Kernel Learning by Spectral Representation and Gaussian Mixtures

One of the main tasks in kernel methods is the selection of adequate mappings into higher dimension in order to improve class classification. However, this tends to be time consuming, and it may not finish with the best separation between classes. Therefore, there is a need for better methods that a...

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Main Authors: Luis R. Pena-Llamas, Ramon O. Guardado-Medina, Arturo Garcia, Andres Mendez-Vazquez
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/13/4/2473
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author Luis R. Pena-Llamas
Ramon O. Guardado-Medina
Arturo Garcia
Andres Mendez-Vazquez
author_facet Luis R. Pena-Llamas
Ramon O. Guardado-Medina
Arturo Garcia
Andres Mendez-Vazquez
author_sort Luis R. Pena-Llamas
collection DOAJ
description One of the main tasks in kernel methods is the selection of adequate mappings into higher dimension in order to improve class classification. However, this tends to be time consuming, and it may not finish with the best separation between classes. Therefore, there is a need for better methods that are able to extract distance and class separation from data. This work presents a novel approach for learning such mappings by using locally stationary kernels, spectral representations and Gaussian mixtures.
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spelling doaj.art-3d2ae2bef9104fc98b377b7f053dd69a2023-11-16T18:56:14ZengMDPI AGApplied Sciences2076-34172023-02-01134247310.3390/app13042473Kernel Learning by Spectral Representation and Gaussian MixturesLuis R. Pena-Llamas0Ramon O. Guardado-Medina1Arturo Garcia2Andres Mendez-Vazquez3Department of Computer Science, El Centro de Investigación y de Estudios Avanzados (CINVESTAV), Ciudad de Mexico 44960, MexicoDepartment of Research, Escuela Militar de Mantenimiento y Abastecimiento, Universidad del Ejercito y Fuerza Aerea, Zapopan 45200, MexicoDepartment of Research, Escuela Militar de Mantenimiento y Abastecimiento, Universidad del Ejercito y Fuerza Aerea, Zapopan 45200, MexicoDepartment of Computer Science, El Centro de Investigación y de Estudios Avanzados (CINVESTAV), Ciudad de Mexico 44960, MexicoOne of the main tasks in kernel methods is the selection of adequate mappings into higher dimension in order to improve class classification. However, this tends to be time consuming, and it may not finish with the best separation between classes. Therefore, there is a need for better methods that are able to extract distance and class separation from data. This work presents a novel approach for learning such mappings by using locally stationary kernels, spectral representations and Gaussian mixtures.https://www.mdpi.com/2076-3417/13/4/2473non-parametric kernel learningapproximating kernelkernel spectral representationlocally stationary kernel
spellingShingle Luis R. Pena-Llamas
Ramon O. Guardado-Medina
Arturo Garcia
Andres Mendez-Vazquez
Kernel Learning by Spectral Representation and Gaussian Mixtures
Applied Sciences
non-parametric kernel learning
approximating kernel
kernel spectral representation
locally stationary kernel
title Kernel Learning by Spectral Representation and Gaussian Mixtures
title_full Kernel Learning by Spectral Representation and Gaussian Mixtures
title_fullStr Kernel Learning by Spectral Representation and Gaussian Mixtures
title_full_unstemmed Kernel Learning by Spectral Representation and Gaussian Mixtures
title_short Kernel Learning by Spectral Representation and Gaussian Mixtures
title_sort kernel learning by spectral representation and gaussian mixtures
topic non-parametric kernel learning
approximating kernel
kernel spectral representation
locally stationary kernel
url https://www.mdpi.com/2076-3417/13/4/2473
work_keys_str_mv AT luisrpenallamas kernellearningbyspectralrepresentationandgaussianmixtures
AT ramonoguardadomedina kernellearningbyspectralrepresentationandgaussianmixtures
AT arturogarcia kernellearningbyspectralrepresentationandgaussianmixtures
AT andresmendezvazquez kernellearningbyspectralrepresentationandgaussianmixtures