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Improved linear classifier model with Nyström

Most data sets consist of interlaced-distributed samples from multiple classes and since these samples always cannot be classified correctly by a linear hyperplane, so we name them nonlinearly separable data sets and corresponding classifiers are named nonlinear classifiers. Traditional nonlinear cl...

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Detalles Bibliográficos
Autores principales: Zhu, Changming, Ji, Xiang, Chen, Chao, Zhou, Rigui, Wei, Lai, Zhang, Xiafen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6218068/
https://www.ncbi.nlm.nih.gov/pubmed/30395624
http://dx.doi.org/10.1371/journal.pone.0206798
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author Zhu, Changming
Ji, Xiang
Chen, Chao
Zhou, Rigui
Wei, Lai
Zhang, Xiafen
author_facet Zhu, Changming
Ji, Xiang
Chen, Chao
Zhou, Rigui
Wei, Lai
Zhang, Xiafen
author_sort Zhu, Changming
collection PubMed
description Most data sets consist of interlaced-distributed samples from multiple classes and since these samples always cannot be classified correctly by a linear hyperplane, so we name them nonlinearly separable data sets and corresponding classifiers are named nonlinear classifiers. Traditional nonlinear classifiers adopt kernel functions to generate kernel matrices and then get optimal classifier parameters with the solution of these matrices. But computing and storing kernel matrices brings high computational and space complexities. Since INMKMHKS adopts Nyström approximation technique and NysCK changes nonlinearly separable data to linearly ones so as to reduce the complexities, we combines ideas of them to develop an improved NysCK (INysCK). Moreover, we extend INysCK into multi-view applications and propose multi-view INysCK (MINysCK). Related experiments validate the effectiveness of them in terms of accuracy, convergence, Rademacher complexity, etc.
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spelling pubmed-62180682018-11-19 Improved linear classifier model with Nyström Zhu, Changming Ji, Xiang Chen, Chao Zhou, Rigui Wei, Lai Zhang, Xiafen PLoS One Research Article Most data sets consist of interlaced-distributed samples from multiple classes and since these samples always cannot be classified correctly by a linear hyperplane, so we name them nonlinearly separable data sets and corresponding classifiers are named nonlinear classifiers. Traditional nonlinear classifiers adopt kernel functions to generate kernel matrices and then get optimal classifier parameters with the solution of these matrices. But computing and storing kernel matrices brings high computational and space complexities. Since INMKMHKS adopts Nyström approximation technique and NysCK changes nonlinearly separable data to linearly ones so as to reduce the complexities, we combines ideas of them to develop an improved NysCK (INysCK). Moreover, we extend INysCK into multi-view applications and propose multi-view INysCK (MINysCK). Related experiments validate the effectiveness of them in terms of accuracy, convergence, Rademacher complexity, etc. Public Library of Science 2018-11-05 /pmc/articles/PMC6218068/ /pubmed/30395624 http://dx.doi.org/10.1371/journal.pone.0206798 Text en © 2018 Zhu et al http://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
spellingShingle Research Article
Zhu, Changming
Ji, Xiang
Chen, Chao
Zhou, Rigui
Wei, Lai
Zhang, Xiafen
Improved linear classifier model with Nyström
title Improved linear classifier model with Nyström
title_full Improved linear classifier model with Nyström
title_fullStr Improved linear classifier model with Nyström
title_full_unstemmed Improved linear classifier model with Nyström
title_short Improved linear classifier model with Nyström
title_sort improved linear classifier model with nyström
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6218068/
https://www.ncbi.nlm.nih.gov/pubmed/30395624
http://dx.doi.org/10.1371/journal.pone.0206798
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