Lecture Notes in Computer Science, 2000, Volume 1866/2000, 112-129, DOI: 10.1007/3-540-44960-4_7

Extending K-Means Clustering to First-Order Representations

Mathias Kirsten and Stefan Wrobel

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Abstract

In this paper, we present an in-depth evaluation of two approaches of extending k-means clustering to work on first-order representations. The first-approach, k-medoids, selects its cluster center from the given set of instances, and is thus limited in its choice of centers. The second approach, k-prototypes, uses a heuristic prototype construction algorithm that is capable of generating new centers. The two approaches are empirically evaluated on a standard benchmark problem with respect to clustering quality and convergence. Results show that in this case indeed the k-medoids approach is a viable and fast alternative to existing agglomerative or top-down clustering approaches even for a small-scale dataset, while k-prototypes exhibited a number of deficiencies.

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