{
  "cells": [
    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "\n",
        "pd.set_option('display.max_rows', None)\n",
        "pd.set_option('display.max_columns', None)\n",
        "\n",
        "# Read the CSV file into a DataFrame\n",
        "df = pd.read_csv('CC GENERAL.csv').head(2000)\n",
        "\n",
        "# Display the first 5 rows\n",
        "print(df.head().to_markdown(index=False, numalign=\"left\", stralign=\"left\"))\n",
        "\n",
        "# Print the column names and their data types\n",
        "print(df.info())"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "| CUST_ID   | BALANCE   | BALANCE_FREQUENCY   | PURCHASES   | ONEOFF_PURCHASES   | INSTALLMENTS_PURCHASES   | CASH_ADVANCE   | PURCHASES_FREQUENCY   | ONEOFF_PURCHASES_FREQUENCY   | PURCHASES_INSTALLMENTS_FREQUENCY   | CASH_ADVANCE_FREQUENCY   | CASH_ADVANCE_TRX   | PURCHASES_TRX   | CREDIT_LIMIT   | PAYMENTS   | MINIMUM_PAYMENTS   | PRC_FULL_PAYMENT   | TENURE   |\n",
            "|:----------|:----------|:--------------------|:------------|:-------------------|:-------------------------|:---------------|:----------------------|:-----------------------------|:-----------------------------------|:-------------------------|:-------------------|:----------------|:---------------|:-----------|:-------------------|:-------------------|:---------|\n",
            "| C10001    | 40.9007   | 0.818182            | 95.4        | 0                  | 95.4                     | 0              | 0.166667              | 0                            | 0.083333                           | 0                        | 0                  | 2               | 1000           | 201.802    | 139.51             | 0                  | 12       |\n",
            "| C10002    | 3202.47   | 0.909091            | 0           | 0                  | 0                        | 6442.95        | 0                     | 0                            | 0                                  | 0.25                     | 4                  | 0               | 7000           | 4103.03    | 1072.34            | 0.222222           | 12       |\n",
            "| C10003    | 2495.15   | 1                   | 773.17      | 773.17             | 0                        | 0              | 1                     | 1                            | 0                                  | 0                        | 0                  | 12              | 7500           | 622.067    | 627.285            | 0                  | 12       |\n",
            "| C10004    | 1666.67   | 0.636364            | 1499        | 1499               | 0                        | 205.788        | 0.083333              | 0.083333                     | 0                                  | 0.083333                 | 1                  | 1               | 7500           | 0          | nan                | 0                  | 12       |\n",
            "| C10005    | 817.714   | 1                   | 16          | 16                 | 0                        | 0              | 0.083333              | 0.083333                     | 0                                  | 0                        | 0                  | 1               | 1200           | 678.335    | 244.791            | 0                  | 12       |\n",
            "<class 'pandas.core.frame.DataFrame'>\n",
            "RangeIndex: 2000 entries, 0 to 1999\n",
            "Data columns (total 18 columns):\n",
            " #   Column                            Non-Null Count  Dtype  \n",
            "---  ------                            --------------  -----  \n",
            " 0   CUST_ID                           2000 non-null   object \n",
            " 1   BALANCE                           2000 non-null   float64\n",
            " 2   BALANCE_FREQUENCY                 2000 non-null   float64\n",
            " 3   PURCHASES                         2000 non-null   float64\n",
            " 4   ONEOFF_PURCHASES                  2000 non-null   float64\n",
            " 5   INSTALLMENTS_PURCHASES            2000 non-null   float64\n",
            " 6   CASH_ADVANCE                      2000 non-null   float64\n",
            " 7   PURCHASES_FREQUENCY               2000 non-null   float64\n",
            " 8   ONEOFF_PURCHASES_FREQUENCY        2000 non-null   float64\n",
            " 9   PURCHASES_INSTALLMENTS_FREQUENCY  2000 non-null   float64\n",
            " 10  CASH_ADVANCE_FREQUENCY            2000 non-null   float64\n",
            " 11  CASH_ADVANCE_TRX                  2000 non-null   int64  \n",
            " 12  PURCHASES_TRX                     2000 non-null   int64  \n",
            " 13  CREDIT_LIMIT                      2000 non-null   float64\n",
            " 14  PAYMENTS                          2000 non-null   float64\n",
            " 15  MINIMUM_PAYMENTS                  1899 non-null   float64\n",
            " 16  PRC_FULL_PAYMENT                  2000 non-null   float64\n",
            " 17  TENURE                            2000 non-null   int64  \n",
            "dtypes: float64(14), int64(3), object(1)\n",
            "memory usage: 281.4+ KB\n",
            "None\n"
          ]
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ubBkYC-9mN0A",
        "outputId": "0074aeed-f1d3-49e3-8b2e-9f9d48e7be76"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "I'll start by preprocessing the data and then I'll use PCA to reduce the dimensions of the data to 2."
      ],
      "metadata": {
        "id": "D8fFk_UImN0C"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.decomposition import PCA\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "\n",
        "# Drop the column `CUST_ID`\n",
        "df = df.drop('CUST_ID', axis=1)\n",
        "\n",
        "# Drop rows with null values\n",
        "df = df.dropna()\n",
        "\n",
        "# Fit the PCA model with 2 components\n",
        "pca = PCA(n_components=2)\n",
        "principal_components = pca.fit_transform(StandardScaler().fit_transform(df))\n",
        "\n",
        "# Display the principal components\n",
        "pca_df = pd.DataFrame(data=principal_components, columns=['PC1', 'PC2'])\n",
        "print(pca_df.head().to_markdown(index=False, numalign=\"left\", stralign=\"left\"))"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "| PC1      | PC2       |\n",
            "|:---------|:----------|\n",
            "| -1.9244  | -1.20484  |\n",
            "| -1.44677 | 1.78102   |\n",
            "| 0.377469 | -0.819454 |\n",
            "| -1.84506 | -0.870152 |\n",
            "| -0.29743 | -0.839586 |\n"
          ]
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "LhzHYk2omN0D",
        "outputId": "243e199e-8169-4b0f-b5af-a1b3b04adb29"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "Now, I'll use the silhouette score to find the optimal number of clusters."
      ],
      "metadata": {
        "id": "5MrmAaUbmN0E"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "from scipy.cluster import hierarchy\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Create the dendrogram\n",
        "plt.figure(figsize=(10, 7))\n",
        "plt.title(\"Dendrogram\")\n",
        "dend = hierarchy.dendrogram(hierarchy.linkage(pca_df, method='ward'))\n",
        "\n",
        "# Save the dendrogram\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 626
        },
        "id": "k9pI1s9pnTtw",
        "outputId": "112d66db-7b4b-466a-f751-deccab72304c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x700 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from sklearn.cluster import AgglomerativeClustering\n",
        "from sklearn.metrics import silhouette_score\n",
        "\n",
        "# Initialize lists to store the number of clusters and their corresponding silhouette scores\n",
        "n_clusters_list = []\n",
        "silhouette_scores_list = []\n",
        "\n",
        "# Loop through different numbers of clusters\n",
        "for n_clusters in range(2, 11):\n",
        "    # Fit the hierarchical clustering model\n",
        "    clusterer = AgglomerativeClustering(n_clusters=n_clusters)\n",
        "    cluster_labels = clusterer.fit_predict(principal_components)\n",
        "\n",
        "    # Calculate the silhouette score\n",
        "    silhouette_avg = silhouette_score(principal_components, cluster_labels)\n",
        "\n",
        "    # Append the number of clusters and silhouette score to the lists\n",
        "    n_clusters_list.append(n_clusters)\n",
        "    silhouette_scores_list.append(silhouette_avg)\n",
        "\n",
        "# Display the number of clusters with the highest silhouette score\n",
        "print(f\"Optimal number of clusters: {n_clusters_list[silhouette_scores_list.index(max(silhouette_scores_list))]}\")\n",
        "\n",
        "# Display the lists of number of clusters and silhouette scores\n",
        "print(f\"Number of clusters: {n_clusters_list}\")\n",
        "print(f\"Silhouette scores: {silhouette_scores_list}\")"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Optimal number of clusters: 2\n",
            "Number of clusters: [2, 3, 4, 5, 6, 7, 8, 9, 10]\n",
            "Silhouette scores: [0.43597633374003897, 0.4306127501634657, 0.4250723710390432, 0.3330180044264601, 0.3194791746032844, 0.323937694527815, 0.33175152717815976, 0.30654450819214957, 0.32301099255768106]\n"
          ]
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "x8e7BXB1mN0E",
        "outputId": "72ee6ad2-8352-4491-89eb-58e032ecfa7c"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "I'll visualize the clusters formed for 2 clusters as it has the highest silhouette score."
      ],
      "metadata": {
        "id": "HK0IQGt_mN0E"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "# prompt: create a barchart for silhouette_scores_list and n_clusters_list\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "# Create the bar chart\n",
        "plt.figure(figsize=(10, 6))\n",
        "plt.bar(n_clusters_list, silhouette_scores_list, color='skyblue')\n",
        "plt.xlabel(\"Number of Clusters\")\n",
        "plt.ylabel(\"Silhouette Score\")\n",
        "plt.title(\"Silhouette Score vs. Number of Clusters\")\n",
        "plt.xticks(n_clusters_list)  # Ensure all x-axis values are displayed\n",
        "plt.grid(axis='y', linestyle='--', alpha=0.7)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "HGe69CwDoCH3",
        "outputId": "9e510b03-0c53-4823-b8ca-6529a7fb8b41"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install \"vl-convert-python>=1.6.0\"\n",
        "import altair as alt\n",
        "\n",
        "# Fit the hierarchical clustering model with 3 clusters\n",
        "clusterer = AgglomerativeClustering(n_clusters=3)\n",
        "cluster_labels = clusterer.fit_predict(principal_components)\n",
        "\n",
        "# Add the cluster labels to the DataFrame\n",
        "pca_df['Cluster'] = cluster_labels\n",
        "\n",
        "# Create a scatter plot with PC1 on the x-axis and PC2 on the y-axis\n",
        "chart = alt.Chart(pca_df).mark_point().encode(\n",
        "    x='PC1',\n",
        "    y='PC2',\n",
        "    color='Cluster:N',\n",
        "    tooltip=['PC1', 'PC2', 'Cluster']\n",
        ").properties(\n",
        "    title='Hierarchical Clustering with 3 Clusters'\n",
        ").interactive()\n",
        "\n",
        "# Save the chart\n",
        "chart.save('hierarchical_clustering_scatter_plot.json')\n",
        "chart"
      ],
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting vl-convert-python>=1.6.0\n",
            "  Downloading vl_convert_python-1.7.0-cp37-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl.metadata (5.2 kB)\n",
            "Downloading vl_convert_python-1.7.0-cp37-abi3-manylinux_2_17_x86_64.manylinux2014_x86_64.whl (30.1 MB)\n",
            "\u001b[2K   \u001b[90m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[32m30.1/30.1 MB\u001b[0m \u001b[31m57.7 MB/s\u001b[0m eta \u001b[36m0:00:00\u001b[0m\n",
            "\u001b[?25hInstalling collected packages: vl-convert-python\n",
            "Successfully installed vl-convert-python-1.7.0\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
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              "</script>"
            ],
            "text/plain": [
              "alt.Chart(...)"
            ]
          },
          "metadata": {},
          "execution_count": 6
        }
      ],
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 494
        },
        "id": "Uf26QchgmN0F",
        "outputId": "d21722b0-1db5-4ee9-b895-be211a4004af"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "\n",
        "The optimal number of clusters is 2.\n",
        "\n",
        "Here is a step-by-step guide to explaining hierarchical clustering to your students:\n",
        "\n",
        "1. Start by preprocessing the data by removing the column `CUST_ID` as it is not relevant to our analysis and removing the rows with missing values.\n",
        "\n",
        "2. Reduce the dimensions of the data using PCA.\n",
        "\n",
        "3. Fit the data with `n_clusters` ranging from 2 to 10 to a hierarchical clustering model.\n",
        "\n",
        "4. Calculate the silhouette score for each fitted model.\n",
        "\n",
        "5. Display the number of clusters with the highest silhouette score.\n",
        "\n",
        "6. Visualize the clusters formed.\n"
      ],
      "metadata": {
        "id": "yGL2oJMQmN0F"
      }
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
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  "nbformat": 4,
  "nbformat_minor": 0
}