Questions tagged [clustering]

Clustering is grouping (partitioning) a set of objects so that items in the same group are more similar to each other than to items in different groups, where the notion of similarity may be variously defined.

Clustering is a task of grouping (partitioning) a set of objects so that items in the same group are more similar (closer) to each other than to items in different groups. Often the notion of similarity is expressed as a distance measure, with greater distance conveying less similarity. The study of clustering algorithms (cluster analysis) originated in the social sciences but has become important in statistical data analysis (data mining) and in machine learning.

Examples of such algorithms are $K$-means and self-organizing map.

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Find the optimal number of number of clusters to best represent the data?

Given distance metric and N vectors, what would be algorithm or procedure to decide how many clusters to form ? My question is not how to cluster, but how to decide how many clusters is the most optimal number to use to represent the N vectors i.e.…
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