Skip to content

Instantly share code, notes, and snippets.

@Nithanaroy
Last active December 27, 2019 12:36
Show Gist options
  • Star 1 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save Nithanaroy/2f03153731d10fd53b3a460dad71051f to your computer and use it in GitHub Desktop.
Save Nithanaroy/2f03153731d10fd53b3a460dad71051f to your computer and use it in GitHub Desktop.
Desktop/blog/clustering/balanced-clusters.ipynb
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# Code for Balanced Clustering\n\nWe will see how to generate balanced clusters so that the class imbalance problem is minimized when the clusters are used later by a classification algorithm"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Dataset citation http://networkrepository.com/soc-karate.php\n```\n@inproceedings{nr-aaai15,\n title = {The Network Data Repository with Interactive Graph Analytics and Visualization},\n author={Ryan A. Rossi and Nesreen K. Ahmed},\n booktitle = {Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence},\n url={http://networkrepository.com},\n year={2015}\n }\n```"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import seaborn as sns\nimport pandas as pd\nimport matplotlib.pyplot as plt\nimport numpy as np\n\nimport networkx as nx\n\nfrom sklearn.cluster import SpectralClustering\nimport warnings",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**Read in the edge list**"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df = pd.read_csv('soc-karate/soc-karate.mtx', delimiter=' ', skiprows=24, header=None, \n names=[\"source\", \"destination\"])",
"execution_count": 2,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.head()",
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 3,
"data": {
"text/plain": " source destination\n0 2 1\n1 3 1\n2 4 1\n3 5 1\n4 6 1",
"text/html": "<div>\n<style scoped>\n .dataframe tbody tr th:only-of-type {\n vertical-align: middle;\n }\n\n .dataframe tbody tr th {\n vertical-align: top;\n }\n\n .dataframe thead th {\n text-align: right;\n }\n</style>\n<table border=\"1\" class=\"dataframe\">\n <thead>\n <tr style=\"text-align: right;\">\n <th></th>\n <th>source</th>\n <th>destination</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>0</th>\n <td>2</td>\n <td>1</td>\n </tr>\n <tr>\n <th>1</th>\n <td>3</td>\n <td>1</td>\n </tr>\n <tr>\n <th>2</th>\n <td>4</td>\n <td>1</td>\n </tr>\n <tr>\n <th>3</th>\n <td>5</td>\n <td>1</td>\n </tr>\n <tr>\n <th>4</th>\n <td>6</td>\n <td>1</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "df.shape",
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 4,
"data": {
"text/plain": "(78, 2)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**Construct adjacency matrix from edge list**"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "%%time\n\nG = nx.from_edgelist(df.values.tolist(), create_using=nx.DiGraph) \nA = nx.adjacency_matrix(G)",
"execution_count": 5,
"outputs": [
{
"output_type": "stream",
"text": "CPU times: user 784 µs, sys: 181 µs, total: 965 µs\nWall time: 930 µs\n",
"name": "stdout"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "A.shape",
"execution_count": 6,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 6,
"data": {
"text/plain": "(34, 34)"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Spectral clustering on graphs is used to generate stable & balanced clusters here. Checkout these resources to learn more about the clustering algorithm,\n\n1. Theory https://www.youtube.com/watch?v=uxsDKhZHDcc&list=PLLssT5z_DsK9JDLcT8T62VtzwyW9LNepV&index=34\n2. Library Documentation https://scikit-learn.org/stable/modules/clustering.html#spectral-clustering"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "%%time\n\nwith warnings.catch_warnings():\n warnings.simplefilter(\"ignore\")\n\n clusters = 3\n sc = SpectralClustering(clusters, affinity='precomputed', n_init=100, assign_labels='kmeans')\n sc.fit_predict(A)",
"execution_count": 7,
"outputs": [
{
"output_type": "stream",
"text": "CPU times: user 113 ms, sys: 4.5 ms, total: 118 ms\nWall time: 118 ms\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Checkout the cluster sizes"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.DataFrame(sc.labels_, columns=[\"cluster_id\"]).cluster_id.value_counts()",
"execution_count": 8,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 8,
"data": {
"text/plain": "0 18\n2 11\n1 5\nName: cluster_id, dtype: int64"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Use standard deviation as a metric for class imbalance with this value of `k` (number of clusters) for clustering"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.DataFrame(sc.labels_, columns=[\"cluster_id\"]).cluster_id.value_counts().describe().loc[\"std\"]",
"execution_count": 9,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 9,
"data": {
"text/plain": "6.506407098647712"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Identify right `k` with the goal of having minimum `std` for cluster sizes"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "%%time\n\nbest_k = None\nstds = {} # a map of std for each k\nmax_clusters = 6 # max number of clusters or target classes we are okay with \n\nwith warnings.catch_warnings():\n warnings.simplefilter(\"ignore\")\n \n for clusters in range(2, max_clusters):\n sc = SpectralClustering(clusters, affinity='precomputed', n_init=100, assign_labels='kmeans')\n sc.fit_predict(A)\n\n std = pd.DataFrame(sc.labels_, columns=[\"cluster_id\"]).cluster_id.value_counts().describe().loc[\"std\"]\n stds[clusters] = std",
"execution_count": 10,
"outputs": [
{
"output_type": "stream",
"text": "CPU times: user 538 ms, sys: 6.75 ms, total: 545 ms\nWall time: 550 ms\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Plot the results to visually identify the right value of `k`"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "ax = sns.barplot(x=\"k\", y=\"std\", data=pd.DataFrame( stds.items(), columns=[\"k\", \"std\"] ))\nplt.xlabel(\"number of clusters\")\nplt.ylabel(\"class imbalance metric (std)\")\nax.grid()",
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Plot with the optimal value of `k`"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "with warnings.catch_warnings():\n warnings.simplefilter(\"ignore\")\n\n sc = SpectralClustering(2, affinity='precomputed', n_init=100, assign_labels='kmeans')\n sc.fit_predict(A)\n\n plt.figure(figsize=(15, 10))\n nx.draw_networkx(G, arrows=True, pos=nx.kamada_kawai_layout(G), node_color=sc.labels_)",
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 1080x720 with 1 Axes>",
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "pd.DataFrame(sc.labels_, columns=[\"cluster_id\"]).cluster_id.value_counts()",
"execution_count": 13,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 13,
"data": {
"text/plain": "0 19\n1 15\nName: cluster_id, dtype: int64"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "This way we identified an optimal number of clusters which are also balanced using Spectral Clustering"
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Other Plotting Options\n\nPlotly is an interactive plotting library which can also plot large graphs "
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "import plotly\nimport plotly.plotly as py\nfrom plotly.graph_objs import *",
"execution_count": 14,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Checkout this page https://plot.ly/python/igraph-networkx-comparison/#networkx, for more information"
},
{
"metadata": {
"trusted": true,
"scrolled": false
},
"cell_type": "code",
"source": "pos=nx.kamada_kawai_layout(G)\n\nXv=[pos[k][0] for k in G.nodes]\nYv=[pos[k][1] for k in G.nodes]\nXed=[]\nYed=[]\n\nfor edge in G.edges:\n Xed+=[pos[edge[0]][0],pos[edge[1]][0], None]\n Yed+=[pos[edge[0]][1],pos[edge[1]][1], None] \n \ntrace3=Scatter(x=Xed,\n y=Yed,\n mode='lines',\n line=dict(color='rgb(210,210,210)', width=1),\n hoverinfo='none'\n )\n\ntrace4=Scatter(x=Xv,\n y=Yv,\n mode='markers',\n name='net',\n marker=dict(symbol='circle-dot',\n size=5, \n color='#6959CD',\n line=dict(color='rgb(50,50,50)', width=0.5)\n ),\n text=list(G.nodes),\n hoverinfo='text'\n )\n\nannot=\"After spectral clustering\"\n\naxis=dict(showline=False, # hide axis line, grid, ticklabels and title\n zeroline=False,\n showgrid=False,\n showticklabels=False,\n title='' \n )\n\nwidth=800\nheight=800\nlayout=Layout(title= \"Bla\", \n font= dict(size=12),\n showlegend=False,\n autosize=False,\n width=width,\n height=height,\n xaxis=layout.XAxis(axis),\n yaxis=layout.YAxis(axis), \n margin=layout.Margin(\n l=40,\n r=40,\n b=85,\n t=100,\n ),\n hovermode='closest' )\n\ndata1=[trace3, trace4]\nfig1=Figure(data=data1, layout=layout)\npy.iplot(fig1, filename='Coautorship-network-nx')",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "python3",
"display_name": "Python 3",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.8",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"toc": {
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": true,
"base_numbering": 1,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {
"height": "calc(100% - 180px)",
"left": "10px",
"top": "150px",
"width": "197px"
},
"toc_section_display": true,
"toc_window_display": true
},
"gist": {
"id": "2f03153731d10fd53b3a460dad71051f",
"data": {
"description": "Desktop/blog/clustering/balanced-clusters.ipynb",
"public": true
}
},
"_draft": {
"nbviewer_url": "https://gist.github.com/2f03153731d10fd53b3a460dad71051f"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment