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We consider two or more simple symmetric walks on some graphs, e.g. the real line, the plane or the two dimensional comb lattice, and investigate the properties of the distance among the walkers.

概率论 · 数学 2016-07-27 Endre Csaki , Antonia Foldes , Pal Revesz

This paper gives an introduction to the problem of mapping simple polygons with autonomous agents. We focus on minimalistic agents that move from vertex to vertex along straight lines inside a polygon, using their sensors to gather local…

计算几何 · 计算机科学 2018-12-10 Jérémie Chalopin , Shantanu Das , Yann Disser , Matúš Mihalák , Peter Widmayer

This paper focuses on the problem of localising a transmitting mobile station (MS) using multiple cooperative base stations (BSs). There are two technical difficulties: one is the data association between intermediate parameters and…

信号处理 · 电气工程与系统科学 2019-11-21 Hengyan Liu , Wei Dai , Yuan Shen

Global mobile robot localization is the problem of determining a robot's pose in an environment, using sensor data, when the starting position is unknown. A family of probabilistic algorithms known as Monte Carlo Localization (MCL) is…

机器人学 · 计算机科学 2007-05-23 Javier Nicolas Sanchez , Adam Milstein , Evan Williamson

We study the network localization problem, i.e., the problem of determining node positions of a wireless sensor network modeled as a unit disk graph. In an arbitrarily deployed network, positions of all nodes of the network may not be…

分布式、并行与集群计算 · 计算机科学 2020-08-04 Kaustav Bose , Manash Kumar Kundu , Ranendu Adhikary , Buddhadeb Sau

This paper gives a complete description of the solutions of the global positioning problem, emphasizing the under-determined case. We show that the solutions form a quadric, which may degenerate in various ways. Perhaps more surprisingly,…

度量几何 · 数学 2026-05-28 Mireille Boutin , Gregor Kemper

Crossing minimization is one of the central problems in graph drawing. Recently, there has been an increased interest in the problem of minimizing crossings between paths in drawings of graphs. This is the metro-line crossing minimization…

数据结构与算法 · 计算机科学 2013-06-19 Martin Fink , Sergey Pupyrev

The design of distributed gathering and convergence algorithms for tiny robots has recently received much attention. In particular, it has been shown that convergence problems can even be solved for very weak, \emph{oblivious} robots:…

分布式、并行与集群计算 · 计算机科学 2016-08-23 Debasish Pattanayak , Kaushik Mondal , Partha Sarathi Mandal , Stefan Schmid

We consider the problem of estimating the locations of a set of points in a k-dimensional euclidean space given a subset of the pairwise distance measurements between the points. We focus on the case when some fraction of these measurements…

信息论 · 计算机科学 2012-10-19 Venkatesan Ekambaram , Giulia Fanti , Kannan Ramchandran

In the distributed localization problem (DLP), $n$ anonymous robots (agents) $a_0, a_1, ..., a_{n-1}$ begin at arbitrary positions $p_0, ..., p_{n-1}$ in $S$, where $S$ is an Euclidean space. The primary goal in DLP is for agents to reach a…

分布式、并行与集群计算 · 计算机科学 2025-05-09 Leszek Gąsieniec , Łukasz Kuszner , Ehsan Latif , Ramviyas Parasuraman , Paul Spirakis , Grzegorz Stachowiak

In this paper, we present a framework for self-localization of parking robots in a parking lot innovatively using square-like landmarks, aiming to provide a positioning solution with low cost but high accuracy. It utilizes square structures…

机器人学 · 计算机科学 2018-12-27 Canbo Ye , Guang Chen , Sanqing Qu , Qianyi Yang , Kai Chen , Jiatong Du , Ruien Hu

This paper introduces an efficient procedure to localize user-defined points on the surface of deformable objects and track their positions in 3D space over time. To cope with a deformable object's infinite number of DOF, we propose a…

计算机视觉与模式识别 · 计算机科学 2021-05-20 Sven Dittus , Benjamin Alt , Andreas Hermann , Darko Katic , Rainer Jäkel , Jürgen Fleischer

A Semidefinite Programming (SDP) relaxation is an effective computational method to solve a Sensor Network Localization problem, which attempts to determine the locations of a group of sensors given the distances between some of them [11].…

度量几何 · 数学 2012-11-16 Davood Shamsi , Nicole Taheri , Zhisu Zhu , Yinyu Ye

In this paper we study a generalized version of the Weber problem of finding a point that minimizes the sum of its distances to a finite number of given points. In our setting these distances may be $cut$ $off$ at a given value $C > 0$, and…

最优化与控制 · 数学 2022-03-03 Raoul Müller , Anita Schöbel , Dominic Schuhmacher

This paper addresses the distributed localization problem for a network of sensors placed in a three-dimensional space, in which sensors are able to perform range measurements, i.e., measure the relative distance between them, and exchange…

系统与控制 · 电气工程与系统科学 2025-10-21 Jinze Wu , Lorenzo Zino , Zhiyun Lin , Alessandro Rizzo

An appearance-based robot self-localization problem is considered in the machine learning framework. The appearance space is composed of all possible images, which can be captured by a robot's visual system under all robot localizations.…

计算机视觉与模式识别 · 计算机科学 2017-10-06 Alexander Kuleshov , Alexander Bernstein , Evgeny Burnaev , Yury Yanovich

We consider a problem of localizing a path-signal that evolves over time on a graph. A path-signal can be viewed as the trajectory of a moving agent on a graph in several consecutive time points. Combining dynamic programming and graph…

信号处理 · 电气工程与系统科学 2018-11-14 Yaoqing Yang , Siheng Chen , Mohammad Ali Maddah-Ali , Pulkit Grover , Soummya Kar , Jelena Kovačević

Visual place recognition is a fundamental capability for the localization of mobile robots. It places image retrieval in the practical context of physical agents operating in a physical world. It is an active field of research and many…

计算机视觉与模式识别 · 计算机科学 2021-06-25 Stefan Schubert , Peer Neubert

We study several natural instances of the geometric hitting set problem for input consisting of sets of line segments (and rays, lines) having a small number of distinct slopes. These problems model path monitoring (e.g., on road networks)…

计算几何 · 计算机科学 2016-12-20 Sándor P. Fekete , Kan Huang , Joseph S. B. Mitchell , Ojas Parekh , Cynthia A. Phillips

The locality of a graph problem is the smallest distance $T$ such that each node can choose its own part of the solution based on its radius-$T$ neighborhood. In many settings, a graph problem can be solved efficiently with a distributed or…

分布式、并行与集群计算 · 计算机科学 2021-12-14 Yi-Jun Chang , Jan Studený , Jukka Suomela