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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

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

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

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

Accurately estimating spatiotemporal traffic states on freeways is a significant challenge due to limited sensor deployment and potential data corruption. In this study, we propose an efficient and robust low-rank model for precise…

Systems and Control · Electrical Eng. & Systems 2024-11-13 Yang He , Chengchuan An , Yuheng Jia , Jiachao Liu , Zhenbo Lu , Jingxin Xia

Network-wide Traffic State Estimation (TSE), which aims to infer a complete image of network traffic states with sparsely deployed sensors, plays a vital role in intelligent transportation systems. With the development of data-driven…

Machine Learning · Computer Science 2026-04-21 Qishen Zhou , Yifan Zhang , Michail A. Makridis , Anastasios Kouvelas , Yibing Wang , Simon Hu

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

Physics-informed deep learning (PIDL)-based models have recently garnered remarkable success in traffic state estimation (TSE). However, the prior knowledge used to guide regularization training in current mainstream architectures is based…

Machine Learning · Computer Science 2024-09-04 Ting Wang , Ye Li , Rongjun Cheng , Guojian Zou , Takao Dantsujic , Dong Ngoduy

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

Traffic state estimation (TSE) becomes challenging when probe-vehicle penetration is low and observations are spatially sparse. Pure data-driven methods lack physical explanations and have poor generalization when observed data is sparse.…

Machine Learning · Computer Science 2025-12-04 Yanlin Chen , Kehua Chen , Yinhai Wang

Traditional 2D hydraulic models face significant computational challenges that limit their applications that are time-sensitive or require many model evaluations. This study presents a physics-informed Deep Operator Network (DeepONet)…

Fluid Dynamics · Physics 2026-01-14 Xiaofeng Liu , Yong G. Lai

This paper studies the traffic state estimation (TSE) problem using sparse observations from mobile sensors. Most existing TSE methods either rely on well-defined physical traffic flow models or require large amounts of simulation data as…

Machine Learning · Computer Science 2022-06-15 Xudong Wang , Yuankai Wu , Dingyi Zhuang , Lijun Sun

This paper addresses the problem of traffic state estimation (TSE) in the presence of heterogeneous sensors which include both fixed and moving sensors. Traditional fixed sensors are expensive and cannot be installed throughout the highway.…

Systems and Control · Electrical Eng. & Systems 2024-07-04 Suyash C. Vishnoi , Sebastian A. Nugroho , Ahmad F. Taha , Christian G. Claudel

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

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

Machine Learning · Computer Science 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

This paper leverages macroscopic models and multi-source spatiotemporal data collected from automatic traffic counters and probe vehicles to accurately estimate traffic flow and travel time in links where these measurements are unavailable.…

Machine Learning · Computer Science 2024-01-31 Pablo Guarda , Sean Qian

Traffic management is a serious problem in many cities around the world. Even the suburban areas are now experiencing regular traffic congestion. Inappropriate traffic control wastes fuel, time, and the productivity of nations. Though…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 K. G. Zoysa , S. R. Munasinghe

This paper presents a traffic state estimation (TSE) method in congestion for distributed fiber-optic sensing (DFOS). DFOS detects vehicle driving vibrations along the optical fiber and obtains their trajectories in the spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-09-01 Yoshiyuki Yajima , Hemant Prasad , Daisuke Ikefuji , Hitoshi Sakurai , Manabu Otani

Power system state estimation (PSSE) is commonly formulated as weighted least-square (WLS) algorithm and solved using iterative methods such as Gauss-Newton methods. However, iterative methods have become more sensitive to system operating…

Systems and Control · Electrical Eng. & Systems 2021-01-12 Narayan Bhusal , Raj Mani Shukla , Mukesh Gautam , Mohammed Benidris , Shamik Sengupta
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