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The family of Expectation-Maximization (EM) algorithms provides a general approach to fitting flexible models for large and complex data. The expectation (E) step of EM-type algorithms is time-consuming in massive data applications because…

统计计算 · 统计学 2018-06-21 Sanvesh Srivastava , Glen DePalma , Chuanhai Liu

The expectation-maximization (EM) algorithm introduced by Dempster et al in 1977 is a very general method to solve maximum likelihood estimation problems. In this informal report, we review the theory behind EM as well as a number of EM…

统计计算 · 统计学 2012-09-10 Alexis Roche

Spatial generalized linear mixed models (SGLMMs) are popular and flexible models for non-Gaussian spatial data. They are useful for spatial interpolations as well as for fitting regression models that account for spatial dependence, and are…

统计方法学 · 统计学 2021-10-26 Yawen Guan , Murali Haran

Recently, a so-called E-MS algorithm was developed for model selection in the presence of missing data. Specifically, it performs the Expectation step (E step) and Model Selection step (MS step) alternately to find the minimum point of the…

统计方法学 · 统计学 2021-06-22 Ping-Feng Xu , Lai-Xu Shang , Man-Lai Tang , Na Shan , Guoliang Tian

Parametric nonlinear mixed effects models (NLMEs) are now widely used in biometrical studies, especially in pharmacokinetics research and HIV dynamics models, due to, among other aspects, the computational advances achieved during the last…

统计方法学 · 统计学 2012-02-03 Ana Arribas-Gil , Karine Bertin , Cristian Meza , Vincent Rivoirard

Finite mixtures of matrix normal distributions are a powerful tool for classifying three-way data in unsupervised problems. The distribution of each component is assumed to be a matrix variate normal density. The mixture model can be…

统计方法学 · 统计学 2013-03-07 Cinzia Viroli

In this contribution, we propose a generic online (also sometimes called adaptive or recursive) version of the Expectation-Maximisation (EM) algorithm applicable to latent variable models of independent observations. Compared to the…

统计计算 · 统计学 2017-03-02 Olivier Cappé , Eric Moulines

Extreme learning machine (ELM) as a neural network algorithm has shown its good performance, such as fast speed, simple structure etc, but also, weak robustness is an unavoidable defect in original ELM for blended data. We present a new…

机器学习 · 计算机科学 2014-09-24 Bo Han , Bo He , Rui Nian , Mengmeng Ma , Shujing Zhang , Minghui Li , Amaury Lendasse

Latent variable models (LVMs) with discrete compositional latents are an important but challenging setting due to a combinatorially large number of possible configurations of the latents. A key tradeoff in modeling the posteriors over…

机器学习 · 计算机科学 2023-06-06 Edward J. Hu , Nikolay Malkin , Moksh Jain , Katie Everett , Alexandros Graikos , Yoshua Bengio

Mixtures of linear mixed models (MLMMs) are useful for clustering grouped data and can be estimated by likelihood maximization through the EM algorithm. The conventional approach to determining a suitable number of components is to compare…

应用统计 · 统计学 2014-05-26 Siew Li Tan , David J. Nott

In this paper, Bayesian parameter estimation through the consideration of the Maximum A Posteriori (MAP) criterion is revisited under the prism of the Expectation-Maximization (EM) algorithm. By incorporating a sparsity-promoting penalty…

系统与控制 · 计算机科学 2015-08-06 Rodrigo Carvajal , Juan C. Agüero , Boris I. Godoy , Dimitrios Katselis

We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or…

机器学习 · 统计学 2018-04-04 Abubakar Abid , James Zou

Extreme learning machine (ELM), proposed by Huang et al., has been shown a promising learning algorithm for single-hidden layer feedforward neural networks (SLFNs). Nevertheless, because of the random choice of input weights and biases, the…

神经与进化计算 · 计算机科学 2014-09-16 Yuguang Wang , Feilong Cao , Yubo Yuan

We generalize the Safe Extremum Seeking algorithm to address the minimization of an unknown objective function subject to multiple unknown inequality and equality constraints, relying on recent results of gradient flow systems. These…

最优化与控制 · 数学 2025-10-09 Alan Williams , Jorge Cortés , Alexander Scheinker

Linear Mixed-Effects (LME) models are a fundamental tool for modeling clustered data, including cohort studies, longitudinal data analysis, and meta-analysis. The design and analysis of variable selection methods for LMEs is considerably…

统计方法学 · 统计学 2022-09-28 Aleksandr Aravkin , James Burke , Aleksei Sholokhov , Peng Zheng

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

Endmember variability is an important factor for accurately unveiling vital information relating the pure materials and their distribution in hyperspectral images. Recently, the extended linear mixing model (ELMM) has been proposed as a…

计算机视觉与模式识别 · 计算机科学 2017-10-24 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

In an effort to develop topic modeling methods that can be quickly applied to large data sets, we revisit the problem of maximum-likelihood estimation in topic models. It is known, at least informally, that maximum-likelihood estimation in…

机器学习 · 统计学 2026-02-10 Peter Carbonetto , Abhishek Sarkar , Zihao Wang , Matthew Stephens

The expectation--maximization (EM) algorithm combines global monotonicity, local linear convergence, and strong practical robustness, but these features are usually analyzed separately. Global descent is nonlinear, whereas local convergence…

机器学习 · 统计学 2026-05-11 Qiao Wang

Meta-analytical models are typically formulated as a mixed-effects model where the sampling variances of the effect sizes are treated as known. In principle, such models could be fitted with standard mixed-modelling software such as the…