让机器人运动生成更符合人体动作层级结构。
Taxonomy-aware Dynamic Motion Generation on Hyperbolic Manifolds
- 在双曲流形上建模动作的层级关系与动态演化。
- 生成动作序列能忠实反映动作分类体系,且物理合理。
- 适合需要结构化动作生成的机器人任务使用。
机器人生成类人运动常借鉴生物力学研究,后者将复杂动作划分为层级分类体系。然而现有运动生成模型常忽略此类结构信息,导致生成动作与真实动作层级脱节。本文提出GPHDM,通过将高斯过程动力学模型(GPDM)的动力学先验扩展至双曲流形,并融入分类体系感知的归纳偏置,学习同时保留动作层级结构与时间动态的潜在表示。基于此几何与分类感知框架,我们设计三种新机制:两种概率递归方法和一种基于拉回度量测地线的方法,实现既符合分类结构又物理一致的动作生成。在手部抓握分类体系上的实验表明,GPHDM能准确编码底层分类体系与时间动态,生成新颖且物理合理的运动轨迹。
原文摘要 · Abstract (English)
Human-like motion generation for robots often draws inspiration from biomechanical studies, which often categorize complex human motions into hierarchical taxonomies. While these taxonomies provide rich structural information about how movements relate to one another, this information is frequently overlooked in motion generation models, leading to a disconnect between the generated motions and their underlying hierarchical structure. This paper introduces the \ac{gphdm}, a novel approach that learns latent representations preserving both the hierarchical structure of motions and their temporal dynamics to ensure physical consistency. Our model achieves this by extending the dynamics prior of the Gaussian Process Dynamical Model (GPDM) to the hyperbolic manifold and integrating it with taxonomy-aware inductive biases. Building on this geometry- and taxonomy-aware frameworks, we propose three novel mechanisms for generating motions that are both taxonomically-structured and physically-consistent: two probabilistic recursive approaches and a method based on pullback-metric geodesics. Experiments on generating realistic motion sequences on the hand grasping taxonomy show that the proposed GPHDM faithfully encodes the underlying taxonomy and temporal dynamics, and it generates novel physically-consistent trajectories.
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