Incremental dynamic mode decomposition: A reduced-model learner operating at the low-data limit
| hal.structure.identifier | Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM] | |
| dc.contributor.author | REILLE, Agathe | |
| hal.structure.identifier | Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM] | |
| dc.contributor.author | HASCOËT, Nicolas | |
| hal.structure.identifier | Notre Dame University-Louaize [Lebanon] [NDU] | |
| dc.contributor.author | GHNATIOS, Chady | |
| hal.structure.identifier | Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA] | |
| dc.contributor.author | AMMAR, Amine | |
| hal.structure.identifier | University of Zaragoza - Universidad de Zaragoza [Zaragoza] | |
| dc.contributor.author | CUETO, Elías G. | |
| hal.structure.identifier | ESI Group [ESI Group] | |
| dc.contributor.author | DUVAL, Jean Louis | |
| hal.structure.identifier | Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM] | |
| dc.contributor.author | CHINESTA, Francisco | |
| hal.structure.identifier | Université Catholique de Louvain = Catholic University of Louvain [UCL] | |
| dc.contributor.author | KEUNINGS, Roland | |
| dc.date.accessioned | 2021-05-14T09:35:24Z | |
| dc.date.available | 2021-05-14T09:35:24Z | |
| dc.date.issued | 2019 | |
| dc.identifier.issn | 1631-0721 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/76207 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier Masson | |
| dc.subject.en | Advanced regression | |
| dc.subject.en | Machine learning | |
| dc.subject.en | Mode decomposition | |
| dc.subject.en | Nonlinear reduced modeling | |
| dc.subject.en | PGD | |
| dc.subject.en | Tensor formats | |
| dc.title.en | Incremental dynamic mode decomposition: A reduced-model learner operating at the low-data limit | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.crme.2019.11.003 | |
| dc.subject.hal | Sciences de l'ingénieur [physics]/Matériaux | |
| bordeaux.journal | Comptes Rendus Mécanique | |
| bordeaux.page | 780-792 | |
| bordeaux.volume | 347 | |
| bordeaux.hal.laboratories | Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295 | * |
| bordeaux.issue | 11 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.institution | INRAE | |
| bordeaux.institution | Arts et Métiers | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02561899 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02561899v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Comptes%20Rendus%20M%C3%A9canique&rft.date=2019&rft.volume=347&rft.issue=11&rft.spage=780-792&rft.epage=780-792&rft.eissn=1631-0721&rft.issn=1631-0721&rft.au=REILLE,%20Agathe&HASCO%C3%8BT,%20Nicolas&GHNATIOS,%20Chady&AMMAR,%20Amine&CUETO,%20El%C3%ADas%20G.&rft.genre=article |
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