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This paper introduces a novel model-based clustering approach for clustering time series which present changes in regime. It consists of a mixture of polynomial regressions governed by hidden Markov chains. The underlying hidden process for…

机器学习 · 统计学 2013-12-30 Faicel Chamroukhi , Allou Samé , Patrice Aknin , Gérard Govaert

Any clustering algorithm must synchronously learn to model the clusters and allocate data to those clusters in the absence of labels. Mixture model-based methods model clusters with pre-defined statistical distributions and allocate data to…

Model-based clustering approaches concern the paradigm of exploratory data analysis relying on the finite mixture model to automatically find a latent structure governing observed data. They are one of the most popular and successful…

统计方法学 · 统计学 2014-04-29 Faicel Chamroukhi

Modern data-driven and distributed learning frameworks deal with diverse massive data generated by clients spread across heterogeneous environments. Indeed, data heterogeneity is a major bottleneck in scaling up many distributed learning…

机器学习 · 计算机科学 2023-08-23 Amirhossein Reisizadeh , Khashayar Gatmiry , Asuman Ozdaglar

Mixture models serve as one fundamental tool with versatile applications. However, their training techniques, like the popular Expectation Maximization (EM) algorithm, are notoriously sensitive to parameter initialization and often suffer…

机器学习 · 计算机科学 2023-12-20 Yulai Cong , Sijia Li

Clustering is an unsupervised learning method that constitutes a cornerstone of an intelligent data analysis process. It is used for the exploration of inter-relationships among a collection of patterns, by organizing them into homogeneous…

机器学习 · 计算机科学 2010-04-13 G. Nathiya , S. C. Punitha , M. Punithavalli

With the increase of distance learning, in general, and e-learning, in particular, having a system capable of determining the engagement of students is of primordial importance, and one of the biggest challenges, both for teachers,…

Expectation-Maximization (EM) is a prominent approach for parameter estimation of hidden (aka latent) variable models. Given the full batch of data, EM forms an upper-bound of the negative log-likelihood of the model at each iteration and…

机器学习 · 计算机科学 2020-02-24 Ehsan Amid , Manfred K. Warmuth

Mixture model-based clustering, usually applied to multidimensional data, has become a popular approach in many data analysis problems, both for its good statistical properties and for the simplicity of implementation of the…

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

This paper considers a joint multi-graph inference and clustering problem for simultaneous inference of node centrality and association of graph signals with their graphs. We study a mixture model of filtered low pass graph signals with…

机器学习 · 统计学 2023-02-15 Yiran He , Hoi-To Wai

We consider the problem of clustering with $K$-means and Gaussian mixture models with a constraint on the separation between the centers in the context of real-valued data. We first propose a dynamic programming approach to solving the…

统计计算 · 统计学 2023-01-24 He Jiang , Ery Arias-Castro

In this paper, we firstly give a brief introduction of expectation maximization (EM) algorithm, and then discuss the initial value sensitivity of expectation maximization algorithm. Subsequently, we give a short proof of EM's convergence.…

机器学习 · 计算机科学 2013-05-06 Fuqiang Chen

We examine methods for clustering in high dimensions. In the first part of the paper, we perform an experimental comparison between three batch clustering algorithms: the Expectation-Maximization (EM) algorithm, a winner take all version of…

机器学习 · 计算机科学 2015-05-19 Marina Meila , David Heckerman

Heterogeneity has been a hot topic in recent educational literature. Several calls have been voiced to adopt methods that capture different patterns or subgroups within students behavior or functioning. Assuming that there is an average…

统计方法学 · 统计学 2023-06-13 Luca Scrucca , Mohammed Saqr , Sonsoles López-Pernas , Keefe Murphy

The Expectation-Maximization (EM) algorithm is a commonly used method for finding the maximum likelihood estimates of the parameters in a mixture model via coordinate ascent. A serious pitfall with the algorithm is that in the case of…

统计计算 · 统计学 2018-08-31 Adrian O'Hagan , Arthur White

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

统计方法学 · 统计学 2020-01-22 Mirko Signorelli , Ernst Wit

This study presents a semi-nonparametric Latent Class Choice Model (LCCM) with a flexible class membership component. The proposed model formulates the latent classes using mixture models as an alternative approach to the traditional random…

计量经济学 · 经济学 2023-08-07 Georges Sfeir , Maya Abou-Zeid , Filipe Rodrigues , Francisco Camara Pereira , Isam Kaysi

Recently, Expectation-maximization (EM) algorithm has been introduced as an effective means to solve multi-view registration problem. Most of the previous methods assume that each data point is drawn from the Gaussian Mixture Model (GMM),…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Yanlin Ma , Jihua Zhu , Zhongyu Li , Zhiqiang Tian , Yaochen Li

Partially recorded data are frequently encountered in many applications and usually clustered by first removing incomplete cases or features with missing values, or by imputing missing values, followed by application of a clustering…

统计方法学 · 统计学 2021-10-20 Emily M. Goren , Ranjan Maitra

The present work proposes hybridization of Expectation-Maximization (EM) and K-Means techniques as an attempt to speed-up the clustering process. Though both K-Means and EM techniques look into different areas, K-means can be viewed as an…

机器学习 · 计算机科学 2016-03-28 D. Raja Kishor , N. B. Venkateswarlu
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