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This paper derives practical algorithms, based on Bayesian inference methods, for several data analysis problems common in time series analysis of astronomical and other data. One problem is the determination of the lag between two time…

Numerical Analysis · Mathematics 2025-10-20 Jeffrey D. Scargle

Vehicle tracking in Wide Area Motion Imagery (WAMI) relies on associating vehicle detections across multiple WAMI frames to form tracks corresponding to individual vehicles. The temporal window length, i.e., the number $M$ of sequential…

Computer Vision and Pattern Recognition · Computer Science 2018-04-17 Ahmed Elliethy , Gaurav Sharma

The causal connection between congestions and velocity changes at different locations induces various statistical features, which we identify and measure in detail. We carry out an empirical analysis of large-scale traffic data on a local…

Physics and Society · Physics 2024-10-10 Shanshan Wang , Michael Schreckenberg , Thomas Guhr

Accurate prediction of travel time is an essential feature to support Intelligent Transportation Systems (ITS). The non-linearity of traffic states, however, makes this prediction a challenging task. Here we propose to use dynamic linear…

Machine Learning · Computer Science 2020-09-03 Semin Kwak , Nikolas Geroliminis

Public transport systems are expected to reduce pollution and contribute to sustainable development. However, disruptions in public transport such as delays may negatively affect mobility choices. To quantify delays, aggregated data from…

Machine Learning · Computer Science 2024-04-12 Przemysław Wrona , Maciej Grzenda , Marcin Luckner

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

The importance of understanding human mobility patterns has led many studies to examine their spatial-temporal scaling laws. These studies mainly reveal that human travel can be highly non-homogeneous with power-law scaling distributions of…

Physics and Society · Physics 2021-10-14 Xiaoyan Feng , Huijun Sun , Bnaya Gross , Jianjun Wu , Daqing Li , Xin Yang , Dong Zhou , Ziyou Gao , Shlomo Havlin

Next location prediction is of great importance for many location-based applications and provides essential intelligence to business and governments. In existing studies, a common approach to next location prediction is to learn the…

Artificial Intelligence · Computer Science 2020-03-18 Qingjie Liu , Yixuan Zuo , Xiaohui Yu , Meng Chen

By significant improvements in modern electrical systems, planning for unit commitment and power dispatching of them are two big concerns between the researchers. Short-term load forecasting plays a significant role in planning and…

Statistical Finance · Quantitative Finance 2020-10-01 Kasun Chandrarathna , Arman Edalati , AhmadReza Fourozan tabar

To accommodate the unprecedented increase of commercial airlines over the next ten years, the Next Generation Air Transportation System (NextGen) has been implemented in the USA that records large-scale Air Traffic Management (ATM) data to…

Machine Learning · Computer Science 2021-06-16 Kai Zhang , Yushan Jiang , Dahai Liu , Houbing Song

Since with massive data growth, the need for autonomous and generic anomaly detection system is increased. However, developing one stand-alone generic anomaly detection system that is accurate and fast is still a challenge. In this paper,…

Machine Learning · Computer Science 2018-12-03 Sooyeon Lee , Huy Kang Kim

Understanding the mechanisms responsible for the emergence and evolution of oscillations in traffic flow has been subject to intensive research by the traffic flow theory community. In our previous work, we proposed a new mechanism to…

Physics and Society · Physics 2019-01-01 Junfang Tian , H. M. Zhang , Martin Treiber , Rui Jiang , Zi-You Gao , Bin Jia

Transportation planning depends on predictions of the travel times between loading and unloading locations. While accurate techniques exist for making deterministic predictions of travel times based on real-world data, making stochastic…

Applications · Statistics 2018-08-22 Rodrigo Goncalves , Rui J. de Almeida , Remco M. Dijkman

Urban resource scheduling is an important part of the development of a smart city, and transportation resources are the main components of urban resources. Currently, a series of problems with transportation resources such as unbalanced…

Machine Learning · Computer Science 2020-09-02 Dongjie Wang , Yan Yang , Shangming Ning

The purpose of this paper is to give an overview of the time series forecasting problem based on similarity of trajectories. Various methodologies are introduced and studied, and detailed discussions on hyperparameter optimization, outlier…

Methodology · Statistics 2023-09-20 İlker Arslan , Can Hakan Dağıdır , Ümit Işlak

Accurate and timely traffic flow forecasting is crucial for intelligent transportation systems. This paper presents a novel deep learning model, the Spatial-Temporal Unified Graph Attention Network (STGAtt). By leveraging a unified graph…

Machine Learning · Computer Science 2025-08-26 Zhuding Liang , Jianxun Cui , Qingshuang Zeng , Feng Liu , Nenad Filipovic , Tijana Geroski

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

A central task in the analysis of human movement behavior is to determine systematic patterns and differences across experimental conditions, participants and repetitions. This is possible because human movement is highly regular, being…

Applications · Statistics 2023-01-23 Lars Lau Raket , Britta Grimme , Gregor Schöner , Christian Igel , Bo Markussen

Accurate vehicle trajectory prediction is essential for ensuring safety and efficiency in fully autonomous driving systems. While existing methods primarily focus on modeling observed motion patterns and interactions with other vehicles,…

Machine Learning · Computer Science 2025-07-15 Xinyi Ning , Zilin Bian , Dachuan Zuo , Semiha Ergan

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