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sklearn.neighbors .KNeighborsClassifier¶

class sklearn.neighbors. KNeighborsClassifier ( n_neighbors = 5 , * , weights = ‘uniform’ , algorithm = ‘auto’ , leaf_size = 30 , p = 2 , metric = ‘minkowski’ , metric_params = None , n_jobs = None ) [source] ¶

Classifier implementing the k-nearest neighbors vote.

Parameters : n_neighbors int, default=5

Number of neighbors to use by default for kneighbors queries.

weights , callable or None, default=’uniform’

Weight function used in prediction. Possible values:

  • ‘uniform’ : uniform weights. All points in each neighborhood are weighted equally.
  • ‘distance’ : weight points by the inverse of their distance. in this case, closer neighbors of a query point will have a greater influence than neighbors which are further away.
  • [callable] : a user-defined function which accepts an array of distances, and returns an array of the same shape containing the weights.

Algorithm used to compute the nearest neighbors:

  • ‘ball_tree’ will use BallTree
  • ‘kd_tree’ will use KDTree
  • ‘brute’ will use a brute-force 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_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.

p int, 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 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 and the metrics listed in distance_metrics for valid metric values.

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.

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.

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. None means 1 unless in a joblib.parallel_backend context. -1 means using all processors. See Glossary for more details. Doesn’t affect fit method.

Attributes : classes_ array of shape (n_classes,)

Class labels known to the classifier

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effective_metric_ str or callble

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 fit .

Names of features seen during fit . Defined only when X has feature names that are all strings.

Number of samples in the fitted data.

outputs_2d_ bool

False when y ’s shape is (n_samples, ) or (n_samples, 1) during fit otherwise True.

Classifier based on neighbors within a fixed radius.

Regression based on k-nearest neighbors.

Regression based on neighbors within a fixed radius.

Unsupervised learner for implementing neighbor searches.

See Nearest Neighbors in the online documentation for a discussion of the choice of algorithm and leaf_size .

Regarding the Nearest Neighbors algorithms, if it is found that two neighbors, neighbor k+1 and k , have identical distances but different labels, the results will depend on the ordering of the training data.

>>> X = [[0], [1], [2], [3]] >>> y = [0, 0, 1, 1] >>> from sklearn.neighbors import KNeighborsClassifier >>> neigh = KNeighborsClassifier(n_neighbors=3) >>> neigh.fit(X, y) KNeighborsClassifier(. ) >>> print(neigh.predict([[1.1]])) [0] >>> print(neigh.predict_proba([[0.9]])) [[0.666. 0.333. ]] 

Fit the k-nearest neighbors classifier from the training dataset.

Get metadata routing of this object.

Get parameters for this estimator.

kneighbors ([X, n_neighbors, return_distance])

Find the K-neighbors of a point.

Compute the (weighted) graph of k-Neighbors for points in X.

Predict the class labels for the provided data.

Return probability estimates for the test data X.

Return the mean accuracy on the given test data and labels.

Set the parameters of this estimator.

Request metadata passed to the score method.

Fit the k-nearest neighbors classifier from the training dataset.

Parameters : X of shape (n_samples, n_features) or (n_samples, n_samples) if metric=’precomputed’

y of shape (n_samples,) or (n_samples, n_outputs)

Returns : self KNeighborsClassifier

The fitted k-nearest neighbors classifier.

Get metadata routing of this object.

Please check User Guide on how the routing mechanism works.

Returns : routing MetadataRequest

A MetadataRequest encapsulating routing information.

Get parameters for this estimator.

Parameters : deep bool, default=True

If True, will return the parameters for this estimator and contained subobjects that are estimators.

Returns : params dict

Parameter names mapped to their values.

kneighbors ( X = None , n_neighbors = None , return_distance = True ) [source] ¶

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Find the K-neighbors of a point.

Returns indices of and distances to the neighbors of each point.

Parameters : X , 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_neighbors int, default=None

Number of neighbors required for each sample. The default is the value passed to the constructor.

return_distance bool, default=True

Whether or not to return the distances.

Returns : neigh_dist ndarray of shape (n_queries, n_neighbors)

Array representing the lengths to points, only present if return_distance=True.

neigh_ind ndarray of shape (n_queries, n_neighbors)

Indices of the nearest points in the population matrix.

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]]. ) 

Compute the (weighted) graph of k-Neighbors for points in X.

Parameters : X 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_neighbors int, default=None

Number of neighbors for each sample. The default is the value passed to the constructor.

mode , default=’connectivity’

Type of returned matrix: ‘connectivity’ will return the connectivity matrix with ones and zeros, in ‘distance’ the edges are distances between points, type of distance depends on the selected metric parameter in NearestNeighbors class.

Returns : A sparse-matrix of shape (n_queries, n_samples_fit)

n_samples_fit is the number of samples in the fitted data. A[i, j] gives the weight of the edge connecting i to j . The matrix is of CSR format.

Compute the (weighted) graph of Neighbors for points in X.

>>> 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.]]) 

Predict the class labels for the provided data.

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Parameters : X of shape (n_queries, n_features), or (n_queries, n_indexed) if metric == ‘precomputed’

Returns : y ndarray of shape (n_queries,) or (n_queries, n_outputs)

Class labels for each data sample.

Return probability estimates for the test data X.

Parameters : X of shape (n_queries, n_features), or (n_queries, n_indexed) if metric == ‘precomputed’

Returns : p ndarray of shape (n_queries, n_classes), or a list of n_outputs of such arrays if n_outputs > 1.

The class probabilities of the input samples. Classes are ordered by lexicographic order.

Return the mean accuracy on the given test data and labels.

In multi-label classification, this is the subset accuracy which is a harsh metric since you require for each sample that each label set be correctly predicted.

Parameters : X array-like of shape (n_samples, n_features)

y array-like of shape (n_samples,) or (n_samples, n_outputs)

sample_weight array-like of shape (n_samples,), default=None

Returns : score float

Mean accuracy of self.predict(X) w.r.t. y .

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 __ so that it’s possible to update each component of a nested object.

Parameters : **params dict

Returns : self estimator instance

Request metadata passed to the score method.

Note that this method is only relevant if enable_metadata_routing=True (see sklearn.set_config ). Please see User Guide on how the routing mechanism works.

The options for each parameter are:

  • True : metadata is requested, and passed to score if provided. The request is ignored if metadata is not provided.
  • False : metadata is not requested and the meta-estimator will not pass it to score .
  • None : metadata is not requested, and the meta-estimator will raise an error if the user provides it.
  • str : metadata should be passed to the meta-estimator with this given alias instead of the original name.

The default ( sklearn.utils.metadata_routing.UNCHANGED ) retains the existing request. This allows you to change the request for some parameters and not others.

This method is only relevant if this estimator is used as a sub-estimator of a meta-estimator, e.g. used inside a pipeline.Pipeline . Otherwise it has no effect.

Parameters : sample_weight str, True, False, or None, default=sklearn.utils.metadata_routing.UNCHANGED

Metadata routing for sample_weight parameter in score .

Returns : self object

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