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A random search is a stochastic process representing the random motion of a particle (denoted as the searcher) that is terminated when it reaches (detects) a target particle or area the first time. In intermittent search the random motion…

Soft Condensed Matter · Physics 2016-11-23 Karsten Schwarz , Yannick Schröder , Heiko Rieger

We propose a self-contained, resilient and fully distributed solution for locating the maximum of an unknown scalar field using a swarm of robots that travel at a constant speed. Unlike conventional reactive methods relying on gradient…

Navigation tasks often cannot be defined in terms of a target, either because global position information is unavailable or unreliable or because target location is not explicitly known a priori. This task is then often defined indirectly…

Optimization and Control · Mathematics 2019-09-18 Bruno A. Angélico , Luiz F. O. Chamon , Santiago Paternain , Alejandro Ribeiro , George J. Pappas

Suppose that in a given planar circular region, there are some smart mobile evaders and we would like to find them using sweeping agents. We assume that each agent has a line sensor of length 2r. We propose procedures for designing…

Multiagent Systems · Computer Science 2020-05-05 Roee M. Francos , Alfred M. Bruckstein

Searching for a line on the plane with $n$ unit speed robots is a classic online problem that dates back to the 50's, and for which competitive ratio upper bounds are known for every $n\geq 1$. In this work we improve the best lower bound…

Discrete Mathematics · Computer Science 2020-01-14 Sumi Acharjee , Konstantinos Georgiou , Somnath Kundu , Akshaya Srinivasan

Planning high-speed trajectories for UAVs in unknown environments requires algorithmic techniques that enable fast reaction times to guarantee safety as more information about the environment becomes available. The standard approaches that…

Robotics · Computer Science 2021-09-01 Jesus Tordesillas , Brett T. Lopez , Michael Everett , Jonathan P. How

We investigate the problem of stabilizing an unknown networked linear system under communication constraints and adversarial disturbances. We propose the first provably stabilizing algorithm for the problem. The algorithm uses a distributed…

Systems and Control · Electrical Eng. & Systems 2023-01-24 Jing Yu , Dimitar Ho , Adam Wierman

In this paper we study the problem of driving an agent to an unknown source whose location is estimated in real-time by a recursive optimization algorithm. The optimization criterion is subject to a least-square cost function constructed…

Systems and Control · Computer Science 2019-01-08 Thien-Minh Nguyen , Lihua Xie

Consider a given planar circular region, in which there is an unknown number of smart mobile evaders. We wish to detect evaders using a line formation of sweeping agents whose total sensing length is predetermined. We propose procedures for…

Multiagent Systems · Computer Science 2023-05-16 Roee M. Francos , Alfred M. Bruckstein

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

Statistical Mechanics · Physics 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

This paper studies a stochastic extremum seeking method to steer a nonholonomic vehicle to the unknown source of a static spatially distributed filed in a plane. The key challenge lies in the lack of vehicle's position information and the…

Optimization and Control · Mathematics 2016-11-16 Jinbiao Lin , Shiji Song , Keyou You , Miroslav Krstic

Object Goal Navigation (ObjectNav) task is to navigate an agent to an object category in unseen environments without a pre-built map. In this paper, we solve this task by predicting the distance to the target using semantically-related…

Robotics · Computer Science 2022-07-14 Minzhao Zhu , Binglei Zhao , Tao Kong

This paper examines the degree to which an evader seeking a safe and efficient path to a target location can benefit from increasing levels of knowledge regarding one or more range-limited pursuers seeking to intercept it. Unlike previous…

Optimization and Control · Mathematics 2025-12-23 Thomas Chapman , Alexander Von Moll , Isaac E. Weintraub

We consider a discrete-time dynamic search game in which a number of players compete to find an invisible object that is moving according to a time-varying Markov chain. We examine the subgame perfect equilibria of these games. The main…

Optimization and Control · Mathematics 2020-08-26 Benoit Duvocelle , János Flesch , Hui Min Shi , Dries Vermeulen

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

The convex body chasing problem, introduced by Friedman and Linial, is a competitive analysis problem on any normed vector space. In convex body chasing, for each timestep $t\in\mathbb N$, a convex body $K_t\subseteq \mathbb R^d$ is given…

Data Structures and Algorithms · Computer Science 2021-08-16 Sébastien Bubeck , Bo'az Klartag , Yin Tat Lee , Yuanzhi Li , Mark Sellke

Motion planning under uncertainty is one of the main challenges in developing autonomous driving vehicles. In this work, we focus on the uncertainty in sensing and perception, resulted from a limited field of view, occlusions, and sensing…

Robotics · Computer Science 2021-10-05 Kasra Rezaee , Peyman Yadmellat , Simon Chamorro

We consider a game played between a hider, who hides a static object in one of several possible positions in a bounded planar region, and a searcher, who wishes to reach the object by querying sensors placed in the plane. The searcher is a…

Computer Science and Game Theory · Computer Science 2015-03-19 Alessandro Borri , Shaunak D. Bopardikar , Joao P. Hespanha , Maria D. Di Benedetto

We introduce a search problem generalizing the typical setting of Binary Search on the line. Similar to the setting for Binary Search, a target is chosen adversarially on the line, and in response to a query, the algorithm learns whether…

Data Structures and Algorithms · Computer Science 2023-03-14 Calvin Leng , David Kempe

In this paper, we study the symmetric rendezvous search problem on the line with n > 2 robots that are unaware of their locations and the initial distances between them. In the symmetric version of this problem, the robots execute the same…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-23 Deniz Ozsoyeller
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