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Co-clustering is a class of unsupervised data analysis techniques that extract the existing underlying dependency structure between the instances and variables of a data table as homogeneous blocks. Most of those techniques are limited to…

Machine Learning · Computer Science 2022-12-23 Aichetou Bouchareb , Marc Boullé , Fabrice Clérot , Fabrice Rossi

Clustering of variables is as a way to arrange variables into homogeneous clusters, i.e., groups of variables which are strongly related to each other and thus bring the same information. These approaches can then be useful for dimension…

Computation · Statistics 2012-12-12 M. Chavent , V. Kuentz , B. Liquet , L. Saracco

Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct application to computations of scattering amplitudes in physics. In this paper, we apply the…

High Energy Physics - Theory · Physics 2026-02-16 Man-Wai Cheung , Pierre-Philippe Dechant , Yang-Hui He , Elli Heyes , Edward Hirst , Jian-Rong Li

An agglomerative clustering of random variables is proposed, where clusters of random variables sharing the maximum amount of multivariate mutual information are merged successively to form larger clusters. Compared to the previous…

Information Theory · Computer Science 2017-02-27 Chung Chan , Ali Al-Bashabsheh , Qiaoqiao Zhou

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

This paper proposes multivariate copula models for hierarchical data. They account for two types of correlation: one is between variables measured on the same unit and the other is a correlation between units in the same cluster. This model…

Methodology · Statistics 2023-04-24 Talagbe Gabin Akpo , Louis-Paul Rivest

In this paper, several two-dimensional clustering scenarios are given. In those scenarios, soft partitioning clustering algorithms (Fuzzy C-means (FCM) and Possibilistic c-means (PCM)) are applied. Afterward, VAT is used to investigate the…

Machine Learning · Computer Science 2019-05-14 Md. Abu Bakr Siddique , Rezoana Bente Arif , Mohammad Mahmudur Rahman Khan , Zahidun Ashrafi

We propose a method for variable selection in discriminant analysis with mixed categorical and continuous variables. This method is based on a criterion that permits to reduce the variable selection problem to a problem of estimating…

Statistics Theory · Mathematics 2017-03-14 Alban Mbina Mbina , Guy Martial Nkiet , Fulgence Eyi Obiang

The simultaneous grouping of rows and columns is an important technique that is increasingly used in large-scale data analysis. In this paper, we present a novel co-clustering method using co-variables in its construction. It is based on a…

Applications · Statistics 2018-12-21 Serge Iovleff , Seydou Syllla , Cheikh Loucoubar

This paper focuses on variable selection for a partially linear single-index varying-coefficient model. A regularized variable selection procedure by combining basis function approximations with SCAD penalty is proposed. It can…

Statistics Theory · Mathematics 2024-12-19 Lijuan Han , Liugen Xue , Junshan Xie

We present a nonparametric method for selecting informative features in high-dimensional clustering problems. We start with a screening step that uses a test for multimodality. Then we apply kernel density estimation and mode clustering to…

Statistics Theory · Mathematics 2014-06-10 Larry Wasserman , Martin Azizyan , Aarti Singh

A new strategy is proposed for building easy to interpret predictive models in the context of a high-dimensional dataset, with a large number of highly correlated explanatory variables. The strategy is based on a first step of variables…

Applications · Statistics 2023-07-14 Evelyne Vigneau

A vast number of different methods are available for unsupervised classification. Since no algorithm and parameter setting performs best in all types of data, there is a need for cluster validation to select the actually best-performing…

Machine Learning · Computer Science 2023-08-09 Zoltán Botta-Dukát

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

High-dimensional complex systems can be studied through multivariate analysis, as Principal Component Analysis, however large samples of observations frequently are needed for it. Here it is examined a method for small samples based on…

Applications · Statistics 2017-06-16 Dimitri Marques Abramov

Factor analysis is over a century old, but it is still problematic to choose the number of factors for a given data set. The scree test is popular but subjective. The best performing objective methods are recommended on the basis of…

Methodology · Statistics 2015-11-12 A. B. Owen , J. Wang

We study the problem of learning clusters of partially observed linear dynamical systems from multiple input-output trajectories. This setting is particularly relevant when there are limited observations (e.g., short trajectories) from…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Maryann Rui , Munther A. Dahleh

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

Methodology · Statistics 2020-06-24 Serhat Emre Akhanli , Christian Hennig

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

The immense amount of time series data produced by astronomical surveys has called for the use of machine learning algorithms to discover and classify several million celestial sources. In the case of variable stars, supervised learning…

Solar and Stellar Astrophysics · Physics 2022-10-12 R. Pantoja , M. Catelan , K. Pichara , P. Protopapas