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Expectation maximization (EM) is a technique for estimating maximum-likelihood parameters of a latent variable model given observed data by alternating between taking expectations of sufficient statistics, and maximizing the expected log…

Methodology · Statistics 2018-07-10 Donna Henderson , Gerton Lunter

This report presents an Expectation-Maximization (EM) algorithm for estimation of the maximum-likelihood parameter values of constrained multivariate autoregressive Gaussian state-space (MARSS) models. The MARSS model can be written:…

Methodology · Statistics 2013-02-19 Elizabeth E. Holmes

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…

Methodology · Statistics 2026-01-08 Matteo Barigozzi , Luca Trapin

The Extreme Learning Machine (ELM) is a growing statistical technique widely applied to regression problems. In essence, ELMs are single-layer neural networks where the hidden layer weights are randomly sampled from a specific distribution,…

Machine Learning · Statistics 2025-07-31 Daniela De Canditiis , Fabiano Veglianti

We introduce Tree-AMP, standing for Tree Approximate Message Passing, a python package for compositional inference in high-dimensional tree-structured models. The package provides a unifying framework to study several approximate message…

Machine Learning · Statistics 2023-04-19 Antoine Baker , Benjamin Aubin , Florent Krzakala , Lenka Zdeborová

A major challenge for causal inference from time-series data is the trade-off between computational feasibility and accuracy. Motivated by process motifs for lagged covariance in an autoregressive model with slow mean-reversion, we propose…

Machine Learning · Statistics 2025-09-30 Alice C. Schwarze , Sara M. Ichinaga , Bingni W. Brunton

Finite mixture models have been widely used for the modelling and analysis of data from heterogeneous populations. Maximum likelihood estimation of the parameters is typically carried out via the Expectation-Maximization (EM) algorithm. The…

Computation · Statistics 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Uncertainty is ubiquitous in real-world data, and the assumptions underlying classical linear regression models are often violated in practice. Inspired by the theory of sublinear expectation, we consider a linear regression model where the…

Statistics Theory · Mathematics 2026-04-28 Xifeng Li , Shuzhen Yang

Electromigration (EM) is one of the major concerns in the reliability analysis of very large scale integration (VLSI) systems due to the continuous technology scaling. Accurately predicting the time-to-failure of integrated circuits (IC)…

Machine Learning · Computer Science 2022-05-19 Tianshu Hou , Peining Zhen , Ngai Wong , Quan Chen , Guoyong Shi , Shuqi Wang , Hai-Bao Chen

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…

Computation · Statistics 2008-12-18 Sophie Lèbre , Pierre-Yves Bourguinon

Finding the optimal parameter setting (i.e. the optimal population size, the optimal mutation probability, the optimal evolutionary model etc) for an Evolutionary Algorithm (EA) is a difficult task. Instead of evolving only the parameters…

Neural and Evolutionary Computing · Computer Science 2021-09-29 Mihai Oltean , Crina Groşan

Non-homogeneous hidden Markov models (NHHMM) are a subclass of dependent mixture models used for semi-supervised learning, where both transition probabilities between the latent states and mean parameter of the probability distribution of…

Machine Learning · Statistics 2019-12-23 Aliaksandr Hubin

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…

Optimization and Control · Mathematics 2026-02-12 Kensuke Asai , Jun-ya Gotoh

We consider efficient estimation of flexible transformation models with interval-censored data. To reduce the dimension of semi-parametric models, the unknown monotone transformation function is approximated via monotone splines. A…

Methodology · Statistics 2019-12-30 Minggen Lu , Yan Liu , Chin-Shang Li , Jianguo Sun

To deal with very large datasets a mini-batch version of the Monte Carlo Markov Chain Stochastic Approximation Expectation-Maximization algorithm for general latent variable models is proposed. For exponential models the algorithm is shown…

Computation · Statistics 2023-08-30 Tabea Rebafka , Estelle Kuhn , Catherine Matias

The expectation-maximization (EM) algorithm is a powerful computational technique for finding the maximum likelihood estimates for parametric models when the data are not fully observed. The EM is best suited for situations where the…

Computation · Statistics 2018-05-14 Chanseok Park

We develop a forward-reverse EM (FREM) algorithm for estimating parameters that determine the dynamics of a discrete time Markov chain evolving through a certain measurable state space. As a key tool for the construction of the FREM method…

Statistics Theory · Mathematics 2015-01-29 Christian Bayer , Hilmar Mai , John Schoenmakers

Hidden Markov jump processes are an attractive approach for modeling clinical disease progression data because they are explainable and capable of handling both irregularly sampled and noisy data. Most applications in this context consider…

Methodology · Statistics 2019-10-15 Rui Meng , Soper Braden , Jan Nygard , Mari Nygrad , Herbert Lee

Understanding how the time-complexity of evolutionary algorithms (EAs) depend on their parameter settings and characteristics of fitness landscapes is a fundamental problem in evolutionary computation. Most rigorous results were derived…

Neural and Evolutionary Computing · Computer Science 2016-10-28 Dogan Corus , Duc-Cuong Dang , Anton V. Eremeev , Per Kristian Lehre

Fault tree analysis is a well-known technique in reliability engineering and risk assessment, which supports decision-making processes and the management of complex systems. Traditionally, fault tree (FT) models are built manually together…

Neural and Evolutionary Computing · Computer Science 2022-04-11 Lisandro A. Jimenez-Roa , Tom Heskes , Tiedo Tinga , Marielle Stoelinga