PredictiveAnalytics/lab5.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Кластеризация.\n",
    "Распределение студентов по типам учебных заведений"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "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>Education Level</th>\n",
       "      <th>Institution Type</th>\n",
       "      <th>Gender</th>\n",
       "      <th>Age</th>\n",
       "      <th>Device</th>\n",
       "      <th>IT Student</th>\n",
       "      <th>Location</th>\n",
       "      <th>Financial Condition</th>\n",
       "      <th>Internet Type</th>\n",
       "      <th>Network Type</th>\n",
       "      <th>Flexibility Level</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>University</td>\n",
       "      <td>Private</td>\n",
       "      <td>Male</td>\n",
       "      <td>23</td>\n",
       "      <td>Tab</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Wifi</td>\n",
       "      <td>4G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>University</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>23</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Mobile Data</td>\n",
       "      <td>4G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>College</td>\n",
       "      <td>Public</td>\n",
       "      <td>Female</td>\n",
       "      <td>18</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Wifi</td>\n",
       "      <td>4G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>11</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Mobile Data</td>\n",
       "      <td>4G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>18</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Poor</td>\n",
       "      <td>Mobile Data</td>\n",
       "      <td>3G</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1200</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>18</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Wifi</td>\n",
       "      <td>4G</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1201</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>18</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Rural</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Wifi</td>\n",
       "      <td>4G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1202</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>Male</td>\n",
       "      <td>11</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Mobile Data</td>\n",
       "      <td>3G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1203</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>18</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Rural</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Wifi</td>\n",
       "      <td>4G</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1204</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>Female</td>\n",
       "      <td>11</td>\n",
       "      <td>Mobile</td>\n",
       "      <td>No</td>\n",
       "      <td>Town</td>\n",
       "      <td>Poor</td>\n",
       "      <td>Mobile Data</td>\n",
       "      <td>3G</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1205 rows × 11 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Education Level Institution Type  Gender  Age  Device IT Student  \\\n",
       "0         University          Private    Male   23     Tab         No   \n",
       "1         University          Private  Female   23  Mobile         No   \n",
       "2            College           Public  Female   18  Mobile         No   \n",
       "3             School          Private  Female   11  Mobile         No   \n",
       "4             School          Private  Female   18  Mobile         No   \n",
       "...              ...              ...     ...  ...     ...        ...   \n",
       "1200         College          Private  Female   18  Mobile         No   \n",
       "1201         College          Private  Female   18  Mobile         No   \n",
       "1202          School          Private    Male   11  Mobile         No   \n",
       "1203         College          Private  Female   18  Mobile         No   \n",
       "1204          School          Private  Female   11  Mobile         No   \n",
       "\n",
       "     Location Financial Condition Internet Type Network Type Flexibility Level  \n",
       "0        Town                 Mid          Wifi           4G          Moderate  \n",
       "1        Town                 Mid   Mobile Data           4G          Moderate  \n",
       "2        Town                 Mid          Wifi           4G          Moderate  \n",
       "3        Town                 Mid   Mobile Data           4G          Moderate  \n",
       "4        Town                Poor   Mobile Data           3G               Low  \n",
       "...       ...                 ...           ...          ...               ...  \n",
       "1200     Town                 Mid          Wifi           4G               Low  \n",
       "1201    Rural                 Mid          Wifi           4G          Moderate  \n",
       "1202     Town                 Mid   Mobile Data           3G          Moderate  \n",
       "1203    Rural                 Mid          Wifi           4G               Low  \n",
       "1204     Town                Poor   Mobile Data           3G          Moderate  \n",
       "\n",
       "[1205 rows x 11 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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>Education Level</th>\n",
       "      <th>Institution Type</th>\n",
       "      <th>Age</th>\n",
       "      <th>Location</th>\n",
       "      <th>Financial Condition</th>\n",
       "      <th>Flexibility Level</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>University</td>\n",
       "      <td>Private</td>\n",
       "      <td>23</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>University</td>\n",
       "      <td>Private</td>\n",
       "      <td>23</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>College</td>\n",
       "      <td>Public</td>\n",
       "      <td>18</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>11</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>18</td>\n",
       "      <td>Town</td>\n",
       "      <td>Poor</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1200</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>18</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1201</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>18</td>\n",
       "      <td>Rural</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1202</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>11</td>\n",
       "      <td>Town</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1203</th>\n",
       "      <td>College</td>\n",
       "      <td>Private</td>\n",
       "      <td>18</td>\n",
       "      <td>Rural</td>\n",
       "      <td>Mid</td>\n",
       "      <td>Low</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1204</th>\n",
       "      <td>School</td>\n",
       "      <td>Private</td>\n",
       "      <td>11</td>\n",
       "      <td>Town</td>\n",
       "      <td>Poor</td>\n",
       "      <td>Moderate</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1205 rows × 6 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "     Education Level Institution Type  Age Location Financial Condition  \\\n",
       "0         University          Private   23     Town                 Mid   \n",
       "1         University          Private   23     Town                 Mid   \n",
       "2            College           Public   18     Town                 Mid   \n",
       "3             School          Private   11     Town                 Mid   \n",
       "4             School          Private   18     Town                Poor   \n",
       "...              ...              ...  ...      ...                 ...   \n",
       "1200         College          Private   18     Town                 Mid   \n",
       "1201         College          Private   18    Rural                 Mid   \n",
       "1202          School          Private   11     Town                 Mid   \n",
       "1203         College          Private   18    Rural                 Mid   \n",
       "1204          School          Private   11     Town                Poor   \n",
       "\n",
       "     Flexibility Level  \n",
       "0             Moderate  \n",
       "1             Moderate  \n",
       "2             Moderate  \n",
       "3             Moderate  \n",
       "4                  Low  \n",
       "...                ...  \n",
       "1200               Low  \n",
       "1201          Moderate  \n",
       "1202          Moderate  \n",
       "1203               Low  \n",
       "1204          Moderate  \n",
       "\n",
       "[1205 rows x 6 columns]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Импорт необходимых библиотек\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import KMeans, AgglomerativeClustering\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.metrics import silhouette_score\n",
    "from sklearn.preprocessing import StandardScaler, OneHotEncoder\n",
    "from sklearn.compose import ColumnTransformer\n",
    "\n",
    "# Загрузка данных\n",
    "df = pd.read_csv(\"data/students_education.csv\")\n",
    "df.columns\n",
    "display(df)\n",
    "df = df.drop(['Gender', 'IT Student', 'Device', 'Internet Type','Network Type'], axis=1)\n",
    "\n",
    "# Удаление целевой переменной 'Institution Type'\n",
    "X = df.drop(['Institution Type'], axis=1)\n",
    "\n",
    "# Преобразование категориальных переменных\n",
    "categorical_features = ['Education Level','Location','Financial Condition','Flexibility Level']\n",
    "numerical_features = ['Age']\n",
    "display(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Создание ColumnTransformer для обработки данных\n",
    "preprocessor = ColumnTransformer(\n",
    "    transformers=[\n",
    "        ('num', StandardScaler(), numerical_features),\n",
    "        ('cat', OneHotEncoder(), categorical_features)\n",
    "    ])\n",
    "\n",
    "# Преобразование данных\n",
    "X_scaled = preprocessor.fit_transform(X)\n",
    "\n",
    "# Понижение размерности с помощью PCA\n",
    "pca = PCA(n_components=2)\n",
    "X_pca = pca.fit_transform(X_scaled)\n",
    "\n",
    "# Визуализация данных после PCA\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.scatter(X_pca[:, 0], X_pca[:, 1], alpha=0.5)\n",
    "plt.title('Данные после PCA')\n",
    "plt.xlabel('PC1')\n",
    "plt.ylabel('PC2')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Определение оптимального количества кластеров с помощью метода локтя\n",
    "inertia = []\n",
    "for k in range(1, 11):\n",
    "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
    "    kmeans.fit(X_scaled)\n",
    "    inertia.append(kmeans.inertia_)\n",
    "\n",
    "# Визуализация метода локтя\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(range(1, 11), inertia, marker='o')\n",
    "plt.title('Метод локтя')\n",
    "plt.xlabel('Количество кластеров')\n",
    "plt.ylabel('Инерция')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Определение оптимального количества кластеров с помощью коэффициента силуэта\n",
    "silhouette_scores = []\n",
    "for k in range(2, 11):  # Коэффициент силуэта не определен для k=1\n",
    "    kmeans = KMeans(n_clusters=k, random_state=42)\n",
    "    kmeans.fit(X_scaled)\n",
    "    score = silhouette_score(X_scaled, kmeans.labels_)\n",
    "    silhouette_scores.append(score)\n",
    "\n",
    "# Визуализация коэффициента силуэта\n",
    "plt.figure(figsize=(8, 6))\n",
    "plt.plot(range(2, 11), silhouette_scores, marker='o')\n",
    "plt.title('Коэффициент силуэта')\n",
    "plt.xlabel('Количество кластеров')\n",
    "plt.ylabel('Коэффициент силуэта')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Кластеризация с использованием K-Means\n",
    "optimal_k = 3  # Выберите оптимальное количество кластеров на основе графиков\n",
    "kmeans = KMeans(n_clusters=optimal_k, random_state=42)\n",
    "kmeans_labels = kmeans.fit_predict(X_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Кластеризация с использованием Agglomerative Clustering\n",
    "agg_clustering = AgglomerativeClustering(n_clusters=optimal_k)\n",
    "agg_labels = agg_clustering.fit_predict(X_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'PC2')"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Визуализация результатов кластеризации\n",
    "plt.figure(figsize=(16, 8))\n",
    "\n",
    "# K-Means\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=kmeans_labels, cmap='viridis', alpha=0.5)\n",
    "plt.title('Неиерархическая кластеризация')\n",
    "plt.xlabel('PC1')\n",
    "plt.ylabel('PC2')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Agglomerative Clustering\n",
    "plt.subplot(1, 2, 2)\n",
    "plt.scatter(X_pca[:, 0], X_pca[:, 1], c=agg_labels, cmap='viridis', alpha=0.5)\n",
    "plt.title('Иерархическая кластеризация')\n",
    "plt.xlabel('PC1')\n",
    "plt.ylabel('PC2')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Коэффициент силуэта для K-Means: 0.3456393814525895\n",
      "Коэффициент силуэта для Agglomerative Clustering: 0.3584732406902143\n"
     ]
    }
   ],
   "source": [
    "# Оценка качества кластеризации\n",
    "print(\"Коэффициент силуэта для K-Means:\", silhouette_score(X_scaled, kmeans_labels))\n",
    "print(\"Коэффициент силуэта для Agglomerative Clustering:\", silhouette_score(X_scaled, agg_labels))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "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": "3.12.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}