arXiv:2606.07386cs.RO2026-06被引 2

用样条曲线表示机器人动作,让轨迹更灵活可控。

Spline Policy: A Structured Representation for Robot Policies

论文配图:Spline Policy: A Structured Representation for Robot Policies
图 1 · 摘自论文原文
  • 用样条参数替代固定动作块,实现连续可调的运动表示
  • 支持轨迹重采样、局部修正与不确定性传播,无需重训练
  • 兼容主流策略模型,适合复杂抓取与真实机器人应用

现代机器人模仿学习策略常将动作表示为固定分辨率的动作块,虽简单有效,但执行前缺乏几何与时间结构。本文提出样条策略(Spline Policy, SP),在不改变策略主干的前提下,用样条参数替代动作块。预测的样条可解码为紧凑的连续轨迹,支持不同时间分辨率查询、参数空间约束或编辑,并传递给下游控制器。对于二次样条输出,可通过解析距离场构造生成状态依赖的向量场,在正则性与投影假设下,诱导的动力学不会增加到生成样条的距离,从而提供围绕预测运动的合理局部修正机制。样条输出还支持从观测到样条参数、轨迹及流场的不确定性传播,可与经典控制机制如零空间避障结合,无需重新训练策略主干。我们在扩散模型、流匹配、基于Transformer及视觉-语言-动作主干上实现了SP。在低维运动学习、模拟操作、灵巧操作及真实机器人案例中验证,SP保持与现代策略学习器兼容的同时,揭示了紧凑解码、时间重采样、预测轨迹局部修正、不确定性评估与控制器兼容等关键运动结构特性。

原文摘要 · Abstract (English)

Modern imitation-learning policies for robot manipulation often represent actions as fixed-resolution action chunks, which are simple and effective but expose limited geometric and temporal structure before execution. This paper studies Spline Policy (SP), a structured representation that replaces action chunks with spline parameters while keeping the policy backbone unchanged. The predicted spline can be decoded as a compact continuous trajectory, queried at different temporal resolutions, constrained or edited in parameter space, and passed to downstream controllers. For quadratic spline outputs, the same representation can also be converted into a state-dependent vector field through an analytical distance-field construction. Under the regularity and projection assumptions of this construction, the induced dynamics do not increase the distance to the generated spline, yielding a principled local corrective mechanism around the predicted motion. The spline output further supports uncertainty propagation from observations to spline parameters, trajectories, and flow fields, and can be combined with classical control mechanisms such as null-space collision avoidance without retraining the policy backbone. We instantiate SP with diffusion, flow-matching, transformer-based, and vision-language-action backbones. Experiments in low-dimensional motion learning, simulated manipulation under matched backbones, dexterous manipulation, and real-robot case studies show that SP remains compatible with modern policy learners while exposing useful motion-structure properties, including compact decoding, temporal resampling, local correction around predicted motions, uncertainty evaluation, and controller compatibility.

机器人策略样条表示动作生成不确定性建模

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