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Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning

Lutter, Michael ; Ritter, Christian ; Peters, Jan (2023)
Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning.
7th International Conference on Learning Representations (ICLR) 2019. New Orleans, Louisiana, United States (06.05.2019-09.05.2019)
doi: 10.26083/tuprints-00020557
Konferenzveröffentlichung, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (Abstract)

Deep learning has achieved astonishing results on many tasks with large amounts of data and generalization within the proximity of training data. For many important real-world applications, these requirements are unfeasible and additional prior knowledge on the task domain is required to overcome the resulting problems. In particular, learning physics models for model-based control requires robust extrapolation from fewer samples – often collected online in real-time – and model errors may lead to drastic damages of the system.

Directly incorporating physical insight has enabled us to obtain a novel deep model learning approach that extrapolates well while requiring fewer samples. As a first example, we propose Deep Lagrangian Networks (DeLaN) as a deep network structure upon which Lagrangian Mechanics have been imposed. DeLaN can learn the equations of motion of a mechanical system (i.e., system dynamics) with a deep network efficiently while ensuring physical plausibility.

The resulting DeLaN network performs very well at robot tracking control. The proposed method did not only outperform previous model learning approaches at learning speed but exhibits substantially improved and more robust extrapolation to novel trajectories and learns online in real-time.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2023
Autor(en): Lutter, Michael ; Ritter, Christian ; Peters, Jan
Art des Eintrags: Zweitveröffentlichung
Titel: Deep Lagrangian Networks: Using Physics as Model Prior for Deep Learning
Sprache: Englisch
Publikationsjahr: 17 Oktober 2023
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 2019
Kollation: 17 Seiten
Veranstaltungstitel: 7th International Conference on Learning Representations (ICLR) 2019
Veranstaltungsort: New Orleans, Louisiana, United States
Veranstaltungsdatum: 06.05.2019-09.05.2019
DOI: 10.26083/tuprints-00020557
URL / URN: https://tuprints.ulb.tu-darmstadt.de/20557
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Herkunft: Zweitveröffentlichungsservice
Kurzbeschreibung (Abstract):

Deep learning has achieved astonishing results on many tasks with large amounts of data and generalization within the proximity of training data. For many important real-world applications, these requirements are unfeasible and additional prior knowledge on the task domain is required to overcome the resulting problems. In particular, learning physics models for model-based control requires robust extrapolation from fewer samples – often collected online in real-time – and model errors may lead to drastic damages of the system.

Directly incorporating physical insight has enabled us to obtain a novel deep model learning approach that extrapolates well while requiring fewer samples. As a first example, we propose Deep Lagrangian Networks (DeLaN) as a deep network structure upon which Lagrangian Mechanics have been imposed. DeLaN can learn the equations of motion of a mechanical system (i.e., system dynamics) with a deep network efficiently while ensuring physical plausibility.

The resulting DeLaN network performs very well at robot tracking control. The proposed method did not only outperform previous model learning approaches at learning speed but exhibits substantially improved and more robust extrapolation to novel trajectories and learns online in real-time.

Freie Schlagworte: Deep Model Learning, Robot Control
Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-205579
Zusätzliche Informationen:

TL;DR: This paper introduces a physics prior for Deep Learning and applies the resulting network topology for model-based control.

Sachgruppe der Dewey Dezimalklassifikatin (DDC): 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik
Fachbereich(e)/-gebiet(e): 20 Fachbereich Informatik
20 Fachbereich Informatik > Intelligente Autonome Systeme
Zentrale Einrichtungen
Zentrale Einrichtungen > Centre for Cognitive Science (CCS)
TU-Projekte: EC/H2020|640554|SKILLS4ROBOTS
Hinterlegungsdatum: 17 Okt 2023 11:37
Letzte Änderung: 26 Jul 2024 09:11
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