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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='http://www.pieriandata.com'><img src='../Pierian_Data_Logo.png'/></a>\n",
"___\n",
"<center><em>Copyright by Pierian Data Inc.</em></center>\n",
"<center><em>For more information, visit us at <a href='http://www.pieriandata.com'>www.pieriandata.com</a></em></center>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Multi-Class Logistic Regression\n",
"\n",
"Students often ask how to perform non binary classification with Logistic Regression. Fortunately, the process with scikit-learn is pretty much the same as with binary classification. To expand our understanding, we'll go through a simple data set, as well as seeing how to use LogisiticRegression with a manual GridSearchCV (instead of LogisticRegressionCV). Make sure to watch the video to understand the One-vs-all process that is occuring \"under the hood\"."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Imports"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Data\n",
"\n",
"We will work with the classic Iris Data Set. The Iris flower data set or Fisher's Iris data set is a multivariate data set introduced by the British statistician, eugenicist, and biologist Ronald Fisher in his 1936 paper The use of multiple measurements in taxonomic problems as an example of linear discriminant analysis.\n",
"\n",
"Full Details: https://en.wikipedia.org/wiki/Iris_flower_data_set"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('../DATA/iris.csv')"
]
},
{
"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</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" <th>species</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>setosa</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>setosa</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>setosa</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>setosa</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>setosa</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width species\n",
"0 5.1 3.5 1.4 0.2 setosa\n",
"1 4.9 3.0 1.4 0.2 setosa\n",
"2 4.7 3.2 1.3 0.2 setosa\n",
"3 4.6 3.1 1.5 0.2 setosa\n",
"4 5.0 3.6 1.4 0.2 setosa"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exploratory Data Analysis and Visualization\n",
"\n",
"Feel free to explore the data further on your own."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'pandas.core.frame.DataFrame'>\n",
"RangeIndex: 150 entries, 0 to 149\n",
"Data columns (total 5 columns):\n",
" # Column Non-Null Count Dtype \n",
"--- ------ -------------- ----- \n",
" 0 sepal_length 150 non-null float64\n",
" 1 sepal_width 150 non-null float64\n",
" 2 petal_length 150 non-null float64\n",
" 3 petal_width 150 non-null float64\n",
" 4 species 150 non-null object \n",
"dtypes: float64(4), object(1)\n",
"memory usage: 6.0+ KB\n"
]
}
],
"source": [
"df.info()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"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</th>\n",
" <th>sepal_width</th>\n",
" <th>petal_length</th>\n",
" <th>petal_width</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" <td>150.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>5.843333</td>\n",
" <td>3.054000</td>\n",
" <td>3.758667</td>\n",
" <td>1.198667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>0.828066</td>\n",
" <td>0.433594</td>\n",
" <td>1.764420</td>\n",
" <td>0.763161</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>4.300000</td>\n",
" <td>2.000000</td>\n",
" <td>1.000000</td>\n",
" <td>0.100000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>5.100000</td>\n",
" <td>2.800000</td>\n",
" <td>1.600000</td>\n",
" <td>0.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>5.800000</td>\n",
" <td>3.000000</td>\n",
" <td>4.350000</td>\n",
" <td>1.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>6.400000</td>\n",
" <td>3.300000</td>\n",
" <td>5.100000</td>\n",
" <td>1.800000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>7.900000</td>\n",
" <td>4.400000</td>\n",
" <td>6.900000</td>\n",
" <td>2.500000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" sepal_length sepal_width petal_length petal_width\n",
"count 150.000000 150.000000 150.000000 150.000000\n",
"mean 5.843333 3.054000 3.758667 1.198667\n",
"std 0.828066 0.433594 1.764420 0.763161\n",
"min 4.300000 2.000000 1.000000 0.100000\n",
"25% 5.100000 2.800000 1.600000 0.300000\n",
"50% 5.800000 3.000000 4.350000 1.300000\n",
"75% 6.400000 3.300000 5.100000 1.800000\n",
"max 7.900000 4.400000 6.900000 2.500000"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.describe()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"setosa 50\n",
"versicolor 50\n",
"virginica 50\n",
"Name: species, dtype: int64"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['species'].value_counts()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='species', ylabel='count'>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.countplot(df['species'])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='sepal_length', ylabel='sepal_width'>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='sepal_length',y='sepal_width',data=df,hue='species')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:xlabel='petal_length', ylabel='petal_width'>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.scatterplot(x='petal_length',y='petal_width',data=df,hue='species')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<seaborn.axisgrid.PairGrid at 0x2a1a26a4908>"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 804.75x720 with 20 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.pairplot(df,hue='species')"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<AxesSubplot:>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sns.heatmap(df.corr(),annot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Easily discover new plot types with a google search! Searching for \"3d matplotlib scatter plot\" quickly takes you to: https://matplotlib.org/3.1.1/gallery/mplot3d/scatter3d.html"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array(['setosa', 'versicolor', 'virginica'], dtype=object)"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df['species'].unique()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"from mpl_toolkits.mplot3d import Axes3D \n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"colors = df['species'].map({'setosa':0, 'versicolor':1, 'virginica':2})\n",
"ax.scatter(df['sepal_width'],df['petal_width'],df['petal_length'],c=colors);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Train | Test Split and Scaling"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [],
"source": [
"X = df.drop('species',axis=1)\n",
"y = df['species']"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.model_selection import train_test_split\n",
"from sklearn.preprocessing import StandardScaler"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {},
"outputs": [],
"source": [
"X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.25, random_state=101)"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {},
"outputs": [],
"source": [
"scaler = StandardScaler()"
]
},
{
"cell_type": "code",
"execution_count": 79,
"metadata": {},
"outputs": [],
"source": [
"scaled_X_train = scaler.fit_transform(X_train)\n",
"scaled_X_test = scaler.transform(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Multi-Class Logistic Regression Model"
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.linear_model import LogisticRegression"
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.model_selection import GridSearchCV"
]
},
{
"cell_type": "code",
"execution_count": 96,
"metadata": {},
"outputs": [],
"source": [
"# Depending on warnings you may need to adjust max iterations allowed \n",
"# Or experiment with different solvers\n",
"log_model = LogisticRegression(solver='saga',multi_class=\"ovr\",max_iter=5000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### GridSearch for Best Hyper-Parameters\n",
"\n",
"Main parameter choices are regularization penalty choice and regularization C value."
]
},
{
"cell_type": "code",
"execution_count": 97,
"metadata": {},
"outputs": [],
"source": [
"# Penalty Type\n",
"penalty = ['l1', 'l2']\n",
"\n",
"# Use logarithmically spaced C values (recommended in official docs)\n",
"C = np.logspace(0, 4, 10)"
]
},
{
"cell_type": "code",
"execution_count": 98,
"metadata": {},
"outputs": [],
"source": [
"grid_model = GridSearchCV(log_model,param_grid={'C':C,'penalty':penalty})"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"GridSearchCV(estimator=LogisticRegression(max_iter=5000, multi_class='ovr',\n",
" solver='saga'),\n",
" param_grid={'C': array([1.00000000e+00, 2.78255940e+00, 7.74263683e+00, 2.15443469e+01,\n",
" 5.99484250e+01, 1.66810054e+02, 4.64158883e+02, 1.29154967e+03,\n",
" 3.59381366e+03, 1.00000000e+04]),\n",
" 'penalty': ['l1', 'l2']})"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid_model.fit(scaled_X_train,y_train)"
]
},
{
"cell_type": "code",
"execution_count": 100,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'C': 7.742636826811269, 'penalty': 'l1'}"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"grid_model.best_params_"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Model Performance on Classification Tasks"
]
},
{
"cell_type": "code",
"execution_count": 101,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import accuracy_score,confusion_matrix,classification_report,plot_confusion_matrix"
]
},
{
"cell_type": "code",
"execution_count": 102,
"metadata": {},
"outputs": [],
"source": [
"y_pred = grid_model.predict(scaled_X_test)"
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.9736842105263158"
]
},
"execution_count": 103,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"accuracy_score(y_test,y_pred)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[10, 0, 0],\n",
" [ 0, 17, 0],\n",
" [ 0, 1, 10]], dtype=int64)"
]
},
"execution_count": 104,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"confusion_matrix(y_test,y_pred)"
]
},
{
"cell_type": "code",
"execution_count": 108,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<sklearn.metrics._plot.confusion_matrix.ConfusionMatrixDisplay at 0x2a1a83ac0c8>"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_confusion_matrix(grid_model,scaled_X_test,y_test)"
]
},
{
"cell_type": "code",
"execution_count": 109,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<sklearn.metrics._plot.confusion_matrix.ConfusionMatrixDisplay at 0x2a1a843ac48>"
]
},
"execution_count": 109,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Scaled so highest value=1\n",
"plot_confusion_matrix(grid_model,scaled_X_test,y_test,normalize='true')"
]
},
{
"cell_type": "code",
"execution_count": 110,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" precision recall f1-score support\n",
"\n",
" setosa 1.00 1.00 1.00 10\n",
" versicolor 0.94 1.00 0.97 17\n",
" virginica 1.00 0.91 0.95 11\n",
"\n",
" accuracy 0.97 38\n",
" macro avg 0.98 0.97 0.97 38\n",
"weighted avg 0.98 0.97 0.97 38\n",
"\n"
]
}
],
"source": [
"print(classification_report(y_test,y_pred))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Evaluating Curves and AUC\n",
"\n",
"**Make sure to watch the video on this! We need to manually create the plots for a Multi-Class situation. Fortunately, Scikit-learn's documentation already has plenty of examples on this.**\n",
"\n",
"Source: https://scikit-learn.org/stable/auto_examples/model_selection/plot_roc.html"
]
},
{
"cell_type": "code",
"execution_count": 116,
"metadata": {},
"outputs": [],
"source": [
"from sklearn.metrics import roc_curve, auc"
]
},
{
"cell_type": "code",
"execution_count": 122,
"metadata": {},
"outputs": [],
"source": [
"def plot_multiclass_roc(clf, X_test, y_test, n_classes, figsize=(5,5)):\n",
" y_score = clf.decision_function(X_test)\n",
"\n",
" # structures\n",
" fpr = dict()\n",
" tpr = dict()\n",
" roc_auc = dict()\n",
"\n",
" # calculate dummies once\n",
" y_test_dummies = pd.get_dummies(y_test, drop_first=False).values\n",
" for i in range(n_classes):\n",
" fpr[i], tpr[i], _ = roc_curve(y_test_dummies[:, i], y_score[:, i])\n",
" roc_auc[i] = auc(fpr[i], tpr[i])\n",
"\n",
" # roc for each class\n",
" fig, ax = plt.subplots(figsize=figsize)\n",
" ax.plot([0, 1], [0, 1], 'k--')\n",
" ax.set_xlim([0.0, 1.0])\n",
" ax.set_ylim([0.0, 1.05])\n",
" ax.set_xlabel('False Positive Rate')\n",
" ax.set_ylabel('True Positive Rate')\n",
" ax.set_title('Receiver operating characteristic example')\n",
" for i in range(n_classes):\n",
" ax.plot(fpr[i], tpr[i], label='ROC curve (area = %0.2f) for label %i' % (roc_auc[i], i))\n",
" ax.legend(loc=\"best\")\n",
" ax.grid(alpha=.4)\n",
" sns.despine()\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x720 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plot_multiclass_roc(grid_model, scaled_X_test, y_test, n_classes=3, figsize=(16, 10))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"------\n",
"------"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
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