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This paper proposes a temporal graph neural network model for forecasting of graph-structured irregularly observed time series. Our TGNN4I model is designed to handle both irregular time steps and partial observations of the graph. This is…

Machine Learning · Statistics 2023-02-17 Joel Oskarsson , Per Sidén , Fredrik Lindsten

Traffic forecasting is one of the most fundamental problems in transportation science and artificial intelligence. The key challenge is to effectively model complex spatial-temporal dependencies and correlations in modern traffic data.…

Machine Learning · Computer Science 2023-02-28 Haiyang Liu , Chunjiang Zhu , Detian Zhang , Qing Li

We introduce the framework of continuous--depth graph neural networks (GNNs). Graph neural ordinary differential equations (GDEs) are formalized as the counterpart to GNNs where the input-output relationship is determined by a continuum of…

Machine Learning · Computer Science 2021-06-23 Michael Poli , Stefano Massaroli , Junyoung Park , Atsushi Yamashita , Hajime Asama , Jinkyoo Park

Modern graph representation learning works mostly under the assumption of dealing with regularly sampled temporal graph snapshots, which is far from realistic, e.g., social networks and physical systems are characterized by continuous…

Machine Learning · Computer Science 2024-09-11 Alessio Gravina , Daniele Zambon , Davide Bacciu , Cesare Alippi

As an important part of intelligent transportation systems, traffic forecasting has attracted tremendous attention from academia and industry. Despite a lot of methods being proposed for traffic forecasting, it is still difficult to model…

Machine Learning · Computer Science 2022-10-07 Le Zhao , Mingcai Chen , Yuntao Du , Haiyang Yang , Chongjun Wang

Multivariate time series forecasting is a challenging task because the data involves a mixture of long- and short-term patterns, with dynamic spatio-temporal dependencies among variables. Existing graph neural networks (GNN) typically model…

Machine Learning · Computer Science 2021-12-08 Zhuoling Li , Gaowei Zhang , Lingyu Xu , Jie Yu

Traffic forecasting is a particularly challenging application of spatiotemporal forecasting, due to the time-varying traffic patterns and the complicated spatial dependencies on road networks. To address this challenge, we learn the traffic…

Machine Learning · Computer Science 2019-11-06 Zhiyong Cui , Kristian Henrickson , Ruimin Ke , Ziyuan Pu , Yinhai Wang

Accurate traffic forecasting, the foundation of intelligent transportation systems (ITS), has never been more significant than nowadays due to the prosperity of smart cities and urban computing. Recently, Graph Neural Network truly…

Machine Learning · Computer Science 2022-05-18 Jiabin Tang , Tang Qian , Shijing Liu , Shengdong Du , Jie Hu , Tianrui Li

Road traffic forecasting is crucial in real-world intelligent transportation scenarios like traffic dispatching and path planning in city management and personal traveling. Spatio-temporal graph neural networks (STGNNs) stand out as the…

Machine Learning · Computer Science 2025-01-03 Yuchen Fang , Yuxuan Liang , Bo Hui , Zezhi Shao , Liwei Deng , Xu Liu , Xinke Jiang , Kai Zheng

Neural forecasting of spatiotemporal time series drives both research and industrial innovation in several relevant application domains. Graph neural networks (GNNs) are often the core component of the forecasting architecture. However, in…

Machine Learning · Computer Science 2023-02-21 Andrea Cini , Ivan Marisca , Filippo Maria Bianchi , Cesare Alippi

There has been an increasing interest in modeling continuous-time dynamics of temporal graph data. Previous methods encode time-evolving relational information into a low-dimensional representation by specifying discrete layers of neural…

Machine Learning · Computer Science 2022-06-01 Jin Guo , Zhen Han , Zhou Su , Jiliang Li , Volker Tresp , Yuyi Wang

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

Stochastic partial differential equations (SPDEs) are the mathematical tool of choice for modelling spatiotemporal PDE-dynamics under the influence of randomness. Based on the notion of mild solution of an SPDE, we introduce a novel neural…

Machine Learning · Computer Science 2022-09-27 Cristopher Salvi , Maud Lemercier , Andris Gerasimovics

The physical world is governed by the laws of physics, often represented in form of nonlinear partial differential equations (PDEs). Unfortunately, solution of PDEs is non-trivial and often involves significant computational time. With…

Machine Learning · Statistics 2021-08-25 Yash Kumar , Souvik Chakraborty

Spatio-temporal graph neural networks (STGNN) have emerged as the dominant model for spatio-temporal graph (STG) forecasting. Despite their success, they fail to model intrinsic uncertainties within STG data, which cripples their…

Machine Learning · Computer Science 2024-03-12 Haomin Wen , Youfang Lin , Yutong Xia , Huaiyu Wan , Qingsong Wen , Roger Zimmermann , Yuxuan Liang

Long-term traffic flow forecasting plays a crucial role in intelligent transportation as it allows traffic managers to adjust their decisions in advance. However, the problem is challenging due to spatio-temporal correlations and complex…

Machine Learning · Computer Science 2024-08-14 Zibo Liu , Zhe Jiang , Shigang Chen

Spatio-temporal time series (STTS) have been widely used in many applications. However, accurately forecasting STTS is challenging due to complex dynamic correlations in both time and space dimensions. Existing graph neural networks…

Machine Learning · Computer Science 2025-06-03 Jiankai Zheng , Liang Xie

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

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 forecasting is essential for smart cities to achieve traffic control, route planning, and flow detection. Although many spatial-temporal methods are currently proposed, these methods are deficient in capturing the…

Machine Learning · Computer Science 2024-03-07 Aoyu Liu , Yaying Zhang