Classification of probability density functions in the framework of Bayes spaces : methods and applications
Pavlů, Ivana (Palacky University Olomouc. Department of Mathematical Analysis and Application of Mathematics)
Menafoglio, Alessandra (Politecnico di Milano. Department of Mathematics)
Bongiorno, Enea (Universita degli Studi del Piemonte Orientale. Dipartimento di Studi per l'Economia e l'Impresa)
Hron, Karel (Palacky University Olomouc. Department of Mathematical Analysis and Application of Mathematics)

Date:	2023
Abstract:	The process of supervised classification when the data set consists of probability density functions is studied. Due to the relative information contained in densities, it is necessary to convert the functional data analysis methods into an appropriate framework, here represented by the Bayes spaces. This work develops Bayes space counterparts to a set of commonly used functional methods with a focus on classification. Hereby, a clear guideline is provided on how some classification approaches can be adapted for the case of densities. Comparison of the methods is based on simulation studies and real-world applications, reflecting their respective strengths and weaknesses.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Probability density functions ; Bayes spaces ; Classifcation ; Functional data analysis
Published in:	SORT : statistics and operations research transactions, Vol. 47 Núm. 2 (2023) , p. 295-322, ISSN 2013-8830

Adreça original: https://raco.cat/index.php/SORT/article/view/421918
DOI: 10.57645/20.8080.02.10

28 p, 4.8 MB

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