Clustering and Classification of Compositional Data Using Distributions Defined on the Hypersphere

• Type: Article in International Conference Proceedings Book
• Date: 2025

Authors

Adelaide Figueiredo (Author) FEP

Conference proceedings International

Title: Springer Proceedings in Mathematics and Statistics

Pages: 423-435

26th Congress of the Portuguese Statistical Society, SPE 2023

Evora, 13 October 2021 through 16 October 2021

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-017-SGX

DOI: 10.1007/978-3-031-68949-9_31

Abstract (EN): We propose an approach to cluster and classify compositional data. We transform the compositional data into directional data using the square root transformation. To cluster the compositional data, we apply the identification of a mixture of Watson distributions on the hypersphere and to classify the compositional data into predefined groups, we apply Bayes rules based on the Watson distribution to the directional data. We then compare our clustering results with those obtained in hierarchical clustering and in the K-means clustering using the log-ratio transformations of the data and compare our classification results with those obtained in linear discriminant analysis using log-ratio transformations of the data. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12