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Clustering of Variables Based on Watson Distribution on Hypersphere: A Comparison of Algorithms

Title
Clustering of Variables Based on Watson Distribution on Hypersphere: A Comparison of Algorithms
Type
Article in International Scientific Journal
Year
2015
Authors
Paulo Gomes
(Author)
Other
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Journal
Vol. 44
Pages: 2622-2635
ISSN: 0361-0918
Publisher: Taylor & Francis
Scientific classification
FOS: Natural sciences > Mathematics
CORDIS: Physical sciences > Mathematics > Statistics
Other information
Authenticus ID: P-00G-DZB
Abstract (EN): We consider n individuals described by p variables, represented by points of the surface of unit hypersphere. We suppose that the individuals are fixed and the set of variables comes from a mixture of bipolar Watson distributions. For the mixture identification, we use EM and dynamic clusters algorithms, which enable us to obtain a partition of the set of variables into clusters of variables.Our aim is to evaluate the clusters obtained in these algorithms, using measures of within-groups variability and between-groups variability and compare these clusters with those obtained in other clustering approaches, by analyzing simulated and real data.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 14
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