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arXiv 2106.03142cs.LG
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基于物理信息的深度学习交通状态和基本图估计模型

A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation

Columbia University(哥伦比亚大学);Data Science Institute, Columbia University(哥伦比亚大学数据科学研究所)

Rongye Shi, Zhaobin Mo, Kuang Huang, Xuan Di, Qiang Du

摘要:

交通状态估计(TSE)分为两类,模型驱动和数据驱动(例如,机器学习,ML),而每一个都受到物理缺陷或小数据的困扰。为了缓解这些限制,最近的研究引入了一种混合范式,物理信息深度学习(PIDL),它包含模型驱动和数据驱动的组件。本文提供了一个改进的版本,称为具有基本图学习器(PIDL+FDL)的物理信息深度学习,它将ML术语集成到模型驱动组件中,以学习基本图(FD)的函数形式,即,从交通密度到流量或速度的映射。所提出的PIDL+FDL具有同时进行TSE学习、模型参数辨识和FD估计的优点。我们演示了使用PIDL+FDL来解决流行的一阶和二阶交通流模型,并重建FD关系以及FD项之外的模型参数。然后,我们使用下一代仿真(NGSIM)数据集评估基于PIDL+ FDL的TSE。实验结果表明,PIDL+FDL在提高估计精度和数据效率方面优于先进的基线TSE方法,此外,正确学习未知的基础FD关系的能力。

英文摘要:

Traffic state estimation (TSE) bifurcates into two categories, model-driven and data-driven (e.g., machine learning, ML), while each suffers from either deficient physics or small data. To mitigate these limitations, recent studies introduced a hybrid paradigm, physics-informed deep learning (PIDL), which contains both model-driven and data-driven components. This paper contributes an improved version, called physics-informed deep learning with a fundamental diagram learner (PIDL+FDL), which integrates ML terms into the model-driven component to learn a functional form of a fundamental diagram (FD), i.e., a mapping from traffic density to flow or velocity. The proposed PIDL+FDL has the advantages of performing the TSE learning, model parameter identification, and FD estimation simultaneously. We demonstrate the use of PIDL+FDL to solve popular first-order and second-order traffic flow models and reconstruct the FD relation as well as model parameters that are outside the FD terms. We then evaluate the PIDL+FDL-based TSE using the Next Generation SIMulation (NGSIM) dataset. The experimental results show the superiority of the PIDL+FDL in terms of improved estimation accuracy and data efficiency over advanced baseline TSE methods, and additionally, the capacity to properly learn the unknown underlying FD relation.

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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