NearestNeighbors

class hubness.neighbors.NearestNeighbors(n_neighbors=5, radius=1.0, algorithm: str = 'auto', algorithm_params: dict = None, hubness: str = None, hubness_params: dict = None, leaf_size=30, metric='minkowski', p=2, metric_params=None, n_jobs=None, **kwargs)

Bases: hubness.neighbors.base.NeighborsBase, hubness.neighbors.base.KNeighborsMixin, hubness.neighbors.base.RadiusNeighborsMixin, sklearn.neighbors.base.UnsupervisedMixin

Unsupervised learner for implementing neighbor searches.

Read more in the User Guide.

Parameters
  • n_neighbors (int, optional (default = 5)) – Number of neighbors to use by default for kneighbors() queries.

  • radius (float, optional (default = 1.0)) – Range of parameter space to use by default for radius_neighbors() queries.

  • algorithm ({'auto', 'hnsw', 'lsh', 'ball_tree', 'kd_tree', 'brute'}, optional) –

    Algorithm used to compute the nearest neighbors:

    • ’hnsw’ will use HNSW

    • ’lsh’ will use LSH

    • ’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.

  • algorithm_params (dict, optional) – Override default parameters of the NN algorithm. For example, with algorithm=’lsh’ and algorithm_params={n_candidates: 100} one hundred approximate neighbors are retrieved with LSH. If parameter hubness is set, the candidate neighbors are further reordered with hubness reduction. Finally, n_neighbors objects are used from the (optionally reordered) candidates.

  • TODO add all supported hubness reduction methods (#) –

  • hubness ({'mutual_proximity', 'local_scaling', 'dis_sim_local', None}, optional) – Hubness reduction algorithm - ‘mutual_proximity’ or ‘mp’ will use MutualProximity' - 'local_scaling' or 'ls' will use :class:`LocalScaling - ‘dis_sim_local’ or ‘dsl’ will use DisSimLocal If None, no hubness reduction will be performed (=vanilla kNN).

  • hubness_params (dict, optional) – Override default parameters of the selected hubness reduction algorithm. For example, with hubness=’mp’ and hubness_params={‘method’: ‘normal’} a mutual proximity variant is used, which models distance distributions with independent Gaussians.

  • leaf_size (int, optional (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 (string or callable, default 'minkowski') –

    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.

  • p (integer, optional (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_params (dict, optional (default = None)) – Additional keyword arguments for the metric function.

  • n_jobs (int or None, optional (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.

Examples

>>> import numpy as np
>>> from hubness.neighbors import NearestNeighbors
>>> samples = [[0, 0, 2], [1, 0, 0], [0, 0, 1]]
>>> neigh = NearestNeighbors(2, 0.4)
>>> neigh.fit(samples)  #doctest: +ELLIPSIS
NearestNeighbors(...)
>>> neigh.kneighbors([[0, 0, 1.3]], 2, return_distance=False)
... #doctest: +ELLIPSIS
array([[2, 0]]...)
>>> nbrs = neigh.radius_neighbors([[0, 0, 1.3]], 0.4, return_distance=False)
>>> np.asarray(nbrs[0][0])
array(2)

Notes

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

https://en.wikipedia.org/wiki/K-nearest_neighbor_algorithm