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An extension of the latent Markov Rasch model is described for the analysis of binary longitudinal data with covariates when subjects are collected in clusters, e.g. students clustered in classes. For each subject, the latent process is…

应用统计 · 统计学 2012-02-21 Francesco Bartolucci , Fulvia Pennoni , Giorgio Vittadini

Clustering methods are often used in physics education research (PER) to identify subgroups of individuals within a population who share similar response patterns or characteristics. K-means (or k-modes, for categorical data) is one of the…

统计方法学 · 统计学 2026-05-19 Minghui Wang , Meagan Sundstrom , Karen Nylund-Gibson , Marsha Ing

We study the problem of predicting student knowledge acquisition in online courses from clickstream behavior. Motivated by the proliferation of eLearning lecture delivery, we specifically focus on student in-video activity in lectures…

机器学习 · 计算机科学 2021-11-17 Yun-Wei Chu , Elizabeth Tenorio , Laura Cruz , Kerrie Douglas , Andrew S. Lan , Christopher G. Brinton

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

Mixture Markov Model (MMM) is a widely used tool to cluster sequences of events coming from a finite state-space. However the MMM likelihood being multi-modal, the challenge remains in its maximization. Although Expectation-Maximization…

最优化与控制 · 数学 2026-04-16 Priyam Das , Deborshee Sen , Debsurya De , Jue Hou , Zahra S. H. Abad , Nicole Kim , Zongqi Xia , Tianxi Cai

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…

统计计算 · 统计学 2016-06-08 Sharon X Lee , Kaleb L Lee , Geoffrey J McLachlan

Regression mixture models are widely studied in statistics, machine learning and data analysis. Fitting regression mixtures is challenging and is usually performed by maximum likelihood by using the expectation-maximization (EM) algorithm.…

统计方法学 · 统计学 2014-09-25 Faicel Chamroukhi

Expectation maximisation (EM) is an unsupervised learning method for estimating the parameters of a finite mixture distribution. It works by introducing "hidden" or "latent" variables via Baum's auxiliary function $Q$ that allow the joint…

机器学习 · 计算机科学 2022-05-19 Graham W. Pulford

In this paper, we consider the task of clustering a set of individual time series while modeling each cluster, that is, model-based time series clustering. The task requires a parametric model with sufficient flexibility to describe the…

机器学习 · 计算机科学 2023-02-23 Ryohei Umatani , Takashi Imai , Kaoru Kawamoto , Shutaro Kunimasa

Research on cluster analysis for categorical data continues to develop, with new clustering algorithms being proposed. However, in this context, the determination of the number of clusters is rarely addressed. In this paper, we propose a…

统计方法学 · 统计学 2014-09-29 Cláudia Silvestre , Margarida G. M. S. Cardoso , Mário A. T. Figueiredo

Entity Matching (EM) is a core data cleaning task, aiming to identify different mentions of the same real-world entity. Active learning is one way to address the challenge of scarce labeled data in practice, by dynamically collecting the…

数据库 · 计算机科学 2020-03-31 Venkata Vamsikrishna Meduri , Lucian Popa , Prithviraj Sen , Mohamed Sarwat

The Expectation Maximization (EM) algorithm is a versatile tool for model parameter estimation in latent data models. When processing large data sets or data stream however, EM becomes intractable since it requires the whole data set to be…

统计理论 · 数学 2012-10-18 Sylvain Le Corff , Gersende Fort

The Expectation-Maximization (EM) algorithm is one of the most popular methods used to solve the problem of parametric distribution-based clustering in unsupervised learning. In this paper, we propose to analyze a generalized EM (GEM)…

最优化与控制 · 数学 2021-05-19 Sarthak Chatterjee , Orlando Romero , Sérgio Pequito

We consider the problem of inferring an unknown number of clusters in replicated multinomial data. Under a model based clustering point of view, this task can be treated by estimating finite mixtures of multinomial distributions with or…

统计方法学 · 统计学 2023-07-07 Panagiotis Papastamoulis

The hidden Markov model (HMM) is a widely-used generative model that copes with sequential data, assuming that each observation is conditioned on the state of a hidden Markov chain. In this paper, we derive a novel algorithm to cluster HMMs…

机器学习 · 计算机科学 2012-10-26 Emanuele Coviello , Antoni B. Chan , Gert R. G. Lanckriet

In this paper, we introduce a new dataset for student engagement detection and localization. Digital revolution has transformed the traditional teaching procedure and a result analysis of the student engagement in an e-learning environment…

计算机视觉与模式识别 · 计算机科学 2018-06-28 Amanjot Kaur , Aamir Mustafa , Love Mehta , Abhinav Dhall

Expectation maximization (EM) algorithm is to find maximum likelihood solution for models having latent variables. A typical example is Gaussian Mixture Model (GMM) which requires Gaussian assumption, however, natural images are highly…

机器学习 · 计算机科学 2018-12-04 Wentian Zhao , Shaojie Wang , Zhihuai Xie , Jing Shi , Chenliang Xu

Mixture models are a fundamental tool in applied statistics and machine learning for treating data taken from multiple subpopulations. The current practice for estimating the parameters of such models relies on local search heuristics…

机器学习 · 计算机科学 2012-09-07 Animashree Anandkumar , Daniel Hsu , Sham M. Kakade

Educational Data Mining (EDM) is a promising field, where data mining is widely used for predicting students performance. One of the most prevalent and recent challenge that higher education faces today is making students skillfully…

计算机与社会 · 计算机科学 2024-07-25 Pooja Thakar , Anil Mehta , Manisha

The focus of this research was to use Educational Data Mining (EDM) techniques to conduct a quantitative analysis of students interaction with an e-learning system through instructor-led non-graded and graded courses. This exercise is…

计算机与社会 · 计算机科学 2014-12-30 I. P. Ratnapala , R. G. Ragel , S. Deegalla