English
Ciência-IUL
Publicações
Descrição Detalhada da Publicação
On ill-conceived initialization in archetypal analysis
Título Revista
Advances in Data Analysis and Classification
Ano (publicação definitiva)
2017
Língua
Inglês
País
Alemanha
Mais Informação
Web of Science®
Scopus
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Abstract/Resumo
We show that an improper initialization of the matrix of prototypes, V, can be misleading, and potentially gives rise to a degenerate fuzzy partition when performing fuzzy clustering by means of an archetypal analysis. Subsequently, we propose an algorithm to correct the initial guess for V, which is grounded in two theoretical results on convex hulls. A numerical experiment carried out to assess its accuracy, and involving more than 200,000 initializations, shows a failure rate of below 0.8%.
Agradecimentos/Acknowledgements
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Palavras-chave
Matrix factorization,Fuzzy clustering,Archetypal analysis,Initialization,Polytopes
Classificação Fields of Science and Technology
- Matemáticas - Ciências Naturais
