Work

Classification for a folded von Mises-Fisher distribution

Year: 2025

Type: article

Abstract: When directional data fall on the positive orthant of the hypersphere, they can be modeled using a folded directional distribution. In this paper, we introduce the folded von Mises-Fisher distribution and propose the Bayes classification rule for this distribution. Then we evaluate the performance of this rule and we compare it with the classification rule for the von Mises-Fisher distribution. Finally, we present examples using spherical data from the literature, determining the error rate using the folded von Mises-Fisher rule and comparing it with the error rate obtained using the von Mises-Fisher rule.

Source: Research in Statistics

DOI: 10.1080/27684520.2025.2552453

Authors: Adelaide Figueiredo, Fernanda Figueiredo

Institutions: Universidade do Porto, INESC TEC, University of Lisbon, Centro de Estatística e Aplicações

Language: English

Topic: Bayesian Methods and Mixture Models

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: diamond

Funder: Fundação para a Ciência e a Tecnologia