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Relative Measures

Q:

  • relative measures 是用来比较 clustering 的,那为什么不用两个 clustering 的 external/internal measures 来进行比较呢?

Silhouette coefficient

Plot the $s_j$ values in descending order for each cluster, and to note the overall SC value for a paricular set of parameters, as well as clusterwise SC values:

$$SC_i=\frac{1}{n_i} \sum_{x_j\in C_i} s_j$$

Cluster stability

The main idea behind cluster stability is that the clusterings obtained from several datasets sampled from the same underlying distribution as $D$ should be similar or "stable".

Clustering tendency

Clustering tendency (or clusterability) aims to determine whether the dataset $D$ has any meaningful groups to begin with.