arXiv:2605.22597cs.LGcs.AI2026-05

通过残差应力建模,提升仿真与真实物理的匹配度。

MoSA: Motion-constrained Stress Adaptation for Mitigating Real-to-Sim Gap in Continuum Dynamics via Learning Residual Anisotropy

论文配图:MoSA: Motion-constrained Stress Adaptation for Mitigating Real-to-Sim Gap in Continuum Dynamics via Learning Residual Anisotropy
图 1 · 摘自论文原文
  • 用各向同性模型做先验,学习残差应力捕捉材料各向异性
  • 在微平面约束下逐级重分布应力,提升动态模拟精度
  • 适合需要高保真物理仿真的机器人操控任务

从视觉观测中学习真实世界动力学对多个领域至关重要。常见方法是通过估计物理参数校准仿真器,但精度受限于底层物理模型——这些模型通常假设材料均匀且各向同性。而现实中物体常存在轻微各向异性和非均质性。当近似各向同性的主干模型被充分校准后,这些残余效应成为进一步缩小真实与仿真差距的关键瓶颈。尽管神经网络可端到端拟合动力学,但其黑箱特性会丢失强物理先验,导致数据效率低且易过拟合。为此,我们提出MoSA框架,通过运动约束的应力自适应机制,聚焦于这些残余效应以进一步提升真实-仿真动力学学习效果。MoSA以各向同性模型为物理先验,学习残差应力算子以捕捉轻微各向异性和非均质性,并通过物理信息级联网络,在微平面约束下逐步重分布应力。同时,通过监督变形场的时间与空间导数施加运动约束。实验表明,所学动力学在精度、泛化性和鲁棒性上均表现更优,且学习到的残差各向异性具有物理意义。最后,我们在机器人操作场景中验证了MoSA的有效性,证明更精准的真实-仿真建模可带来更可靠的仿真到现实迁移。项目主页:https://mercerai.github.io/MoSA/

原文摘要 · Abstract (English)

Learning real-world dynamics from visual observations is crucial for various domains. A common strategy is to calibrate simulators by estimating physical parameters, yet accuracy is ultimately bounded by the underlying physical models, which often assume materials are homogeneous and isotropic. Even if reasonable, real-world objects typically exhibit mild anisotropy and heterogeneity. After the near-isotropic backbone is well calibrated, these residual effects become the key bottleneck for further closing the real-to-sim gap. Although neural networks can fit dynamics end-to-end, such black-box modeling discards strong physical priors, leading to poor data efficiency and overfitting. Therefore, we propose MoSA, a motion-constrained stress adaptation framework that targets these residual effects to further improve real-to-sim dynamics learning. MoSA uses an isotropic model as a physics prior and learns residual stress operators to capture mild anisotropy and heterogeneity. It progressively adapts stresses via microplane-constrained redistribution in a physics-informed cascaded network. We further impose motion constraints by supervising temporal and spatial derivatives of the deformation field. Experimentally, our learned dynamics achieves superior accuracy, generalization, and robustness, while learning physically meaningful residual anisotropy. Finally, we validate MoSA in a robot manipulation setting, showing that better real-to-sim dynamics modeling translates into more reliable sim-to-real transfer. Project Page is available at https://mercerai.github.io/MoSA/.

物理仿真残差建模机器人操控

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