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Continuous-depth neural networks, such as the Neural Ordinary Differential Equations (ODEs), have aroused a great deal of interest from the communities of machine learning and data science in recent years, which bridge the connection…

Machine Learning · Computer Science 2022-01-05 Qunxi Zhu , Yifei Shen , Dongsheng Li , Wei Lin

Forecasting the trajectory of pedestrians in shared urban traffic environments is still considered one of the challenging problems facing the development of autonomous vehicles (AVs). In the literature, this problem is often tackled using…

Computer Vision and Pattern Recognition · Computer Science 2021-08-10 Khaled Saleh

Traffic flow forecasting is a crucial first step in intelligent and proactive traffic management. Traffic flow parameters are volatile and uncertain, making traffic flow forecasting a difficult task if the appropriate forecasting model is…

Machine Learning · Computer Science 2024-06-04 Jewel Rana Palit , Osama A Osman

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

Statistical Mechanics · Physics 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

Channel prediction is critical to address the channel aging issue in mobile scenarios. Existing channel prediction techniques are mainly designed for discrete channel prediction, which can only predict the future channel in a fixed time…

Information Theory · Computer Science 2023-08-01 Mingyao Cui , Hao Jiang , Yuhao Chen , Yang Du , Linglong Dai

Accurate and reliable prediction of traffic measurements plays a crucial role in the development of modern intelligent transportation systems. Due to more complex road geometries and the presence of signal control, arterial traffic…

Machine Learning · Computer Science 2024-10-30 Victor Chan , Qijian Gan , Alexandre Bayen

A novel way of using neural networks to learn the dynamics of time delay systems from sequential data is proposed. A neural network with trainable delays is used to approximate the right hand side of a delay differential equation. We relate…

Machine Learning · Computer Science 2022-08-29 Xunbi A. Ji , Gabor Orosz

Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PDEs is often a challenging task. Inspired by the traditional…

Numerical Analysis · Mathematics 2022-01-11 Yihao Hu , Tong Zhao , Shixin Xu , Zhiliang Xu , Lizhen Lin

Anticipating the future actions of a human is a widely studied problem in robotics that requires spatio-temporal reasoning. In this work we propose a deep learning approach for anticipation in sensory-rich robotics applications. We…

Computer Vision and Pattern Recognition · Computer Science 2015-09-17 Ashesh Jain , Avi Singh , Hema S Koppula , Shane Soh , Ashutosh Saxena

The fast and accurate prediction of unsteady flow becomes a serious challenge in fluid dynamics, due to the high-dimensional and nonlinear characteristics. A novel hybrid deep neural network (DNN) architecture was designed to capture the…

Fluid Dynamics · Physics 2020-01-08 Renkun Han , Yixing Wang , Yang Zhang , Gang Chen

Traffic speed prediction is a critically important component of intelligent transportation systems (ITS). Recently, with the rapid development of deep learning and transportation data science, a growing body of new traffic speed prediction…

Machine Learning · Computer Science 2019-03-06 Ruimin Ke , Wan Li , Zhiyong Cui , Yinhai Wang

A new method to solve computationally challenging (random) parametric obstacle problems is developed and analyzed, where the parameters can influence the related partial differential equation (PDE) and determine the position and surface…

Machine Learning · Computer Science 2025-04-08 Martin Eigel , Cosmas Heiß , Janina E. Schütte

Climate and weather prediction traditionally relies on complex numerical simulations of atmospheric physics. Deep learning approaches, such as transformers, have recently challenged the simulation paradigm with complex network forecasts.…

Artificial Intelligence · Computer Science 2024-04-17 Yogesh Verma , Markus Heinonen , Vikas Garg

This paper leverages macroscopic models and multi-source spatiotemporal data collected from automatic traffic counters and probe vehicles to accurately estimate traffic flow and travel time in links where these measurements are unavailable.…

Machine Learning · Computer Science 2024-01-31 Pablo Guarda , Sean Qian

In short-term traffic forecasting, the goal is to accurately predict future values of a traffic parameter of interest occurring shortly after the prediction is queried. The activity reported in this long-standing research field has been…

Neural and Evolutionary Computing · Computer Science 2020-04-20 Javier Del Ser , Ibai Lana , Eric L. Manibardo , Izaskun Oregi , Eneko Osaba , Jesus L. Lobo , Miren Nekane Bilbao , Eleni I. Vlahogianni

Traffic prediction is one of the key elements to ensure the safety and convenience of citizens. Existing traffic prediction models primarily focus on deep learning architectures to capture spatial and temporal correlation. They often…

Machine Learning · Computer Science 2023-08-22 Sumin Han , Youngjun Park , Minji Lee , Jisun An , Dongman Lee

Work zone is one of the major causes of non-recurrent traffic congestion and road incidents. Despite the significance of its impact, studies on predicting the traffic impact of work zones remain scarce. In this paper, we propose a data…

Machine Learning · Computer Science 2024-06-03 Qinhua Jiang , Xishun Liao , Yaofa Gong , Jiaqi Ma

Deep learning methods are being increasingly used for urban traffic prediction where spatiotemporal traffic data is aggregated into sequentially organized matrices that are then fed into convolution-based residual neural networks. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Wei Zeng , Chengqiao Lin , Juncong Lin , Jincheng Jiang , Jiazhi Xia , Cagatay Turkay , Wei Chen

Graph Neural Networks (GNNs) and differential equations (DEs) are two rapidly advancing areas of research that have shown remarkable synergy in recent years. GNNs have emerged as powerful tools for learning on graph-structured data, while…

Machine Learning · Computer Science 2025-06-30 Zewen Liu , Xiaoda Wang , Bohan Wang , Zijie Huang , Carl Yang , Wei Jin

In Intelligent Transportation System, real-time systems that monitor and analyze road users become increasingly critical as we march toward the smart city era. Vision-based frameworks for Object Detection, Multiple Object Tracking, and…

Computer Vision and Pattern Recognition · Computer Science 2019-06-02 Xiaohui Huang , Pan He , Anand Rangarajan , Sanjay Ranka