wholesale_cluster.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "#import libraries\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.colors as mcolors\n",
    "from sklearn.preprocessing import normalize\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "\n",
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       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Channel</th>\n",
       "      <th>Region</th>\n",
       "      <th>Fresh</th>\n",
       "      <th>Milk</th>\n",
       "      <th>Grocery</th>\n",
       "      <th>Frozen</th>\n",
       "      <th>Detergents_Paper</th>\n",
       "      <th>Delicassen</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>12669</td>\n",
       "      <td>9656</td>\n",
       "      <td>7561</td>\n",
       "      <td>214</td>\n",
       "      <td>2674</td>\n",
       "      <td>1338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>7057</td>\n",
       "      <td>9810</td>\n",
       "      <td>9568</td>\n",
       "      <td>1762</td>\n",
       "      <td>3293</td>\n",
       "      <td>1776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>6353</td>\n",
       "      <td>8808</td>\n",
       "      <td>7684</td>\n",
       "      <td>2405</td>\n",
       "      <td>3516</td>\n",
       "      <td>7844</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>13265</td>\n",
       "      <td>1196</td>\n",
       "      <td>4221</td>\n",
       "      <td>6404</td>\n",
       "      <td>507</td>\n",
       "      <td>1788</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>22615</td>\n",
       "      <td>5410</td>\n",
       "      <td>7198</td>\n",
       "      <td>3915</td>\n",
       "      <td>1777</td>\n",
       "      <td>5185</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Channel  Region  Fresh  Milk  Grocery  Frozen  Detergents_Paper  Delicassen\n",
       "0        2       3  12669  9656     7561     214              2674        1338\n",
       "1        2       3   7057  9810     9568    1762              3293        1776\n",
       "2        2       3   6353  8808     7684    2405              3516        7844\n",
       "3        1       3  13265  1196     4221    6404               507        1788\n",
       "4        2       3  22615  5410     7198    3915              1777        5185"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#load the data\n",
    "data=pd.read_csv(\"Wholesale customers data.csv\")\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "    .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>Channel</th>\n",
       "      <th>Region</th>\n",
       "      <th>Fresh</th>\n",
       "      <th>Milk</th>\n",
       "      <th>Grocery</th>\n",
       "      <th>Frozen</th>\n",
       "      <th>Detergents_Paper</th>\n",
       "      <th>Delicassen</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.000112</td>\n",
       "      <td>0.000168</td>\n",
       "      <td>0.708333</td>\n",
       "      <td>0.539874</td>\n",
       "      <td>0.422741</td>\n",
       "      <td>0.011965</td>\n",
       "      <td>0.149505</td>\n",
       "      <td>0.074809</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.000125</td>\n",
       "      <td>0.000188</td>\n",
       "      <td>0.442198</td>\n",
       "      <td>0.614704</td>\n",
       "      <td>0.599540</td>\n",
       "      <td>0.110409</td>\n",
       "      <td>0.206342</td>\n",
       "      <td>0.111286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.000125</td>\n",
       "      <td>0.000187</td>\n",
       "      <td>0.396552</td>\n",
       "      <td>0.549792</td>\n",
       "      <td>0.479632</td>\n",
       "      <td>0.150119</td>\n",
       "      <td>0.219467</td>\n",
       "      <td>0.489619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.000065</td>\n",
       "      <td>0.000194</td>\n",
       "      <td>0.856837</td>\n",
       "      <td>0.077254</td>\n",
       "      <td>0.272650</td>\n",
       "      <td>0.413659</td>\n",
       "      <td>0.032749</td>\n",
       "      <td>0.115494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.000079</td>\n",
       "      <td>0.000119</td>\n",
       "      <td>0.895416</td>\n",
       "      <td>0.214203</td>\n",
       "      <td>0.284997</td>\n",
       "      <td>0.155010</td>\n",
       "      <td>0.070358</td>\n",
       "      <td>0.205294</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Channel    Region     Fresh      Milk   Grocery    Frozen  \\\n",
       "0  0.000112  0.000168  0.708333  0.539874  0.422741  0.011965   \n",
       "1  0.000125  0.000188  0.442198  0.614704  0.599540  0.110409   \n",
       "2  0.000125  0.000187  0.396552  0.549792  0.479632  0.150119   \n",
       "3  0.000065  0.000194  0.856837  0.077254  0.272650  0.413659   \n",
       "4  0.000079  0.000119  0.895416  0.214203  0.284997  0.155010   \n",
       "\n",
       "   Detergents_Paper  Delicassen  \n",
       "0          0.149505    0.074809  \n",
       "1          0.206342    0.111286  \n",
       "2          0.219467    0.489619  \n",
       "3          0.032749    0.115494  \n",
       "4          0.070358    0.205294  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#normalize the data\n",
    "scaled=normalize(data)\n",
    "scaled=pd.DataFrame(scaled,columns=data.columns)\n",
    "scaled.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#dendrogram to determine the number of clusters\n",
    "#x axis: samples ; y axis: distance between samples\n",
    "plt.figure(figsize=(10,7))\n",
    "plt.title(\"Dendrogram\")\n",
    "Z=linkage(scaled,method='ward')\n",
    "dendrograms=dendrogram(Z)        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x1396c6925c0>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#threshold\n",
    "#from the dendrogram we choose y=6 as the threshold\n",
    "plt.figure(figsize=(10,7))\n",
    "plt.title(\"Dendrogram\")\n",
    "Z=linkage(scaled,method='ward')\n",
    "dendrograms=dendrogram(Z)   \n",
    "plt.axhline(y=6,color='black')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0,\n",
       "       0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1,\n",
       "       1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1,\n",
       "       1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0,\n",
       "       0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1,\n",
       "       0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0,\n",
       "       0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1,\n",
       "       0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1,\n",
       "       0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1,\n",
       "       0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0,\n",
       "       0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0,\n",
       "       0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1,\n",
       "       1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0,\n",
       "       0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0,\n",
       "       0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0,\n",
       "       0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1,\n",
       "       1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0,\n",
       "       0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0,\n",
       "       1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1,\n",
       "       1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1],\n",
       "      dtype=int64)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#the line cuts at two points hence we have 2 clusters\n",
    "cluster=AgglomerativeClustering(n_clusters=2,affinity='euclidean',linkage='ward')\n",
    "cluster.fit_predict(scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1396ca30080>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x504 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#visualization\n",
    "plt.figure(figsize=(10,7))\n",
    "plt.scatter(scaled['Milk'],scaled['Grocery'],c=cluster.labels_,cmap = mcolors.ListedColormap([\"yellow\", \"green\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}