DBSCAN.ipynb

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        "<a href=\"https://colab.research.google.com/github/VS-Lucas/Clustering/blob/main/DBSCAN.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "D69L4gRf8XgP"
      },
      "source": [
        "**Instalando bibliotecas:**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 19,
      "metadata": {
        "id": "A7D1N_jx8XFh"
      },
      "outputs": [],
      "source": [
        "import pandas as pd\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from sklearn.cluster import DBSCAN\n",
        "from sklearn.preprocessing import MinMaxScaler\n",
        "from sklearn import metrics\n",
        "from matplotlib.colors import ListedColormap"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "igWMQlYT89z3"
      },
      "source": [
        "**Fazendo a leitura da base de dados:**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 20,
      "metadata": {
        "id": "G-oSO7eo9C8o"
      },
      "outputs": [],
      "source": [
        "download_url = 'https://archive.ics.uci.edu/ml/machine-learning-databases/00292/Wholesale%20customers%20data.csv'\n",
        "df = pd.read_csv(download_url)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "utiPFRYE9Zj3"
      },
      "source": [
        "**Analisando dataset**"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 21,
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      "outputs": [
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            "text/plain": [
              "          Channel      Region          Fresh          Milk       Grocery  \\\n",
              "count  440.000000  440.000000     440.000000    440.000000    440.000000   \n",
              "mean     1.322727    2.543182   12000.297727   5796.265909   7951.277273   \n",
              "std      0.468052    0.774272   12647.328865   7380.377175   9503.162829   \n",
              "min      1.000000    1.000000       3.000000     55.000000      3.000000   \n",
              "25%      1.000000    2.000000    3127.750000   1533.000000   2153.000000   \n",
              "50%      1.000000    3.000000    8504.000000   3627.000000   4755.500000   \n",
              "75%      2.000000    3.000000   16933.750000   7190.250000  10655.750000   \n",
              "max      2.000000    3.000000  112151.000000  73498.000000  92780.000000   \n",
              "\n",
              "             Frozen  Detergents_Paper    Delicassen  \n",
              "count    440.000000        440.000000    440.000000  \n",
              "mean    3071.931818       2881.493182   1524.870455  \n",
              "std     4854.673333       4767.854448   2820.105937  \n",
              "min       25.000000          3.000000      3.000000  \n",
              "25%      742.250000        256.750000    408.250000  \n",
              "50%     1526.000000        816.500000    965.500000  \n",
              "75%     3554.250000       3922.000000   1820.250000  \n",
              "max    60869.000000      40827.000000  47943.000000  "
            ],
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              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>Channel</th>\n",
              "      <th>Region</th>\n",
              "      <th>Fresh</th>\n",
              "      <th>Milk</th>\n",
              "      <th>Grocery</th>\n",
              "      <th>Frozen</th>\n",
              "      <th>Detergents_Paper</th>\n",
              "      <th>Delicassen</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "      <td>440.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>1.322727</td>\n",
              "      <td>2.543182</td>\n",
              "      <td>12000.297727</td>\n",
              "      <td>5796.265909</td>\n",
              "      <td>7951.277273</td>\n",
              "      <td>3071.931818</td>\n",
              "      <td>2881.493182</td>\n",
              "      <td>1524.870455</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>0.468052</td>\n",
              "      <td>0.774272</td>\n",
              "      <td>12647.328865</td>\n",
              "      <td>7380.377175</td>\n",
              "      <td>9503.162829</td>\n",
              "      <td>4854.673333</td>\n",
              "      <td>4767.854448</td>\n",
              "      <td>2820.105937</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>55.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>25.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>3.000000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>2.000000</td>\n",
              "      <td>3127.750000</td>\n",
              "      <td>1533.000000</td>\n",
              "      <td>2153.000000</td>\n",
              "      <td>742.250000</td>\n",
              "      <td>256.750000</td>\n",
              "      <td>408.250000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>8504.000000</td>\n",
              "      <td>3627.000000</td>\n",
              "      <td>4755.500000</td>\n",
              "      <td>1526.000000</td>\n",
              "      <td>816.500000</td>\n",
              "      <td>965.500000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>2.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>16933.750000</td>\n",
              "      <td>7190.250000</td>\n",
              "      <td>10655.750000</td>\n",
              "      <td>3554.250000</td>\n",
              "      <td>3922.000000</td>\n",
              "      <td>1820.250000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>2.000000</td>\n",
              "      <td>3.000000</td>\n",
              "      <td>112151.000000</td>\n",
              "      <td>73498.000000</td>\n",
              "      <td>92780.000000</td>\n",
              "      <td>60869.000000</td>\n",
              "      <td>40827.000000</td>\n",
              "      <td>47943.000000</td>\n",
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          },
          "metadata": {},
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        }
      ],
      "source": [
        "df.describe(include = \"all\")"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "# **Normalizando os dados e criando o modelo:**"
      ],
      "metadata": {
        "id": "3iov4IJtVuff"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "class BuildModel:\n",
        "  def __init__(self, df):\n",
        "    self.df = df\n",
        "\n",
        "  def get_features(self, data):\n",
        "    return data.iloc[:, 3:5]\n",
        "    \n",
        "  def normalize(self):\n",
        "    data = self.df.values\n",
        "    scaler = MinMaxScaler()\n",
        "    normalized_data = scaler.fit_transform(data)\n",
        "\n",
        "    return pd.DataFrame(normalized_data)\n",
        "\n",
        "\n",
        "dbscan = BuildModel(df)\n",
        "normalized_data = dbscan.normalize()\n",
        "features = dbscan.get_features(data=normalized_data)"
      ],
      "metadata": {
        "id": "bMKQ5XIiEbur"
      },
      "execution_count": 22,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "# Gerando o plot e criando os clusters\n",
        "\n",
        "O algoritmo começa escolhendo um ponto aleatório e, em seguida, expande a partir desse ponto, adicionando pontos que estão a uma distância menor que um valor de epsilon. O algoritmo então encontra todos os pontos dentro da vizinhança de epsilon e expande o cluster, repetindo o processo até que não haja mais pontos dentro da vizinhança de epsilon. Se um ponto não puder ser adicionado a um cluster existente, ele será marcado como ruído. O DBSCAN é capaz de encontrar clusters com formas arbitrárias e é resistente a ruído.\n",
        "\n",
        "De posse dessa informações e depois de analisar os dados percebemos que o epsilon precisa ser definido sendo < 0.5 para que seja classificado clusters com mais precisão visto que os dados estão muito agrupado.\n",
        "\n",
        "**Definindo o epsilon em 0.1 e incrementando em 0.1 percebe-se que 0.2 é um boa distância para determinar os clusters**"
      ],
      "metadata": {
        "id": "ms22zlrIqPaF"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "def generate_plot(_data, _labels):\n",
        "  fig, ax = plt.subplots()\n",
        "\n",
        "  ax.scatter(_data[3], _data[4], c=_labels, cmap=\"winter\")\n",
        "\n",
        "  plt.show()\n",
        "\n",
        "  return\n",
        "dist = 0.1\n",
        "for clusters in range(1, 5):\n",
        "  print('*'*100)\n",
        "  clustering = DBSCAN(eps=dist, min_samples=10).fit(features)\n",
        "  cluster_labels = clustering.fit_predict(features)\n",
        "  \n",
        "  generate_plot(_data=features, _labels=cluster_labels) \n",
        "  print(f'EPSILON = {dist}')\n",
        "  print('*'*100)\n",
        "  dist += 0.1"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "gbc9vKxqHlkg",
        "outputId": "2b0d04af-7fe4-466b-f718-98f9561df073"
      },
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "****************************************************************************************************\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "EPSILON = 0.1\n",
            "****************************************************************************************************\n",
            "****************************************************************************************************\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "EPSILON = 0.2\n",
            "****************************************************************************************************\n",
            "****************************************************************************************************\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "EPSILON = 0.30000000000000004\n",
            "****************************************************************************************************\n",
            "****************************************************************************************************\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x550 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "EPSILON = 0.4\n",
            "****************************************************************************************************\n"
          ]
        }
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyM1yBYu6vaVcHKL5UUImX52",
      "include_colab_link": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}