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This paper studies the problem of estimation from relative measurements in a graph, in which a vector indexed over the nodes has to be reconstructed from pairwise measurements of differences between its components associated to nodes…

系统与控制 · 计算机科学 2018-07-27 Chiara Ravazzi , Nelson P. K. Chan , Paolo Frasca

Massive multiple-input multiple-output low-Earth-orbit communication channels are highly time-varying due to severe Doppler shifts and propagation delays. While satellite-mobility-induced Doppler shifts can be compensated using known…

信号处理 · 电气工程与系统科学 2025-10-17 Abdollah Masoud Darya , Saeed Abdallah

(abridged) We develop an algorithm for estimating parameters of a distribution sampled with contamination, employing a statistical technique known as ``expectation maximization'' (EM). Given models for both member and contaminant…

天体物理学 · 物理学 2009-11-13 Matthew G. Walker , Mario Mateo , Edward W. Olszewski , Bodhisattva Sen , Michael Woodroofe

We propose a Bayesian expectation-maximization (EM) algorithm for reconstructing Markov-tree sparse signals via belief propagation. The measurements follow an underdetermined linear model where the regression-coefficient vector is the sum…

机器学习 · 统计学 2013-08-27 Zhao Song , Aleksandar Dogandzic

Mixture models of Plackett-Luce (PL) -- one of the most fundamental ranking models -- are an active research area of both theoretical and practical significance. Most previously proposed parameter estimation algorithms instantiate the EM…

机器学习 · 计算机科学 2023-02-13 Duc Nguyen , Anderson Y. Zhang

The EM algorithm is a novel numerical method to obtain maximum likelihood estimates and is often used for practical calculations. However, many of maximum likelihood estimation problems are nonconvex, and it is known that the EM algorithm…

机器学习 · 统计学 2016-08-16 Hideyuki Miyahara , Koji Tsumura

Experimental characterizations of a quantum system involve the measurement of expectation values of observables for a preparable state |psi> of the quantum system. Such expectation values can be measured by repeatedly preparing |psi> and…

量子物理 · 物理学 2009-11-13 Emanuel Knill , Gerardo Ortiz , Rolando D. Somma

In this report, we applied expectation and maximization (EM) method described by Philips et al [1] to recover two-dimensional (2D) structure from multiple sparse signal images in random orientation. The detailed derivation of EM algorithm…

数据分析、统计与概率 · 物理学 2017-01-12 Yun Zhao

Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the…

机器学习 · 统计学 2025-06-19 David Silva-Sánchez , Roy R. Lederman

Blind estimation of intersymbol interference channels based on the Baum-Welch (BW) algorithm, a specific implementation of the expectation-maximization (EM) algorithm for training hidden Markov models, is robust and does not require labeled…

信号处理 · 电气工程与系统科学 2025-04-15 Chin-Hung Chen , Boris Karanov , Ivana Nikoloska , Wim van Houtum , Yan Wu , Alex Alvarado

The directional mean shift (DMS) algorithm is a nonparametric method for pursuing local modes of densities defined by kernel density estimators on the unit hypersphere. In this paper, we show that any DMS iteration can be viewed as a…

统计理论 · 数学 2021-01-26 Yikun Zhang , Yen-Chi Chen

Squeezed light enables quantum-enhanced phase estimation, with crucial applications in both fundamental physics and emerging technologies. To fully exploit the advantage provided by this approach, estimation protocols must remain optimal…

量子物理 · 物理学 2025-10-17 Giorgio Minati , Enrico Urbani , Nicolò Spagnolo , Valeria Cimini , Fabio Sciarrino

Non-linear systems of differential equations have attracted the interest in fields like system biology, ecology or biochemistry, due to their flexibility and their ability to describe dynamical systems. Despite the importance of such models…

统计方法学 · 统计学 2014-05-09 Javier González , Ivan Vujačić , Ernst Wit

Estimation of the mean and covariance functions is a fundamental problem in functional data analysis, particularly for discretely observed functional data. In this work, we study a regularization-based framework for estimating the mean and…

统计理论 · 数学 2026-03-20 Naveen Gupta , Bharath K Sriperumbudur

We explore a method of statistical estimation called Maximum Entropy on the Mean (MEM) which is based on an information-driven criterion that quantifies the compliance of a given point with a reference prior probability measure. At the core…

This paper presents a fast computational method, the Expectation Maximization algorithm, for Maximum Likelihood (ML) estimation in diffusion tensor imaging under the Rice noise model. We further extend the ML framework to the maximum a…

统计计算 · 统计学 2015-01-09 Jia Liu , Dario Gasbarra , Juha Railavo

In this paper we propose a smoothing turbo equalizer based on the expectation propagation (EP) algorithm with quite improved performance compared to the Kalman smoother, at similar complexity. In scenarios where high-order modulations…

信号处理 · 电气工程与系统科学 2019-02-05 Irene Santos , Juan José Murillo-Fuentes , Eva Arias-de-Reyna

This paper revisits the fundamental equations for the solution of the frictionless unilateral normal contact problem between a rough rigid surface and a linear elastic half-plane using the boundary element method (BEM). After recasting the…

材料科学 · 物理学 2015-06-02 A. Bemporad , M. Paggi

Phase estimation protocols provide a fundamental benchmark for the field of quantum metrology. The latter represents one of the most relevant applications of quantum theory, potentially enabling the capability of measuring unknown physical…

Multiple instruments are pursuing constraints on dark energy, observing reionization and opening a window on the dark ages through the detection and characterization of the 21cm hydrogen line across the redshift spectrum, from nearby to…

天体物理仪器与方法 · 物理学 2016-10-11 Daniel C. Jacobs , Jacob Burba , Judd Bowman , Abraham R. Neben , Benjamin Stinnett , Lauren Turner
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