Incremental dynamic mode decomposition: A reduced-model learner operating at the low-data limit
CUETO, Elías G.
Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
< Réduire
Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
Langue
en
Article de revue
Ce document a été publié dans
Comptes Rendus Mécanique. 2019, vol. 347, n° 11, p. 780-792
Elsevier Masson
Résumé en anglais
The present work aims at proposing a new methodology for learning reduced models from a small amount of data. It is based on the fact that discrete models, or their transfer function counterparts, have a low rank and then ...Lire la suite >
The present work aims at proposing a new methodology for learning reduced models from a small amount of data. It is based on the fact that discrete models, or their transfer function counterparts, have a low rank and then they can be expressed very efficiently using few terms of a tensor decomposition. An efficient procedure is proposed as well as a way for extending it to nonlinear settings while keeping limited the impact of data noise. The proposed methodology is then validated by considering a nonlinear elastic problem and constructing the model relating tractions and displacements at the observation points.< Réduire
Mots clés en anglais
Advanced regression
Machine learning
Mode decomposition
Nonlinear reduced modeling
PGD
Tensor formats
Origine
Importé de halUnités de recherche