Multidimensional Scaling Visualization Using Parametric Entropy

• Type: Article in International Scientific Journal
• Date: 2015

Authors

António Mendes Lopes (Author) FEUP; Tenreiro Machado, JAT (Author) Other; Galhano, AM (Author) Other

Journal

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

Vol. 25

ISSN: 0218-1274

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 9 Citations

Scopus - 11 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16