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The analysis of excursion sets in imaging data is essential to a wide range of scientific disciplines such as neuroimaging, climatology and cosmology. Despite growing literature, there is little published concerning the comparison of…

Methodology · Statistics 2022-01-11 Thomas Maullin-Sapey , Armin Schwartzman , Thomas E. Nichols

An unmanned autonomous vehicle (UAV) is sent on a mission to explore and reconstruct an unknown environment from a series of measurements collected by Bayesian optimization. The success of the mission is judged by the UAV's ability to…

Machine Learning · Statistics 2021-04-09 Antoine Blanchard , Themistoklis Sapsis

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

Survey sampling plays an important role in the efficient allocation and management of resources. The essence of survey sampling lies in acquiring a sample of data points from a population and subsequently using this sample to estimate the…

Methodology · Statistics 2024-01-29 Jonne Pohjankukka , Sakari Tuominen , Jukka Heikkonen

Accurately estimating latent velocity vector fields of atmospheric winds is crucial for understanding weather phenomena. Direct measurement of atmospheric winds is costly, especially in the upper atmosphere, so researchers attempt to…

Applications · Statistics 2025-06-12 Youssef Fahmy , Maria Laura Battagliola , Joseph Guinness

In this paper we combine two powerful computational techniques, well-tempered metadynamics and time lagged independent component analysis. The aim is to develop a new tool for studying rare events and exploring complex free energy…

Statistical Mechanics · Physics 2017-12-08 James McCarty , Michele Parrinello

In this paper, we use the concept of excursion sets for the extrapolation of stationary random fields. Doing so, we define excursion sets for the field and its linear predictor, and then minimize the expected volume of the symmetric…

Probability · Mathematics 2021-10-15 Abhinav Das , Vitalii Makogin , Evgeny Spodarev

Autonomous exploration is a new technology in the field of robotics that has found widespread application due to its objective to help robots independently localize, scan maps, and navigate any terrain without human control. Up to present,…

Most of the existing robotic exploration schemes use occupancy grid representations and geometric targets known as frontiers. The occupancy grid representation relies on the assumption of independence between grid cells and ignores…

Robotics · Computer Science 2019-05-22 Maani Ghaffari Jadidi , Jaime Valls Miro , Gamini Dissanayake

We propose a generative model for the spatio-temporal distribution of high dimensional categorical observations. These are commonly produced by robots equipped with an imaging sensor such as a camera, paired with an image classifier,…

Machine Learning · Statistics 2020-03-30 John E. San Soucie , Heidi M. Sosik , Yogesh Girdhar

Unmanned Surface Vehicles (USVs) in the ocean environment, considering various spatiotemporal factors such as ocean currents and other energy consumption factors. The paper uses Gaussian Process Motion Planning (GPMP2), a Bayesian…

Robotics · Computer Science 2024-02-13 Behzad Akbari , Ya-Jun Pan , Shiwei Liu , Tianye Wang

Autonomous ocean-exploring vehicles have begun to take advantage of onboard sensor measurements of water properties such as salinity and temperature to locate oceanic features in real time. Such targeted sampling strategies enable more…

Fluid Dynamics · Physics 2024-03-19 Peter Gunnarson , John O. Dabiri

Microplastics contamination is one of the most rapidly growing research topics. However, monitoring microplastics contamination in the environment presents both logistical and statistical challenges, particularly when constrained resources…

We present a new method of modelling numerical systems where there are two distinct output solution classes, for example tipping points or bifurcations. Gaussian process emulation is a useful tool in understanding these complex systems and…

Methodology · Statistics 2022-12-08 Louise Kimpton , Peter Challenor , Daniel Williamson

This paper presents a mission system and the therein implemented algorithms for path planning in a time-varying environment based on graph methods. The basic task of the introduced path planning algorithms is to find a time-optimal path…

Robotics · Computer Science 2020-08-06 Mike Eichhorn

Research on coastal regions traditionally involves methods like manual sampling, monitoring buoys, and remote sensing, but these methods face challenges in spatially and temporally diverse regions of interest. Autonomous surface vehicles…

Robotics · Computer Science 2024-05-29 Mingi Jeong

Exploration is a fundamental problem in robotics. While sampling-based planners have shown high performance, they are oftentimes compute intensive and can exhibit high variance. To this end, we propose to directly learn the underlying…

Robotics · Computer Science 2022-07-15 Lukas Schmid , Chao Ni , Yuliang Zhong , Roland Siegwart , Olov Andersson

Unmanned surface vehicles (USVs) are of increasing importance to a growing number of sectors in the maritime industry, including offshore exploration, marine transportation and defence operations. A major factor in the growth in use and…

Robotics · Computer Science 2022-08-25 Jiawei Meng , Ankita Humne , Richard Bucknall , Brendan Englot , Yuanchang Liu

We propose a framework for active mapping and exploration that leverages Gaussian splatting for constructing dense maps. Further, we develop a GPU-accelerated motion planning algorithm that can exploit the Gaussian map for real-time…

Robotics · Computer Science 2025-10-07 Yuezhan Tao , Dexter Ong , Varun Murali , Igor Spasojevic , Pratik Chaudhari , Vijay Kumar

Collaborative navigation of heterogeneous robots in unknown environments poses significant challenges due to sensing, communication, and computational limitations. In this work, a lead robot navigates toward a target while a mobile sensor…

Robotics · Computer Science 2026-05-27 Evangelos Psomiadis , Dipankar Maity , Panagiotis Tsiotras