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Neural Controlled Differential Equations (Neural CDEs) provide a powerful continuous-time framework for sequence modeling, yet the roughness of the driving control path often restricts their efficiency. Standard splines introduce…

Machine Learning · Computer Science 2026-02-03 Egor Serov , Ilya Kuleshov , Alexey Zaytsev

Accurately predicting the future motion of surrounding vehicles requires reasoning about the inherent uncertainty in driving behavior. This uncertainty can be loosely decoupled into lateral (e.g., keeping lane, turning) and longitudinal…

Computer Vision and Pattern Recognition · Computer Science 2021-09-17 Nachiket Deo , Eric M. Wolff , Oscar Beijbom

To model time series accurately is important within a wide range of fields. As the world is generally too complex to be modelled exactly, it is often meaningful to assess the probability of a dynamical system to be in a specific state. This…

Machine Learning · Computer Science 2023-03-16 Mari Dahl Eggen , Alise Danielle Midtfjord

Traffic prediction is pivotal for rational transportation supply scheduling and allocation. Existing researches into short-term traffic prediction, however, face challenges in adequately addressing exceptional circumstances and integrating…

Computation and Language · Computer Science 2024-05-14 Xiannan Huang

Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this work, we propose to capture the essential dynamics of…

Numerical Analysis · Mathematics 2021-09-07 Ricardo A. Delgadillo , Jingwei Hu , Haizhao Yang

Predicting large-scale transportation network traffic has become an important and challenging topic in recent decades. Inspired by the domain knowledge of motion prediction, in which the future motion of an object can be predicted based on…

Machine Learning · Computer Science 2017-05-09 Haiyang Yu , Zhihai Wu , Shuqin Wang , Yunpeng Wang , Xiaolei Ma

Traffic forecasting is important in intelligent transportation systems of webs and beneficial to traffic safety, yet is very challenging because of the complex and dynamic spatio-temporal dependencies in real-world traffic systems. Prior…

Machine Learning · Computer Science 2021-12-07 Yuchen Fang , Yanjun Qin , Haiyong Luo , Fang Zhao , Liang Zeng , Bo Hui , Chenxing Wang

Forecasting traffic flows is a central task in intelligent transportation system management. Graph structures have shown promise as a modeling framework, with recent advances in spatio-temporal modeling via graph convolution neural…

Machine Learning · Computer Science 2021-10-05 Yuanjie Lu , Parastoo Kamranfar , David Lattanzi , Amarda Shehu

As a crucial technique for developing a smart city, traffic forecasting has become a popular research focus in academic and industrial communities for decades. This task is highly challenging due to complex and dynamic spatial-temporal…

Machine Learning · Computer Science 2024-01-29 Jiajia Wu , Ling Chen

To tackle ever-increasing city traffic congestion problems, researchers have proposed deep learning models to aid decision-makers in the traffic control domain. Although the proposed models have been remarkably improved in recent years,…

Machine Learning · Computer Science 2022-08-10 Hyunwook Lee , Cheonbok Park , Seungmin Jin , Hyeshin Chu , Jaegul Choo , Sungahn Ko

Traffic flow forecasting aims to predict future traffic flows based on the historical traffic conditions and the road network. It is an important problem in intelligent transportation systems, with a plethora of methods been proposed.…

Machine Learning · Computer Science 2025-08-04 Yusheng Zhao , Xiao Luo , Haomin Wen , Zhiping Xiao , Wei Ju , Ming Zhang

Space-time visualizations of macroscopic or microscopic traffic variables is a qualitative tool used by traffic engineers to understand and analyze different aspects of road traffic dynamics. We present a deep learning method to learn the…

Machine Learning · Computer Science 2022-04-12 Bilal Thonnam Thodi , Zaid Saeed Khan , Saif Eddin Jabari , Monica Menendez

Accurate traffic flow forecasting is a crucial research topic in transportation management. However, it is a challenging problem due to rapidly changing traffic conditions, high nonlinearity of traffic flow, and complex spatial and temporal…

Machine Learning · Computer Science 2024-06-06 Sanghyun Lee , Chanyoung Park

We study a dynamic traffic assignment model, where agents base their instantaneous routing decisions on real-time delay predictions. We formulate a mathematically concise model and define dynamic prediction equilibrium (DPE) in which no…

Computer Science and Game Theory · Computer Science 2024-09-20 Lukas Graf , Tobias Harks , Kostas Kollias , Michael Markl

Accurate air quality forecasting is essential for public health and environmental sustainability, but remains challenging due to the complex pollutant dynamics. Existing deep learning methods often model pollutant dynamics as an…

Machine Learning · Computer Science 2026-03-19 Binqing Wu , Zongjiang Shang , Shiyu Liu , Jianlong Huang , Jiahui Xu , Ling Chen

Traffic prediction represents one of the crucial tasks for smartly optimizing the mobile network. Recently, Artificial Intelligence (AI) has attracted attention to solve this problem thanks to its ability in cognizing the state of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-30 Alfredo Petrella , Marco Miozzo , Paolo Dini

Recent advancements in Spatiotemporal Graph Neural Networks (ST-GNNs) and Transformers have demonstrated promising potential for traffic forecasting by effectively capturing both temporal and spatial correlations. The generalization ability…

Machine Learning · Computer Science 2024-10-02 Hongjun Wang , Jiyuan Chen , Tong Pan , Zheng Dong , Lingyu Zhang , Renhe Jiang , Xuan Song

Traffic time series forecasting is challenging due to complex spatio-temporal dynamics time series from different locations often have distinct patterns; and for the same time series, patterns may vary across time, where, for example, there…

Machine Learning · Computer Science 2022-04-06 Razvan-Gabriel Cirstea , Bin Yang , Chenjuan Guo , Tung Kieu , Shirui Pan

We all depend on mobility, and vehicular transportation affects the daily lives of most of us. Thus, the ability to forecast the state of traffic in a road network is an important functionality and a challenging task. Traffic data is often…

Machine Learning · Computer Science 2022-09-07 Zezhi Shao , Zhao Zhang , Wei Wei , Fei Wang , Yongjun Xu , Xin Cao , Christian S. Jensen

Long-term traffic modelling is fundamental to transport planning, but existing approaches often trade off interpretability, transferability, and predictive accuracy. Classical travel demand models provide behavioural structure but rely on…

Machine Learning · Computer Science 2026-03-30 Yue Li , Shujuan Chen , Akihiro Shimoda , Ying Jin
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