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Paper · arXiv

Momentum-Conserving Graph Neural Networks for Deformable Objects

Graph neural networks (GNNs) have emerged as a versatile and efficient option for modeling the dynamic behavior of deformable materials. While GNNs generalize readily to arbitrary shapes, mesh topologies, and material parameters, existing architectures struggle to correctly predict the temporal evolution of key physical quantities such as linear and angular momentum. In this work, we propose MomentumGNN -- a novel architecture designed to accurately track momentum by construction. Unlike existing GNNs that output unconstrained nodal accelerations, our model predicts per-edge stretching and bending impulses which guarantee the preservation of linear and angular momentum. We train our netwo...

AuthorsJiahong Wang, Logan Numerow, Stelian Coros et al.
Primary categorycs.LG
Published28 April 2026
Last updated at source28 April 2026
cs.LGcs.AIcs.GR
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