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Cooperative online scalar field mapping is an important task for multi-robot systems. Gaussian process regression is widely used to construct a map that represents spatial information with confidence intervals. However, it is difficult to…

Robotics · Computer Science 2024-01-24 Tianyi Ding , Ronghao Zheng , Senlin Zhang , Meiqin Liu

We introduce a novel formulation of motion planning, for continuous-time trajectories, as probabilistic inference. We first show how smooth continuous-time trajectories can be represented by a small number of states using sparse Gaussian…

Robotics · Computer Science 2018-11-26 Mustafa Mukadam , Jing Dong , Xinyan Yan , Frank Dellaert , Byron Boots

We introduce a scalable approach to Gaussian process inference that combines spatio-temporal filtering with natural gradient variational inference, resulting in a non-conjugate GP method for multivariate data that scales linearly with…

Machine Learning · Computer Science 2021-11-03 Oliver Hamelijnck , William J. Wilkinson , Niki A. Loppi , Arno Solin , Theodoros Damoulas

Adaptive Informative Path Planning (AIPP) problems model an agent tasked with obtaining information subject to resource constraints in unknown, partially observable environments. Existing work on AIPP has focused on representing…

Artificial Intelligence · Computer Science 2020-03-24 Shushman Choudhury , Nate Gruver , Mykel J. Kochenderfer

Gaussian Processes (GPs) are highly expressive, probabilistic models. A major limitation is their computational complexity. Naively, exact GP inference requires $\mathcal{O}(N^3)$ computations with $N$ denoting the number of modeled points.…

Machine Learning · Computer Science 2022-06-23 Gordian Edenhofer , Reimar H. Leike , Philipp Frank , Torsten A. Enßlin

Fingerprint-based indoor localization methods are promising due to the high availability of deployed access points and compatibility with commercial-off-the-shelf user devices. However, to train regression models for localization, an…

Robotics · Computer Science 2018-11-28 Yongyong Wei , Cristian Frincu , Rong Zheng

Covariance tapering is a popular approach for reducing the computational cost of spatial prediction and parameter estimation for Gaussian process models. However, tapering can have poor performance when the process is sampled at spatially…

Computation · Statistics 2016-02-22 David Bolin , Jonas Wallin

Recent research in multi-robot exploration and mapping has focused on sampling environmental fields, which are typically modeled using the Gaussian process (GP). Existing information-theoretic exploration strategies for learning GP-based…

Machine Learning · Computer Science 2011-02-01 Kian Hsiang Low , John M. Dolan , Pradeep Khosla

We propose an informative path planning (IPP) algorithm for active classification using an unmanned aerial vehicle (UAV), focusing on weed detection in precision agriculture. We model the presence of weeds on farmland using an occupancy…

Robotics · Computer Science 2016-07-14 Marija Popovic , Gregory Hitz , Juan Nieto , Roland Siegwart , Enric Galceran

In this letter, we present an interactive probabilistic mapping framework for a mobile manipulator picking objects from a pile. The aim is to map the scene, actively decide where to go next and which object to pick, make changes to the…

Robotics · Computer Science 2021-01-11 Liyang Liu , Simon Fryc , Lan Wu , Thanh Vu , Gavin Paul , Teresa Vidal-Calleja

Informative path planning is an important and challenging problem in robotics that remains to be solved in a manner that allows for wide-spread implementation and real-world practical adoption. Among various reasons for this, one is the…

Robotics · Computer Science 2023-03-06 Brady Moon , Satrajit Chatterjee , Sebastian Scherer

We present a new mixed integer formulation for the discrete informative path planning problem in random fields. The objective is to compute a budget constrained path while collecting measurements whose linear estimate results in minimum…

Systems and Control · Electrical Eng. & Systems 2022-04-21 Shamak Dutta , Nils Wilde , Stephen L. Smith

Accurate agricultural weed mapping using unmanned aerial vehicles (UAVs) is crucial for precision farming. While traditional methods rely on rigid, pre-defined flight paths and intensive offline processing, informative path planning (IPP)…

Robotics · Computer Science 2026-01-21 Jacob Swindell , Marija Popović , Riccardo Polvara

We propose a representation of Gaussian processes (GPs) based on powers of the integral operator defined by a kernel function, we call these stochastic processes integral Gaussian processes (IGPs). Sample paths from IGPs are functions…

Machine Learning · Statistics 2019-03-08 Zilong Tan , Sayan Mukherjee

The need for efficient monitoring of spatio-temporal dynamics in large environmental applications, such as the water quality monitoring in rivers and lakes, motivates the use of robotic sensors in order to achieve sufficient spatial…

Robotics · Computer Science 2014-01-16 Amarjeet Singh , Andreas Krause , Carlos Guestrin , William J. Kaiser

Informative sampling designs can impact spatial prediction, or kriging, in two important ways. First, the sampling design can bias spatial covariance parameter estimation, which in turn can bias spatial kriging estimates. Second, even with…

Methodology · Statistics 2021-08-30 Erin M. Schliep , Christopher K. Wikle , Ranadeep Daw

Efficient and robust path planning hinges on combining all accessible information sources. In particular, the task of path planning for robotic environmental exploration and monitoring depends highly on the current belief of the world. To…

For many survey-based spatial modelling problems, responses are observed as spatially aggregated over survey regions due to limited resources. Covariates, from weather models and satellite imageries, can be observed at many different…

Applications · Statistics 2022-04-04 Harrison Zhu , Adam Howes , Owen van Eer , Maxime Rischard , Yingzhen Li , Dino Sejdinovic , Seth Flaxman

Real-time kinodynamic trajectory planning in dynamic environments is critical yet challenging for autonomous driving. In this letter, we propose an efficient trajectory planning system for autonomous driving in complex dynamic scenarios…

Robotics · Computer Science 2022-05-25 Cheng Jie , Chen Yingbing , Zhang Qingwen , Gan Lu , Liu Ming

Adaptive informative path planning (AIPP) is important to many robotics applications, enabling mobile robots to efficiently collect useful data about initially unknown environments. In addition, learning-based methods are increasingly used…

Robotics · Computer Science 2024-07-24 Marija Popovic , Joshua Ott , Julius Rückin , Mykel J. Kochenderfer