arXiv:2603.27909eess.SYcs.LG2026-03

用数据驱动的马尔可夫模型模拟驾驶行为,无需参数假设。

Data is All You Need: Markov Chain Car-Following (MC-CF) Model

  • 基于经验分布构建马尔可夫状态转移,随机采样加速度。
  • 在Waymo数据上优于IDM等物理模型,轨迹预测更接近真实。
  • 零样本泛化强,适合智能交通系统高保真仿真。

跟车行为是交通流理论的核心,但传统模型难以捕捉自然驾驶中的随机性。本文提出一种新的经验概率建模范式,摒弃传统参数假设。在此范式下,我们提出马尔可夫链跟车(MC-CF)模型,将状态转移建模为马尔可夫过程,通过在离散状态箱内随机采样加速度来预测行为。在Waymo开放运动数据集(WOMD)上训练的MC-CF模型,在单步和开环轨迹预测精度上显著优于基于物理的模型(包括IDM、Gipps、FVDM和SIDM)。对转移概率的统计分析表明,模型生成的轨迹与真实世界行为无显著差异,成功复现了各类交互下的概率结构。在自然驾驶凤凰城(PHX)数据集上的零样本泛化进一步验证了模型鲁棒性。微观环道仿真验证了该框架的可扩展性:通过逐步引入自由流轨迹和高速公路数据(TGSIM),并采用保守推理策略,模型大幅减少碰撞,在多个稳态与冲击波场景中实现零事故,同时成功再现自然且随机的冲击波传播。总体而言,所提出的MC-CF模型为高保真随机交通建模提供了稳健、可扩展且免校准的基础,特别适用于数据丰富的智能交通未来。

原文摘要 · Abstract (English)

Car-following behavior is fundamental to traffic flow theory, yet traditional models often fail to capture the stochasticity of naturalistic driving. This paper introduces a new car-following modeling category called the empirical probabilistic paradigm, which bypasses conventional parametric assumptions. Within this paradigm, we propose the Markov Chain Car-Following (MC-CF) model, which represents state transitions as a Markov process and predicts behavior by randomly sampling accelerations from empirical distributions within discretized state bins. Evaluation of the MC-CF model trained on the Waymo Open Motion Dataset (WOMD) demonstrates that its variants significantly outperform physics-based models including IDM, Gipps, FVDM, and SIDM in both one-step and open-loop trajectory prediction accuracy. Statistical analysis of transition probabilities confirms that the model-generated trajectories are indistinguishable from real-world behavior, successfully reproducing the probabilistic structure of naturalistic driving across all interaction types. Zero-shot generalization on the Naturalistic Phoenix (PHX) dataset further confirms the model's robustness. Finally, microscopic ring road simulations validate the framework's scalability. By incrementally integrating unconstrained free-flow trajectories and high-speed freeway data (TGSIM) alongside a conservative inference strategy, the model drastically reduces collisions, achieving zero crashes in multiple equilibrium and shockwave scenarios, while successfully reproducing naturalistic and stochastic shockwave propagation. Overall, the proposed MC-CF model provides a robust, scalable, and calibration-free foundation for high-fidelity stochastic traffic modeling, uniquely suited for the data-rich future of intelligent transportation.

交通建模马尔可夫链数据驱动自动驾驶

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