scipy.spatial.distance.

yule#

scipy.spatial.distance.yule(u, v, w=None)[source]#

Compute the Yule dissimilarity between two boolean 1-D arrays.

The Yule dissimilarity is defined as

where c_{ij} is the number of occurrences of \mathtt{u[k]} = i and \mathtt{v[k]} = j for k < n and R = 2.0 * c_{TF} * c_{FT}.

Parameters:
u(N,) array_like, bool

Input array.

v(N,) array_like, bool

Input array.

w(N,) array_like, optional

The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

Returns:
yuledouble

The Yule dissimilarity between vectors u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.yule([1, 0, 0], [0, 1, 0])
2.0
>>> distance.yule([1, 1, 0], [0, 1, 0])
0.0