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Stochastic differential equations (SDEs) are used to describe a wide variety of complex stochastic dynamical systems. Learning the hidden physics within SDEs is crucial for unraveling fundamental understanding of these systems' stochastic…

Machine Learning · Computer Science 2022-07-26 Jared O'Leary , Joel A. Paulson , Ali Mesbah

The integration of machine learning with domain-specific physics is transforming the design, monitoring, and control of electricity systems, where data scarcity, limited interpretability, and the need to enforce physical laws constrain…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Joseph Nyangon

We study the forecasting problem for traffic with dynamic, possibly periodical, and joint spatial-temporal dependency between regions. Given the aggregated inflow and outflow traffic of regions in a city from time slots 0 to t-1, we predict…

Machine Learning · Computer Science 2022-05-05 Guanyao Li , Shuhan Zhong , S. -H. Gary Chan , Ruiyuan Li , Chih-Chieh Hung , Wen-Chih Peng

Traffic prediction has gradually attracted the attention of researchers because of the increase in traffic big data. Therefore, how to mine the complex spatio-temporal correlations in traffic data to predict traffic conditions more…

Machine Learning · Computer Science 2021-12-07 Yuchen Fang , Yanjun Qin , Haiyong Luo , Fang Zhao , Chenxing Wang

We consider analyzing traffic accident patterns using both road network data and satellite images aligned to road graph nodes. Previous work for predicting accident occurrences relies primarily on road network structural features while…

Machine Learning · Computer Science 2026-05-15 Ziniu Zhang , Minxuan Duan , Haris N. Koutsopoulos , Hongyang R. Zhang

We address the traffic light control problem for a single intersection by viewing it as a stochastic hybrid system and developing a Stochastic Flow Model (SFM) for it. We adopt a quasi-dynamic control policy based on partial state…

Systems and Control · Computer Science 2013-08-06 Yanfeng Geng , Christos G. Cassandras

This work focuses on classification over time series data. When a time series is generated by non-stationary phenomena, the pattern relating the series with the class to be predicted may evolve over time (concept drift). Consequently,…

Machine Learning · Computer Science 2020-04-02 Eric L. Manibardo , Ibai Laña , Jesus L. Lobo , Javier Del Ser

Traffic accident forecasting is an important task for intelligent transportation management and emergency response systems. However, this problem is challenging due to the spatial heterogeneity of the environment. Existing data-driven…

Machine Learning · Computer Science 2024-12-23 Bang An , Xun Zhou , Amin Vahedian , Nick Street , Jinping Guan , Jun Luo

Obtaining accurate information about future traffic flows of all links in a traffic network is of great importance for traffic management and control applications. This research studies two particular problems in traffic forecasting: (1)…

Machine Learning · Computer Science 2020-11-17 Xinglei Wang , Xuefeng Guan , Jun Cao , Na Zhang , Huayi Wu

Physics-informed machine learning (PIML) integrates mechanistic knowledge, typically in the form of partial differential equations (PDE), into data-driven models. Despite strong empirical performance, its statistical generalisation…

Machine Learning · Computer Science 2026-05-27 Thien V. Nguyen , Amaury Habrard , Benjamin Guedj

Autonomous urban driving navigation with complex multi-agent dynamics is under-explored due to the difficulty of learning an optimal driving policy. The traditional modular pipeline heavily relies on hand-designed rules and the…

Computer Vision and Pattern Recognition · Computer Science 2018-07-11 Xiaodan Liang , Tairui Wang , Luona Yang , Eric Xing

The integration of autonomous driving technologies with vehicular networks presents significant challenges in privacy preservation, communication efficiency, and resource allocation. This paper proposes a novel U-shaped split federated…

Machine Learning · Computer Science 2024-11-12 Lu Yu , Zheng Chang , Yunjian Jia , Geyong Min

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

Physics-Informed Machine Learning (PIML) has gained momentum in the last 5 years with scientists and researchers aiming to utilize the benefits afforded by advances in machine learning, particularly in deep learning. With large scientific…

Computational Physics · Physics 2021-05-26 Samuel J. Raymond , David B. Camarillo

Physics-informed deep learning has been developed as a novel paradigm for learning physical dynamics recently. While general physics-informed deep learning methods have shown early promise in learning fluid dynamics, they are difficult to…

Fluid Dynamics · Physics 2024-06-07 Jing Qiu , Jiancheng Huang , Xiangdong Zhang , Zeng Lin , Minglei Pan , Zengding Liu , Fen Miao

Numerical methods for approximately solving partial differential equations (PDE) are at the core of scientific computing. Often, this requires high-resolution or adaptive discretization grids to capture relevant spatio-temporal features in…

Numerical Analysis · Mathematics 2021-01-19 Suryanarayana Maddu , Dominik Sturm , Bevan L. Cheeseman , Christian L. Müller , Ivo F. Sbalzarini

An expeditious development of graph learning in recent years has found innumerable applications in several diversified fields. Of the main associated challenges are the volume and complexity of graph data. The graph learning models suffer…

Machine Learning · Computer Science 2022-10-21 Ciyuan Peng , Feng Xia , Vidya Saikrishna , Huan Liu

Recent progress in advanced driver assistance systems and the race towards autonomous vehicles is mainly driven by two factors: (1) increasingly sophisticated algorithms that interpret the environment around the vehicle and react…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Marius Cordts , Timo Rehfeld , Lukas Schneider , David Pfeiffer , Markus Enzweiler , Stefan Roth , Marc Pollefeys , Uwe Franke

Physics-based simulations are often used to model and understand complex physical systems and processes in domains like fluid dynamics. Such simulations, although used frequently, have many limitations which could arise either due to the…

Machine Learning · Computer Science 2019-11-12 Nikhil Muralidhar , Jie Bu , Ze Cao , Long He , Naren Ramakrishnan , Danesh Tafti , Anuj Karpatne

We propose a stochastic projection-based gradient free physics-informed neural network. The proposed approach, referred to as the stochastic projection based physics informed neural network (SP-PINN), blends upscaled stochastic projection…

Computational Engineering, Finance, and Science · Computer Science 2022-09-29 Navaneeth N , Souvik Chakraborty