sklearn.neighbors
.NearestNeighbors¶

class
sklearn.neighbors.
NearestNeighbors
(*, n_neighbors=5, radius=1.0, algorithm='auto', leaf_size=30, metric='minkowski', p=2, metric_params=None, n_jobs=None)[source]¶ Unsupervised learner for implementing neighbor searches.
Read more in the User Guide.
New in version 0.9.
 Parameters
 n_neighborsint, default=5
Number of neighbors to use by default for
kneighbors
queries. radiusfloat, default=1.0
Range of parameter space to use by default for
radius_neighbors
queries. algorithm{‘auto’, ‘ball_tree’, ‘kd_tree’, ‘brute’}, default=’auto’
Algorithm used to compute the nearest neighbors:
‘ball_tree’ will use
BallTree
‘kd_tree’ will use
KDTree
‘brute’ will use a bruteforce search.
‘auto’ will attempt to decide the most appropriate algorithm based on the values passed to
fit
method.
Note: fitting on sparse input will override the setting of this parameter, using brute force.
 leaf_sizeint, default=30
Leaf size passed to BallTree or KDTree. This can affect the speed of the construction and query, as well as the memory required to store the tree. The optimal value depends on the nature of the problem.
 metricstr or callable, default=’minkowski’
the distance metric to use for the tree. The default metric is minkowski, and with p=2 is equivalent to the standard Euclidean metric. See the documentation of
DistanceMetric
for a list of available metrics. If metric is “precomputed”, X is assumed to be a distance matrix and must be square during fit. X may be a sparse graph, in which case only “nonzero” elements may be considered neighbors. pint, default=2
Parameter for the Minkowski metric from sklearn.metrics.pairwise.pairwise_distances. When p = 1, this is equivalent to using manhattan_distance (l1), and euclidean_distance (l2) for p = 2. For arbitrary p, minkowski_distance (l_p) is used.
 metric_paramsdict, default=None
Additional keyword arguments for the metric function.
 n_jobsint, default=None
The number of parallel jobs to run for neighbors search.
None
means 1 unless in ajoblib.parallel_backend
context.1
means using all processors. See Glossary for more details.
 Attributes
 effective_metric_str
Metric used to compute distances to neighbors.
 effective_metric_params_dict
Parameters for the metric used to compute distances to neighbors.
 n_samples_fit_int
Number of samples in the fitted data.
See also
Notes
See Nearest Neighbors in the online documentation for a discussion of the choice of
algorithm
andleaf_size
.https://en.wikipedia.org/wiki/Knearest_neighbors_algorithm
Examples
>>> import numpy as np >>> from sklearn.neighbors import NearestNeighbors >>> samples = [[0, 0, 2], [1, 0, 0], [0, 0, 1]]
>>> neigh = NearestNeighbors(n_neighbors=2, radius=0.4) >>> neigh.fit(samples) NearestNeighbors(...)
>>> neigh.kneighbors([[0, 0, 1.3]], 2, return_distance=False) array([[2, 0]]...)
>>> nbrs = neigh.radius_neighbors( ... [[0, 0, 1.3]], 0.4, return_distance=False ... ) >>> np.asarray(nbrs[0][0]) array(2)
Methods
fit
(X[, y])Fit the nearest neighbors estimator from the training dataset.
get_params
([deep])Get parameters for this estimator.
kneighbors
([X, n_neighbors, return_distance])Finds the Kneighbors of a point.
kneighbors_graph
([X, n_neighbors, mode])Computes the (weighted) graph of kNeighbors for points in X
radius_neighbors
([X, radius, …])Finds the neighbors within a given radius of a point or points.
radius_neighbors_graph
([X, radius, mode, …])Computes the (weighted) graph of Neighbors for points in X
set_params
(**params)Set the parameters of this estimator.

fit
(X, y=None)[source]¶ Fit the nearest neighbors estimator from the training dataset.
 Parameters
 X{arraylike, sparse matrix} of shape (n_samples, n_features) or (n_samples, n_samples) if metric=’precomputed’
Training data.
 yIgnored
Not used, present for API consistency by convention.
 Returns
 selfNearestNeighbors
The fitted nearest neighbors estimator.

get_params
(deep=True)[source]¶ Get parameters for this estimator.
 Parameters
 deepbool, default=True
If True, will return the parameters for this estimator and contained subobjects that are estimators.
 Returns
 paramsdict
Parameter names mapped to their values.

kneighbors
(X=None, n_neighbors=None, return_distance=True)[source]¶ Finds the Kneighbors of a point.
Returns indices of and distances to the neighbors of each point.
 Parameters
 Xarraylike, shape (n_queries, n_features), or (n_queries, n_indexed) if metric == ‘precomputed’, default=None
The query point or points. If not provided, neighbors of each indexed point are returned. In this case, the query point is not considered its own neighbor.
 n_neighborsint, default=None
Number of neighbors required for each sample. The default is the value passed to the constructor.
 return_distancebool, default=True
Whether or not to return the distances.
 Returns
 neigh_distndarray of shape (n_queries, n_neighbors)
Array representing the lengths to points, only present if return_distance=True
 neigh_indndarray of shape (n_queries, n_neighbors)
Indices of the nearest points in the population matrix.
Examples
In the following example, we construct a NearestNeighbors class from an array representing our data set and ask who’s the closest point to [1,1,1]
>>> samples = [[0., 0., 0.], [0., .5, 0.], [1., 1., .5]] >>> from sklearn.neighbors import NearestNeighbors >>> neigh = NearestNeighbors(n_neighbors=1) >>> neigh.fit(samples) NearestNeighbors(n_neighbors=1) >>> print(neigh.kneighbors([[1., 1., 1.]])) (array([[0.5]]), array([[2]]))
As you can see, it returns [[0.5]], and [[2]], which means that the element is at distance 0.5 and is the third element of samples (indexes start at 0). You can also query for multiple points:
>>> X = [[0., 1., 0.], [1., 0., 1.]] >>> neigh.kneighbors(X, return_distance=False) array([[1], [2]]...)

kneighbors_graph
(X=None, n_neighbors=None, mode='connectivity')[source]¶ Computes the (weighted) graph of kNeighbors for points in X
 Parameters
 Xarraylike of shape (n_queries, n_features), or (n_queries, n_indexed) if metric == ‘precomputed’, default=None
The query point or points. If not provided, neighbors of each indexed point are returned. In this case, the query point is not considered its own neighbor. For
metric='precomputed'
the shape should be (n_queries, n_indexed). Otherwise the shape should be (n_queries, n_features). n_neighborsint, default=None
Number of neighbors for each sample. The default is the value passed to the constructor.
 mode{‘connectivity’, ‘distance’}, default=’connectivity’
Type of returned matrix: ‘connectivity’ will return the connectivity matrix with ones and zeros, in ‘distance’ the edges are Euclidean distance between points.
 Returns
 Asparsematrix of shape (n_queries, n_samples_fit)
n_samples_fit
is the number of samples in the fitted dataA[i, j]
is assigned the weight of edge that connectsi
toj
. The matrix is of CSR format.
Examples
>>> X = [[0], [3], [1]] >>> from sklearn.neighbors import NearestNeighbors >>> neigh = NearestNeighbors(n_neighbors=2) >>> neigh.fit(X) NearestNeighbors(n_neighbors=2) >>> A = neigh.kneighbors_graph(X) >>> A.toarray() array([[1., 0., 1.], [0., 1., 1.], [1., 0., 1.]])

radius_neighbors
(X=None, radius=None, return_distance=True, sort_results=False)[source]¶ Finds the neighbors within a given radius of a point or points.
Return the indices and distances of each point from the dataset lying in a ball with size
radius
around the points of the query array. Points lying on the boundary are included in the results.The result points are not necessarily sorted by distance to their query point.
 Parameters
 Xarraylike of (n_samples, n_features), default=None
The query point or points. If not provided, neighbors of each indexed point are returned. In this case, the query point is not considered its own neighbor.
 radiusfloat, default=None
Limiting distance of neighbors to return. The default is the value passed to the constructor.
 return_distancebool, default=True
Whether or not to return the distances.
 sort_resultsbool, default=False
If True, the distances and indices will be sorted by increasing distances before being returned. If False, the results may not be sorted. If
return_distance=False
, settingsort_results=True
will result in an error.New in version 0.22.
 Returns
 neigh_distndarray of shape (n_samples,) of arrays
Array representing the distances to each point, only present if
return_distance=True
. The distance values are computed according to themetric
constructor parameter. neigh_indndarray of shape (n_samples,) of arrays
An array of arrays of indices of the approximate nearest points from the population matrix that lie within a ball of size
radius
around the query points.
Notes
Because the number of neighbors of each point is not necessarily equal, the results for multiple query points cannot be fit in a standard data array. For efficiency,
radius_neighbors
returns arrays of objects, where each object is a 1D array of indices or distances.Examples
In the following example, we construct a NeighborsClassifier class from an array representing our data set and ask who’s the closest point to [1, 1, 1]:
>>> import numpy as np >>> samples = [[0., 0., 0.], [0., .5, 0.], [1., 1., .5]] >>> from sklearn.neighbors import NearestNeighbors >>> neigh = NearestNeighbors(radius=1.6) >>> neigh.fit(samples) NearestNeighbors(radius=1.6) >>> rng = neigh.radius_neighbors([[1., 1., 1.]]) >>> print(np.asarray(rng[0][0])) [1.5 0.5] >>> print(np.asarray(rng[1][0])) [1 2]
The first array returned contains the distances to all points which are closer than 1.6, while the second array returned contains their indices. In general, multiple points can be queried at the same time.

radius_neighbors_graph
(X=None, radius=None, mode='connectivity', sort_results=False)[source]¶ Computes the (weighted) graph of Neighbors for points in X
Neighborhoods are restricted the points at a distance lower than radius.
 Parameters
 Xarraylike of shape (n_samples, n_features), default=None
The query point or points. If not provided, neighbors of each indexed point are returned. In this case, the query point is not considered its own neighbor.
 radiusfloat, default=None
Radius of neighborhoods. The default is the value passed to the constructor.
 mode{‘connectivity’, ‘distance’}, default=’connectivity’
Type of returned matrix: ‘connectivity’ will return the connectivity matrix with ones and zeros, in ‘distance’ the edges are Euclidean distance between points.
 sort_resultsbool, default=False
If True, in each row of the result, the nonzero entries will be sorted by increasing distances. If False, the nonzero entries may not be sorted. Only used with mode=’distance’.
New in version 0.22.
 Returns
 Asparsematrix of shape (n_queries, n_samples_fit)
n_samples_fit
is the number of samples in the fitted dataA[i, j]
is assigned the weight of edge that connectsi
toj
. The matrix if of format CSR.
See also
Examples
>>> X = [[0], [3], [1]] >>> from sklearn.neighbors import NearestNeighbors >>> neigh = NearestNeighbors(radius=1.5) >>> neigh.fit(X) NearestNeighbors(radius=1.5) >>> A = neigh.radius_neighbors_graph(X) >>> A.toarray() array([[1., 0., 1.], [0., 1., 0.], [1., 0., 1.]])

set_params
(**params)[source]¶ Set the parameters of this estimator.
The method works on simple estimators as well as on nested objects (such as
Pipeline
). The latter have parameters of the form<component>__<parameter>
so that it’s possible to update each component of a nested object. Parameters
 **paramsdict
Estimator parameters.
 Returns
 selfestimator instance
Estimator instance.