3) Clustering Models/Hierarchical Clustering/Hierarchical_Clustering.ipynb

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            "--2024-12-02 15:35:01--  https://media.githubusercontent.com/media/pradeep-016/ML_Course/refs/heads/main/3)%20Clustering%20Models/Hierarchical%20Clustering/segmentation%20data.csv\n",
            "Resolving media.githubusercontent.com (media.githubusercontent.com)... 185.199.108.133, 185.199.109.133, 185.199.110.133, ...\n",
            "Connecting to media.githubusercontent.com (media.githubusercontent.com)|185.199.108.133|:443... connected.\n",
            "HTTP request sent, awaiting response... 200 OK\n",
            "Length: 61519 (60K) [text/plain]\n",
            "Saving to: ‘segmentation data.csv’\n",
            "\n",
            "segmentation data.c 100%[===================>]  60.08K  --.-KB/s    in 0.01s   \n",
            "\n",
            "2024-12-02 15:35:01 (4.55 MB/s) - ‘segmentation data.csv’ saved [61519/61519]\n",
            "\n"
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      "source": [
        "!wget \"https://media.githubusercontent.com/media/pradeep-016/ML_Course/refs/heads/main/3)%20Clustering%20Models/Hierarchical%20Clustering/segmentation%20data.csv\""
      ]
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    {
      "cell_type": "code",
      "source": [
        "import pandas as pd\n",
        "from sklearn.preprocessing import StandardScaler\n",
        "from sklearn.cluster import AgglomerativeClustering\n",
        "from scipy.cluster.hierarchy import dendrogram, linkage\n",
        "from sklearn.metrics import silhouette_score, davies_bouldin_score, adjusted_rand_score\n",
        "import matplotlib.pyplot as plt\n",
        "import plotly.express as px"
      ],
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      "execution_count": 2,
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        "data = pd.read_csv(\"segmentation data.csv\")"
      ],
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      "execution_count": 3,
      "outputs": []
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              "          ID  Sex  Marital status  Age  Education  Income  Occupation  \\\n",
              "0  100000001    0               0   67          2  124670           1   \n",
              "1  100000002    1               1   22          1  150773           1   \n",
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              "3  100000004    0               0   45          1  171565           1   \n",
              "4  100000005    0               0   53          1  149031           1   \n",
              "\n",
              "   Settlement size  \n",
              "0                2  \n",
              "1                2  \n",
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        "features = data[['Age', 'Income', 'Settlement size']]"
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      "execution_count": 5,
      "outputs": []
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        "scaler = StandardScaler()\n",
        "scaled_features = scaler.fit_transform(features)"
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        "plt.figure(figsize = (20, 10))\n",
        "linked = linkage(scaled_features, method = 'ward')\n",
        "dendrogram(linked, orientation = 'top', distance_sort = 'ascending', show_leaf_counts= False)\n",
        "plt.title('Dendrogram')\n",
        "plt.xlabel('Customers')\n",
        "plt.ylabel('Euclidean distances')\n",
        "plt.show()"
      ],
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      "execution_count": 7,
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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "n_clusters = 3\n",
        "hierarchical_model = AgglomerativeClustering(n_clusters=n_clusters, linkage='ward')\n",
        "clusters = hierarchical_model.fit_predict(scaled_features)"
      ],
      "metadata": {
        "id": "B-JhP1w06V79"
      },
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "data['Cluster'] = clusters"
      ],
      "metadata": {
        "id": "n4eIaoxi7ZiR"
      },
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "scaled_df = pd.DataFrame(scaled_features, columns =['Age', 'Income', 'Settlement size'])\n",
        "scaled_df['Cluster'] = clusters"
      ],
      "metadata": {
        "id": "gvE_VwZd7t1X"
      },
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fig = px.scatter_3d(\n",
        "    scaled_df,\n",
        "    x = 'Age', y = 'Income', z = 'Settlement size',\n",
        "    color = 'Cluster',\n",
        "    title = 'Customer Segment using Hierarchical Clustering',\n",
        "    labels = {'Age': 'Age (Scaled)', 'Income':'Income (Scaled)', 'Settlement size':'Settlement size (Scaled)'},\n",
        "    opacity = 0.8\n",
        ")\n",
        "fig.update_traces(marker = dict(size = 5))\n",
        "fig.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 542
        },
        "id": "DFrWJtK_89xV",
        "outputId": "fa94c6a6-3c3f-454d-870e-cb42ee97b451"
      },
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
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      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sil_score = silhouette_score(scaled_features, clusters)\n",
        "print(f\"Silhouette Score: {sil_score:.3f}\")"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zg02dnjh9u6w",
        "outputId": "6fdee6f1-6584-47e8-8f94-0a50642a1030"
      },
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Silhouette Score: 0.341\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "ITMFu-Gw-t3F"
      },
      "execution_count": 12,
      "outputs": []
    }
  ]
}