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Given a continuous sensor field, we can apply the Euler characteristic integral approach to count the number of targets in the sensor field. If the sensor field is discrete, the Euler integral approach introduces errors into our target…

概率论 · 数学 2022-06-07 Sam G. Krupa

Observing the internal state of the whole system using a small number of sensor nodes is important in analysis of complex networks. Here, we study the problem of determining the minimum number of sensor nodes to discriminate attractors…

数据结构与算法 · 计算机科学 2021-06-14 Xiaoqing Cheng , Wai-Ki Ching , Sini Guo , Tatsuya Akutsu

Euler integrals of deterministic functions have recently been shown to have a wide variety of possible applications, including in signal processing, data aggregation and network sensing. Adding random noise to these scenarios, as is natural…

概率论 · 数学 2015-06-30 Gregory Naitzat , Robert J. Adler

How to observe the state of a network from a limited number of measurements has become an important issue in complex networks, engineering, communication, epidemiology, etc. Under some scenarios, it is neither unfeasible nor unnecessary to…

物理与社会 · 物理学 2022-12-01 Yifan Sun , Zhengyang Sun

In this paper, we address the problem of simultaneous classification and estimation of hidden parameters in a sensor network with communications constraints. In particular, we consider a network of noisy sensors which measure a common…

多智能体系统 · 计算机科学 2012-06-19 Fabio Fagnani , Sophie M. Fosson , Chiara Ravazzi

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…

分布式、并行与集群计算 · 计算机科学 2013-07-08 Sergio Barbarossa , Stefania Sardellitti , Paolo Di Lorenzo

We study the problem of finding the index of the minimum value of a vector from noisy observations. This problem is relevant in population/policy comparison, discrete maximum likelihood, and model selection. We develop an asymptotically…

统计理论 · 数学 2026-01-21 Tianyu Zhang , Hao Lee , Jing Lei

Network topology inference is a fundamental problem in many applications of network science, such as locating the source of fake news, brain connectivity networks detection, etc. Many real-world situations suffer from a critical problem…

应用统计 · 统计学 2022-06-22 Yupeng Chen , Zhiguo Wang , Xiaojing Shen

The Euler scheme is up to date the most important numerical method for ordinary differential inclusions, because the use of the available higher-order methods is prohibited by their enormous complexity after spatial discretization.…

数值分析 · 数学 2013-08-19 Janosch Rieger

Consider a sensor network made of remote nodes connected to a common fusion center. In a recent work Blum and Sadler [1] propose the idea of ordered transmissions -sensors with more informative samples deliver their messages first- and…

信息论 · 计算机科学 2011-03-29 Paolo Braca , Stefano Marano , Vincenzo Matta

We address the problem of retrieving the full state of a network of R\"ossler systems from the knowledge of the actual state of a limited set of nodes. The selection of the nodes where sensors are placed is carried out in a hierarchical way…

混沌动力学 · 物理学 2022-03-16 Irene Sendiña-Nadal , Christophe Letellier

Reachable sets of nonlinear control systems can in general only be approximated numerically, and these approximations are typically very expensive to compute. In this paper, we explore a strategy for choosing the temporal and spatial…

数值分析 · 数学 2023-07-24 Janosch Rieger , Kyria Wawryk

The paper studies the problem of distributed average consensus in sensor networks with quantized data and random link failures. To achieve consensus, dither (small noise) is added to the sensor states before quantization. When the quantizer…

多智能体系统 · 计算机科学 2009-09-28 Soummya Kar , Jose M. F. Moura

Distributed consensus has been widely studied for sensor network applications. Whereas the asymptotic convergence rate has been extensively explored in prior work, other important and practical issues, including energy efficiency and link…

网络与互联网体系结构 · 计算机科学 2013-04-10 Lei Chen , Jeff Frolik

We consider the selective sensing of planar waves in the presence of noise. We present different methods to control the sensitivity of a quantum sensor network, which allow one to decouple it from arbitrarily selected waves while retaining…

量子物理 · 物理学 2025-07-15 Arne Hamann , Paul Aigner , Pavel Sekatski , Wolfgang Dür

Observations collected by agents in a network may be unreliable due to observation noise or interference. This paper proposes a distributed algorithm that allows each node to improve the reliability of its own observation by relying solely…

机器学习 · 计算机科学 2022-03-21 Roula Nassif , Virginia Bordignon , Stefan Vlaski , Ali H. Sayed

This paper investigates the state estimation problem for a class of complex networks, in which the dynamics of each node is subject to Gaussian noise, system uncertainties and nonlinearities. Based on a regularized least-squares approach,…

系统与控制 · 电气工程与系统科学 2021-03-16 Peihu Duan , Qishao Wang , Zhisheng Duan , Guanrong Chen

Previous preliminary results on the application of knowledge networks to noise reduction in stationary harmonic and weakly chaotic signals are extended to more general cases. The formalism gives a novel algorithm from which statistical…

数据分析、统计与概率 · 物理学 2007-05-23 Arturo Berrones

A sensor network is considered where at each sensor a sequence of random variables is observed. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

统计理论 · 数学 2023-07-19 Taposh Banerjee , Venugopal V. Veeravalli

The problem of computing a connected network with minimum interference is a fundamental problem in wireless sensor networks. Several models of interference have been studied in the literature. The most common model is the receiver-centric,…

计算几何 · 计算机科学 2020-04-21 A. Karim Abu-Affash , Paz Carmi , Matthew J. Katz
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