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Traffic forecasting is a key task in the field of Intelligent Transportation Systems. Recent research on traffic forecasting has mainly focused on combining graph neural networks (GNNs) with other models. However, GNNs only consider…

Artificial Intelligence · Computer Science 2026-04-21 Xiao Wang , Shun-Ren Yang

Graph Neural Networks (GNNs) have demonstrated remarkable success in modeling complex relationships in graph-structured data. A recent innovation in this field is the family of Differential Equation-Inspired Graph Neural Networks (DE-GNNs),…

Machine Learning · Computer Science 2024-01-23 Moshe Eliasof , Eldad Haber , Eran Treister , Carola-Bibiane Schönlieb

Modeling continuous-time dynamics constitutes a foundational challenge, and uncovering inter-component correlations within complex systems holds promise for enhancing the efficacy of dynamic modeling. The prevailing approach of integrating…

Machine Learning · Computer Science 2023-12-19 Lanlan Chen , Kai Wu , Jian Lou , Jing Liu

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

Predicting road traffic speed is a challenging task due to different types of roads, abrupt speed change and spatial dependencies between roads; it requires the modeling of dynamically changing spatial dependencies among roads and temporal…

Machine Learning · Computer Science 2020-10-21 Cheonbok Park , Chunggi Lee , Hyojin Bahng , Yunwon Tae , Kihwan Kim , Seungmin Jin , Sungahn Ko , Jaegul Choo

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

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

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

Astronomical time series from large-scale surveys like LSST are often irregularly sampled and incomplete, posing challenges for classification and anomaly detection. We introduce a new framework based on Neural Stochastic Delay Differential…

Machine Learning · Computer Science 2026-04-03 YongKyung Oh , Seungsu Kam , Dong-Young Lim , Sungil Kim

City-scale logistics routing has become increasingly challenging as metropolitan road networks grow to tens of millions of edges and traffic conditions evolve rapidly under high-volume mobility demands. Conventional centralized routing…

Systems and Control · Electrical Eng. & Systems 2025-12-23 Zihan Han , Lingran Meng , Jingwei Zhang

Spatial-temporal data forecasting of traffic flow is a challenging task because of complicated spatial dependencies and dynamical trends of temporal pattern between different roads. Existing frameworks typically utilize given spatial…

Machine Learning · Computer Science 2021-03-09 Mengzhang Li , Zhanxing Zhu

Spatial-temporal network traffic forecasting is a challenging task due to the complex spatial relationships and dynamic temporal patterns present in each node. Traditional regression methods are not directly applicable to such graph data.…

Information Retrieval · Computer Science 2026-05-12 Jinming Xing , Guoheng Sun , Hui Sun , Linchao Pan , Shakir Mahmood , Xuanhao Luo , Muhammad Shahzad

Traffic flow forecasting is considered a critical task in the field of intelligent transportation systems. In this paper, to address the issue of low accuracy in long-term forecasting of spatial-temporal big data on traffic flow, we propose…

Machine Learning · Computer Science 2024-07-17 Baichao Long , Wang Zhu , Jianli Xiao

Solving large complex partial differential equations (PDEs), such as those that arise in computational fluid dynamics (CFD), is a computationally expensive process. This has motivated the use of deep learning approaches to approximate the…

Machine Learning · Computer Science 2020-08-18 Filipe de Avila Belbute-Peres , Thomas D. Economon , J. Zico Kolter

Heterogeneous temporal graphs (HTGs) are ubiquitous data structures in the real world. Recently, to enhance representation learning on HTGs, numerous attention-based neural networks have been proposed. Despite these successes, existing…

Machine Learning · Computer Science 2025-10-22 Yili Wang , Tairan Huang , Changlong He , Qiutong Li , Jianliang Gao

Recently, deep learning methods have made great progress in traffic prediction, but their performance depends on a large amount of historical data. In reality, we may face the data scarcity issue. In this case, deep learning models fail to…

Machine Learning · Computer Science 2022-07-05 Xueyan Yin , Feifan Li , Yanming Shen , Heng Qi , Baocai Yin

Traffic forecasting is a core element of intelligent traffic monitoring system. Approaches based on graph neural networks have been widely used in this task to effectively capture spatial and temporal dependencies of road networks. However,…

Machine Learning · Computer Science 2022-03-10 Yaobin Xu , Weitang Liu , Zhongyi Jiang , Zixuan Xu , Tingyun Mao , Lili Chen , Mingwei Zhou

In this paper, we focus on the generation of time-series data using neural networks. It is often the case that input time-series data have only one realized (and usually irregularly sampled) path, which makes it difficult to extract…

Machine Learning · Computer Science 2022-08-25 Kohei Hayashi , Kei Nakagawa

Anomaly detection in dynamic graphs presents a significant challenge due to the temporal evolution of graph structures and attributes. The conventional approaches that tackle this problem typically employ an unsupervised learning framework,…

Machine Learning · Computer Science 2024-08-16 Jie Liu , Xuequn Shang , Xiaolin Han , Kai Zheng , Hongzhi Yin

Time series modeling and analysis have become critical in various domains. Conventional methods such as RNNs and Transformers, while effective for discrete-time and regularly sampled data, face significant challenges in capturing the…

Machine Learning · Computer Science 2025-09-30 YongKyung Oh , Seungsu Kam , Jonghun Lee , Dong-Young Lim , Sungil Kim , Alex Bui

Spatio-temporal graph signal analysis has a significant impact on a wide range of applications, including hand/body pose action recognition. To achieve effective analysis, spatio-temporal graph convolutional networks (ST-GCN) leverage the…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Zida Cheng , Siheng Chen , Ya Zhang