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相关论文: Expectation maximization as message passing

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The expectation-maximization (EM) algorithm and its variants are widely used in statistics. In high-dimensional mixture linear regression, the model is assumed to be a finite mixture of linear regression and the number of predictors is much…

统计理论 · 数学 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

The Expectation-Maximization (EM) algorithm is an iterative method to maximize the log-likelihood function for parameter estimation. Previous works on the convergence analysis of the EM algorithm have established results on the asymptotic…

统计理论 · 数学 2017-05-31 Chong Wu , Can Yang , Hongyu Zhao , Ji Zhu

This paper considers an approximate dynamic matrix factor model that accounts for the time series nature of the data by explicitly modelling the time evolution of the factors. We study estimation of the model parameters based on the…

统计方法学 · 统计学 2026-01-08 Matteo Barigozzi , Luca Trapin

In this paper we develop an Expectation Maximization(EM) algorithm to estimate the parameter of a Yule-Simon distribution. The Yule-Simon distribution exhibits the "rich get richer" effect whereby an 80-20 type of rule tends to dominate.…

统计计算 · 统计学 2020-11-17 Lucas Roberts , Denisa Roberts

This paper deals with parameter estimation when the data are randomly right censored. The maximum likelihood estimates from censored samples are obtained by using the expectation-maximization (EM) and Monte Carlo EM (MCEM) algorithms. We…

统计计算 · 统计学 2012-03-20 Chanseok Park , Seong Beom Lee

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

机器学习 · 统计学 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

The Mixture Transition Distribution (MTD) model was introduced by Raftery to face the need for parsimony in the modeling of high-order Markov chains in discrete time. The particularity of this model comes from the fact that the effect of…

统计计算 · 统计学 2008-12-18 Sophie Lèbre , Pierre-Yves Bourguinon

We propose to learn a kernel-based message operator which takes as input all expectation propagation (EP) incoming messages to a factor node and produces an outgoing message. In ordinary EP, computing an outgoing message involves estimating…

机器学习 · 统计学 2015-03-11 Wittawat Jitkrittum , Arthur Gretton , Nicolas Heess

Clustering algorithms are a cornerstone of machine learning applications. Recently, a quantum algorithm for clustering based on the k-means algorithm has been proposed by Kerenidis, Landman, Luongo and Prakash. Based on their work, we…

量子物理 · 物理学 2020-01-23 Hideyuki Miyahara , Kazuyuki Aihara , Wolfgang Lechner

In this paper, we generalize a recently introduced Expectation Maximization (EM) method for graphs and apply it to content-based networks. The EM method provides a classification of the nodes of a graph, and allows to infer relations…

物理与社会 · 物理学 2009-11-13 Jose J. Ramasco , Muhittin Mungan

The EM (Expectation-Maximization) algorithm is regarded as an MM (Majorization-Minimization) algorithm for maximum likelihood estimation of statistical models. Expanding this view, this paper demonstrates that by choosing an appropriate…

最优化与控制 · 数学 2026-02-12 Kensuke Asai , Jun-ya Gotoh

This paper proposes maximum (quasi)likelihood estimation for high dimensional factor models with regime switching in the loadings. The model parameters are estimated jointly by the EM (expectation maximization) algorithm, which in the…

计量经济学 · 经济学 2023-04-11 Giovanni Urga , Fa Wang

In this paper we formulate the nonnegative matrix factorisation (NMF) problem as a maximum likelihood estimation problem for hidden Markov models and propose online expectation-maximisation (EM) algorithms to estimate the NMF and the other…

机器学习 · 计算机科学 2014-01-14 Sinan Yildirim , A. Taylan Cemgil , Sumeetpal S. Singh

The expectation-maximization (EM) algorithm is a well-known iterative method for computing maximum likelihood estimates from incomplete data. Despite its numerous advantages, a main drawback of the EM algorithm is its frequently observed…

统计计算 · 统计学 2018-08-14 Nicholas C. Henderson , Ravi Varadhan

We investigate the application of the factor graph framework for blind joint channel estimation and symbol detection on time-variant linear inter-symbol interference channels. In particular, we consider the expectation maximization (EM)…

信息论 · 计算机科学 2025-02-04 Luca Schmid , Tomer Raviv , Nir Shlezinger , Laurent Schmalen

The max-product algorithm, a local message-passing scheme that attempts to compute the most probable assignment (MAP) of a given probability distribution, has been successfully employed as a method of approximate inference for applications…

信息论 · 计算机科学 2014-01-07 Nicholas Ruozzi , Sekhar Tatikonda

A new approach for signal parametrization, which consists of a specific regression model incorporating a discrete hidden logistic process, is proposed. The model parameters are estimated by the maximum likelihood method performed by a…

统计方法学 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Gérard Govaert , Patrice Aknin

Expectation Maximization (EM) is among the most popular algorithms for maximum likelihood estimation, but it is generally only guaranteed to find its stationary points of the log-likelihood objective. The goal of this article is to present…

机器学习 · 计算机科学 2018-10-29 Ji Xu , Daniel Hsu , Arian Maleki

Expectation Propagation (EP) is a widely used message-passing algorithm that decomposes a global inference problem into multiple local ones. It approximates marginal distributions (beliefs) using intermediate functions (messages). While…

信息论 · 计算机科学 2026-01-30 Zilu Zhao , Fangqing Xiao , Dirk Slock

Expectation Maximization (EM) is the standard method to learn Gaussian mixtures. Yet its classic, centralized form is often infeasible, due to privacy concerns and computational and communication bottlenecks. Prior work dealt with data…

机器学习 · 计算机科学 2022-01-26 Pedro Valdeira , Cláudia Soares , João Xavier