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z0!xb57$Dcf`4p&!@#mvxX~64}Xj^zw;QEWUg*nm5>kRY(#xo(gC|OqoGzi8w!W$17 zc`^*hH$fU7peB$wiPnQM5OiT>JTfnYNImjh1;mcoGr;(09!{TvdS4j-1qC`oIGR9Y2W;sL zrfPtJ)ff2t2Pr^bV4rT{=iv_-`GDX-KlB}D8ZvcgIv{;C(9!3yb@g?426|xKqes^P zT*l@a>du;JNHe7CgN1}XovyD7j0jB!_$7GWfS4lw%tAJ?D}tN@g9vjrcrd^?O=`*% JgL#Hh{|8KVPYeJ6 diff --git a/doc/citations b/doc/citations deleted file mode 100644 index bc297ca..0000000 --- a/doc/citations +++ /dev/null @@ -1 +0,0 @@ -mlpy for use of k-medoid : D. Albanese, R. Visintainer, S. Merler, S. Riccadonna, G. Jurman, C. Furlanello. mlpy: Machine Learning Python, 2012. arXiv:1202.6548 [bib] diff --git a/doc/doc_kmedoids.py b/doc/doc_kmedoids.py deleted file mode 100644 index 1b9bb38..0000000 --- a/doc/doc_kmedoids.py +++ /dev/null @@ -1,327 +0,0 @@ -"""! - -@brief Cluster analysis algorithm: K-Medoids. -@details Implementation based on papers @cite book::algorithms_for_clustering_data, @cite book::finding_groups_in_data. - -@authors Andrei Novikov (pyclustering@yandex.ru) -@date 2014-2019 -@copyright GNU Public License - -@cond GNU_PUBLIC_LICENSE - PyClustering is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - PyClustering is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -@endcond - -""" - - -import numpy - -from pyclustering.cluster.encoder import type_encoding - -from pyclustering.utils import medoid -from pyclustering.utils.metric import distance_metric, type_metric - -import pyclustering.core.kmedoids_wrapper as wrapper - -from pyclustering.core.wrapper import ccore_library -from pyclustering.core.metric_wrapper import metric_wrapper - - -class kmedoids: - """! - @brief Class represents clustering algorithm K-Medoids. - @details The algorithm is less sensitive to outliers tham K-Means. The principle difference between K-Medoids and K-Medians is that - K-Medoids uses existed points from input data space as medoids, but median in K-Medians can be unreal object (not from - input data space). - - Clustering example: - @code - from pyclustering.cluster.kmedoids import kmedoids - from pyclustering.cluster import cluster_visualizer - from pyclustering.utils import read_sample - from pyclustering.samples.definitions import FCPS_SAMPLES - - # Load list of points for cluster analysis. - sample = read_sample(FCPS_SAMPLES.SAMPLE_TWO_DIAMONDS) - - # Set random initial medoids. - initial_medoids = [1, 500] - - # Create instance of K-Medoids algorithm. - kmedoids_instance = kmedoids(sample, initial_medoids) - - # Run cluster analysis and obtain results. - kmedoids_instance.process() - clusters = kmedoids_instance.get_clusters() - - # Show allocated clusters. - print(clusters) - - # Display clusters. - visualizer = cluster_visualizer() - visualizer.append_clusters(clusters, sample) - visualizer.show() - @endcode - - Metric for calculation distance between points can be specified by parameter additional 'metric': - @code - # create Minkowski distance metric with degree equals to '2' - metric = distance_metric(type_metric.MINKOWSKI, degree=2) - - # create K-Medoids algorithm with specific distance metric - kmedoids_instance = kmedoids(sample, initial_medoids, metric=metric) - - # run cluster analysis and obtain results - kmedoids_instance.process() - clusters = kmedoids_instance.get_clusters() - @endcode - - Distance matrix can be used instead of sequence of points to increase performance and for that purpose parameter 'data_type' should be used: - @code - # calculate distance matrix for sample - sample = read_sample(path_to_sample) - matrix = calculate_distance_matrix(sample) - - # create K-Medoids algorithm for processing distance matrix instead of points - kmedoids_instance = kmedoids(matrix, initial_medoids, data_type='distance_matrix') - - # run cluster analysis and obtain results - kmedoids_instance.process() - - clusters = kmedoids_instance.get_clusters() - medoids = kmedoids_instance.get_medoids() - @endcode - - """ - - - def __init__(self, data, initial_index_medoids, tolerance=0.001, ccore=True, **kwargs): - """! - @brief Constructor of clustering algorithm K-Medoids. - - @param[in] data (list): Input data that is presented as list of points (objects), each point should be represented by list or tuple. - @param[in] initial_index_medoids (list): Indexes of intial medoids (indexes of points in input data). - @param[in] tolerance (double): Stop condition: if maximum value of distance change of medoids of clusters is less than tolerance than algorithm will stop processing. - @param[in] ccore (bool): If specified than CCORE library (C++ pyclustering library) is used for clustering instead of Python code. - @param[in] **kwargs: Arbitrary keyword arguments (available arguments: 'metric', 'data_type', 'itermax'). - - Keyword Args:
- - metric (distance_metric): Metric that is used for distance calculation between two points. - - data_type (string): Data type of input sample 'data' that is processed by the algorithm ('points', 'distance_matrix'). - - itermax (uint): Maximum number of iteration for cluster analysis. - - """ - self.__pointer_data = data - self.__clusters = [] - self.__medoid_indexes = initial_index_medoids - self.__tolerance = tolerance - - self.__metric = kwargs.get('metric', distance_metric(type_metric.EUCLIDEAN_SQUARE)) - self.__data_type = kwargs.get('data_type', 'points') - self.__itermax = kwargs.get('itermax', 200) - - self.__distance_calculator = self.__create_distance_calculator() - - self.__ccore = ccore and self.__metric.get_type() != type_metric.USER_DEFINED - if self.__ccore: - self.__ccore = ccore_library.workable() - - #self.__verify_instance() - - - def process(self): - """! - @brief Performs cluster analysis in line with rules of K-Medoids algorithm. - - @return (kmedoids) Returns itself (K-Medoids instance). - - @remark Results of clustering can be obtained using corresponding get methods. - - @see get_clusters() - @see get_medoids() - - """ - - if self.__ccore is True: - ccore_metric = metric_wrapper.create_instance(self.__metric) - self.__clusters, self.__medoid_indexes = wrapper.kmedoids(self.__pointer_data, self.__medoid_indexes, self.__tolerance, self.__itermax, ccore_metric.get_pointer(), self.__data_type) - - else: - changes = float('inf') - iterations = 0 - - while changes > self.__tolerance and iterations < self.__itermax: - self.__clusters = self.__update_clusters() - update_medoid_indexes = self.__update_medoids() - - changes = max([self.__distance_calculator(self.__medoid_indexes[index], update_medoid_indexes[index]) for index in range(len(update_medoid_indexes))]) - - self.__medoid_indexes = update_medoid_indexes - - iterations += 1 - - return self - - - def predict(self, points): - """! - @brief Calculates the closest cluster to each point. - - @param[in] points (array_like): Points for which closest clusters are calculated. - - @return (list) List of closest clusters for each point. Each cluster is denoted by index. Return empty - collection if 'process()' method was not called. - - An example how to calculate (or predict) the closest cluster to specified points. - @code - from pyclustering.cluster.kmedoids import kmedoids - from pyclustering.samples.definitions import SIMPLE_SAMPLES - from pyclustering.utils import read_sample - - # Load list of points for cluster analysis. - sample = read_sample(SIMPLE_SAMPLES.SAMPLE_SIMPLE3) - - # Initial medoids for sample 'Simple3'. - initial_medoids = [4, 12, 25, 37] - - # Create instance of K-Medoids algorithm with prepared centers. - kmedoids_instance = kmedoids(sample, initial_medoids) - - # Run cluster analysis. - kmedoids_instance.process() - - # Calculate the closest cluster to following two points. - points = [[0.35, 0.5], [2.5, 2.0]] - closest_clusters = kmedoids_instance.predict(points) - print(closest_clusters) - @endcode - - """ - - if len(self.__clusters) == 0: - return [] - - medoids = [ self.__pointer_data[index] for index in self.__medoid_indexes ] - differences = numpy.zeros((len(points), len(medoids))) - for index_point in range(len(points)): - differences[index_point] = [ self.__metric(points[index_point], center) for center in medoids ] - - return numpy.argmin(differences, axis=1) - - - def get_clusters(self): - """! - @brief Returns list of allocated clusters, each cluster contains indexes of objects in list of data. - - @see process() - @see get_medoids() - - """ - - return self.__clusters - - - def get_medoids(self): - """! - @brief Returns list of medoids of allocated clusters represented by indexes from the input data. - - @see process() - @see get_clusters() - - """ - - return self.__medoid_indexes - - - def get_cluster_encoding(self): - """! - @brief Returns clustering result representation type that indicate how clusters are encoded. - - @return (type_encoding) Clustering result representation. - - @see get_clusters() - - """ - - return type_encoding.CLUSTER_INDEX_LIST_SEPARATION - - - def __verify_instance(self): - pass - - - def __create_distance_calculator(self): - """! - @brief Creates distance calculator in line with algorithms parameters. - - @return (callable) Distance calculator. - - """ - if self.__data_type == 'points': - return lambda index1, index2: self.__metric(self.__pointer_data[index1], self.__pointer_data[index2]) - - elif self.__data_type == 'distance_matrix': - if isinstance(self.__pointer_data, numpy.matrix): - return lambda index1, index2: self.__pointer_data.item((index1, index2)) - - return lambda index1, index2: self.__pointer_data[index1][index2] - - else: - raise TypeError("Unknown type of data is specified '%s'" % self.__data_type) - - - def __update_clusters(self): - """! - @brief Calculate distance to each point from the each cluster. - @details Nearest points are captured by according clusters and as a result clusters are updated. - - @return (list) updated clusters as list of clusters where each cluster contains indexes of objects from data. - - """ - - clusters = [[self.__medoid_indexes[i]] for i in range(len(self.__medoid_indexes))] - for index_point in range(len(self.__pointer_data)): - if index_point in self.__medoid_indexes: - continue - - index_optim = -1 - dist_optim = float('Inf') - - for index in range(len(self.__medoid_indexes)): - dist = self.__distance_calculator(index_point, self.__medoid_indexes[index]) - - if dist < dist_optim: - index_optim = index - dist_optim = dist - - clusters[index_optim].append(index_point) - - return clusters - - - def __update_medoids(self): - """! - @brief Find medoids of clusters in line with contained objects. - - @return (list) list of medoids for current number of clusters. - - """ - - medoid_indexes = [-1] * len(self.__clusters) - - for index in range(len(self.__clusters)): - medoid_index = medoid(self.__pointer_data, self.__clusters[index], metric=self.__metric, data_type=self.__data_type) - medoid_indexes[index] = medoid_index - - return medoid_indexes diff --git 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