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Analyzing neural network dynamics via stochastic gradient descent (SGD) is crucial to building theoretical foundations for deep learning. Previous work has analyzed structured inputs within the \textit{hidden manifold model}, often under…

Machine Learning · Statistics 2025-12-01 Jaeyong Bae , Hawoong Jeong

Traffic forecasting has emerged as a crucial research area in the development of smart cities. Although various neural networks with intricate architectures have been developed to address this problem, they still face two key challenges: i)…

Machine Learning · Computer Science 2024-08-27 Jianxiang Zhou , Erdong Liu , Wei Chen , Siru Zhong , Yuxuan Liang

There is a recent surge in the development of spatio-temporal forecasting models in the transportation domain. Long-range traffic forecasting, however, remains a challenging task due to the intricate and extensive spatio-temporal…

Machine Learning · Computer Science 2023-06-02 Zibo Liu , Parshin Shojaee , Chandan K Reddy

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

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

Although spatio-temporal graph neural networks have achieved great empirical success in handling multiple correlated time series, they may be impractical in some real-world scenarios due to a lack of sufficient high-quality training data.…

Signal Processing · Electrical Eng. & Systems 2021-02-10 Chao Pan , Siheng Chen , Antonio Ortega

The lack of generalization in learning-based autonomous driving applications is shown by the narrow range of road scenarios that vehicles can currently cover. A generalizable approach should capture many distinct road structures and…

Machine Learning · Computer Science 2025-04-25 Juan Carlos Climent Pardo

We consider the problem of learning implicit neural representations (INRs) for signals on non-Euclidean domains. In the Euclidean case, INRs are trained on a discrete sampling of a signal over a regular lattice. Here, we assume that the…

Machine Learning · Computer Science 2022-10-06 Daniele Grattarola , Pierre Vandergheynst

In order to plan a safe maneuver an autonomous vehicle must accurately perceive its environment, and understand the interactions among traffic participants. In this paper, we aim to learn scene-consistent motion forecasts of complex urban…

Computer Vision and Pattern Recognition · Computer Science 2020-07-24 Sergio Casas , Cole Gulino , Simon Suo , Katie Luo , Renjie Liao , Raquel Urtasun

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

Traffic forecasting is pivotal for intelligent transportation systems, where accurate and interpretable predictions can significantly enhance operational efficiency and safety. A key challenge stems from the heterogeneity of traffic…

Machine Learning · Computer Science 2025-11-17 Seyed Mohamad Moghadas , Bruno Cornelis , Alexandre Alahi , Adrian Munteanu

Recent studies have shifted their focus towards formulating traffic forecasting as a spatio-temporal graph modeling problem. Typically, they constructed a static spatial graph at each time step and then connected each node with itself…

Machine Learning · Computer Science 2023-06-14 Chuanpan Zheng , Xiaoliang Fan , Shirui Pan , Haibing Jin , Zhaopeng Peng , Zonghan Wu , Cheng Wang , Philip S. Yu

Traffic flow forecasting is of great significance for improving the efficiency of transportation systems and preventing emergencies. Due to the highly non-linearity and intricate evolutionary patterns of short-term and long-term traffic…

Machine Learning · Computer Science 2020-12-01 Xu Chen , Yuanxing Zhang , Lun Du , Zheng Fang , Yi Ren , Kaigui Bian , Kunqing Xie

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

Typical dynamic ST data includes trajectory data (representing individual-level mobility) and traffic state data (representing population-level mobility). Traditional studies often treat trajectory and traffic state data as distinct,…

Artificial Intelligence · Computer Science 2024-12-03 Xie Yu , Jingyuan Wang , Yifan Yang , Qian Huang , Ke Qu

Spatial-temporal forecasting has attracted tremendous attention in a wide range of applications, and traffic flow prediction is a canonical and typical example. The complex and long-range spatial-temporal correlations of traffic flow bring…

Machine Learning · Computer Science 2021-06-25 Zheng Fang , Qingqing Long , Guojie Song , Kunqing Xie

Traffic forecasting is a cornerstone of smart city management, enabling efficient resource allocation and transportation planning. Deep learning, with its ability to capture complex nonlinear patterns in spatiotemporal (ST) data, has…

Machine Learning · Computer Science 2024-10-16 Hongjun Wang , Jiyuan Chen , Tong Pan , Zheng Dong , Lingyu Zhang , Renhe Jiang , Xuan Song

A central challenge in neuroscience is understanding how neural system implements computation through its dynamics. We propose a nonlinear time series model aimed at characterizing interpretable dynamics from neural trajectories. Our model…

Quantitative Methods · Quantitative Biology 2016-10-28 Yuan Zhao , Il Memming Park

Spatial-temporal graph representations play a crucial role in urban sensing applications, including traffic analysis, human mobility behavior modeling, and citywide crime prediction. However, a key challenge lies in the noisy and sparse…

Machine Learning · Computer Science 2025-08-15 Qianru Zhang , Xinyi Gao , Haixin Wang , Dong Huang , Siu-Ming Yiu , Hongzhi Yin

Representation learning over graph structure data has been widely studied due to its wide application prospects. However, previous methods mainly focus on static graphs while many real-world graphs evolve over time. Modeling such evolution…

Machine Learning · Statistics 2020-09-02 Tijin Yan , Hongwei Zhang , Zirui Li , Yuanqing Xia