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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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Bibliografiske detaljer
Udgivet i:Artificial Intelligence Applications and Innovations
Main Authors: Kłopotek, Mieczysław A., Wierzchoń, Sławomir T., Kłopotek, Robert A.
Format: Artigo
Sprog:Inglês
Udgivet: 2020
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7256414/
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/978-3-030-49161-1_10
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