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174 lines (147 loc) · 6.93 KB
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import numpy as np
from itertools import cycle, islice
from scipy.stats.kde import gaussian_kde
from sklearn.decomposition import PCA
import statsmodels.api as sm
import matplotlib.pyplot as mplot
import matplotlib.cm as cm
from mpl_toolkits.mplot3d import Axes3D
def plot_clusters(clone, data, path, headers=None):
color_list = np.array(['yellowgreen', 'orange', 'crimson', 'mediumpurple', 'deepskyblue', 'Aquamarine', 'DarkGoldenRod',
'Khaki', 'SteelBlue', 'Olive', 'Violet', 'DarkSeaGreen', 'RosyBrown', 'LightPink', 'DodgerBlue',
'lightcoral', 'chocolate', 'burlywood', 'cyan', 'olivedrab', 'palegreen', 'turquoise', 'gold', 'teal',
'hotpink', 'moccasin', 'lawngreen', 'sandybrown', 'blueviolet', 'powderblue', 'plum', 'springgreen',
'mediumaquamarine', 'rebeccapurple', 'peru', 'lightsalmon', 'khaki', 'sienna', 'lightseagreen', 'lightcyan'])
colors = np.array(list(islice(cycle(color_list),len(clone.centers))))
if headers is None:
headers = ["C%i"%x for x in range(data.shape[1])]
if data.shape[1] == 1:
plot_1d_clusters(clone, data, path, headers, colors)
elif data.shape[1] == 2:
plot_2d_clusters(clone, data, path, headers, colors)
else:
plot_nd_clusters(clone, data, path, headers, colors)
mplot.show()
def plot_1d_clusters(clone, data, path, headers, colors):
centers = np.array(clone.centers)
labels = np.array(clone.labels_)
labels_all = np.array(clone.labels_all)
core = clone.core_card
rho = clone.rho
# Mask for plotting
assigned_mask = np.where(labels != -1)
outliers_mask = np.where(labels == -1)
# KDE
kde = sm.nonparametric.KDEUnivariate(data.astype(np.float))
kde.fit()
# Sort some values for better visualization after
arcore = np.argsort(core)
s_cores = core[arcore]
s_x = data[arcore]
# Plot core
mplot.figure(figsize=(4, 2))
mplot.scatter(s_x, [0] * len(data), marker='|', linewidth=0.1, s=150, c=s_cores, cmap=cm.nipy_spectral)
mplot.yticks([])
mplot.xlabel(headers[0], fontsize=15)
cbar = mplot.colorbar()
mplot.tick_params(axis='x', which='major', length=8, width=2, labelsize=15)
cbar.ax.tick_params(axis='x', which='major', length=8, width=2, labelsize=15)
cbar.ax.set_xlabel("#core", fontsize=15)
mplot.tight_layout()
mplot.savefig(path + "/cores.png", dpi=300)
# Plot clusters
mplot.figure(figsize=(4, 4))
mplot.scatter(data[assigned_mask, 0], [0] * len(data[assigned_mask]), marker='|', color=colors[labels[assigned_mask]])
mplot.scatter(data[outliers_mask, 0], [0] * len(data[outliers_mask]), marker='x', s=10, color='black')
mplot.scatter(data[centers, 0], [0] * len(data[centers]), marker='*', s=100, color='black')
mplot.plot(kde.support, kde.density, c="grey", marker="None", linestyle="--")
mplot.xlabel(headers[0])
mplot.ylabel("KDE")
mplot.tight_layout()
mplot.savefig(path + "/clusters.png", dpi=300)
def plot_2d_clusters(clone, data, path, headers, colors):
centers = np.array(clone.centers)
labels = np.array(clone.labels_)
core_card = clone.core_card
rho = clone.rho
# Core cardinality mapped to each point
size = (3.5,4)
cluster_fig = mplot.figure(figsize=size)
arcore = np.argsort(core_card)
s_cores = core_card[arcore]
s_data = data[arcore]
mplot.scatter(s_data[:, 0], s_data[:, 1], marker='o', c=s_cores, cmap=cm.nipy_spectral)
mplot.xlabel("#core", labelpad=20, fontsize=15)
cbar = mplot.colorbar(orientation='horizontal')
cbar.ax.tick_params(axis='x', which='major', length=8, width=2, labelsize=15)
cbar.ax.tick_params(axis='y', which='major', length=8, width=2, labelsize=15)
mplot.scatter(data[centers, 0], data[centers, 1], marker='*', s=150, c='black', cmap=cm.nipy_spectral)
mplot.xticks([])
mplot.yticks([])
mplot.tight_layout()
mplot.savefig(path + "/cores.png")
# Cluster plot by labels
size = (4,4)
cluster_fig = mplot.figure(figsize=size)
ax_clus = cluster_fig.add_subplot(111)
assigned_mask = np.where(labels != -1)
outliers_mask = np.where(labels == -1)
ax_clus.set_xlabel(headers[0])
ax_clus.set_ylabel(headers[1])
ax_clus.scatter(data[outliers_mask, 0], data[outliers_mask, 1], marker='x', s=10, color='black', alpha=0.7)
ax_clus.scatter(data[assigned_mask, 0], data[assigned_mask, 1], marker='o', s=30, edgecolors='black', linewidth=0.1, color=colors[labels[assigned_mask]])
ax_clus.scatter(data[centers, 0], data[centers, 1], marker='*', s=150, c='black', cmap=cm.nipy_spectral)
mplot.tight_layout()
mplot.savefig(path + "/clusters.png")
def plot_nd_clusters(clone, data, path, headers, colors):
centers = np.array(clone.centers)
nb_clust = len(centers)
data_dim = data.shape[1]
labels = np.array(clone.labels_)
labels_all = np.array(clone.labels_all)
core = clone.core_card
rho = clone.rho
# Mask for plotting
assigned_mask = np.where(labels != -1)
outliers_mask = np.where(labels == -1)
fig_3d = mplot.figure(figsize=(4,4))
ax = fig_3d.add_subplot(111, projection='3d')
ax.scatter(data[outliers_mask, 0], data[outliers_mask, 1], data[outliers_mask, 2], marker='.', color='black')
ax.scatter(data[assigned_mask, 0], data[assigned_mask, 1], data[assigned_mask, 2], marker='o', color=colors[labels[assigned_mask]])
ax.set_xlabel(headers[0])
ax.set_ylabel(headers[1])
ax.set_zlabel(headers[2])
mplot.savefig(path + "/clusters_3D.png", dpi=300)
# Make plot
fig = mplot.figure(figsize=(4,4))
for n in range(data_dim):
ax = fig.add_subplot(data_dim, 1, n+1)
ax.set_xlabel("")
# Plot distributions per cluster
for clus_idx in range(len(centers)):
cur_coords = np.array(data[labels == clus_idx, n],ndmin=2)
p = ax.violinplot(cur_coords[0], [clus_idx+1], showmeans=False, showextrema=False, showmedians=False, widths=0.8)
for pc in p['bodies']:
pc.set_facecolor(colors[clus_idx])
pc.set_edgecolor('black')
pc.set_alpha(1)
mplot.yticks(rotation=90, va="center")
ax.set_ylabel(headers[n], labelpad=10, rotation=90)
ax.grid(True, which='major', axis='y', linestyle='--', c='black')
# Set x axis only for last dimension
ax.set_xticks(np.arange(0,nb_clust+2, 1))
ax.get_xaxis().set_visible(False)
if n == data_dim - 1:
ax.get_xaxis().set_visible(True)
labels = []
for n in range(nb_clust):
labels.append("C%i"%(n+1))
ax.set_xticks(np.arange(1,nb_clust+2, 1))
ax.set_xticklabels(labels)
mplot.tick_params(axis='x', pad=20)
else:
ax.get_xaxis().set_visible(False)
ax.set_xlim(xmin=0.3, xmax=(0.8+nb_clust))
mplot.xticks(rotation=90, va="center")
mplot.tight_layout()
mplot.savefig(path + "/clusters_violin.png", dpi=300)