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@cameres
Created November 28, 2016 23:00
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sb"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"['file_name',\n",
" 'category',\n",
" 'is_code',\n",
" 'probably_uses_pyspark',\n",
" 'probably_uses_s3',\n",
" 'draws_graph',\n",
" 'has_traceback',\n",
" 'lines',\n",
" 'cell_magic',\n",
" 'line_magic',\n",
" 'line_bang']"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"notebook_analysis_df = pd.read_csv('mozilla-output.csv').dropna()\n",
"# which features are for analysis\n",
"list(notebook_analysis_df)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Apply KMeans Clustering\n",
"### Preprocessing\n",
"After we have performed our initial exploritory analysis we cluster the notebooks based on the features that we have extracted in `vectors.py`. Because clustering is sensitive to the size or unit of each feature we perform min-max scaling of the numeric features in our data frame. This is applied with the `MinMaxScaler` from sklearn."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from sklearn.preprocessing import MinMaxScaler\n",
"sc = MinMaxScaler()\n",
"X = notebook_analysis_df.iloc[:, 2:].values\n",
"X = sc.fit_transform(X)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Clustering (Learning)\n",
"The clustering algorithm that was chosen for this dataset was KMeans for a starting point, because it is highly interpretable and scales well with the number of observations and the number of features.\n",
"\n",
"To determine the optimal # of clusters for the dataset, we need to perform the elbow method (Raschka 2015). "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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PPaXXX39dd911lzZs2KCQkBCP19XfxEc5dPGEQdq8t0Sbso/puktSNDCC/58B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\nAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10c6d6f50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.cluster import KMeans\n",
"# remove any nan's\n",
"# http://stackoverflow.com/questions/11453141/how-to-remove-all-rows-in-a-numpy-ndarray-that-contain-non-numeric-values\n",
"X = X[~np.isnan(X).any(axis=1)]\n",
"\n",
"distortions = []\n",
"clusters = range(1, 20)\n",
"for i in clusters:\n",
" km = KMeans(n_clusters=i,\n",
" init='k-means++',\n",
" n_init=10,\n",
" max_iter=300,\n",
" random_state=0)\n",
" km.fit(X)\n",
" distortions.append(km.inertia_)\n",
"plt.plot(clusters, distortions, marker='o')\n",
"plt.xlabel('Number of clusters')\n",
"plt.ylabel('Distortion')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Elbow Method Problems\n",
"The distortion appears to decrease exponentially with no defined **elbow**. Thus, we choose 2 clusters as a best guess. (REVISIT)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"km = KMeans(n_clusters=2,\n",
" init='k-means++',\n",
" n_init=10,\n",
" max_iter=300,\n",
" random_state=0)\n",
"# predict labels for dataframe\n",
"km.fit(X)\n",
"# subset data frame for display with notebooks and cluster\n",
"clusters = km.predict(X)\n",
"\n",
"cluster_df = notebook_analysis_df.iloc[:, :].copy()\n",
"cluster_df['cluster'] = clusters"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>is_code</th>\n",
" <th>probably_uses_pyspark</th>\n",
" <th>probably_uses_s3</th>\n",
" <th>draws_graph</th>\n",
" <th>has_traceback</th>\n",
" <th>lines</th>\n",
" <th>cell_magic</th>\n",
" <th>line_magic</th>\n",
" <th>line_bang</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.961122</td>\n",
" <td>0.548501</td>\n",
" <td>0.115748</td>\n",
" <td>0.011215</td>\n",
" <td>0.045779</td>\n",
" <td>0.031478</td>\n",
" <td>0.044918</td>\n",
" <td>0.047113</td>\n",
" <td>6.938894e-18</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.828612</td>\n",
" <td>0.037008</td>\n",
" <td>0.018980</td>\n",
" <td>0.039231</td>\n",
" <td>0.034983</td>\n",
" <td>0.140317</td>\n",
" <td>0.010173</td>\n",
" <td>0.116053</td>\n",
" <td>4.631503e-02</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" is_code probably_uses_pyspark probably_uses_s3 draws_graph \\\n",
"0 0.961122 0.548501 0.115748 0.011215 \n",
"1 0.828612 0.037008 0.018980 0.039231 \n",
"\n",
" has_traceback lines cell_magic line_magic line_bang \n",
"0 0.045779 0.031478 0.044918 0.047113 6.938894e-18 \n",
"1 0.034983 0.140317 0.010173 0.116053 4.631503e-02 "
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# print the cluster centers\n",
"centers = km.cluster_centers_\n",
"\n",
"# convert to a dataframe\n",
"features=list(notebook_analysis_df)[2:]\n",
"pd.DataFrame(centers, columns=features)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Clustering Results\n",
"After performing clustering with k = 2, we can see that we have two clusters, one for analysis w/ spark and s3 and another cluster without analysis. The other features seem to deviate less between the two clusters. \n",
"\n",
"We create a scatterplot with hue of the points as the two clusters below..."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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9EQ4ODrket2zZ0vo5EJ999pkyMjLUu3dvhYSEWP9MmzbNFqUCAAAAxVKRuxJx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\nNU5eXt4KDR2iF18cqAoVfPTyy68VsDM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UOA4AAADezakzEc8++6zS0tK0fPlyPfPMMwoL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\nRCQJiwgiIiIiIpLk/wBx8tDzgyXg6wAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10d1f8510>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.ticker import NullFormatter\n",
"nullfmt = NullFormatter()\n",
"\n",
"# spark cell prominance vs. s3 cell prominance\n",
"feature_x = 1\n",
"feature_y = 2\n",
"\n",
"plt.figure(1, figsize=(8,8))\n",
"\n",
"# definitions for the axes\n",
"left, width = 0.1, 0.65\n",
"bottom, height = 0.1, 0.65\n",
"bottom_h = left_h = left + width + 0.02\n",
"\n",
"rect_scatter = [left, bottom, width, height]\n",
"rect_histx = [left, bottom_h, width, 0.2]\n",
"rect_histy = [left_h, bottom, 0.2, height]\n",
"\n",
"axScatter = plt.axes(rect_scatter)\n",
"axHistx = plt.axes(rect_histx)\n",
"axHisty = plt.axes(rect_histy)\n",
"\n",
"axHistx.xaxis.set_major_formatter(nullfmt)\n",
"axHisty.yaxis.set_major_formatter(nullfmt)\n",
"\n",
"axScatter.scatter(X[clusters==0,feature_x],\n",
" X[clusters==0,feature_y],\n",
" s=50,\n",
" c='lightgreen',\n",
" marker='s',\n",
" label='\"big data\" notebook')\n",
"\n",
"axScatter.scatter(X[clusters==1,feature_x],\n",
" X[clusters==1,feature_y],\n",
" s=50,\n",
" c='orange',\n",
" marker='o',\n",
" label='\"other\" notebook')\n",
"\n",
"axScatter.scatter(centers[:,feature_x],\n",
" centers[:,feature_y],\n",
" s=250,\n",
" marker='*',\n",
" c='red',\n",
" label='centroids')\n",
"\n",
"# color based on the cluster assigned\n",
"axScatter.set_xlabel('probably_uses_pyspark')\n",
"axScatter.set_ylabel('probably_uses_s3')\n",
"axScatter.legend()\n",
"\n",
"binwidth = 0.1\n",
"xymax = np.max([np.max(np.fabs(X[:, feature_x])), np.max(np.fabs(X[:, feature_y]))])\n",
"lim = (int(xymax/binwidth) + 1) * binwidth\n",
"\n",
"bins = np.arange(-lim, lim + binwidth, binwidth)\n",
"axHistx.hist(X[:, feature_x], bins=bins)\n",
"axHisty.hist(X[:, feature_y], bins=bins, orientation='horizontal')\n",
"\n",
"# no labels\n",
"axHistx.xaxis.set_major_formatter(nullfmt)\n",
"axHisty.yaxis.set_major_formatter(nullfmt)\n",
"\n",
"axHistx.set_xlim(axScatter.get_xlim())\n",
"axHisty.set_ylim(axScatter.get_ylim())\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"note: there are a large amount of notebooks used that do not appear to contain either s3 or spark variables. this isn't that overwhelming, because notebooks that were downloaded were from mozilla employees public gists rather than any private gists that could contain sensitive information?"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"# Attempt at Hierarchical Clustering w/ Scipy"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from scipy.cluster.hierarchy import linkage\n",
"row_clusters = linkage(X, method='complete', metric='euclidean')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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57iH5/ve/rzPPPFN/+tOfVFVVJUm67bbb9Dd/8zf6wQ9+4HqCAAAAAEqX44Jky5Yt+spX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\n+8DEb+AyaDs61z/eK2T7bcm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0AkCxmd27SwpOv+SgxwpKgUCeMgIAYHpRKxpfylwaXdY8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\nDjjggAP/Nvx/B5mR6gwXGBMAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cf45e10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.cluster.hierarchy import dendrogram\n",
"row_dendr = dendrogram(row_clusters)\n",
"\n",
"import matplotlib.pyplot as plt\n",
"\n",
"plt.tight_layout()\n",
"plt.ylabel('Euclidean distance')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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FZgE4C8D7kO8R8zXheCr1VxCzb/hb7HreoBmrH8wUDjgMwIKW/+x1xwjvf4TjtUnksp1F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\nAomIiIgciEUgERERkQP9f9JaAU1PHkmqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e50da50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig = plt.figure(figsize=(8, 8))\n",
"axd = fig.add_axes([0.09, 0.1, 0.2, 0.6])\n",
"row_dendr = dendrogram(row_clusters, orientation='left')\n",
"df_rowclust = pd.DataFrame(X[row_dendr['leaves'][::-1]], columns=features)\n",
"axm = fig.add_axes([0.29,0.1,0.6,0.6])\n",
"cax = axm.matshow(df_rowclust, interpolation='nearest', cmap='hot_r', aspect='auto')\n",
"axd.set_xticks([])\n",
"axd.set_yticks([])\n",
"for i in axd.spines.values():\n",
" i.set_visible(False)\n",
"fig.colorbar(cax)\n",
"axm.set_yticklabels([''] + list(df_rowclust.index))\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.12"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
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