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The radio interferometric positioning system (RIPS) is a novel positioning solution used in wireless sensor networks. This letter explores the ranging accuracy of RIPS in two configurations. In the linear step-frequency (LSF) configuration,…

Information Theory · Computer Science 2015-06-19 Yue Zhang , Wangdong Qi , Guangxia Li , Su Zhang

Optimization under uncertainty and risk is indispensable in many practical situations. Our paper addresses stability of optimization problems using composite risk functionals which are subjected to measure perturbations. Our main focus is…

Optimization and Control · Mathematics 2022-01-06 Darinka Dentcheva , Yang Lin , Spiridon Penev

This paper presents an efficient method for computing maximum likelihood (ML) direction of arrival (DOA) estimates assuming unknown sensor noise powers. The method combines efficient Alternate Projection (AP) procedures with Newton…

Information Theory · Computer Science 2020-01-08 J. Selva

We investigate the theoretical performances of the Partial Least Square (PLS) algorithm in a high dimensional context. We provide upper bounds on the risk in prediction for the statistical linear model when considering the PLS estimator.…

Statistics Theory · Mathematics 2024-10-15 Luca Castelli , Irène Gannaz , Clément Marteau

Emitter localization is widely applied in the military and civilian _elds. In this paper, we tackle the problem of position estimation for multiple stationary emitters using Doppler frequency shifts and angles by moving receivers. The…

Signal Processing · Electrical Eng. & Systems 2021-12-07 Ziqiang Wang , Yimao Sun , Qun Wan , Lei Xie , Ning Liu

As Wireless Sensor Networks are penetrating into the industrial domain, many research opportunities are emerging. One such essential and challenging application is that of node localization. A feed-forward neural network based methodology…

Networking and Internet Architecture · Computer Science 2016-10-17 Shiu Kumar , Ronesh Sharma , Edwin Vans

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

We study statistical estimators computed using iterative optimization methods that are not run until completion. Classical results on maximum likelihood estimators (MLEs) assert that a one-step estimator (OSE), in which a single…

Optimization and Control · Mathematics 2021-06-28 Robert Bassett , Julio Deride

We study parameter estimation and asymptotic inference for sparse nonlinear regression. More specifically, we assume the data are given by $y = f( x^\top \beta^* ) + \epsilon$, where $f$ is nonlinear. To recover $\beta^*$, we propose an…

Machine Learning · Statistics 2015-11-17 Zhuoran Yang , Zhaoran Wang , Han Liu , Yonina C. Eldar , Tong Zhang

Estimation of the parameters of a 2-dimensional sinusoidal model is a fundamental problem in digital signal processing and time series analysis. In this paper, we propose a robust least absolute deviation (LAD) estimators for parameter…

Statistics Theory · Mathematics 2023-06-19 Saptarshi Roy , Amit Mitra , N K Archak

The physical position is crucial in location-aware services or protocols based on geographic information, where localization is performed given a set of sensor measurements for acquiring the position of an object with respect to a certain…

Applications · Statistics 2022-04-14 Wu Junfeng , Mu Biqiang , Yi Xinlei , Wei Jieqiang , Johansson Karl Henrik

This work concerns estimation of multidimensional nonlinear regression models using multilayer perceptron (MLP). The main problem with such model is that we have to know the covariance matrix of the noise to get optimal estimator. however…

Statistics Theory · Mathematics 2008-02-22 Joseph Rynkiewicz

We consider an $\ell_2$-regularized non-convex optimization problem for recovering signals from their noisy phaseless observations. We design and study the performance of a message passing algorithm that aims to solve this optimization…

Information Theory · Computer Science 2018-06-11 Junjie Ma , Ji Xu , Arian Maleki

This paper introduces an intuitive and easy-to-implement nonparametric density estimator based on local polynomial techniques. The estimator is fully boundary adaptive and automatic, but does not require pre-binning or any other…

Econometrics · Economics 2019-06-11 Matias D. Cattaneo , Michael Jansson , Xinwei Ma

Spatial-temporal linear model and the corresponding likelihood-based statistical inference are important tools for the analysis of spatial-temporal lattice data. In this paper, we study the asymptotic properties of maximum likelihood…

Statistics Theory · Mathematics 2012-07-27 Xiang Zhang , Yanbing Zheng

Source localization based on signal strength measurements has become very popular due to its practical simplicity. However, the severe nonlinearity and non-convexity make the related optimization problem mathematically difficult to solve,…

Signal Processing · Electrical Eng. & Systems 2018-07-11 Yongchang Hu , Geert Leus

We consider a distributionally robust stochastic optimization problem and formulate it as a stochastic two-level composition optimization problem with the use of the mean--semideviation risk measure. In this setting, we consider a single…

Optimization and Control · Mathematics 2023-06-12 Landi Zhu , Mert Gürbüzbalaban , Andrzej Ruszczyński

The report focuses on three areas in particular: the first is the Received Signal Strength indicator technique, Direction of Arrival technique, and the integration of two algorithms, RSS and DOA, in order to build a hybrid, more robust…

Signal Processing · Electrical Eng. & Systems 2018-06-18 Mohamed AlHajri , Abdulrahman Goian , Muna Darweesh , Rashid AlMemari , Raed Shubair , Luis Weruaga , Ahmed AlTunaiji

There are many models, often called unnormalized models, whose normalizing constants are not calculated in closed form. Maximum likelihood estimation is not directly applicable to unnormalized models. Score matching, contrastive divergence…

Machine Learning · Statistics 2018-08-27 Masatoshi Uehara , Takeru Matsuda , Fumiyasu Komaki

The localization problem in a wireless sensor network is to determine the coordination of sensor nodes using the known positions of some nodes (called anchors) and corresponding noisy distance measurements. There is a variety of different…

Optimization and Control · Mathematics 2014-09-19 Pouya Mollaebrahim Ghari , Reza Shahbazian , Seyed Ali Ghorashi