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Comparing different approaches to archetypal analysis as a fuzzy clustering tool
Título Revista
International Journal of Fuzzy Systems
Ano (publicação definitiva)
2021
Língua
Inglês
País
Alemanha
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Abstract/Resumo
We summarize the results of an intensive simulation study carried out to compare the performance of three approaches to archetypal analysis regarded as a fuzzy clustering tool: the original approach, namely that of Cutler and Breiman (Technometrics 36(4):338–347, 1994), the Ding et al. (IEEE Trans Pattern Anal Mach Intell 32(1):45–55, 2010) proposal, and the factorized fuzzy c-means algorithm. The artificial data we use in our experiment are generated from polytopes in low-dimensional Rn spaces (2 ≤ n≤ 7) , and comprise a diversity of cluster contexts. The simulation results show that the original proposal is generally a more accurate method to uncover the cluster structure hidden in the data and to reproduce the data themselves. However, this supremacy, if any, is not clear for the data generated from real life problems, and devoted to unsupervised clustering problems.
Agradecimentos/Acknowledgements
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Palavras-chave
Archetypal analysis,Fuzzy clustering,Matrix factorization,Simulation
Classificação Fields of Science and Technology
- Matemáticas - Ciências Naturais
Registos de financiamentos
Referência de financiamento | Entidade Financiadora |
---|---|
UIDB/00315/2020 | Fundação para a Ciência e a Tecnologia |