Multidimensional Scaling Visualization Using Parametric Entropy

• Tipo: Artigo em Revista Científica Internacional
• Data: 2015

Autores

António Mendes Lopes (Autor) FEUP; Tenreiro Machado, JAT (Autor) Outra; Galhano, AM (Autor) Outra

Revista

Título: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Vol. 25

ISSN: 0218-1274

Editora: World Scientific

Indexação

ISI Web of Knowledge - 9 Citações

Scopus - 11 Citações

Outras Informações

ID Authenticus: P-00K-3VW

DOI: 10.1142/s0218127415400179

Abstract (EN): This 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16