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We tackle safe trajectory planning under Gaussian mixture model (GMM) uncertainty. Specifically, we use a GMM to model the multimodal behaviors of obstacles' uncertain states. Then, we develop a mixed-integer conic approximation to the…

Robotics · Computer Science 2025-03-11 Kai Ren , Heejin Ahn , Maryam Kamgarpour

Effective understanding of the environment and accurate trajectory prediction of surrounding dynamic obstacles are critical for intelligent systems such as autonomous vehicles and wheeled mobile robotics navigating in complex scenarios to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jiachen Li , Hengbo Ma , Masayoshi Tomizuka

Collision prediction in a dynamic and unknown environment relies on knowledge of how the environment is changing. Many collision prediction methods rely on deterministic knowledge of how obstacles are moving in the environment. However,…

Robotics · Computer Science 2019-04-08 Andrew Patterson , Arun Lakshmanan , Naira Hovakimyan

This work addresses the problem of predicting the motion trajectories of dynamic objects in the environment. Recent advances in predicting motion patterns often rely on machine learning techniques to extrapolate motion patterns from…

Robotics · Computer Science 2021-07-12 Weiming Zhi , Lionel Ott , Fabio Ramos

The existing methods for trajectory prediction are difficult to describe trajectory of moving objects in complex and uncertain environment accurately. In order to solve this problem, this paper proposes an adaptive trajectory prediction…

Robotics · Computer Science 2022-12-14 Hu Jin

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

Developing safe automated vehicles that can be proactive, safe, and comfortable in mixed traffic requires improved planning methods that are risk-averse and that account for predictions of the motion of other road users. To consider these…

Optimization and Control · Mathematics 2022-09-16 Chris van der Ploeg , Robin Smit , Arjan Teerhuis , Emilia Silvas

We present a chance-constrained model predictive control (MPC) framework under Gaussian mixture model (GMM) uncertainty. Specifically, we consider the uncertainty that arises from predicting future behaviors of moving obstacles, which may…

Systems and Control · Electrical Eng. & Systems 2025-07-21 Kai Ren , Colin Chen , Hyeontae Sung , Heejin Ahn , Ian Mitchell , Maryam Kamgarpour

Path planning in dynamic environments is essential to high-risk applications such as unmanned aerial vehicles, self-driving cars, and autonomous underwater vehicles. In this paper, we generate collision-free trajectories for a robot within…

Robotics · Computer Science 2020-07-30 Sourav Dutta , Tuan Tran , Banafsheh Rekabdar , Chinwe Ekenna

We consider the problem of trajectory planning in an environment comprised of a set of obstacles with uncertain locations. While previous approaches model the uncertainties with a prescribed Gaussian distribution, we consider the realistic…

Systems and Control · Computer Science 2021-01-12 Vasileios Lefkopoulos , Maryam Kamgarpour

Motion behaviour is driven by several factors -- goals, presence and actions of neighbouring agents, social relations, physical and social norms, the environment with its variable characteristics, and further. Most factors are not directly…

Computer Vision and Pattern Recognition · Computer Science 2021-03-23 Sahib Julka , Vishal Sowrirajan , Joerg Schloetterer , Michael Granitzer

We consider the problem of forecasting motion from a single image, i.e., predicting how objects in the world are likely to move, without the ability to observe other parameters such as the object velocities or the forces applied to them. We…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Gabrijel Boduljak , Laurynas Karazija , Iro Laina , Christian Rupprecht , Andrea Vedaldi

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

This paper introduces a trajectory planning algorithm for search and coverage missions with an Unmanned Aerial Vehicle (UAV) based on an uncertainty map that represents prior knowledge of the target region, modeled by a Gaussian Mixture…

Robotics · Computer Science 2025-03-28 Hugo Matias , Daniel Silvestre

Tremendous efforts have been put forth on predicting pedestrian trajectory with generative models to accommodate uncertainty and multi-modality in human behaviors. An individual's inherent uncertainty, e.g., change of destination, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Yao Liu , Zesheng Ye , Rui Wang , Binghao Li , Quan Z. Sheng , Lina Yao

We present a novel learning-based trajectory generation algorithm for outdoor robot navigation. Our goal is to compute collision-free paths that also satisfy the environment-specific traversability constraints. Our approach is designed for…

We tackle the problem of trajectory planning in an environment comprised of a set of obstacles with uncertain time-varying locations. The uncertainties are modeled using widely accepted Gaussian distributions, resulting in a…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Vasileios Lefkopoulos , Maryam Kamgarpour

Coordination recognition and subtle pattern prediction of future trajectories play a significant role when modeling interactive behaviors of multiple agents. Due to the essential property of uncertainty in the future evolution,…

Robotics · Computer Science 2019-05-03 Jiachen Li , Hengbo Ma , Wei Zhan , Masayoshi Tomizuka

The ability to predict multiple possible future positions of the ego-vehicle given the surrounding context while also estimating their probabilities is key to safe autonomous driving. Most of the current state-of-the-art Deep Learning…

Computer Vision and Pattern Recognition · Computer Science 2020-10-05 Thomas Kurbiel , Akash Sachdeva , Kun Zhao , Markus Buehren

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Robotics · Computer Science 2021-06-11 Ashkan Jasour , Weiqiao Han , Brian Williams
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