Machine Learning Kurs im Rahmen der Studierendentage im SS 2023
You can not select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
 

367 lines
107 KiB

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Simple classification example: the iris dataset"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"from sklearn import datasets\n",
"from sklearn.model_selection import train_test_split\n",
"from sklearn.metrics import classification_report\n",
"from sklearn.metrics import accuracy_score\n",
"from sklearn.metrics import confusion_matrix"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# import some data to play with\n",
"# columns: Sepal Length, Sepal Width, Petal Length and Petal Width\n",
"iris = datasets.load_iris()\n",
"X = iris.data\n",
"y = iris.target"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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>Sepal Length (cm)</th>\n",
" <th>Sepal Width (cm)</th>\n",
" <th>Petal Length (cm)</th>\n",
" <th>Petal Width (cm)</th>\n",
" <th>category</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>5.1</td>\n",
" <td>3.5</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>4.9</td>\n",
" <td>3.0</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>4.7</td>\n",
" <td>3.2</td>\n",
" <td>1.3</td>\n",
" <td>0.2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>4.6</td>\n",
" <td>3.1</td>\n",
" <td>1.5</td>\n",
" <td>0.2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>5.0</td>\n",
" <td>3.6</td>\n",
" <td>1.4</td>\n",
" <td>0.2</td>\n",
" <td>0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Sepal Length (cm) Sepal Width (cm) Petal Length (cm) Petal Width (cm) \\\n",
"0 5.1 3.5 1.4 0.2 \n",
"1 4.9 3.0 1.4 0.2 \n",
"2 4.7 3.2 1.3 0.2 \n",
"3 4.6 3.1 1.5 0.2 \n",
"4 5.0 3.6 1.4 0.2 \n",
"\n",
" category \n",
"0 0 \n",
"1 0 \n",
"2 0 \n",
"3 0 \n",
"4 0 "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# just to create a nice table\n",
"df = pd.DataFrame({\"Sepal Length (cm)\": X[:,0], \"Sepal Width (cm)\": X[:,1], \n",
" 'Petal Length (cm)': X[:,2], 'Petal Width (cm)': X[:,3], \n",
" 'category': y})\n",
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"['setosa', 'versicolor', 'virginica']"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"list(iris.target_names)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"# split data into training and test data sets\n",
"x_train, x_test, y_train, y_test = train_test_split(X, y, test_size=0.5, random_state=42)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Petal width')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1000x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plot with color code\n",
"plt.subplots(1, 2, figsize=(10, 5))\n",
"\n",
"plt.subplot(1, 2, 1)\n",
"plt.scatter(X[:, 0], X[:, 1], c=y, edgecolor='k')\n",
"plt.xlabel('Sepal length')\n",
"plt.ylabel('Sepal width')\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.scatter(X[:, 2], X[:, 3], c=y, edgecolor='k')\n",
"plt.xlabel('Petal length')\n",
"plt.ylabel('Petal width')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Softmax regression"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression\n",
"log_reg = LogisticRegression(multi_class='multinomial', penalty='none')\n",
"log_reg.fit(x_train, y_train);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## k-nearest neighbor"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.neighbors import KNeighborsClassifier\n",
"kn_neigh = KNeighborsClassifier(n_neighbors=5)\n",
"kn_neigh.fit(x_train, y_train);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Fisher linear discriminant"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n",
"fisher_ld = LinearDiscriminantAnalysis()\n",
"fisher_ld.fit(x_train, y_train);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Classification accuracy"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LogisticRegression\n",
"accuracy: 0.96\n",
"[[29 0 0]\n",
" [ 0 23 0]\n",
" [ 0 3 20]] \n",
"\n",
"KNeighborsClassifier\n",
"accuracy: 0.95\n",
"[[29 0 0]\n",
" [ 0 23 0]\n",
" [ 0 4 19]] \n",
"\n",
"LinearDiscriminantAnalysis\n",
"accuracy: 0.99\n",
"[[29 0 0]\n",
" [ 0 23 0]\n",
" [ 0 1 22]] \n",
"\n"
]
}
],
"source": [
"for clf in [log_reg, kn_neigh, fisher_ld]:\n",
" y_pred = clf.predict(x_test)\n",
" acc = accuracy_score(y_test, y_pred)\n",
" print(type(clf).__name__)\n",
" print(f\"accuracy: {acc:0.2f}\")\n",
" \n",
" # confusion matrix: columns: true class, row: predicted class\n",
" print(confusion_matrix(y_test, y_pred),\"\\n\")"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" 0 1.00 1.00 1.00 29\n",
" 1 0.88 1.00 0.94 23\n",
" 2 1.00 0.87 0.93 23\n",
"\n",
" accuracy 0.96 75\n",
" macro avg 0.96 0.96 0.96 75\n",
"weighted avg 0.96 0.96 0.96 75\n",
"\n"
]
}
],
"source": [
"y_pred = log_reg.predict(x_test)\n",
"print(classification_report(y_test, y_pred))"
]
}
],
"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": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 4
}