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In this paper, we investigate Gaussian process regression models where inputs are subject to measurement error. In spatial statistics, input measurement errors occur when the geographical locations of observed data are not known exactly.…

Methodology · Statistics 2015-06-30 Daniel Cervone , Natesh S. Pillai

Locating sources of diffusion and spreading from minimum data is a significant problem in network science with great applied values to the society. However, a general theoretical framework dealing with optimal source localization is…

Social and Information Networks · Computer Science 2017-03-16 Zhao-Long Hu , Xiao Han , Ying-Cheng Lai , Wen-Xu Wang

A technique is presented to evaluate the performance of a wireless link with a multi-antenna linear Minimum-Mean-Square Error (MMSE) receiver in the presence of interferers distributed according to non-homogeneous Poisson processes or…

Information Theory · Computer Science 2014-04-08 Junjie Zhu , Siddhartan Govindasamy

A moment bound for the normalized conditional-sum-of-squares (CSS) estimate of a general autoregressive fractionally integrated moving average (ARFIMA) model with an arbitrary unknown memory parameter is derived in this paper. To achieve…

Statistics Theory · Mathematics 2013-07-09 Ngai Hang Chan , Shih-Feng Huang , Ching-Kang Ing

This paper studies the remote state estimation problem of linear time-invariant systems with stochastic event-triggered sensor schedules in the presence of packet drops between the sensor and the estimator. It is shown that the system state…

Optimization and Control · Mathematics 2019-04-04 Liang Xu , Yilin Mo , Lihua Xie

This paper focuses on static source localization employing different combinations of measurements, including time-difference-of-arrival (TDOA), received-signal-strength (RSS), angle-of-arrival (AOA), and time-of-arrival (TOA) measurements.…

Signal Processing · Electrical Eng. & Systems 2025-04-10 Kang Tang , Sheng Xu , Yuqi Yang , He Kong , Yongsheng Ma

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

Machine Learning · Computer Science 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

Digital acquisition of bio-signals has been mostly dominated by uniform time sampling following the Nyquist theorem. However, in recent years, new approaches have emerged, focused on sampling a signal only when certain events happen.…

Signal Processing · Electrical Eng. & Systems 2025-01-22 Silvio Zanoli , Giovanni Ansaloni , Tomás Teijeiro , David Atiena

We study the properties of beamformers in their ability to either maintain or estimate the true signal power of the signal of interest (SOI). Our focus is particularly on the Capon beamformer and the minimum mean squared error (MMSE)…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Esa Ollila , Xavier Mestre , Elias Raninen

We study the sampling of spatial fields using sensors that are location-unaware but deployed according to a known statistical distribution. It has been shown that uniformly distributed location-unaware sensors cannot infer bandlimited…

Information Theory · Computer Science 2016-12-01 Ankur Mallick , Animesh Kumar

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…

Multiagent Systems · Computer Science 2009-09-28 Soummya Kar , Jose M. F. Moura

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

Statistics Theory · Mathematics 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

An entropy-regularized mean square error (MSE-X) cost function is proposed for nonlinear equalization of short-reach optical channels. For a coherent optical transmission experiment, MSE-X achieves the same bit error rate as the standard…

Information Theory · Computer Science 2022-06-03 Francesca Diedolo , Georg Böcherer , Maximilian Schädler , Stefano Calabró

Motivated by emerging technologies for energy efficient analog computing and continuous-time processing, this paper proposes continuous-time minimum mean squared error estimation for multiple-input multiple-output (MIMO) systems based on an…

Information Theory · Computer Science 2022-09-05 Ayano Nakai-Kasai , Tadashi Wadayama

This report considers the class of applications of sensor networks in which each sensor node makes measurements, such as temperature or humidity, at the precise location of the node. Such spot-sensing applications approximate the physical…

Networking and Internet Architecture · Computer Science 2010-03-26 Xiaoyu Chu , Harish Sethu

This paper experimentally and theoretically investigates the fundamental bounds on radio localization precision of far-field Received Signal Strength (RSS) measurements. RSS measurements are proportional to power-flow measurements…

Information Theory · Computer Science 2016-02-24 B. J. Dil , F. Gustafsson , B. J. Hoenders

Convergence properties of empirical risk minimizers can be conveniently expressed in terms of the associated population risk. To derive bounds for the performance of the estimator under covariate shift, however, pointwise convergence rates…

Statistics Theory · Mathematics 2024-01-01 Johannes Schmidt-Hieber , Petr Zamolodtchikov

As the world becomes more and more interconnected, our everyday objects become part of the Internet of Things, and our lives get more and more mirrored in virtual reality, where every piece of~information, including misinformation, fake…

Social and Information Networks · Computer Science 2020-12-04 Robert Paluch , Łukasz G. Gajewski , Janusz A. Hołyst , Boleslaw K. Szymanski

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