Source code for geomstats.learning.agglomerative_hierarchical_clustering

"""The Agglomerative Hierarchical Clustering (AHC) on manifolds.

Lead author: Yann Cabanes.

from sklearn.cluster import AgglomerativeClustering

import geomstats.backend as gs

[docs] class AgglomerativeHierarchicalClustering(AgglomerativeClustering): """The Agglomerative Hierarchical Clustering on manifolds. Recursively merges the pair of clusters that minimally increases a given linkage distance. Parameters ---------- space : Manifold Equipped manifold. n_clusters : int or None, default=2 The number of clusters to find. It must be ``None`` if ``distance_threshold`` is not ``None``. memory : str or object, default=None Used to cache the output of the computation of the tree. By default, no caching is done. If a string is given, it is the path to the caching directory. connectivity : array-like or callable, default=None Connectivity matrix. Defines for each sample the neighboring samples following a given structure of the data. This can be a connectivity matrix itself or a callable that transforms the data into a connectivity matrix. Default is None, i.e, the hierarchical clustering algorithm is unstructured. compute_full_tree : 'auto' or bool, default='auto' Stop early the construction of the tree at n_clusters. This is useful to decrease computation time if the number of clusters is not small compared to the number of samples. This option is useful only when specifying a connectivity matrix. Note also that when varying the number of clusters and using caching, it may be advantageous to compute the full tree. It must be ``True`` if ``distance_threshold`` is not ``None``. By default `compute_full_tree` is 'auto', which is equivalent to `True` when `distance_threshold` is not `None` or that `n_clusters` is inferior to the maximum between 100 or `0.02 * n_samples`. Otherwise, 'auto' is equivalent to `False`. linkage : {'ward', 'complete', 'average', 'single'}, default='average' Which linkage criterion to use. The linkage criterion determines which distance to use between sets of observation. The algorithm will merge the pairs of cluster that minimize this criterion. - average uses the average of the distances of each observation of the two sets. - complete or maximum linkage uses the maximum distances between all observations of the two sets. - single uses the minimum of the distances between all observations of the two sets. - ward minimizes the variance of the clusters being merged. It works for the 'euclidean' distance only. distance_threshold : float, default=None The linkage distance threshold above which, clusters will not be merged. If not ``None``, ``n_clusters`` must be ``None`` and ``compute_full_tree`` must be ``True``. Attributes ---------- n_clusters_ : int The number of clusters found by the algorithm. If ``distance_threshold=None``, it will be equal to the given ``n_clusters``. labels_ : ndarray, shape=[...,] Cluster labels for each point. n_leaves_ : int Number of leaves in the hierarchical tree. n_connected_components_ : int The estimated number of connected components in the graph. children_ : array-like, shape=[n_samples-1, 2] The children of each non-leaf node. Values less than `n_samples` correspond to leaves of the tree which are the original samples. A node `i` greater than or equal to `n_samples` is a non-leaf node and has children `children_[i - n_samples]`. Alternatively at the i-th iteration, children[i][0] and children[i][1] are merged to form node `n_samples + i`. References ---------- This algorithm uses the scikit-learn library: cluster/ """ def __init__( self, space, n_clusters=2, memory=None, connectivity=None, compute_full_tree="auto", linkage="average", distance_threshold=None, ): def affinity(data): data = gs.from_numpy(data) n_samples = data.shape[0] affinity_matrix = gs.zeros([n_samples, n_samples]) for i_sample in range(1, n_samples): affinity_matrix[i_sample, :i_sample] = data[i_sample, ...], data[:i_sample, ...] ).reshape(i_sample) affinity_matrix = affinity_matrix + affinity_matrix.T return affinity_matrix = space super().__init__( n_clusters=n_clusters, metric=affinity, memory=memory, connectivity=connectivity, compute_full_tree=compute_full_tree, linkage=linkage, distance_threshold=distance_threshold, )