Neural Modular Physics for Elastic Simulation

Fuente: arXiv
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Autores principales: Li, Yifei, Wu, Haixu, Xu, Zeyi, Stuyck, Tuur, Matusik, Wojciech
Formato: Preprint
Publicado: 2025
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author Li, Yifei
Wu, Haixu
Xu, Zeyi
Stuyck, Tuur
Matusik, Wojciech
author_facet Li, Yifei
Wu, Haixu
Xu, Zeyi
Stuyck, Tuur
Matusik, Wojciech
contents Learning-based methods have made significant progress in physics simulation, typically approximating dynamics with a monolithic end-to-end optimized neural network. Although these models offer an effective way to simulation, they may lose essential features compared to traditional numerical simulators, such as physical interpretability and reliability. Drawing inspiration from classical simulators that operate in a modular fashion, this paper presents Neural Modular Physics (NMP) for elastic simulation, which combines the approximation capacity of neural networks with the physical reliability of traditional simulators. Beyond the previous monolithic learning paradigm, NMP enables direct supervision of intermediate quantities and physical constraints by decomposing elastic dynamics into physically meaningful neural modules connected through intermediate physical quantities. With a specialized architecture and training strategy, our method transforms the numerical computation flow into a modular neural simulator, achieving improved physical consistency and generalizability. Experimentally, NMP demonstrates superior generalization to unseen initial conditions and resolutions, stable long-horizon simulation, better preservation of physical properties compared to other neural simulators, and greater feasibility in scenarios with unknown underlying dynamics than traditional simulators.
format Preprint
id arxiv_https___arxiv_org_abs_2512_15083
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neural Modular Physics for Elastic Simulation
Li, Yifei
Wu, Haixu
Xu, Zeyi
Stuyck, Tuur
Matusik, Wojciech
Machine Learning
Computational Engineering, Finance, and Science
Learning-based methods have made significant progress in physics simulation, typically approximating dynamics with a monolithic end-to-end optimized neural network. Although these models offer an effective way to simulation, they may lose essential features compared to traditional numerical simulators, such as physical interpretability and reliability. Drawing inspiration from classical simulators that operate in a modular fashion, this paper presents Neural Modular Physics (NMP) for elastic simulation, which combines the approximation capacity of neural networks with the physical reliability of traditional simulators. Beyond the previous monolithic learning paradigm, NMP enables direct supervision of intermediate quantities and physical constraints by decomposing elastic dynamics into physically meaningful neural modules connected through intermediate physical quantities. With a specialized architecture and training strategy, our method transforms the numerical computation flow into a modular neural simulator, achieving improved physical consistency and generalizability. Experimentally, NMP demonstrates superior generalization to unseen initial conditions and resolutions, stable long-horizon simulation, better preservation of physical properties compared to other neural simulators, and greater feasibility in scenarios with unknown underlying dynamics than traditional simulators.
title Neural Modular Physics for Elastic Simulation
topic Machine Learning
Computational Engineering, Finance, and Science
url https://arxiv.org/abs/2512.15083