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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

This study investigates why physics-informed machine learning (PIML) can fail in macroscopic traffic flow modeling. We define failure as cases where a PIML model underperforms both purely data-driven and purely physics-based baselines by a…

Machine Learning · Computer Science 2025-09-16 Yuan-Zheng Lei , Yaobang Gong , Dianwei Chen , Yao Cheng , Xianfeng Terry Yang

Accurate traffic prediction is essential for effective urban management and the improvement of transportation efficiency. Recently, data-driven traffic prediction methods have been widely adopted, with better performance than traditional…

Machine Learning · Computer Science 2024-04-02 Kehua Chen , Yuxuan Liang , Jindong Han , Siyuan Feng , Meixin Zhu , Hai Yang

Stochastic differential equations (SDEs) describe dynamical systems where deterministic flows, governed by a drift function, are superimposed with random fluctuations, dictated by a diffusion function. The accurate estimation (or discovery)…

Machine Learning · Computer Science 2025-10-22 Patrick Seifner , Kostadin Cvejoski , David Berghaus , Cesar Ojeda , Ramses J. Sanchez

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

Traditional rule-based physical models are limited by their reliance on singular physical formulas and parameters, making it difficult to effectively tackle the intricate tasks associated with crowd simulation. Recent research has…

Artificial Intelligence · Computer Science 2024-10-22 Runkang Guo , Bin Chen , Qi Zhang , Yong Zhao , Xiao Wang , Zhengqiu Zhu

This paper introduces scour physics-inspired neural networks (SPINNs), a hybrid physics-data-driven framework for bridge scour prediction using deep learning. SPINNs integrate physics-based, empirical equations into deep neural networks and…

Machine Learning · Computer Science 2024-09-11 Negin Yousefpour , Bo Wang

Physics-informed machine learning typically integrates physical priors into the learning process by minimizing a loss function that includes both a data-driven term and a partial differential equation (PDE) regularization. Building on the…

Machine Learning · Statistics 2025-09-23 Nathan Doumèche , Francis Bach , Gérard Biau , Claire Boyer

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

Accurate traffic forecasting is a core technology for building Intelligent Transportation Systems (ITS), enabling better urban resource allocation and improved travel experiences. With growing urbanization, traffic congestion has…

Machine Learning · Computer Science 2025-10-21 Chenyang Yu , Xinpeng Xie , Yan Huang , Chenxi Qiu

Stiff differential equations are prevalent in various scientific domains, posing significant challenges due to the disparate time scales of their components. As computational power grows, physics-informed neural networks (PINNs) have led to…

Machine Learning · Computer Science 2025-01-30 Emilien Seiler , Wanzhou Lei , Pavlos Protopapas

Deep Reinforcement Learning (DRL) uses diverse, unstructured data and makes RL capable of learning complex policies in high dimensional environments. Intelligent Transportation System (ITS) based on Autonomous Vehicles (AVs) offers an…

Machine Learning · Computer Science 2022-06-30 Anum Mushtaq , Irfan ul Haq , Muhammad Azeem Sarwar , Asifullah Khan , Omair Shafiq

Physics-informed machine learning (PIML) is a set of methods and tools that systematically integrate machine learning (ML) algorithms with physical constraints and abstract mathematical models developed in scientific and engineering…

The convergence of statistical learning and molecular physics is transforming our approach to modeling biomolecular systems. Physics-informed machine learning (PIML) offers a systematic framework that integrates data-driven inference with…

Biomolecules · Quantitative Biology 2025-11-11 Aaryesh Deshpande

This paper offers an integrative data-driven physics-inspired approach to model and control traffic congestion in a resilient and efficient manner. While existing physics-based approaches commonly assign density and flow traffic states by…

Systems and Control · Electrical Eng. & Systems 2019-12-03 Hossein Rastgoftar , Ella Atkins

Physics-informed machine learning has been a promising data-driven and physics-informed approach in geotechnical engineering. This study proposes a physics-informed extreme learning machine (PIELM) framework for analyzing tunneling-induced…

Machine Learning · Computer Science 2025-10-02 Fu-Chen Guo , Pei-Zhi Zhuang , Fei Ren , Hong-Ya Yue , He Yang

Autonomous racing without prebuilt maps is a grand challenge for embedded robotics that requires kinodynamic planning from instantaneous sensor data at the acceleration and tire friction limits. Out-Of-Distribution (OOD) generalization to…

Traffic prediction, an essential component for intelligent transportation systems, endeavours to use historical data to foresee future traffic features at specific locations. Although existing traffic prediction models often emphasize…

Machine Learning · Computer Science 2024-07-09 Chenxi Liu , Sun Yang , Qianxiong Xu , Zhishuai Li , Cheng Long , Ziyue Li , Rui Zhao

Deep-learning based traffic prediction models require vast amounts of data to learn embedded spatial and temporal dependencies. The inherent privacy and commercial sensitivity of such data has encouraged a shift towards decentralised…

Machine Learning · Computer Science 2025-03-21 Fermin Orozco , Pedro Porto Buarque de Gusmão , Hongkai Wen , Johan Wahlström , Man Luo