Psafe - Detecção de Malware.ipynb

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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<center><h1> Detecção de Malware - Desafio </h1></center>\n",
    "\n",
    "\n",
    "<p align=\"justify\"> O objetivo é utilizar um modelo de predição que permita classificar se um \n",
    "determinado app é confiável ou é um possível malware. Em uma análise prévia,\n",
    "foi identificado que o campo mais importante para isso são as permissões que\n",
    "cada aplicativo solicita ao android. No arquivo JSON, esse campo é representado pela coluna \"permissions\", contendo um array list com todas as permissões solicitadas por algum determinado aplicativo. Nesse sentido, algumas dessas permissões\n",
    "são características de malwares, o que permite separarmos subconjuntos dessas\n",
    "permissões para analisar o problema. </p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Bibliotecas utilizadas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import json  \n",
    "import pandas as pd  \n",
    "from pandas.io.json import json_normalize  \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.svm import SVC, LinearSVC\n",
    "from sklearn.ensemble import ExtraTreesClassifier\n",
    "from sklearn.linear_model import LogisticRegression\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.ensemble import RandomForestClassifier , GradientBoostingClassifier\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn.svm import SVC\n",
    "\n",
    "from sklearn.metrics import accuracy_score\n",
    "from sklearn.metrics import confusion_matrix\n",
    "from sklearn.metrics import classification_report\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.ensemble import RandomForestClassifier , GradientBoostingClassifier\n",
    "\n",
    "%matplotlib inline "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Carregando arquivo JSON"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "local = r\"C:\\\\Users\\\\vitor\\\\Desktop\\\\Desafio\\\\dataset_train_reduced.json\"\n",
    "file = pd.read_json(local, lines=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Mostrar dados do arquivo JSON"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\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>package_name</th>\n",
       "      <th>app_name</th>\n",
       "      <th>permissions</th>\n",
       "      <th>size</th>\n",
       "      <th>classification</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>tp5x.WGt12</td>\n",
       "      <td>Установка</td>\n",
       "      <td>[]</td>\n",
       "      <td>73183</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>com.googleapi.org</td>\n",
       "      <td>Speedway_GP_2011</td>\n",
       "      <td>[com.android.launcher.permission.INSTALL_SHORT...</td>\n",
       "      <td>243718</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>com.apps.pack</td>\n",
       "      <td>Установка</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>152618</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>upk.sxnjiwpcc.xasnz</td>\n",
       "      <td>Minecraft_PE</td>\n",
       "      <td>[com.android.launcher.permission.INSTALL_SHORT...</td>\n",
       "      <td>220811</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>jmahdnf.fndkfee.cccmnld.bnmnemb.icoigib.ponbeef</td>\n",
       "      <td>魅影视频</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>797808</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                      package_name          app_name  \\\n",
       "0                                       tp5x.WGt12         Установка   \n",
       "1                                com.googleapi.org  Speedway_GP_2011   \n",
       "2                                    com.apps.pack         Установка   \n",
       "3                              upk.sxnjiwpcc.xasnz      Minecraft_PE   \n",
       "4  jmahdnf.fndkfee.cccmnld.bnmnemb.icoigib.ponbeef              魅影视频   \n",
       "\n",
       "                                         permissions    size classification  \n",
       "0                                                 []   73183        malware  \n",
       "1  [com.android.launcher.permission.INSTALL_SHORT...  243718        malware  \n",
       "2  [android.permission.INTERNET, android.permissi...  152618        malware  \n",
       "3  [com.android.launcher.permission.INSTALL_SHORT...  220811        malware  \n",
       "4  [android.permission.INTERNET, android.permissi...  797808        malware  "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "file.head(5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eliminando Colunas Desnecessárias\n",
    "\n",
    "Como o coluna <i><b>permissions</b></i> é a mais relevante para classificar se um aplicativo é ou não um malware, todas as outras foram removidas. Nesse caso, as colunas <i>package_name, app_name, size</i> não fazem sentido participarem da predição, elas podem ser utilizadas apenas para fins de identificação da aplicação."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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>permissions</th>\n",
       "      <th>classification</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>[]</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>[com.android.launcher.permission.INSTALL_SHORT...</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>[com.android.launcher.permission.INSTALL_SHORT...</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>malware</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19995</th>\n",
       "      <td>[android.permission.ACCESS_FINE_LOCATION, andr...</td>\n",
       "      <td>trusted</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19996</th>\n",
       "      <td>[android.permission.ACCESS_NETWORK_STATE, andr...</td>\n",
       "      <td>trusted</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19997</th>\n",
       "      <td>[jp.comico.permission.C2D_MESSAGE, com.google....</td>\n",
       "      <td>trusted</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19998</th>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>trusted</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19999</th>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>trusted</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>20000 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                             permissions classification\n",
       "0                                                     []        malware\n",
       "1      [com.android.launcher.permission.INSTALL_SHORT...        malware\n",
       "2      [android.permission.INTERNET, android.permissi...        malware\n",
       "3      [com.android.launcher.permission.INSTALL_SHORT...        malware\n",
       "4      [android.permission.INTERNET, android.permissi...        malware\n",
       "...                                                  ...            ...\n",
       "19995  [android.permission.ACCESS_FINE_LOCATION, andr...        trusted\n",
       "19996  [android.permission.ACCESS_NETWORK_STATE, andr...        trusted\n",
       "19997  [jp.comico.permission.C2D_MESSAGE, com.google....        trusted\n",
       "19998  [android.permission.INTERNET, android.permissi...        trusted\n",
       "19999  [android.permission.INTERNET, android.permissi...        trusted\n",
       "\n",
       "[20000 rows x 2 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = file\n",
    "data.drop(['size','app_name','package_name'], axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Categorizando variáveis do tipo String\n",
    "\n",
    "Todas as colunas do teste estão em formato de string, sendo necessário a categorização delas. Para a coluna <i>classification</i>, foi determinado um valor binário. Sendo o <i><b>valor 0</b></i> indicado a presença de um <i><b>malware</b></i> e o <i><b>valor 1</b></i> para uma aplicação  <i><b>confiável (trusted)</b></i>.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['classification'] = data.classification.astype(\"category\").cat.codes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uma Análise prévia da coluna <i>permissions</i> \n",
    "\n",
    "Algumas coisas são interessantes nessa coluna. Existem permissões que são ambiguas, elas podem estar tanto em um app malicioso quanto em um app confiável. Um exemplo disso é a permissão <i><b>android.permission.INTERNET</b></i>. Nesse aspecto, em uma análise prévia, é possível ver que de todos os apps que essa permissão aparece, 9110 são classificados como maliciosos e 9071 como confiáveis. Criei um simples contador para verificar essa informação: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def count_permissions(name):\n",
    "    malware = 0\n",
    "    trusted = 0\n",
    "    \n",
    "    for x, y in zip(data.classification, data.permissions):\n",
    "        check = name in y\n",
    "        if check and x == 0:\n",
    "            malware = malware + 1\n",
    "        if check and x == 1:\n",
    "            trusted = trusted + 1\n",
    "            \n",
    "    return [malware, trusted]\n",
    "\n",
    "def show_plt(array):\n",
    "    plt.pie(array, labels = ['malware', 'trusted'], \n",
    "            colors = ['red', 'blue'], \n",
    "            autopct='%1.1f%%', startangle = 90)\n",
    "    plt.show()\n",
    "        \n",
    "plt.title('Relação de classificação entre apps com a permissão INTERNET')\n",
    "show_plt(count_permissions('android.permission.INTERNET'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Na maioria dos casos, a permissão <i><b>android.permission.DISABLE_KEYGUARD</b></i> aparece mais frequentemente em aplicações com a classificação de malware."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Relação de classificação entre apps com a permissão DISABLE_KEYGUARD')\n",
    "show_plt(count_permissions('android.permission.DISABLE_KEYGUARD'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Relação de classificação entre apps com a permissão MODIFY_PHONE_STATE')\n",
    "show_plt(count_permissions('android.permission.MODIFY_PHONE_STATE'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Relação de classificação entre apps com a permissão DELETE_PACKAGES')\n",
    "show_plt(count_permissions('android.permission.DELETE_PACKAGES'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Com isso, é possível extrair alguns subconjuntos em comum. Por exemplo, a frequência em que as permissões <i><b>DELETE_PACKAGES</b></i> e <i><b>DISABLE_KEYGUARD</b></i> aparecem juntas na lista. Isso permite extrair fortes correlações, como a presença de específicas permissões na identificação de um malware. Além disso, é possível também identificar tipos de malware usando essa categoria. Por exemplo, um malware espião pode ter permissões específicas que permitam identifica-lo como um <b><i>spyware</i></b>."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def count_two_permissions(nA, nB):\n",
    "    malware = 0\n",
    "    trusted = 0\n",
    "    \n",
    "    for x, y in zip(data.classification, data.permissions):\n",
    "        \n",
    "        check = (nA in y) and (nB in y)\n",
    "        \n",
    "        if check and x == 0:\n",
    "            malware = malware + 1\n",
    "        if check and x == 1:\n",
    "            trusted = trusted + 1\n",
    "     \n",
    "    return [malware, trusted]\n",
    "\n",
    "\n",
    "def count_three_permissions(nA, nB, nC):\n",
    "    malware = 0\n",
    "    trusted = 0\n",
    "    \n",
    "    for x, y in zip(data.classification, data.permissions):\n",
    "        \n",
    "        check = (nA in y) and (nB in y) and (nC in y)\n",
    "        \n",
    "        if check and x == 0:\n",
    "            malware = malware + 1\n",
    "        if check and x == 1:\n",
    "            trusted = trusted + 1\n",
    "            \n",
    "    return [malware, trusted]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Uma forte correlação entre as permissões DELETE_PACKAGES e DISABLE_KEYGUARD')\n",
    "show_plt(count_two_permissions('android.permission.DELETE_PACKAGES', \n",
    "                               'android.permission.DISABLE_KEYGUARD'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('Uma forte correlação entre as permissões DELETE_PACKAGES, DISABLE_KEYGUARD, MODIFY_PHONE_STATE')\n",
    "show_plt(count_three_permissions('android.permission.DELETE_PACKAGES', \n",
    "                                 'android.permission.DISABLE_KEYGUARD',\n",
    "                                 'android.permission.MODIFY_PHONE_STATE'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extraindo apenas <i>android.permissions</i>\n",
    "\n",
    "Esse trecho permite extrair apenas as permissões do tipo <i><b>android.permissions</b></i>. O JSON original foi filtrado, retirando apenas as partes mais relevantes de cada permissão. Com isso, apenas os dados com as <i>android.permission.</i> foram classificados como relevantes para analisar, já que existem um grande número de permissões para analisar. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "android_permissions_json = [\n",
    " 'android.permission.READ_SETTINGS',\n",
    " 'android.permission.WRITE_SETTINGS',\n",
    " 'android.permission.ACCESS_NETWORK_STATE',\n",
    " 'android.permission.WRITE_EXTERNAL_STORAGE',\n",
    " 'android.permission.INTERNET',\n",
    " 'android.permission.READ_PHONE_STATE',\n",
    " 'android.permission.READ_SMS',\n",
    " 'android.permission.SEND_SMS',\n",
    " 'android.permission.RECEIVE_SMS',\n",
    " 'android.permission.WAKE_LOCK',\n",
    " 'android.permission.CALL_PHONE',\n",
    " 'android.permission.PROCESS_OUTGOING_CALLS',\n",
    " 'android.permission.CHANGE_COMPONENT_ENABLED_STATE',\n",
    " 'android.permission.RECEIVE_BOOT_COMPLETED',\n",
    " 'android.permission.ACCESS_FINE_LOCATION',\n",
    " 'android.permission.ACCESS_COARSE_LOCATION',\n",
    " 'android.permission.ACCESS_LOCATION_EXTRA_COMMANDS',\n",
    " 'android.permission.ACCESS_WIFI_STATE',\n",
    " 'android.permission.CLEAR_APP_CACHE',\n",
    " 'android.permission.MOUNT_UNMOUNT_FILESYSTEMS',\n",
    " 'android.permission.GET_TASKS',\n",
    " 'android.permission.CHANGE_WIFI_STATE',\n",
    " 'android.permission.BAIDU_LOCATION_SERVICE',\n",
    " 'android.permission.ACCESS_MOCK_LOCATION',\n",
    " 'android.permission.ACCESS_GPS',\n",
    " 'android.permission.SYSTEM_ALERT_WINDOW',\n",
    " 'android.permission.SYSTEM_OVERLAY_WINDOW',\n",
    " 'android.permission.DISABLE_KEYGUARD',\n",
    " 'android.permission.WRITE_SMS',\n",
    " 'android.permission.CHANGE_NETWORK_STATE',\n",
    " 'android.permission.RECEIVE_WAP_PUSH',\n",
    " 'android.permission.RECEIVE_USER_PRESENT',\n",
    " 'android.permission.MODIFY_AUDIO_SETTINGS',\n",
    " 'android.permission.READ_CONTACTS',\n",
    " 'android.permission.VIBRATE',\n",
    " 'android.permission.GET_ACCOUNTS',\n",
    " 'android.permission.CALL_PRIVILEGED',\n",
    " 'android.permission.WRITE_CONTACTS',\n",
    " 'android.permission.WRITE_SECURE_SETTINGS',\n",
    " 'android.permission.UPDATE_DEVICE_STATS',\n",
    " 'android.permission.DELETE_PACKAGES',\n",
    " 'android.permission.GET_PACKAGE_SIZE',\n",
    " 'android.permission.INSTALL_PACKAGES',\n",
    " 'android.permission.MANAGE_APP_TOKENS',\n",
    " 'android.permission.PERSISTENT_ACTIVITY',\n",
    " 'android.permission.BROADCAST_STICKY',\n",
    " 'android.permission.RESTART_PACKAGES',\n",
    " 'android.permission.READ_LOGS',\n",
    " 'android.permission.ACCESS_DOWNLOAD_MANAGER',\n",
    " 'android.permission.DOWNLOAD_WITHOUT_NOTIFICATION',\n",
    " 'android.permission.MANAGE_ACCOUNTS',\n",
    " 'android.permission.READ_EXTERNAL_STORAGE',\n",
    " 'android.permission.CAMERA',\n",
    " 'android.permission.ACCESS_MTK_MMHW',\n",
    " 'android.permission.KILL_BACKGROUND_PROCESSES',\n",
    " 'android.permission.ACCESS_SUPERUSER',\n",
    " 'android.permission.RECEIVE_MMS',\n",
    " 'android.permission.MODIFY_PHONE_STATE',\n",
    " 'android.permission.BLUETOOTH',\n",
    " 'android.permission.INTERACT_ACROSS_USERS_FULL',\n",
    " 'android.permission.READ_CALL_LOG',\n",
    " 'android.permission.RECORD_AUDIO',\n",
    " 'android.permission.WRITE_CALL_LOG',\n",
    " 'android.permission.REQUEST_IGNORE_BATTERY_OPTIMIZATIONS',\n",
    " 'android.permission.FLASHLIGHT',\n",
    " 'android.permission.RECEIVE_SENDTO',\n",
    " 'android.permission.BROADCAST_WAP_PUSH',\n",
    " 'android.permission.WRITE_APN_SETTINGS',\n",
    " 'android.permission.DEVICE_POWER',\n",
    " 'android.permission.BROADCAST_SMS',\n",
    " 'android.permission.BATTERY_STATS',\n",
    " 'android.permission.READ_CALENDAR',\n",
    " 'android.permission.CHANGE_CONFIGURATION',\n",
    " 'android.permission.PACKAGE_USAGE_STATS',\n",
    " 'android.permission.SET_WALLPAPER_HINTS',\n",
    " 'android.permission.SET_TIME_ZONE',\n",
    " 'android.permission.USE_CREDENTIALS',\n",
    " 'android.permission.AUTHENTICATE_ACCOUNTS',\n",
    " 'android.permission.WRITE_SYNC_SETTINGS',\n",
    " 'android.permission.REBOOT_IPO'] "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Análise das permissões solicitadas por cada aplicação\n",
    "\n",
    "Para saber a porcentagem e a relação entre cada permissão com a classificação, fiz um print dos resultados para cada uma das <i>android.permissions</i> para saber mais detalhes sobre as classes em questão. Com isso, é possível observar que algumas permissões são mútuas, isto é, aparecem com quase a mesma frequência em cada uma das classes. Outras delas, aparecem com mais frequência em aplicações classificadas como malwares. Diante dessa relação, é possível excluir algumas permissões mútuas para tentar melhorar o treinamento de um modelo preditivo. Os dados referentes a cada permissão podem ser conferidos a seguir:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                                            permissão   malware   trusted\n",
      "0                    android.permission.READ_SETTINGS  0.759804  0.240196\n",
      "1                   android.permission.WRITE_SETTINGS  0.732960  0.267040\n",
      "2             android.permission.ACCESS_NETWORK_STATE  0.491252  0.508748\n",
      "3           android.permission.WRITE_EXTERNAL_STORAGE  0.541546  0.458454\n",
      "4                         android.permission.INTERNET  0.501073  0.498927\n",
      "5                 android.permission.READ_PHONE_STATE  0.684312  0.315688\n",
      "6                         android.permission.READ_SMS  0.917888  0.082112\n",
      "7                         android.permission.SEND_SMS  0.927164  0.072836\n",
      "8                      android.permission.RECEIVE_SMS  0.920024  0.079976\n",
      "9                        android.permission.WAKE_LOCK  0.496733  0.503267\n",
      "10                      android.permission.CALL_PHONE  0.602928  0.397072\n",
      "11          android.permission.PROCESS_OUTGOING_CALLS  0.749800  0.250200\n",
      "12  android.permission.CHANGE_COMPONENT_ENABLED_STATE  0.553191  0.446809\n",
      "13          android.permission.RECEIVE_BOOT_COMPLETED  0.730927  0.269073\n",
      "14            android.permission.ACCESS_FINE_LOCATION  0.589695  0.410305\n",
      "15          android.permission.ACCESS_COARSE_LOCATION  0.587610  0.412390\n",
      "16  android.permission.ACCESS_LOCATION_EXTRA_COMMANDS  0.799704  0.200296\n",
      "17               android.permission.ACCESS_WIFI_STATE  0.589934  0.410066\n",
      "18                 android.permission.CLEAR_APP_CACHE  0.922492  0.077508\n",
      "19       android.permission.MOUNT_UNMOUNT_FILESYSTEMS  0.772438  0.227562\n",
      "20                       android.permission.GET_TASKS  0.747000  0.253000\n",
      "21               android.permission.CHANGE_WIFI_STATE  0.730775  0.269225\n",
      "22          android.permission.BAIDU_LOCATION_SERVICE  0.939724  0.060276\n",
      "23            android.permission.ACCESS_MOCK_LOCATION  0.913340  0.086660\n",
      "24                      android.permission.ACCESS_GPS  0.916343  0.083657\n",
      "25             android.permission.SYSTEM_ALERT_WINDOW  0.759419  0.240581\n",
      "26           android.permission.SYSTEM_OVERLAY_WINDOW  0.943600  0.056400\n",
      "27                android.permission.DISABLE_KEYGUARD  0.831130  0.168870\n",
      "28                       android.permission.WRITE_SMS  0.959570  0.040430\n",
      "29            android.permission.CHANGE_NETWORK_STATE  0.813497  0.186503\n",
      "30                android.permission.RECEIVE_WAP_PUSH  0.983333  0.016667\n",
      "31            android.permission.RECEIVE_USER_PRESENT  0.612182  0.387818\n",
      "32           android.permission.MODIFY_AUDIO_SETTINGS  0.344850  0.655150\n",
      "33                   android.permission.READ_CONTACTS  0.696096  0.303904\n",
      "34                         android.permission.VIBRATE  0.431701  0.568299\n",
      "35                    android.permission.GET_ACCOUNTS  0.355572  0.644428\n",
      "36                 android.permission.CALL_PRIVILEGED  0.892754  0.107246\n",
      "37                  android.permission.WRITE_CONTACTS  0.601438  0.398562\n",
      "38           android.permission.WRITE_SECURE_SETTINGS  0.793997  0.206003\n",
      "39             android.permission.UPDATE_DEVICE_STATS  0.839416  0.160584\n",
      "40                 android.permission.DELETE_PACKAGES  0.932870  0.067130\n",
      "41                android.permission.GET_PACKAGE_SIZE  0.831933  0.168067\n",
      "42                android.permission.INSTALL_PACKAGES  0.913208  0.086792\n",
      "43               android.permission.MANAGE_APP_TOKENS  0.794118  0.205882\n",
      "44             android.permission.PERSISTENT_ACTIVITY  0.770000  0.230000\n",
      "45                android.permission.BROADCAST_STICKY  0.670408  0.329592\n",
      "46                android.permission.RESTART_PACKAGES  0.765047  0.234953\n",
      "47                       android.permission.READ_LOGS  0.631915  0.368085\n",
      "48         android.permission.ACCESS_DOWNLOAD_MANAGER  0.785211  0.214789\n",
      "49   android.permission.DOWNLOAD_WITHOUT_NOTIFICATION  0.773481  0.226519\n",
      "50                 android.permission.MANAGE_ACCOUNTS  0.457678  0.542322\n",
      "51           android.permission.READ_EXTERNAL_STORAGE  0.423364  0.576636\n",
      "52                          android.permission.CAMERA  0.351619  0.648381\n",
      "53                 android.permission.ACCESS_MTK_MMHW  0.983974  0.016026\n",
      "54       android.permission.KILL_BACKGROUND_PROCESSES  0.818559  0.181441\n",
      "55                android.permission.ACCESS_SUPERUSER  0.868132  0.131868\n",
      "56                     android.permission.RECEIVE_MMS  0.968481  0.031519\n",
      "57              android.permission.MODIFY_PHONE_STATE  0.867284  0.132716\n",
      "58                       android.permission.BLUETOOTH  0.266960  0.733040\n",
      "59      android.permission.INTERACT_ACROSS_USERS_FULL  0.552716  0.447284\n",
      "60                   android.permission.READ_CALL_LOG  0.746341  0.253659\n",
      "61                    android.permission.RECORD_AUDIO  0.230615  0.769385\n",
      "62                  android.permission.WRITE_CALL_LOG  0.783542  0.216458\n",
      "63  android.permission.REQUEST_IGNORE_BATTERY_OPTI...  0.220339  0.779661\n",
      "64                      android.permission.FLASHLIGHT  0.357078  0.642922\n",
      "65                  android.permission.RECEIVE_SENDTO  1.000000  0.000000\n",
      "66              android.permission.BROADCAST_WAP_PUSH  0.992000  0.008000\n",
      "67              android.permission.WRITE_APN_SETTINGS  0.961225  0.038775\n",
      "68                    android.permission.DEVICE_POWER  0.922386  0.077614\n",
      "69                   android.permission.BROADCAST_SMS  0.970027  0.029973\n",
      "70                   android.permission.BATTERY_STATS  0.564460  0.435540\n",
      "71                   android.permission.READ_CALENDAR  0.354298  0.645702\n",
      "72            android.permission.CHANGE_CONFIGURATION  0.595705  0.404295\n",
      "73             android.permission.PACKAGE_USAGE_STATS  0.589569  0.410431\n",
      "74             android.permission.SET_WALLPAPER_HINTS  0.406716  0.593284\n",
      "75                   android.permission.SET_TIME_ZONE  0.776471  0.223529\n",
      "76                 android.permission.USE_CREDENTIALS  0.102900  0.897100\n",
      "77           android.permission.AUTHENTICATE_ACCOUNTS  0.285285  0.714715\n",
      "78             android.permission.WRITE_SYNC_SETTINGS  0.227477  0.772523\n",
      "79                      android.permission.REBOOT_IPO  0.333333  0.666667\n"
     ]
    }
   ],
   "source": [
    "def porcentagem(name):\n",
    "    malware = 0\n",
    "    trusted = 0\n",
    "    for x, y in zip(data.classification,\n",
    "                    data.permissions):\n",
    "        check = name in y\n",
    "        if check and x == 0:\n",
    "            malware = malware + 1\n",
    "        if check and x == 1:\n",
    "            trusted = trusted + 1\n",
    "            \n",
    "    total = malware + trusted\n",
    "    return [malware/total, trusted/total]\n",
    "\n",
    "\n",
    "analise = []\n",
    "for permissions in android_permissions_json:\n",
    "    x, y = porcentagem(permissions)\n",
    "    analise.append([permissions, x, y])\n",
    "\n",
    "dataFrame = pd.DataFrame(analise, columns = ['permissão', \n",
    "                                             'malware',\n",
    "                                             'trusted']) \n",
    "\n",
    "pd.set_option('display.max_rows', dataFrame.shape[0] + 1)\n",
    "print(dataFrame)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Eliminando permissões nulas e irrelevantes da base de dados\n",
    "\n",
    "Para filtar os dados e não dificultar o treinamento do modelo preditivo, removi as linhas consideradas nulas, ou seja, com <i>permission = []</i>. Além disso, fiz a restrição das permissões, selecionando as <i>android.permission</i> e removendo o restante."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "index = 0\n",
    "tables = []\n",
    "features = []\n",
    "android = 'android.permission.'\n",
    "for x, name_x in enumerate(data.permissions):\n",
    "    for y, name_y in enumerate(name_x):\n",
    "        if name_y in list(android_permissions_json):\n",
    "            features.append(name_y)\n",
    "            \n",
    "    # Deletar os valores nulos nas permissoes\n",
    "    if len(name_x) > 0:\n",
    "        tables.append([index, features, data.classification[x]])\n",
    "        index = index + 1\n",
    "        features = []\n",
    "    \n",
    "collections = pd.DataFrame(tables, columns = ['id', 'features','class']) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "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>id</th>\n",
       "      <th>features</th>\n",
       "      <th>class</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>[android.permission.READ_SETTINGS, android.per...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>[android.permission.READ_SETTINGS, android.per...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>[android.permission.READ_SETTINGS, android.per...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>[android.permission.SEND_SMS, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>[android.permission.ACCESS_NETWORK_STATE, andr...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>[android.permission.ACCESS_COARSE_LOCATION, an...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>[android.permission.BLUETOOTH, android.permiss...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>[android.permission.READ_PHONE_STATE, android....</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>[android.permission.GET_TASKS, android.permiss...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>[android.permission.READ_PHONE_STATE, android....</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>[android.permission.WRITE_EXTERNAL_STORAGE, an...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>[android.permission.READ_PHONE_STATE, android....</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>[android.permission.SEND_SMS, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>[android.permission.READ_SETTINGS, android.per...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>[android.permission.GET_ACCOUNTS, android.perm...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>[android.permission.WRITE_EXTERNAL_STORAGE, an...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>[android.permission.SEND_SMS, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>25</td>\n",
       "      <td>[android.permission.ACCESS_NETWORK_STATE, andr...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>26</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>27</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>28</td>\n",
       "      <td>[android.permission.RECEIVE_BOOT_COMPLETED, an...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>29</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>30</td>\n",
       "      <td>[android.permission.SEND_SMS, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>31</td>\n",
       "      <td>[android.permission.WRITE_EXTERNAL_STORAGE, an...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>32</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>33</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>34</td>\n",
       "      <td>[android.permission.ACCESS_MOCK_LOCATION, andr...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>35</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>36</td>\n",
       "      <td>[android.permission.READ_PHONE_STATE, android....</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>37</td>\n",
       "      <td>[android.permission.SET_WALLPAPER_HINTS, andro...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>38</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>39</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>40</td>\n",
       "      <td>[android.permission.ACCESS_NETWORK_STATE, andr...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>41</td>\n",
       "      <td>[android.permission.SYSTEM_ALERT_WINDOW, andro...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>42</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>43</td>\n",
       "      <td>[android.permission.READ_SETTINGS, android.per...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>44</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>45</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>46</td>\n",
       "      <td>[android.permission.SEND_SMS, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>47</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>48</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>49</td>\n",
       "      <td>[android.permission.INTERNET, android.permissi...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    id                                           features  class\n",
       "0    0  [android.permission.READ_SETTINGS, android.per...      0\n",
       "1    1  [android.permission.INTERNET, android.permissi...      0\n",
       "2    2  [android.permission.READ_SETTINGS, android.per...      0\n",
       "3    3  [android.permission.INTERNET, android.permissi...      0\n",
       "4    4  [android.permission.INTERNET, android.permissi...      0\n",
       "5    5  [android.permission.READ_SETTINGS, android.per...      0\n",
       "6    6  [android.permission.SEND_SMS, android.permissi...      0\n",
       "7    7  [android.permission.INTERNET, android.permissi...      0\n",
       "8    8  [android.permission.ACCESS_NETWORK_STATE, andr...      0\n",
       "9    9  [android.permission.INTERNET, android.permissi...      0\n",
       "10  10  [android.permission.ACCESS_COARSE_LOCATION, an...      0\n",
       "11  11  [android.permission.BLUETOOTH, android.permiss...      1\n",
       "12  12  [android.permission.READ_PHONE_STATE, android....      0\n",
       "13  13  [android.permission.INTERNET, android.permissi...      0\n",
       "14  14  [android.permission.INTERNET, android.permissi...      0\n",
       "15  15  [android.permission.GET_TASKS, android.permiss...      0\n",
       "16  16  [android.permission.READ_PHONE_STATE, android....      0\n",
       "17  17  [android.permission.WRITE_EXTERNAL_STORAGE, an...      0\n",
       "18  18  [android.permission.INTERNET, android.permissi...      0\n",
       "19  19  [android.permission.READ_PHONE_STATE, android....      0\n",
       "20  20  [android.permission.SEND_SMS, android.permissi...      0\n",
       "21  21  [android.permission.READ_SETTINGS, android.per...      0\n",
       "22  22  [android.permission.GET_ACCOUNTS, android.perm...      0\n",
       "23  23  [android.permission.WRITE_EXTERNAL_STORAGE, an...      0\n",
       "24  24  [android.permission.SEND_SMS, android.permissi...      0\n",
       "25  25  [android.permission.ACCESS_NETWORK_STATE, andr...      0\n",
       "26  26  [android.permission.INTERNET, android.permissi...      0\n",
       "27  27  [android.permission.INTERNET, android.permissi...      0\n",
       "28  28  [android.permission.RECEIVE_BOOT_COMPLETED, an...      0\n",
       "29  29  [android.permission.INTERNET, android.permissi...      0\n",
       "30  30  [android.permission.SEND_SMS, android.permissi...      0\n",
       "31  31  [android.permission.WRITE_EXTERNAL_STORAGE, an...      0\n",
       "32  32  [android.permission.INTERNET, android.permissi...      0\n",
       "33  33  [android.permission.INTERNET, android.permissi...      0\n",
       "34  34  [android.permission.ACCESS_MOCK_LOCATION, andr...      0\n",
       "35  35  [android.permission.INTERNET, android.permissi...      0\n",
       "36  36  [android.permission.READ_PHONE_STATE, android....      0\n",
       "37  37  [android.permission.SET_WALLPAPER_HINTS, andro...      0\n",
       "38  38  [android.permission.INTERNET, android.permissi...      0\n",
       "39  39  [android.permission.INTERNET, android.permissi...      0\n",
       "40  40  [android.permission.ACCESS_NETWORK_STATE, andr...      0\n",
       "41  41  [android.permission.SYSTEM_ALERT_WINDOW, andro...      0\n",
       "42  42  [android.permission.INTERNET, android.permissi...      0\n",
       "43  43  [android.permission.READ_SETTINGS, android.per...      0\n",
       "44  44  [android.permission.INTERNET, android.permissi...      0\n",
       "45  45  [android.permission.INTERNET, android.permissi...      1\n",
       "46  46  [android.permission.SEND_SMS, android.permissi...      0\n",
       "47  47  [android.permission.INTERNET, android.permissi...      0\n",
       "48  48  [android.permission.INTERNET, android.permissi...      0\n",
       "49  49  [android.permission.INTERNET, android.permissi...      0"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "collections.head(50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Categorizando as features de strings\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "for x, nx in enumerate(collections.features):\n",
    "    for y, ny in enumerate(nx):\n",
    "        if ny in android_permissions_json:\n",
    "            index = android_permissions_json.index(ny)\n",
    "            collections.features[x][y] = index\n",
    "        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>features</th>\n",
       "      <th>class</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>[0, 1, 2, 3, 4, 5, 6, 7, 8]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>[4, 7, 8, 3, 9, 5, 10, 11, 12, 13]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>[0, 1, 2, 3, 4, 5, 6, 7, 8]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>[4, 2, 14, 15, 16, 17, 13, 1, 9, 18, 19, 3, 20...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>[4, 6, 28, 7, 8, 30, 13, 31, 5, 32, 33, 20, 2,...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>[0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 9, 35]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>[7, 8]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>[4, 7, 8, 2, 5, 9, 3, 10, 36, 11, 37]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>[2, 29, 13, 25, 1, 38, 17, 39, 21, 3, 4, 5, 6,...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>[4, 5, 2, 3, 17, 15, 14, 13, 41, 19, 25, 20, 1...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>10</td>\n",
       "      <td>[15, 14, 4, 5, 2, 33, 6, 7, 8, 28, 56, 13, 11,...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>11</td>\n",
       "      <td>[58, 27, 21, 59, 14, 13, 3, 10, 1, 4, 17, 35, ...</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>12</td>\n",
       "      <td>[5, 7, 8, 4]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>13</td>\n",
       "      <td>[4, 21, 29, 5, 17, 15, 2, 7, 6, 8, 28, 9, 56, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>14</td>\n",
       "      <td>[4, 28, 6, 7, 8, 3, 9, 5, 51, 10, 11, 12]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>15</td>\n",
       "      <td>[20, 2, 5, 3, 19, 4, 49, 17, 13, 25, 54]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>16</td>\n",
       "      <td>[5, 8, 6, 7, 10, 60, 62, 20, 4, 2, 13, 1, 34, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>17</td>\n",
       "      <td>[3, 4, 5, 6, 7, 8, 9]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>18</td>\n",
       "      <td>[4, 3, 5, 2, 17, 20, 49, 21, 29, 19, 15, 34, 5...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>19</td>\n",
       "      <td>[5, 2, 7, 4]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>20</td>\n",
       "      <td>[7, 6, 8, 3, 51, 4]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>21</td>\n",
       "      <td>[0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 9, 35]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>22</td>\n",
       "      <td>[35, 4, 15, 14, 34, 9]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>23</td>\n",
       "      <td>[3, 13, 9, 5, 2, 4, 8, 7, 11, 20, 10, 36, 42]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>24</td>\n",
       "      <td>[7, 8, 6, 28, 5, 11, 10, 37, 33]</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    id                                           features  class\n",
       "0    0                        [0, 1, 2, 3, 4, 5, 6, 7, 8]      0\n",
       "1    1                 [4, 7, 8, 3, 9, 5, 10, 11, 12, 13]      0\n",
       "2    2                        [0, 1, 2, 3, 4, 5, 6, 7, 8]      0\n",
       "3    3  [4, 2, 14, 15, 16, 17, 13, 1, 9, 18, 19, 3, 20...      0\n",
       "4    4  [4, 6, 28, 7, 8, 30, 13, 31, 5, 32, 33, 20, 2,...      0\n",
       "5    5             [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 9, 35]      0\n",
       "6    6                                             [7, 8]      0\n",
       "7    7              [4, 7, 8, 2, 5, 9, 3, 10, 36, 11, 37]      0\n",
       "8    8  [2, 29, 13, 25, 1, 38, 17, 39, 21, 3, 4, 5, 6,...      0\n",
       "9    9  [4, 5, 2, 3, 17, 15, 14, 13, 41, 19, 25, 20, 1...      0\n",
       "10  10  [15, 14, 4, 5, 2, 33, 6, 7, 8, 28, 56, 13, 11,...      0\n",
       "11  11  [58, 27, 21, 59, 14, 13, 3, 10, 1, 4, 17, 35, ...      1\n",
       "12  12                                       [5, 7, 8, 4]      0\n",
       "13  13  [4, 21, 29, 5, 17, 15, 2, 7, 6, 8, 28, 9, 56, ...      0\n",
       "14  14          [4, 28, 6, 7, 8, 3, 9, 5, 51, 10, 11, 12]      0\n",
       "15  15           [20, 2, 5, 3, 19, 4, 49, 17, 13, 25, 54]      0\n",
       "16  16  [5, 8, 6, 7, 10, 60, 62, 20, 4, 2, 13, 1, 34, ...      0\n",
       "17  17                              [3, 4, 5, 6, 7, 8, 9]      0\n",
       "18  18  [4, 3, 5, 2, 17, 20, 49, 21, 29, 19, 15, 34, 5...      0\n",
       "19  19                                       [5, 2, 7, 4]      0\n",
       "20  20                                [7, 6, 8, 3, 51, 4]      0\n",
       "21  21             [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 9, 35]      0\n",
       "22  22                             [35, 4, 15, 14, 34, 9]      0\n",
       "23  23      [3, 13, 9, 5, 2, 4, 8, 7, 11, 20, 10, 36, 42]      0\n",
       "24  24                   [7, 8, 6, 28, 5, 11, 10, 37, 33]      0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "collections.head(25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Binarizando os <i>inputs</i>\n",
    "\n",
    "Para facilitar a manipulação dos dados, o vetor foi binarizado. Assim, se existe a solicitação de uma determinada permissão, então a coluna referente aquela permissão possui o valor 1, caso contrário, o valor 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\vitor\\Anaconda3\\lib\\site-packages\\ipykernel_launcher.py:7: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame\n",
      "\n",
      "See the caveats in the documentation: http://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  import sys\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>id</th>\n",
       "      <th>features</th>\n",
       "      <th>class</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>[0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>[1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>[0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>6</td>\n",
       "      <td>[0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>7</td>\n",
       "      <td>[0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>8</td>\n",
       "      <td>[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>9</td>\n",
       "      <td>[0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, ...</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   id                                           features  class\n",
       "0   0  [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ...      0\n",
       "1   1  [0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, ...      0\n",
       "2   2  [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, ...      0\n",
       "3   3  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, ...      0\n",
       "4   4  [0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, ...      0\n",
       "5   5  [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, ...      0\n",
       "6   6  [0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, ...      0\n",
       "7   7  [0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, ...      0\n",
       "8   8  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, ...      0\n",
       "9   9  [0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, ...      0"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for x, nx in enumerate(collections.features):\n",
    "    binary = [0 for i in range(len(android_permissions_json))]\n",
    "    for y, ny in enumerate(nx):\n",
    "        index = collections.features[x][y]\n",
    "        binary[index] = 1\n",
    "        \n",
    "    collections.features[x] = binary\n",
    "    \n",
    "collections.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Separando amostras (train=0.8, test=0.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Número de exemplos totais:  19600\n",
      "Número de colunas: 80\n"
     ]
    }
   ],
   "source": [
    "columns = list(collections.columns)\n",
    "X = collections[columns[1]]\n",
    "y = collections[columns[2]]\n",
    "\n",
    "X = X.values\n",
    "y = y.values\n",
    "    \n",
    "print('Número de exemplos totais: ', len(X))\n",
    "print('Número de colunas:', len(X[0]))\n",
    "\n",
    "matrix_X = [[0 for x in range(len(X[0]))] for y in range(len(X))] \n",
    "\n",
    "for i, name_i in enumerate(X):\n",
    "    for j, name_j in enumerate(name_i):\n",
    "        matrix_X[i][j] = name_j"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train, X_test, y_train, y_test = train_test_split(matrix_X, y, test_size=0.20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def machine_learning_algorithms(train_X, train_y):\n",
    "    vizinhos = 4\n",
    "    estimador = 100\n",
    "    \n",
    "    model_Random_Forest = RandomForestClassifier(n_estimators=estimador)\n",
    "    model_Random_Forest.fit( train_X , train_y)\n",
    "    \n",
    "    model_Arvore = ExtraTreesClassifier(n_estimators=estimador)\n",
    "    model_Arvore.fit(train_X , train_y)\n",
    "    \n",
    "    model_SVC = SVC()\n",
    "    model_SVC.fit(train_X , train_y)\n",
    "\n",
    "    model_GBC = GradientBoostingClassifier()\n",
    "    model_GBC.fit( train_X , train_y)\n",
    "    \n",
    "    model_KNN = KNeighborsClassifier(n_neighbors = 3)\n",
    "    model_KNN.fit( train_X , train_y)\n",
    "    \n",
    "\n",
    "    return [model_Random_Forest, \n",
    "            model_Arvore,\n",
    "            model_SVC,\n",
    "            model_GBC,\n",
    "            model_KNN]\n",
    "    \n",
    "\n",
    "np.random.seed(1000)\n",
    "algoritmos = machine_learning_algorithms(X_train, y_train)\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Resultado Final (Scores de treinamento e test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Modelo Preditivo  Train score  Test score\n",
      "0    Random Forest    98.571429   94.311224\n",
      "1      Arvore Dec.    98.571429   94.362245\n",
      "2              SVC    94.630102   93.826531\n",
      "3              GBC    92.971939   92.551020\n",
      "4        KNN (k=4)    96.109694   93.801020\n"
     ]
    }
   ],
   "source": [
    "scores_train = []\n",
    "scores_test = []\n",
    "classificadores = ['Random Forest', 'Arvore Dec.','SVC',\n",
    "                   'GBC','KNN (k=4)']\n",
    "resultados = []\n",
    "\n",
    "for idx in range(0, len(classificadores)):\n",
    "    score_train = algoritmos[idx].score(X_train, y_train) * 100\n",
    "    score_tests = algoritmos[idx].score(X_test, y_test) * 100\n",
    "    \n",
    "    resultados.append([classificadores[idx], score_train, score_tests])\n",
    "    \n",
    "\n",
    "dataFrame_Resultados = pd.DataFrame(resultados, columns = ['Modelo Preditivo', 'Train score', 'Test score'])\n",
    "print(dataFrame_Resultados)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Score')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = dataFrame_Resultados.plot.bar(x='Modelo Preditivo', y='Test score')\n",
    "ax.set_ylabel(\"Score\")"
   ]
  }
 ],
 "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": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}