import matplotlib.pyplot as plt import numpy as np import pandas as pd import seaborn as sns from numpy.random import choice, seed from sklearn.decomposition import PCA from sklearn.preprocessing import MinMaxScaler seed(42) def initialize_medoids(num_medoids, data): return [data.iloc[idx] for idx in choice(len(data), size=num_medoids, replace=False)] def assign_points_to_medoids(data, medoids): return [np.argmin([distance_vec2vec(point[1], medoid) for medoid in medoids]) for point in data.iterrows()] def distance_vec2vec(a, b) -> np.float64: return sum([(abs(a[i] - b[i]) ** 2) for i in range(len(a))]) def reassign_medoids(data, assignments, initial_medoids): new_medoids = [] for idm, medoid in enumerate(initial_medoids): new_medoid = medoid medoid_score = sum([distance_vec2vec(medoid, x[1]) if assignments[idx] == idm else 0 for idx, x in enumerate(data.iterrows())]) for point in data.iterrows(): point_score = sum(sum([distance_vec2vec(point, x[1]) if assignments[idx] == idm else 0 for idx, x in enumerate(data.iterrows())])) if medoid_score > point_score: new_medoid = point new_medoids.append(new_medoid) return new_medoids def is_finished(old_medoids, new_medoids): return set([tuple(om) for om in old_medoids]) == set([tuple(nm) for nm in new_medoids]) def kmedoids(num_samples, num_clusters): df = pd.read_csv('CC GENERAL.csv', index_col='CUST_ID') df = df[:num_samples] df_scaled = pd.DataFrame(MinMaxScaler().fit_transform(df)) df_scaled = df_scaled.fillna(0) # initialize medoids (at random) medoids = initialize_medoids(num_medoids=num_clusters, data=df_scaled) # assign data points to the medoids assignments = assign_points_to_medoids(data=df_scaled, medoids=medoids) # fit new_medoids = reassign_medoids(data=df_scaled, assignments=assignments, initial_medoids=medoids) while not is_finished(old_medoids=medoids, new_medoids=new_medoids): medoids = new_medoids new_medoids = reassign_medoids(data=df_scaled, assignments=assignments, initial_medoids=medoids) new_assignments = assign_points_to_medoids(data=df_scaled, medoids=new_medoids) data = pd.DataFrame(PCA(n_components=2).fit_transform(df_scaled), columns=['0', '1']) data['cluster'] = new_assignments sns.relplot(x='0', y='1', hue='cluster', data=data, palette=sns.color_palette("husl", num_clusters)) plt.show() kmedoids(num_samples=500, num_clusters=3)