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As data sets continue to grow in size and complexity, effective and efficient techniques are needed to target important features in the variable space. Many of the variable selection techniques that are commonly used alongside clustering…

Computation · Statistics 2013-03-22 Jeffrey L. Andrews , Paul D. McNicholas

Relevant methods of variable selection have been proposed in model-based clustering and classification. These methods are making use of backward or forward procedures to define the roles of the variables. Unfortunately, these stepwise…

Computation · Statistics 2017-05-03 Gilles Celeux , Cathy Maugis-Rabusseau , Mohammed Sedki

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

Methodology · Statistics 2016-12-23 Marbac Matthieu , Sedki Mohammed

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

Machine Learning · Statistics 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

The literature on clustering for continuous data is rich and wide; differently, that one developed for categorical data is still limited. In some cases, the problem is made more difficult by the presence of noise variables/dimensions that…

Methodology · Statistics 2015-04-14 Monia Ranalli , Roberto Rocci

The performance (accuracy and robustness) of several clustering algorithms is studied for linearly dependent random variables in the presence of noise. It turns out that the error percentage quickly increases when the number of observations…

Applications · Statistics 2009-11-13 Pamela Minicozzi , Fabio Rapallo , Enrico Scalas , Francesco Dondero

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…

Computation · Statistics 2017-03-08 Matthieu Marbac , Mohammed Sedki

Data analysis plays an indispensable role for value creation in industry. Cluster analysis in this context is able to explore given datasets with little or no prior knowledge and to identify unknown patterns. As (big) data complexity…

Machine Learning · Computer Science 2021-06-25 Marc Wegmann , Domenique Zipperling , Jonas Hillenbrand , Jürgen Fleischer

Compared to supervised variable selection, the research on unsupervised variable selection is far behind. A forward partial-variable clustering full-variable loss (FPCFL) method is proposed for the corresponding challenges. An advantage is…

Methodology · Statistics 2024-12-02 Tonglin Zhang , Huyunting Huang

This article investigates unsupervised classification techniques for categorical multivariate data. The study employs multivariate multinomial mixture modeling, which is a type of model particularly applicable to multilocus genotypic data.…

Statistics Theory · Mathematics 2014-03-11 Dominique Bontemps , Wilson Toussile

In this article, we introduce a procedure for selecting variables in principal components analysis. The procedure was developed to identify a small subset of the original variables that best explain the principal components through…

Statistics Theory · Mathematics 2017-01-31 Yanina Gimenez , Guido Giussani

In cluster analysis, it can be useful to interpret the partition built from the data in the light of external categorical variables which were not directly involved to cluster the data. An approach is proposed in the model-based clustering…

Cluster analysis methods are used to identify homogeneous subgroups in a data set. In biomedical applications, one frequently applies cluster analysis in order to identify biologically interesting subgroups. In particular, one may wish to…

Methodology · Statistics 2016-09-23 Sheila Gaynor , Eric Bair

Model-based clustering is a popular approach for clustering multivariate data which has seen applications in numerous fields. Nowadays, high-dimensional data are more and more common and the model-based clustering approach has adapted to…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy

Standard approaches to tackle high-dimensional supervised classification problem often include variable selection and dimension reduction procedures. The novel methodology proposed in this paper combines clustering of variables and feature…

Statistics Theory · Mathematics 2018-11-07 Marie Chavent , Robin Genuer , Jerome Saracco

In real-world application scenarios, the identification of groups poses a significant challenge due to possibly occurring outliers and existing noise variables. Therefore, there is a need for a clustering method which is capable of…

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

Methodology · Statistics 2014-07-11 Eric Bair

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

Variable selection is a procedure to attain the truly important predictors from inputs. Complex nonlinear dependencies and strong coupling pose great challenges for variable selection in high-dimensional data. In addition, real-world…

Methodology · Statistics 2023-07-04 Keyao Wang , Huiwen Wang , Jichang Zhao , Lihong Wang

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables, corrupted by the random noise. The entire clustering task…

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