# pairwise_distances_argmin_min#

sklearn.metrics.pairwise_distances_argmin_min(X, Y, *, axis=1, metric='euclidean', metric_kwargs=None)[source]#

Compute minimum distances between one point and a set of points.

This function computes for each row in X, the index of the row of Y which is closest (according to the specified distance). The minimal distances are also returned.

This is mostly equivalent to calling:

(pairwise_distances(X, Y=Y, metric=metric).argmin(axis=axis),

pairwise_distances(X, Y=Y, metric=metric).min(axis=axis))

but uses much less memory, and is faster for large arrays.

Parameters:
X{array-like, sparse matrix} of shape (n_samples_X, n_features)

Array containing points.

Y{array-like, sparse matrix} of shape (n_samples_Y, n_features)

Array containing points.

axisint, default=1

Axis along which the argmin and distances are to be computed.

metricstr or callable, default=’euclidean’

Metric to use for distance computation. Any metric from scikit-learn or scipy.spatial.distance can be used.

If metric is a callable function, it is called on each pair of instances (rows) and the resulting value recorded. The callable should take two arrays as input and return one value indicating the distance between them. This works for Scipy’s metrics, but is less efficient than passing the metric name as a string.

Distance matrices are not supported.

Valid values for metric are:

• from scikit-learn: [‘cityblock’, ‘cosine’, ‘euclidean’, ‘l1’, ‘l2’, ‘manhattan’]

• from scipy.spatial.distance: [‘braycurtis’, ‘canberra’, ‘chebyshev’, ‘correlation’, ‘dice’, ‘hamming’, ‘jaccard’, ‘kulsinski’, ‘mahalanobis’, ‘minkowski’, ‘rogerstanimoto’, ‘russellrao’, ‘seuclidean’, ‘sokalmichener’, ‘sokalsneath’, ‘sqeuclidean’, ‘yule’]

See the documentation for scipy.spatial.distance for details on these metrics.

Note

'kulsinski' is deprecated from SciPy 1.9 and will be removed in SciPy 1.11.

Note

'matching' has been removed in SciPy 1.9 (use 'hamming' instead).

metric_kwargsdict, default=None

Keyword arguments to pass to specified metric function.

Returns:
argminndarray

Y[argmin[i], :] is the row in Y that is closest to X[i, :].

distancesndarray

The array of minimum distances. distances[i] is the distance between the i-th row in X and the argmin[i]-th row in Y.

pairwise_distances

Distances between every pair of samples of X and Y.

pairwise_distances_argmin

Same as pairwise_distances_argmin_min but only returns the argmins.

Examples

>>> from sklearn.metrics.pairwise import pairwise_distances_argmin_min
>>> X = [[0, 0, 0], [1, 1, 1]]
>>> Y = [[1, 0, 0], [1, 1, 0]]
>>> argmin, distances = pairwise_distances_argmin_min(X, Y)
>>> argmin
array([0, 1])
>>> distances
array([1., 1.])