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Accurate traffic forecasting plays a vital role in intelligent transportation systems, enabling applications such as congestion control, route planning, and urban mobility optimization. However, traffic forecasting remains challenging due…

Artificial Intelligence · Computer Science 2025-11-18 Minlan Shao , Zijian Zhang , Yili Wang , Yiwei Dai , Xu Shen , Xin Wang

A data-driven analysis method known as dynamic mode decomposition (DMD) approximates the linear Koopman operator on projected space. In the spirit of Johnson-Lindenstrauss Lemma, we will use random projection to estimate the DMD modes in…

Machine Learning · Computer Science 2021-11-09 Sudam Surasinghe , Erik M. Bollt

Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system…

Optimization and Control · Mathematics 2022-11-15 Sourya Dey

Mitigating traffic oscillations in mixed flows of connected automated vehicles (CAVs) and human-driven vehicles (HDVs) is critical for enhancing traffic stability. A key challenge lies in modeling the nonlinear, heterogeneous behaviors of…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Hao Lyu , Yanyong Guo , Pan Liu , Nan Zheng , Ting Wang , Quansheng Yue

Traffic flow forecasting has been regarded as a key problem of intelligent transport systems. In this work, we propose a hybrid multimodal deep learning method for short-term traffic flow forecasting, which can jointly and adaptively learn…

Machine Learning · Computer Science 2019-03-20 Shengdong Du , Tianrui Li , Xun Gong , Shi-Jinn Horng

We present a data-efficient algorithm for learning models for model-predictive control (MPC). Our approach, Jacobian-Regularized Dynamic-Mode Decomposition (JDMD), offers improved sample efficiency over traditional Koopman approaches based…

Robotics · Computer Science 2023-01-31 Brian E. Jackson , Jeong Hun Lee , Kevin Tracy , Zachary Manchester

Forecasting the short-term ridership among origin-destination pairs (OD matrix) of a metro system is crucial in real-time metro operation. However, this problem is notoriously difficult due to the high-dimensional, sparse, noisy, and skewed…

Applications · Statistics 2022-06-15 Zhanhong Cheng , Martin Trepanier , Lijun Sun

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

One of the central challenge for extracting governing principles of dynamical system via Dynamic Mode Decomposition (DMD) is about the limit data availability or formally called as Limited Data Acquisition in the present paper. In the…

Dynamical Systems · Mathematics 2024-08-31 Himanshu Singh

Highway traffic states data collected from a network of sensors can be considered a high-dimensional nonlinear dynamical system. In this paper, we develop a novel data-driven method -- anti-circulant dynamic mode decomposition with…

Applications · Statistics 2025-04-09 Xudong Wang , Lijun Sun

Recent endeavors aimed at forecasting future traffic flow states through deep learning encounter various challenges and yield diverse outcomes. A notable obstacle arises from the substantial data requirements of deep learning models, a…

Machine Learning · Computer Science 2024-04-02 Zhaohui Yang , Kshitij Jerath

Traffic prediction aims to forecast future traffic conditions using historical traffic data, serving a crucial role in urban computing and transportation management. While transfer learning and federated learning have been employed to…

Machine Learning · Computer Science 2026-02-03 Zhihao Zeng , Ziquan Fang , Yuting Huang , Lu Chen , Yunjun Gao

The ability to predict traffic flow over time for crowded areas during rush hours is increasingly important as it can help authorities make informed decisions for congestion mitigation or scheduling of infrastructure development in an area.…

Machine Learning · Computer Science 2023-04-03 Zann Koh , Yan Qin , Yong Liang Guan , Chau Yuen

Urban congestions cause inefficient movement of vehicles and exacerbate greenhouse gas emissions and urban air pollution. Macroscopic emission fundamental diagram (eMFD)captures an orderly relationship among emission and aggregated traffic…

This paper proposes a distributed data-driven framework for dynamics learning, termed distributed deep Koopman learning using partial trajectories (DDKL-PT). In this framework, each agent in a multi-agent system is assigned a partial…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Wenjian Hao , Zehui Lu , Devesh Upadhyay , Shaoshuai Mou

Traffic prediction is critical for optimizing travel scheduling and enhancing public safety, yet the complex spatial and temporal dynamics within traffic data present significant challenges for accurate forecasting. In this paper, we…

Machine Learning · Computer Science 2025-02-19 Lingxiao Cao , Bin Wang , Guiyuan Jiang , Yanwei Yu , Junyu Dong

Traffic forecasting is crucial for urban traffic management and guidance. However, existing methods rarely exploit the time-frequency properties of traffic speed observations, and often neglect the propagation of traffic flows from upstream…

Computer Vision and Pattern Recognition · Computer Science 2019-04-16 Na Zhang , Xuefeng Guan , Jun Cao , Xinglei Wang , Huayi Wu

Many of today's data is time-series data originating from various sources, such as sensors, transaction systems, or production systems. Major challenges with such data include privacy and business sensitivity. Generative time-series models…

Machine Learning · Computer Science 2024-06-19 David Bergström , Mattias Tiger , Fredrik Heintz

We propose a model to simulate different traffic-flow conditions in terms of quantum graphs hosting an (N+1)-level dot at each site. Our model allows us to keep track of the type and of the destination of each vehicle. The traffic flow…

Statistical Mechanics · Physics 2023-02-15 Andrea Nava , Domenico Giuliano , Alessandro Papa , Marco Rossi

We analyze the performance of Dynamic Mode Decomposition (DMD)-based approximations of the stochastic Koopman operator for random dynamical systems where either the dynamics or observables are affected by noise. For many DMD algorithms, the…

Dynamical Systems · Mathematics 2022-02-04 Mathias Wanner , Igor Mezić