arXiv:2409.08249cs.ROcs.SY2024-09中稿 · the 16th Internati…被引 8

用局部校准法同时量化机器人动力学的随机与认知不确定性。

Quantifying Aleatoric and Epistemic Dynamics Uncertainty via Local Conformal Calibration

  • 基于置信预测的局部校准方法,联合建模两类不确定性。
  • 在动力学显著变化时仍能生成概率安全的规划轨迹。
  • 无需强假设,适用于真实机器人场景中的动态未知问题。

无论通过学习、模拟还是解析方式,机器人的动力学模型在遇到新环境时都可能不准确。现有方法多仅量化由随机性引起的似然不确定性(aleatoric),但不足以应对实际动力学变化带来的认知不确定性(epistemic)。我们提出局部不确定性置信校准(LUCCa),一种基于置信预测的方法,可对动力学模型给出的似然不确定性进行校准,生成系统状态的概率有效预测区间。该方法非渐近地同时考虑了认知与似然不确定性,无需对真实动力学形式或其变化方式做强假设。校准在状态-动作空间中局部进行,使不确定性估计可用于规划。我们在双积分器系统上验证了该方法在动力学显著变化下的概率安全性规划能力。

原文摘要 · Abstract (English)

Whether learned, simulated, or analytical, approximations of a robot's dynamics can be inaccurate when encountering novel environments. Many approaches have been proposed to quantify the aleatoric uncertainty of such methods, i.e. uncertainty resulting from stochasticity, however these estimates alone are not enough to properly estimate the uncertainty of a model in a novel environment, where the actual dynamics can change. Such changes can induce epistemic uncertainty, i.e. uncertainty due to a lack of information/data. Accounting for both epistemic and aleatoric dynamics uncertainty in a theoretically-grounded way remains an open problem. We introduce Local Uncertainty Conformal Calibration (LUCCa), a conformal prediction-based approach that calibrates the aleatoric uncertainty estimates provided by dynamics models to generate probabilistically-valid prediction regions of the system's state. We account for both epistemic and aleatoric uncertainty non-asymptotically, without strong assumptions about the form of the true dynamics or how it changes. The calibration is performed locally in the state-action space, leading to uncertainty estimates that are useful for planning. We validate our method by constructing probabilistically-safe plans for a double-integrator under significant changes in dynamics.

不确定性量化机器人规划置信预测

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