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Multidimensional Scaling Visualization using Parametric Entropy

dc.contributor.authorLopes, António M.
dc.contributor.authorMachado, J. A. Tenreiro
dc.contributor.authorGalhano, Alexandra M.
dc.date.accessioned2016-12-14T10:59:59Z
dc.date.available2016-12-14T10:59:59Z
dc.date.issued2015-12-30
dc.description.abstractThis paper studies complex systems using a generalized multidimensional scaling (MDS) technique. Complex systems are characterized by time-series responses, interpreted as a manifestation of their dynamics. Two types of time-series are analyzed, namely 18 stock markets and the gross domestic product per capita of 18 countries. For constructing the MDS charts, indices based on parametric entropies are adopted. Multiparameter entropies allow the variation of the parameters leading to alternative sets of charts. The final MDS maps are then assembled by means of Procrustes’ method that maximizes the fit between the individual charts. Therefore, the proposed method can be interpreted as a generalization to higher dimensions of the standard technique that represents (and discretizes) items by means of single “points” (i.e. zero-dimensional “objects”). The MDS plots, involving one-, two- and three-dimensional “objects”, reveal a good performance in capturing the correlations between data.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1142/S0218127415400179pt_PT
dc.identifier.issn1793-6551
dc.identifier.urihttp://hdl.handle.net/10400.22/8792
dc.language.isoengpt_PT
dc.relation.publisherversionhttp://www.worldscientific.com/doi/abs/10.1142/S0218127415400179pt_PT
dc.subjectMultidimensional scalingpt_PT
dc.subjectClusteringpt_PT
dc.subjectVisualizationpt_PT
dc.subjectComplex systemspt_PT
dc.subjectEntropypt_PT
dc.titleMultidimensional Scaling Visualization using Parametric Entropypt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleInternational Journal of Bifurcation and Chaospt_PT
oaire.citation.volume25pt_PT
person.familyNameTenreiro Machado
person.givenNameJ. A.
person.identifier.ciencia-id7A18-4935-5B29
person.identifier.orcid0000-0003-4274-4879
person.identifier.ridM-2173-2013
person.identifier.scopus-author-id55989030100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication82cd5c17-07b6-492b-b3e3-ecebdad1254f
relation.isAuthorOfPublication.latestForDiscovery82cd5c17-07b6-492b-b3e3-ecebdad1254f

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