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We study k-median clustering under the sequential no-substitution setting. In this setting, a data stream is sequentially observed, and some of the points are selected by the algorithm as cluster centers. However, a point can be selected as…

Machine Learning · Computer Science 2022-04-14 Tom Hess , Michal Moshkovitz , Sivan Sabato

In this paper, we revisit the distributed coverage control problem with multiple robots on both metric graphs and in non-convex continuous environments. Traditionally, the solutions provided for this problem converge to a locally optimal…

Multiagent Systems · Computer Science 2020-05-07 Armin Sadeghi , Ahmad Bilal Asghar , Stephen L. Smith

In the study of high-dimensional data, it is often assumed that the data set possesses an underlying lower-dimensional structure. A practical model for this structure is an embedded compact manifold with boundary. Since the underlying…

Machine Learning · Statistics 2025-08-22 Pei-Cheng Kuo , Nan Wu

The paper addresses the problem of locating sensors with a circular field of view so that a given line segment is under full surveillance, which is termed as the Disc Covering Problem on a Line. The cost of each sensor includes a fixed…

Discrete Mathematics · Computer Science 2007-07-20 Alessandro Agnetis , Enrico Grande , Pitu B. Mirchandani , Andrea Pacifici

This paper addresses the deployment of sensors for a 2-D barrier coverage system. The challenge is to compute near-optimal sensor placements for detecting targets whose trajectories follow a log-Gaussian Cox line process. We explore sensor…

Robotics · Computer Science 2025-05-13 Mingyu Kim , Daniel J. Stilwell , Harun Yetkin , Jorge Jimenez

This paper develops a new framework for preventing localization failures in mobile systems that must estimate their state using measurements. Safety is guaranteed by imposing the nonlinear least squares optimization solved in modern…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Samuel G. Gessow , David Thorne , Brett T. Lopez

In this work, we carry out structural and algorithmic studies of a problem of barrier forming: selecting theminimum number of straight line segments (barriers) that separate several sets of mutually disjoint objects in the plane. The…

Robotics · Computer Science 2022-02-25 Si Wei Feng , Jingjin Yu

Recently, barrier certificates have been introduced to prove the safety of continuous or hybrid dynamical systems. A barrier certificate needs to exhibit some barrier function, which partitions the state space in two subsets: the safe…

Dynamical Systems · Mathematics 2015-06-22 A Djaballah , Alexandre Chapoutot , Michel Kieffer , O Bouissou

This paper presents a strategy to guide a mobile ground robot equipped with a camera or depth sensor, in order to autonomously map the visible part of a bounded three-dimensional structure. We describe motion planning algorithms that…

Robotics · Computer Science 2017-11-15 Manikandasriram Srinivasan Ramanagopal , André Phu-Van Nguyen , Jerome Le Ny

In this paper we consider the coverage control problem for a team of wire-traversing robots. The two-dimensional motion of robots moving in a planar environment has to be projected to one-dimensional manifolds representing the wires.…

Robotics · Computer Science 2018-02-27 Gennaro Notomista , Magnus Egerstedt

We study a mobile wireless sensor network (MWSN) consisting of multiple mobile sensors or robots. Two key issues in MWSNs - energy consumption, which is dominated by sensor movement, and sensing coverage - have attracted plenty of…

Information Theory · Computer Science 2017-10-26 Jun Guo , Hamid Jafarkhani

Due to hardware and computational constraints, wireless sensor networks (WSNs) normally do not take measurements of time-of-arrival or time-difference-of-arrival for rangebased localization. Instead, WSNs in some applications use rangefree…

Information Theory · Computer Science 2016-11-17 Hongyang Chen , Y. T. Chan , H. Vincent Poor , Kaoru Sezaki

This work is concerned with synthesizing safety controllers for discrete-time nonlinear systems beyond polynomials with unknown mathematical models using the notion of k-inductive control barrier certificates (k-CBCs). Conventional CBC…

Systems and Control · Electrical Eng. & Systems 2024-12-11 Ben Wooding , Abolfazl Lavaei

Decentralized control of mobile robotic sensor networks is a fundamental problem in robotics that has attracted intensive research in recent decades. Most of the existing works dealt with two-dimensional spaces. This report is concerned…

Optimization and Control · Mathematics 2016-06-02 Vali Nazarzehi

This paper presents a novel coverage control algorithm for multi-agent systems, where each agent has no prior knowledge of the specific region to be covered. The proposed method enables agents to autonomously detect the target area and…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Jie Song , Yang Bai , Mikhail Svinin , Naoki Wakamiya

Given a set of directional visual sensors, the $k$-coverage problem determines the orientation of minimal directional sensors so that each target is covered at least $k$ times. As the problem is NP-complete, a number of heuristics have been…

Networking and Internet Architecture · Computer Science 2015-12-24 Md. Muntakim Sadik , Sakib Md. Bin Malek , Ashikur Rahman

A segment (barrier) is specified on the plane, as well as depots, where the mobile devices (drones) can be placed. Each drone departs from its depot to the barrier, moves along the barrier and returns to its depot, traveling a path of a…

Discrete Mathematics · Computer Science 2025-02-25 Adil Erzin , Anzhela Shadrina

In this paper, a cooperative localization algorithm is proposed that considers the existence of obstacles in mobilityassisted wireless sensor networks (WSNs). In this scheme, a mobile anchor (MA) node cooperates with static sensor nodes and…

Information Theory · Computer Science 2016-11-17 Hongyang Chen , Qingjiang Shi , Pei Huang , H. Vincent Poor , Kaoru Sezaki

We investigate the problem of using mobile robots equipped with 2D range sensors to optimally guard perimeters or regions, i.e., 1D or 2D sets. Given such a set of arbitrary shape to be guarded, and $k$ mobile sensors where the $i$-th…

Robotics · Computer Science 2020-06-11 Si Wei Feng , Jingjin Yu

Suppose one wants to monitor a domain with sensors, each sensing a small ball-shaped region, but the domain is hazardous enough that one cannot control the placement of the sensors. A prohibitively large number of randomly placed sensors…

Dynamical Systems · Mathematics 2024-08-12 Henry Adams , Deepjyoti Ghosh , Clark Mask , William Ott , Kyle Williams