# A Family of Metrics for Clustering Algorithms

27 Jul 2017

We give the motivation for scoring clustering algorithms and a metric $M : A \rightarrow \mathbb{N}$ from the set of clustering algorithms to the natural numbers which we realize as $$M(A) = \sum_i \alpha_i |f_i - \beta_i|^{w_i}$$ where $\alpha_i,\beta_i,w_i$ are parameters used for scoring the feature $f_i$, which is computed empirically.. We give a method by which one can score features such as stability, noise sensitivity, etc and derive the necessary parameters. We conclude by giving a sample set of scores...

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