Spectral biclustering (Kluger, 2003).
Partitions rows and columns under the assumption that the data has an underlying checkerboard structure. For instance, if there are two row partitions and three column partitions, each row will belong to three biclusters, and each column will belong to two biclusters. The outer product of the corresponding row and column label vectors gives this checkerboard structure.
Read more in the :ref:`User Guide <spectral_biclustering>`.
Parameters ---------- n_clusters : int or tuple (n_row_clusters, n_column_clusters), default=3 The number of row and column clusters in the checkerboard structure.
method : 'bistochastic', 'scale', 'log'
, default='bistochastic' Method of normalizing and converting singular vectors into biclusters. May be one of 'scale', 'bistochastic', or 'log'. The authors recommend using 'log'. If the data is sparse, however, log normalization will not work, which is why the default is 'bistochastic'.
.. warning:: if `method='log'`, the data must be sparse.
n_components : int, default=6 Number of singular vectors to check.
n_best : int, default=3 Number of best singular vectors to which to project the data for clustering.
svd_method : 'randomized', 'arpack'
, default='randomized' Selects the algorithm for finding singular vectors. May be 'randomized' or 'arpack'. If 'randomized', uses :func:`~sklearn.utils.extmath.randomized_svd`, which may be faster for large matrices. If 'arpack', uses `scipy.sparse.linalg.svds`, which is more accurate, but possibly slower in some cases.
n_svd_vecs : int, default=None Number of vectors to use in calculating the SVD. Corresponds to `ncv` when `svd_method=arpack` and `n_oversamples` when `svd_method` is 'randomized`.
mini_batch : bool, default=False Whether to use mini-batch k-means, which is faster but may get different results.
init : 'k-means++', 'random'
or ndarray of (n_clusters, n_features), default='k-means++' Method for initialization of k-means algorithm; defaults to 'k-means++'.
n_init : int, default=10 Number of random initializations that are tried with the k-means algorithm.
If mini-batch k-means is used, the best initialization is chosen and the algorithm runs once. Otherwise, the algorithm is run for each initialization and the best solution chosen.
n_jobs : int, default=None The number of jobs to use for the computation. This works by breaking down the pairwise matrix into n_jobs even slices and computing them in parallel.
``None`` means 1 unless in a :obj:`joblib.parallel_backend` context. ``-1`` means using all processors. See :term:`Glossary <n_jobs>` for more details.
.. deprecated:: 0.23 ``n_jobs`` was deprecated in version 0.23 and will be removed in 0.25.
random_state : int, RandomState instance, default=None Used for randomizing the singular value decomposition and the k-means initialization. Use an int to make the randomness deterministic. See :term:`Glossary <random_state>`.
Attributes ---------- rows_ : array-like of shape (n_row_clusters, n_rows) Results of the clustering. `rowsi, r
` is True if cluster `i` contains row `r`. Available only after calling ``fit``.
columns_ : array-like of shape (n_column_clusters, n_columns) Results of the clustering, like `rows`.
row_labels_ : array-like of shape (n_rows,) Row partition labels.
column_labels_ : array-like of shape (n_cols,) Column partition labels.
Examples -------- >>> from sklearn.cluster import SpectralBiclustering >>> import numpy as np >>> X = np.array([1, 1], [2, 1], [1, 0],
... [4, 7], [3, 5], [3, 6]
) >>> clustering = SpectralBiclustering(n_clusters=2, random_state=0).fit(X) >>> clustering.row_labels_ array(1, 1, 1, 0, 0, 0
, dtype=int32) >>> clustering.column_labels_ array(0, 1
, dtype=int32) >>> clustering SpectralBiclustering(n_clusters=2, random_state=0)
References ----------
* Kluger, Yuval, et. al., 2003. `Spectral biclustering of microarray data: coclustering genes and conditions <http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.135.1608>`__.