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A problem of online estimation of unknown parameters is considered for a linear regression equation, which is affected by an additive perturbation that can be caused by measurement noise (that corrupts regressor and regressand), as well as…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Anton Glushchenko , Konstantin Lastochkin

In this paper, we consider the problem of sparse signal detection based on partial support set estimation with compressive measurements in a distributed network. Multiple nodes in the network are assumed to observe sparse signals which…

Applications · Statistics 2016-08-10 Thakshila Wimalajeewa , Pramod K. Varshney

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

In this paper, we consider a recursive estimation problem for linear regression where the signal to be estimated admits a sparse representation and measurement samples are only sequentially available. We propose a convergent parallel…

Optimization and Control · Mathematics 2017-12-12 Yang Yang , Mengyi Zhang , Marius Pesavento , Daniel P. Palomar

A sensor network is used for distributed joint mean and variance estimation, in a single time snapshot. Sensors observe a signal embedded in noise, which are phase modulated using a constant-modulus scheme and transmitted over a Gaussian…

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

A quantile is defined as a value below which random draws from a given distribution falls with a given probability. In a centralized setting where the cumulative distribution function (CDF) is unknown, the empirical CDF (ECDF) can be used…

Systems and Control · Computer Science 2018-05-02 Jongmin Lee , Cihan Tepedelenlioglu , Andreas Spanias

Differential Equation (DE) is a commonly used modeling method in various scientific subjects such as finance and biology. The parameters in DE models often have interesting scientific interpretations, but their values are often unknown and…

Computation · Statistics 2020-11-24 Ying Zhou , Hongqiao Wang

Existing online continuous-time parameter estimation laws provide exact (asymptotic/exponential or finite/fixed time) identification of dynamical linear/nonlinear systems parameters only if the external perturbations are equaled to zero or…

Systems and Control · Electrical Eng. & Systems 2024-04-08 Anton Glushchenko , Konstantin Lastochkin

We study the problem of estimating a function of many parameters acquired by sensors that are distributed in space, e.g., the spatial gradient of a field. We restrict ourselves to a setting where the distributed sensors are probed with…

Quantum Physics · Physics 2018-10-03 T. J. Volkoff , Mohan Sarovar

Distribution system state estimation (DSSE) is an essential tool for operation of distribution networks, the results of which enables the operator to have a thorough observation of the system. Thus, most distribution management systems…

Systems and Control · Computer Science 2015-04-15 Vahid Rasouli Disfani , Mohammad Chehreghani Bozchalui , Ratnesh Sharma

Implicit sampling is a weighted sampling method that is used in data assimilation, where one sequentially updates estimates of the state of a stochastic model based on a stream of noisy or incomplete data. Here we describe how to use…

Numerical Analysis · Mathematics 2016-01-20 Matthias Morzfeld , Xuemin Tu , Jon Wilkening , Alexandre J. Chorin

Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

Computation · Statistics 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

We study sparse linear regression over a network of agents, modeled as an undirected graph (with no centralized node). The estimation problem is formulated as the minimization of the sum of the local LASSO loss functions plus a quadratic…

Machine Learning · Computer Science 2023-06-23 Yao Ji , Gesualdo Scutari , Ying Sun , Harsha Honnappa

A distributed consensus algorithm for estimating the maximum value of the initial measurements in a sensor network with communication noise is proposed. In the absence of communication noise, max estimation can be done by updating the state…

Systems and Control · Computer Science 2016-02-04 Sai Zhang , Cihan Tepedelenlioglu , Mahesh K. Banavar , Andreas Spanias

This paper studies the problem of recursively estimating the weighted adjacency matrix of a network out of a temporal sequence of binary-valued observations. The observation sequence is generated from nonlinear networked dynamics in which…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

The paper considers gossip distributed estimation of a (static) distributed random field (a.k.a., large scale unknown parameter vector) observed by sparsely interconnected sensors, each of which only observes a small fraction of the field.…

Information Theory · Computer Science 2015-05-20 Soummya Kar , Jose' M. F. Moura

While distributed parameter estimation has been extensively studied in the literature, little has been achieved in terms of robust analysis and tuning methods in the presence of disturbances. However, disturbances such as measurement noise…

Optimization and Control · Mathematics 2024-01-26 Nicolai Lorenz-Meyer , Juan G. Rueda-Escobedo , Jaime A. Moreno , Johannes Schiffer

This paper re-examines the problem of parameter estimation in Bayesian networks with missing values and hidden variables from the perspective of recent work in on-line learning [Kivinen & Warmuth, 1994]. We provide a unified framework for…

Machine Learning · Computer Science 2013-02-08 Eric Bauer , Daphne Koller , Yoram Singer

We investigate the performance of distributed least-mean square (LMS) algorithms for parameter estimation over sensor networks where the regression data of each node are corrupted by white measurement noise. Under this condition, we show…

Systems and Control · Computer Science 2016-11-18 Reza Abdolee , Benoit Champagne

Gaussian processes provide a compact representation for modeling and estimating an unknown function, that can be updated as new measurements of the function are obtained. This paper extends this powerful framework to the case where the…

Systems and Control · Electrical Eng. & Systems 2023-11-30 Jilles van Hulst , Roy van Zuijlen , Duarte Antunes , W. P. M. H. , Heemels
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