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We consider the problem of collaborative distributed estimation in a large scale sensor network with statistically dependent sensor observations. In collaborative setup, the aim is to maximize the overall estimation performance by modeling…

Signal Processing · Electrical Eng. & Systems 2022-03-21 Shan Zhang , Pranay Sharma , Baocheng Geng , Pramod K. Varshney

This paper considers the optimal sensor allocation for estimating the emission rates of multiple sources in a two-dimensional spatial domain. Locations of potential emission sources are known (e.g., factory stacks), and the number of…

Computation · Statistics 2025-09-09 Xinchao Liu , Dzung Phan , Youngdeok Hwang , Levente Klein , Xiao Liu , Kyongmin Yeo

We consider the problem of detecting a small subset of defective items from a large set via non-adaptive "random pooling" group tests. We consider both the case when the measurements are noiseless, and the case when the measurements are…

Information Theory · Computer Science 2011-07-25 Chun Lam Chan , Pak Hou Che , Sidharth Jaggi , Venkatesh Saligrama

Sensor networks, such as ultra-wideband sensors for the smart warehouse, may need to run distributed algorithms for automatically determining a topological layout. In this paper, we present 5 different self-stabilizing algorithms (their…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-22 Barton F. Cone , Stephen T. Hedetniemi , Lance C. Ingle , Ken Kennedy

The problem of optimal linear estimation of a linear functional depending on the unknown values of periodically correlated stochastic process from observations of the process with additive noise is considered. Formulas for calculating the…

Statistics Theory · Mathematics 2025-11-20 Iryna Dubovets'ka , Mykhailo Moklyachuk

Many quantum algorithms contain an important subroutine, the quantum amplitude estimation. As the name implies, this is essentially the parameter estimation problem and thus can be handled via the established statistical estimation theory.…

Quantum Physics · Physics 2022-01-10 Tomoki Tanaka , Shumpei Uno , Tamiya Onodera , Naoki Yamamoto , Yohichi Suzuki

We consider the problem of distributed estimation, where local processors observe independent samples conditioned on a common random parameter of interest, map the observations to a finite number of bits, and send these bits to a remote…

Information Theory · Computer Science 2015-04-24 Aolin Xu , Maxim Raginsky

The emergence of the Internet-of-Things and cyber-physical systems necessitates the coordination of access to limited communication resources in an autonomous and distributed fashion. Herein, the optimal design of a wireless sensing system…

Systems and Control · Electrical Eng. & Systems 2020-05-26 Xu Zhang , Marcos M. Vasconcelos , Wei Cui , Urbashi Mitra

We consider a sensor scheduling and remote estimation problem with one sensor and one estimator. At each time step, the sensor makes an observation on the state of a source, and then decides whether to transmit its observation to the…

Systems and Control · Computer Science 2015-10-02 Xiaobin Gao , Emrah Akyol , Tamer Basar

The problem of optimal linear estimation of linear functionals depending on the unknown values of a periodically correlated stochastic process from observations of the process with additive noise is considered. Formulas for calculating the…

Statistics Theory · Mathematics 2025-10-29 Iryna Dubovets'ka , Mykhailo Moklyachuk

An energy efficient use of large scale sensor networks necessitates activating a subset of possible sensors for estimation at a fusion center. The problem is inherently combinatorial; to this end, a set of iterative, randomized algorithms…

Information Theory · Computer Science 2017-09-13 Arpan Chattopadhyay , Urbashi Mitra

In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

Machine Learning · Computer Science 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

Information Theory · Computer Science 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

Machine Learning · Statistics 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

This paper considers cooperative spectrum sensing algorithms for Cognitive Radios which focus on reducing the number of samples to make a reliable detection. We develop an energy efficient detector with low detection delay using…

Information Theory · Computer Science 2013-08-29 Jithin K. Sreedharan , Vinod Sharma

We consider the problem of decentralized 20 questions with noise for multiple players/agents under the minimum entropy criterion in the setting of stochastic search over a parameter space, with application to target localization. We propose…

Multiagent Systems · Computer Science 2015-02-06 Theodoros Tsiligkaridis , Brian M. Sadler , Alfred O. Hero

The focus of this research is sensor applications including radar and sonar. Optimal sensing means achieving the best signal quality with the least time and energy cost, which allows processing more data. This paper presents novel work by…

Signal Processing · Electrical Eng. & Systems 2021-07-06 Abdulaziz M. Alqarni , Thomas G. Robertazzi

In this paper we use the MAP criterion to locate a region containing a source. Sensors placed in a field of interest divide the latter into smaller regions and take measurements that are transmitted over noisy wireless channels. We propose…

Optimization and Control · Mathematics 2009-03-19 S. H. Dandach , F. Bullo

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

We consider frequency estimation in a noisy environment with noisy probes. This builds on previous studies, most of which assume that the initial probe state is pure, while the encoding process is noisy, or that the initial probe state is…