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In this correspondence we study the problem of channel-aware decision fusion when the sensor detection probability is not known at the decision fusion center. Several alternatives proposed in the literature are compared and new fusion rules…

Information Theory · Computer Science 2016-03-11 Domenico Ciuonzo , Pierluigi Salvo Rossi

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

Statistics Theory · Mathematics 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

A distributed detection problem over fading Gaussian multiple-access channels is considered. Sensors observe a phenomenon and transmit their observations to a fusion center using the amplify and forward scheme. The fusion center has…

Information Theory · Computer Science 2016-11-17 Mahesh K. Banavar , Anthony D. Smith , Cihan Tepedelenlioglu , Andreas Spanias

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

The Bayesian formulation of sequentially testing $M \ge 3$ hypotheses is studied in the context of a decentralized sensor network system. In such a system, local sensors observe raw observations and send quantized sensor messages to a…

Statistics Theory · Mathematics 2016-11-15 Yan Wang , Yajun Mei

In distributed detection, there does not exist an automatic way of generating optimal decision strategies for non-affine decision functions. Consequently, in a detection problem based on a non-affine decision function, establishing…

Information Theory · Computer Science 2024-08-20 Earnest Akofor

In this paper, we study the detection boundary for minimax hypothesis testing in the context of high-dimensional, sparse binary regression models. Motivated by genetic sequencing association studies for rare variant effects, we investigate…

Statistics Theory · Mathematics 2015-03-06 Rajarshi Mukherjee , Natesh S. Pillai , Xihong Lin

We consider a decentralized detection problem in a power-constrained wireless sensor networks (WSNs), in which a number of sensor nodes collaborate to detect the presence of a deterministic vector signal. The signal to be detected is…

Information Retrieval · Computer Science 2015-10-28 Jun Fang , Hongbin Li , Zhi Chen , Shaoqian Li

In this paper, we consider the problem of distributed Bayesian detection in the presence of Byzantines in the network. It is assumed that a fraction of the nodes in the network are compromised and reprogrammed by an adversary to transmit…

Information Theory · Computer Science 2018-07-17 Bhavya Kailkhura , Yunghsiang S. Han , Swastik Brahma , Pramod K. Varshney

While the Bayesian decision-theoretic framework offers an elegant solution to the problem of decision making under uncertainty, one question is how to appropriately select the prior distribution. One idea is to employ a worst-case prior.…

Machine Learning · Computer Science 2023-02-22 Thomas Kleine Buening , Christos Dimitrakakis , Hannes Eriksson , Divya Grover , Emilio Jorge

This paper provides an overview of results and concepts in minimax robust hypothesis testing for two and multiple hypotheses. It starts with an introduction to the subject, highlighting its connection to other areas of robust statistics and…

Information Theory · Computer Science 2021-05-21 Michael Fauß , Abdelhak M. Zoubir , H. Vincent Poor

The problem of decentralized sequential change detection is considered, where an abrupt change occurs in an area monitored by a number of sensors; the sensors transmit their data to a fusion center, subject to bandwidth and energy…

Statistics Theory · Mathematics 2013-11-12 Georgios Fellouris , George V. Moustakides

The most common approach to mitigate the impact that the presence of malicious nodes has on the accuracy of decision fusion schemes consists in observing the behavior of the nodes over a time interval T and then removing the reports of…

Systems and Control · Computer Science 2015-03-20 Andrea Abrardo , Mauro Barni , Kassem Kallas , Benedetta Tondi

We consider a wireless sensor network (WSN), consisting of several sensors and a fusion center (FC), which is tasked with solving an M-ary hypothesis testing problem. Sensors make M-ary decisions and transmit their digitally modulated…

Information Theory · Computer Science 2017-08-22 Zahra Hajibabaei , Jalil Modares , Azadeh Vosoughi

The distributed hypothesis testing problem with full side-information is studied. The trade-off (reliability function) between the two types of error exponents under limited rate is studied in the following way. First, the problem is…

Information Theory · Computer Science 2019-04-24 Nir Weinberger , Yuval Kochman

We explore the fundamental limits of heterogeneous distributed detection in an anonymous sensor network with n sensors and a single fusion center. The fusion center collects the single observation from each of the n sensors to detect a…

Information Theory · Computer Science 2018-07-31 Wei-Ning Chen , I-Hsiang Wang

In distributed detection systems with wireless sensor networks, the communication between sensors and a fusion center is not perfect due to interference and limited transmitter power at the sensors to combat noise at the fusion center's…

Information Theory · Computer Science 2009-11-13 Xin Zhang , H. Vincent Poor , Mung Chiang

A single-sensor two-detectors system is considered where the sensor communicates with both detectors and Detector 1 communicates with Detector 2, all over noise-free rate-limited links. The sensor and both detectors observe discrete…

Information Theory · Computer Science 2019-07-19 Pierre Escamilla , Michèle Wigger , Abdellatif Zaidi

We derive minimax testing errors in a distributed framework where the data is split over multiple machines and their communication to a central machine is limited to $b$ bits. We investigate both the $d$- and infinite-dimensional signal…

Statistics Theory · Mathematics 2022-12-13 Botond Szabó , Lasse Vuursteen , Harry van Zanten

The problem of quickest anomaly detection in networks with unlabeled samples is studied. At some unknown time, an anomaly emerges in the network and changes the data-generating distribution of some unknown sensor. The data vector received…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Zhongchang Sun , Shaofeng Zou