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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...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2018
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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. |
format | Online Article Text |
id | pubmed-6218068 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2018 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
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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