Quaternion kernel partial least squares regression algorithms.

This work provides three quaternion kernel partial least squares (PLS) algorithms for linear and nonlinear regressions. Firstly, the problem of large ill-conditioned matrices is tackled and two specifically designed linear kernel algorithms are suggested. Secondly, since PLS can present low regressi...

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Detalhes bibliográficos
Autores: Jiménez-López, José Domingo, Fernández-Alcalá, Rosa María, Navarro-Moreno, Jesús, Ruiz-Molina, Juan Carlos
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2025
País:España
Recursos:Universidad de Jaén
Repositorio:RUJA. Repositorio Institucional de la Producción Científica de la Universidad de Jaén
OAI Identifier:oai:ruja.ujaen.es:10953/6338
Acesso em linha:https://hdl.handle.net/10953/6338
Access Level:acceso abierto
Palavra-chave:Ill-conditioned matrices
Linear and nonlinear regression models
Partial least squares
Quaternion kernel methods
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Descrição
Resumo:This work provides three quaternion kernel partial least squares (PLS) algorithms for linear and nonlinear regressions. Firstly, the problem of large ill-conditioned matrices is tackled and two specifically designed linear kernel algorithms are suggested. Secondly, since PLS can present low regression accuracy and prediction performance for nonlinear data, a kernel algorithm for performing quaternion nonlinear regression is also given. Computational results and discussion illustrate the relative merits of the algorithms proposed over closely related regression methods