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@ezzeldinadel
Created August 7, 2024 06:35
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HSC24 Ezz Tahoun.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"provenance": [],
"authorship_tag": "ABX9TyMfR+d7jMW73C2/m7Ub79fi",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/ezzeldinadel/a4a4cd74309eb61ff6894c821cad2dc5/hsc24-ezz-tahoun.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 684
},
"id": "tsB9aEQrhgMb",
"outputId": "19341aa2-5c0f-4f38-f8a2-3bf4c3ca3821"
},
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"/usr/local/lib/python3.10/dist-packages/sklearn/cluster/_kmeans.py:1416: FutureWarning: The default value of `n_init` will change from 10 to 'auto' in 1.4. Set the value of `n_init` explicitly to suppress the warning\n",
" super()._check_params_vs_input(X, default_n_init=10)\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
" alert_id feature1 feature2 feature3 cluster\n",
"0 1 1 1 0.5 1\n",
"1 2 2 2 0.6 1\n",
"2 3 1 2 0.5 1\n",
"3 4 5 5 1.5 2\n",
"4 5 6 5 1.6 2\n",
"5 6 4 4 1.4 0\n",
"6 7 5 4 1.5 0\n",
"7 8 6 6 1.6 2\n",
"8 9 4 5 1.4 0\n",
"9 10 3 3 1.3 0\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
],
"source": [
"import pandas as pd\n",
"from sklearn.cluster import DBSCAN\n",
"from sklearn.cluster import KMeans\n",
"from sklearn.preprocessing import StandardScaler\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"\n",
"# Sample data - replace with your alerts data\n",
"data = {\n",
" 'alert_id': [1, 2, 3, 4, 5, 6, 7, 8, 9, 10],\n",
" 'feature1': [1, 2, 1, 5, 6, 4, 5, 6, 4, 3], #technique\n",
" 'feature2': [1, 2, 2, 5, 5, 4, 4, 6, 5, 3], # entities' attribute1 (bunit)\n",
" 'feature3': [0.5, 0.6, 0.5, 1.5, 1.6, 1.4, 1.5, 1.6, 1.4, 1.3] # time\n",
"}\n",
"df = pd.DataFrame(data)\n",
"\n",
"# Features for clustering\n",
"features = df[['feature1', 'feature2', 'feature3']]\n",
"\n",
"# Standardize the features\n",
"scaler = StandardScaler()\n",
"features_scaled = scaler.fit_transform(features)\n",
"\n",
"\n",
"#kmeans\n",
"kmeans = KMeans(n_clusters=3, random_state=0)\n",
"df['cluster'] = kmeans.fit_predict(features_scaled)\n",
"\n",
"\n",
"# DBSCAN clustering\n",
"#dbscan = DBSCAN(eps=0.5, min_samples=2)\n",
"#df['cluster'] = dbscan.fit_predict(features_scaled)\n",
"\n",
"# Print the resulting clusters\n",
"print(df)\n",
"\n",
"# Plotting the clusters in 3D\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"scatter = ax.scatter(df['feature1'], df['feature2'], df['feature3'], c=df['cluster'], cmap='viridis')\n",
"legend1 = ax.legend(*scatter.legend_elements(), title=\"Clusters\")\n",
"ax.add_artist(legend1)\n",
"ax.set_xlabel('Feature 1')\n",
"ax.set_ylabel('Feature 2')\n",
"ax.set_zlabel('Feature 3')\n",
"plt.title('Alert Clustering')\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"source": [],
"metadata": {
"id": "Im8VYDpciFwz"
},
"execution_count": null,
"outputs": []
}
]
}
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