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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)…

机器学习 · 计算机科学 2024-08-27 Jianxiang Zhou , Erdong Liu , Wei Chen , Siru Zhong , Yuxuan Liang

Trajectory planning is crucial for the safe driving of autonomous vehicles in highway traffic flow. Currently, some advanced trajectory planning methods utilize spatio-temporal voxels to construct feasible regions and then convert…

机器人学 · 计算机科学 2023-10-05 Zhiqiang Jian , Songyi Zhang , Lingfeng Sun , Wei Zhan , Masayoshi Tomizuka , Nanning Zheng

Trajectory estimation involves determining the trajectory of a mobile robot by combining prior knowledge about its dynamic model with noisy observations of its state obtained using sensors. The accuracy of such a procedure is dictated by…

机器人学 · 计算机科学 2026-02-20 Abhishek Goudar , Angela P. Schoellig

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…

机器学习 · 计算机科学 2023-08-22 Sumin Han , Youngjun Park , Minji Lee , Jisun An , Dongman Lee

Traffic waves, the spatiotemporal propagation of congestion, are a key feature of traffic flow. As Adaptive Cruise Control (ACC) systems gain widespread adoption and show promise for improving both efficiency and safety, understanding how…

偏微分方程分析 · 数学 2026-02-03 Zihao Li , Quyuan Lin , Fan Pu , Soyoung Ahn , Yunlong Zhang , Jiwan Jiang , Yang Zhou

The presence of (partially) automated vehicles on the roads presents an opportunity to compensate the unstable behaviour of conventional vehicles. Vehicles subject to perturbations should (i) recover their equilibrium speed, (ii) react not…

系统与控制 · 计算机科学 2018-03-16 Julien Monteil , Melanie Bouroche , Douglas J. Leith

When governed by underlying low-dimensional dynamics, the interdependence of simultaneously recorded population of neurons can be explained by a small number of shared factors, or a low-dimensional trajectory. Recovering these latent…

机器学习 · 统计学 2017-04-20 Yuan Zhao , Il Memming Park

We propose a quantitative approach for calibrating and validating key features of traffic instabilities based on speed time series obtained from aggregated data of a series of neighboring stationary detectors. We apply the proposed criteria…

物理与社会 · 物理学 2010-08-11 Martin Treiber , Arne Kesting

Current Deep Learning methods for environment segmentation and velocity estimation rely on Convolutional Recurrent Neural Networks to exploit spatio-temporal relationships within obtained sensor data. These approaches derive scene dynamics…

计算机视觉与模式识别 · 计算机科学 2023-06-21 Marco Braun , Moritz Luszek , Mirko Meuter , Dominic Spata , Kevin Kollek , Anton Kummert

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

最优化与控制 · 数学 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

In the setting of a recently developed cellular stochastic traffic flow model, it has shown that the joint per-cell vehicle densities, as a function of time, can be accurately approximated by a Gaussian process, which has the attractive…

最优化与控制 · 数学 2020-07-16 Michel Mandjes , Jaap Storm

Modeling statistical properties of motion of a Lagrangian particle advected by a high-Reynolds-number flow is of much practical interest and complement traditional studies of turbulence made in Eulerian framework. The strong and nonlocal…

统计力学 · 物理学 2007-05-23 A. K. Aringazin , M. I. Mazhitov

Accurate traffic flow prediction heavily relies on the spatio-temporal correlation of traffic flow data. Most current studies separately capture correlations in spatial and temporal dimensions, making it difficult to capture complex…

机器学习 · 计算机科学 2025-01-03 Ben-Ao Dai , Nengchao Lyu , Yongchao Miao

The aim of this paper is to derive and analyze a variational model for the joint estimation of motion and reconstruction of image sequences, which is based on a time-continuous Eulerian motion model. The model can be set up in terms of the…

数值分析 · 数学 2016-07-13 Martin Burger , Hendrik Dirks , Carola-Bibiane Schönlieb

We develop a stochastic model for Lagrangian velocity as it is observed in experimental and numerical fully developed turbulent flows. We define it as the unique statistically stationary solution of a causal dynamics, given by a stochastic…

Vehicle trajectory prediction is crucial for advancing autonomous driving and advanced driver assistance systems (ADAS). Although deep learning-based approaches - especially those utilizing transformer-based and generative models - have…

计算机视觉与模式识别 · 计算机科学 2026-01-19 Junwei You , Rui Gan , Weizhe Tang , Zilin Huang , Jiaxi Liu , Zhuoyu Jiang , Haotian Shi , Keshu Wu , Keke Long , Sicheng Fu , Sikai Chen , Bin Ran

Classifying time series data using neural networks is a challenging problem when the length of the data varies. Video object trajectories, which are key to many of the visual surveillance applications, are often found to be of varying…

计算机视觉与模式识别 · 计算机科学 2018-12-19 Santhosh Kelathodi Kumaran , Debi Prosad Dogra , Partha Pratim Roy , Adway Mitra

Considering high speed following on expressway or highway, an improved car-following model is developed in this paper by introducing variable safety headway distance. Stability analysis of the new model is carried out using the control…

数值分析 · 计算机科学 2015-06-22 Yuhan Jia , Jianping Wu , Yiman Du

The Euler and Navier-Stokes fluid mechanics equations are derived using a modified statistical mechanical approach using theory taken from the Chapman-Enskog perturbation analysis used to support the lattice Boltzmann method. Additional…

流体动力学 · 物理学 2021-07-06 Charles Cook

High performance tracking control can only be achieved if a good model of the dynamics is available. However, such a model is often difficult to obtain from first order physics only. In this paper, we develop a data-driven control law that…

系统与控制 · 计算机科学 2018-11-20 Thomas Beckers , Jonas Umlauft , Dana Kulić , Sandra Hirche
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