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Clustering algorithms fundamentally group data points by characteristics to identify patterns. Over the past two decades, researchers have extended these methods to analyze trajectories of humans, animals, and vehicles, studying their…

Machine Learning · Computer Science 2025-12-17 Atieh Rahmani , Mansoor Davoodi , Justin M. Calabrese

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

Robotics · Computer Science 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

The accelerated deployment of service robots have spawned a number of algorithm variations to better handle real-world conditions. Many local trajectory planning techniques have been deployed on practical robot systems successfully. While…

Robotics · Computer Science 2023-06-01 Steve Macenski , Shrijit Singh , Francisco Martin , Jonatan Gines

Trajectory classification tasks became more complex as large volumes of mobility data are being generated every day and enriched with new sources of information, such as social networks and IoT sensors. Fast classification algorithms are…

Machine Learning · Computer Science 2021-02-10 Tarlis Portela , Jonata Tyska , Vania Bogorny

In this paper, we propose a reinforcement learning-based algorithm for trajectory optimization for constrained dynamical systems. This problem is motivated by the fact that for most robotic systems, the dynamics may not always be known.…

Machine Learning · Statistics 2020-03-05 Kei Ota , Devesh K. Jha , Tomoaki Oiki , Mamoru Miura , Takashi Nammoto , Daniel Nikovski , Toshisada Mariyama

Trajectory optimization methods have achieved an exceptional level of performance on real-world robots in recent years. These methods heavily rely on accurate analytical models of the dynamics, yet some aspects of the physical world can…

Performing trajectory design for humanoid robots with high degrees of freedom is computationally challenging. The trajectory design process also often involves carefully selecting various hyperparameters and requires a good initial guess…

Robotics · Computer Science 2024-12-18 Bohao Zhang , Ram Vasudevan

Real-world trajectories are often sparse with low-sampling rates (i.e., long intervals between consecutive GPS points) and misaligned with road networks, yet many applications demand high-quality data for optimal performance. To improve…

Databases · Computer Science 2025-08-15 Wei Tian , Jieming Shi , Man Lung Yiu

Joint space trajectory optimization under end-effector task constraints leads to a challenging non-convex problem. Thus, a real-time adaptation of prior computed trajectories to perturbation in task constraints often becomes intractable.…

Autonomous high-speed navigation through large, complex environments requires real-time generation of agile trajectories that are dynamically feasible, collision-free, and satisfy state or actuator constraints. Modern trajectory planning…

Robotics · Computer Science 2025-12-16 Helene J. Levy , Brett T. Lopez

Differential drive robots are widely used in various scenarios thanks to their straightforward principle, from household service robots to disaster response field robots. There are several types of driving mechanisms for real-world…

Robotics · Computer Science 2025-05-30 Mengke Zhang , Nanhe Chen , Hu Wang , Jianxiong Qiu , Zhichao Han , Qiuyu Ren , Chao Xu , Fei Gao , Yanjun Cao

In this paper, we study spline trajectory generation via the solution of two optimisation problems: (i) a quadratic program (QP) with linear equality constraints and (ii) a nonlinear and nonconvex optimisation program. We propose an…

Systems and Control · Electrical Eng. & Systems 2021-05-06 Declan Burke , Airlie Chapman , Iman Shames

Autonomous terrain traversal of articulated tracked robots can reduce operator cognitive load to enhance task efficiency and facilitate extensive deployment. We present a novel hybrid trajectory optimization method aimed at generating…

Robotics · Computer Science 2023-11-27 Zhengzhe Xu , Yanbo Chen , Zhuozhu Jian , Junbo Tan , Xueqian Wang , Bin Liang

With recent advances in sensing and tracking technology, trajectory data is becoming increasingly pervasive and analysis of trajectory data is becoming exceedingly important. A fundamental problem in analyzing trajectory data is that of…

Computational Geometry · Computer Science 2013-03-08 Swaminathan Sankararaman , Pankaj K. Agarwal , Thomas Mølhave , Arnold P. Boedihardjo

This paper presents a new trajectory replanner for grasping irregular objects. Unlike conventional grasping tasks where the object's geometry is assumed simple, we aim to achieve a "dynamic grasp" of the irregular objects, which requires…

Robotics · Computer Science 2025-01-31 Minh Nhat Vu , Florian Grander , Anh Nguyen

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

Robotics · Computer Science 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

Current methods for trajectory prediction operate in supervised manners, and therefore require vast quantities of corresponding ground truth data for training. In this paper, we present a novel, label-free algorithm, AutoTrajectory, for…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 Yuexin Ma , Xinge ZHU , Xinjing Cheng , Ruigang Yang , Jiming Liu , Dinesh Manocha

Object detection is a fundamental task for robots to operate in unstructured environments. Today, there are several deep learning algorithms that solve this task with remarkable performance. Unfortunately, training such systems requires…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Federico Ceola , Elisa Maiettini , Giulia Pasquale , Lorenzo Rosasco , Lorenzo Natale

We present a fast trajectory optimization algorithm for the soft capture of uncooperative tumbling space objects. Our algorithm generates safe, dynamically feasible, and minimum-fuel trajectories for a six-degree-of-freedom servicing…

Robotics · Computer Science 2024-05-03 Ibrahima Sory Sow , Geordan Gutow , Howie Choset , Zachary Manchester