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c509679cec95ee0ee343c45e8ee11b1968c2c9ff
breast-cancer-detection/naive_bayes.ipynb
MoritzSiem c509679cec Add files via upload
2025-06-06 14:50:37 +02:00

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{
"cells": [
{
"cell_type": "markdown",
"id": "8797cb42",
"metadata": {},
"source": [
"## First view of the data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "391c54d2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(116, 10)\n",
" Age BMI Glucose Insulin HOMA Leptin Adiponectin Resistin \\\n",
"0 48 23.500000 70 2.707 0.467409 8.8071 9.702400 7.99585 \n",
"1 83 20.690495 92 3.115 0.706897 8.8438 5.429285 4.06405 \n",
"2 82 23.124670 91 4.498 1.009651 17.9393 22.432040 9.27715 \n",
"3 68 21.367521 77 3.226 0.612725 9.8827 7.169560 12.76600 \n",
"4 86 21.111111 92 3.549 0.805386 6.6994 4.819240 10.57635 \n",
"\n",
" MCP.1 Classification \n",
"0 417.114 1 \n",
"1 468.786 1 \n",
"2 554.697 1 \n",
"3 928.220 1 \n",
"4 773.920 1 \n",
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 116 entries, 0 to 115\n",
"Data columns (total 10 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 Age 116 non-null int64 \n",
" 1 BMI 116 non-null float64\n",
" 2 Glucose 116 non-null int64 \n",
" 3 Insulin 116 non-null float64\n",
" 4 HOMA 116 non-null float64\n",
" 5 Leptin 116 non-null float64\n",
" 6 Adiponectin 116 non-null float64\n",
" 7 Resistin 116 non-null float64\n",
" 8 MCP.1 116 non-null float64\n",
" 9 Classification 116 non-null int64 \n",
"dtypes: float64(7), int64(3)\n",
"memory usage: 9.2 KB\n",
"The features are : ['Age', 'BMI', 'Glucose', 'Insulin', 'HOMA', 'Leptin', 'Adiponectin', 'Resistin', 'MCP.1']\n"
]
},
{
"data": {
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Gp07lKcDqp9w8ixsjcw13xu+sL8u6jn19HRw+fNjhZ8HT274zztZjfg6eXA8l3cbOH78430n5jh8/LkkyxpQi0n+U9LtfkjIzMx2On5mZ6XQ57t5nlJSj9eYN25Ovye9HX/o+8Tbevj8p6pikpNOUdF5Ox/fifiuvY9iScsU+ozQ8/RujsO9yd2ybpeHN27Mzvhjz4cOHi33MVRR37uMc9XVZvhsKzN+F3+X5SnJ86y28Kebibl/nbhteub8wLvbbb78ZSWbDhg127RMmTDDdunUrMP6UKVOMJF68ePHi5eHXr7/+6rbvfmOMCQwMNMnJyXZts2bNMuHh4U6Xwz6DFy9evLzjVZZ9RmnwG4MXL168fPPl6v2Fy8/Eqlu3rvz9/ZWVlWXXnpWVpcjIyALjT5o0SePHj7e9z8vL05EjR1SnTh1ZLL5RfZek7OxsNWrUSL/++qvCwsI8HU6p+HoOvh6/RA7eorLlYIzR8ePHFRUVVerllfS7X5IiIyNLNL7km/uMirA9eQp9V3r0XenQb0VzxT6jNDz9G8MXtw1idg9fjFnyzbiJ2T1cFXN57S9cXsSqUqWKOnfurDVr1mjIkCGS/tlprFmzRmPGjCkwflBQkIKCguzaatas6eqw3CYsLMxnNk5nfD0HX49fIgdvUZlyqFGjRpmWU9LvfkmKjY3VmjVrNG7cOFtbSkqKYmNjnS7Hl/cZFWF78hT6rvTou9Kh3wpX1n1GaXjLbwxf3DaI2T18MWbJN+MmZvdwRczlsb9weRFLksaPH6+EhAR16dJF3bp10wsvvKCTJ0/q9ttvL4/FAQC8QFHf/bfddpsaNGigpKQkSdLYsWPVq1cvPffccxo4cKAWLFigbdu26fXXX/dkGgAAL8VvDABAuRSxhg0bpj/++EOPP/64MjMz1alTJ61cubLAjRgBABVHUd/9+/fvl5/f/z0Ut3v37kpOTtZjjz2mRx55RC1atNCyZcvUrl07T6UAAPBi/MYAAJRLEUuSxowZ4/QSkoooKChIU6ZMKXDasi/x9Rx8PX6JHLwFOZReYd/969atK9B2/fXX6/rrry/nqDyrImxPnkLflR59Vzr0m/fz1G8MX9w2iNk9fDFmyTfjJmb38PaYLca4+fm4AAAAAAAAQAn5FT0KAAAAAAAA4FkUsQAAAAAAAOD1KGIBAAAAAADA61HEKoHZs2erQ4cOCgsLU1hYmGJjY/XZZ5/Zhp8+fVqJiYmqU6eOqlevrmuvvVZZWVkejLhwM2bMkMVi0bhx42xtvpDD1KlTZbFY7F6tWrWyDfeFHCTpt99+0y233KI6deqoatWqat++vbZt22YbbozR448/rvr166tq1aqKi4vTnj17PBixvSZNmhRYDxaLRYmJiZK8fz3k5uZq8uTJatq0qapWraoLLrhATzzxhM69TaC3rwNJOn78uMaNG6fo6GhVrVpV3bt319atW23DfSGHiiIpKUldu3ZVaGiowsPDNWTIEO3evdtuHG//XHhCcfqtd+/eBb5r7rrrLg9F7D0q2nGJOxXVd2xzlZevHZ/5yvHM+vXrNWjQIEVFRclisWjZsmV2w4sT45EjR3TzzTcrLCxMNWvW1KhRo3TixAmPxGy1WvXwww+rffv2qlatmqKionTbbbfp999/99qYz3fXXXfJYrHohRde8PqYf/jhB1199dWqUaOGqlWrpq5du2r//v224e7e3xUV84kTJzRmzBg1bNhQVatWVZs2bTRnzhy7cdwds6uOU/fv36+BAwcqJCRE4eHhmjBhgs6ePVtucTtkUGwff/yxWb58ufnpp5/M7t27zSOPPGICAwNNWlqaMcaYu+66yzRq1MisWbPGbNu2zVxyySWme/fuHo7asS1btpgmTZqYDh06mLFjx9rafSGHKVOmmLZt25qDBw/aXn/88YdtuC/kcOTIERMdHW1GjBhhNm/ebH755RezatUqk56ebhtnxowZpkaNGmbZsmXm22+/NVdffbVp2rSp+fvvvz0Y+f85dOiQ3TpISUkxkszatWuNMd6/Hp566ilTp04d8+mnn5qMjAyzaNEiU716dfPiiy/axvH2dWCMMTfccINp06aNSU1NNXv27DFTpkwxYWFh5sCBA8YY38ihooiPjzdz5841aWlpZseOHebKK680jRs3NidOnLCN4+2fC08oTr/16tXLjB492u4759ixYx6M2jtUpOMSdyuq79jmKidfPD7zleOZFStWmEcffdQsWbLESDJLly61G16cGPv37286duxoNm3aZP73v/+Z5s2bm+HDh3sk5qNHj5q4uDjzwQcfmB9//NFs3LjRdOvWzXTu3NluHt4U87mWLFliOnbsaKKioszMmTO9Oub09HRTu3ZtM2HCBPP111+b9PR089FHH5msrCzbOO7e3xUV8+jRo80FF1xg1q5dazIyMsxrr71m/P39zUcffeSxmF1xnHr27FnTrl07ExcXZ7755huzYsUKU7duXTNp0qRyi9sRilhlVKtWLfPmm2+ao0ePmsDAQLNo0SLbsB9++MFIMhs3bvRghAUdP37ctGjRwqSkpJhevXrZili+ksOUKVNMx44dHQ7zlRwefvhh07NnT6fD8/LyTGRkpHn22WdtbUePHjVBQUHm/fffd0eIJTZ27FhzwQUXmLy8PJ9YDwMHDjQjR460axs6dKi5+eabjTG+sQ5OnTpl/P39zaeffmrXfvHFF5tHH33UJ3KoyA4dOmQkmdTUVGOM73w/edr5/WaMsdtXoXC+eFziLfL7zhi2ucrKF4/PfPF45vwf/cWJ8fvvvzeSzNatW23jfPbZZ8ZisZjffvvN7TE7smXLFiPJ7Nu3zxjjvTEfOHDANGjQwKSlpZno6Gi7IpY3xjxs2DBzyy23OJ3G0/s7RzG3bdvWTJ8+3a4t//jcG2I2pnTHqStWrDB+fn4mMzPTNs7s2bNNWFiYycnJcUvcxhjD5YSllJubqwULFujkyZOKjY3V9u3bZbVaFRcXZxunVatWaty4sTZu3OjBSAtKTEzUwIED7WKV5FM57NmzR1FRUWrWrJluvvlm2+mkvpLDxx9/rC5duuj6669XeHi4LrroIr3xxhu24RkZGcrMzLTLo0aNGoqJifGqPPKdOXNG7733nkaOHCmLxeIT66F79+5as2aNfvrpJ0nSt99+qy+//FIDBgyQ5Bvr4OzZs8rNzVVwcLBde9WqVfXll1/6RA4V2bFjxyRJtWvXluQ730+edn6/5Zs/f77q1q2rdu3aadKkSTp16pQnwvNavnxc4mnn910+trnKxxePzyrC8UxxYty4caNq1qypLl262MaJi4uTn5+fNm/e7PaYHTl27JgsFotq1qwpyTtjzsvL06233qoJEyaobdu2BYZ7W8x5eXlavny5LrzwQsXHxys8PFwxMTF2l+954/6ue/fu+vjjj/Xbb7/JGKO1a9fqp59+Ur9+/bwm5tIcp27cuFHt27dXRESEbZz4+HhlZ2fru+++c0vckhTgtiVVELt27VJsbKxOnz6t6tWra+nSpWrTpo127NihKlWq2L608kVERCgzM9MzwTqwYMECff3113b3zMmXmZnpEznExMRo3rx5atmypQ4ePKhp06bp0ksvVVpams/k8Msvv2j27NkaP368HnnkEW3dulX33XefqlSpooSEBFus535B5L/3pjzyLVu2TEePHtWIESMk+ca2NHHiRGVnZ6tVq1by9/dXbm6unnrqKd18882S5BPrIDQ0VLGxsXriiSfUunVrRURE6P3339fGjRvVvHlzn8ihosrLy9O4cePUo0cPtWvXTpJvfC48zVG/SdJNN92k6OhoRUVFaefOnXr44Ye1e/duLVmyxIPRegdfPy7xJGd9J7HNVVa+eHxWEY5nihNjZmamwsPD7YYHBASodu3aXpHH6dOn9fDDD2v48OEKCwuT5J0xP/300woICNB9993ncLi3xXzo0CGdOHFCM2bM0JNPPqmnn35aK1eu1NChQ7V27Vr16tXLK4+vXn75Zd15551q2LChAgIC5OfnpzfeeEOXXXaZJM8fE5b2ODUzM9Ph5zR/mLtQxCqhli1baseOHTp27JgWL16shIQEpaamejqsYvn11181duxYpaSkFDhzw5fk/2VJkjp06KCYmBhFR0dr4cKFqlq1qgcjK768vDx16dJF//73vyVJF110kdLS0jRnzhwlJCR4OLqSe+uttzRgwABFRUV5OpRiW7hwoebPn6/k5GS1bdtWO3bs0Lhx4xQVFeVT6+C///2vRo4cqQYNGsjf318XX3yxhg8fru3bt3s6tEotMTFRaWlp+vLLLz0dik9x1m933nmn7f/t27dX/fr1dcUVV+jnn3/WBRdc4O4wvYovH5d4mrO+a9OmDdtcJeWLx2cV5XjGl1mtVt1www0yxmj27NmeDsep7du368UXX9TXX38ti8Xi6XCKJS8vT5I0ePBg3X///ZKkTp06acOGDZozZ4569erlyfCcevnll7Vp0yZ9/PHHio6O1vr165WYmKioqKgCV0N5gq8fp3I5YQlVqVJFzZs3V+fOnZWUlKSOHTvqxRdfVGRkpM6cOaOjR4/ajZ+VlaXIyEjPBHue7du369ChQ7r44osVEBCggIAApaam6qWXXlJAQIAiIiK8PgdHatasqQsvvFDp6ek+sR4kqX79+ra/9uZr3bq17bLI/FjPfxqEt+UhSfv27dPnn3+uO+64w9bmC+thwoQJmjhxom688Ua1b99et956q+6//34lJSVJ8p11cMEFFyg1NVUnTpzQr7/+qi1btshqtapZs2Y+k0NFM2bMGH366adau3atGjZsaGv3hc+FJznrN0diYmIkSenp6e4Izav58nGJpznrO0fY5ioHXzw+qwjHM8WJMTIyUocOHbIbfvbsWR05csSjeeQXsPbt26eUlBTbWViS98X8v//9T4cOHVLjxo1tvwX37dunBx54QE2aNPHKmOvWrauAgIAiP5fetL/7+++/9cgjj+j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"text/plain": [
"<Figure size 1200x800 with 12 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Import of the libraries\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"# Load data\n",
"data = pd.read_csv('dataR2.csv')\n",
"\n",
"# View data\n",
"print(data.shape)\n",
"print(data.head())\n",
"data.info()\n",
"\n",
"# Separate features and targets\n",
"features = data.columns[:-1]\n",
"print(\"The features are :\", list(features))\n",
"target = 'Classification'\n",
"\n",
"# View the distribution of the features\n",
"data.hist(bins=50, figsize=(12, 8))\n",
"plt.suptitle(\"Barplot of the features\", fontsize=16)\n",
"plt.tight_layout()\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "a62b9137",
"metadata": {},
"source": [
"### The dataset\n",
"\n",
"The dataset has 116 observations on 9 explicative features and 1 target variable.\n",
"The features are continuous and have the following labels: `Age`, `BMI`, `Glucose`, `Insulin`, `HOMA`, `Leptin`, `Adiponectin`, `Resistin`, `MCP.1`.\n",
"The target variable is called `Classification` and takes the values 2 if the patient has breast cancer and 1 if the patient hasn't.\n",
"\n",
"There are no missing values.\n",
"\n",
"### Distribution of the variables\n",
"Certain variables have an **asymmetrical distribution** and extreme values, more specifically `Insulin`, `HOMA`, `Leptin`, `Adiponectin`, `Resistin` and `MCP.1`. We will transform and standardise the data.\n"
]
},
{
"cell_type": "markdown",
"id": "9cb261cd",
"metadata": {},
"source": [
"## Splitting dataset between target and features\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "3eddff01",
"metadata": {},
"outputs": [],
"source": [
"X = data.drop(columns='Classification')\n",
"y = data['Classification'].map({2: 1, 1: 0})\n",
"# Mapping : 1 = healthy patient (negative), 2 = sick patient(positive)\n",
"# We want : 0 = healthy patient (negative), 1 = sick patient(positive)"
]
},
{
"cell_type": "markdown",
"id": "50ffc678",
"metadata": {},
"source": [
"## Visualisation of ouliers"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "14be5c48",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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as2ZNqecpKChweIOZl5d3SfEAAAAAQE1ITU3VmTNn5Ofnp4KCAj333HP2OpvNJj8/P2VmZio1NVXBwcEmRgoAANAwVTiJvnXrVt1zzz06fPiwDMNwqLNYLCosLLykQCIiIrRnzx59/vnnDuUTJkyw/3z11VfL29tbffv21cGDB9WuXbsS54mPj1dcXNwlxQAAAAAANS01NVWS9NBDD6lr165KS0tTTk6OPD09FRQUpNTUVD388MMk0YF6ID8/X5mZmWaHUe/4+fnJ1dXV7DAA1GMVTqI/+OCDuvbaa/XBBx/I29tbFoul0kFMnjxZ77//vpKTk3X55Zf/adsePXpIkg4cOFBqEj06OlpRUVH2/by8PPn6+lY6RgAAAACoToZhyNnZWd27dzc7FADVJDMz02GwIKrG4sWL1aFDB7PDAFCPVTiJvn//fv373//WlVdeWekHNwxDU6ZM0TvvvKPNmzcrICDgoscUj9Lw9vYutd5qtZZYjAcAAAAAaqtu3brpjTfe0LJly9S9e3c5Of1v6aqioiItW7bM3g5A3ebn56fFixebHcZFHT58WHPmzNG0adPk7+9vdjgX5efnZ3YIAOq5CifRe/TooQMHDlRJEj0iIkIrV67Uu+++qxYtWigrK0uS5O7uriZNmujgwYNauXKlBg0apJYtWyotLU2RkZEKDQ1lZXoAAAAA9UK3bt3k4eGh3bt3a9q0abr33nsVEBCgjIwMrVixQrt379Zll11GEh2oB1xdXevUiGl/f/86FS8aBqZFqj5MjVS2CifRp0yZoocfflhZWVm6+uqr1bhxY4f6iiS3Fy5cKEnq3bu3Q/nSpUt1//33y8XFRRs3btT8+fN1+vRp+fr6avjw4YqJialo2AAAAABQKzk7OysqKkqxsbHauXOnUlJS7HVWq1UWi0WRkZFydnY2MUoAAGoHpkWqPkyNVLYKJ9GHDx8uSRozZoy9zGKxyDCMCi8s+seFSf/I19dXW7ZsqWiIqEMKCwtLLJzEhwMAAAA0NKGhoYqLi1NiYqL9Dl1J8vT01MSJExUaGmpidAAA1B51ZVokiamR6pMKJ9EzMjKqIw40QMnJySU+JNhsNk2aNIkPCQAAAGhwQkND1atXLwaZAADwJ+ratEgSUyPVBxVOoteFb01Q+yUnJys2NlYhISGaPn26fc7HpKQkxcbGKi4ujkQ6AAAAGhxnZ2d1797d7DAAAADwO04XbyL95z//0blz5+w//9kGXExhYaESExMVEhKi2bNnKzAwUE2bNlVgYKBmz56tkJAQLVy4sEJTAwEAzDVz5kxZLBaHrVOnTvb6/Px8RUREqGXLlmrevLmGDx+u7OxsEyMGAAAAAKB8yjUSfejQocrKylKbNm00dOjQMttVdE50NExpaWnKysrS9OnT5eTk+D2Ok5OTwsPDFRERobS0NEbhAEAdEhgYqI0bN9r3GzX639uMyMhIffDBB1q9erXc3d01efJkDRs2TF988YUZoQIAAAAAUG7lSqIXFRWV+jNwKXJyciRJAQEBpdYXlxe3AwDUDY0aNZLNZitRnpubqyVLlmjlypW6+eabJUlLly5V586dtXXrVvXs2bOmQwWAWquwsJA50QEAAGqZck3n8nuvv/66CgoKSpSfPXtWr7/+epUEhfrN09NTUtmL1BaXF7cDANQN+/fvl4+Pj9q2bavw8HBlZmZKknbs2KFz584pLCzM3rZTp07y8/NTSkqKWeECQK2TnJys8PBwRUZG6sknn1RkZKTCw8OVnJxsdmgAAAANWoWT6KNHj1Zubm6J8pMnT2r06NFVEhTqt6CgINlsNiUlJZW4s6GoqEhJSUny9vZWUFCQSRECACqqR48eWrZsmdavX6+FCxcqIyNDN954o06ePKmsrCy5uLjIw8PD4RgvLy9lZWWVec6CggLl5eU5bABQXyUnJys2NlZt27ZVQkKC1q1bp4SEBLVt21axsbEk0nFRycnJGjx4sHx8fGSxWLR27VqHesMwNGPGDHl7e6tJkyYKCwvT/v37Hdrk5OQoPDxcbm5u8vDw0NixY3Xq1CmHNmlpabrxxhvl6uoqX19fPfPMM9V9aQAAmK7CSXTDMGSxWEqU//jjj3J3d6+SoFC/OTs7a9KkSUpJSVFMTIzS09N15swZpaenKyYmRikpKZo4cSK3rQIVUFhYqF27dmnTpk3atWsX61Ogxg0cOFB33nmngoKCNGDAAK1bt04nTpzQW2+9dcnnjI+Pl7u7u33z9fWtwogBoPYoLCxUYmKiQkJCNHv2bAUGBqpp06YKDAzU7NmzFRISooULF9K/40+dPn1aXbt2VUJCQqn1zzzzjF544QUtWrRI27ZtU7NmzTRgwADl5+fb24SHhys9PV0bNmzQ+++/r+TkZE2YMMFen5eXp/79+8vf3187duzQs88+q5kzZ2rx4sXVfn0AAJipXHOiS1L37t1lsVhksVjUt29fh8XCCgsLlZGRoVtuuaVagkT9Exoaqri4OCUmJioiIsJe7u3trbi4OIWGhpoYHVC3JCcnKzEx0WFEr81m06RJk/hbQrls2rRJmzZt0vHjx0vcIfTaa69d0jk9PDzUoUMHHThwQP369dPZs2d14sQJh9Ho2dnZpc6hXiw6OlpRUVH2/by8PBLpAOqltLQ0ZWVlafr06XJychzn5OTkpPDwcEVERCgtLU3du3c3KUrUdgMHDtTAgQNLrTMMQ/Pnz1dMTIyGDBki6cJUrV5eXlq7dq1GjBihb7/9VuvXr9fXX3+ta6+9VpL04osvatCgQXruuefk4+OjpKQknT17Vq+99ppcXFwUGBio1NRUzZ071yHZDgBAfVPukehDhw7VkCFDZBiGBgwYoCFDhti3ESNG6OWXX9aKFSuqM1bUQ4ZhOOyzcC1QMdz6jcqKi4tT//79tWnTJv3888/69ddfHbZLderUKR08eFDe3t4KDg5W48aNtWnTJnv9vn37lJmZqZCQkDLPYbVa5ebm5rABQH2Uk5MjSQoICCi1vri8uB1QURkZGcrKynJYn8Td3V09evSwr0+SkpIiDw8PewJdksLCwuTk5KRt27bZ24SGhsrFxcXeZsCAAdq3b1+l3jcAAFDblXskemxsrCTpiiuu0IgRI2S1WqstKNR/xYm/kJAQzZgxQwEBAcrIyFBSUpJiY2MZjQ6Uwx9v/S4euVZ863dMTIwWLlyoXr16MT0SyrRo0SItW7ZM9913X6XO88gjj2jw4MHy9/fX0aNHFRsbK2dnZ919991yd3fX2LFjFRUVJU9PT7m5uWnKlCkKCQlRz549q+hKAKDu8vT0lHQh0RkYGFiiPiMjw6EdUFHFdyx6eXk5lP9+fZKsrCy1adPGob5Ro0by9PR0aPPHL3uKz5mVlaXLLrus1McvKChQQUGBfZ91TgAAdU2F50Tv0qWLUlNTS5Rv27ZN27dvr4qYUM8x5yNQNYpv/Q4PDy/z1u9jx44pLS3NpAhRF5w9e1bXX399pc/z448/6u6771bHjh111113qWXLltq6datat24tSZo3b55uu+02DR8+XKGhobLZbFqzZk2lHxcA6oOgoCDZbDYlJSWVuDOzqKhISUlJ8vb2VlBQkEkRApXDOicAgLquwkn0iIgIHTlypET5f//7X4e5rYGykPgDqga3fqMqjBs3TitXrqz0eVatWqWjR4+qoKBAP/74o1atWqV27drZ611dXZWQkKCcnBydPn1aa9as+dP50AGgIXF2dtakSZOUkpKimJgYpaen68yZM0pPT1dMTIxSUlI0ceJE7izDJSvuc7Ozsx3Kf78+ic1m0/Hjxx3qz58/r5ycHIc2pZ3j949RmujoaOXm5tq30nIKAADUZuWezqXY3r17dc0115Qo7969u/bu3VslQaF+I/EHVA1u/UZVyM/P1+LFi7Vx40YFBQWpcePGDvVz5841KTIAaFhCQ0MVFxenxMREh8FJ3t7eTHWISgsICJDNZtOmTZvUrVs3SRemVNm2bZsmTpwoSQoJCdGJEye0Y8cOBQcHS5I++eQTFRUVqUePHvY206ZN07lz5+zvGTZs2KCOHTuWOZWLdGGdE6aEBQDUZRVOolutVmVnZ6tt27YO5ceOHVOjRhU+HRogEn9A1fj9rd+/nxNd4tZvlF9aWpr9w/SePXsc6iwWiwkRAUDDFRoaql69eiktLU05OTny9PRUUFAQI9BRLqdOndKBAwfs+xkZGUpNTZWnp6f8/Pz00EMPafbs2Wrfvr0CAgI0ffp0+fj4aOjQoZKkzp0765ZbbtH48eO1aNEinTt3TpMnT9aIESPk4+MjSbrnnnsUFxensWPH6vHHH9eePXu0YMECzZs3z4xLBgCgxlQ4692/f39FR0fr3Xfflbu7uyTpxIkT+sc//qF+/fpVeYCof0j8AVWj+Nbv2NhYxcTEKDw83GGR3pSUFMXFxfHBG3/q008/NTsEAMDvODs7q3v37maHgVrim2++0TXXXFOu9aK2b9+uPn362PejoqIkSaNGjdKyZcv02GOP6fTp05owYYJOnDihG264QevXr5erq6v9mKSkJE2ePFl9+/aVk5OThg8frhdeeMFe7+7uro8//lgREREKDg5Wq1atNGPGDE2YMKEKrxoAgNqnwkn05557TqGhofL397e/uUtNTZWXl5feeOONKg8Q9Q+JP9Q1+fn5yszMNDuMUtlsNj3wwANavXq1w63frVq10gMPPCCbzabvv//exAjL5ufn5/ChDQAAACUZhlGudr179/7TthaLRbNmzdKsWbPKbOPp6XnRtVKCgoL02WeflSsmAADqiwon0f/yl78oLS1NSUlJ+uabb9SkSRONHj1ad999d4l5VIGyMOcj6pLMzMw6N7rm559/1qJFi8wO408tXrxYHTp0MDuMBmnYsGFatmyZ3NzcNGzYsD9tu2bNmhqKCgCAhudi/XBubi7TqwEAUAtc0iTmzZo1q3MJJdQ+zPmIusLPz0+LFy82O4yLOnz4sObMmaNp06bJ39/f7HAuys/Pz+wQGix3d3f7B3I3Nzc+nAMAYJL33ntP/fr1k5eXV6n15ZnGBQAAVL9LSqK/8cYbevnll/XDDz8oJSVF/v7+mjdvntq2bashQ4ZUdYyox5jzEXWBq6trnRox7e/vX6fiRc1bunSp/edly5aZFwgAAA1c586dNXz4cI0dO7bU+tTUVL3//vs1HBUAAPgjp4s3cbRw4UJFRUVp4MCB+vXXX+3fjF922WWaP39+VccHAACq0c0336wTJ06UKM/Ly9PNN99c8wEBANCABAcHa+fOnWXWW61W7t4DAKAWqHAS/cUXX9Qrr7yiadOmqVGj/w1kv/baa7V79+4qDQ4AAFSvzZs36+zZsyXK8/PzWTQMAIBqtmjRIj377LNl1nfu3FkZGRk1GBEAAChNhadzycjIKHX6DavVqtOnT1dJUAAAoHqlpaXZf967d6+ysrLs+4WFhVq/fr3+8pe/mBEaAAANhtVqNTsEAABQDhVOogcEBCg1NbXEonXr169X586dqywwNAyFhYUsLAoAJujWrZssFossFkup07Y0adJEL774ogmRAQAAAABQu1Q4iR4VFaWIiAjl5+fLMAx99dVXevPNNxUfH69XX321OmJEPZWcnKzExESH0Y82m02TJk1SaGioiZEBQP2XkZEhwzDUtm1bffXVV2rdurW9zsXFRW3atOFLTQAATBYWFqYffvhBP/zwg9mhAADQoFU4iT5u3Dg1adJEMTExOnPmjO655x75+PhowYIFGjFiRHXEiHooOTlZsbGx6tmzp/72t7/JarWqoKBAX331lWJjYxUXF0ciHQCqUfEdZUVFRSZHAgBAw7Z161a99957Onv2rPr27atbbrnFXvd///d/+vnnn02MDgAASJewsKgkhYeHa//+/Tp16pSysrL0448/auzYsRU+T3x8vP7617+qRYsWatOmjYYOHap9+/Y5tMnPz1dERIRatmyp5s2ba/jw4crOzr6UsFFLFBYWKjExUR06dFBGRoYWLFigZ555RgsWLFBGRoY6dOighQsXqrCw0OxQAaDeW758uT744AP7/mOPPSYPDw9df/31Onz4sImRAQBQ//373/9Wr169tGDBAr366qu69dZb9dxzz9nrIyIiFBsba2KEAABAusQkerGmTZuqTZs2l3z8li1bFBERoa1bt2rDhg06d+6c+vfv77BAaWRkpN577z2tXr1aW7Zs0dGjRzVs2LDKhA2TpaWlKSsrS99//73atm2rhIQErVu3TgkJCWrbtq2+//57HTt2zGHROwBA9XjqqafUpEkTSVJKSopeeuklPfPMM2rVqpUiIyNNjg4AgPotPj5e48ePV25urn799VfNnj1bTz31lNlhAQCAP6hwEj07O1v33XeffHx81KhRIzk7OztsFbF+/Xrdf//9CgwMVNeuXbVs2TJlZmZqx44dkqTc3FwtWbJEc+fO1c0336zg4GAtXbpUX375pbZu3VrR0FFLFN+OeN1112n27NkKDAxU06ZNFRgYqNmzZ+u6665zaAcAqD5HjhzRlVdeKUlau3at7rjjDk2YMEHx8fH67LPPTI4OAID6bd++fXrkkUfsn6UffvhhnTx5UsePHzc5MgAA8HsVnhP9/vvvV2ZmpqZPny5vb29ZLJYqCyY3N1eS5OnpKUnasWOHzp07p7CwMHubTp06yc/PTykpKerZs2eJcxQUFKigoMC+n5eXV2XxoWqcOHFCknTjjTfKycnxexwnJyfdcMMN2rZtm70dAKD6NG/eXL/88ov8/Pz08ccfKyoqSpLk6uqq3377zeToAACo386cOSM3Nzf7vouLi1xdXXXq1KlK3fUNAACqVoWT6J9//rk+++wzdevWrUoDKSoq0kMPPaRevXrpqquukiRlZWXJxcVFHh4eDm29vLyUlZVV6nni4+MVFxdXpbGhahX/f3722WcaNGiQQyK9qKhIn3/+uUM7AED16devn8aNG6fu3bvr+++/16BBgyRJ6enpuuKKK8wNDgCqWH5+vjIzM80Oo97x8/OTq6ur2WHUWa+++qqaN29u3z9//ryWLVumVq1a2cumTp1qRmgAAOD/q3AS3dfXV4ZhVHkgERER2rNnjz2Beqmio6Pto+ikCyPRfX19KxseqlDxm8Ft27YpJiZG4eHhCggIUEZGhpKSkrRt2zaHdgCA6pOQkKCYmBgdOXJEb7/9tlq2bCnpwt1gd999t8nRAUDVyszM1IQJE8wOo95ZvHixOnToYHYYdZKfn59eeeUVhzKbzaY33njDvm+xWEiiAwBgsgon0efPn68nnnhCL7/8cpWNUJs8ebLef/99JScn6/LLL7eX22w2nT17VidOnHAYlZydnS2bzVbquaxWq6xWa5XEheoRFBQkm80md3d3HTx4UBEREfY6m82mjh07Ki8vT0FBQSZGCQANg4eHh1566aUS5dzVBaA+8vPz0+LFi80O46IOHz6sOXPmaNq0afL39zc7nIvy8/MzO4Q669ChQ2aHAAAAyqHCSfS//e1vOnPmjNq1a6emTZuqcePGDvU5OTnlPpdhGJoyZYreeecdbd68WQEBAQ71wcHBaty4sTZt2qThw4dLurDwSmZmpkJCQioaOmoJZ2dnTZo0SbGxserZs6dGjBghq9WqgoICffXVV9q6davi4uIqvFAtAKB80tLSdNVVV8nJyUlpaWl/2pYvNAHUJ66urnVqxLS/v3+dihcAAKC+uqSR6FUlIiJCK1eu1LvvvqsWLVrY5zl3d3dXkyZN5O7urrFjxyoqKkqenp5yc3PTlClTFBISUuqioqg7QkNDFRcXp8TERKWkpNjLvb29FRcXp9DQUBOjA4D6rVu3bsrKylKbNm3UrVs3WSwWh6naivctFosKCwtNjBQAgPrtk08+0eTJk7V161aHBUYlKTc3V9dff70WLlzI5yMAAExW4ST6qFGjquzBFy5cKEnq3bu3Q/nSpUt1//33S5LmzZsnJycnDR8+XAUFBRowYIASExOrLAaYJzQ0VL169VJaWppycnLk6empoKAgRqADQDXLyMhQ69at7T8DAABzzJ8/X+PHjy+RQJcuDC574IEHNG/ePJLoAACYrMJJdEkqLCzU2rVr9e2330qSAgMDdfvtt1c4+VmeBUpdXV2VkJCghISESwkVtZyzs7O6d+9udhgA0KD8fn7d6phr9+mnn1Z0dLT+/ve/2+9gy8/P18MPP6xVq1Y5fCnu5eVV5Y8PAEBd8c033+if//xnmfX9+/fXc889V4MRAQCA0jhV9IADBw6oc+fOGjlypNasWaM1a9bo3nvvVWBgoA4ePFgdMQIAgGqyfPlyffDBB/b9xx57TB4eHrr++ut1+PDhCp/v66+/1ssvv1xiLvXIyEi99957Wr16tbZs2aKjR49q2LBhlY4fAIC6LDs7u8Q6Y7/XqFEj/fTTTzUYEQAAKE2Fk+hTp05Vu3btdOTIEe3cuVM7d+5UZmamAgICNHXq1OqIEQAAVJOnnnpKTZo0kSSlpKTopZde0jPPPKNWrVopMjKyQuc6deqUwsPD9corr+iyyy6zl+fm5mrJkiWaO3eubr75ZgUHB2vp0qX68ssvtXXr1iq9HgAA6pK//OUv2rNnT5n1aWlp8vb2rsGIAABAaSqcRN+yZYueeeYZeXp62statmypp59+Wlu2bKnS4AAAQPU6cuSIrrzySknS2rVrdccdd2jChAmKj4/XZ599VqFzRURE6NZbb1VYWJhD+Y4dO3Tu3DmH8k6dOsnPz89hcek/KigoUF5ensMGAEB9MmjQIE2fPl35+fkl6n777TfFxsbqtttuMyEyAADwexWeE91qterkyZMlyk+dOiUXF5cqCQoAANSM5s2b65dffpGfn58+/vhjRUVFSbqwJslvv/1W7vOsWrVKO3fu1Ndff12iLisrSy4uLvLw8HAo9/LyUlZWVpnnjI+PV1xcXLljAACgromJidGaNWvUoUMHTZ48WR07dpQkfffdd0pISFBhYaGmTZtmcpQAAKDCSfTbbrtNEyZM0JIlS3TddddJkrZt26YHH3xQt99+e5UHCAAAqk+/fv00btw4de/eXd9//70GDRokSUpPT9cVV1xRrnMcOXJEf//737Vhwwa5urpWWWzR0dH2pL4k5eXlydfXt8rODwCA2by8vPTFF19o0qRJio6OlmEYkiSLxaIBAwYoISGBRbgBAKgFKpxEf+GFFzRq1CiFhITYF0A5f/68br/9di1YsKDKAwQAANUnISFBMTExOnLkiN5++221bNlS0oUpWO6+++5ynWPHjh06fvy4rrnmGntZYWGhkpOT9dJLL+mjjz7S2bNndeLECYfR6NnZ2bLZbGWe12q1ymq1XtqFAQBQR1xxxRVat26dfv31Vx04cECGYah9+/YO64sAAABzVTiJ7uHhoXfffVf79+/Xt99+K4vFos6dO9vnUwUAAHWHh4eHXnrppRLlFZlGpW/fvtq9e7dD2ejRo9WpUyc9/vjj8vX1VePGjbVp0yYNHz5ckrRv3z5lZmYqJCSkchcAAEAdNmbMmHK1e+2116o5EgAA8GcqnEQv1r59e3vi3GKxVFlAqDr5+fnKzMw0O4x6x8/Pr0qnKwAAs3322Wd6+eWX9cMPP2j16tX6y1/+ojfeeEMBAQG64YYbLnp8ixYtdNVVVzmUNWvWTC1btrSXjx07VlFRUfL09JSbm5umTJmikJAQ9ezZs1quCQCAumDZsmXy9/dX9+7d7VO5AACA2ueSkuhLlizRvHnztH//fkkXEuoPPfSQxo0bV6XBoXIyMzM1YcIEs8OodxYvXqwOHTqYHQYAVIm3335b9913n8LDw7Vz504VFBRIknJzc/XUU09p3bp1VfI48+bNk5OTk4YPH66CggINGDBAiYmJVXJuAADqqokTJ+rNN99URkaGRo8erXvvvVeenp5mhwUAAP6gwkn0GTNmaO7cufYRZJKUkpKiyMhIZWZmatasWVUeJC6Nn5+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"text/plain": [
"<Figure size 1500x1200 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n_cols = 3\n",
"n_rows = int(np.ceil(len(features) / n_cols))\n",
"\n",
"# Boxplots\n",
"fig, axes = plt.subplots(n_rows, n_cols, figsize=(5 * n_cols, 4 * n_rows))\n",
"axes = axes.flatten()\n",
"\n",
"for i, col in enumerate(X.columns):\n",
" sns.boxplot(x=y, y=X[col], ax=axes[i])\n",
" axes[i].set_title(f\"Boxplot of {col}\")\n",
" axes[i].set_xlabel(\"Class\")\n",
" axes[i].set_ylabel(col)\n",
"\n",
"for j in range(i + 1, len(axes)):\n",
" fig.delaxes(axes[j])\n",
"\n",
"fig.suptitle(\"Boxplots of (before tranformation)\", fontsize=16)\n",
"plt.tight_layout(rect=[0, 0, 1, 0.97])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "2eec1d6e",
"metadata": {},
"source": [
"we start by separating explicative features and target, and recode the latter the following way:\n",
"- `1` : sick patient (positive),\n",
"- `0` : healthy patient (negative).\n"
]
},
{
"cell_type": "markdown",
"id": "556f426b",
"metadata": {},
"source": [
"## Logarithmic transformation"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "af21af16",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1200x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 1500x1200 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1500x1200 with 9 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# List of variables we want to transform\n",
"variables_log = ['Insulin', 'HOMA', 'MCP.1', 'Resistin']\n",
"\n",
"# Comparison between regular and transformed data\n",
"for col in variables_log:\n",
" fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n",
"\n",
" # before transformation\n",
" axes[0].hist(X[col], bins=30, alpha=0.6, color='salmon', edgecolor='black')\n",
" axes[0].set_title(f\"{col} (before transformation)\")\n",
" axes[0].set_xlabel(col)\n",
" axes[0].set_ylabel(\"Fequency\")\n",
"\n",
" # after log1p transformation\n",
" transformed = np.log1p(X[col])\n",
" axes[1].hist(transformed, bins=30, alpha=0.6, color='steelblue', edgecolor='black')\n",
" axes[1].set_title(f\"{col} after transformation log({col} + 1)\")\n",
" axes[1].set_xlabel(f\"log1p({col})\")\n",
" axes[1].set_ylabel(\"Frequency\")\n",
"\n",
" plt.suptitle(f\"Comparaison between regular and transformed data : {col}\", fontsize=14)\n",
" plt.tight_layout(rect=[0, 0, 1, 0.93])\n",
" plt.show()\n",
"\n",
"# Transformation of X\n",
"X_transformed = X.copy()\n",
"for col in variables_log:\n",
" X_transformed[col + '_log'] = np.log1p(X[col])\n",
"X_transformed = X_transformed.drop(columns=variables_log)\n",
"\n",
"# Update list of features\n",
"features = X_transformed.columns.tolist()\n",
"\n",
"# Create transformed data\n",
"data2 = X_transformed.copy()\n",
"data2['Classification'] = y.values\n",
"\n",
"# Boxplots according to target class\n",
"\n",
"fig, axes = plt.subplots(n_rows, n_cols, figsize=(5 * n_cols, 4 * n_rows))\n",
"axes = axes.flatten()\n",
"\n",
"for i, col in enumerate(features):\n",
" sns.boxplot(x='Classification', y=col, data=data2, ax=axes[i])\n",
" axes[i].set_title(f\"Boxplot of {col}\")\n",
" axes[i].set_xlabel(\"Class\")\n",
" axes[i].set_ylabel(col)\n",
"\n",
"for j in range(i + 1, len(axes)):\n",
" fig.delaxes(axes[j])\n",
"\n",
"fig.suptitle(\"Boxplots according to class (after transformation)\", fontsize=16)\n",
"plt.tight_layout(rect=[0, 0, 1, 0.97])\n",
"plt.show()\n",
"\n",
"# Scatter plots jittered according to target class\n",
"\n",
"fig, axes = plt.subplots(n_rows, n_cols, figsize=(5 * n_cols, 4 * n_rows))\n",
"axes = axes.flatten()\n",
"\n",
"for i, col in enumerate(features):\n",
" for classe in [0, 1]:\n",
" values = data2[data2['Classification'] == classe][col]\n",
" jittered_y = np.random.normal(loc=classe, scale=0.02, size=values.shape)\n",
" axes[i].scatter(values, jittered_y, alpha=0.5, label=f\"Class {classe}\")\n",
" axes[i].set_title(f\"{col} (scatter jittered)\")\n",
" axes[i].legend()\n",
"\n",
"for j in range(i + 1, len(axes)):\n",
" fig.delaxes(axes[j])\n",
"\n",
"fig.suptitle(\"Scatter plots (jittered) according to class (after transformation)\", fontsize=16)\n",
"plt.tight_layout(rect=[0, 0, 1, 0.97])\n",
"plt.show()\n"
]
},
{
"cell_type": "markdown",
"id": "c582a520",
"metadata": {},
"source": [
"\n",
"### Objective of the transformation\n",
"\n",
"In order to ensure these variables are distributed more symmetrically and to reduce the impact of outliers, we have applied a logarithmic transformation using `log(x+1)`with the function `np.log1p`\n",
"\n",
"### Comparison\n",
"\n",
"We realise that the barplots are less steep and the distributions become more compact, closer to a normal distribution curve. The dataset is now more homogeneous and further standardisation will be more impactful. These graphics are a visual representation of the impact of the logarithmic transformation.\n",
"\n",
"### Updated dataset\n",
"\n",
"We have added the transformed features `Insulin_log`, `HOMA_log`, `MCP.1_log` and `Resistin_log` in favor of the old, less-balanced features.\n",
"\n",
"### Boxplots\n",
"The logarithmic transformation severly reduces the number of outliers.\n",
"\n",
"### Scatter plots jittered\n",
"The scatter plots show the datapoints are well and horizontally separated according to class.\n",
"\n",
"\n",
"### Conclusion\n",
"The logarithmic transformation has reduced the impact of outliers and stabilised the standard deviation by making the distribution more compact and centered around the mean."
]
},
{
"cell_type": "markdown",
"id": "184a592b",
"metadata": {},
"source": [
"## Standardisation (StandardScaler)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "6dbb4fee",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Index(['Age', 'BMI', 'Glucose', 'Leptin', 'Adiponectin', 'Insulin_log',\n",
" 'HOMA_log', 'MCP.1_log', 'Resistin_log'],\n",
" dtype='object')\n"
]
}
],
"source": [
"print(X_transformed.columns)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "4b77fbe5",
"metadata": {},
"outputs": [
{
"data": {
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" 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>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Age</th>\n",
" <td>1.493059e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>BMI</th>\n",
" <td>-6.121779e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Glucose</th>\n",
" <td>1.990745e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Leptin</th>\n",
" <td>1.339924e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Adiponectin</th>\n",
" <td>2.201304e-17</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Insulin_log</th>\n",
" <td>-2.277871e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>HOMA_log</th>\n",
" <td>-1.378208e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>MCP.1_log</th>\n",
" <td>-6.661338e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Resistin_log</th>\n",
" <td>3.292386e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean std\n",
"Age 1.493059e-16 1.004338\n",
"BMI -6.121779e-16 1.004338\n",
"Glucose 1.990745e-16 1.004338\n",
"Leptin 1.339924e-16 1.004338\n",
"Adiponectin 2.201304e-17 1.004338\n",
"Insulin_log -2.277871e-16 1.004338\n",
"HOMA_log -1.378208e-16 1.004338\n",
"MCP.1_log -6.661338e-16 1.004338\n",
"Resistin_log 3.292386e-16 1.004338"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\n",
"from sklearn.preprocessing import StandardScaler\n",
"\n",
"# Initialisation dof the scaler\n",
"scaler = StandardScaler()\n",
"scaler_orig = StandardScaler()\n",
"\n",
"# Standardisation of the transformed data\n",
"X_scaled = scaler.fit_transform(X_transformed)\n",
"X_scaled = pd.DataFrame(X_scaled, columns=X_transformed.columns, index=X_transformed.index)\n",
"X_scaled.describe().T[['mean', 'std']]"
]
},
{
"cell_type": "markdown",
"id": "0cdf1fb2",
"metadata": {},
"source": [
"We will also create standardised data without a logarithmic transformation to look at the impact of the logarithmic transformation on the model performance."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "4ca93d3a",
"metadata": {},
"outputs": [
{
"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>mean</th>\n",
" <th>std</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>Age</th>\n",
" <td>1.493059e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>BMI</th>\n",
" <td>-6.121779e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Glucose</th>\n",
" <td>1.990745e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Insulin</th>\n",
" <td>3.158393e-17</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>HOMA</th>\n",
" <td>1.990745e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Leptin</th>\n",
" <td>1.339924e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Adiponectin</th>\n",
" <td>2.201304e-17</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>Resistin</th>\n",
" <td>2.737274e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" <tr>\n",
" <th>MCP.1</th>\n",
" <td>-1.282499e-16</td>\n",
" <td>1.004338</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" mean std\n",
"Age 1.493059e-16 1.004338\n",
"BMI -6.121779e-16 1.004338\n",
"Glucose 1.990745e-16 1.004338\n",
"Insulin 3.158393e-17 1.004338\n",
"HOMA 1.990745e-16 1.004338\n",
"Leptin 1.339924e-16 1.004338\n",
"Adiponectin 2.201304e-17 1.004338\n",
"Resistin 2.737274e-16 1.004338\n",
"MCP.1 -1.282499e-16 1.004338"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Standardisation of the original data\n",
"X_scaled_orig = scaler_orig.fit_transform(X)\n",
"X_scaled_orig = pd.DataFrame(X_scaled_orig, columns=X.columns, index=X_transformed.index)\n",
"X_scaled_orig.describe().T[['mean', 'std']]"
]
},
{
"cell_type": "markdown",
"id": "3e525eb2",
"metadata": {},
"source": [
"### Objectif\n",
"\n",
"We want to center the variables around 0 and get their variance around 1 in order to approximate a gaussian distribution."
]
},
{
"cell_type": "markdown",
"id": "0dc8763f",
"metadata": {},
"source": [
"## Why use a Gaussian Naive Bayes?"
]
},
{
"cell_type": "markdown",
"id": "26514e2a",
"metadata": {},
"source": [
"The data of the features is continuous and non-binary. As such, we use a GaussianNB, the performance will nevertheless suffer as the features aren't all Normal distributed and the dimension is rather small, we cannot suppose normal distribution through size."
]
},
{
"cell_type": "markdown",
"id": "5fd9b3f0",
"metadata": {},
"source": [
"## Train/Test split for the evaluation "
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "d58417ad",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train : (92, 9) (92,)\n",
"Test : (24, 9) (24,)\n"
]
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"# Stratified split to conserve the distribution of the variables\n",
"X_transf_train, X_transf_test, y_transf_train, y_transf_test = train_test_split(\n",
" X_scaled, y,\n",
" test_size=0.2,\n",
" random_state=42,\n",
" stratify=y)\n",
"\n",
"print(\"Train :\", X_transf_train.shape, y_transf_train.shape)\n",
"print(\"Test :\", X_transf_test.shape, y_transf_test.shape)\n"
]
},
{
"cell_type": "markdown",
"id": "a53cc076",
"metadata": {},
"source": [
"A stratified split help preserve the original proportion of healthy and sick patients in train and test sample (to ensure the model isn't trained with an overbearing class)\n",
"The sets have the following size:\n",
"- **Training set** : 81 observations\n",
"- **Test set** : 24 observations\n",
"\n",
"This is a standard 80/20 split"
]
},
{
"cell_type": "markdown",
"id": "b8891271",
"metadata": {},
"source": [
"## Final evaluation on the dataset with transformed data"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "d26b8326",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy : 0.625\n",
"F1-score : 0.571\n",
"Recall : 0.462\n",
"\n",
"Classification Report with log-transformation:\n",
" precision recall f1-score support\n",
"\n",
" 0 0.56 0.82 0.67 11\n",
" 1 0.75 0.46 0.57 13\n",
"\n",
" accuracy 0.62 24\n",
" macro avg 0.66 0.64 0.62 24\n",
"weighted avg 0.66 0.62 0.62 24\n",
"\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.naive_bayes import GaussianNB\n",
"from sklearn.metrics import accuracy_score, f1_score, recall_score, classification_report, confusion_matrix\n",
"\n",
"#Initialize and train a Naive Bayes classifier\n",
"nb_classifier = GaussianNB()\n",
"nb_classifier.fit(X_transf_train, y_transf_train)\n",
"\n",
"# Make predictions on the test set\n",
"y_pred = nb_classifier.predict(X_transf_test)\n",
"\n",
"# Accuracy\n",
"accuracy = accuracy_score(y_transf_test, y_pred)\n",
"print(f\"Accuracy : {accuracy:.3f}\")\n",
"\n",
"# F1-score\n",
"f1 = f1_score(y_transf_test, y_pred)\n",
"print(f\"F1-score : {f1:.3f}\")\n",
"\n",
"# Recall\n",
"rec = recall_score(y_transf_test, y_pred)\n",
"print(f\"Recall : {rec:.3f}\")\n",
"\n",
"# Complete report\n",
"print(\"\\nClassification Report with log-transformation:\")\n",
"print(classification_report(y_transf_test, y_pred))\n",
"\n",
"## Confusion matrix\n",
"conf = sns.heatmap(confusion_matrix(y_true=y_transf_test, y_pred=y_pred), annot=True, cmap=\"Blues\", xticklabels=[\"Negatives\", \"Positives\"], yticklabels=[\"Negatives\", \"Positives\"])\n",
"conf.set_xlabel(\"Predictions\")\n",
"conf.set_ylabel(\"Test data\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0d666c0d",
"metadata": {},
"source": [
"We want to maximise the recall, even if it might compromise the accuracy: it is more important to find every sick patient than every healthy one. In our case, the model doesn't mark enough people as sick: only 6 out of the 13 sick patients are identified as such (46%)"
]
},
{
"cell_type": "markdown",
"id": "a2f654b0",
"metadata": {},
"source": [
"## Final evaluation on the dataset with only standardised data"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "9696c47f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train : (92, 9) (92,)\n",
"Test : (24, 9) (24,)\n"
]
}
],
"source": [
"# Stratified split to conserve the distribution of the variables\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X_scaled_orig, y,\n",
" test_size=0.2,\n",
" random_state=42,\n",
" stratify=y)\n",
"\n",
"print(\"Train :\", X_train.shape, y_train.shape)\n",
"print(\"Test :\", X_test.shape, y_test.shape)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "5eb2fd7c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy : 0.667\n",
"F1-score : 0.600\n",
"Recall : 0.462\n",
"\n",
"Classification Report without log-transformation :\n",
" precision recall f1-score support\n",
"\n",
" 0 0.59 0.91 0.71 11\n",
" 1 0.86 0.46 0.60 13\n",
"\n",
" accuracy 0.67 24\n",
" macro avg 0.72 0.69 0.66 24\n",
"weighted avg 0.73 0.67 0.65 24\n",
"\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Initialize and train a Naive Bayes classifier\n",
"nb_classifier = GaussianNB()\n",
"nb_classifier.fit(X_train, y_train)\n",
"\n",
"# Make predictions on the test set\n",
"y_pred = nb_classifier.predict(X_test)\n",
"\n",
"# Accuracy\n",
"accuracy = accuracy_score(y_test, y_pred)\n",
"print(f\"Accuracy : {accuracy:.3f}\")\n",
"\n",
"# F1-score\n",
"f1 = f1_score(y_test, y_pred)\n",
"print(f\"F1-score : {f1:.3f}\")\n",
"\n",
"# Recall\n",
"rec = recall_score(y_test, y_pred)\n",
"print(f\"Recall : {rec:.3f}\")\n",
"\n",
"# Complete report\n",
"print(\"\\nClassification Report without log-transformation :\")\n",
"print(classification_report(y_test, y_pred))\n",
"\n",
"## Confusion matrix\n",
"conf = sns.heatmap(confusion_matrix(y_true=y_test, y_pred=y_pred), annot=True, cmap=\"Blues\", xticklabels=[\"Negatives\", \"Positives\"], yticklabels=[\"Negatives\", \"Positives\"])\n",
"conf.set_xlabel(\"Predictions\")\n",
"conf.set_ylabel(\"Test data\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "7f72c4e0",
"metadata": {},
"source": [
"So while the recall is just as bad without the log-transformation, the overall f1-score and the precision is better."
]
},
{
"cell_type": "markdown",
"id": "a1595de0",
"metadata": {},
"source": [
"## ROC and AUC"
]
},
{
"cell_type": "markdown",
"id": "b70ca49b",
"metadata": {},
"source": [
"We get the follow ROC curve:"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "4845ebda",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Courbe ROC et AUC\n",
"from sklearn.metrics import roc_curve, auc\n",
"\n",
"fpr_transf, tpr_transf, thresholds = roc_curve(y_transf_test, y_pred)\n",
"roc_auc_transf = auc(fpr_transf, tpr_transf)\n",
"fpr, tpr, thresholds = roc_curve(y_test, y_pred)\n",
"roc_auc = auc(fpr, tpr)\n",
"\n",
"plt.figure(figsize=(8, 6))\n",
"plt.plot(fpr_transf, tpr_transf, label=f'AUC with log= {roc_auc_transf:.2f}', color='blue')\n",
"plt.scatter(fpr, tpr, label=f'AUC without log = {roc_auc:.2f}', color='green')\n",
"plt.plot([0, 1], [0, 1], linestyle='--', color='red')\n",
"plt.title(\"ROC curve with and without log-transformation\")\n",
"plt.xlabel(\"Rate of FP\")\n",
"plt.ylabel(\"Rate of TP\")\n",
"plt.grid(True)\n",
"plt.legend()\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "0ad43508",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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