| Autor: |
Kłopotek, Mieczysław A., Wierzchoń, Sławomir T., Kłopotek, Robert A. |
| Jazyk: |
angličtina |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Artificial Intelligence Applications and Innovations |
| Popis: |
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 that if the gap is sufficient for perfect separation, then an incremental k-means is able to discover perfectly separated clusters. This is in conflict with the impression left by an earlier publication by Ackerman and Dasgupta. The proposed motion-transformations can be used to the new labeled data for clustering from existent ones. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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