# VBeta¶

VBeta.

VBeta (or V-Measure) 1 is an external entropy-based cluster evaluation measure. It provides an elegant solution to many problems that affect previously defined cluster evaluation measures including

• Dependance of clustering algorithm or dataset,

• The "problem of matching", where the clustering of only a portion of data points are evaluated, and

• Accurate evaluation and combination of two desirable aspects of clustering, homogeneity and completeness.

Based upon the calculations of homogeneity and completeness, a clustering solution's V-measure is calculated by computing the weighted harmonic mean of homogeneity and completeness,

$V_{\beta} = \frac{(1 + \beta) \times h \times c}{\beta \times h + c}.$

## Parameters¶

• beta

Typefloat

Default1.0

Weight of Homogeneity in the harmonic mean.

• cm

DefaultNone

This parameter allows sharing the same confusion matrix between multiple metrics. Sharing a confusion matrix reduces the amount of storage and computation time.

## Attributes¶

• bigger_is_better

Indicate if a high value is better than a low one or not.

• requires_labels

Indicates if labels are required, rather than probabilities.

• works_with_weights

Indicate whether the model takes into consideration the effect of sample weights

## Examples¶

from river import metrics

y_true = [1, 1, 2, 2, 3, 3]
y_pred = [1, 1, 1, 2, 2, 2]

metric = metrics.VBeta(beta=1.0)
for yt, yp in zip(y_true, y_pred):
print(metric.update(yt, yp).get())

1.0
1.0
0.0
0.3437110184854507
0.4580652856440158
0.5158037429793888


metric

VBeta: 51.58%


## Methods¶

get

Return the current value of the metric.

is_better_than

Indicate if the current metric is better than another one.

Parameters

• other

revert

Revert the metric.

Parameters

• y_true
• y_pred
• sample_weight — defaults to 1.0

update

Update the metric.

Parameters

• y_true
• y_pred
• sample_weight — defaults to 1.0

works_with

Indicates whether or not a metric can work with a given model.

Parameters

1. Andrew Rosenberg and Julia Hirschberg (2007). V-Measure: A conditional entropy-based external cluster evaluation measure. Proceedings of the 2007 Joing Conference on Empirical Methods in Natural Language Processing and Computational Natural Language Learning, pp. 410 - 420, Prague, June 2007.