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Journal of the Franklin Institute
Article . 2025 . Peer-reviewed
License: CC BY
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zbMATH Open
Article . 2025
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https://doi.org/10.2139/ssrn.4...
Article . 2024 . Peer-reviewed
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DBLP
Article
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Quaternion Kernel Partial Least Squares Regression Algorithms

Quaternion kernel partial least squares regression algorithms
Authors: José Domingo Jiménez-López; Rosa María Fernández-Alcalá; Jesús Navarro-Moreno; Juan Carlos Ruiz-Molina;

Quaternion Kernel Partial Least Squares Regression Algorithms

Abstract

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

Keywords

Ill-conditioned matrices, Linear regression; mixed models, ill-conditioned matrices, N/A, Partial least squares, Least squares and related methods for stochastic control systems, quaternion kernel methods, partial least squares, Linear and nonlinear regression models, linear and nonlinear regression models, Quaternion kernel methods

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green
hybrid