sklearn.neighbors
.RadiusNeighborsTransformer¶

class
sklearn.neighbors.
RadiusNeighborsTransformer
(*, mode='distance', radius=1.0, algorithm='auto', leaf_size=30, metric='minkowski', p=2, metric_params=None, n_jobs=1)[source]¶ Transform X into a (weighted) graph of neighbors nearer than a radius
The transformed data is a sparse graph as returned by radius_neighbors_graph.
Read more in the User Guide.
New in version 0.22.
 Parameters
 mode{‘distance’, ‘connectivity’}, default=’distance’
Type of returned matrix: ‘connectivity’ will return the connectivity matrix with ones and zeros, and ‘distance’ will return the distances between neighbors according to the given metric.
 radiusfloat, default=1.
Radius of neighborhood in the transformed sparse graph.
 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’
metric to use for distance computation. Any metric from scikitlearn 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 scikitlearn: [‘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.
 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=1
The number of parallel jobs to run for neighbors search. If
1
, then the number of jobs is set to the number of CPU cores.
 Attributes
 effective_metric_str or callable
The distance metric used. It will be same as the
metric
parameter or a synonym of it, e.g. ‘euclidean’ if themetric
parameter set to ‘minkowski’ andp
parameter set to 2. effective_metric_params_dict
Additional keyword arguments for the metric function. For most metrics will be same with
metric_params
parameter, but may also contain thep
parameter value if theeffective_metric_
attribute is set to ‘minkowski’. n_samples_fit_int
Number of samples in the fitted data.
Examples
>>> from sklearn.cluster import DBSCAN >>> from sklearn.neighbors import RadiusNeighborsTransformer >>> from sklearn.pipeline import make_pipeline >>> estimator = make_pipeline( ... RadiusNeighborsTransformer(radius=42.0, mode='distance'), ... DBSCAN(min_samples=30, metric='precomputed'))
Methods
fit
(X[, y])Fit the radius neighbors transformer from the training dataset.
fit_transform
(X[, y])Fit to data, then transform it.
get_params
([deep])Get parameters for this estimator.
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.
transform
(X)Computes the (weighted) graph of Neighbors for points in X

fit
(X, y=None)[source]¶ Fit the radius neighbors transformer 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.
 Returns
 selfRadiusNeighborsTransformer
The fitted radius neighbors transformer.

fit_transform
(X, y=None)[source]¶ Fit to data, then transform it.
Fits transformer to X and y with optional parameters fit_params and returns a transformed version of X.
 Parameters
 Xarraylike of shape (n_samples, n_features)
Training set.
 yignored
 Returns
 Xtsparse matrix of shape (n_samples, n_samples)
Xt[i, j] is assigned the weight of edge that connects i to j. Only the neighbors have an explicit value. The diagonal is always explicit. The matrix is of CSR format.

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.

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.

transform
(X)[source]¶ Computes the (weighted) graph of Neighbors for points in X
 Parameters
 Xarraylike of shape (n_samples_transform, n_features)
Sample data
 Returns
 Xtsparse matrix of shape (n_samples_transform, n_samples_fit)
Xt[i, j] is assigned the weight of edge that connects i to j. Only the neighbors have an explicit value. The diagonal is always explicit. The matrix is of CSR format.