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Continuous-time trajectory estimation is an attractive alternative to discrete-time batch estimation due to the ability to incorporate high-frequency measurements from asynchronous sensors while keeping the number of optimization parameters…

Robotics · Computer Science 2024-02-02 Jacob Johnson , Joshua Mangelson , Timothy Barfoot , Randal Beard

We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

As autonomous systems increasingly rely on onboard sensing for localization and perception, the parallel tasks of motion planning and state estimation become more strongly coupled. This coupling is well-captured by augmenting the planning…

Robotics · Computer Science 2020-09-14 Kristoffer M. Frey , Ted J. Steiner , Jonathan P. How

Spatio-temporal trajectory analytics is at the core of smart mobility solutions, which offers unprecedented information for diversified applications such as urban planning, infrastructure development, and vehicular networks. Trajectory…

Data Structures and Algorithms · Computer Science 2023-03-20 Danlei Hu , Lu Chen , Hanxi Fang , Ziquan Fang , Tianyi Li , Yunjun Gao

In this paper, we propose a highly accurate continuous-time trajectory estimation framework dedicated to SLAM (Simultaneous Localization and Mapping) applications, which enables fuse high-frequency and asynchronous sensor data effectively.…

Robotics · Computer Science 2021-09-13 Jiajun Lv , Kewei Hu , Jinhong Xu , Yong Liu , Xiushui Ma , Xingxing Zuo

In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way. The main use of the metric is to compare estimates of trajectories from different…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

Trajectory optimization under uncertainty underpins a wide range of applications in robotics. However, existing methods are limited in terms of reasoning about sources of epistemic and aleatoric uncertainty, space and time correlations,…

Robotics · Computer Science 2023-09-28 Thomas Lew , Riccardo Bonalli , Marco Pavone

This paper concerns the verification of continuous-time polynomial spline trajectories against linear temporal logic specifications (LTL without 'next'). Each atomic proposition is assumed to represent a state space region described by a…

Logic in Computer Science · Computer Science 2022-01-24 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

Robotic practitioners generally approach the vision-based SLAM problem through discrete-time formulations. This has the advantage of a consolidated theory and very good understanding of success and failure cases. However, discrete-time SLAM…

Robotics · Computer Science 2022-02-21 Giovanni Cioffi , Titus Cieslewski , Davide Scaramuzza

We present a novel Simultaneous Localization and Mapping (SLAM) method that employs Gaussian Process (GP) based landmark (object) representations. Instead of conventional grid maps or point cloud registration, we model the environment on a…

Robotics · Computer Science 2025-08-25 Ali Emre Balcı , Erhan Ege Keyvan , Emre Özkan

We study landmark-based SLAM with unknown data association: our robot navigates in a completely unknown environment and has to simultaneously reason over its own trajectory, the positions of an unknown number of landmarks in the…

Robotics · Computer Science 2023-05-05 Yihao Zhang , Odin A. Severinsen , John J. Leonard , Luca Carlone , Kasra Khosoussi

This paper proposes a metric for sets of trajectories to evaluate multi-object tracking algorithms that includes time-weighted costs for localisation errors of properly detected targets, for false targets, missed targets and track switches.…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

In this paper, we study the problem of estimation and learning under temporal distribution shift. Consider an observation sequence of length $n$, which is a noisy realization of a time-varying groundtruth sequence. Our focus is to develop…

Machine Learning · Computer Science 2025-05-22 Dheeraj Baby , Yifei Tang , Hieu Duy Nguyen , Yu-Xiang Wang , Rohit Pyati

This paper considers robot motion planning under temporal logic constraints in probabilistic maps obtained by semantic simultaneous localization and mapping (SLAM). The uncertainty in a map distribution presents a great challenge for…

Robotics · Computer Science 2016-11-17 Jie Fu , Nikolay Atanasov , Ufuk Topcu , George J. Pappas

Although recent tool-augmented benchmarks involve complex requests, evaluation remains limited to answer matching, neglecting critical trajectory aspects like efficiency, hallucination, and adaptivity. The most straightforward method for…

Artificial Intelligence · Computer Science 2026-05-26 Wonjoong Kim , Sangwu Park , Yeonjun In , Sein Kim , Dongha Lee , Chanyoung Park

This paper proposes a novel active Simultaneous Localization and Mapping (SLAM) method with continuous trajectory optimization over a stochastic robot dynamics model. The problem is formalized as a stochastic optimal control over the…

Robotics · Computer Science 2021-10-15 Shumon Koga , Arash Asgharivaskasi , Nikolay Atanasov

We present a real-time semantic mapping approach for mobile vision systems with a 2D to 3D object detection pipeline and rapid data association for generated landmarks. Besides the semantic map enrichment the associated detections are…

Robotics · Computer Science 2022-03-25 Thorsten Hempel , Ayoub Al-Hamadi

Quantile regression has demonstrated promising utility in longitudinal data analysis. Existing work is primarily focused on modeling cross-sectional outcomes, while outcome trajectories often carry more substantive information in practice.…

Methodology · Statistics 2018-06-19 Huijuan Ma , Limin Peng , Haoda Fu

Data assimilation, in its most comprehensive form, addresses the Bayesian inverse problem of identifying plausible state trajectories that explain noisy or incomplete observations of stochastic dynamical systems. Various approaches have…

Machine Learning · Computer Science 2023-11-01 François Rozet , Gilles Louppe

Simultaneous localization and mapping (SLAM) is a foundational state estimation problem in robotics in which a robot accurately constructs a map of its environment while also localizing itself within this construction. We study the active…

Robotics · Computer Science 2026-04-24 Ilir Gusija , Fady Alajaji , Serdar Yüksel
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