homogeneity_completeness_v_measure(labels_true, labels_pred, *, beta=1.0)¶
Compute the homogeneity and completeness and V-Measure scores at once.
Those metrics are based on normalized conditional entropy measures of the clustering labeling to evaluate given the knowledge of a Ground Truth class labels of the same samples.
A clustering result satisfies homogeneity if all of its clusters contain only data points which are members of a single class.
A clustering result satisfies completeness if all the data points that are members of a given class are elements of the same cluster.
Both scores have positive values between 0.0 and 1.0, larger values being desirable.
Those 3 metrics are independent of the absolute values of the labels: a permutation of the class or cluster label values won’t change the score values in any way.
V-Measure is furthermore symmetric: swapping
label_predwill give the same score. This does not hold for homogeneity and completeness. V-Measure is identical to
normalized_mutual_info_scorewith the arithmetic averaging method.
Read more in the User Guide.
- labels_trueint array, shape = [n_samples]
ground truth class labels to be used as a reference
- labels_predarray-like of shape (n_samples,)
cluster labels to evaluate
- betafloat, default=1.0
Ratio of weight attributed to
betais greater than 1,
completenessis weighted more strongly in the calculation. If
betais less than 1,
homogeneityis weighted more strongly.
score between 0.0 and 1.0. 1.0 stands for perfectly homogeneous labeling
score between 0.0 and 1.0. 1.0 stands for perfectly complete labeling
harmonic mean of the first two