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A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

Machine Learning · Computer Science 2014-08-12 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

Machine Learning · Statistics 2013-03-25 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

We propose a mixture of latent trait models with common slope parameters (MCLT) for model-based clustering of high-dimensional binary data, a data type for which few established methods exist. Recent work on clustering of binary data, based…

Methodology · Statistics 2017-10-09 Yang Tang , Ryan P. Browne , Paul D. McNicholas

This paper develops a clustering method that takes advantage of the sturdiness of model-based clustering, while attempting to mitigate some of its pitfalls. First, we note that standard model-based clustering likely leads to the same number…

Machine Learning · Statistics 2022-12-09 Miguel de Carvalho , Gabriel Martos Venturini , Andrej Svetlošák

Because of its mathematical tractability, the Gaussian mixture model holds a special place in the literature for clustering and classification. For all its benefits, however, the Gaussian mixture model poses problems when the data is skewed…

Applications · Statistics 2020-11-19 Michael P. B. Gallaugher , Paul D. McNicholas , Volodymyr Melnykov , Xuwen Zhu

The study introduces a new analysis scheme to analyze trace data and visualize students' self-regulated learning strategies in a mastery-based online learning modules platform. The pedagogical design of the platform resulted in fewer event…

Physics Education · Physics 2021-12-06 Tom Zhang , Michelle Taub , Zhongzhou Chen

Statistical modelling in the presence of data organized in groups is a crucial task in Bayesian statistics. The present paper conceives a mixture model based on a novel family of Bayesian priors designed for multilevel data and obtained by…

Methodology · Statistics 2024-07-01 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

We propose a statistical method for clustering of multivariate longitudinal data into homogeneous groups. This method relies on a time-varying extension on the classical K-means algorithm, where a multivariate vector autoregressive model is…

Methodology · Statistics 2014-04-25 Antonello Maruotti , Maurizio Vichi

Clustering is viewed as an unsupervised technique, but in practice it requires guidance to uncover meaningful structures. We formalize this with guided clustering, a paradigm that uses a guiding variable to steer the discovery process, and…

Methodology · Statistics 2026-04-08 Violaine Courrier , Christophe Biernacki

We describe and analyze a broad class of mixture models for real-valued multivariate data in which the probability density of observations within each component of the model is represented as an arbitrary combination of basis functions.…

Methodology · Statistics 2025-02-28 M. E. J. Newman

Deep learning methods are primarily proposed for supervised learning of images or text with limited applications to clustering problems. In contrast, tabular data with heterogeneous features pose unique challenges in representation…

Machine Learning · Computer Science 2024-05-20 Shourav B. Rabbani , Ivan V. Medri , Manar D. Samad

Despite its popularity, it is widely recognized that the investigation of some theoretical aspects of clustering has been relatively sparse. One of the main reasons for this lack of theoretical results is surely the fact that, whereas for…

Statistics Theory · Mathematics 2015-12-11 José E. Chacón

With the rapid development of online social media, online shopping sites and cyber-physical systems, heterogeneous information networks have become increasingly popular and content-rich over time. In many cases, such networks contain…

Databases · Computer Science 2012-02-01 Yizhou Sun , Charu C. Aggarwal , Jiawei Han

The paper describes clustering problems from the combinatorial viewpoint. A brief systemic survey is presented including the following: (i) basic clustering problems (e.g., classification, clustering, sorting, clustering with an order over…

Artificial Intelligence · Computer Science 2015-06-01 Mark Sh. Levin

We consider model-based clustering methods for continuous, correlated data that account for external information available in the presence of mixed-type fixed covariates by proposing the MoEClust suite of models. These models allow…

Methodology · Statistics 2021-07-15 Keefe Murphy , Thomas Brendan Murphy

Panel data analysis is an important topic in statistics and econometrics. Traditionally, in panel data analysis, all individuals are assumed to share the same unknown parameters, e.g. the same coefficients of covariates when the linear…

Statistics Theory · Mathematics 2017-06-09 Heng Lian , Xinghao Qiao , Wenyang Zhang

Group tendency is a research branch of computer assisted learning. The construction of good learning behavior is of great significance to learners' learning process and learning effect, and is the key basis of data-driven education…

Machine Learning · Computer Science 2020-10-09 Xiaona Xia

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

In collaborative learning, learners coordinate to enhance each of their learning performances. From the perspective of any learner, a critical challenge is to filter out unqualified collaborators. We propose a framework named meta…

Machine Learning · Computer Science 2022-09-29 Chenglong Ye , Reza Ghanadan , Jie Ding

When considering answering important questions with data, unsupervised data offers extensive insight opportunity and unique challenges. This study considers student survey data with a specific goal of clustering students into like groups…

Computers and Society · Computer Science 2018-12-14 Kathleen Campbell Garwood , Ph. D. , Arpit Arun Dhobale