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Accurately modeling time-continuous stochastic processes from irregular observations remains a significant challenge. In this paper, we leverage ideas from generative modeling of image data to push the boundary of time series generation.…

Numerical Analysis · Mathematics 2025-05-30 T. Jahn , J. Chemseddine , P. Hagemann , C. Wald , G. Steidl

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

Trajectory planning is challenging for autonomous cars since they operate in unpredictable environments with limited sensor horizons. To incorporate new information as it is sensed, planning is done in a loop, with the next plan being…

Systems and Control · Computer Science 2019-02-07 Sean Vaskov , Utkarsh Sharma , Shreyas Kousik , Matthew Johnson-Roberson , Ramanarayan Vasudevan

This paper presents an approach to trajectory-centric learning control based on contraction metrics and disturbance estimation for nonlinear systems subject to matched uncertainties. The approach uses deep neural networks to learn uncertain…

Systems and Control · Electrical Eng. & Systems 2024-07-25 Pan Zhao , Ziyao Guo , Yikun Cheng , Aditya Gahlawat , Hyungsoo Kang , Naira Hovakimyan

Increasing and massive volumes of trajectory data are being accumulated that may serve a variety of applications, such as mining popular routes or identifying ridesharing candidates. As storing and querying massive trajectory data is…

Databases · Computer Science 2023-12-14 Zheng Wang , Cheng Long , Gao Cong , Christian S. Jensen

Representing diverse and plausible future trajectories is critical for motion forecasting in autonomous driving. However, efficiently capturing these trajectories in a compact set remains challenging. This study introduces a novel approach…

Computer Vision and Pattern Recognition · Computer Science 2024-12-10 Abhishek Vivekanandan , J. Marius Zöllner

Motivated by the computational difficulties incurred by popular deep learning algorithms for the generative modeling of temporal densities, we propose a cheap alternative which requires minimal hyperparameter tuning and scales favorably to…

Machine Learning · Statistics 2023-10-13 Jonah Botvinick-Greenhouse , Yunan Yang , Romit Maulik

In many robotic tasks, such as autonomous drone racing, the goal is to travel through a set of waypoints as fast as possible. A key challenge for this task is planning the time-optimal trajectory, which is typically solved by assuming…

Robotics · Computer Science 2021-08-03 Yunlong Song , Mats Steinweg , Elia Kaufmann , Davide Scaramuzza

Trajectory data generation is an important domain that characterizes the generative process of mobility data. Traditional methods heavily rely on predefined heuristics and distributions and are weak in learning unknown mechanisms. Inspired…

Computer Vision and Pattern Recognition · Computer Science 2020-09-22 Liming Zhang , Liang Zhao , Dieter Pfoser

Energy efficiency and motion smoothness are essential in trajectory planning for high-degree-of-freedom robots to ensure optimal performance and reduce mechanical wear. This paper presents a novel framework integrating sinusoidal trajectory…

Robotics · Computer Science 2025-03-18 Sajjad Hussain , Md Saad , Almas Baimagambetov , Khizer Saeed

Trajectory data mining is crucial for smart city management. However, collecting large-scale trajectory datasets is challenging due to factors such as commercial conflicts and privacy regulations. Therefore, we urgently need trajectory…

Machine Learning · Computer Science 2025-02-04 Jingyuan Wang , Yujing Lin , Yudong Li

Recently, diffusion models have gained popularity and attention in trajectory optimization due to their capability of modeling multi-modal probability distributions. However, addressing nonlinear equality constraints, i.e, dynamic…

Robotics · Computer Science 2026-03-10 Jushan Chen , Santiago Paternain

It is essential in many applications to impose a scalable coordinated motion control on a large group of mobile robots, which is efficient in tasks requiring repetitive execution, such as environmental monitoring. In this paper, we design a…

Robotics · Computer Science 2021-04-12 Weijia Yao , Hector Garcia de Marina , Zhiyong Sun , Ming Cao

Motion planning for autonomous vehicles requires generating collision-free and dynamically feasible trajectories in complex environments under real-time constraints. While nonlinear optimal control formulations provide high-fidelity…

Robotics · Computer Science 2026-05-15 Matheus Wagner , Antônio Augusto Fröhlich

Recent efforts in the development of autonomous driving technology have induced great advancements in perception, planning and control systems. Model predictive control is one of the most popular advanced control methods, but its…

Systems and Control · Electrical Eng. & Systems 2024-10-17 Matheus Wagner , Julio E. Normey-Rico

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…

This paper presents the reachability analysis of curves in $\mathbb{R}^3$ with a prescribed curvature bound. Based on Pontryagin Maximum Principle, we leverage the existing knowledge on the structure of solutions to minimum-time problems,…

Optimization and Control · Mathematics 2025-03-27 Juho Bae , Ji Hoon Bai , Byung-Yoon Lee , Jun-Yong Lee , Chang-Hun Lee

This paper introduces a novel numerical approach to achieving smooth lane-change trajectories in autonomous driving scenarios. Our trajectory generation approach leverages particle swarm optimization (PSO) techniques, incorporating Neural…

Robotics · Computer Science 2024-02-05 Lin Song , David Isele , Naira Hovakimyan , Sangjae Bae

Trajectory prediction and planning are essential for autonomous vehicles to navigate safely and efficiently in dynamic environments. Traditional approaches often treat them separately, limiting the ability for interactive planning. While…

Robotics · Computer Science 2025-07-22 Anjian Li , Sangjae Bae , David Isele , Ryne Beeson , Faizan M. Tariq

Constrained generative modeling is fundamental to applications such as robotic control and autonomous driving, where models must respect physical laws and safety-critical constraints. In real-world settings, these constraints rarely take…

Machine Learning · Computer Science 2026-03-10 Xiaoxuan Liang , Saeid Naderiparizi , Yunpeng Liu , Berend Zwartsenberg , Frank Wood