arXiv:2512.15083cs.LGcs.CE2025-12被引 1

用模块化神经网络提升弹性模拟的物理可靠性和泛化能力

Neural Modular Physics for Elastic Simulation

  • 将弹性动力学拆解为物理意义明确的神经模块,通过中间量连接
  • 在未见过的初始条件和分辨率下表现更稳定,长时模拟不发散
  • 适合需要物理可解释性的场景,如未知动力学系统建模

基于学习的方法在物理模拟中取得了显著进展,通常采用端到端优化的单体神经网络近似动力学。尽管这类模型能有效模拟,但相比传统数值模拟器,可能丢失关键特性,如物理可解释性和可靠性。受经典模拟器模块化设计的启发,本文提出神经模块化物理(NMP)用于弹性模拟,结合神经网络的逼近能力与传统模拟器的物理可靠性。不同于以往的单体学习范式,NMP通过将弹性动力学分解为通过中间物理量连接的物理意义明确的神经模块,实现对中间量和物理约束的直接监督。借助专用架构和训练策略,本方法将数值计算流程转化为模块化神经模拟器,在物理一致性与泛化性方面表现更优。实验表明,相较于其他神经模拟器,NMP在未见过的初始条件和分辨率下具有更强的泛化能力,能实现稳定的长时模拟,并更好保持物理特性;在底层动力学未知的场景中,其可行性也优于传统模拟器。

原文摘要 · Abstract (English)

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.

物理模拟神经模块弹性仿真

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