Machine Learning Kurs im Rahmen der Studierendentage im SS 2023
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simple example of logistic regression with scikit-learn"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Read data \n",
"Data are from the [wikipedia article on logistic regression](https://en.wikipedia.org/wiki/Logistic_regression)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# data: 1. hours studies, 2. passed (0/1) \n",
"filename = \"https://www.physi.uni-heidelberg.de/~reygers/lectures/2021/ml/data/exam.txt\"\n",
"df = pd.read_csv(filename, engine='python', sep='\\s+')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"x_tmp = df['hours_studied'].values\n",
"x = np.reshape(x_tmp, (-1, 1))\n",
"y = df['passed'].values"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Fit the model"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"clf = LogisticRegression(penalty='none', fit_intercept=True)\n",
"clf.fit(x, y);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Calculate predictions"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"hours_studied_tmp = np.linspace(0., 6., 1000)\n",
"hours_studied = np.reshape(hours_studied_tmp, (-1, 1))\n",
"y_pred = clf.predict_proba(hours_studied)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot result"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"df.plot.scatter(x='hours_studied', y='passed')\n",
"plt.plot(hours_studied, y_pred[:,1])\n",
"plt.xlabel(\"preparation time in hours\", fontsize=14)\n",
"plt.ylabel(\"probability of passing exam\", fontsize=14)\n",
"plt.savefig(\"03_ml_basics_logistic_regression.pdf\")"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'C': 1.0,\n",
" 'class_weight': None,\n",
" 'dual': False,\n",
" 'fit_intercept': True,\n",
" 'intercept_scaling': 1,\n",
" 'l1_ratio': None,\n",
" 'max_iter': 100,\n",
" 'multi_class': 'auto',\n",
" 'n_jobs': None,\n",
" 'penalty': 'none',\n",
" 'random_state': None,\n",
" 'solver': 'lbfgs',\n",
" 'tol': 0.0001,\n",
" 'verbose': 0,\n",
" 'warm_start': False}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"clf.get_params()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Coefficient: [[1.50464522]]\n",
"Intercept: [-4.07771764]\n"
]
}
],
"source": [
"print('Coefficient: ', clf.coef_)\n",
"print('Intercept: ', clf.intercept_)"
]
}
],
"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": "3.8.5"
}
},
"nbformat": 4,
"nbformat_minor": 4
}