论文标题
Stden:朝着物理引导的神经网络进行交通流量预测
STDEN: Towards Physics-Guided Neural Networks for Traffic Flow Prediction
论文作者
论文摘要
高性能交通流量预测模型设计是一种智能运输系统的核心技术,是工业和学术社区的长期挑战但仍然具有挑战性的任务。物理原理和数据驱动模型之间缺乏整合是限制该领域发展的重要原因。在文献中,基于物理的方法通常可以清楚地解释流量流系统的动态过程,但准确性有限,而数据驱动的方法,尤其是具有黑盒结构的深度学习,可以提高性能,但由于缺乏合理的物理基础,无法完全受到信任。为了弥合纯数据驱动和物理驱动的方法之间的差距,我们提出了一个名为时空的微分方程网络(STDEN)的物理学引导的深度学习模型,该模型将交通流动器的物理机理投入到深层神经网络框架中。具体而言,我们假设道路网络上的交通流量是由潜在势能场(例如水流由重力场驱动的)驱动的,并将势能场的时空动态过程作为微分方程网络进行建模。 Stden吸收了数据驱动模型的性能优势和基于物理模型的可解释性,因此被命名为物理指导的预测模型。北京三个现实世界流量数据集的实验表明,我们的模型的表现优于最先进的基线。案例研究进一步验证了stden可以捕获城市交通机制,并具有物理意义的准确预测。提出的微分方程网络建模的框架也可能会阐明其他类似的应用程序。
High-performance traffic flow prediction model designing, a core technology of Intelligent Transportation System, is a long-standing but still challenging task for industrial and academic communities. The lack of integration between physical principles and data-driven models is an important reason for limiting the development of this field. In the literature, physics-based methods can usually provide a clear interpretation of the dynamic process of traffic flow systems but are with limited accuracy, while data-driven methods, especially deep learning with black-box structures, can achieve improved performance but can not be fully trusted due to lack of a reasonable physical basis. To bridge the gap between purely data-driven and physics-driven approaches, we propose a physics-guided deep learning model named Spatio-Temporal Differential Equation Network (STDEN), which casts the physical mechanism of traffic flow dynamics into a deep neural network framework. Specifically, we assume the traffic flow on road networks is driven by a latent potential energy field (like water flows are driven by the gravity field), and model the spatio-temporal dynamic process of the potential energy field as a differential equation network. STDEN absorbs both the performance advantage of data-driven models and the interpretability of physics-based models, so is named a physics-guided prediction model. Experiments on three real-world traffic datasets in Beijing show that our model outperforms state-of-the-art baselines by a significant margin. A case study further verifies that STDEN can capture the mechanism of urban traffic and generate accurate predictions with physical meaning. The proposed framework of differential equation network modeling may also cast light on other similar applications.