A von Mises–Fisher mixture model for clustering numerical and categorical variables

Xavier Bry () and Lionel Cucala ()
Additional contact information
Xavier Bry: Université de Montpellier
Lionel Cucala: Université de Montpellier

Advances in Data Analysis and Classification, 2022, vol. 16, issue 2, No 9, 429-455

Abstract: Abstract This work presents a mixture model allowing to cluster variables of different types. All variables being measured on the same n statistical units, we first represent every variable with a unit-norm operator in $${\mathbb {R}}^{n\times n}$$ R n × n endowed with an appropriate inner product. We propose a von Mises–Fisher mixture model on the unit-sphere containing these operators. The parameters of the mixture model are estimated with an EM algorithm, combined with a K-means procedure to obtain a good starting point. The method is tested on simulated data and eventually applied to wine data.

Keywords: Variable clustering; Mixture models; Model selection; von Mises–Fisher distribution; 62H11 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s11634-021-00449-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:advdac:v:16:y:2022:i:2:d:10.1007_s11634-021-00449-4

Ordering information: This journal article can be ordered from
http://www.springer. ... ds/journal/11634/PS2

DOI: 10.1007/s11634-021-00449-4

Access Statistics for this article

Advances in Data Analysis and Classification is currently edited by H.-H. Bock, W. Gaul, A. Okada, M. Vichi and C. Weihs

More articles in Advances in Data Analysis and Classification from Springer, German Classification Society - Gesellschaft für Klassifikation (GfKl), Japanese Classification Society (JCS), Classification and Data Analysis Group of the Italian Statistical Society (CLADAG), International Federation of Classification Societies (IFCS)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().