用最少的物理交互让机器人高效学会数数,效果远超纯视觉模型。
Minimal Embodiment Enables Efficient Learning of Number Concepts in Robot

- 通过机器人与环境的自然互动训练神经网络计数。
- 仅用10%数据达96.8%准确率,远超纯视觉模型的60.6%。
- 模型自发产生类人认知表征,适合教育与工业场景应用。
机器人在人机交互场景中需理解数量概念。如何从感知运动经验中习得抽象数概念仍是认知科学与人工智能的核心挑战。本文利用神经网络模型,在Franka Panda机械臂上通过自然交互实现序列计数。结果表明,具身模型仅用10%训练数据即达96.8%准确率,而纯视觉基线仅为60.6%。该优势在视觉-运动对应关系随机化后仍存,说明具身性作为结构先验正则化学习,而非信息源。模型自发生成生物合理表征:对数调谐的数选择性单元、数轴式组织、韦伯定律缩放,以及编码数量大小的旋转动力学(相关系数r=0.97,斜率=30.6°/计数)。学习轨迹与儿童从子集知者到基数原则知者的发育过程一致。研究证明最小具身性可锚定抽象概念,提升数据效率,并生成符合生物认知的可解释表征,或可用于具身数学教学与高安全要求工业应用。
原文摘要 · Abstract (English)
Robots are increasingly entering human-interactive scenarios that require understanding of quantity. How intelligent systems acquire abstract numerical concepts from sensorimotor experience remains a fundamental challenge in cognitive science and artificial intelligence. Here we investigate embodied numerical learning using a neural network model trained to perform sequential counting through naturalistic robotic interaction with a Franka Panda manipulator. We demonstrate that embodied models achieve 96.8\% counting accuracy with only 10\% of training data, compared to 60.6\% for vision-only baselines. This advantage persists when visual-motor correspondences are randomized, indicating that embodiment functions as a structural prior that regularizes learning rather than as an information source. The model spontaneously develops biologically plausible representations: number-selective units with logarithmic tuning, mental number line organization, Weber-law scaling, and rotational dynamics encoding numerical magnitude ($r = 0.97$, slope $= 30.6°$/count). The learning trajectory parallels children's developmental progression from subset-knowers to cardinal-principle knowers. These findings demonstrate that minimal embodiment can ground abstract concepts, improve data efficiency, and yield interpretable representations aligned with biological cognition, which may contribute to embodied mathematics tutoring and safety-critical industrial applications.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。