{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 208
    },
    "colab_type": "code",
    "id": "-F45aVkxh7iN",
    "outputId": "239385a1-2f5d-4868-9959-4c68067b8209"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Requirement already satisfied: kaggle in /usr/local/lib/python3.6/dist-packages (1.5.6)\n",
      "Requirement already satisfied: python-slugify in /usr/local/lib/python3.6/dist-packages (from kaggle) (4.0.0)\n",
      "Requirement already satisfied: urllib3<1.25,>=1.21.1 in /usr/local/lib/python3.6/dist-packages (from kaggle) (1.24.3)\n",
      "Requirement already satisfied: python-dateutil in /usr/local/lib/python3.6/dist-packages (from kaggle) (2.6.1)\n",
      "Requirement already satisfied: tqdm in /usr/local/lib/python3.6/dist-packages (from kaggle) (4.28.1)\n",
      "Requirement already satisfied: requests in /usr/local/lib/python3.6/dist-packages (from kaggle) (2.21.0)\n",
      "Requirement already satisfied: certifi in /usr/local/lib/python3.6/dist-packages (from kaggle) (2019.9.11)\n",
      "Requirement already satisfied: six>=1.10 in /usr/local/lib/python3.6/dist-packages (from kaggle) (1.12.0)\n",
      "Requirement already satisfied: text-unidecode>=1.3 in /usr/local/lib/python3.6/dist-packages (from python-slugify->kaggle) (1.3)\n",
      "Requirement already satisfied: chardet<3.1.0,>=3.0.2 in /usr/local/lib/python3.6/dist-packages (from requests->kaggle) (3.0.4)\n",
      "Requirement already satisfied: idna<2.9,>=2.5 in /usr/local/lib/python3.6/dist-packages (from requests->kaggle) (2.8)\n"
     ]
    }
   ],
   "source": [
    "from google.colab import files\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline \n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "from pandas import DataFrame\n",
    "\n",
    "from matplotlib import pyplot as plt\n",
    "from google.colab import files\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.cluster import KMeans\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.metrics.pairwise import cosine_similarity\n",
    "from sklearn.datasets import load_iris\n",
    "import scipy.cluster.hierarchy as shc\n",
    "from sklearn.cluster import AgglomerativeClustering\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn import metrics\n",
    "from sklearn import preprocessing\n",
    "\n",
    "\n",
    "!pip install kaggle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 75,
     "resources": {
      "http://localhost:8080/nbextensions/google.colab/files.js": {
       "data": 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",
       "headers": [
        [
         "content-type",
         "application/javascript"
        ]
       ],
       "ok": true,
       "status": 200,
       "status_text": ""
      }
     }
    },
    "colab_type": "code",
    "id": "sfxWdaVECzIp",
    "outputId": "ed6a0e01-3406-421d-9551-a36c77362582"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "     <input type=\"file\" id=\"files-60e0ff4c-f7e3-4cf5-83be-13c2adbea444\" name=\"files[]\" multiple disabled />\n",
       "     <output id=\"result-60e0ff4c-f7e3-4cf5-83be-13c2adbea444\">\n",
       "      Upload widget is only available when the cell has been executed in the\n",
       "      current browser session. Please rerun this cell to enable.\n",
       "      </output>\n",
       "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Saving kaggle.json to kaggle.json\n"
     ]
    }
   ],
   "source": [
    "file = files.upload()\n",
    "!mkdir ~/.kaggle\n",
    "!mv kaggle.json ~/.kaggle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 139
    },
    "colab_type": "code",
    "id": "n9Jt9AByC60p",
    "outputId": "0cfab9df-90c8-441c-a73a-3535d09e18a8"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: Your Kaggle API key is readable by other users on this system! To fix this, you can run 'chmod 600 /root/.kaggle/kaggle.json'\n",
      "Downloading german-credit.zip to /content\n",
      "\r",
      "  0% 0.00/10.9k [00:00<?, ?B/s]\n",
      "\r",
      "100% 10.9k/10.9k [00:00<00:00, 10.9MB/s]\n",
      "Archive:  german-credit.zip\n",
      "  inflating: german_credit_data.csv  \n",
      "german_credit_data.csv\tgerman-credit.zip  sample_data\n"
     ]
    }
   ],
   "source": [
    "!kaggle datasets download uciml/german-credit\n",
    "!unzip german-credit.zip\n",
    "!ls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 202
    },
    "colab_type": "code",
    "id": "v6FjTl0MEFcY",
    "outputId": "39deecf0-953f-41a4-fd95-5c7ac7bf674d"
   },
   "outputs": [
    {
     "data": {
      "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>Age</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Job</th>\n",
       "      <th>Housing</th>\n",
       "      <th>Saving accounts</th>\n",
       "      <th>Checking account</th>\n",
       "      <th>Credit amount</th>\n",
       "      <th>Duration</th>\n",
       "      <th>Purpose</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>67</td>\n",
       "      <td>male</td>\n",
       "      <td>2</td>\n",
       "      <td>own</td>\n",
       "      <td>NaN</td>\n",
       "      <td>little</td>\n",
       "      <td>1169</td>\n",
       "      <td>6</td>\n",
       "      <td>radio/TV</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>22</td>\n",
       "      <td>female</td>\n",
       "      <td>2</td>\n",
       "      <td>own</td>\n",
       "      <td>little</td>\n",
       "      <td>moderate</td>\n",
       "      <td>5951</td>\n",
       "      <td>48</td>\n",
       "      <td>radio/TV</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49</td>\n",
       "      <td>male</td>\n",
       "      <td>1</td>\n",
       "      <td>own</td>\n",
       "      <td>little</td>\n",
       "      <td>NaN</td>\n",
       "      <td>2096</td>\n",
       "      <td>12</td>\n",
       "      <td>education</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>45</td>\n",
       "      <td>male</td>\n",
       "      <td>2</td>\n",
       "      <td>free</td>\n",
       "      <td>little</td>\n",
       "      <td>little</td>\n",
       "      <td>7882</td>\n",
       "      <td>42</td>\n",
       "      <td>furniture/equipment</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>53</td>\n",
       "      <td>male</td>\n",
       "      <td>2</td>\n",
       "      <td>free</td>\n",
       "      <td>little</td>\n",
       "      <td>little</td>\n",
       "      <td>4870</td>\n",
       "      <td>24</td>\n",
       "      <td>car</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age     Sex  Job  ... Credit amount Duration              Purpose\n",
       "0   67    male    2  ...          1169        6             radio/TV\n",
       "1   22  female    2  ...          5951       48             radio/TV\n",
       "2   49    male    1  ...          2096       12            education\n",
       "3   45    male    2  ...          7882       42  furniture/equipment\n",
       "4   53    male    2  ...          4870       24                  car\n",
       "\n",
       "[5 rows x 9 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# читаем\n",
    "data = pd.read_csv('german_credit_data.csv', header=0, sep=',', index_col = 0)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "nWZeGZPGEyi8"
   },
   "source": [
    "# Предобработка"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 237
    },
    "colab_type": "code",
    "id": "Opb35634Etml",
    "outputId": "5163ee6d-ed8b-4960-8a6e-bb4306efb1a9"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.6/dist-packages/pandas/core/ops/__init__.py:1115: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  result = method(y)\n"
     ]
    },
    {
     "data": {
      "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>Age</th>\n",
       "      <th>Sex</th>\n",
       "      <th>Job</th>\n",
       "      <th>Housing</th>\n",
       "      <th>Saving accounts</th>\n",
       "      <th>Checking account</th>\n",
       "      <th>Credit amount</th>\n",
       "      <th>Duration</th>\n",
       "      <th>Purpose</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>67</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1169</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>22</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>5951</td>\n",
       "      <td>48</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>49</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>2096</td>\n",
       "      <td>12</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>45</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>7882</td>\n",
       "      <td>42</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>53</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>4870</td>\n",
       "      <td>24</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Age  Sex  Job  Housing  ...  Checking account  Credit amount  Duration  Purpose\n",
       "0   67    1    2        1  ...                 1           1169         6        5\n",
       "1   22    0    2        1  ...                 2           5951        48        5\n",
       "2   49    1    1        1  ...                 0           2096        12        3\n",
       "3   45    1    2        0  ...                 1           7882        42        4\n",
       "4   53    1    2        0  ...                 1           4870        24        1\n",
       "\n",
       "[5 rows x 9 columns]"
      ]
     },
     "execution_count": 7,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# преобразование Saving accounts\n",
    "data.loc[data['Saving accounts'].isnull(), 'Saving accounts'] = \"no\"\n",
    "data.loc[data['Checking account'].isnull(), 'Checking account'] = \"no\"\n",
    "data[data['Job'] == 'no'].Job = 4\n",
    "\n",
    "# Перевод фичей в числовой вид\n",
    "enc = preprocessing.OrdinalEncoder(dtype='int8')\n",
    "data['Sex'] = enc.fit_transform(data[['Sex']])\n",
    "data['Housing'] = enc.fit_transform(data[['Housing']])\n",
    "data['Purpose'] = enc.fit_transform(data[['Purpose']])\n",
    "\n",
    "enc_accounts = preprocessing.OrdinalEncoder(categories = { 0:['no', 'little', 'moderate', 'rich', 'quite rich']}, dtype='int8')\n",
    "data['Saving accounts'] = enc_accounts.fit_transform(data[['Saving accounts']])\n",
    "data['Checking account'] = enc_accounts.fit_transform(data[['Checking account']])\n",
    "\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "q6Oj7wdyjs92"
   },
   "outputs": [],
   "source": [
    "# маштабирование\n",
    "X = np.asarray(data)\n",
    "\n",
    "scale = StandardScaler()\n",
    "X = scale.fit_transform(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "hoe-aXseh8Kw"
   },
   "source": [
    "# Кластеризуем"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "_rzTQN24N2gv"
   },
   "outputs": [],
   "source": [
    "def report_on_clusterisation(labels_true, labels):\n",
    "  print(\"  homogeneity - %0.3f\" % metrics.homogeneity_score(labels_true, labels))\n",
    "  print(\"  completeness - %0.3f\" % metrics.completeness_score(labels_true, labels))\n",
    "  print(\"  v-measure - %0.3f\" % metrics.v_measure_score(labels_true, labels))\n",
    "  print(\"  silhouette - %0.3f\" % metrics.silhouette_score(X, labels))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 265
    },
    "colab_type": "code",
    "id": "nyKwVFdJiDOG",
    "outputId": "5ee934d5-514b-4bfa-8015-3be41524a9b7"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k9m9DC9Rvn9I7IpKalStjnGDWLDj88Cgot3w5vPvup/dr1ixmC61dC0ccAYsX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\nqcIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# KMeans\n",
    "from sklearn.cluster import KMeans\n",
    "\n",
    "n_clusters=30\n",
    "data_fit=[]\n",
    "for i in range(1,n_clusters):\n",
    "    kmean = KMeans(i)\n",
    "    kmean.fit(X)\n",
    "    data_fit.append(kmean.inertia_)  \n",
    "\n",
    "plt.plot(data_fit, 'bx-')\n",
    "\n",
    "# считаем для 5\n",
    "kmean = KMeans(5)\n",
    "kmean.fit(X)\n",
    "labels_km = kmean.labels_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 337
    },
    "colab_type": "code",
    "id": "f5fGurQImLxs",
    "outputId": "bc9fffef-b610-48ab-b48c-5d65d1fee4c8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f2bd8e9f080>"
      ]
     },
     "execution_count": 18,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2L6y11hhjt9FMb2vtKmNMP+B1Y8wsa+3ibfR3FnAWQK9evT5veCIiIsC/EWjW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\naQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# DBScan\n",
    "from sklearn.cluster import DBSCAN\n",
    "dbscan = DBSCAN(eps=1, min_samples=1).fit(X)\n",
    "labels_db = dbscan.labels_\n",
    "plt.figure(figsize=(7, 5))\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels_db)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 597
    },
    "colab_type": "code",
    "id": "J8zmnlIViviL",
    "outputId": "0a585a98-4dda-43cb-a6bc-ea0a5a2c1c6b"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qFXF5uZ/r6lM5BG01hZq7wsspwpg2ry2vCUbSZqFmETa/cmAnmAOqtKnCKuty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\n",
      "text/plain": [
       "<Figure size 1440x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.cluster import hierarchy\n",
    "from scipy.spatial.distance import pdist\n",
    "\n",
    "distance_mat = pdist(X) # pdist посчитает нам верхний треугольник матрицы попарных расстояний\n",
    "Z = hierarchy.linkage(distance_mat, 'ward') # linkage — реализация агломеративного алгоритма\n",
    "plt.figure(figsize=(20, 10))\n",
    "dn = hierarchy.dendrogram(Z, leaf_font_size=8., leaf_rotation=90.)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "8H5kwAUon94Z"
   },
   "source": [
    "# TSNE и визуализация"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {},
    "colab_type": "code",
    "collapsed": true,
    "id": "Q-Y7P1zDoBtK"
   },
   "outputs": [],
   "source": [
    " from sklearn.manifold import TSNE\n",
    " X_embedded = TSNE(n_components=2).fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 283
    },
    "colab_type": "code",
    "id": "eRWfXQaNpRlI",
    "outputId": "f207ae93-920c-473d-884a-ffbff12a61dd"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f2bd2795cf8>"
      ]
     },
     "execution_count": 36,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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So9frCI4IYuDD/bnjxaElBh4gqEFAyc89b4nBuWfAdcyyRU4atY5Elt2InwG5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k7nUuJwIZBoegSmqZOZE87fPhhJWkYMP79xM7LwVWXkFTWijHw9SQgPx26xUOTH0NdEmXvC9Brh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\nFQqFohWjjLxCoVC0YpSRVygUilbM/wN+ba/9tcMTgwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# KMeans\n",
    "plt.scatter(X_embedded[:, 0], X_embedded[:, 1], c=labels_km)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 283
    },
    "colab_type": "code",
    "id": "yNKaejHlpwjL",
    "outputId": "1150348a-4d9a-4e23-e151-09af38756455"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f2bd8d92780>"
      ]
     },
     "execution_count": 30,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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8cHRtk8yM+6+t+/z64uW8OH8JRoi5tY2KZsp1E7n7i9nsKCohcMiirttuY9LJ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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# DendroGRAMM\n",
    "from scipy.cluster.hierarchy import fcluster\n",
    "labels_dg = fcluster(Z, 10, criterion='distance')\n",
    "plt.scatter(X_embedded[:, 0], X_embedded[:, 1], c=labels_dg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 283
    },
    "colab_type": "code",
    "id": "jnhkAzVMpCEA",
    "outputId": "da3c1d72-d69a-414b-dcef-0b03faf7ec21"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x7f2bd8d6bbe0>"
      ]
     },
     "execution_count": 24,
     "metadata": {
      "tags": []
     },
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xD+I0lZxXY8ktcUAYEt1lMvjYMlJHtgDQWhKk/JVizDYXUsLbL2+gqLaNPbMC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\nzHRiHQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# DB Scan\n",
    "plt.scatter(X_embedded[:, 0], X_embedded[:, 1], c=labels_db)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "5Z_zG_M2r3lx"
   },
   "source": [
    "# Интерпретация"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 0,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000
    },
    "colab_type": "code",
    "id": "2xCWE_8Cr9iI",
    "outputId": "fac39fc2-4977-4ab2-bc22-9f659f56a34c"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AVcApVXVlj5s4ucd1TRP3W8vV6u/Q/dZytfo7dL8bMZZzACVJkrRyeSs4SZKkxhgAJUmS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\nZ0gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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q/hT4GLBzBMeRJEnSMqSqhrvD5ApgR1X9eFv/MeC1VfWuk+btAfa01e8BPr/Ers8Cjg21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\nJUmSOub/AYPQGYYGqoxbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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9GbWq+jpwA7Col9cPgTUzY6yZkbNmZkxPNbOcepn2AOhr5WZIu3H1EmBvVV006f6MSpK1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\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+JLva42cnUWer5Q1Jbk9y42G2J8mF7bXckOSkla5xXi2L1fqUJHfPe19/f6VrnFfLhiTX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\nAJQkSeqMAVCSJKkzBkBJkqTO/B83DbYtkvbAUAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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nAk8kObaqHk9yLLBjAHVKc2oh/I9gIbwGSdJwzPoj4CT/NMmL9q4DbwY2AzcC5zbTzgVu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\nTkSuQmCC\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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V9flV6LuLmumhXsCasWYmx5qZu7/n2DUz62cAu3mkXFV9Cnh0rccxTVX1YFXd2eYfA+4F\nNq7tqCavBh5vL49t02odaXVRMz3UC1gzq9S9NTNHrJnlm/UAuBH4+tDr/czhH7JHSTYBzwG+sLYj\nmY4k65LsAh4Bbqmq1dpPa2ZOWTNTY83MKWvmyGY9AGoOJTkOuAF4c1X9+VqPZxqq6smqOovBU3DO\nTjK3l1w0fdaMNBprZmmzHgB9pNycafcq3ABcW1UfXOvxTFtVfRO4DVjWw+snwJqZM9bM1Fkzc8aa\nWZ5ZD4A+Um6OtJtW3wPcW1WXr/V4piXJ+iQntPkfYHBz+VdWqXtrZo5YM6vCmpkj1szyzXQArKon\ngEOPlLsXuH4Cj5SbSUneD3wO+LEk+5O8fq3HNAUvAi4GXpZkV5tetdaDmoKTgduS3MXgfy63VNWH\nV6PjXmqmk3oBa2bqrJm5Y80s00x/DYwkSZImb6bPAEqSJGnyDICSJEmdMQBKkiR1xgAoSZLUGQOg\nJElSZwyAU5DkWUmuS/JHSe5IcnOSv5vknCRjf7XBYttJ8tNJdoy7/VmU5M1J/tZaj0PTYc1MnjUz\n36yZyeutZgyAE9a+hPJG4BNVdVpVPQ94C7Bh2n1X1U1Vddm0+1kjbwa6KcyeWDNTY83MKWtmarqq\nGQPg5L0U+Ouq+q1DDVW1u6r+X3t5XJLfS/KVJNe2QibJ85J8sh3JfSzJya39R5P83yS7k9yZ5LTh\nzpL8wyRfSnJaktcmeWdrvyrJO5J8Nsn9SS5o7U9J8q7W/y3tqPGCw3ciyb9J8sXW7w2HjoqSbEhy\nY2vfneSFrf2SJHe1tve2tk1JPt7ab03y7KGxXTDU1+Pt5zlJPnH47yfJG4EfZvCll7dN4o+kmWLN\nWDMajTVjzYyvqpwmOAFvBN6+yHvnAN9i8KzJpzD4VvYXA8cCnwXWt+X+JXBlm/8C8Oo2/3QGRyfn\nAB8GXgjcATy7vf9a4J1t/irgA62f04G9rf0C4ObW/izgz4ALFhjrM4fmfw34hTb/uwwerg2wDvgh\n4AzgD4GTWvuJ7ef/Aba1+X8F/P7Q2C4Y2v7jR/r9tPf2Hdq+03xN1ow142TNWDOrPx2DVtvtVbUf\nIMkuYBPwTeBM4JZ2oLYOeDDJ8cDGqroRoKr+sq0H8PeAK4BXVNWfLtLX71fV3wD3JDl0aeDFwAda\n+0NHONI5M8mvAScAxzF4TBLAy4BL2nieBL6V5JK2zYOt/dG27AuAf97m3wv896V/PQv+fj69jPU0\nv6yZI7NmdDhr5sisGTAATsEeBkc/i/nO0PyTDP4GAfZU1QuGF2yFuZgHGRypPQdYrDCH+8oRtrWQ\nq4Dzq2p3ktcyOGqalCdotx8keQrw1KH3Fvr9aL5ZM0uzZjTMmlmaNbME7wGcvI8DT0uy/VBDkh9P\n8o+OsM59wPokL2jLH5vkjKp6DNif5PzW/rR89xNK3wTOBd6W5JwRxvcZ4GfaPRobWLzgjmdwdHgs\n8LND7bcCP9/Gsy7JD7V9/hdJntnaT2zLfha4qM3/LHDo/pR9wPPa/E8zuDSxlMfamDR/rBlrRqOx\nZqyZsRkAJ6wGNxK8GvgnGXw8fw/wNuChI6zzVwyO5n49yW5gF4P7LgAuBt6Y5C4G/9CfNbTew8A/\nBX4zyU8sc4g3APuBe4D/DdzJ4H6Iw/0ig/tCPgN8Zaj9TcBLk3yZwX0hp1fVHuCtwCfb+C9vy/4C\n8Lo29ovbugC/A/zjtuwLgG8vY9xXAB/t5ubcjlgz1oxGY81YM5OQduOjOpLkuKp6vB1J3Q68qKoW\n/Q+H1DtrRhqNNTP7urzuLT6c5AQG90T8qkUpLcmakUZjzcw4zwBKkiR1xnsAJUmSOmMAlCRJ6owB\nUJIkqTMGQEmSpM4YACVJkjrz/wGqK+ZzME11UwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ASlp2C/1i9weQJA2XDeAy8OowSZLGUz//Rk/yj1UvApEkSWoZ9wBKGjseIpak4bIBHFNe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\nUsvYAEqSJLWMDaAkSVLL2ABKkiS1zP8DsSinUyRKlVgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XKckT6RXl+VX1+a75wSQruvdXANvH1b8+/DrwW0m2AhfSG6I/Bzg4ydyNwqflUX7bgG1V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\nSY0xAEqSJDXGAChJktQYA6AkSVJj/h8jYhJ2aGcb6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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pKJuBzVW145Xx+Sw0al/YM7PDnpkP9szssGeW0awHwF5cUi5JWHgvwPVVdeq06xlGVZ1c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\npIIJ2jzDjUEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 648x216 with 3 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Интерпретация кластеров - KMeans за основу - \n",
    "kmean = KMeans(3)\n",
    "kmean.fit(X)\n",
    "labels_km = kmean.labels_\n",
    "\n",
    "# рисуем\n",
    "clusters=pd.concat([data, pd.DataFrame({'cluster':labels_km})], axis=1)\n",
    "for c in clusters:\n",
    "  grid= sns.FacetGrid(clusters, col='cluster')\n",
    "  grid.map(plt.hist, c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "fQAnjkFNtO8N"
   },
   "source": [
    "Интерпретация кластеров: он отобрал близкие значения по возрасту, полу и объёму кредита..."
   ]
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [],
   "name": "OTUS 14 ДЗ.ipynb",
   "provenance": []
  },
  "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": "3.6.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
