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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

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)-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

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

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

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

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

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) 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

This research contributes to the advancement of traffic state estimation methods by leveraging the benefits of the nonlocal LWR model within a physics-informed deep learning framework. The classical LWR model, while useful, falls short of…

Machine Learning · Computer Science 2023-08-24 Archie J. Huang , Animesh Biswas , Shaurya Agarwal

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

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

Vertical Federated Learning (VFL)-based Traffic State Estimation (TSE) offers a promising approach for integrating vertically distributed traffic data from municipal authorities (MA) and mobility providers (MP) while safeguarding privacy.…

Computer Science and Game Theory · Computer Science 2025-06-03 Zijun Zhan , Yaxian Dong , Daniel Mawunyo Doe , Yuqing Hu , Shuai Li , Shaohua Cao , Zhu Han

Modeling the traffic dynamics is essential for understanding and predicting the traffic spatiotemporal evolution. However, deriving the partial differential equation (PDE) models that capture these dynamics is challenging due to their…

Systems and Control · Electrical Eng. & Systems 2025-05-05 Zihang Wei , Yunlong Zhang , Chenxi Liu , Yang Zhou

Thermal Energy Storage (TES) using Phase Change Materials (PCMs) represents a critical technology for sustainable energy management and grid stability. This study presents a novel Physics-Driven Deep Learning (PDDL) framework for modeling…

Mathematical Physics · Physics 2025-12-02 Meraj Hassanzadeh , Ehsan Ghaderi , Fatemeh Fatahi , Mohamad Ali Bijarchi

Although Deep Reinforcement Learning (DRL) and Large Language Models (LLMs) each show promise in addressing decision-making challenges in autonomous driving, DRL often suffers from high sample complexity, while LLMs have difficulty ensuring…

Artificial Intelligence · Computer Science 2025-02-21 Chengkai Xu , Jiaqi Liu , Shiyu Fang , Yiming Cui , Dong Chen , Peng Hang , Jian Sun

Traffic Engineering (TE) is an efficient technique to balance network flows and thus improves the performance of a hybrid Software Defined Network (SDN). Previous TE solutions mainly leverage heuristic algorithms to centrally optimize link…

Networking and Internet Architecture · Computer Science 2023-08-01 Yingya Guo , Qi Tang , Yulong Ma , Han Tian , Kai Chen

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

Traditional data-driven deep learning models often struggle with high training costs, error accumulation, and poor generalizability in complex physical processes. Physics-informed deep learning (PiDL) addresses these challenges by…

Machine Learning · Computer Science 2024-01-17 Xin-Yang Liu , Min Zhu , Lu Lu , Hao Sun , Jian-Xun Wang
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