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Accurately forecasting traffic flows is critically important to many real applications including public safety and intelligent transportation systems. The challenges of this problem include both the dynamic mobility patterns of the people…

Machine Learning · Computer Science 2024-04-24 Hao Miao , Senzhang Wang , Meiyue Zhang , Diansheng Guo , Funing Sun , Fan Yang

Traffic time series forecasting is challenging due to complex spatio-temporal dynamics time series from different locations often have distinct patterns; and for the same time series, patterns may vary across time, where, for example, there…

Machine Learning · Computer Science 2022-04-06 Razvan-Gabriel Cirstea , Bin Yang , Chenjuan Guo , Tung Kieu , Shirui Pan

Accurately predicting spatio-temporal network traffic is essential for dynamically managing computing resources in modern communication systems and minimizing energy consumption. Although spatio-temporal traffic prediction has received…

Machine Learning · Computer Science 2026-03-24 Xintong Wang , Haihan Nan , Ruidong Li , Huaming Wu

This paper considers numerical discretization of a nonlocal conservation law modeling vehicular traffic flows involving nonlocal inter-vehicle interactions. The nonlocal model involves an integral over the range measured by a horizon…

Numerical Analysis · Mathematics 2023-01-04 Kuang Huang , Qiang Du

Accurate long series forecasting of traffic information is critical for the development of intelligent traffic systems. We may benefit from the rapid growth of neural network analysis technology to better understand the underlying…

Machine Learning · Computer Science 2022-10-06 Ruikang Luo , Yaofeng Song , Liping Huang , Yicheng Zhang , Rong Su

We consider an integro-differential equation model for traffic flow which is an extension of the Burgers equation model. To discuss the model, we first examine general settings for integrable integro-differential equations and find that…

Exactly Solvable and Integrable Systems · Physics 2024-02-21 Kohei Higashi

Accurate forecasting of traffic conditions is critical for improving safety, stability, and efficiency of a city transportation system. In reality, it is challenging to produce accurate traffic forecasts due to the complex and dynamic…

Applications · Statistics 2021-08-06 Tiange Wang , Zijun Zhang , Kwok-Leung Tsui

This work presents a model reduction approach for problems with coherent structures that propagate over time such as convection-dominated flows and wave-type phenomena. Traditional model reduction methods have difficulties with these…

Numerical Analysis · Mathematics 2020-06-16 Benjamin Peherstorfer

Short-term traffic flow prediction is a vital branch of the Intelligent Traffic System (ITS) and plays an important role in traffic management. Graph convolution network (GCN) is widely used in traffic prediction models to better deal with…

Machine Learning · Computer Science 2022-05-11 Zhijun Chen , Zhe Lu , Qiushi Chen , Hongliang Zhong , Yishi Zhang , Jie Xue , Chaozhong Wu

Traffic forecasting as a canonical task of multivariate time series forecasting has been a significant research topic in AI community. To address the spatio-temporal heterogeneity and non-stationarity implied in the traffic stream, in this…

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

With the advent of advanced 4G/5G mobile networks, mobile phone data collected by operators now includes detailed, service-specific traffic information with high spatio-temporal resolution. In this paper, we leverage this type of data to…

Machine Learning · Computer Science 2024-11-26 Giulio Loddi , Chiara Pugliese , Francesco Lettich , Fabio Pinelli , Chiara Renso

This study addresses the problem of convolutional kernel learning in univariate, multivariate, and multidimensional time series data, which is crucial for interpreting temporal patterns in time series and supporting downstream machine…

Machine Learning · Computer Science 2025-04-17 Xinyu Chen , HanQin Cai , Fuqiang Liu , Jinhua Zhao

Urban traffic speed prediction aims to estimate the future traffic speed for improving the urban transportation services. Enormous efforts have been made on exploiting spatial correlations and temporal dependencies of traffic speed evolving…

Machine Learning · Computer Science 2022-12-27 Dongkun Wang , Wei Fan , Pengyang Wang , Pengfei Wang , Dongjie Wang , Denghui Zhang , Yanjie Fu

This paper presents a scalable deep learning approach for short-term traffic prediction based on historical traffic data in a vehicular road network. Capturing the spatio-temporal relationship of the big data often requires a significant…

Machine Learning · Computer Science 2021-03-04 Youngjoo Kim , Peng Wang , Lyudmila Mihaylova

We propose a data-driven framework to learn interaction kernels in stochastic multi-agent systems. Our approach aims at identifying the functional form of nonlocal interaction and diffusion terms directly from trajectory data, without any a…

Machine Learning · Computer Science 2026-03-18 Giacomo Albi , Alessandro Alla , Elisa Calzola

Point process data are becoming ubiquitous in modern applications, such as social networks, health care, and finance. Despite the powerful expressiveness of the popular recurrent neural network (RNN) models for point process data, they may…

Machine Learning · Computer Science 2022-11-22 Zheng Dong , Xiuyuan Cheng , Yao Xie

As a core task in intelligent transportation systems, traffic forecasting plays a critical role in urban traffic management. Accurate traffic forecasting relies on modeling complex spatiotemporal dependencies, which is inherently…

Artificial Intelligence · Computer Science 2026-05-26 Ruiwen Gu , Yahao Liu , Zhenyu Liu , Qitai Tan , Xiao-Ping Zhang

We propose a novel multiple-scale spatial marching method for flows with slow streamwise variation. The key idea is to couple the boundary region equations, which govern large-scale flow evolution, with local exact coherent structures that…

Fluid Dynamics · Physics 2026-01-14 Runjie Song , Kengo Deguchi

Trajectory planning is crucial for the safe driving of autonomous vehicles in highway traffic flow. Currently, some advanced trajectory planning methods utilize spatio-temporal voxels to construct feasible regions and then convert…

Robotics · Computer Science 2023-10-05 Zhiqiang Jian , Songyi Zhang , Lingfeng Sun , Wei Zhan , Masayoshi Tomizuka , Nanning Zheng