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The learning of mixture models can be viewed as a clustering problem. Indeed, given data samples independently generated from a mixture of distributions, we often would like to find the {\it correct target clustering} of the samples…

机器学习 · 统计学 2022-08-26 Zhaoqiang Liu , Vincent Y. F. Tan

Mixtures of Hidden Markov Models (MHMMs) are frequently used for clustering of sequential data. An important aspect of MHMMs, as of any clustering approach, is that they can be interpretable, allowing for novel insights to be gained from…

人工智能 · 计算机科学 2021-03-24 Negar Safinianaini , Henrik Boström

Deep clustering algorithms combine representation learning and clustering by jointly optimizing a clustering loss and a non-clustering loss. In such methods, a deep neural network is used for representation learning together with a…

机器学习 · 计算机科学 2020-06-09 Abien Fred Agarap , Arnulfo P. Azcarraga

The analysis of log data generated by online educational systems is an important task for improving the systems, and furthering our knowledge of how students learn. This paper uses previously unseen log data from Edulab, the largest…

计算机与社会 · 计算机科学 2017-08-15 Christian Hansen , Casper Hansen , Niklas Hjuler , Stephen Alstrup , Christina Lioma

The widespread adoption of online courses opens opportunities for the analysis of learner behaviour and for the optimisation of web-based material adapted to observed usage. Here we introduce a mathematical framework for the analysis of…

社会与信息网络 · 计算机科学 2019-07-17 Robert L. Peach , Sophia N. Yaliraki , David Lefevre , Mauricio Barahona

This paper deals with the problem of clustering data returned by a radar sensor network that monitors a region where multiple moving targets are present. The network is formed by nodes with limited functionalities that transmit the…

信号处理 · 电气工程与系统科学 2024-05-07 Linjie Yan , Pia Addabbo , Nicomino Fiscante , Carmine Clemente , Chengpeng Hao , Gaetano Giunta , Danilo Orlando

The performance of EM in learning mixtures of product distributions often depends on the initialization. This can be problematic in crowdsourcing and other applications, e.g. when a small number of 'experts' are diluted by a large number of…

机器学习 · 统计学 2016-05-31 Vincent Zhao , Steven W. Zucker

We propose two approaches for selecting variables in latent class analysis (i.e.,mixture model assuming within component independence), which is the common model-based clustering method for mixed data. The first approach consists in…

统计计算 · 统计学 2017-03-08 Matthieu Marbac , Mohammed Sedki

Recognition of user interaction, in particular engagement detection, became highly crucial for online working and learning environments, especially during the COVID-19 outbreak. Such recognition and detection systems significantly improve…

计算机视觉与模式识别 · 计算机科学 2022-04-11 Onur Copur , Mert Nakıp , Simone Scardapane , Jürgen Slowack

We propose a modified version of the three-step estimation method for the latent class model with covariates, which may be used to estimate latent Markov models for longitudinal data. The three-step estimation approach we propose is based…

统计方法学 · 统计学 2014-02-06 Francesco Bartolucci , Giorgio E. Montanari , Silvia Pandolfi

Expectation-Maximization (EM) algorithm is a widely used iterative algorithm for computing (local) maximum likelihood estimate (MLE). It can be used in an extensive range of problems, including the clustering of data based on the Gaussian…

机器学习 · 统计学 2023-03-28 Pierre Houdouin , Esa Ollila , Frederic Pascal

Modern scientific studies often collect data sets in the forms of tensors, which call for innovative statistical analysis methods. In particular, there is a pressing need for tensor clustering methods to understand the heterogeneity in the…

统计方法学 · 统计学 2021-04-27 Qing Mai , Xin Zhang , Yuqing Pan , Kai Deng

Engagement is an essential indicator of the Quality-of-Learning Experience (QoLE) and plays a major role in developing intelligent educational interfaces. The number of people learning through Massively Open Online Courses (MOOCs) and other…

计算机视觉与模式识别 · 计算机科学 2022-04-14 Sarthak Batra , Hewei Wang , Avishek Nag , Philippe Brodeur , Marianne Checkley , Annette Klinkert , Soumyabrata Dev

The aim of this study is clustering students according to their gamification user types and learning styles with the purpose of providing instructors with a new perspective of grouping students in case of clustering which cannot be done by…

机器学习 · 计算机科学 2023-10-24 Emre Arslan , Atilla Özkaymak , Nesrin Özdener Dönmez

Cognitive diagnosis models (CDMs) are a popular tool for assessing students' mastery of sets of skills. Given a set of $K$ skills tested on an assessment, students are classified into one of $2^K$ latent skill set profiles that represent…

应用统计 · 统计学 2021-04-07 Alan Mishler , Rebecca Nugent

To accelerate learning process with few samples, meta-learning resorts to prior knowledge from previous tasks. However, the inconsistent task distribution and heterogeneity is hard to be handled through a global sharing model…

机器学习 · 计算机科学 2022-06-22 Geng Li , Boyuan Ren , Hongzhi Wang

Modeling of high-dimensional data is very important to categorize different classes. We develop a new mixture model called Multinomial cluster-weighted model (MCWM). We derive the identifiability of a general class of MCWM. We estimate the…

统计方法学 · 统计学 2022-08-25 Kehinde Olobatuyi , Oludare Ariyo

Variational autoencoder (VAE) and generative adversarial networks (GAN) have found widespread applications in clustering and have achieved significant success. However, the potential of these approaches may be limited due to VAE's mediocre…

机器学习 · 计算机科学 2023-12-14 Jie Yan , Jing Liu , Zhong-yuan Zhang

Finite mixture modelling is a popular method in the field of clustering and is beneficial largely due to its soft cluster membership probabilities. A common method for fitting finite mixture models is to employ spectral clustering, which…

机器学习 · 统计学 2024-03-22 Liam Welsh , Phillip Shreeves

Student engagement is an important factor in meeting the goals of virtual learning programs. Automatic measurement of student engagement provides helpful information for instructors to meet learning program objectives and individualize…

计算机视觉与模式识别 · 计算机科学 2023-02-07 Ali Abedi , Shehroz S. Khan