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Identifying objects in given data is a task frequently encountered in many applications. Finding vehicles or persons in video data, tracking seismic waves in geophysical exploration data, or predicting a storm front movement from…

Numerical Analysis · Mathematics 2024-02-07 Florian Bossmann , Jianwei Ma , Wenze wu

Facing climate change, the already limited availability of drinking water will decrease in the future rendering drinking water an increasingly scarce resource. Considerable amounts of it are lost through leakages in water transportation and…

Machine Learning · Computer Science 2024-02-08 Valerie Vaquet , Fabian Hinder , Jonas Vaquet , Kathrin Lammers , Lars Quakernack , Barbara Hammer

Real-time, guaranteed safe trajectory planning is vital for navigation in unknown environments. However, real-time navigation algorithms typically sacrifice robustness for computation speed. Alternatively, provably safe trajectory planning…

Robotics · Computer Science 2021-03-16 Mo Chen , Sylvia L. Herbert , Haimin Hu , Ye Pu , Jaime F. Fisac , Somil Bansal , SooJean Han , Claire J. Tomlin

We develop a semi-analytic deterministic framework for charged-particle transport with continuous slowing-down in energy and angular scattering. Directed transport and energy advection are treated by method-of-characteristics integration,…

Numerical Analysis · Mathematics 2026-02-10 Ben S. Ashby , Alex Lukyanov , Tristan Pryer

In recent years, multi object tracking (MOT) problem has drawn attention to it and has been studied in various research areas. However, some of the challenging problems including time dependent cardinality, unordered measurement set, and…

Machine Learning · Computer Science 2019-09-17 Bahman Moraffah

Designing spacecraft trajectories remains challenging in the presence of stochastic effects such as maneuver execution errors and observation uncertainties. Although covariance control and belief-space planning provide useful tools for…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Masahiro Fujiwara , Naoya Ozaki

Overtaking is one of the most challenging tasks in driving, and the current solutions to autonomous overtaking are limited to simple and static scenarios. In this paper, we present a method for behaviour and trajectory planning for safe…

Robotics · Computer Science 2021-11-16 Jiyo Palatti , Andrei Aksjonov , Gokhan Alcan , Ville Kyrki

In the process of urban environment mapping, the sequential accumulations of dynamic objects will leave a large number of traces in the map. These traces will usually have bad influences on the localization accuracy and navigation…

Robotics · Computer Science 2024-06-25 Rongguang Wu , Chenglin Pang , Xuankang Wu , Zheng Fang

Trajectory generation for visually impaired scenarios requires smooth and temporally consistent state in structured, low-speed dynamic environments. However, traditional jerk-based heuristic trajectory sampling with independent segment…

Robotics · Computer Science 2026-02-26 Yuting Zeng , Manping Fan , You Zhou , Yongbin Yu , Zhiwen Zheng , Jingtao Zhang , Liyong Ren , Zhenglin Yang

Accurately predicting the dynamics of robotic systems is crucial for model-based control and reinforcement learning. The most common way to estimate dynamics is by fitting a one-step ahead prediction model and using it to recursively…

Machine Learning · Computer Science 2021-09-02 Nathan O. Lambert , Albert Wilcox , Howard Zhang , Kristofer S. J. Pister , Roberto Calandra

Experimental and theoretical studies are made of Brownian particles trapped in a periodic potential, which is very slightly tilted due to gravity. In the presence of fluctuations, these will trigger a measurable average drift along the…

Atomic Physics · Physics 2010-10-14 M. Zelan , H. Hagman , K. Karlsson , C. M. Dion , A. Kastberg

Storage tanks for hazardous liquids are common in industry and agriculture. During a pollution incident, liquid may drain from a storage tank through a small hole, crack, or pipe. After containing the leak, estimating the discharged volume…

Applications · Statistics 2026-05-29 Kyla D. Jones , Gbenga Fabusola , Alexander W. Dowling , Cory M. Simon

This paper proposes an online visual multi-object tracking algorithm using a top-down Bayesian formulation that seamlessly integrates state estimation, track management, clutter rejection, occlusion and mis-detection handling into a single…

Computer Vision and Pattern Recognition · Computer Science 2017-08-07 Du Yong Kim , Ba-Ngu Vo , Ba-Tuong Vo

Despite their deterministic nature, dynamical systems often exhibit seemingly random behaviour. Consequently, a dynamical system is usually represented by a probabilistic model of which the unknown parameters must be estimated using…

Dynamical Systems · Mathematics 2021-08-20 Kasun Fernando , Nan Zou

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

In studying randomized search heuristics, a frequent quantity of interest is the first time a (real-valued) stochastic process obtains (or passes) a certain value. The processes under investigation commonly show a bias towards this goal,…

Probability · Mathematics 2024-06-24 Timo Kötzing

An approach for the description of stochastic systems is derived. Some of the variables in the system are studied forward in time, others backward in time. The approach is based on a perturbation expansion in the strength of the coupling…

Statistical Mechanics · Physics 2021-08-04 Piero Olla

The tracking-by-detection paradigm is the mainstream in multi-object tracking, associating tracks to the predictions of an object detector. Although exhibiting uncertainty through a confidence score, these predictions do not capture the…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Edgardo Solano-Carrillo , Felix Sattler , Antje Alex , Alexander Klein , Bruno Pereira Costa , Angel Bueno Rodriguez , Jannis Stoppe

In this work, we propose an observation system based on the available data which solution is one-be-one mapping to the forward problem(with the unknown initial function) solution. It implies their solutions share the same linear structure…

Numerical Analysis · Mathematics 2026-04-27 Dakang Cen , Zhiyuan Li , Wenlong Zhang

Dynamic manipulation, such as robot tossing or throwing objects, has recently gained attention as a novel paradigm to speed up logistic operations. However, the focus has predominantly been on the object's landing location, irrespective of…

Robotics · Computer Science 2025-10-14 Yang Liu , Bruno Da Costa , Aude Billard