Probabilistic approach for comparing partitions

Detalhes bibliográficos
Autor(a) principal: Silva, Osvaldo
Data de Publicação: 2014
Outros Autores: Bacelar-Nicolau, Helena, Nicolau, Fernando C., Sousa, Áurea
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.3/3429
Resumo: 3rd SMTDA Conference Proceedings, 11-14 June 2014, Lisbon, Portugal.
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spelling Probabilistic approach for comparing partitionsHierarchical Cluster AnalysisComparing PartitionsAffinity CoefficientVL Methodology3rd SMTDA Conference Proceedings, 11-14 June 2014, Lisbon, Portugal.The comparison of two partitions in Cluster Analysis can be performed using various classical coefficients (or indexes) in the context of three approaches (based, respectively, on the count of pairs, on the pairing of the classes and on the variation of information). However, different indexes usually highlight different peculiarities of the partitions to compare. Moreover, these coefficients may have different variation ranges or they do not vary in the predicted interval, but rather only in one of their subintervals. Furthermore, there is a great diversity of validation techniques capable of assisting in the choice of the best partitioning of the elements to be classified, but in general each one tends to favour a certain kind of algorithm. Thus, it is useful to find ways to compare the results obtained using different approaches. In order to assist this assessment, a probabilistic approach to comparing partitions is presented and exemplified. This approach, based on the VL (Validity Linkage) Similarity, has the advantage, among others, of standardizing the measurement scales in a unique probabilistic scale. In this work, the partitions obtained from the agglomerative hierarchical cluster analysis of a dataset in the field of teaching are evaluated using classical and probabilistic (of VL type) indexes, and the obtained results are compared.ISAST - International Society for the Advancement of Science and TechnologyRepositório da Universidade dos AçoresSilva, OsvaldoBacelar-Nicolau, HelenaNicolau, Fernando C.Sousa, Áurea2015-04-28T16:00:18Z20142014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfapplication/pdfhttp://hdl.handle.net/10400.3/3429engSilva, Osvaldo; Bacelar-Nicolau, Helena; Nicolau, Fernando C.; Sousa, Áurea (2014). "Probabilistic Approach for Comparing Partitions". Proceedings of the 3rd Stochastic Modeling Techniques and Data Analysis International Conference (SMTDA2014), C. H. Skiadas (Eds.), 2014 ISAST, 709-717.978-618-81257-5-9 (Book)info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-12-20T14:31:27Zoai:repositorio.uac.pt:10400.3/3429Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:25:59.613351Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Probabilistic approach for comparing partitions
title Probabilistic approach for comparing partitions
spellingShingle Probabilistic approach for comparing partitions
Silva, Osvaldo
Hierarchical Cluster Analysis
Comparing Partitions
Affinity Coefficient
VL Methodology
title_short Probabilistic approach for comparing partitions
title_full Probabilistic approach for comparing partitions
title_fullStr Probabilistic approach for comparing partitions
title_full_unstemmed Probabilistic approach for comparing partitions
title_sort Probabilistic approach for comparing partitions
author Silva, Osvaldo
author_facet Silva, Osvaldo
Bacelar-Nicolau, Helena
Nicolau, Fernando C.
Sousa, Áurea
author_role author
author2 Bacelar-Nicolau, Helena
Nicolau, Fernando C.
Sousa, Áurea
author2_role author
author
author
dc.contributor.none.fl_str_mv Repositório da Universidade dos Açores
dc.contributor.author.fl_str_mv Silva, Osvaldo
Bacelar-Nicolau, Helena
Nicolau, Fernando C.
Sousa, Áurea
dc.subject.por.fl_str_mv Hierarchical Cluster Analysis
Comparing Partitions
Affinity Coefficient
VL Methodology
topic Hierarchical Cluster Analysis
Comparing Partitions
Affinity Coefficient
VL Methodology
description 3rd SMTDA Conference Proceedings, 11-14 June 2014, Lisbon, Portugal.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01T00:00:00Z
2015-04-28T16:00:18Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.3/3429
url http://hdl.handle.net/10400.3/3429
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Silva, Osvaldo; Bacelar-Nicolau, Helena; Nicolau, Fernando C.; Sousa, Áurea (2014). "Probabilistic Approach for Comparing Partitions". Proceedings of the 3rd Stochastic Modeling Techniques and Data Analysis International Conference (SMTDA2014), C. H. Skiadas (Eds.), 2014 ISAST, 709-717.
978-618-81257-5-9 (Book)
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv ISAST - International Society for the Advancement of Science and Technology
publisher.none.fl_str_mv ISAST - International Society for the Advancement of Science and Technology
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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