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Recent works on the application of Physics-Informed Neural Networks to traffic density estimation have shown to be promising for future developments due to their robustness to model errors and noisy data. In this paper, we introduce a…

Machine Learning · Computer Science 2025-04-07 Dennis Wilkman , Kateryna Morozovska , Karl Henrik Johansson , Matthieu Barreau

The ability to predict trajectories of surrounding agents and obstacles is a crucial component in many robotic applications. Data-driven approaches are commonly adopted for state prediction in scenarios where the underlying dynamics are…

Robotics · Computer Science 2025-04-28 Kaiyuan Tan , Peilun Li , Jun Wang , Thomas Beckers

Kinetic modeling enables \textit{in vivo} quantification of tracer uptake and glucose metabolism in [${}^{18}$F]Fluorodeoxyglucose ([${}^{18}$F]FDG) dynamic positron emission tomography (dPET) imaging of mice. However, kinetic modeling…

Quantitative Methods · Quantitative Biology 2025-10-27 Christian Salomonsen , Kristoffer K. Wickstrøm , Samuel Kuttner , Elisabeth Wetzer

For safe and robust autonomous driving, decision-making systems must effectively leverage past experiences to handle the inherent long-tail of traffic scenarios. Case-Based Reasoning (CBR) provides a natural paradigm for this by adapting…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Waikit Xiu , Qiang Lu , Bingchen Liu , Chen Sun , Xiying Li

Collisions, crashes, and other incidents on road networks, if left unmitigated, can potentially cause cascading failures that can affect large parts of the system. Timely handling such extreme congestion scenarios is imperative to reduce…

Artificial Intelligence · Computer Science 2023-05-17 Ashutosh Dutta , Milan Jain , Arif Khan , Arun Sathanur

Modeling complex spatiotemporal dynamics, particularly in far-from-equilibrium systems, remains a grand challenge in science. The governing partial differential equations (PDEs) for these systems are often intractable to derive from first…

Machine Learning · Computer Science 2026-01-26 Xizhe Wang , Xiaobin Song , Qingshan Jia , Hao Sun , Hongbo Zhao , Benben Jiang

Active traffic management (ATM) is frequently hindered by traditional macroscopic models and rigid empirical thresholds that fail to capture metastable phase precursors, resulting in delayed, reactive interventions. To address this, we…

Physics and Society · Physics 2026-05-25 Haopeng Deng , Fucheng Zheng , Xinhai Xia

Physics-informed machine learning (PIML) integrates prior physical information, often in the form of differential equation constraints, into the process of fitting machine learning models to physical data. Popular PIML approaches, including…

Machine Learning · Statistics 2025-10-31 Mara Daniels , Liam Hodgkinson , Michael Mahoney

Current imitation learning approaches, predominantly based on deep neural networks (DNNs), offer efficient mechanisms for learning driving policies from real-world datasets. However, they suffer from inherent limitations in interpretability…

Machine Learning · Computer Science 2025-12-22 Iman Sharifi , Mustafa Yildirim , Saber Fallah

Accurate estimation of long-term risk is essential for the design and analysis of stochastic dynamical systems. Existing risk quantification methods typically rely on extensive datasets involving risk events observed over extended time…

Machine Learning · Computer Science 2025-10-09 Zhuoyuan Wang , Albert Chern , Yorie Nakahira

Traffic prediction plays an essential role in intelligent transportation system. Accurate traffic prediction can assist route planing, guide vehicle dispatching, and mitigate traffic congestion. This problem is challenging due to the…

Signal Processing · Electrical Eng. & Systems 2021-03-22 Xueyan Yin , Genze Wu , Jinze Wei , Yanming Shen , Heng Qi , Baocai Yin

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

The Schr\"odinger bridge problem is concerned with finding a stochastic dynamical system bridging two marginal distributions that minimises a certain transportation cost. This problem, which represents a generalisation of optimal transport…

Machine Learning · Computer Science 2026-03-03 Kirill Tamogashev , Nikolay Malkin

This study proposes a Deep Belief Network model to classify traffic flow states. The model is capable of processing massive, high-density, and noise-contaminated data sets generated from smartphone sensors. The statistical features of…

Machine Learning · Computer Science 2017-09-27 Wenwen Tu , Feng Xiao , Liping Fu , Guangyuan Pan

Concepts and techniques from statistical physics inspired a new method for traffic prediction. This method is particularly suitable in settings where the only information available is floating car data. We propose a system, based on the…

Probability · Mathematics 2007-05-23 Arnaud De La Fortelle , Jean-Marc Lasgouttes , Cyril Furtlehner

The Spatio-Temporal Traffic Prediction (STTP) problem is a classical problem with plenty of prior research efforts that benefit from traditional statistical learning and recent deep learning approaches. While STTP can refer to many…

Machine Learning · Computer Science 2022-04-12 Leye Wang , Di Chai , Xuanzhe Liu , Liyue Chen , Kai Chen

Recent advances in scientific machine learning (SciML) have enabled neural operators (NOs) to serve as powerful surrogates for modeling the dynamic evolution of physical systems governed by partial differential equations (PDEs). While…

Machine Learning · Computer Science 2026-02-18 Siying Ma , Mehrdad M. Zadeh , Mauricio Soroco , Wuyang Chen , Jiguo Cao , Vijay Ganesh

Data-driven sensor interpretation in autonomous driving can lead to highly implausible predictions as can most of the time be verified with common-sense knowledge. However, learning common knowledge only from data is hard and approaches for…

Computer Vision and Pattern Recognition · Computer Science 2021-04-20 Linara Adilova , Elena Schulz , Maram Akila , Sebastian Houben , Jan David Schneider , Fabian Hueger , Tim Wirtz

This paper proposes a new stochastic model of traffic dynamics in Lagrangian coordinates. The source of uncertainty is heterogeneity in driving behavior, captured using driver-specific speed-spacing relations, i.e., parametric uncertainty.…

Systems and Control · Computer Science 2019-08-16 Fangfang Zheng , Saif Eddin Jabari , Henry X. Liu , DianChao Lin

Efficient real-time traffic prediction is crucial for reducing transportation time. To predict traffic conditions, we employ a spatio-temporal graph neural network (ST-GNN) to model our real-time traffic data as temporal graphs. Despite its…

Machine Learning · Computer Science 2025-01-03 Mohammad Izadi , Mehran Safayani , Abdolreza Mirzaei