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Deep learning models have become widely adopted in various domains, but their performance heavily relies on a vast amount of data. Datasets often contain a large number of irrelevant or redundant samples, which can lead to computational…

Audio and Speech Processing · Electrical Eng. & Systems 2023-09-22 Boris Bergsma , Marta Brzezinska , Oleg V. Yazyev , Milos Cernak

Clustering is one of the widely used data mining techniques for medical diagnosis. Clustering can be considered as the most important unsupervised learning technique. Most of the clustering methods group data based on distance and few…

Machine Learning · Computer Science 2012-12-24 K. Dhanalakshmi , H. Hannah Inbarani

We consider clustering based on significance tests for Gaussian Mixture Models (GMMs). Our starting point is the SigClust method developed by Liu et al. (2008), which introduces a test based on the k-means objective (with k = 2) to decide…

Methodology · Statistics 2019-10-08 Purvasha Chakravarti , Sivaraman Balakrishnan , Larry Wasserman

Discrete mixture models provide a well-known basis for effective clustering algorithms, although technical challenges have limited their scope. In the context of gene-expression data analysis, a model is presented that mixes over a finite…

Methodology · Statistics 2012-11-12 Michael A. Newton , Lisa M. Chung

RNA-sequencing (RNA-Seq) has become a powerful technology to characterize gene expression profiles because it is more accurate and comprehensive than microarrays. Although statistical methods that have been developed for microarray data can…

Applications · Statistics 2015-01-29 Kai Dong , Hongyu Zhao , Xiang Wan , Tiejun Tong

Gaussian Mixture models (GMMs) are a powerful tool for clustering, classification and density estimation when clustering structures are embedded in the data. The presence of missing values can largely impact the GMMs estimation process,…

Machine Learning · Statistics 2020-06-05 Alessio Serafini , Thomas Brendan Murphy , Luca Scrucca

The discovery of disease subtypes is an essential step for developing precision medicine, and disease subtyping via omics data has become a popular approach. While promising, subtypes obtained from existing approaches are not necessarily…

Quantitative Methods · Quantitative Biology 2022-03-01 Lingsong Meng , Dorina Avram , George Tseng , Zhiguang Huo

Three-way data structures, characterized by three entities, the units, the variables and the occasions, are frequent in biological studies. In RNA sequencing, three-way data structures are obtained when high-throughput transcriptome…

Methodology · Statistics 2022-06-22 Anjali Silva , Steven J. Rothstein , Paul D. McNicholas , Xiaoke Qin , Sanjeena Subedi

Bayesian clustering typically relies on mixture models, with each component interpreted as a different cluster. After defining a prior for the component parameters and weights, Markov chain Monte Carlo (MCMC) algorithms are commonly used to…

Methodology · Statistics 2024-07-30 Alexander Dombowsky , David B. Dunson

We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial optimization…

We consider the problem of data clustering with unidentified feature quality and when a small amount of labelled data is provided. An unsupervised sparse clustering method can be employed in order to detect the subgroup of features…

Machine Learning · Computer Science 2020-10-20 Avgoustinos Vouros , Eleni Vasilaki

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

The classical k-means clustering, based on distances computed from all data features, cannot be directly applied to incomplete data with missing values. A natural extension of k-means to missing data, namely k-POD, uses only the observed…

Methodology · Statistics 2025-07-17 Xin Guan , Yoshikazu Terada

Model-based clustering of moderate or large dimensional data is notoriously difficult. We propose a model for simultaneous dimensionality reduction and clustering by assuming a mixture model for a set of latent scores, which are then linked…

Methodology · Statistics 2024-06-04 Lorenzo Ghilotti , Mario Beraha , Alessandra Guglielmi

Traditional clustering methods are limited when dealing with huge and heterogeneous groups of gene expression data, which motivates the development of bi-clustering methods. Bi-clustering methods are used to mine bi-clusters whose subsets…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Kaijie Xu , Witold Pedrycz , Zhiwu Li , Yinghui Quan , Weike Nie

Although there is no shortage of clustering algorithms proposed in the literature, the question of the most relevant strategy for clustering compositional data (i.e., data made up of profiles, whose rows belong to the simplex) remains…

Statistics Theory · Mathematics 2018-05-17 Antoine Godichon-Baggioni , Cathy Maugis-Rabusseau , Andrea Rau

The LASSO is a recent technique for variable selection in the regression model \bean y & = & X\beta + z, \eean where $X\in \R^{n\times p}$ and $z$ is a centered gaussian i.i.d. noise vector $\mathcal N(0,\sigma^2I)$. The LASSO has been…

Statistics Theory · Mathematics 2023-12-21 Mohamed Ibrahim Assoweh , Emmanuel Caron , Stéphane Chrétien

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…

Methodology · Statistics 2023-07-07 Panagiotis Papastamoulis

Many common clustering methods cannot be used for clustering multivariate longitudinal data in cases where variables exhibit high autocorrelations. In this article, a copula kernel mixture model (CKMM) is proposed for clustering data of…

Methodology · Statistics 2025-06-23 Xi Zhang , Orla A. Murphy , Paul D. McNicholas

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis