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We consider initial value problems of nonlinear dynamical systems, which include physical parameters. A quantity of interest depending on the solution is observed. A discretisation yields the trajectories of the quantity of interest in many…

Machine Learning · Computer Science 2021-01-13 Roland Pulch , Maha Youssef

This work is motivated by a real work problem: objectivization. It consists in explaining the subjective drivability using physical criteria coming from signals measured during experiments. We suggest an approach for the discriminant…

Statistics Theory · Mathematics 2010-11-03 Jean-Michel Poggi , Christine Tuleau

Activities such as the movement of passengers and goods, the transfer of physical or digital assets, web navigation and even successive passes in football, result in timestamped paths through a physical or virtual network. The need to…

Physics and Society · Physics 2024-07-30 Kevin Teo , Naomi Arnold , Andrew Hone , István Zoltán Kiss

Automated vehicles are envisioned to navigate safely in complex mixed-traffic scenarios alongside human-driven vehicles. To promise a high degree of safety, accurately predicting the maneuvers of surrounding vehicles and their future…

Machine Learning · Computer Science 2023-12-20 Shuli Wang , Kun Gao , Lanfang Zhang , Yang Liu , Lei Chen

Driving on the limits of vehicle dynamics requires predictive planning of future vehicle states. In this work, a search-based motion planning is used to generate suitable reference trajectories of dynamic vehicle states with the goal to…

Robotics · Computer Science 2019-07-19 Zlatan Ajanovic , Enrico Regolin , Georg Stettinger , Martin Horn , Antonella Ferrara

Predicting multiple trajectories for road users is important for automated driving systems: ego-vehicle motion planning indeed requires a clear view of the possible motions of the surrounding agents. However, the generative models used for…

Machine Learning · Computer Science 2023-02-08 Laura Calem , Hedi Ben-Younes , Patrick Pérez , Nicolas Thome

Vehicle trajectory prediction has increasingly relied on data-driven solutions, but their ability to scale to different data domains and the impact of larger dataset sizes on their generalization remain under-explored. While these questions…

Computer Vision and Pattern Recognition · Computer Science 2024-08-08 Lan Feng , Mohammadhossein Bahari , Kaouther Messaoud Ben Amor , Éloi Zablocki , Matthieu Cord , Alexandre Alahi

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

Optimization and Control · Mathematics 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

Understanding multi-vehicle interactive behaviors with temporal sequential observations is crucial for autonomous vehicles to make appropriate decisions in an uncertain traffic environment. On-demand similarity measures are significant for…

Machine Learning · Computer Science 2020-03-13 Qin Lin , Wenshuo Wang , Yihuan Zhang , John Dolan

Inference and prediction of routes have become of interest over the past decade owing to a dramatic increase in package delivery and ride-sharing services. Given the underlying combinatorial structure and the incorporation of probabilities,…

Logic in Computer Science · Computer Science 2023-06-21 Suwei Yang , Victor C. Liang , Kuldeep S. Meel

Predicting the future motion of vehicles has been studied using various techniques, including stochastic policies, generative models, and regression. Recent work has shown that classification over a trajectory set, which approximates…

Machine Learning · Computer Science 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

In unstructured environments, obstacles are diverse and lack lane markings, making trajectory planning for intelligent vehicles a challenging task. Traditional trajectory planning methods typically involve multiple stages, including path…

Robotics · Computer Science 2024-06-14 Sumin Zhang , Kuo Li , Rui He , Zhiwei Meng , Yupeng Chang , Xiaosong Jin , Ri Bai

We survey recent advances in algorithms for route planning in transportation networks. For road networks, we show that one can compute driving directions in milliseconds or less even at continental scale. A variety of techniques provide…

Data Structures and Algorithms · Computer Science 2015-04-21 Hannah Bast , Daniel Delling , Andrew Goldberg , Matthias Müller-Hannemann , Thomas Pajor , Peter Sanders , Dorothea Wagner , Renato F. Werneck

The ability to predict the future movements of other vehicles is a subconscious and effortless skill for humans and key to safe autonomous driving. Therefore, trajectory prediction for autonomous cars has gained a lot of attention in recent…

Robotics · Computer Science 2021-09-16 Benedikt Mersch , Thomas Höllen , Kun Zhao , Cyrill Stachniss , Ribana Roscher

Trajectory datasets of road users have become more important in the last years for safety validation of highly automated vehicles. Several naturalistic trajectory datasets with each more than 10.000 tracks were released and others will…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Christoph Glasmacher , Robert Krajewski , Lutz Eckstein

Despite a tremendous amount of work in the literature and in the commercial sectors, current approaches to multi-modal trip planning still fail to consistently generate plans that users deem optimal in practice. We believe that this is due…

Artificial Intelligence · Computer Science 2019-09-26 Xudong Liu , Christian Fritz , Matthew Klenk

Predicting the future trajectories of on-road vehicles is critical for autonomous driving. In this paper, we introduce a novel prediction framework called PRIME, which stands for Prediction with Model-based Planning. Unlike recent…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Haoran Song , Di Luan , Wenchao Ding , Michael Yu Wang , Qifeng Chen

In order to improve offline map matching accuracy of low-sampling-rate GPS, a map matching algorithm based on conditional random fields (CRF) and route preference mining is proposed. In this algorithm, road offset distance and the…

Networking and Internet Architecture · Computer Science 2015-10-07 Xu Ming , Du Yi-man , Wu Jian-ping , Zhou Yang

While supervised learning is widely used for perception modules in conventional autonomous driving solutions, scalability is hindered by the huge amount of data labeling needed. In contrast, while end-to-end architectures do not require…

Computer Vision and Pattern Recognition · Computer Science 2021-03-31 Elmira Amirloo , Mohsen Rohani , Ershad Banijamali , Jun Luo , Pascal Poupart

An active area of research is to increase the safety of self-driving vehicles. Although safety cannot be guarenteed completely, the capability of a vehicle to predict the future trajectories of its surrounding vehicles could help ensure…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Shayan Jawed , Eya Boumaiza , Josif Grabocka , Lars Schmidt-Thieme
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