tsathis/clustering_and_association_rule_mining.ipynb

## clustering_and_association_rule_mining.ipynb
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  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "lab3.ipynb",
      "version": "0.3.2",
      "provenance": [],
      "collapsed_sections": [],
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/gist/tharindusathis/b47658efc9fa4396aa8e2f4d7c3e8737/lab3.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cT_p34GwyFlX",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "%matplotlib inline\n",
        "from copy import deepcopy\n",
        "import numpy as np\n",
        "import pandas as pd\n",
        "from matplotlib import pyplot as plt\n",
        "plt.rcParams['figure.figsize'] = (16,9)\n",
        "plt.style.use('ggplot')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JWsS5OnIuL4y",
        "colab_type": "code",
        "outputId": "f1d022b8-01db-46ff-a175-3451554a6377",
        "colab": {
          "resources": {
            "http://localhost:8080/nbextensions/google.colab/files.js": {
              "data": 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              "ok": true,
              "headers": [
                [
                  "content-type",
                  "application/javascript"
                ]
              ],
              "status": 200,
              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 75
        }
      },
      "source": [
        "import pandas as pd\n",
        "\n",
        "from google.colab import files\n",
        "uploaded = files.upload()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-c24765e2-a496-4299-a3a9-f2fe221c1d5f\" name=\"files[]\" multiple disabled />\n",
              "     <output id=\"result-c24765e2-a496-4299-a3a9-f2fe221c1d5f\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving xclara.csv to xclara.csv\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YhkvOKwqxm55",
        "colab_type": "code",
        "outputId": "af070893-da23-405c-f488-38bdaaa5232e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 198
        }
      },
      "source": [
        "import io\n",
        "data = pd.read_csv(io.BytesIO(uploaded['xclara.csv']))\n",
        "data.head()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>V1</th>\n",
              "      <th>V2</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>2.072345</td>\n",
              "      <td>-3.241693</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>17.936710</td>\n",
              "      <td>15.784810</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>1.083576</td>\n",
              "      <td>7.319176</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>11.120670</td>\n",
              "      <td>14.406780</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>23.711550</td>\n",
              "      <td>2.557729</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "          V1         V2\n",
              "0   2.072345  -3.241693\n",
              "1  17.936710  15.784810\n",
              "2   1.083576   7.319176\n",
              "3  11.120670  14.406780\n",
              "4  23.711550   2.557729"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yLtK187hyv2L",
        "colab_type": "code",
        "outputId": "2fe140e0-61fe-43e6-95e5-f6778f685544",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "data.shape"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(3000, 2)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sWHvHVg7yASH",
        "colab_type": "code",
        "outputId": "9320aad9-41bd-450f-c005-e6833722ed5d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 559
        }
      },
      "source": [
        "f1 = data['V1'].values\n",
        "f2 = data['V2'].values\n",
        "X = np.array(list(zip(f1,f2)))\n",
        "plt.scatter (f1, f2, c='black', s=7)\n"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f50039bbbe0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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JROT8RZ9ZMR+xFi0tLejr65PjPH/+fIERl8AqYJ2yD0S0Woj81dVVLCwsyIyD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lv0+L777rsYGxszrvPqq682rHm9Xsf169eh6zo2NjaMa7JQX03TMDIyYmxSWNV1FX8Xc3Nzhpf8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\n9aQeY4cbLwFVaRxZQAYFG8tV1wW84+a5f/9+Hl8JWJeEYddsl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C+awWOHhHJjIKFKEARB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\nXSV3S5W5cR0AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y847FdtCzWET",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def dist(a,b, ax = 1):\n",
        "  return np.linalg.norm(a - b, axis = ax)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X0zp0A6QzleP",
        "colab_type": "code",
        "outputId": "6eaa0622-977d-4c66-8d94-dee1359efe98",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 69
        }
      },
      "source": [
        "k = 3 \n",
        "C_x = np.random.randint(0, np.max(X)-20, size = k)\n",
        "C_y = np.random.randint(0, np.max(X)-20, size = k)\n",
        "C = np.array(list(zip(C_x, C_y)), dtype=np.float32)\n",
        "print(C)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[[81. 34.]\n",
            " [24. 65.]\n",
            " [50. 53.]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7mcAnml1z4i6",
        "colab_type": "code",
        "outputId": "b4a94d3c-98d6-41db-84ea-f16fdf5d0918",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 559
        }
      },
      "source": [
        "plt.scatter(f1,f2, c='#050505', s=7)\n",
        "plt.scatter(C_x,C_y, marker='*', c='g', s=200)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f5003767a90>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AvffeCwBoaGjIaQHT1NSE9vZ2wz6bxfLY2Jicv+gzK+Yj1qK5uRn79u2T4xwe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vhQmTvzRx99hMcee8wQjJFIBABK4lPNxsCXmFlYWICiKMZaLi0tGdly2edlWXgXFxeNLLxtbW3Q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\nKeV/igX55SMqcBgAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3Rk9O4N70wOe",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "C_old = np.zeros(C.shape)\n",
        "clusters = np.zeros(len(X))\n",
        "error = dist(C, C_old, None)\n",
        "\n",
        "while error != 0:\n",
        "  for i in range(len(X)):\n",
        "    distances = dist(X[i], C) \n",
        "    cluster = np.argmin(distances)\n",
        "    clusters[i] = cluster\n",
        "  C_old = deepcopy(C)\n",
        "  \n",
        "  \n",
        "  for i in range(k):\n",
        "    points = [X[j] for j in range(len(X)) if clusters[j] == i]\n",
        "    C[i] = np.mean(points, axis=0)\n",
        "  error = dist(C, C_old, None)\n",
        " "
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V1POPgIy1Tv3",
        "colab_type": "code",
        "outputId": "f68ec73e-a487-4df2-b516-dc2f342cee61",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 559
        }
      },
      "source": [
        "colors = ['r','g','b','y','c','m']\n",
        "fig, ax = plt.subplots()\n",
        "for i in range(k):\n",
        "  points = np.array([X[j] for j in range(len(X)) if clusters[j] == i])\n",
        "  ax.scatter(points[:, 0], points[:, 1], s = 7, c=colors[i])\n",
        "ax.scatter(C[:, 0], C[:,1], marker='*', s = 200, c = '#050505')"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.collections.PathCollection at 0x7f500369c1d0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 47
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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CT25ys9nmuuCqx/aLdDaSbhj0QYEq+ryiaZXmXOv4qhnyGAZw/nwGo6ODuHMn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\nBrQCWKLA1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6wItV2Std6XjDEtV/PcTEUfT6AyLxRARWuWbCGLuYNzuqi1o5bzJA77ZoEE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\nAADgKgRVAAAAAICrEFQBAAAAAK7yf0zlHywvLwjhAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1152x648 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JVXgEbu-5Dvy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import pandas as pd \n",
        "from mlxtend.frequent_patterns import apriori\n",
        "from mlxtend.frequent_patterns import association_rules"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IbSTXUdq5Vec",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "df = pd.read_excel('http://archive.ics.uci.edu/ml/machine-learning-databases/00352/Online%20Retail.xlsx')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aFAWNkGa53m8",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "outputId": "1bc979d0-3237-45fc-f930-fb9992ec65f3"
      },
      "source": [
        "df.head()"
      ],
      "execution_count": 51,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>InvoiceNo</th>\n",
              "      <th>StockCode</th>\n",
              "      <th>Description</th>\n",
              "      <th>Quantity</th>\n",
              "      <th>InvoiceDate</th>\n",
              "      <th>UnitPrice</th>\n",
              "      <th>CustomerID</th>\n",
              "      <th>Country</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>536365</td>\n",
              "      <td>85123A</td>\n",
              "      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>2.55</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>536365</td>\n",
              "      <td>71053</td>\n",
              "      <td>WHITE METAL LANTERN</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>536365</td>\n",
              "      <td>84406B</td>\n",
              "      <td>CREAM CUPID HEARTS COAT HANGER</td>\n",
              "      <td>8</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>2.75</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>536365</td>\n",
              "      <td>84029G</td>\n",
              "      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>536365</td>\n",
              "      <td>84029E</td>\n",
              "      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "  InvoiceNo StockCode  ... CustomerID         Country\n",
              "0    536365    85123A  ...    17850.0  United Kingdom\n",
              "1    536365     71053  ...    17850.0  United Kingdom\n",
              "2    536365    84406B  ...    17850.0  United Kingdom\n",
              "3    536365    84029G  ...    17850.0  United Kingdom\n",
              "4    536365    84029E  ...    17850.0  United Kingdom\n",
              "\n",
              "[5 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 51
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kqY7I9gy6G-J",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "f104f9ed-4d54-4130-e8c2-d7eacd60521f"
      },
      "source": [
        "df.shape"
      ],
      "execution_count": 52,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(541909, 8)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 52
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LTON5c1p6Lme",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "outputId": "fc40d66f-32fa-4c81-a5db-f347175a027b"
      },
      "source": [
        "df['Description'] = df['Description'].str.strip()\n",
        "df.dropna(axis=0, subset=['InvoiceNo'], inplace= True)\n",
        "df['InvoiceNo'] = df['InvoiceNo'].astype('str')\n",
        "df = df[~df['InvoiceNo'].str.contains('C')]\n",
        "df.head()"
      ],
      "execution_count": 54,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>InvoiceNo</th>\n",
              "      <th>StockCode</th>\n",
              "      <th>Description</th>\n",
              "      <th>Quantity</th>\n",
              "      <th>InvoiceDate</th>\n",
              "      <th>UnitPrice</th>\n",
              "      <th>CustomerID</th>\n",
              "      <th>Country</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>536365</td>\n",
              "      <td>85123A</td>\n",
              "      <td>WHITE HANGING HEART T-LIGHT HOLDER</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>2.55</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>536365</td>\n",
              "      <td>71053</td>\n",
              "      <td>WHITE METAL LANTERN</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>536365</td>\n",
              "      <td>84406B</td>\n",
              "      <td>CREAM CUPID HEARTS COAT HANGER</td>\n",
              "      <td>8</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>2.75</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>536365</td>\n",
              "      <td>84029G</td>\n",
              "      <td>KNITTED UNION FLAG HOT WATER BOTTLE</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>536365</td>\n",
              "      <td>84029E</td>\n",
              "      <td>RED WOOLLY HOTTIE WHITE HEART.</td>\n",
              "      <td>6</td>\n",
              "      <td>2010-12-01 08:26:00</td>\n",
              "      <td>3.39</td>\n",
              "      <td>17850.0</td>\n",
              "      <td>United Kingdom</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "  InvoiceNo StockCode  ... CustomerID         Country\n",
              "0    536365    85123A  ...    17850.0  United Kingdom\n",
              "1    536365     71053  ...    17850.0  United Kingdom\n",
              "2    536365    84406B  ...    17850.0  United Kingdom\n",
              "3    536365    84029G  ...    17850.0  United Kingdom\n",
              "4    536365    84029E  ...    17850.0  United Kingdom\n",
              "\n",
              "[5 rows x 8 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 54
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EjGdX96Q69ia",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "16b5a970-b35d-4cab-f45c-c7e217a7d3a3"
      },
      "source": [
        "df.shape"
      ],
      "execution_count": 55,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(532621, 8)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 55
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Rd0li9I17AcI",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 374
        },
        "outputId": "e08c6910-3e84-4151-8ede-45efaddd17f7"
      },
      "source": [
        "basket = (df[df['Country'] == \"France\"]).groupby(['InvoiceNo','Description'])['Quantity'].sum().unstack().reset_index().fillna(0).set_index('InvoiceNo')\n",
        "basket.head()"
      ],
      "execution_count": 58,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th>Description</th>\n",
              "      <th>10 COLOUR SPACEBOY PEN</th>\n",
              "      <th>12 COLOURED PARTY BALLOONS</th>\n",
              "      <th>12 EGG HOUSE PAINTED WOOD</th>\n",
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              "      <th>18PC WOODEN CUTLERY SET DISPOSABLE</th>\n",
              "      <th>20 DOLLY PEGS RETROSPOT</th>\n",
              "      <th>200 RED + WHITE BENDY STRAWS</th>\n",
              "      <th>3 HOOK HANGER MAGIC GARDEN</th>\n",
              "      <th>3 PIECE SPACEBOY COOKIE CUTTER SET</th>\n",
              "      <th>3 RAFFIA RIBBONS 50'S CHRISTMAS</th>\n",
              "      <th>3 STRIPEY MICE FELTCRAFT</th>\n",
              "      <th>3 TIER CAKE TIN RED AND CREAM</th>\n",
              "      <th>3 TRADITIONAl BISCUIT CUTTERS  SET</th>\n",
              "      <th>36 DOILIES DOLLY GIRL</th>\n",
              "      <th>36 DOILIES VINTAGE CHRISTMAS</th>\n",
              "      <th>36 FOIL HEART CAKE CASES</th>\n",
              "      <th>36 FOIL STAR CAKE CASES</th>\n",
              "      <th>36 PENCILS TUBE RED RETROSPOT</th>\n",
              "      <th>36 PENCILS TUBE SKULLS</th>\n",
              "      <th>36 PENCILS TUBE WOODLAND</th>\n",
              "      <th>3D DOG PICTURE PLAYING CARDS</th>\n",
              "      <th>3D HEARTS  HONEYCOMB PAPER GARLAND</th>\n",
              "      <th>3D SHEET OF DOG STICKERS</th>\n",
              "      <th>3D TRADITIONAL CHRISTMAS STICKERS</th>\n",
              "      <th>3D VINTAGE CHRISTMAS STICKERS</th>\n",
              "      <th>4 IVORY DINNER CANDLES SILVER FLOCK</th>\n",
              "      <th>4 PINK DINNER CANDLE SILVER FLOCK</th>\n",
              "      <th>4 TRADITIONAL SPINNING TOPS</th>\n",
              "      <th>5 HOOK HANGER MAGIC TOADSTOOL</th>\n",
              "      <th>5 HOOK HANGER RED MAGIC TOADSTOOL</th>\n",
              "      <th>50'S CHRISTMAS GIFT BAG LARGE</th>\n",
              "      <th>6 GIFT TAGS 50'S CHRISTMAS</th>\n",
              "      <th>...</th>\n",
              "      <th>WOODLAND DESIGN  COTTON TOTE BAG</th>\n",
              "      <th>WOODLAND LARGE BLUE FELT HEART</th>\n",
              "      <th>WOODLAND LARGE PINK FELT HEART</th>\n",
              "      <th>WOODLAND LARGE RED FELT HEART</th>\n",
              "      <th>WOODLAND MINI BACKPACK</th>\n",
              "      <th>WOODLAND PARTY BAG + STICKER SET</th>\n",
              "      <th>WOODLAND SMALL BLUE FELT HEART</th>\n",
              "      <th>WOODLAND SMALL PINK FELT HEART</th>\n",
              "      <th>WOODLAND SMALL RED FELT HEART</th>\n",
              "      <th>WOODLAND STORAGE BOX LARGE</th>\n",
              "      <th>WOODLAND STORAGE BOX SMALL</th>\n",
              "      <th>WORLD WAR 2 GLIDERS ASSTD DESIGNS</th>\n",
              "      <th>WRAP  VINTAGE DOILY</th>\n",
              "      <th>WRAP 50'S  CHRISTMAS</th>\n",
              "      <th>WRAP ALPHABET DESIGN</th>\n",
              "      <th>WRAP CAROUSEL</th>\n",
              "      <th>WRAP CHRISTMAS VILLAGE</th>\n",
              "      <th>WRAP CIRCUS PARADE</th>\n",
              "      <th>WRAP DOILEY DESIGN</th>\n",
              "      <th>WRAP DOLLY GIRL</th>\n",
              "      <th>WRAP ENGLISH ROSE</th>\n",
              "      <th>WRAP GINGHAM ROSE</th>\n",
              "      <th>WRAP GREEN PEARS</th>\n",
              "      <th>WRAP I LOVE LONDON</th>\n",
              "      <th>WRAP PAISLEY PARK</th>\n",
              "      <th>WRAP PINK FAIRY CAKES</th>\n",
              "      <th>WRAP POPPIES  DESIGN</th>\n",
              "      <th>WRAP RED APPLES</th>\n",
              "      <th>WRAP RED VINTAGE DOILY</th>\n",
              "      <th>WRAP SUKI AND FRIENDS</th>\n",
              "      <th>WRAP VINTAGE PETALS  DESIGN</th>\n",
              "      <th>YELLOW COAT RACK PARIS FASHION</th>\n",
              "      <th>YELLOW GIANT GARDEN THERMOMETER</th>\n",
              "      <th>YELLOW SHARK HELICOPTER</th>\n",
              "      <th>ZINC  STAR T-LIGHT HOLDER</th>\n",
              "      <th>ZINC FOLKART SLEIGH BELLS</th>\n",
              "      <th>ZINC HERB GARDEN CONTAINER</th>\n",
              "      <th>ZINC METAL HEART DECORATION</th>\n",
              "      <th>ZINC T-LIGHT HOLDER STAR LARGE</th>\n",
              "      <th>ZINC T-LIGHT HOLDER STARS SMALL</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>InvoiceNo</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
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              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
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              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>537065</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>12.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>...</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>537463</th>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>...</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "      <td>0.0</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>5 rows × 1563 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "Description  10 COLOUR SPACEBOY PEN  ...  ZINC T-LIGHT HOLDER STARS SMALL\n",
              "InvoiceNo                            ...                                 \n",
              "536370                          0.0  ...                              0.0\n",
              "536852                          0.0  ...                              0.0\n",
              "536974                          0.0  ...                              0.0\n",
              "537065                          0.0  ...                              0.0\n",
              "537463                          0.0  ...                              0.0\n",
              "\n",
              "[5 rows x 1563 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 58
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "A_ckZh757ugP",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "c202e64d-a05b-4c84-9e8e-6ed00770f9e2"
      },
      "source": [
        "basket.shape"
      ],
      "execution_count": 59,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(392, 1563)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 59
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AZ4TDz-i73PD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def encode_units(x):\n",
        "  if x <= 0:\n",
        "    return 0\n",
        "  if x >= 1:\n",
        "    return 1"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZphVVxIE8FMu",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "5b8ded32-eb24-4bd4-acff-99d11c56b8e2"
      },
      "source": [
        "basket_sets = basket.applymap(encode_units)\n",
        "basket_sets.drop('POSTAGE', inplace=True, axis=1)\n",
        "basket_sets.shape"
      ],
      "execution_count": 62,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(392, 1562)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 62
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "w1G6wJ1I8lRl",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "frequent_itemsets = apriori(basket_sets, min_support=0.07, use_colnames=True)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uXJyQKNN8xvi",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "d33408aa-9294-497b-fb94-72b153a6022c"
      },
      "source": [
        "frequent_itemsets"
      ],
      "execution_count": 66,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>support</th>\n",
              "      <th>itemsets</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>0.071429</td>\n",
              "      <td>(4 TRADITIONAL SPINNING TOPS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>0.096939</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>0.102041</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE PINK)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>0.094388</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>0.081633</td>\n",
              "      <td>(BAKING SET 9 PIECE RETROSPOT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>0.071429</td>\n",
              "      <td>(CHILDRENS CUTLERY DOLLY GIRL)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>0.099490</td>\n",
              "      <td>(DOLLY GIRL LUNCH BOX)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>0.096939</td>\n",
              "      <td>(JUMBO BAG RED RETROSPOT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>8</th>\n",
              "      <td>0.076531</td>\n",
              "      <td>(JUMBO BAG WOODLAND ANIMALS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>9</th>\n",
              "      <td>0.125000</td>\n",
              "      <td>(LUNCH BAG APPLE DESIGN)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>10</th>\n",
              "      <td>0.084184</td>\n",
              "      <td>(LUNCH BAG DOLLY GIRL DESIGN)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>11</th>\n",
              "      <td>0.153061</td>\n",
              "      <td>(LUNCH BAG RED RETROSPOT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>12</th>\n",
              "      <td>0.119898</td>\n",
              "      <td>(LUNCH BAG SPACEBOY DESIGN)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>13</th>\n",
              "      <td>0.117347</td>\n",
              "      <td>(LUNCH BAG WOODLAND)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>14</th>\n",
              "      <td>0.142857</td>\n",
              "      <td>(LUNCH BOX WITH CUTLERY RETROSPOT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>15</th>\n",
              "      <td>0.104592</td>\n",
              "      <td>(MINI PAINT SET VINTAGE)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>0.102041</td>\n",
              "      <td>(PACK OF 72 RETROSPOT CAKE CASES)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>17</th>\n",
              "      <td>0.081633</td>\n",
              "      <td>(PAPER BUNTING RETROSPOT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>18</th>\n",
              "      <td>0.168367</td>\n",
              "      <td>(PLASTERS IN TIN CIRCUS PARADE)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>19</th>\n",
              "      <td>0.137755</td>\n",
              "      <td>(PLASTERS IN TIN SPACEBOY)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>0.081633</td>\n",
              "      <td>(PLASTERS IN TIN STRONGMAN)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>0.170918</td>\n",
              "      <td>(PLASTERS IN TIN WOODLAND ANIMALS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>22</th>\n",
              "      <td>0.188776</td>\n",
              "      <td>(RABBIT NIGHT LIGHT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>23</th>\n",
              "      <td>0.096939</td>\n",
              "      <td>(RED RETROSPOT CHARLOTTE BAG)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>24</th>\n",
              "      <td>0.137755</td>\n",
              "      <td>(RED RETROSPOT MINI CASES)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25</th>\n",
              "      <td>0.071429</td>\n",
              "      <td>(RED RETROSPOT PICNIC BAG)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>26</th>\n",
              "      <td>0.181122</td>\n",
              "      <td>(RED TOADSTOOL LED NIGHT LIGHT)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>27</th>\n",
              "      <td>0.125000</td>\n",
              "      <td>(REGENCY CAKESTAND 3 TIER)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>28</th>\n",
              "      <td>0.086735</td>\n",
              "      <td>(RETROSPOT TEA SET CERAMIC 11 PC)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>29</th>\n",
              "      <td>0.107143</td>\n",
              "      <td>(ROUND SNACK BOXES SET OF 4 FRUITS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>30</th>\n",
              "      <td>0.158163</td>\n",
              "      <td>(ROUND SNACK BOXES SET OF4 WOODLAND)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>31</th>\n",
              "      <td>0.076531</td>\n",
              "      <td>(SET/10 RED POLKADOT PARTY CANDLES)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>32</th>\n",
              "      <td>0.132653</td>\n",
              "      <td>(SET/20 RED RETROSPOT PAPER NAPKINS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>33</th>\n",
              "      <td>0.137755</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER CUPS)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>34</th>\n",
              "      <td>0.127551</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>35</th>\n",
              "      <td>0.071429</td>\n",
              "      <td>(SPACEBOY BIRTHDAY CARD)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>36</th>\n",
              "      <td>0.125000</td>\n",
              "      <td>(SPACEBOY LUNCH BOX)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>37</th>\n",
              "      <td>0.122449</td>\n",
              "      <td>(STRAWBERRY LUNCH BOX WITH CUTLERY)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>38</th>\n",
              "      <td>0.094388</td>\n",
              "      <td>(TEA PARTY BIRTHDAY CARD)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>39</th>\n",
              "      <td>0.073980</td>\n",
              "      <td>(WOODLAND CHARLOTTE BAG)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>40</th>\n",
              "      <td>0.073980</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN, ALARM CLOCK BAKEL...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>41</th>\n",
              "      <td>0.079082</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN, ALARM CLOCK BAKEL...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>42</th>\n",
              "      <td>0.073980</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE PINK, ALARM CLOCK BAKELI...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>43</th>\n",
              "      <td>0.071429</td>\n",
              "      <td>(SPACEBOY LUNCH BOX, DOLLY GIRL LUNCH BOX)</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>0.089286</td>\n",
              "      <td>(PLASTERS IN TIN SPACEBOY, PLASTERS IN TIN CIR...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>45</th>\n",
              "      <td>0.102041</td>\n",
              "      <td>(PLASTERS IN TIN WOODLAND ANIMALS, PLASTERS IN...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>46</th>\n",
              "      <td>0.104592</td>\n",
              "      <td>(PLASTERS IN TIN WOODLAND ANIMALS, PLASTERS IN...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>47</th>\n",
              "      <td>0.102041</td>\n",
              "      <td>(SET/20 RED RETROSPOT PAPER NAPKINS, SET/6 RED...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>48</th>\n",
              "      <td>0.102041</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>49</th>\n",
              "      <td>0.122449</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES, SET/6 RED SPOT...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50</th>\n",
              "      <td>0.099490</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET...</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     support                                           itemsets\n",
              "0   0.071429                      (4 TRADITIONAL SPINNING TOPS)\n",
              "1   0.096939                       (ALARM CLOCK BAKELIKE GREEN)\n",
              "2   0.102041                        (ALARM CLOCK BAKELIKE PINK)\n",
              "3   0.094388                         (ALARM CLOCK BAKELIKE RED)\n",
              "4   0.081633                     (BAKING SET 9 PIECE RETROSPOT)\n",
              "5   0.071429                     (CHILDRENS CUTLERY DOLLY GIRL)\n",
              "6   0.099490                             (DOLLY GIRL LUNCH BOX)\n",
              "7   0.096939                          (JUMBO BAG RED RETROSPOT)\n",
              "8   0.076531                       (JUMBO BAG WOODLAND ANIMALS)\n",
              "9   0.125000                           (LUNCH BAG APPLE DESIGN)\n",
              "10  0.084184                      (LUNCH BAG DOLLY GIRL DESIGN)\n",
              "11  0.153061                          (LUNCH BAG RED RETROSPOT)\n",
              "12  0.119898                        (LUNCH BAG SPACEBOY DESIGN)\n",
              "13  0.117347                               (LUNCH BAG WOODLAND)\n",
              "14  0.142857                 (LUNCH BOX WITH CUTLERY RETROSPOT)\n",
              "15  0.104592                           (MINI PAINT SET VINTAGE)\n",
              "16  0.102041                  (PACK OF 72 RETROSPOT CAKE CASES)\n",
              "17  0.081633                          (PAPER BUNTING RETROSPOT)\n",
              "18  0.168367                    (PLASTERS IN TIN CIRCUS PARADE)\n",
              "19  0.137755                         (PLASTERS IN TIN SPACEBOY)\n",
              "20  0.081633                        (PLASTERS IN TIN STRONGMAN)\n",
              "21  0.170918                 (PLASTERS IN TIN WOODLAND ANIMALS)\n",
              "22  0.188776                               (RABBIT NIGHT LIGHT)\n",
              "23  0.096939                      (RED RETROSPOT CHARLOTTE BAG)\n",
              "24  0.137755                         (RED RETROSPOT MINI CASES)\n",
              "25  0.071429                         (RED RETROSPOT PICNIC BAG)\n",
              "26  0.181122                    (RED TOADSTOOL LED NIGHT LIGHT)\n",
              "27  0.125000                         (REGENCY CAKESTAND 3 TIER)\n",
              "28  0.086735                  (RETROSPOT TEA SET CERAMIC 11 PC)\n",
              "29  0.107143                (ROUND SNACK BOXES SET OF 4 FRUITS)\n",
              "30  0.158163               (ROUND SNACK BOXES SET OF4 WOODLAND)\n",
              "31  0.076531                (SET/10 RED POLKADOT PARTY CANDLES)\n",
              "32  0.132653               (SET/20 RED RETROSPOT PAPER NAPKINS)\n",
              "33  0.137755                      (SET/6 RED SPOTTY PAPER CUPS)\n",
              "34  0.127551                    (SET/6 RED SPOTTY PAPER PLATES)\n",
              "35  0.071429                           (SPACEBOY BIRTHDAY CARD)\n",
              "36  0.125000                               (SPACEBOY LUNCH BOX)\n",
              "37  0.122449                (STRAWBERRY LUNCH BOX WITH CUTLERY)\n",
              "38  0.094388                          (TEA PARTY BIRTHDAY CARD)\n",
              "39  0.073980                           (WOODLAND CHARLOTTE BAG)\n",
              "40  0.073980  (ALARM CLOCK BAKELIKE GREEN, ALARM CLOCK BAKEL...\n",
              "41  0.079082  (ALARM CLOCK BAKELIKE GREEN, ALARM CLOCK BAKEL...\n",
              "42  0.073980  (ALARM CLOCK BAKELIKE PINK, ALARM CLOCK BAKELI...\n",
              "43  0.071429         (SPACEBOY LUNCH BOX, DOLLY GIRL LUNCH BOX)\n",
              "44  0.089286  (PLASTERS IN TIN SPACEBOY, PLASTERS IN TIN CIR...\n",
              "45  0.102041  (PLASTERS IN TIN WOODLAND ANIMALS, PLASTERS IN...\n",
              "46  0.104592  (PLASTERS IN TIN WOODLAND ANIMALS, PLASTERS IN...\n",
              "47  0.102041  (SET/20 RED RETROSPOT PAPER NAPKINS, SET/6 RED...\n",
              "48  0.102041  (SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET...\n",
              "49  0.122449  (SET/6 RED SPOTTY PAPER PLATES, SET/6 RED SPOT...\n",
              "50  0.099490  (SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET..."
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 66
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RYXMU-qA85d6",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 195
        },
        "outputId": "ca04ec08-ac3d-49ba-f829-4472070036ec"
      },
      "source": [
        "rules = association_rules(frequent_itemsets, metric=\"lift\", min_threshold = 1)\n",
        "rules.head()"
      ],
      "execution_count": 67,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>antecedents</th>\n",
              "      <th>consequents</th>\n",
              "      <th>antecedent support</th>\n",
              "      <th>consequent support</th>\n",
              "      <th>support</th>\n",
              "      <th>confidence</th>\n",
              "      <th>lift</th>\n",
              "      <th>leverage</th>\n",
              "      <th>conviction</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE PINK)</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.073980</td>\n",
              "      <td>0.763158</td>\n",
              "      <td>7.478947</td>\n",
              "      <td>0.064088</td>\n",
              "      <td>3.791383</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE PINK)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.073980</td>\n",
              "      <td>0.725000</td>\n",
              "      <td>7.478947</td>\n",
              "      <td>0.064088</td>\n",
              "      <td>3.283859</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.094388</td>\n",
              "      <td>0.079082</td>\n",
              "      <td>0.815789</td>\n",
              "      <td>8.642959</td>\n",
              "      <td>0.069932</td>\n",
              "      <td>4.916181</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>0.094388</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.079082</td>\n",
              "      <td>0.837838</td>\n",
              "      <td>8.642959</td>\n",
              "      <td>0.069932</td>\n",
              "      <td>5.568878</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE PINK)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.094388</td>\n",
              "      <td>0.073980</td>\n",
              "      <td>0.725000</td>\n",
              "      <td>7.681081</td>\n",
              "      <td>0.064348</td>\n",
              "      <td>3.293135</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                    antecedents  ... conviction\n",
              "0  (ALARM CLOCK BAKELIKE GREEN)  ...   3.791383\n",
              "1   (ALARM CLOCK BAKELIKE PINK)  ...   3.283859\n",
              "2  (ALARM CLOCK BAKELIKE GREEN)  ...   4.916181\n",
              "3    (ALARM CLOCK BAKELIKE RED)  ...   5.568878\n",
              "4   (ALARM CLOCK BAKELIKE PINK)  ...   3.293135\n",
              "\n",
              "[5 rows x 9 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 67
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_S4ZqHOt9KsX",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 368
        },
        "outputId": "873c75ea-72ed-459c-fc96-8248033a9d46"
      },
      "source": [
        "rules[ (rules['lift'] >= 6) & (rules['confidence'] >= 0.8) ]"
      ],
      "execution_count": 68,
      "outputs": [
        {
          "output_type": "execute_result",
          "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>antecedents</th>\n",
              "      <th>consequents</th>\n",
              "      <th>antecedent support</th>\n",
              "      <th>consequent support</th>\n",
              "      <th>support</th>\n",
              "      <th>confidence</th>\n",
              "      <th>lift</th>\n",
              "      <th>leverage</th>\n",
              "      <th>conviction</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.094388</td>\n",
              "      <td>0.079082</td>\n",
              "      <td>0.815789</td>\n",
              "      <td>8.642959</td>\n",
              "      <td>0.069932</td>\n",
              "      <td>4.916181</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>(ALARM CLOCK BAKELIKE RED)</td>\n",
              "      <td>(ALARM CLOCK BAKELIKE GREEN)</td>\n",
              "      <td>0.094388</td>\n",
              "      <td>0.096939</td>\n",
              "      <td>0.079082</td>\n",
              "      <td>0.837838</td>\n",
              "      <td>8.642959</td>\n",
              "      <td>0.069932</td>\n",
              "      <td>5.568878</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>16</th>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES)</td>\n",
              "      <td>(SET/20 RED RETROSPOT PAPER NAPKINS)</td>\n",
              "      <td>0.127551</td>\n",
              "      <td>0.132653</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.800000</td>\n",
              "      <td>6.030769</td>\n",
              "      <td>0.085121</td>\n",
              "      <td>4.336735</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>18</th>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES)</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER CUPS)</td>\n",
              "      <td>0.127551</td>\n",
              "      <td>0.137755</td>\n",
              "      <td>0.122449</td>\n",
              "      <td>0.960000</td>\n",
              "      <td>6.968889</td>\n",
              "      <td>0.104878</td>\n",
              "      <td>21.556122</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>19</th>\n",
              "      <td>(SET/6 RED SPOTTY PAPER CUPS)</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES)</td>\n",
              "      <td>0.137755</td>\n",
              "      <td>0.127551</td>\n",
              "      <td>0.122449</td>\n",
              "      <td>0.888889</td>\n",
              "      <td>6.968889</td>\n",
              "      <td>0.104878</td>\n",
              "      <td>7.852041</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>20</th>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET...</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER CUPS)</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.137755</td>\n",
              "      <td>0.099490</td>\n",
              "      <td>0.975000</td>\n",
              "      <td>7.077778</td>\n",
              "      <td>0.085433</td>\n",
              "      <td>34.489796</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>21</th>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES, SET/6 RED SPOT...</td>\n",
              "      <td>(SET/20 RED RETROSPOT PAPER NAPKINS)</td>\n",
              "      <td>0.122449</td>\n",
              "      <td>0.132653</td>\n",
              "      <td>0.099490</td>\n",
              "      <td>0.812500</td>\n",
              "      <td>6.125000</td>\n",
              "      <td>0.083247</td>\n",
              "      <td>4.625850</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>22</th>\n",
              "      <td>(SET/20 RED RETROSPOT PAPER NAPKINS, SET/6 RED...</td>\n",
              "      <td>(SET/6 RED SPOTTY PAPER PLATES)</td>\n",
              "      <td>0.102041</td>\n",
              "      <td>0.127551</td>\n",
              "      <td>0.099490</td>\n",
              "      <td>0.975000</td>\n",
              "      <td>7.644000</td>\n",
              "      <td>0.086474</td>\n",
              "      <td>34.897959</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "                                          antecedents  ... conviction\n",
              "2                        (ALARM CLOCK BAKELIKE GREEN)  ...   4.916181\n",
              "3                          (ALARM CLOCK BAKELIKE RED)  ...   5.568878\n",
              "16                    (SET/6 RED SPOTTY PAPER PLATES)  ...   4.336735\n",
              "18                    (SET/6 RED SPOTTY PAPER PLATES)  ...  21.556122\n",
              "19                      (SET/6 RED SPOTTY PAPER CUPS)  ...   7.852041\n",
              "20  (SET/6 RED SPOTTY PAPER PLATES, SET/20 RED RET...  ...  34.489796\n",
              "21  (SET/6 RED SPOTTY PAPER PLATES, SET/6 RED SPOT...  ...   4.625850\n",
              "22  (SET/20 RED RETROSPOT PAPER NAPKINS, SET/6 RED...  ...  34.897959\n",
              "\n",
              "[8 rows x 9 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 68
        }
      ]
    }
  ]
}