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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…

Machine Learning · Computer Science 2021-09-22 Rongye Shi , Zhaobin Mo , Kuang Huang , Xuan Di , Qiang Du

Traffic state estimation (TSE), which reconstructs the traffic variables (e.g., density) on road segments using partially observed data, plays an important role on efficient traffic control and operation that intelligent transportation…

Machine Learning · Computer Science 2021-01-19 Rongye Shi , Zhaobin Mo , Kuang Huang , Xuan Di , Qiang Du

For its robust predictive power (compared to pure physics-based models) and sample-efficient training (compared to pure deep learning models), physics-informed deep learning (PIDL), a paradigm hybridizing physics-based models and deep…

Machine Learning · Computer Science 2023-07-04 Xuan Di , Rongye Shi , Zhaobin Mo , Yongjie Fu

Physics-informed deep learning (PIDL) neural networks have shown their capability as a useful instrument for transportation practitioners in utilizing the underlying relationship between the state variables for traffic state estimation…

Machine Learning · Computer Science 2026-05-13 Archie J. Huang , Dongdong Wang , Shaurya Agarwal , Mohamed Abdel-Aty , Md Mahmudul Islam , Muhammad Shahbaz

A recent development in machine learning - physics-informed deep learning (PIDL) - presents unique advantages in transportation applications such as traffic state estimation. Consolidating the benefits of deep learning (DL) and the…

Machine Learning · Computer Science 2023-02-27 Archie J. Huang , Shaurya Agarwal

This paper aims to quantify uncertainty in traffic state estimation (TSE) using the generative adversarial network based physics-informed deep learning (PIDL). The uncertainty of the focus arises from fundamental diagrams, in other words,…

Machine Learning · Computer Science 2022-11-11 Zhaobin Mo , Yongjie Fu , Xuan Di

Since its introduction in 2017, physics-informed deep learning (PIDL) has garnered growing popularity in understanding the evolution of systems governed by physical laws in terms of partial differential equations (PDEs). However, empirical…

Machine Learning · Computer Science 2023-02-27 Archie J. Huang , Shaurya Agarwal

Car-following behavior has been extensively studied using physics-based models, such as the Intelligent Driver Model. These models successfully interpret traffic phenomena observed in the real-world but may not fully capture the complex…

Machine Learning · Computer Science 2021-07-15 Zhaobin Mo , Xuan Di , Rongye Shi

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Wuping Xin

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…

Machine Learning · Computer Science 2024-03-07 Jiahao Ji , Jingyuan Wang , Zhe Jiang , Jiawei Jiang , Hu Zhang

Full-field traffic state information (i.e., flow, speed, and density) is critical for the successful operation of Intelligent Transportation Systems (ITS) on freeways. However, incomplete traffic information tends to be directly collected…

Machine Learning · Computer Science 2023-04-13 Zhao Zhang , Ding Zhao , Xianfeng Terry Yang

Traffic state estimation (TSE) fundamentally involves solving high-dimensional spatiotemporal partial differential equations (PDEs) governing traffic flow dynamics from limited, noisy measurements. While Physics-Informed Neural Networks…

Machine Learning · Computer Science 2025-08-19 Zhihao Li , Ting Wang , Guojian Zou , Ruofei Wang , Ye Li

Car-following models (CFMs) are fundamental to traffic flow analysis and autonomous driving. Although calibrated physics-based and trained data-driven CFMs can replicate human driving behavior, their reliance on specific datasets limits…

Artificial Intelligence · Computer Science 2025-10-13 Chengming Wang , Dongyao Jia , Wei Wang , Dong Ngoduy , Bei Peng , Jianping Wang

Traffic state estimation (TSE) falls methodologically into three categories: model-driven, data-driven, and model-data dual-driven. Model-driven TSE relies on macroscopic traffic flow models originated from hydrodynamics. Data-driven TSE…

Machine Learning · Computer Science 2025-08-12 Hongxin Yu , Yibing Wang , Fengyue Jin , Meng Zhang , Anni Chen

Physics-informed machine learning (PIML) is crucial in modern traffic flow modeling because it combines the benefits of both physics-based and data-driven approaches. In conventional PIML, physical information is typically incorporated by…

Machine Learning · Computer Science 2025-09-23 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

In modern traffic management, one of the most essential yet challenging tasks is accurately and timely predicting traffic. It has been well investigated and examined that deep learning-based Spatio-temporal models have an edge when…

Machine Learning · Computer Science 2023-03-14 Yunjie Huang , Xiaozhuang Song , Yuanshao Zhu , Shiyao Zhang , James J. Q. Yu

As the development of cities, traffic congestion becomes an increasingly pressing issue, and traffic prediction is a classic method to relieve that issue. Traffic prediction is one specific application of spatio-temporal prediction…

Machine Learning · Computer Science 2023-11-01 Maoxiang Sun , Weilong Ding , Tianpu Zhang , Zijian Liu , Mengda Xing

Accurate traffic flow prediction is vital for optimizing urban mobility, yet it remains difficult in many cities due to complex spatio-temporal dependencies and limited high-quality data. While deep graph-based models demonstrate strong…

Machine Learning · Computer Science 2025-04-04 Chenyang Yu , Xinpeng Xie , Yan Huang , Chenxi Qiu

We use a space-time discretization based on physics informed deep learning (PIDL) to approximate solutions of a class of rate-dependent strain gradient plasticity models. The differential equation governing the plastic flow, the so-called…

Dynamical Systems · Mathematics 2024-08-14 Ankit Tyagi , Uttam Suman , Mariya Mamajiwala , Debasish Roy

In vehicle trajectory prediction, physics models and data-driven models are two predominant methodologies. However, each approach presents its own set of challenges: physics models fall short in predictability, while data-driven models lack…

Machine Learning · Computer Science 2024-03-22 Keke Long , Zihao Sheng , Haotian Shi , Xiaopeng Li , Sikai Chen , Sue Ahn
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