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We consider the Set Once Strip Cover problem, in which n wireless sensors are deployed over a one-dimensional region. Each sensor has a fixed battery that drains in inverse proportion to a radius that can be set just once, but activated at…

Data Structures and Algorithms · Computer Science 2013-08-20 Amotz Bar-Noy , Ben Baumer , Dror Rawitz

A recent line of research has been investigating deep learning approaches to wireless positioning (WP). Although these WP algorithms have demonstrated high accuracy and robust performance against diverse channel conditions, they also have a…

Machine Learning · Computer Science 2025-10-01 Myeung Suk Oh , Anindya Bijoy Das , Taejoon Kim , David J. Love , Christopher G. Brinton

The minimum dominating set problem has wide applications in network science and related fields. It consists of assembling a node set of global minimum size such that any node of the network is either in this set or is adjacent to at least…

Physics and Society · Physics 2015-05-14 Jin-Hua Zhao , Yusupjan Habibulla , Hai-Jun Zhou

The problem of classification in machine learning has often been approached in terms of function approximation. In this paper, we propose an alternative approach for classification in arbitrary compact metric spaces which, in theory, yields…

Machine Learning · Computer Science 2026-03-26 H. N. Mhaskar , Ryan O'Dowd

In this work, we consider a method of searching of the direction of a wireless network development (the places of new access points or base stations etc.) optimized with criteria of coverage of important territories and minimum cost of…

Networking and Internet Architecture · Computer Science 2012-09-03 Lev Kazakovtsev

In recent years, there have been efforts to collect human contact traces during social events (e.g., conferences) using Bluetooth devices (e.g., mobile phones, iMotes). The results of these studies have enabled the ability to do the…

Social and Information Networks · Computer Science 2017-04-28 Phuong Nguyen , Klara Nahrstedt

The dominating set problem has many practical applications but is well-known to be NP-hard. Therefore, there is a need for efficient approximation algorithms, especially in applications such as ad hoc wireless networks. Most distributed…

Physics and Society · Physics 2023-05-16 Hunter Rehm , Robert Kassouf-Short , Puck Rombach

This paper is about minimum cost constrained selection of inputs and outputs for generic arbitrary pole placement. The input-output set is constrained in the sense that the set of states that each input can influence and the set of states…

Optimization and Control · Mathematics 2018-01-11 Shana Moothedath , Prasanna Chaporkar , Madhu N. Belur

We introduce a simple, efficient and precise polynomial heuristic for a key NP complete problem, minimum vertex cover. Our method is iterative and operates in probability space. Once a stable probability solution is found we find the true…

Statistical Mechanics · Physics 2007-05-23 P. M. Duxbury , C. W. Fay

Given a set $P$ of $n$ points and a set $S$ of $m$ disks in the plane, the disk coverage problem asks for a smallest subset of disks that together cover all points of $P$. The problem is NP-hard. In this paper, we consider a line-separable…

Computational Geometry · Computer Science 2024-02-06 Gang Liu , Haitao Wang

Considering a communication topology of a wireless network modeled by a graph where an edge exists between two nodes if they are within each other's communication range. A subset $U$ of nodes is a dominating set if each node is either in…

Networking and Internet Architecture · Computer Science 2015-03-20 Xiaohua Xu , Xiang-Yang Li

In this article we consider the problems of distributed detection and estimation in wireless sensor networks. In the first part, we provide a general framework aimed to show how an efficient design of a sensor network requires a joint…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-07-08 Sergio Barbarossa , Stefania Sardellitti , Paolo Di Lorenzo

Training a modern deep neural network on massive labeled samples is the main paradigm in solving the scene classification problem for remote sensing, but learning from only a few data points remains a challenge. Existing methods for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Haifeng Li , Zhenqi Cui , Zhiqing Zhu , Li Chen , Jiawei Zhu , Haozhe Huang , Chao Tao

We introduce the problem of finding a set $B$ of $k$ points in $[0,1]^n$ such that the expected cost of the cheapest point in $B$ that dominates a random point from $[0,1]^n$ is minimized. We study the case where the coordinates of the…

Optimization and Control · Mathematics 2022-02-17 Bento Natura , Meike Neuwohner , Stefan Weltge

We study the Unique Set Cover problem on unit disks and unit squares. For a given set $P$ of $n$ points and a set $D$ of $m$ geometric objects both in the plane, the objective of the Unique Set Cover problem is to select a subset…

Computational Geometry · Computer Science 2016-07-26 Saeed Mehrabi

We introduce a novel criterion in clustering that seeks clusters with limited range of values associated with each cluster's elements. In clustering or classification the objective is to partition a set of objects into subsets, called…

Data Structures and Algorithms · Computer Science 2018-05-15 Dorit S. Hochbaum

Edge-Geodetic Sets play a crucial role in network monitoring and optimization, wherein the goal is to strategically place monitoring stations on vertices of a network, represented as a graph, to ensure complete coverage of edges and…

Computational Complexity · Computer Science 2025-06-17 Giordano Colli

Satellite imagery solutions are widely used to study and monitor different regions of the Earth. However, a single satellite image can cover only a limited area. In cases where a larger area of interest is studied, several images must be…

Artificial Intelligence · Computer Science 2023-12-08 Manuel Combarro Simón , Pierre Talbot , Grégoire Danoy , Jedrzej Musial , Mohammed Alswaitti , Pascal Bouvry

Given a set $P$ of $n$ points and a set $S$ of $m$ disks in the plane, the disk hitting set problem asks for a smallest subset of $P$ such that every disk of $S$ contains at least one point in the subset. The problem is NP-hard. In this…

Computational Geometry · Computer Science 2024-07-02 Gang Liu , Haitao Wang

Consider N equally-spaced points on a circle of circumference N. Choose at random n points out of $N$ on this circle and append clockwise an arc of integral length k to each such point. The resulting random set is made of a random number of…

Statistical Mechanics · Physics 2015-05-28 Thierry Huillet