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@alinazhanguwo
Created January 9, 2020 16:36
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# set up the parameters
n_init = 12
max_iter = 225
tol = 0.0001
random_state = 42
n_jobs = -1
t0 = dt.now()
print("========= Start training ... ")
inertia_df = pd.DataFrame(data=[], index=range(2, 21), columns=['inertia'])
silhouette_avg_df = pd.DataFrame(data=[], index=range(2, 21), columns=['silhouetteAvg'])
overallAccuracy_df = pd.DataFrame(data=[], index=range(2, 21), columns=['overallAccuracy'])
for n_clusters in range(2, 21):
clusterer = KMeans(n_clusters=n_clusters, n_init=n_init, max_iter=max_iter, tol = tol, \
random_state=random_state, n_jobs=n_jobs)
cluster_labels = clusterer.fit_predict(X_train)
# inertia
inertia_df.loc[n_clusters] = clusterer.inertia_
# The silhouette_score gives the average value for all the samples.
# This gives a perspective into the density and separation of the formed
# clusters
silhouette_avg_df.loc[n_clusters] = silhouette_score(X_train, cluster_labels)
# Compute the silhouette scores for each sample
sample_silhouette_values = silhouette_samples(X_train, cluster_labels)
# self-defined accuracy function: overallAccuracy
kmeansClustered = pd.DataFrame(data=cluster_labels, index=X_train.index, columns=['cluster'])
countByCluster_kMeans, countByLabel_kMeans, \
countMostFreq_kMeans, \
accuracyDF_kMeans, overallAccuracy_kMeans, \
accuracyByLabel_kMeans = overallAccuracy(kmeansClustered, pd.Series(y_Class, index=X_train.index))
overallAccuracy_df.loc[n_clusters] = overallAccuracy_kMeans
# Plot the silhouette scores for each 'n_clusters'
# Create a subplot with 1 row and 2 columns
fig, (ax1, ax2) = plt.subplots(1, 2)
fig.set_size_inches(18, 7)
# The 1st subplot is the silhouette plot
# The silhouette coefficient can range from -1, 1 but in this example all
# lie within [-0.1, 1]
ax1.set_xlim([-0.1, 1])
# The (n_clusters+1)*10 is for inserting blank space between silhouette
# plots of individual clusters, to demarcate them clearly.
ax1.set_ylim([0, len(X_train) + (n_clusters + 1) * 10])
y_lower = 10
for i in range(n_clusters):
# Aggregate the silhouette scores for samples belonging to
# cluster i, and sort them
ith_cluster_silhouette_values = \
sample_silhouette_values[cluster_labels == i]
ith_cluster_silhouette_values.sort()
size_cluster_i = ith_cluster_silhouette_values.shape[0]
y_upper = y_lower + size_cluster_i
color = cm.nipy_spectral(float(i) / n_clusters)
ax1.fill_betweenx(np.arange(y_lower, y_upper),
0, ith_cluster_silhouette_values,
facecolor=color, edgecolor=color, alpha=0.7)
# Label the silhouette plots with their cluster numbers at the middle
ax1.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i))
# Compute the new y_lower for next plot
y_lower = y_upper + 10 # 10 for the 0 samples
ax1.set_title("The silhouette plot for the various clusters.")
ax1.set_xlabel("The silhouette coefficient values")
ax1.set_ylabel("Cluster label")
# The vertical line for average silhouette score of all the values
ax1.axvline(x=silhouette_avg, color="red", linestyle="--")
ax1.set_yticks([]) # Clear the yaxis labels / ticks
ax1.set_xticks([-0.1, 0, 0.2, 0.4, 0.6, 0.8, 1])
# 2nd Plot showing the actual clusters formed
colors = cm.nipy_spectral(cluster_labels.astype(float) / n_clusters)
ax2.scatter(X_train.iloc[:, 0], X_train.iloc[:, 1], marker='.', s=30, lw=0, alpha=0.7,
c=colors, edgecolor='k')
# Labeling the clusters
centers = clusterer.cluster_centers_
# Draw white circles at cluster centers
ax2.scatter(centers[:, 0], centers[:, 1], marker='o',
c="white", alpha=1, s=200, edgecolor='k')
for i, c in enumerate(centers):
ax2.scatter(c[0], c[1], marker='$%d$' % i, alpha=1,
s=50, edgecolor='k')
ax2.set_title("The visualization of the clustered data.")
ax2.set_xlabel("Feature space for the 1st feature")
ax2.set_ylabel("Feature space for the 2nd feature")
plt.suptitle(("Silhouette analysis for KMeans clustering on sample data "
"with n_clusters = %d" % n_clusters),
fontsize=14, fontweight='bold')
t1 = dt.now()-t0
print("========= Finished in ",t1)
plt.show()
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