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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

We study the task of spatio-temporal extrapolation that generates data at target locations from surrounding contexts in a graph. This task is crucial as sensors that collect data are sparsely deployed, resulting in a lack of fine-grained…

Machine Learning · Computer Science 2023-05-31 Junfeng Hu , Yuxuan Liang , Zhencheng Fan , Hongyang Chen , Yu Zheng , Roger Zimmermann

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

Discovering the underlying relationships among variables from temporal observations has been a longstanding challenge in numerous scientific disciplines, including biology, finance, and climate science. The dynamics of such systems are…

Machine Learning · Computer Science 2024-05-07 Benjie Wang , Joel Jennings , Wenbo Gong

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

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

Interchanges are crucial nodes for vehicle transfers between highways, yet the lack of real-time ramp detectors creates blind spots in traffic prediction. To address this, we propose a Spatio-Temporal Decoupled Autoencoder (STDAE), a…

Machine Learning · Computer Science 2025-12-01 Yongchao Li , Jun Chen , Zhuoxuan Li , Chao Gao , Yang Li , Chu Zhang , Changyin Dong

Predicting the future trajectory of surrounding vehicles in a randomly varying traffic level is one of the most challenging problems in developing an autonomous vehicle. Since there is no pre-defined number of interacting vehicles…

Computer Vision and Pattern Recognition · Computer Science 2020-03-02 Hyeongseok Jeon , Junwon Choi , Dongsuk Kum

Deep neural networks have recently demonstrated the traffic prediction capability with the time series data obtained by sensors mounted on road segments. However, capturing spatio-temporal features of the traffic data often requires a…

Machine Learning · Computer Science 2019-02-19 Youngjoo Kim , Peng Wang , Lyudmila Mihaylova

Among various region embedding methods, graph-based region relation learning models stand out, owing to their strong structure representation ability for encoding spatial correlations with graph neural networks. Despite their effectiveness,…

Machine Learning · Computer Science 2023-05-09 Qianru Zhang , Chao Huang , Lianghao Xia , Zheng Wang , Zhonghang Li , Siuming Yiu

Traffic forecasting is essential to intelligent transportation systems, which is challenging due to the complicated spatial and temporal dependencies within a road network. Existing works usually learn spatial and temporal dependencies…

Machine Learning · Computer Science 2023-07-04 Binqing Wu , Ling Chen

This paper investigates traffic forecasting, which attempts to forecast the future state of traffic based on historical situations. This problem has received ever-increasing attention in various scenarios and facilitated the development of…

Machine Learning · Computer Science 2024-03-05 Wei Ju , Yusheng Zhao , Yifang Qin , Siyu Yi , Jingyang Yuan , Zhiping Xiao , Xiao Luo , Xiting Yan , Ming Zhang

Traffic flow prediction plays a crucial role in alleviating traffic congestion and enhancing transport efficiency. While combining graph convolution networks with recurrent neural networks for spatial-temporal modeling is a common strategy…

Machine Learning · Computer Science 2024-01-10 Haiyang Liu , Chunjiang Zhu , Detian Zhang

Graph-based reasoning over skeleton data has emerged as a promising approach for human action recognition. However, the application of prior graph-based methods, which predominantly employ whole temporal sequences as their input, to the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Lukas Hedegaard , Negar Heidari , Alexandros Iosifidis

Graph Convolution Networks (GCNs) are widely considered state-of-the-art for recommendation systems. Several studies in the field of recommendation systems have attempted to apply collaborative filtering (CF) into the Neural ODE framework.…

Information Retrieval · Computer Science 2025-01-24 Ke Xu , Weizhi Zhang , Zihe Song , Yuanjie Zhu , Philip S. Yu

Accurate and reliable prediction has profound implications to a wide range of applications. In this study, we focus on an instance of spatio-temporal learning problem--traffic prediction--to demonstrate an advanced deep learning model…

Machine Learning · Computer Science 2024-08-27 Pingping Dong , Xiao-Lin Wang , Indranil Bose , Kam K. H. Ng , Xiaoning Zhang , Xiaoge Zhang

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

This paper presents a new approach for predicting team performance from the behavioral traces of a set of agents. This spatiotemporal forecasting problem is very relevant to sports analytics challenges such as coaching and opponent…

Machine Learning · Computer Science 2022-06-23 Shengnan Hu , Gita Sukthankar

Traffic flow forecasting on graphs has real-world applications in many fields, such as transportation system and computer networks. Traffic forecasting can be highly challenging due to complex spatial-temporal correlations and non-linear…

Machine Learning · Computer Science 2022-07-13 Aosong Feng , Leandros Tassiulas

We present a generic framework for spatio-temporal (ST) data modeling, analysis, and forecasting, with a special focus on data that is sparse in both space and time. Our multi-scaled framework is a seamless coupling of two major components:…

Machine Learning · Computer Science 2018-04-04 Bao Wang , Xiyang Luo , Fangbo Zhang , Baichuan Yuan , Andrea L. Bertozzi , P. Jeffrey Brantingham
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