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Traktor/myenv/Lib/site-packages/sklearn/neighbors/_graph.py

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"""Nearest Neighbors graph functions"""
# Author: Jake Vanderplas <vanderplas@astro.washington.edu>
# Tom Dupre la Tour
#
# License: BSD 3 clause (C) INRIA, University of Amsterdam
import itertools
from ..base import ClassNamePrefixFeaturesOutMixin, TransformerMixin, _fit_context
from ..utils._param_validation import (
Integral,
Interval,
Real,
StrOptions,
validate_params,
)
from ..utils.validation import check_is_fitted
from ._base import VALID_METRICS, KNeighborsMixin, NeighborsBase, RadiusNeighborsMixin
from ._unsupervised import NearestNeighbors
def _check_params(X, metric, p, metric_params):
"""Check the validity of the input parameters"""
params = zip(["metric", "p", "metric_params"], [metric, p, metric_params])
est_params = X.get_params()
for param_name, func_param in params:
if func_param != est_params[param_name]:
raise ValueError(
"Got %s for %s, while the estimator has %s for the same parameter."
% (func_param, param_name, est_params[param_name])
)
def _query_include_self(X, include_self, mode):
"""Return the query based on include_self param"""
if include_self == "auto":
include_self = mode == "connectivity"
# it does not include each sample as its own neighbors
if not include_self:
X = None
return X
@validate_params(
{
"X": ["array-like", "sparse matrix", KNeighborsMixin],
"n_neighbors": [Interval(Integral, 1, None, closed="left")],
"mode": [StrOptions({"connectivity", "distance"})],
"metric": [StrOptions(set(itertools.chain(*VALID_METRICS.values()))), callable],
"p": [Interval(Real, 0, None, closed="right"), None],
"metric_params": [dict, None],
"include_self": ["boolean", StrOptions({"auto"})],
"n_jobs": [Integral, None],
},
prefer_skip_nested_validation=False, # metric is not validated yet
)
def kneighbors_graph(
X,
n_neighbors,
*,
mode="connectivity",
metric="minkowski",
p=2,
metric_params=None,
include_self=False,
n_jobs=None,
):
"""Compute the (weighted) graph of k-Neighbors for points in X.
Read more in the :ref:`User Guide <unsupervised_neighbors>`.
Parameters
----------
X : {array-like, sparse matrix} of shape (n_samples, n_features)
Sample data.
n_neighbors : int
Number of neighbors for each sample.
mode : {'connectivity', 'distance'}, default='connectivity'
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.
metric : str, default='minkowski'
Metric to use for distance computation. Default is "minkowski", which
results in the standard Euclidean distance when p = 2. See the
documentation of `scipy.spatial.distance
<https://docs.scipy.org/doc/scipy/reference/spatial.distance.html>`_ and
the metrics listed in
:class:`~sklearn.metrics.pairwise.distance_metrics` for valid metric
values.
p : float, default=2
Power parameter for the Minkowski metric. 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. This parameter is expected
to be positive.
metric_params : dict, default=None
Additional keyword arguments for the metric function.
include_self : bool or 'auto', default=False
Whether or not to mark each sample as the first nearest neighbor to
itself. If 'auto', then True is used for mode='connectivity' and False
for mode='distance'.
n_jobs : int, default=None
The number of parallel jobs to run for neighbors search.
``None`` means 1 unless in a :obj:`joblib.parallel_backend` context.
``-1`` means using all processors. See :term:`Glossary <n_jobs>`
for more details.
Returns
-------
A : sparse matrix of shape (n_samples, n_samples)
Graph where A[i, j] is assigned the weight of edge that
connects i to j. The matrix is of CSR format.
See Also
--------
radius_neighbors_graph: Compute the (weighted) graph of Neighbors for points in X.
Examples
--------
>>> X = [[0], [3], [1]]
>>> from sklearn.neighbors import kneighbors_graph
>>> A = kneighbors_graph(X, 2, mode='connectivity', include_self=True)
>>> A.toarray()
array([[1., 0., 1.],
[0., 1., 1.],
[1., 0., 1.]])
"""
if not isinstance(X, KNeighborsMixin):
X = NearestNeighbors(
n_neighbors=n_neighbors,
metric=metric,
p=p,
metric_params=metric_params,
n_jobs=n_jobs,
).fit(X)
else:
_check_params(X, metric, p, metric_params)
query = _query_include_self(X._fit_X, include_self, mode)
return X.kneighbors_graph(X=query, n_neighbors=n_neighbors, mode=mode)
@validate_params(
{
"X": ["array-like", "sparse matrix", RadiusNeighborsMixin],
"radius": [Interval(Real, 0, None, closed="both")],
"mode": [StrOptions({"connectivity", "distance"})],
"metric": [StrOptions(set(itertools.chain(*VALID_METRICS.values()))), callable],
"p": [Interval(Real, 0, None, closed="right"), None],
"metric_params": [dict, None],
"include_self": ["boolean", StrOptions({"auto"})],
"n_jobs": [Integral, None],
},
prefer_skip_nested_validation=False, # metric is not validated yet
)
def radius_neighbors_graph(
X,
radius,
*,
mode="connectivity",
metric="minkowski",
p=2,
metric_params=None,
include_self=False,
n_jobs=None,
):
"""Compute the (weighted) graph of Neighbors for points in X.
Neighborhoods are restricted the points at a distance lower than
radius.
Read more in the :ref:`User Guide <unsupervised_neighbors>`.
Parameters
----------
X : {array-like, sparse matrix} of shape (n_samples, n_features)
Sample data.
radius : float
Radius of neighborhoods.
mode : {'connectivity', 'distance'}, default='connectivity'
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.
metric : str, default='minkowski'
Metric to use for distance computation. Default is "minkowski", which
results in the standard Euclidean distance when p = 2. See the
documentation of `scipy.spatial.distance
<https://docs.scipy.org/doc/scipy/reference/spatial.distance.html>`_ and
the metrics listed in
:class:`~sklearn.metrics.pairwise.distance_metrics` for valid metric
values.
p : float, default=2
Power parameter for the Minkowski metric. 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_params : dict, default=None
Additional keyword arguments for the metric function.
include_self : bool or 'auto', default=False
Whether or not to mark each sample as the first nearest neighbor to
itself. If 'auto', then True is used for mode='connectivity' and False
for mode='distance'.
n_jobs : int, default=None
The number of parallel jobs to run for neighbors search.
``None`` means 1 unless in a :obj:`joblib.parallel_backend` context.
``-1`` means using all processors. See :term:`Glossary <n_jobs>`
for more details.
Returns
-------
A : sparse matrix of shape (n_samples, n_samples)
Graph where A[i, j] is assigned the weight of edge that connects
i to j. The matrix is of CSR format.
See Also
--------
kneighbors_graph: Compute the weighted graph of k-neighbors for points in X.
Examples
--------
>>> X = [[0], [3], [1]]
>>> from sklearn.neighbors import radius_neighbors_graph
>>> A = radius_neighbors_graph(X, 1.5, mode='connectivity',
... include_self=True)
>>> A.toarray()
array([[1., 0., 1.],
[0., 1., 0.],
[1., 0., 1.]])
"""
if not isinstance(X, RadiusNeighborsMixin):
X = NearestNeighbors(
radius=radius,
metric=metric,
p=p,
metric_params=metric_params,
n_jobs=n_jobs,
).fit(X)
else:
_check_params(X, metric, p, metric_params)
query = _query_include_self(X._fit_X, include_self, mode)
return X.radius_neighbors_graph(query, radius, mode)
class KNeighborsTransformer(
ClassNamePrefixFeaturesOutMixin, KNeighborsMixin, TransformerMixin, NeighborsBase
):
"""Transform X into a (weighted) graph of k nearest neighbors.
The transformed data is a sparse graph as returned by kneighbors_graph.
Read more in the :ref:`User Guide <neighbors_transformer>`.
.. versionadded:: 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.
n_neighbors : int, default=5
Number of neighbors for each sample in the transformed sparse graph.
For compatibility reasons, as each sample is considered as its own
neighbor, one extra neighbor will be computed when mode == 'distance'.
In this case, the sparse graph contains (n_neighbors + 1) neighbors.
algorithm : {'auto', 'ball_tree', 'kd_tree', 'brute'}, default='auto'
Algorithm used to compute the nearest neighbors:
- 'ball_tree' will use :class:`BallTree`
- 'kd_tree' will use :class:`KDTree`
- 'brute' will use a brute-force search.
- 'auto' will attempt to decide the most appropriate algorithm
based on the values passed to :meth:`fit` method.
Note: fitting on sparse input will override the setting of
this parameter, using brute force.
leaf_size : int, 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.
metric : str or callable, default='minkowski'
Metric to use for distance computation. Default is "minkowski", which
results in the standard Euclidean distance when p = 2. See the
documentation of `scipy.spatial.distance
<https://docs.scipy.org/doc/scipy/reference/spatial.distance.html>`_ and
the metrics listed in
:class:`~sklearn.metrics.pairwise.distance_metrics` for valid metric
values.
If metric is a callable function, it takes two arrays representing 1D
vectors as inputs and must return one value indicating the distance
between those vectors. This works for Scipy's metrics, but is less
efficient than passing the metric name as a string.
Distance matrices are not supported.
p : float, 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.
This parameter is expected to be positive.
metric_params : dict, default=None
Additional keyword arguments for the metric function.
n_jobs : int, default=None
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 the `metric` parameter set to
'minkowski' and `p` 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 the
`p` parameter value if the `effective_metric_` attribute is set to
'minkowski'.
n_features_in_ : int
Number of features seen during :term:`fit`.
.. versionadded:: 0.24
feature_names_in_ : ndarray of shape (`n_features_in_`,)
Names of features seen during :term:`fit`. Defined only when `X`
has feature names that are all strings.
.. versionadded:: 1.0
n_samples_fit_ : int
Number of samples in the fitted data.
See Also
--------
kneighbors_graph : Compute the weighted graph of k-neighbors for
points in X.
RadiusNeighborsTransformer : Transform X into a weighted graph of
neighbors nearer than a radius.
Notes
-----
For an example of using :class:`~sklearn.neighbors.KNeighborsTransformer`
in combination with :class:`~sklearn.manifold.TSNE` see
:ref:`sphx_glr_auto_examples_neighbors_approximate_nearest_neighbors.py`.
Examples
--------
>>> from sklearn.datasets import load_wine
>>> from sklearn.neighbors import KNeighborsTransformer
>>> X, _ = load_wine(return_X_y=True)
>>> X.shape
(178, 13)
>>> transformer = KNeighborsTransformer(n_neighbors=5, mode='distance')
>>> X_dist_graph = transformer.fit_transform(X)
>>> X_dist_graph.shape
(178, 178)
"""
_parameter_constraints: dict = {
**NeighborsBase._parameter_constraints,
"mode": [StrOptions({"distance", "connectivity"})],
}
_parameter_constraints.pop("radius")
def __init__(
self,
*,
mode="distance",
n_neighbors=5,
algorithm="auto",
leaf_size=30,
metric="minkowski",
p=2,
metric_params=None,
n_jobs=None,
):
super(KNeighborsTransformer, self).__init__(
n_neighbors=n_neighbors,
radius=None,
algorithm=algorithm,
leaf_size=leaf_size,
metric=metric,
p=p,
metric_params=metric_params,
n_jobs=n_jobs,
)
self.mode = mode
@_fit_context(
# KNeighborsTransformer.metric is not validated yet
prefer_skip_nested_validation=False
)
def fit(self, X, y=None):
"""Fit the k-nearest neighbors transformer from the training dataset.
Parameters
----------
X : {array-like, sparse matrix} of shape (n_samples, n_features) or \
(n_samples, n_samples) if metric='precomputed'
Training data.
y : Ignored
Not used, present for API consistency by convention.
Returns
-------
self : KNeighborsTransformer
The fitted k-nearest neighbors transformer.
"""
self._fit(X)
self._n_features_out = self.n_samples_fit_
return self
def transform(self, X):
"""Compute the (weighted) graph of Neighbors for points in X.
Parameters
----------
X : array-like of shape (n_samples_transform, n_features)
Sample data.
Returns
-------
Xt : sparse 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.
"""
check_is_fitted(self)
add_one = self.mode == "distance"
return self.kneighbors_graph(
X, mode=self.mode, n_neighbors=self.n_neighbors + add_one
)
def fit_transform(self, X, y=None):
"""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
----------
X : array-like of shape (n_samples, n_features)
Training set.
y : Ignored
Not used, present for API consistency by convention.
Returns
-------
Xt : sparse 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.
"""
return self.fit(X).transform(X)
def _more_tags(self):
return {
"_xfail_checks": {
"check_methods_sample_order_invariance": "check is not applicable."
}
}
class RadiusNeighborsTransformer(
ClassNamePrefixFeaturesOutMixin,
RadiusNeighborsMixin,
TransformerMixin,
NeighborsBase,
):
"""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 :ref:`User Guide <neighbors_transformer>`.
.. versionadded:: 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.
radius : float, default=1.0
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 :class:`BallTree`
- 'kd_tree' will use :class:`KDTree`
- 'brute' will use a brute-force search.
- 'auto' will attempt to decide the most appropriate algorithm
based on the values passed to :meth:`fit` method.
Note: fitting on sparse input will override the setting of
this parameter, using brute force.
leaf_size : int, 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.
metric : str or callable, default='minkowski'
Metric to use for distance computation. Default is "minkowski", which
results in the standard Euclidean distance when p = 2. See the
documentation of `scipy.spatial.distance
<https://docs.scipy.org/doc/scipy/reference/spatial.distance.html>`_ and
the metrics listed in
:class:`~sklearn.metrics.pairwise.distance_metrics` for valid metric
values.
If metric is a callable function, it takes two arrays representing 1D
vectors as inputs and must return one value indicating the distance
between those vectors. This works for Scipy's metrics, but is less
efficient than passing the metric name as a string.
Distance matrices are not supported.
p : float, 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.
This parameter is expected to be positive.
metric_params : dict, default=None
Additional keyword arguments for the metric function.
n_jobs : int, default=None
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 the `metric` parameter set to
'minkowski' and `p` 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 the
`p` parameter value if the `effective_metric_` attribute is set to
'minkowski'.
n_features_in_ : int
Number of features seen during :term:`fit`.
.. versionadded:: 0.24
feature_names_in_ : ndarray of shape (`n_features_in_`,)
Names of features seen during :term:`fit`. Defined only when `X`
has feature names that are all strings.
.. versionadded:: 1.0
n_samples_fit_ : int
Number of samples in the fitted data.
See Also
--------
kneighbors_graph : Compute the weighted graph of k-neighbors for
points in X.
KNeighborsTransformer : Transform X into a weighted graph of k
nearest neighbors.
Examples
--------
>>> import numpy as np
>>> from sklearn.datasets import load_wine
>>> from sklearn.cluster import DBSCAN
>>> from sklearn.neighbors import RadiusNeighborsTransformer
>>> from sklearn.pipeline import make_pipeline
>>> X, _ = load_wine(return_X_y=True)
>>> estimator = make_pipeline(
... RadiusNeighborsTransformer(radius=42.0, mode='distance'),
... DBSCAN(eps=25.0, metric='precomputed'))
>>> X_clustered = estimator.fit_predict(X)
>>> clusters, counts = np.unique(X_clustered, return_counts=True)
>>> print(counts)
[ 29 15 111 11 12]
"""
_parameter_constraints: dict = {
**NeighborsBase._parameter_constraints,
"mode": [StrOptions({"distance", "connectivity"})],
}
_parameter_constraints.pop("n_neighbors")
def __init__(
self,
*,
mode="distance",
radius=1.0,
algorithm="auto",
leaf_size=30,
metric="minkowski",
p=2,
metric_params=None,
n_jobs=None,
):
super(RadiusNeighborsTransformer, self).__init__(
n_neighbors=None,
radius=radius,
algorithm=algorithm,
leaf_size=leaf_size,
metric=metric,
p=p,
metric_params=metric_params,
n_jobs=n_jobs,
)
self.mode = mode
@_fit_context(
# RadiusNeighborsTransformer.metric is not validated yet
prefer_skip_nested_validation=False
)
def fit(self, X, y=None):
"""Fit the radius neighbors transformer from the training dataset.
Parameters
----------
X : {array-like, sparse matrix} of shape (n_samples, n_features) or \
(n_samples, n_samples) if metric='precomputed'
Training data.
y : Ignored
Not used, present for API consistency by convention.
Returns
-------
self : RadiusNeighborsTransformer
The fitted radius neighbors transformer.
"""
self._fit(X)
self._n_features_out = self.n_samples_fit_
return self
def transform(self, X):
"""Compute the (weighted) graph of Neighbors for points in X.
Parameters
----------
X : array-like of shape (n_samples_transform, n_features)
Sample data.
Returns
-------
Xt : sparse 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.
"""
check_is_fitted(self)
return self.radius_neighbors_graph(X, mode=self.mode, sort_results=True)
def fit_transform(self, X, y=None):
"""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
----------
X : array-like of shape (n_samples, n_features)
Training set.
y : Ignored
Not used, present for API consistency by convention.
Returns
-------
Xt : sparse 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.
"""
return self.fit(X).transform(X)
def _more_tags(self):
return {
"_xfail_checks": {
"check_methods_sample_order_invariance": "check is not applicable."
}
}
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