Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters

We consider some modifications of the neural gas algorithm. First, fuzzy assignments as known from fuzzy c-means and neighborhood cooperativeness as known from self-organizing maps and neural gas are combined to obtain a basic Fuzzy Neural Gas. Further, a kernel variant and a simulated annealing app...

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Detalles Bibliográficos
Autores principales: Geweniger, Tina, Fischer, Lydia, Kaden, Marika, Lange, Mandy, Villmann, Thomas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3876777/
https://www.ncbi.nlm.nih.gov/pubmed/24396342
http://dx.doi.org/10.1155/2013/165248
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author Geweniger, Tina
Fischer, Lydia
Kaden, Marika
Lange, Mandy
Villmann, Thomas
author_facet Geweniger, Tina
Fischer, Lydia
Kaden, Marika
Lange, Mandy
Villmann, Thomas
author_sort Geweniger, Tina
collection PubMed
description We consider some modifications of the neural gas algorithm. First, fuzzy assignments as known from fuzzy c-means and neighborhood cooperativeness as known from self-organizing maps and neural gas are combined to obtain a basic Fuzzy Neural Gas. Further, a kernel variant and a simulated annealing approach are derived. Finally, we introduce a fuzzy extension of the ConnIndex to obtain an evaluation measure for clusterings based on fuzzy vector quantization.
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spelling pubmed-38767772014-01-06 Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters Geweniger, Tina Fischer, Lydia Kaden, Marika Lange, Mandy Villmann, Thomas Comput Intell Neurosci Research Article We consider some modifications of the neural gas algorithm. First, fuzzy assignments as known from fuzzy c-means and neighborhood cooperativeness as known from self-organizing maps and neural gas are combined to obtain a basic Fuzzy Neural Gas. Further, a kernel variant and a simulated annealing approach are derived. Finally, we introduce a fuzzy extension of the ConnIndex to obtain an evaluation measure for clusterings based on fuzzy vector quantization. Hindawi Publishing Corporation 2013 2013-12-16 /pmc/articles/PMC3876777/ /pubmed/24396342 http://dx.doi.org/10.1155/2013/165248 Text en Copyright © 2013 Tina Geweniger et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Geweniger, Tina
Fischer, Lydia
Kaden, Marika
Lange, Mandy
Villmann, Thomas
Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title_full Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title_fullStr Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title_full_unstemmed Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title_short Clustering by Fuzzy Neural Gas and Evaluation of Fuzzy Clusters
title_sort clustering by fuzzy neural gas and evaluation of fuzzy clusters
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3876777/
https://www.ncbi.nlm.nih.gov/pubmed/24396342
http://dx.doi.org/10.1155/2013/165248
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