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k-means Cluster Shape Implications

We present a novel justification why k-means clusters should be (hyper)ball-shaped ones. We show that the clusters must be ball-shaped to attain motion-consistency. If clusters are ball-shaped, one can derive conditions under which two clusters attain the global optimum of k-means. We show further t...

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Detalles Bibliográficos
Autores principales: Kłopotek, Mieczysław A., Wierzchoń, Sławomir T., Kłopotek, Robert A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7256414/
http://dx.doi.org/10.1007/978-3-030-49161-1_10