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breast-cancer-detection/naive_bayes.ipynb
2025-06-06 15:39:45 +02:00

984 lines
896 KiB
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{
"cells": [
{
"cell_type": "markdown",
"id": "8797cb42",
"metadata": {},
"source": [
"## First view of the data"
]
},
{
"cell_type": "code",
"execution_count": 37,
"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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"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": 38,
"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": 39,
"id": "14be5c48",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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dTt1yyy1yOp0qKCjgOicAAAAmYzsXAADQ5P7973/rq6++UlhYWJ1jAgICFBAQ0ISpAMBcXOcEAACgeaKIDgAALtnx48e9VpUXFBRo165dCgkJUUhIiFJTUzV+/HjZbDYdPHhQDz30kK644grFx8ebmBoAmh+ucwIAAND8UEQHAACX7IMPPtDw4cM9x3PmzJEkTZ48WVlZWcrPz9fKlStVWlqq8PBw3XTTTXrsscdYaQ4AAAAAaPYoogMAgLOUlpbqhRde0IwZMy5o/LBhw2QYRp39mzZtaqhoAAAAAAA0qXpdWLS4uFh33XWXwsPD1aZNG1mtVq8bAADwTTk5ObrjjjsUFhYml8tldhwAAAAAAExXr5XoU6ZMUWFhoVJSUhQWFiaLxdLQuQAAQBM5fPiwli9fruXLl6uwsFATJ07UunXrNHLkSLOjAQCAC1RRUaHf/va3ysnJ0RdffKHq6mqv/s8++8ykZAAA+L56FdHfeecd/f3vf9eAAQMaOA4AAGgKp0+f1vr16/WnP/1Jf//733XzzTfriSee0KRJkzR37lxdddVVZkcEAAAX4b777tO2bdt01113sdgNAIAGVq8ies+ePc+57ykAAGjevve976lv37668847tWbNGnXp0kWSNGnSJJOTAQCA+njzzTf1+uuvKyYmxuwoAAC0OPXaE33x4sV6+OGH9fnnnzdwHAAA0BS++eYbWSwWWSwWrmcCAEAL0KVLF4WEhJgdAwCAFqleRfSf/exn2rp1q77//e+rU6dOCgkJ8boBAIDm7ciRI5o2bZr+/Oc/y2azafz48Vq3bh0f/QYAwEc99thjevTRR3XixAmzowAA0OLUazuXxYsXN3AMAADQlAIDA5WQkKCEhAQdPHhQy5cv1wMPPKBvvvlGCxYs0JQpUzRixAhWqQMA4COefPJJHTx4UKGhobr88svVtm1br/4PP/zQpGQAAPi+ehXRJ0+e3NA5AACASb7//e8rLS1N8+fP16ZNm7Rs2TLddttt6tSpk7788kuz4wEAgAswduxYsyMAANBiXXARvby8XEFBQZ6vz6VmHAAA8B1+fn4aNWqURo0apf/+9796/vnnzY4EAK2O2+1Wfn6+SkpKFBISIrvdzqeCcEFcLpfZEQAAaLEuuIjepUsXHT16VN27d1fnzp1r3TPVMAxZLBa53e4GDQkAAJpWt27dNGfOHLNjAECrkpubq8zMTBUVFXnabDabEhMTFRsba2IyAACA1u2Ci+hvv/2256KhW7ZsabRAAACg8fXq1euCxn322WeNnAQAIJ0poLtcLjkcDqWkpCgqKkoFBQXKzs6Wy+VSamoqhXScJSQkRJ988okuu+wydenS5ZwXCC8pKWnCZAAAtCwXXES/8cYba/0aAAD4ns8//1yRkZG644471L17d7PjAECr5na7lZmZKYfDobS0NPn5+UmSoqOjlZaWpuTkZGVlZSkmJoatXeBl0aJF6tSpk+frcxXRAQBA/V1wET0/P/+CT2q32+sVBgAANI2//OUveu655/TUU09p1KhRuvfee3XLLbd4CjcAgKaTn5+voqIipaSknPV72M/PTwkJCXI6ncrPz9fAgQNNSonmaPLkyZ6vp0yZYl4QAABauAsuog8YMEAWi0WGYZxzHHuiAwDQ/E2YMEETJkzQf/7zH61YsUKzZ8/W/fffr7vuuktTp05V7969zY4IAK1GzTYbUVFRtfbXtLMdB87FarV6rmP2bV999ZW6d+/O63QAAC7BBRfRCwoKGjMHAAAwwfe+9z3NnTtXc+fO1bZt2zRv3jw98cQT+vLLL9WlSxez4wFAq1Bz7amCggJFR0ef1V/zWqxmHFCbuha8VVVVyd/fv4nTAADQslxwET0yMrIxcwAAAJNUVlbqpZde0nPPPacdO3ZowoQJat++vdmxAKDVsNvtstlsys7O9toTXZKqq6uVnZ2tsLAwts1ErZ5++mlJZz4V/qc//UkdO3b09LndbuXm5qpv375mxQMAoEW44CL6t61ateqc/XffffcFnScrK0tZWVn6/PPPJZ25cM6jjz6qUaNGSTrzov6Xv/yl1qxZo6qqKsXHxyszM1OhoaH1iQ0AAL5lx44dWrZsmV588UX16tVL9957r/7617+yAh0AmpjValViYqJcLpeSk5OVkJCgqKgoFRQUKDs7W3l5eUpNTeWioqjVokWLJJ1Zif7ss896/Tvx9/fX5ZdfrmeffdaseAAAtAj1KqL/4he/8Do+ffq0Tpw4IX9/f7Vv3/6Ci+g9evTQb3/7W/Xu3VuGYWjlypUaM2aMPvroI0VHR2v27Nl6/fXXtXbtWgUHB2vGjBkaN26c3n333frEBgAA/190dLS++OIL3XHHHdq2bZuuueYasyMBQKsWGxur1NRUZWZmyul0etrDwsKUmpqq2NhYE9OhOavZ7mf48OF6+eWXeTMcAIBGUK8i+tdff31W26effqrp06frV7/61QWfZ/To0V7HCxYsUFZWlrZv364ePXpo2bJlWr16tUaMGCFJWr58ufr166ft27dryJAh9YkOABetsrJShYWFZsdocSIiIhQYGGh2jFbrX//6lzp06KBVq1bp+eefr3McF7EDgKYTGxurmJgY5efnq6SkRCEhIbLb7axAxwXZsmWL5+ua/dEtFotZcQAAaFHqVUSvTe/evfXb3/5Wd955pz7++OOLvr/b7dbatWtVUVEhh8OhnTt36vTp04qLi/OM6du3ryIiIpSXl1dnEb2qqkpVVVWe4/Ly8ot/MADwLYWFhZo2bZrZMVqcJUuWqE+fPmbHaLWWL19udgQAQC2sVqsGDhxodgz4qGXLlmnRokX69NNPJZ15nT5r1izdd999JicDAMC3NVgRXZLatGmjI0eOXNR9du/eLYfDocrKSnXs2FHr1q3TVVddpV27dsnf31+dO3f2Gh8aGqqioqI6z5eenq7U1NT6xAeAWkVERGjJkiVmxzivQ4cOacGCBZo7d65PXAw6IiLC7Ait2uTJk82OAAAAGtCjjz6qp556SjNnzpTD4ZAk5eXlafbs2SosLNT8+fNNTggAgO+qVxH9lVde8To2DENHjx7VM888o5iYmIs615VXXqldu3aprKxML730kiZPnqxt27bVJ5YkKSkpSXPmzPEcl5eXq2fPnvU+HwAEBgb61IrpyMhIn8oLc508eVKbN2/WJ598IunMvBwXF6d27dqZnAwAAFyMrKwsLV26VJMmTfK0/fjHP5bdbtfMmTMpogMAcAnqVUQfO3as17HFYlG3bt00YsQIPfnkkxd1Ln9/f11xxRWSpEGDBun999/X73//e/3sZz/TqVOnVFpa6rUavbi4WDabrc7zBQQEKCAg4KIyAADQGr3yyiu677779OWXX3q1X3bZZVq2bNlZ1y4BAADN1+nTp3Xttdee1T5o0CB98803JiQCAKDl8KvPnaqrq71ubrdbRUVFWr16tcLCwi4pUHV1taqqqjRo0CC1bdtWOTk5nr79+/ersLDQ89E0AABQP//4xz90++23KzY2Vu+++65KSkpUUlKid955RzfccINuv/12bd++3eyYAADgAt11113Kyso6q33JkiVKSEgwIREAAC1Hg+yJ7na7tXv3bkVGRqpLly4XfL+kpCSNGjVKEREROnbsmFavXq2tW7dq06ZNCg4O1tSpUzVnzhyFhIQoKCjIs7dbXRcVBQAAFyYtLU333HOP/vjHP3q1X3/99br++ut1//33a/78+XrjjTdMSggAAC7WsmXL9Le//c3zmnnHjh0qLCzU3Xff7bXt6VNPPWVWRAAAfFK9iuizZs3S1VdfralTp8rtdis2NlZ5eXlq3769XnvtNQ0bNuyCzvPFF1/o7rvv1tGjRxUcHCy73a5NmzbpRz/6kSRp0aJF8vPz0/jx41VVVaX4+HhlZmbWJzIAAPiW7du36/HHH6+z3+l06sYbb2zCRAAA4FLs2bNHP/jBDyRJBw8elHRmi7bLLrtMe/bs8YyzWCym5AMAwJfVq4j+0ksv6c4775Qkvfrqq/r888/18ccf6/nnn9fcuXP17rvvXtB5li1bds7+wMBAZWRkKCMjoz4xAQBAHU6ePKmgoKA6+4ODg1VZWdmEiQAAwKXYsmWL2REAAGix6rUn+pdffum5uOcbb7yhCRMmqE+fPrr33nu1e/fuBg0IAAAaXu/evfX222/X2Z+Tk6PevXs3YSIAANAQDhw4oE2bNunkyZOSJMMwTE4EAIDvq1cRPTQ0VPv27ZPb7dbGjRs926+cOHFCVqu1QQMCAICGd8899+jBBx+sdc/z119/XQ899JCmTJnS9MEAAEC9fPXVVxo5cqT69OmjW265RUePHpUkTZ06Vb/85S9NTgcAgG+rVxH9nnvu0U9/+lP1799fFotFcXFxks5ctKRv374NGhAAADS8X/ziFxoxYoRuu+029evXT+PGjdNPfvIT9e3bVz/+8Y914403atasWWbHBAAAF2j27Nlq27atCgsL1b59e0/7z372M23cuNHEZAAA+L567Yk+b9489e/fX4cPH9aECRMUEBAgSbJarXr44YcbNCAAAGh4fn5+Wrt2rf7yl79o9erV+vjjjyVJffv21bx58zRx4kSTEwIAgIvxt7/9TZs2bVKPHj282nv37q1Dhw6ZlAoAgJahXkV0Sbr99tvPaps8efIlhQEAAE2jvLxckjRq1CiNGjWqzv5zXXwUAAA0HxUVFV4r0GuUlJR4Fr4BAID6qXcRPScnRzk5Ofriiy9UXV3t1ffcc89dcjAAANB4OnfuLIvFUme/YRiyWCxyu91NmAoAANTXDTfcoFWrVumxxx6TJFksFlVXV2vhwoUaNmyYueEAAPBx9Sqip6amav78+br22msVFhZ2zhfhwLm43W7l5+erpKREISEhstvtXJwWAJrAli1bPF8bhqFbbrlFf/rTn/S9733PxFQAAKC+Fi5cqJEjR+qDDz7QqVOn9NBDD2nv3r0qKSnRu+++a3Y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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": 40,
"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": 41,
"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": 42,
"id": "4b77fbe5",
"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>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": 42,
"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": 43,
"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": 43,
"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.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": 44,
"id": "d58417ad",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train : (81, 9) (81,)\n",
"Test : (35, 9) (35,)\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=0.3,\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** : 35 observations\n",
"\n",
"This is a standard 70/30 split"
]
},
{
"cell_type": "markdown",
"id": "b8891271",
"metadata": {},
"source": [
"## Final evaluation on the dataset with transformed data"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "d26b8326",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy : 0.714\n",
"F1-score : 0.688\n",
"Recall : 0.579\n",
"\n",
"Classification Report with log-transformation:\n",
" precision recall f1-score support\n",
"\n",
" 0 0.64 0.88 0.74 16\n",
" 1 0.85 0.58 0.69 19\n",
"\n",
" accuracy 0.71 35\n",
" macro avg 0.74 0.73 0.71 35\n",
"weighted avg 0.75 0.71 0.71 35\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 8 out of the 19 sick patients are identified as such (58%)"
]
},
{
"cell_type": "markdown",
"id": "a2f654b0",
"metadata": {},
"source": [
"## Final evaluation on the dataset with only standardised data"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "9696c47f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Train : (81, 9) (81,)\n",
"Test : (35, 9) (35,)\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=0.3,\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": 47,
"id": "5eb2fd7c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Accuracy : 0.686\n",
"F1-score : 0.621\n",
"Recall : 0.474\n",
"\n",
"Classification Report without log-transformation :\n",
" precision recall f1-score support\n",
"\n",
" 0 0.60 0.94 0.73 16\n",
" 1 0.90 0.47 0.62 19\n",
"\n",
" accuracy 0.69 35\n",
" macro avg 0.75 0.71 0.68 35\n",
"weighted avg 0.76 0.69 0.67 35\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 the performance is worse without the logarithmic transformation, underlining the utility of said transformation."
]
},
{
"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": 48,
"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
}