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k-means silhouette analysis using sklearn and matplotlib on Iris data.
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{ | |
"cells": [ | |
{ | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"cell_type": "code", | |
"outputExpanded": false, | |
"source": [ | |
"%matplotlib inline\n" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Data\n", | |
"--" | |
], | |
"outputExpanded": false | |
}, | |
{ | |
"execution_count": 2, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"cell_type": "code", | |
"outputExpanded": false, | |
"source": [ | |
"import numpy as np\n", | |
"X = np.array([[1.1, 0.5], [1.1, 0.6], [1.2, 0.5], [1.2, 0.6],\n", | |
" [0.8, 1.4], [0.8, 1.5], [0.9, 1.4], [0.9, 1.5]])" | |
] | |
}, | |
{ | |
"execution_count": 3, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [], | |
"cell_type": "code", | |
"outputExpanded": false, | |
"source": [ | |
"from sklearn.datasets import load_iris\n", | |
"iris = load_iris()\n", | |
"X = iris['data'][:, 1:3]" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Unsupervised KMeans Clustering\n", | |
"---" | |
], | |
"outputExpanded": false | |
}, | |
{ | |
"execution_count": 212, | |
"metadata": { | |
"collapsed": false, | |
"scrolled": false | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"For n_clusters = 2 The average silhouette_score is: 0.74\n", | |
"For n_clusters = 3 The average silhouette_score is: 0.59\n", | |
"For n_clusters = 4 The average silhouette_score is: 0.56\n", | |
"For n_clusters = 5 The average silhouette_score is: 0.44\n", | |
"For n_clusters = 6 The average silhouette_score is: 0.39\n", | |
"For n_clusters = 7 The average silhouette_score is: 0.38\n" | |
] | |
}, | |
{ | |
"data": { | |
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"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f9247fae588>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
}, | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f924c96e278>" | |
] | |
}, | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f9247dc29b0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
}, | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f9247dc2128>" | |
] | |
}, | |
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"output_type": "display_data", | |
"text": [] | |
}, | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f92580da5c0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
}, | |
{ | |
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], | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f924532cd68>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data", | |
"text": [] | |
} | |
], | |
"cell_type": "code", | |
"outputExpanded": true, | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"from sklearn.cluster import KMeans\n", | |
"from sklearn.metrics import silhouette_score\n", | |
"from kmeansplots import kmeans_plot, silhouette_plot\n", | |
"\n", | |
"for n_clusters in range(2, 8):\n", | |
" clusterer = KMeans(n_clusters=n_clusters, random_state=10)\n", | |
" y = clusterer.fit_predict(X)\n", | |
"\n", | |
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11,4), dpi=500)\n", | |
" ax1 = silhouette_plot(X, y, n_clusters=n_clusters, ax=ax1)\n", | |
" ax2 = kmeans_plot(X, y, clusterer.cluster_centers_, ax=ax2)\n", | |
"\n\n", | |
" fig.subplots_adjust(top=0.825)\n", | |
" fig.suptitle((\"Silhouette Analysis for KMeans Clustering on Iris Data \"\n", | |
" \"\\n$clusters = {}$\".format(n_clusters)),\n", | |
" fontsize=14, fontweight='bold')\n", | |
" message = \"For n_clusters = {} The average silhouette_score is: {}\"\n", | |
" print(message.format(n_clusters, round(silhouette_score(X, y), 2)))\n" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"name": "python3", | |
"language": "python", | |
"display_name": "Python 3" | |
}, | |
"language_info": { | |
"codemirror_mode": { | |
"version": 3, | |
"name": "ipython" | |
}, | |
"version": "3.5.2", | |
"name": "python", | |
"file_extension": ".py", | |
"mimetype": "text/x-python", | |
"pygments_lexer": "ipython3", | |
"nbconvert_exporter": "python" | |
}, | |
"kernel_info": { | |
"name": "python3" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 0 | |
} |
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import numpy as np | |
import matplotlib.cm as cm | |
import matplotlib.pyplot as plt | |
from matplotlib.colors import colorConverter | |
__license__ = 'MIT' | |
__author__ = 'clintval' | |
def darken_rgb(rgb, p): | |
""" | |
Will darken an rgb value by p percent | |
""" | |
assert 0 <= p <= 1, "Proportion must be [0, 1]" | |
return [int(x * (1 - p)) for x in rgb] | |
def lighten_rgb(rgb, p): | |
""" | |
Will lighten an rgb value by p percent | |
""" | |
assert 0 <= p <= 1, "Proportion must be [0, 1]" | |
return [int((255 - x) * p + x) for x in rgb] | |
def is_luminous(rgb): | |
new_color = [] | |
for c in rgb: | |
if c <= 0.03928: | |
new_color.append(c / 12.92) | |
else: | |
new_color.append(((c + 0.055) / 1.055) ** 2.4) | |
L = sum([x * y for x, y in zip([0.2126, 0.7152, 0.0722], new_color)]) | |
return True if L < 0.179 else False | |
def kmeans_plot(X, y, cluster_centers, ax=None): | |
import matplotlib.patheffects as path_effects | |
from sklearn.metrics.pairwise import pairwise_distances_argmin_min | |
if ax is None: | |
ax = plt.gca() | |
colors = cm.spectral(y.astype(float) / len(cluster_centers)) | |
ax.scatter(*list(zip(*X)), lw=0, c=colors, s=30) | |
offset = max(list(zip(*cluster_centers))[0]) * 0.2 | |
for i, cluster in enumerate(cluster_centers): | |
index, _ = pairwise_distances_argmin_min(cluster.reshape(1, -1), Y=X) | |
cluster_color = colorConverter.to_rgb(colors[index[0]]) | |
if is_luminous(cluster_color) is False: | |
cluster_color = darken_rgb(cluster_color, 0.35) | |
label = ax.text(x=cluster[0] + offset, | |
y=cluster[1], | |
s='{:d}'.format(i + 1), | |
color=cluster_color) | |
label.set_path_effects([path_effects.Stroke(lw=2, foreground='white'), | |
path_effects.Normal()]) | |
limit = max(*ax.get_xlim(), *ax.get_xlim()) | |
ax.set_xlim(0, limit) | |
ax.set_ylim(0, limit) | |
ax.set_xlabel("Feature space for the 1st feature") | |
ax.set_ylabel("Feature space for the 2nd feature") | |
return ax | |
def silhouette_plot(X, y, n_clusters, ax=None): | |
from sklearn.metrics import silhouette_samples, silhouette_score | |
if ax is None: | |
ax = plt.gca() | |
# Compute the silhouette scores for each sample | |
silhouette_avg = silhouette_score(X, y) | |
sample_silhouette_values = silhouette_samples(X, y) | |
y_lower = padding = 2 | |
for i in range(n_clusters): | |
# Aggregate the silhouette scores for samples belonging to | |
ith_cluster_silhouette_values = sample_silhouette_values[y == i] | |
ith_cluster_silhouette_values.sort() | |
size_cluster_i = ith_cluster_silhouette_values.shape[0] | |
y_upper = y_lower + size_cluster_i | |
color = cm.spectral(float(i) / n_clusters) | |
ax.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 | |
ax.text(-0.05, y_lower + 0.5 * size_cluster_i, str(i + 1)) | |
# Compute the new y_lower for next plot | |
y_lower = y_upper + padding | |
ax.set_xlabel("The silhouette coefficient values") | |
ax.set_ylabel("Cluster label") | |
# The vertical line for average silhoutte score of all the values | |
ax.axvline(x=silhouette_avg, c='r', alpha=0.8, lw=0.8, ls='-') | |
ax.annotate('Average', | |
xytext=(silhouette_avg, y_lower * 1.025), | |
xy=(0, 0), | |
ha='center', | |
alpha=0.8, | |
c='r') | |
ax.set_yticks([]) # Clear the yaxis labels / ticks | |
ax.set_xticks([0, 0.2, 0.4, 0.6, 0.8, 1]) | |
ax.set_ylim(0, y_upper + 1) | |
ax.set_xlim(-0.075, 1.0) | |
return ax |
same issue here.
Ha, I've not seen these comments until now. Have you tried removing the lw=0
call to ax.scatter
? Right here: https://gist.github.com/clintval/e9afc246e77f6488cda79f86e4d37148#file-kmeansplots-py-L47
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Hi,
I continuously get error running this code: