple backends.

CD-ROM: Complemented Deep-Reduced Order Model

no code implementations22 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.

Computational Efficiency

Curriculum learning for data-driven modeling of dynamical systems

no code implementations15 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.

Active Learning

Shallow Neural Networks for Fluid Flow Reconstruction with Limited Sensors

1 code implementation20 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.

Diffusion Maps meet Nyström

no code implementations23 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.

Dimensionality Reduction Time Series +1

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