sklearn.metrics.pairwise.manhattan_distances

sklearn.metrics.pairwise.manhattan_distances(X, Y=None, sum_over_features=True, size_threshold=500000000.0)

Compute the L1 distances between the vectors in X and Y.

With sum_over_features equal to False it returns the componentwise distances.

Parameters:

X : array_like

An array with shape (n_samples_X, n_features).

Y : array_like, optional

An array with shape (n_samples_Y, n_features).

sum_over_features : bool, default=True

If True the function returns the pairwise distance matrix else it returns the componentwise L1 pairwise-distances. Not supported for sparse matrix inputs.

size_threshold : int, default=5e8

Avoid creating temporary matrices bigger than size_threshold (in bytes). If the problem size gets too big, the implementation then breaks it down in smaller problems.

Returns:

D : array

If sum_over_features is False shape is (n_samples_X * n_samples_Y, n_features) and D contains the componentwise L1 pairwise-distances (ie. absolute difference), else shape is (n_samples_X, n_samples_Y) and D contains the pairwise L1 distances.

Examples

>>> from sklearn.metrics.pairwise import manhattan_distances
>>> manhattan_distances(3, 3)
array([[ 0.]])
>>> manhattan_distances(3, 2)
array([[ 1.]])
>>> manhattan_distances(2, 3)
array([[ 1.]])
>>> manhattan_distances([[1, 2], [3, 4]],         [[1, 2], [0, 3]])
array([[ 0.,  2.],
       [ 4.,  4.]])
>>> import numpy as np
>>> X = np.ones((1, 2))
>>> y = 2 * np.ones((2, 2))
>>> manhattan_distances(X, y, sum_over_features=False)
array([[ 1.,  1.],
       [ 1.,  1.]]...)