8.16.3.4. sklearn.metrics.homogeneity_score

sklearn.metrics.homogeneity_score(labels_true, labels_pred)

Homogeneity metric of a cluster labeling given a ground truth

A clustering result satisfies homogeneity if all of its clusters contain only data points which are members of a single class.

This metric is independent of the absolute values of the labels: a permutation of the class or cluster label values won’t change the score value in any way.

This metric is not symmetric: switching label_true with label_pred will return the completeness_score which will be different in general.

Parameters :

labels_true : int array, shape = [n_samples]

ground truth class labels to be used as a reference

labels_pred : array, shape = [n_samples]

cluster labels to evaluate

Returns :

homogeneity: float :

score between 0.0 and 1.0. 1.0 stands for perfectly homogeneous labeling

See also

-, -

Notes

References:

`V-Measure: A conditional entropy-based external cluster evaluation measure

Andrew Rosenberg and Julia Hirschberg, 2007` http://acl.ldc.upenn.edu/D/D07/D07-1043.pdf

Examples

Perfect labelings are homegenous:

>>> from sklearn.metrics.cluster import homogeneity_score
>>> homogeneity_score([0, 0, 1, 1], [1, 1, 0, 0])
1.0

Non-pefect labelings that futher split classes into more clusters can be perfectly homogeneous:

>>> homogeneity_score([0, 0, 1, 1], [0, 0, 1, 2])
1.0
>>> homogeneity_score([0, 0, 1, 1], [0, 1, 2, 3])
1.0

Clusters that include samples from different classes do not make for an homogeneous labeling:

>>> homogeneity_score([0, 0, 1, 1], [0, 1, 0, 1])
0.0
>>> homogeneity_score([0, 0, 1, 1], [0, 0, 0, 0])
0.0