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research article

Integrating Physics and Topology in Neural Networks for Learning Rigid Body Dynamics

Wei, Amaury  
•
Fink, Olga  
July 25, 2025
Nature Communications

Rigid body interactions are fundamental to numerous scientific disciplines, but remain challenging to simulate due to their abrupt nonlinear nature and sensitivity to complex, often unknown environmental factors. These challenges call for adaptable learning-based methods capable of capturing complex interactions beyond explicit physical models and simulations. While graph neural networks can handle simple scenarios, they struggle with complex scenes and long-term predictions. We introduce a novel framework for modeling rigid body dynamics and learning collision interactions, addressing key limitations of existing graph-based methods. Our approach extends the traditional representation of meshes by incorporating higher-order topology complexes, offering a physically consistent representation. Additionally, we propose a physics-informed message-passing neural architecture, embedding physical laws directly in the model. Our method demonstrates superior accuracy, even during long rollouts, and exhibits strong generalization to unseen scenarios. Importantly, this work addresses the challenge of multi-entity dynamic interactions, with applications spanning diverse scientific and engineering domains.

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Type
research article
DOI
10.1038/s41467-025-62250-7
Web of Science ID

WOS:001537392100007

PubMed ID

40715127

Author(s)
Wei, Amaury  

École Polytechnique Fédérale de Lausanne

Fink, Olga  

École Polytechnique Fédérale de Lausanne

Date Issued

2025-07-25

Publisher

NATURE PORTFOLIO

Published in
Nature Communications
Volume

16

Issue

1

Article Number

6867

Subjects

Science & Technology

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
IMOS  
FunderFunding(s)Grant NumberGrant URL

Swiss National Science Foundation (SNSF)

200021_200461

Swiss National Science Foundation (SNSF)

Available on Infoscience
August 20, 2025
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/253145
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