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arXiv 2109.09975cs.LGcs.AIcs.RO
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使用智能体期货的学习条件概率模型的自动驾驶车辆的快速非线性风险评估

Fast nonlinear risk assessment for autonomous vehicles using learned conditional probabilistic models of agent futures

Computer Science and Artificial Intelligence Laboratory (CSAIL), Massachusetts Institute of Technology (MIT)(计算机科学与人工智能实验室(CSAIL),麻省理工学院(MIT))

Ashkan Jasour, Xin Huang, Allen Wang, Brian C. Williams

摘要:

本文提出了一种快速的基于非采样的方法来评估风险的轨迹自动驾驶车辆时,其他代理的未来的概率预测生成的深度神经网络(DNN)。所提出的方法解决了广泛的表示不确定的预测,包括高斯和非高斯混合模型来预测代理的位置和控制输入条件的场景上下文。我们发现,当高斯混合模型(Gestival)的代理位置的学习,风险评估的问题可以迅速解决,以任意水平的精度与现有的数值方法。为了解决代理位置的非高斯混合模型的风险评估的问题,我们提出了使用非线性切比雪夫不等式和平方和(SOS)规划的风险上界,他们都是感兴趣的,因为前者是快得多,而后者可以是任意紧。这些方法只需要代理位置的高阶统计矩来确定风险的上限。为了执行风险评估时,学习模型的代理控制输入,而不是位置,我们传播的时刻不确定的控制输入通过非线性运动动力学,以获得确切的时刻不确定的位置在规划范围内。为此,我们构建确定性的线性动力系统,在不确定的控制输入的存在下,管理的不确定位置的时刻的精确时间演化。所提出的方法在Argoverse和CARLA数据集上训练的DNN的实际预测上得到了证明,并且证明了该方法对于快速评估低概率事件的概率是有效的。

英文摘要:

This paper presents fast non-sampling based methods to assess the risk for trajectories of autonomous vehicles when probabilistic predictions of other agents' futures are generated by deep neural networks (DNNs). The presented methods address a wide range of representations for uncertain predictions including both Gaussian and non-Gaussian mixture models to predict both agent positions and control inputs conditioned on the scene contexts. We show that the problem of risk assessment when Gaussian mixture models (GMMs) of agent positions are learned can be solved rapidly to arbitrary levels of accuracy with existing numerical methods. To address the problem of risk assessment for non-Gaussian mixture models of agent position, we propose finding upper bounds on risk using nonlinear Chebyshev's Inequality and sums-of-squares (SOS) programming; they are both of interest as the former is much faster while the latter can be arbitrarily tight. These approaches only require higher order statistical moments of agent positions to determine upper bounds on risk. To perform risk assessment when models are learned for agent control inputs as opposed to positions, we propagate the moments of uncertain control inputs through the nonlinear motion dynamics to obtain the exact moments of uncertain position over the planning horizon. To this end, we construct deterministic linear dynamical systems that govern the exact time evolution of the moments of uncertain position in the presence of uncertain control inputs. The presented methods are demonstrated on realistic predictions from DNNs trained on the Argoverse and CARLA datasets and are shown to be effective for rapidly assessing the probability of low probability events.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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