manhattan_distances(X, Y=None, *, sum_over_features=True)[source]¶
Compute the L1 distances between the vectors in X and Y.
With sum_over_features equal to False it returns the componentwise distances.
Read more in the User Guide.
- Xarray-like of shape (n_samples_X, n_features)
- Yarray-like of shape (n_samples_Y, n_features), default=None
- sum_over_featuresbool, 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.
- Dndarray of shape (n_samples_X * n_samples_Y, n_features) or (n_samples_X, n_samples_Y)
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.
When X and/or Y are CSR sparse matrices and they are not already in canonical format, this function modifies them in-place to make them canonical.
>>> from sklearn.metrics.pairwise import manhattan_distances >>> manhattan_distances([], []) array([[0.]]) >>> manhattan_distances([], []) array([[1.]]) >>> manhattan_distances([], []) 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 = np.full((2, 2), 2.) >>> manhattan_distances(X, y, sum_over_features=False) array([[1., 1.], [1., 1.]])