利用对称性提升双臂机器人的学习效率和泛化能力
Morphologically Equivariant Flow Matching for Bimanual Mobile Manipulation

- 设计了基于反射对称性的流匹配策略,强制政策保持双臂对称
- 在平面与6自由度任务中,样本效率提升,且零样本泛化到镜像配置
- 适用于需要双手协调的机器人任务,尤其适合真实场景部署
移动操作需要协调高维双臂机器人。虽然模仿学习被广泛用于解决此类任务,但通常忽略系统固有的双边形态对称性。本文认为,形态对称性是双臂移动操作中一个未被充分探索却至关重要的归纳偏置:掌握一种配置下的任务解决方案,可直接推导出其镜像配置的解法。我们形式化这一对称性先验,并证明最优双臂策略应具备左右对称性并满足反射等变性。提出一种$ℂ_2$-等变流匹配策略,通过正则化损失或等变速度网络实现反射对称性。在平面及6-DoF移动操作任务中,对称性引导策略显著提升样本效率,并实现零样本泛化至训练分布外的镜像配置。进一步在TIAGo++机器人上验证了该零样本泛化能力。结果表明,形态对称性是双臂生成策略学习中有效、通用且可扩展的归纳偏置。
原文摘要 · Abstract (English)
Mobile manipulation requires coordinated control of high-dimensional, bimanual robots. Imitation learning methods have been broadly used to solve these robotic tasks, yet typically ignore the bilateral morphological symmetry inherent in such systems. We argue that morphological symmetry is an underexplored but crucial inductive bias for learning in bimanual mobile manipulation: knowing how to solve a task in one configuration directly determines how to solve its mirrored counterpart. In this paper, we formalize this symmetry prior and show that it constrains optimal bimanual policies to be ambidextrous and equivariant under reflections across the robot's sagittal plane. We introduce a $\mathbb{C}_2$-equivariant flow matching policy that enforces reflective symmetry either via a regularized training loss or an equivariant velocity network. Across planar and 6-DoF mobile manipulation tasks, symmetry-informed policies consistently improve sample efficiency and achieve zero-shot generalization to mirrored configurations absent from the training distribution. We further validate this zero-shot generalization capability on a real-world manipulation task with a TIAGo++ robot. Together, our findings establish morphological symmetry as an effective, generalizable, and scalable inductive bias for ambidextrous generative policy learning.
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