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In a mixture of linear regression model, the regression coefficients are treated as random vectors that may follow either a continuous or discrete distribution. We propose two Expectation-Maximization (EM) algorithms to estimate this prior…

Methodology · Statistics 2025-10-17 Andrew Welbaum , Wanli Qiao

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

Machine Learning · Statistics 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

Measuring online behavioural student engagement often relies on simple count indicators or retrospective, predictive methods, which present challenges for real-time application. To address these limitations, we reconceptualise an existing…

Computers and Society · Computer Science 2025-07-17 Laura J. Johnston , Jim E. Griffin , Ioanna Manolopoulou , Takoua Jendoubi

Understanding and enhancing student engagement through digital platforms is critical in higher education. This study introduces a methodology for quantifying engagement across an entire module using virtual learning environment (VLE)…

Computers and Society · Computer Science 2024-12-17 Laura J. Johnston , Jim E. Griffin , Ioanna Manolopoulou , Takoua Jendoubi

This paper deals with nonparametric estimation of conditional den-sities in mixture models in the case when additional covariates are available. The proposed approach consists of performing a prelim-inary clustering algorithm on the…

Statistics Theory · Mathematics 2015-02-09 Stéphane Auray , Nicolas Klutchnikoff , Laurent Rouvière

Simplified categorizations have often led to college students being labeled as full-time or part-time students. However, at many universities student enrollment patterns can be much more complicated, as it is not uncommon for students to…

Physics Education · Physics 2020-11-10 Shahab Boumi , Adan Vela , Jacquelyn Chini

We extend the linear mixed-effects state model to accommodate the correlated individuals and investigate its parameter and state estimation based on disturbance smoothing in this paper. For parameter estimation, EM and score based…

Methodology · Statistics 2014-09-03 Jie Zhou , Aiping Tang

Engagement is a key indicator of the quality of learning experience, and one that plays a major role in developing intelligent educational interfaces. Any such interface requires the ability to recognise the level of engagement in order to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Omid Mohamad Nezami , Mark Dras , Len Hamey , Deborah Richards , Stephen Wan , Cecile Paris

We present MIX'EM, a novel solution for unsupervised image classification. MIX'EM generates representations that by themselves are sufficient to drive a general-purpose clustering algorithm to deliver high-quality classification. This is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Ali Varamesh , Tinne Tuytelaars

Finite mixture models have been used for unsupervised learning for some time, and their use within the semi-supervised paradigm is becoming more commonplace. Clickstream data is one of the various emerging data types that demands particular…

Methodology · Statistics 2020-12-17 Michael P. B. Gallaugher , Paul D. McNicholas

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…

Statistics Theory · Mathematics 2023-07-24 Ning Wang , Xin Zhang , Qing Mai

We propose an Anderson Acceleration (AA) scheme for the adaptive Expectation-Maximization (EM) algorithm for unsupervised learning a finite mixture model from multivariate data (Figueiredo and Jain 2002). The proposed algorithm is able to…

Machine Learning · Computer Science 2020-09-29 Truong Nguyen , Guangye Chen , Luis Chacon

The interpretation of unlabeled acoustic emission (AE) data classically relies on general-purpose clustering methods. While several external criteria have been used in the past to select the hyperparameters of those algorithms, few studies…

Machine Learning · Statistics 2022-11-29 Emmanuel Ramasso , Thierry Denoeux , Gael Chevallier

Many studies in educational data mining address specific learner groups, such as first-in-family to attend Higher Education, or focus on differences in characteristics such as gender or ethnicity, with the aim of predicting performance and…

Computers and Society · Computer Science 2022-12-23 Robert D. Macredie , Martin Shepperd , Tommaso Turchi , Terry Young

Mixture models postulate the overall population as a mixture of finite subpopulations with unobserved membership. Fitting mixture models usually requires large sample sizes and combining data from multiple sites can be beneficial. However,…

Methodology · Statistics 2025-12-19 Xiaokang Liu , Rui Duan , Raymond J. Carroll , Yang Ning , Yong Chen

The stochastic block model (SBM) is a mixture model used for the clustering of nodes in networks. It has now been employed for more than a decade to analyze very different types of networks in many scientific fields such as Biology and…

Methodology · Statistics 2014-05-12 E. Côme , P. Latouche

The explosion of Open Educational Resources (OERs) in the recent years creates the demand for scalable, automatic approaches to process and evaluate OERs, with the end goal of identifying and recommending the most suitable educational…

Computers and Society · Computer Science 2020-06-11 Sahan Bulathwela , María Pérez-Ortiz , Aldo Lipani , Emine Yilmaz , John Shawe-Taylor

Correlation and cluster analyses (k-Means, Gaussian Mixture Models) were performed on Generation Z engagement surveys at the workplace. The clustering indicates relations between various factors that describe the engagement of employees.…

General Economics · Economics 2022-01-03 Radosław A. Kycia , Agnieszka Niemczynowicz , Joanna Nieżurawska-Zając

Prediction tasks about students have practical significance for both student and college. Making multiple predictions about students is an important part of a smart campus. For instance, predicting whether a student will fail to graduate…

Machine Learning · Computer Science 2023-09-27 Haobing Liu , Yanmin Zhu , Tianzi Zang , Yanan Xu , Jiadi Yu , Feilong Tang

Student engagement is a key construct for learning and teaching. While most of the literature explored the student engagement analysis on computer-based settings, this paper extends that focus to classroom instruction. To best examine…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Ömer Sümer , Patricia Goldberg , Sidney D'Mello , Peter Gerjets , Ulrich Trautwein , Enkelejda Kasneci
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