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The Physics-Constrained DeepONet (PC-DeepONet), an architecture that incorporates fundamental physics knowledge into the data-driven DeepONet model, is presented in this study. This methodology is exemplified through surrogate modeling of…

Real-time traffic flow prediction can not only provide travelers with reliable traffic information so that it can save people's time, but also assist the traffic management agency to manage traffic system. It can greatly improve the…

Machine Learning · Statistics 2018-08-17 Zeren Tan , Ruimin Li

Accurate traffic forecasting is essential for effective urban planning and congestion management. Deep learning (DL) approaches have gained colossal success in traffic forecasting but still face challenges in capturing the intricacies of…

Artificial Intelligence · Computer Science 2024-04-19 Songtao Huang , Hongjin Song , Tianqi Jiang , Akbar Telikani , Jun Shen , Qingguo Zhou , Binbin Yong , Qiang Wu

Partial differential equations (PDEs) govern nearly every physical process in science and engineering, yet solving them at scale remains prohibitively expensive. Generative AI has transformed language, vision, and protein science, but…

Machine Learning · Computer Science 2026-04-10 Yilong Dai , Shengyu Chen , Xiaowei Jia , Runlong Yu

Traffic forecasting is an important issue in intelligent traffic systems (ITS). Graph neural networks (GNNs) are effective deep learning models to capture the complex spatio-temporal dependency of traffic data, achieving ideal prediction…

Machine Learning · Computer Science 2023-05-03 Weiheng Zhong , Hadi Meidani , Jane Macfarlane

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

In recent years, traffic flow prediction has played a crucial role in the management of intelligent transportation systems. However, traditional forecasting methods often model non-Euclidean low-dimensional traffic data as a simple graph…

Machine Learning · Computer Science 2025-01-08 Mei Wu , Yiqian Lin , Tianfan Jiang , Wenchao Weng

Graph Neural Networks (GNNs) often struggle in preserving high-frequency components of nodal signals when dealing with directed graphs. Such components are crucial for modeling flow dynamics, without which a traditional GNN tends to treat a…

Machine Learning · Computer Science 2025-06-09 Haoyang Jiang , Jindong Wang , Xingquan Zhu , Yi He

Accurate traffic flow prediction heavily relies on the spatio-temporal correlation of traffic flow data. Most current studies separately capture correlations in spatial and temporal dimensions, making it difficult to capture complex…

Machine Learning · Computer Science 2025-01-03 Ben-Ao Dai , Nengchao Lyu , Yongchao Miao

Urban metro flow prediction is of great value for metro operation scheduling, passenger flow management and personal travel planning. However, it faces two main challenges. First, different metro stations, e.g. transfer stations and…

Machine Learning · Computer Science 2022-04-07 Peng Xie , Minbo Ma , Tianrui Li , Shenggong Ji , Shengdong Du , Zeng Yu , Junbo Zhang

Spatiotemporal Traffic Data (STTD) measures the complex dynamical behaviors of the multiscale transportation system. Existing methods aim to reconstruct STTD using low-dimensional models. However, they are limited to data-specific…

Machine Learning · Computer Science 2024-10-25 Tong Nie , Guoyang Qin , Wei Ma , Jian Sun

Accurate and refined passenger flow prediction is essential for optimizing the collaborative management of multiple collection and distribution modes in large-scale transportation hubs. Traditional methods often focus only on the overall…

Machine Learning · Computer Science 2025-04-10 Ronghui Zhang , Wenbin Xing , Mengran Li , Zihan Wang , Junzhou Chen , Xiaolei Ma , Zhiyuan Liu , Zhengbing He

Spatio-temporal dynamics of physical processes are generally modeled using partial differential equations (PDEs). Though the core dynamics follows some principles of physics, real-world physical processes are often driven by unknown…

Machine Learning · Computer Science 2021-09-01 Priyabrata Saha , Saurabh Dash , Saibal Mukhopadhyay

Spatiotemporal forecasting has various applications in neuroscience, climate and transportation domain. Traffic forecasting is one canonical example of such learning task. The task is challenging due to (1) complex spatial dependency on…

Machine Learning · Computer Science 2018-02-26 Yaguang Li , Rose Yu , Cyrus Shahabi , Yan Liu

Accurate traffic prediction is essential for Intelligent Transportation Systems (ITS), yet current methods struggle with the inherent complexity and non-linearity of traffic dynamics, making it difficult to integrate spatial and temporal…

Machine Learning · Computer Science 2025-07-02 Ruiyuan Jiang , Dongyao Jia , Eng Gee Lim , Pengfei Fan , Yuli Zhang , Shangbo Wang

We propose a method for the data-driven inference of temporal evolutions of physical functions with deep learning. More specifically, we target fluid flows, i.e. Navier-Stokes problems, and we propose a novel LSTM-based approach to predict…

Machine Learning · Computer Science 2019-03-06 Steffen Wiewel , Moritz Becher , Nils Thuerey

Traffic forecasting is one of the most popular spatio-temporal tasks in the field of machine learning. A prevalent approach in the field is to combine graph convolutional networks and recurrent neural networks for the spatio-temporal…

Machine Learning · Computer Science 2021-12-08 Jeongwhan Choi , Hwangyong Choi , Jeehyun Hwang , Noseong Park

Traffic management in a city has become a major problem due to the increasing number of vehicles on roads. Intelligent Transportation System (ITS) can help the city traffic managers to tackle the problem by providing accurate traffic…

Machine Learning · Computer Science 2021-11-04 Shatrughan Modi , Jhilik Bhattacharya , Prasenjit Basak

Forecasting future traffic flows from previous ones is a challenging problem because of their complex and dynamic nature of spatio-temporal structures. Most existing graph-based CNNs attempt to capture the static relations while largely…

Computer Vision and Pattern Recognition · Computer Science 2020-03-06 Ken Chen , Fei Chen , Baisheng Lai , Zhongming Jin , Yong Liu , Kai Li , Long Wei , Pengfei Wang , Yandong Tang , Jianqiang Huang , Xian-Sheng Hua

Machine learning is gaining growing momentum in various recent models for the dynamic analysis of information flows in data communications networks. These preliminary models often rely on off-the-shelf learning models to predict from…

Machine Learning · Computer Science 2023-04-04 Xiangle Cheng , James He , Shihan Xiao , Yingxue Zhang , Zhitang Chen , Pascal Poupart , Fenglin Li