Skip to content
Snippets Groups Projects

Update 4_validation_model.ipynb

Closed Update 4_validation_model.ipynb
patch-4 into master
Closed de Hond requested to merge patch-4 into master
Viewing commit fd22348a
Show latest version
1 file
+ 499
− 0
Compare changes
  • Side-by-side
  • Inline
4_validation_model.ipynb
+ 499
− 0
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Validation \n",
"In the first part of this tutorial we will learn how to validate your model. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd # data processing\n",
"import numpy as np # linear algebra\n",
"import matplotlib.pyplot as plt # data vizualisation\n",
"import seaborn as sns # data vizualisation\n",
"import sklearn # machine learning \n",
"from sklearn.model_selection import train_test_split # split data\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn import preprocessing\n",
"import keras # AI modelsimport pandas as pd # data processing\n",
"import numpy as np # linear algebra\n",
"import matplotlib.pyplot as plt # data vizualisation\n",
"import seaborn as sns # data vizualisation\n",
"import sklearn # machine learning \n",
"from sklearn.model_selection import train_test_split # split data\n",
"from sklearn.model_selection import GridSearchCV\n",
"from sklearn import preprocessing\n",
"import keras # AI models"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# TODO\n",
"We use the random forest model from the previous practicum. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def splits_data():\n",
" #read in the data\n",
" data = pd.read_csv('../../Onderwijs/workshop/data_clean.csv')\n",
" #data = pd.read_csv('heart_cleveland_upload.csv')\n",
"\n",
" # split data in X and y\n",
" X = data.drop(labels=['condition'], axis=1)\n",
" y = data['condition'].values\n",
"\n",
" # Splits the data in train, validation and test using a stratified split\n",
" # We will use the test set to determine the overall performance of the model\n",
" X, X_test, y, y_test = train_test_split(X, y, test_size = 0.2, random_state = 42, shuffle=True, stratify = y)"
]
},
{
"cell_type": "code",
"execution_count": 119,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "Best params: {'model__class_weight': None, 'model__max_depth': 20, 'model__n_estimators': 300}\n"
}
],
"source": [
"from sklearn.pipeline import Pipeline\n",
"from sklearn.compose import ColumnTransformer\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.preprocessing import OneHotEncoder\n",
"from sklearn.ensemble import RandomForestClassifier \n",
"\n",
"# Get the data\n",
"data = pd.read_csv('../../Onderwijs/workshop/data_clean.csv')\n",
"\n",
"# Split data in X and y\n",
"X = data.drop(labels=['condition'], axis=1)\n",
"y = data['condition'].values\n",
"\n",
"# Split the data in train, validation and test using a stratified split\n",
"# We will use the test set to determine the overall performance of the model\n",
"X, X_test, y, y_test = train_test_split(X, y, test_size = 0.2, random_state = 42, shuffle=True, stratify = y)\n",
"\n",
"# Define the transformation\n",
"ct = ColumnTransformer(\n",
" # name, transformation, column list\n",
" [('num', StandardScaler(), ['age','trestbps','chol','thalach','oldpeak']),\n",
" ('cat', OneHotEncoder(drop='first',categories='auto'), ['sex','cp','fbs','restecg','exang','slope','ca','thal'])]\n",
" )\n",
"\n",
"# Make pipeline with 1. column transformations 2. model\n",
"pipeline = Pipeline([\n",
" ('column_transform', ct),\n",
" ('model', RandomForestClassifier())\n",
" ])\n",
"\n",
"# Define hyper paramters over which to search\n",
"param_grid = {'model__n_estimators':[50, 100, 150, 200, 250, 300], # number of trees in the forest\n",
" 'model__max_depth': [5, 10, 20], # maximum depth of a tree\n",
" 'model__class_weight': [None, 'balanced']} # define your parameters\n",
"scoring = ['accuracy'] # define the scoring value\n",
"\n",
"# give the data pipeline to the parameter optimalisation\n",
"# the model is included in the pipeline\n",
"clf = GridSearchCV(estimator=pipeline, param_grid=param_grid, cv = 5, verbose=0)\n",
"\n",
"#perform the grid search and model on the data\n",
"clf.fit(X, y) \n",
"print('Best params: ', clf.best_params_)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the cell above we trained a random forrest model on our training data. We need to assess its performance in new unseen data. For this, we will use the test set that we kept separate. Remember, in the performance assessment we focus on the test data to prevent overfitting.\n",
"\n",
"First, for each individual in the test data we predict whether or not they have the condition. "
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [],
"source": [
"# Predict for the individuals in the test set whether or not they have the condition\n",
"probabilities = clf.predict_proba(X_test)\n",
"predictions = clf.predict(X_test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Are the predictions what you would expect based on the rest of the data? Run the cell below."
]
},
{
"cell_type": "code",
"execution_count": 121,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": " age sex cp trestbps chol fbs restecg thalach exang oldpeak \\\n133 44.0 0.0 2.0 108.0 141.0 0.0 0.0 175.0 0.0 0.6 \n233 54.0 1.0 3.0 110.0 239.0 0.0 0.0 126.0 1.0 2.8 \n160 66.0 1.0 3.0 112.0 212.0 0.0 2.0 132.0 1.0 0.1 \n212 57.0 1.0 3.0 150.0 276.0 0.0 2.0 112.0 1.0 0.6 \n119 51.0 1.0 2.0 94.0 227.0 0.0 0.0 154.0 1.0 0.0 \n1 69.0 0.0 0.0 140.0 239.0 0.0 0.0 151.0 0.0 1.8 \n102 56.0 1.0 2.0 130.0 256.0 1.0 2.0 142.0 1.0 0.6 \n122 50.0 1.0 2.0 140.0 233.0 0.0 0.0 163.0 0.0 0.6 \n209 58.0 1.0 3.0 125.0 300.0 0.0 2.0 171.0 0.0 0.0 \n258 46.0 0.0 3.0 138.0 243.0 0.0 2.0 152.0 1.0 0.0 \n\n slope ca thal exang_impute_mean exang_impute_freq prediction \n133 1.0 0.0 0.0 0.0 0.0 0.0 \n233 1.0 1.0 2.0 1.0 1.0 1.0 \n160 0.0 1.0 0.0 1.0 1.0 1.0 \n212 1.0 1.0 1.0 1.0 1.0 1.0 \n119 0.0 1.0 2.0 1.0 1.0 0.0 \n1 0.0 2.0 0.0 0.0 0.0 0.0 \n102 1.0 1.0 1.0 1.0 1.0 0.0 \n122 1.0 1.0 2.0 0.0 0.0 0.0 \n209 0.0 2.0 2.0 0.0 0.0 1.0 \n258 1.0 0.0 0.0 1.0 1.0 0.0 ",
"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>age</th>\n <th>sex</th>\n <th>cp</th>\n <th>trestbps</th>\n <th>chol</th>\n <th>fbs</th>\n <th>restecg</th>\n <th>thalach</th>\n <th>exang</th>\n <th>oldpeak</th>\n <th>slope</th>\n <th>ca</th>\n <th>thal</th>\n <th>exang_impute_mean</th>\n <th>exang_impute_freq</th>\n <th>prediction</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>133</th>\n <td>44.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>108.0</td>\n <td>141.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>175.0</td>\n <td>0.0</td>\n <td>0.6</td>\n <td>1.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>233</th>\n <td>54.0</td>\n <td>1.0</td>\n <td>3.0</td>\n <td>110.0</td>\n <td>239.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>126.0</td>\n <td>1.0</td>\n <td>2.8</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n </tr>\n <tr>\n <th>160</th>\n <td>66.0</td>\n <td>1.0</td>\n <td>3.0</td>\n <td>112.0</td>\n <td>212.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>132.0</td>\n <td>1.0</td>\n <td>0.1</td>\n <td>0.0</td>\n <td>1.0</td>\n <td>0.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n </tr>\n <tr>\n <th>212</th>\n <td>57.0</td>\n <td>1.0</td>\n <td>3.0</td>\n <td>150.0</td>\n <td>276.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>112.0</td>\n <td>1.0</td>\n <td>0.6</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n </tr>\n <tr>\n <th>119</th>\n <td>51.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>94.0</td>\n <td>227.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>154.0</td>\n <td>1.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>1</th>\n <td>69.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>140.0</td>\n <td>239.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>151.0</td>\n <td>0.0</td>\n <td>1.8</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>102</th>\n <td>56.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>130.0</td>\n <td>256.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>142.0</td>\n <td>1.0</td>\n <td>0.6</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>122</th>\n <td>50.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>140.0</td>\n <td>233.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>163.0</td>\n <td>0.0</td>\n <td>0.6</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>2.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n </tr>\n <tr>\n <th>209</th>\n <td>58.0</td>\n <td>1.0</td>\n <td>3.0</td>\n <td>125.0</td>\n <td>300.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>171.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>2.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>1.0</td>\n </tr>\n <tr>\n <th>258</th>\n <td>46.0</td>\n <td>0.0</td>\n <td>3.0</td>\n <td>138.0</td>\n <td>243.0</td>\n <td>0.0</td>\n <td>2.0</td>\n <td>152.0</td>\n <td>1.0</td>\n <td>0.0</td>\n <td>1.0</td>\n <td>0.0</td>\n <td>0.0</td>\n <td>1.0</td>\n <td>1.0</td>\n <td>0.0</td>\n </tr>\n </tbody>\n</table>\n</div>"
},
"metadata": {},
"execution_count": 121
}
],
"source": [
"# Shows data frame with appended predictions. \n",
"predictions = pd.DataFrame(clf.predict(X_test), columns=['prediction'])\n",
"predictions.index = X_test.index\n",
"pd.concat([X_test,predictions],axis=1).iloc[0:10,:]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get an initial idea of how well the model is performing, we can plot the confusion matrix. In the matrix below, where can you find the True Positives (TP), True Negative (TN), False Positive (FP) and False Negatives (FN)?"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.colorbar.Colorbar at 0x15cfd8b38>"
},
"metadata": {},
"execution_count": 151
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 288x288 with 2 Axes>",
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"237.6pt\" version=\"1.1\" viewBox=\"0 0 271.58625 237.6\" width=\"271.58625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n </style>\n </defs>\n <g id=\"figure_1\">\n <g id=\"patch_1\">\n <path d=\"M 0 237.6 \nL 271.58625 237.6 \nL 271.58625 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n </g>\n <g id=\"axes_1\">\n <g id=\"patch_2\">\n <path d=\"M 34.240625 208.08 \nL 212.800625 208.08 \nL 212.800625 29.52 \nL 34.240625 29.52 \nz\n\" style=\"fill:#ffffff;\"/>\n </g>\n <g clip-path=\"url(#p1958bdd773)\">\n <image height=\"179\" id=\"image5cd06e1545\" transform=\"scale(1 -1)translate(0 -179)\" width=\"179\" x=\"34.240625\" xlink:href=\"data:image/png;base64,\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\" y=\"-29.08\"/>\n </g>\n <g id=\"matplotlib.axis_1\">\n <g id=\"xtick_1\">\n <g id=\"line2d_1\">\n <defs>\n <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"m0e20b56dea\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"78.880625\" xlink:href=\"#m0e20b56dea\" y=\"208.08\"/>\n </g>\n </g>\n <g id=\"line2d_2\">\n <defs>\n <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"m6f8a2fb6fe\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"78.880625\" xlink:href=\"#m6f8a2fb6fe\" y=\"29.52\"/>\n </g>\n </g>\n <g id=\"text_1\">\n <!-- 0 -->\n <defs>\n <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n </defs>\n <g transform=\"translate(75.699375 20.440313)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_2\">\n <g id=\"line2d_3\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"168.160625\" xlink:href=\"#m0e20b56dea\" y=\"208.08\"/>\n </g>\n </g>\n <g id=\"line2d_4\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"168.160625\" xlink:href=\"#m6f8a2fb6fe\" y=\"29.52\"/>\n </g>\n </g>\n <g id=\"text_2\">\n <!-- 1 -->\n <defs>\n <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n </defs>\n <g transform=\"translate(164.979375 20.440313)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n </g>\n </g>\n </g>\n <g id=\"text_3\">\n <!-- Predicted label -->\n <defs>\n <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n <path id=\"DejaVuSans-32\"/>\n <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n <path d=\"M 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\nM 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 75.984375 \nL 18.109375 75.984375 \nz\n\" id=\"DejaVuSans-98\"/>\n </defs>\n <g transform=\"translate(86.170625 219.678438)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-80\"/>\n <use x=\"60.287109\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"101.369141\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"162.892578\" xlink:href=\"#DejaVuSans-100\"/>\n <use x=\"226.369141\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"254.152344\" xlink:href=\"#DejaVuSans-99\"/>\n <use x=\"309.132812\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"348.341797\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"409.865234\" xlink:href=\"#DejaVuSans-100\"/>\n <use x=\"473.341797\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"505.128906\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"532.912109\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"594.191406\" xlink:href=\"#DejaVuSans-98\"/>\n <use x=\"657.667969\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"719.191406\" xlink:href=\"#DejaVuSans-108\"/>\n </g>\n </g>\n </g>\n <g id=\"matplotlib.axis_2\">\n <g id=\"ytick_1\">\n <g id=\"line2d_5\">\n <defs>\n <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m022a992697\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"34.240625\" xlink:href=\"#m022a992697\" y=\"74.16\"/>\n </g>\n </g>\n <g id=\"text_4\">\n <!-- 0 -->\n <g transform=\"translate(20.878125 77.959219)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_2\">\n <g id=\"line2d_6\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"34.240625\" xlink:href=\"#m022a992697\" y=\"163.44\"/>\n </g>\n </g>\n <g id=\"text_5\">\n <!-- 1 -->\n <g transform=\"translate(20.878125 167.239219)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n </g>\n </g>\n </g>\n <g id=\"text_6\">\n <!-- True label -->\n <defs>\n <path d=\"M -0.296875 72.90625 \nL 61.375 72.90625 \nL 61.375 64.59375 \nL 35.5 64.59375 \nL 35.5 0 \nL 25.59375 0 \nL 25.59375 64.59375 \nL -0.296875 64.59375 \nz\n\" id=\"DejaVuSans-84\"/>\n <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n </defs>\n <g transform=\"translate(14.798438 143.825781)rotate(-90)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-84\"/>\n <use x=\"60.865234\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"101.978516\" xlink:href=\"#DejaVuSans-117\"/>\n <use x=\"165.357422\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"226.880859\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"258.667969\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"286.451172\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"347.730469\" xlink:href=\"#DejaVuSans-98\"/>\n <use x=\"411.207031\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"472.730469\" xlink:href=\"#DejaVuSans-108\"/>\n </g>\n </g>\n </g>\n <g id=\"patch_3\">\n <path d=\"M 34.240625 208.08 \nL 34.240625 29.52 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_4\">\n <path d=\"M 212.800625 208.08 \nL 212.800625 29.52 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_5\">\n <path d=\"M 34.240625 208.08 \nL 212.800625 208.08 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_6\">\n <path d=\"M 34.240625 29.52 \nL 212.800625 29.52 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"text_7\">\n <!-- 26.0 -->\n <defs>\n <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n </defs>\n <g transform=\"translate(67.747813 76.919375)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-54\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n <g id=\"text_8\">\n <!-- 4.0 -->\n <defs>\n <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n </defs>\n <g transform=\"translate(160.209063 76.919375)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-52\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n <g id=\"text_9\">\n <!-- 4.0 -->\n <g transform=\"translate(70.929063 166.199375)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-52\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n <g id=\"text_10\">\n <!-- 23.0 -->\n <defs>\n <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n </defs>\n <g transform=\"translate(157.027813 166.199375)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-51\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"axes_2\">\n <g id=\"patch_7\">\n <path clip-path=\"url(#p653cf54af3)\" d=\"M 223.960625 230.4 \nL 223.960625 229.528125 \nL 223.960625 8.071875 \nL 223.960625 7.2 \nL 235.120625 7.2 \nL 235.120625 8.071875 \nL 235.120625 229.528125 \nL 235.120625 230.4 \nz\n\" style=\"fill:#ffffff;stroke:#ffffff;stroke-linejoin:miter;stroke-width:0.01;\"/>\n </g>\n <image height=\"223\" id=\"image7af81bc003\" transform=\"scale(1 -1)translate(0 -223)\" width=\"11\" x=\"224\" xlink:href=\"data:image/png;base64,\niVBORw0KGgoAAAANSUhEUgAAAAsAAADfCAYAAAAgAykfAAAABHNCSVQICAgIfAhkiAAAASJJREFUaIHtmDEOAjEQAxeU/3+XAi6h5bpMMZIXhXplORPHyfF4vdeqzd+Y+7M1an+2BpitAVzUWMCH6BmhIwt8AhcmOqhMhi10zAbMhuV5kuFK2UGkbB1YhC6kNw66uzIZzvB80P0OH3R3ZcvzhS7NfWFzgd52o9eXZ4OhQydFfG8QdCnvDeRZU86w4XFmHzVEmdWXlmfxpGhVgNAhGyY6MIzC/wHnyrytOgYJSLP66hgkpOyh85rf2xTkGaETXwXaAjuiC8mGV19iNsQPBO2iR/XVMBtii879Ok/xHKKMUtdxgTHovPB3pGHZQMPsD0nNBqqvEM8hnGHzR3gO4eyh+3vOS2x+hA4No5IhyvPSbGieQ5QZuo4LDEGXQSNEuR+6Lw9E5CkQlIY4AAAAAElFTkSuQmCC\" y=\"-7\"/>\n <g id=\"matplotlib.axis_3\"/>\n <g id=\"matplotlib.axis_4\">\n <g id=\"ytick_3\">\n <g id=\"line2d_7\">\n <defs>\n <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m320b3cf8c8\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"220.254545\"/>\n </g>\n </g>\n <g id=\"text_11\">\n <!-- 5.0 -->\n <defs>\n <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n </defs>\n <g transform=\"translate(242.120625 224.053764)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-53\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_4\">\n <g id=\"line2d_8\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"194.890909\"/>\n </g>\n </g>\n <g id=\"text_12\">\n <!-- 7.5 -->\n <defs>\n <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n </defs>\n <g transform=\"translate(242.120625 198.690128)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-55\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_5\">\n <g id=\"line2d_9\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"169.527273\"/>\n </g>\n </g>\n <g id=\"text_13\">\n <!-- 10.0 -->\n <g transform=\"translate(242.120625 173.326491)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_6\">\n <g id=\"line2d_10\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"144.163636\"/>\n </g>\n </g>\n <g id=\"text_14\">\n <!-- 12.5 -->\n <g transform=\"translate(242.120625 147.962855)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_7\">\n <g id=\"line2d_11\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"118.8\"/>\n </g>\n </g>\n <g id=\"text_15\">\n <!-- 15.0 -->\n <g transform=\"translate(242.120625 122.599219)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_8\">\n <g id=\"line2d_12\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"93.436364\"/>\n </g>\n </g>\n <g id=\"text_16\">\n <!-- 17.5 -->\n <g transform=\"translate(242.120625 97.235582)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-55\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_9\">\n <g id=\"line2d_13\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"68.072727\"/>\n </g>\n </g>\n <g id=\"text_17\">\n <!-- 20.0 -->\n <g transform=\"translate(242.120625 71.871946)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_10\">\n <g id=\"line2d_14\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"42.709091\"/>\n </g>\n </g>\n <g id=\"text_18\">\n <!-- 22.5 -->\n <g transform=\"translate(242.120625 46.50831)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_11\">\n <g id=\"line2d_15\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"235.120625\" xlink:href=\"#m320b3cf8c8\" y=\"17.345455\"/>\n </g>\n </g>\n <g id=\"text_19\">\n <!-- 25.0 -->\n <g transform=\"translate(242.120625 21.144673)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-50\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-53\"/>\n <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n </g>\n <g id=\"patch_8\">\n <path d=\"M 223.960625 230.4 \nL 223.960625 229.528125 \nL 223.960625 8.071875 \nL 223.960625 7.2 \nL 235.120625 7.2 \nL 235.120625 8.071875 \nL 235.120625 229.528125 \nL 235.120625 230.4 \nz\n\" style=\"fill:none;stroke:#000000;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n </g>\n </g>\n <defs>\n <clipPath id=\"p1958bdd773\">\n <rect height=\"178.56\" width=\"178.56\" x=\"34.240625\" y=\"29.52\"/>\n </clipPath>\n <clipPath id=\"p653cf54af3\">\n <rect height=\"223.2\" width=\"11.16\" x=\"223.960625\" y=\"7.2\"/>\n </clipPath>\n </defs>\n</svg>\n",
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"from sklearn.metrics import confusion_matrix\n",
"\n",
"# Plot the confusion matrix\n",
"cm = confusion_matrix(y_test, predictions)\n",
"plt.matshow(cm, cmap=plt.cm.Blues)\n",
"for (i,j), z in np.ndenumerate(cm):\n",
" plt.text(j,i,'{:0.1f}'.format(z), ha='center', va='center')\n",
"plt.ylabel(\"True label\")\n",
"plt.xlabel(\"Predicted label\")\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In order to properly assess the model's performance on the test data, we need a metric that quantifies the predictions. There are various metrics available and the choice of metric depends on the particular situation. Remember that metrics such as sensitivity, specificity and AUROC curve may be problematic if the labels are unbalanced. "
]
},
{
"cell_type": "code",
"execution_count": 103,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "0.0 0.526316\n1.0 0.473684\ndtype: float64"
},
"metadata": {},
"execution_count": 103
}
],
"source": [
"# Check if the labels are unbalanced\n",
"pd.Series(y_test).value_counts()/y_test.shape[0]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below are a couple of metrics that could be used to evaluate the model performance. Try and understand how these are calculated and which parts of the confusion matrix (TP, TN, FP, FN) are used for each metric. You may use: https://towardsdatascience.com/the-5-classification-evaluation-metrics-you-must-know-aa97784ff226 "
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [],
"source": [
"# The following metrics could be used to evaluation model performance.\n",
"def compute_accuracy(y, predictions):\n",
" \"\"\"Computes the accuracy of predictions against the gold labels, y.\"\"\"\n",
" return np.mean(predictions == y)\n",
"\n",
"def compute_sensitivity(y, predictions): # sensitivity = recall\n",
" \"\"\"Computes the sensitivity of predictions againts the gold labels, y.\"\"\"\n",
" return sum(y[predictions==1]==1)/sum(y==1)\n",
"\n",
"def compute_specificity(y, predictions):\n",
" \"\"\"Computes the specificity of predictions againts the gold labels, y.\"\"\"\n",
" return sum(y[predictions==0]==0)/sum(y==0)\n",
"\n",
"def compute_precision(y, predictions):\n",
" \"\"\"Computes the precision of predictions againts the gold labels, y.\"\"\"\n",
" return sum(y[predictions==1]==1)/sum(predictions==1)\n",
"\n",
"def compute_F1(y, predictions):\n",
" \"\"\"Computes F1 score of predictions against the gold labels, y.\"\"\"\n",
" sensitivity = compute_sensitivity(y, predictions)\n",
" precision = compute_precision(y, predictions)\n",
" return 2*(sensitivity*precision)/(sensitivity + precision)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Evaluate the performance of the model for the test data with the metrics above. "
]
},
{
"cell_type": "code",
"execution_count": 157,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "accuracy: \nsensitivity: \nspecificity: \nprecision: \nF1 score: \naccuracy: 0.8596491228070176\nsensitivity: 0.8518518518518519\nspecificity: 0.8666666666666667\nprecision: 0.8518518518518519\nF1 score: 0.8518518518518519\n"
}
],
"source": [
"#Your code\n",
"predictions = clf.predict(X_test)\n",
"print('accuracy: ')\n",
"print('sensitivity: ')\n",
"print('specificity: ')\n",
"print('precision: ')\n",
"print('F1 score: ')\n",
"\n",
"# Answer\n",
"print('accuracy: ', compute_accuracy(y_test, predictions))\n",
"print('sensitivity: ', compute_sensitivity(y_test, predictions))\n",
"print('specificity: ', compute_specificity(y_test, predictions))\n",
"print('precision: ', compute_precision(y_test, predictions))\n",
"print('F1 score: ', compute_F1(y_test, predictions))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In the above cell, the threshold for prediction is automatically set to a probability > 0.5 by the predict() function. However, you can manually adjust this threshold and calculate the according predictions through the probabilities. This can be particularly important for unbalanced labels. Does adjusting the threshold make a difference for the performance metrics? What threshold is optimal?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Confusion matrix erbij?"
]
},
{
"cell_type": "code",
"execution_count": 172,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "accuracy: \nsensitivity: \nspecificity: \nprecision: \nF1 score: \naccuracy: 0.8596491228070176\nsensitivity: 0.8518518518518519\nspecificity: 0.8666666666666667\nprecision: 0.8518518518518519\nF1 score: 0.8518518518518519\n"
}
],
"source": [
"#Your code\n",
"# Change the threshold for the predictions\n",
"threshold = 0.5\n",
"probabilities = clf.predict_proba(X_test)\n",
"predictions = probabilities[:,1]>threshold\n",
"print('accuracy: ')\n",
"print('sensitivity: ')\n",
"print('specificity: ')\n",
"print('precision: ')\n",
"print('F1 score: ')\n",
"\n",
"# Answer\n",
"print('accuracy: ', compute_accuracy(y_test, predictions))\n",
"print('sensitivity: ', compute_sensitivity(y_test, predictions))\n",
"print('specificity: ', compute_specificity(y_test, predictions))\n",
"print('precision: ', compute_precision(y_test, predictions))\n",
"print('F1 score: ', compute_F1(y_test, predictions))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To get a summary of how well your model performs for different thresholds, we can look at the receiver operating characteristic (ROC) and precision recall curves. The ROC curve offsets the false positives against the true positives for many different thresholds. The precision recall curve does the same thing, but for precision and recall (sensitivity).\n",
"\n",
"The area under the curve (AUC) is an often used statistic and can be calculated for both the ROC and precision recall curves. "
]
},
{
"cell_type": "code",
"execution_count": 178,
"metadata": {
"tags": []
},
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": "AUC ROC curve: 0.9302469135802469\nAUC precision recall cruve: 0.9297088909301718\n"
}
],
"source": [
"from sklearn.metrics import auc, roc_curve, precision_recall_curve\n",
"\n",
"# Calculate the AUC of the ROC curve\n",
"FPR, TPR, thresholds = roc_curve(y_test, probabilities[:,1])\n",
"print('AUC ROC curve:', auc(FPR, TPR))\n",
"\n",
"# Calculate the AUC of the precision recall curve\n",
"precision, recall, thresholds = precision_recall_curve(y_test, probabilities[:,1])\n",
"print('AUC precision recall cruve: ', auc(recall, precision))"
]
},
{
"cell_type": "code",
"execution_count": 175,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x161cf0160>"
},
"metadata": {},
"execution_count": 175
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"262.19625pt\" version=\"1.1\" viewBox=\"0 0 385.78125 262.19625\" width=\"385.78125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n </style>\n </defs>\n <g id=\"figure_1\">\n <g id=\"patch_1\">\n <path d=\"M 0 262.19625 \nL 385.78125 262.19625 \nL 385.78125 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n </g>\n <g id=\"axes_1\">\n <g id=\"patch_2\">\n <path d=\"M 43.78125 224.64 \nL 378.58125 224.64 \nL 378.58125 7.2 \nL 43.78125 7.2 \nz\n\" style=\"fill:#ffffff;\"/>\n </g>\n <g id=\"matplotlib.axis_1\">\n <g id=\"xtick_1\">\n <g id=\"line2d_1\">\n <defs>\n <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mce9d564cb5\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"58.999432\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_1\">\n <!-- 0.0 -->\n <defs>\n <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n </defs>\n <g transform=\"translate(51.047869 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_2\">\n <g id=\"line2d_2\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"119.872159\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_2\">\n <!-- 0.2 -->\n <defs>\n <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n </defs>\n <g transform=\"translate(111.920597 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_3\">\n <g id=\"line2d_3\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"180.744886\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_3\">\n <!-- 0.4 -->\n <defs>\n <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n </defs>\n <g transform=\"translate(172.793324 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_4\">\n <g id=\"line2d_4\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"241.617614\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_4\">\n <!-- 0.6 -->\n <defs>\n <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n </defs>\n <g transform=\"translate(233.666051 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_5\">\n <g id=\"line2d_5\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"302.490341\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_5\">\n <!-- 0.8 -->\n <defs>\n <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n </defs>\n <g transform=\"translate(294.538778 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_6\">\n <g id=\"line2d_6\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"363.363068\" xlink:href=\"#mce9d564cb5\" y=\"224.64\"/>\n </g>\n </g>\n <g id=\"text_6\">\n <!-- 1.0 -->\n <defs>\n <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n </defs>\n <g transform=\"translate(355.411506 239.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"text_7\">\n <!-- False positive rate -->\n <defs>\n <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n <path id=\"DejaVuSans-32\"/>\n <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n <path d=\"M 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 8.796875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nL 35.6875 0 \nL 23.484375 0 \nz\n\" id=\"DejaVuSans-118\"/>\n <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n </defs>\n <g transform=\"translate(165.23125 252.916562)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-70\"/>\n <use x=\"57.378906\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"118.658203\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"146.441406\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"198.541016\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"260.064453\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"291.851562\" xlink:href=\"#DejaVuSans-112\"/>\n <use x=\"355.328125\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"416.509766\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"468.609375\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"496.392578\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"535.601562\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"563.384766\" xlink:href=\"#DejaVuSans-118\"/>\n <use x=\"622.564453\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"684.087891\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"715.875\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"756.988281\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"818.267578\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"857.476562\" xlink:href=\"#DejaVuSans-101\"/>\n </g>\n </g>\n </g>\n <g id=\"matplotlib.axis_2\">\n <g id=\"ytick_1\">\n <g id=\"line2d_7\">\n <defs>\n <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"mc1e8271c6f\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"214.756364\"/>\n </g>\n </g>\n <g id=\"text_8\">\n <!-- 0.0 -->\n <g transform=\"translate(20.878125 218.555582)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_2\">\n <g id=\"line2d_8\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"175.221818\"/>\n </g>\n </g>\n <g id=\"text_9\">\n <!-- 0.2 -->\n <g transform=\"translate(20.878125 179.021037)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_3\">\n <g id=\"line2d_9\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"135.687273\"/>\n </g>\n </g>\n <g id=\"text_10\">\n <!-- 0.4 -->\n <g transform=\"translate(20.878125 139.486491)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_4\">\n <g id=\"line2d_10\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"96.152727\"/>\n </g>\n </g>\n <g id=\"text_11\">\n <!-- 0.6 -->\n <g transform=\"translate(20.878125 99.951946)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_5\">\n <g id=\"line2d_11\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"56.618182\"/>\n </g>\n </g>\n <g id=\"text_12\">\n <!-- 0.8 -->\n <g transform=\"translate(20.878125 60.417401)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_6\">\n <g id=\"line2d_12\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#mc1e8271c6f\" y=\"17.083636\"/>\n </g>\n </g>\n <g id=\"text_13\">\n <!-- 1.0 -->\n <g transform=\"translate(20.878125 20.882855)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"text_14\">\n <!-- True positive rate -->\n <defs>\n <path d=\"M -0.296875 72.90625 \nL 61.375 72.90625 \nL 61.375 64.59375 \nL 35.5 64.59375 \nL 35.5 0 \nL 25.59375 0 \nL 25.59375 64.59375 \nL -0.296875 64.59375 \nz\n\" id=\"DejaVuSans-84\"/>\n <path d=\"M 8.5 21.578125 \nL 8.5 54.6875 \nL 17.484375 54.6875 \nL 17.484375 21.921875 \nQ 17.484375 14.15625 20.5 10.265625 \nQ 23.53125 6.390625 29.59375 6.390625 \nQ 36.859375 6.390625 41.078125 11.03125 \nQ 45.3125 15.671875 45.3125 23.6875 \nL 45.3125 54.6875 \nL 54.296875 54.6875 \nL 54.296875 0 \nL 45.3125 0 \nL 45.3125 8.40625 \nQ 42.046875 3.421875 37.71875 1 \nQ 33.40625 -1.421875 27.6875 -1.421875 \nQ 18.265625 -1.421875 13.375 4.4375 \nQ 8.5 10.296875 8.5 21.578125 \nz\nM 31.109375 56 \nz\n\" id=\"DejaVuSans-117\"/>\n </defs>\n <g transform=\"translate(14.798438 160.210625)rotate(-90)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-84\"/>\n <use x=\"60.865234\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"101.978516\" xlink:href=\"#DejaVuSans-117\"/>\n <use x=\"165.357422\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"226.880859\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"258.667969\" xlink:href=\"#DejaVuSans-112\"/>\n <use x=\"322.144531\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"383.326172\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"435.425781\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"463.208984\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"502.417969\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"530.201172\" xlink:href=\"#DejaVuSans-118\"/>\n <use x=\"589.380859\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"650.904297\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"682.691406\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"723.804688\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"785.083984\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"824.292969\" xlink:href=\"#DejaVuSans-101\"/>\n </g>\n </g>\n </g>\n <g id=\"line2d_13\">\n <path clip-path=\"url(#pc7dfade30d)\" d=\"M 58.999432 214.756364 \nL 363.363068 17.083636 \n\" style=\"fill:none;stroke:#1f77b4;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_14\">\n <path clip-path=\"url(#pc7dfade30d)\" d=\"M 58.999432 214.756364 \nL 58.999432 207.435152 \nL 58.999432 104.938182 \nL 69.144886 97.61697 \nL 69.144886 82.974545 \nL 89.435795 82.974545 \nL 89.435795 53.689697 \nL 99.58125 53.689697 \nL 99.58125 46.368485 \nL 130.017614 46.368485 \nL 130.017614 31.726061 \nL 170.599432 31.726061 \nL 170.599432 24.404848 \nL 190.890341 24.404848 \nL 190.890341 17.083636 \nL 221.326705 17.083636 \nL 241.617614 17.083636 \nL 251.763068 17.083636 \nL 272.053977 17.083636 \nL 322.78125 17.083636 \nL 343.072159 17.083636 \nL 363.363068 17.083636 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n </g>\n <g id=\"patch_3\">\n <path d=\"M 43.78125 224.64 \nL 43.78125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_4\">\n <path d=\"M 378.58125 224.64 \nL 378.58125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_5\">\n <path d=\"M 43.78125 224.64 \nL 378.58125 224.64 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_6\">\n <path d=\"M 43.78125 7.2 \nL 378.58125 7.2 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"legend_1\">\n <g id=\"patch_7\">\n <path d=\"M 183.93125 219.64 \nL 371.58125 219.64 \nQ 373.58125 219.64 373.58125 217.64 \nL 373.58125 189.28375 \nQ 373.58125 187.28375 371.58125 187.28375 \nL 183.93125 187.28375 \nQ 181.93125 187.28375 181.93125 189.28375 \nL 181.93125 217.64 \nQ 181.93125 219.64 183.93125 219.64 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n </g>\n <g id=\"line2d_15\">\n <path d=\"M 185.93125 195.382187 \nL 205.93125 195.382187 \n\" style=\"fill:none;stroke:#1f77b4;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_16\"/>\n <g id=\"text_15\">\n <!-- No skill -->\n <defs>\n <path d=\"M 9.8125 72.90625 \nL 23.09375 72.90625 \nL 55.421875 11.921875 \nL 55.421875 72.90625 \nL 64.984375 72.90625 \nL 64.984375 0 \nL 51.703125 0 \nL 19.390625 60.984375 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-78\"/>\n <path d=\"M 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 31.109375 \nL 44.921875 54.6875 \nL 56.390625 54.6875 \nL 27.390625 29.109375 \nL 57.625 0 \nL 45.90625 0 \nL 18.109375 26.703125 \nL 18.109375 0 \nL 9.078125 0 \nz\n\" id=\"DejaVuSans-107\"/>\n </defs>\n <g transform=\"translate(213.93125 198.882187)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-78\"/>\n <use x=\"74.804688\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"135.986328\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"167.773438\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"219.873047\" xlink:href=\"#DejaVuSans-107\"/>\n <use x=\"277.783203\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"305.566406\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"333.349609\" xlink:href=\"#DejaVuSans-108\"/>\n </g>\n </g>\n <g id=\"line2d_17\">\n <path d=\"M 185.93125 210.060312 \nL 205.93125 210.060312 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_18\"/>\n <g id=\"text_16\">\n <!-- Random Forrest (AUC = 0.930) -->\n <defs>\n <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n <path d=\"M 8.6875 72.90625 \nL 18.609375 72.90625 \nL 18.609375 28.609375 \nQ 18.609375 16.890625 22.84375 11.734375 \nQ 27.09375 6.59375 36.625 6.59375 \nQ 46.09375 6.59375 50.34375 11.734375 \nQ 54.59375 16.890625 54.59375 28.609375 \nL 54.59375 72.90625 \nL 64.5 72.90625 \nL 64.5 27.390625 \nQ 64.5 13.140625 57.4375 5.859375 \nQ 50.390625 -1.421875 36.625 -1.421875 \nQ 22.796875 -1.421875 15.734375 5.859375 \nQ 8.6875 13.140625 8.6875 27.390625 \nz\n\" id=\"DejaVuSans-85\"/>\n <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n </defs>\n <g transform=\"translate(213.93125 213.560312)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-82\"/>\n <use x=\"69.451172\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"130.730469\" xlink:href=\"#DejaVuSans-110\"/>\n <use x=\"194.109375\" xlink:href=\"#DejaVuSans-100\"/>\n <use x=\"257.585938\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"318.767578\" xlink:href=\"#DejaVuSans-109\"/>\n <use x=\"416.179688\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"447.966797\" xlink:href=\"#DejaVuSans-70\"/>\n <use x=\"505.439453\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"566.621094\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"607.71875\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"648.800781\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"710.324219\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"762.423828\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"801.632812\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"833.419922\" xlink:href=\"#DejaVuSans-40\"/>\n <use x=\"872.433594\" xlink:href=\"#DejaVuSans-65\"/>\n <use x=\"940.841797\" xlink:href=\"#DejaVuSans-85\"/>\n <use x=\"1014.035156\" xlink:href=\"#DejaVuSans-67\"/>\n <use x=\"1083.859375\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"1115.646484\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"1199.435547\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"1231.222656\" xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"1294.845703\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"1326.632812\" xlink:href=\"#DejaVuSans-57\"/>\n <use x=\"1390.255859\" xlink:href=\"#DejaVuSans-51\"/>\n <use x=\"1453.878906\" xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"1517.501953\" xlink:href=\"#DejaVuSans-41\"/>\n </g>\n </g>\n </g>\n </g>\n </g>\n <defs>\n <clipPath id=\"pc7dfade30d\">\n <rect height=\"217.44\" width=\"334.8\" x=\"43.78125\" y=\"7.2\"/>\n </clipPath>\n </defs>\n</svg>\n",
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"# Plot the receiver operating characteristic curve\n",
"plt.plot([0, 1], [0, 1], linestyle='--', label='No skill')\n",
"plt.plot(FPR, TPR, \n",
" label='Random Forrest (AUC = {:.3f})'.format(auc(inverted_specificity, sensitivity)))\n",
"plt.xlabel('False positive rate')\n",
"plt.ylabel('True positive rate')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "<matplotlib.legend.Legend at 0x1625da1d0>"
},
"metadata": {},
"execution_count": 143
},
{
"output_type": "display_data",
"data": {
"text/plain": "<Figure size 432x288 with 1 Axes>",
"image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"265.995469pt\" version=\"1.1\" viewBox=\"0 0 385.78125 265.995469\" width=\"385.78125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n </style>\n </defs>\n <g id=\"figure_1\">\n <g id=\"patch_1\">\n <path d=\"M 0 265.995469 \nL 385.78125 265.995469 \nL 385.78125 0 \nL 0 0 \nz\n\" style=\"fill:none;\"/>\n </g>\n <g id=\"axes_1\">\n <g id=\"patch_2\">\n <path d=\"M 43.78125 228.439219 \nL 378.58125 228.439219 \nL 378.58125 10.999219 \nL 43.78125 10.999219 \nz\n\" style=\"fill:#ffffff;\"/>\n </g>\n <g id=\"matplotlib.axis_1\">\n <g id=\"xtick_1\">\n <g id=\"line2d_1\">\n <defs>\n <path d=\"M 0 0 \nL 0 3.5 \n\" id=\"mda80524f5a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"58.999432\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_1\">\n <!-- 0.0 -->\n <defs>\n <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n </defs>\n <g transform=\"translate(51.047869 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_2\">\n <g id=\"line2d_2\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"119.872159\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_2\">\n <!-- 0.2 -->\n <defs>\n <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n </defs>\n <g transform=\"translate(111.920597 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_3\">\n <g id=\"line2d_3\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"180.744886\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_3\">\n <!-- 0.4 -->\n <defs>\n <path d=\"M 37.796875 64.3125 \nL 12.890625 25.390625 \nL 37.796875 25.390625 \nz\nM 35.203125 72.90625 \nL 47.609375 72.90625 \nL 47.609375 25.390625 \nL 58.015625 25.390625 \nL 58.015625 17.1875 \nL 47.609375 17.1875 \nL 47.609375 0 \nL 37.796875 0 \nL 37.796875 17.1875 \nL 4.890625 17.1875 \nL 4.890625 26.703125 \nz\n\" id=\"DejaVuSans-52\"/>\n </defs>\n <g transform=\"translate(172.793324 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_4\">\n <g id=\"line2d_4\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"241.617614\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_4\">\n <!-- 0.6 -->\n <defs>\n <path d=\"M 33.015625 40.375 \nQ 26.375 40.375 22.484375 35.828125 \nQ 18.609375 31.296875 18.609375 23.390625 \nQ 18.609375 15.53125 22.484375 10.953125 \nQ 26.375 6.390625 33.015625 6.390625 \nQ 39.65625 6.390625 43.53125 10.953125 \nQ 47.40625 15.53125 47.40625 23.390625 \nQ 47.40625 31.296875 43.53125 35.828125 \nQ 39.65625 40.375 33.015625 40.375 \nz\nM 52.59375 71.296875 \nL 52.59375 62.3125 \nQ 48.875 64.0625 45.09375 64.984375 \nQ 41.3125 65.921875 37.59375 65.921875 \nQ 27.828125 65.921875 22.671875 59.328125 \nQ 17.53125 52.734375 16.796875 39.40625 \nQ 19.671875 43.65625 24.015625 45.921875 \nQ 28.375 48.1875 33.59375 48.1875 \nQ 44.578125 48.1875 50.953125 41.515625 \nQ 57.328125 34.859375 57.328125 23.390625 \nQ 57.328125 12.15625 50.6875 5.359375 \nQ 44.046875 -1.421875 33.015625 -1.421875 \nQ 20.359375 -1.421875 13.671875 8.265625 \nQ 6.984375 17.96875 6.984375 36.375 \nQ 6.984375 53.65625 15.1875 63.9375 \nQ 23.390625 74.21875 37.203125 74.21875 \nQ 40.921875 74.21875 44.703125 73.484375 \nQ 48.484375 72.75 52.59375 71.296875 \nz\n\" id=\"DejaVuSans-54\"/>\n </defs>\n <g transform=\"translate(233.666051 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_5\">\n <g id=\"line2d_5\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"302.490341\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_5\">\n <!-- 0.8 -->\n <defs>\n <path d=\"M 31.78125 34.625 \nQ 24.75 34.625 20.71875 30.859375 \nQ 16.703125 27.09375 16.703125 20.515625 \nQ 16.703125 13.921875 20.71875 10.15625 \nQ 24.75 6.390625 31.78125 6.390625 \nQ 38.8125 6.390625 42.859375 10.171875 \nQ 46.921875 13.96875 46.921875 20.515625 \nQ 46.921875 27.09375 42.890625 30.859375 \nQ 38.875 34.625 31.78125 34.625 \nz\nM 21.921875 38.8125 \nQ 15.578125 40.375 12.03125 44.71875 \nQ 8.5 49.078125 8.5 55.328125 \nQ 8.5 64.0625 14.71875 69.140625 \nQ 20.953125 74.21875 31.78125 74.21875 \nQ 42.671875 74.21875 48.875 69.140625 \nQ 55.078125 64.0625 55.078125 55.328125 \nQ 55.078125 49.078125 51.53125 44.71875 \nQ 48 40.375 41.703125 38.8125 \nQ 48.828125 37.15625 52.796875 32.3125 \nQ 56.78125 27.484375 56.78125 20.515625 \nQ 56.78125 9.90625 50.3125 4.234375 \nQ 43.84375 -1.421875 31.78125 -1.421875 \nQ 19.734375 -1.421875 13.25 4.234375 \nQ 6.78125 9.90625 6.78125 20.515625 \nQ 6.78125 27.484375 10.78125 32.3125 \nQ 14.796875 37.15625 21.921875 38.8125 \nz\nM 18.3125 54.390625 \nQ 18.3125 48.734375 21.84375 45.5625 \nQ 25.390625 42.390625 31.78125 42.390625 \nQ 38.140625 42.390625 41.71875 45.5625 \nQ 45.3125 48.734375 45.3125 54.390625 \nQ 45.3125 60.0625 41.71875 63.234375 \nQ 38.140625 66.40625 31.78125 66.40625 \nQ 25.390625 66.40625 21.84375 63.234375 \nQ 18.3125 60.0625 18.3125 54.390625 \nz\n\" id=\"DejaVuSans-56\"/>\n </defs>\n <g transform=\"translate(294.538778 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n </g>\n </g>\n </g>\n <g id=\"xtick_6\">\n <g id=\"line2d_6\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"363.363068\" xlink:href=\"#mda80524f5a\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_6\">\n <!-- 1.0 -->\n <defs>\n <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n </defs>\n <g transform=\"translate(355.411506 243.037656)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"text_7\">\n <!-- Recall -->\n <defs>\n <path d=\"M 44.390625 34.1875 \nQ 47.5625 33.109375 50.5625 29.59375 \nQ 53.5625 26.078125 56.59375 19.921875 \nL 66.609375 0 \nL 56 0 \nL 46.6875 18.703125 \nQ 43.0625 26.03125 39.671875 28.421875 \nQ 36.28125 30.8125 30.421875 30.8125 \nL 19.671875 30.8125 \nL 19.671875 0 \nL 9.8125 0 \nL 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.578125 72.90625 50.734375 67.671875 \nQ 56.890625 62.453125 56.890625 51.90625 \nQ 56.890625 45.015625 53.6875 40.46875 \nQ 50.484375 35.9375 44.390625 34.1875 \nz\nM 19.671875 64.796875 \nL 19.671875 38.921875 \nL 32.078125 38.921875 \nQ 39.203125 38.921875 42.84375 42.21875 \nQ 46.484375 45.515625 46.484375 51.90625 \nQ 46.484375 58.296875 42.84375 61.546875 \nQ 39.203125 64.796875 32.078125 64.796875 \nz\n\" id=\"DejaVuSans-82\"/>\n <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n <path d=\"M 48.78125 52.59375 \nL 48.78125 44.1875 \nQ 44.96875 46.296875 41.140625 47.34375 \nQ 37.3125 48.390625 33.40625 48.390625 \nQ 24.65625 48.390625 19.8125 42.84375 \nQ 14.984375 37.3125 14.984375 27.296875 \nQ 14.984375 17.28125 19.8125 11.734375 \nQ 24.65625 6.203125 33.40625 6.203125 \nQ 37.3125 6.203125 41.140625 7.25 \nQ 44.96875 8.296875 48.78125 10.40625 \nL 48.78125 2.09375 \nQ 45.015625 0.34375 40.984375 -0.53125 \nQ 36.96875 -1.421875 32.421875 -1.421875 \nQ 20.0625 -1.421875 12.78125 6.34375 \nQ 5.515625 14.109375 5.515625 27.296875 \nQ 5.515625 40.671875 12.859375 48.328125 \nQ 20.21875 56 33.015625 56 \nQ 37.15625 56 41.109375 55.140625 \nQ 45.0625 54.296875 48.78125 52.59375 \nz\n\" id=\"DejaVuSans-99\"/>\n <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n </defs>\n <g transform=\"translate(196.042188 256.715781)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-82\"/>\n <use x=\"69.419922\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"130.943359\" xlink:href=\"#DejaVuSans-99\"/>\n <use x=\"185.923828\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"247.203125\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"274.986328\" xlink:href=\"#DejaVuSans-108\"/>\n </g>\n </g>\n </g>\n <g id=\"matplotlib.axis_2\">\n <g id=\"ytick_1\">\n <g id=\"line2d_7\">\n <defs>\n <path d=\"M 0 0 \nL -3.5 0 \n\" id=\"m537fd167f8\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n </defs>\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"228.439219\"/>\n </g>\n </g>\n <g id=\"text_8\">\n <!-- 0.0 -->\n <g transform=\"translate(20.878125 232.238437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_2\">\n <g id=\"line2d_8\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"184.951219\"/>\n </g>\n </g>\n <g id=\"text_9\">\n <!-- 0.2 -->\n <g transform=\"translate(20.878125 188.750437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_3\">\n <g id=\"line2d_9\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"141.463219\"/>\n </g>\n </g>\n <g id=\"text_10\">\n <!-- 0.4 -->\n <g transform=\"translate(20.878125 145.262437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_4\">\n <g id=\"line2d_10\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"97.975219\"/>\n </g>\n </g>\n <g id=\"text_11\">\n <!-- 0.6 -->\n <g transform=\"translate(20.878125 101.774437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_5\">\n <g id=\"line2d_11\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"54.487219\"/>\n </g>\n </g>\n <g id=\"text_12\">\n <!-- 0.8 -->\n <g transform=\"translate(20.878125 58.286437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n </g>\n </g>\n </g>\n <g id=\"ytick_6\">\n <g id=\"line2d_12\">\n <g>\n <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"43.78125\" xlink:href=\"#m537fd167f8\" y=\"10.999219\"/>\n </g>\n </g>\n <g id=\"text_13\">\n <!-- 1.0 -->\n <g transform=\"translate(20.878125 14.798437)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-49\"/>\n <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n <g id=\"text_14\">\n <!-- Precision -->\n <defs>\n <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n <path d=\"M 41.109375 46.296875 \nQ 39.59375 47.171875 37.8125 47.578125 \nQ 36.03125 48 33.890625 48 \nQ 26.265625 48 22.1875 43.046875 \nQ 18.109375 38.09375 18.109375 28.8125 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 20.953125 51.171875 25.484375 53.578125 \nQ 30.03125 56 36.53125 56 \nQ 37.453125 56 38.578125 55.875 \nQ 39.703125 55.765625 41.0625 55.515625 \nz\n\" id=\"DejaVuSans-114\"/>\n <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n </defs>\n <g transform=\"translate(14.798438 142.223906)rotate(-90)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-80\"/>\n <use x=\"60.287109\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"101.369141\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"162.892578\" xlink:href=\"#DejaVuSans-99\"/>\n <use x=\"217.873047\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"245.65625\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"297.755859\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"325.539062\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"386.720703\" xlink:href=\"#DejaVuSans-110\"/>\n </g>\n </g>\n </g>\n <g id=\"line2d_13\">\n <path clip-path=\"url(#pb2eb110ded)\" d=\"M 58.999432 125.441324 \nL 363.363068 125.441324 \n\" style=\"fill:none;stroke:#1f77b4;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_14\">\n <path clip-path=\"url(#pb2eb110ded)\" d=\"M 363.363068 81.667219 \nL 352.090341 83.479219 \nL 352.090341 79.664482 \nL 352.090341 75.643543 \nL 340.817614 77.439219 \nL 340.817614 73.124933 \nL 340.817614 68.556866 \nL 340.817614 63.711946 \nL 340.817614 58.564219 \nL 329.544886 60.098574 \nL 318.272159 61.735219 \nL 318.272159 55.986805 \nL 318.272159 49.82779 \nL 318.272159 43.212552 \nL 306.999432 44.451526 \nL 306.999432 37.092019 \nL 284.453977 39.360958 \nL 261.908523 42.062076 \nL 261.908523 32.743219 \nL 261.908523 22.443429 \nL 250.635795 23.079219 \nL 239.363068 23.789807 \nL 228.090341 10.999219 \nL 216.817614 10.999219 \nL 205.544886 10.999219 \nL 194.272159 10.999219 \nL 182.999432 10.999219 \nL 171.726705 10.999219 \nL 160.453977 10.999219 \nL 149.18125 10.999219 \nL 137.908523 10.999219 \nL 126.635795 10.999219 \nL 115.363068 10.999219 \nL 104.090341 10.999219 \nL 92.817614 10.999219 \nL 81.544886 10.999219 \nL 70.272159 10.999219 \nL 58.999432 10.999219 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n </g>\n <g id=\"patch_3\">\n <path d=\"M 43.78125 228.439219 \nL 43.78125 10.999219 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_4\">\n <path d=\"M 378.58125 228.439219 \nL 378.58125 10.999219 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_5\">\n <path d=\"M 43.78125 228.439219 \nL 378.58125 228.439219 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"patch_6\">\n <path d=\"M 43.78125 10.999219 \nL 378.58125 10.999219 \n\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n </g>\n <g id=\"legend_1\">\n <g id=\"patch_7\">\n <path d=\"M 50.78125 223.439219 \nL 238.43125 223.439219 \nQ 240.43125 223.439219 240.43125 221.439219 \nL 240.43125 193.082969 \nQ 240.43125 191.082969 238.43125 191.082969 \nL 50.78125 191.082969 \nQ 48.78125 191.082969 48.78125 193.082969 \nL 48.78125 221.439219 \nQ 48.78125 223.439219 50.78125 223.439219 \nz\n\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n </g>\n <g id=\"line2d_15\">\n <path d=\"M 52.78125 199.181406 \nL 72.78125 199.181406 \n\" style=\"fill:none;stroke:#1f77b4;stroke-dasharray:5.55,2.4;stroke-dashoffset:0;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_16\"/>\n <g id=\"text_15\">\n <!-- No skill -->\n <defs>\n <path d=\"M 9.8125 72.90625 \nL 23.09375 72.90625 \nL 55.421875 11.921875 \nL 55.421875 72.90625 \nL 64.984375 72.90625 \nL 64.984375 0 \nL 51.703125 0 \nL 19.390625 60.984375 \nL 19.390625 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-78\"/>\n <path id=\"DejaVuSans-32\"/>\n <path d=\"M 9.078125 75.984375 \nL 18.109375 75.984375 \nL 18.109375 31.109375 \nL 44.921875 54.6875 \nL 56.390625 54.6875 \nL 27.390625 29.109375 \nL 57.625 0 \nL 45.90625 0 \nL 18.109375 26.703125 \nL 18.109375 0 \nL 9.078125 0 \nz\n\" id=\"DejaVuSans-107\"/>\n </defs>\n <g transform=\"translate(80.78125 202.681406)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-78\"/>\n <use x=\"74.804688\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"135.986328\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"167.773438\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"219.873047\" xlink:href=\"#DejaVuSans-107\"/>\n <use x=\"277.783203\" xlink:href=\"#DejaVuSans-105\"/>\n <use x=\"305.566406\" xlink:href=\"#DejaVuSans-108\"/>\n <use x=\"333.349609\" xlink:href=\"#DejaVuSans-108\"/>\n </g>\n </g>\n <g id=\"line2d_17\">\n <path d=\"M 52.78125 213.859531 \nL 72.78125 213.859531 \n\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n </g>\n <g id=\"line2d_18\"/>\n <g id=\"text_16\">\n <!-- Random Forrest (AUC) = 0.930 -->\n <defs>\n <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n <path d=\"M 9.8125 72.90625 \nL 51.703125 72.90625 \nL 51.703125 64.59375 \nL 19.671875 64.59375 \nL 19.671875 43.109375 \nL 48.578125 43.109375 \nL 48.578125 34.8125 \nL 19.671875 34.8125 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-70\"/>\n <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n <path d=\"M 31 75.875 \nQ 24.46875 64.65625 21.28125 53.65625 \nQ 18.109375 42.671875 18.109375 31.390625 \nQ 18.109375 20.125 21.3125 9.0625 \nQ 24.515625 -2 31 -13.1875 \nL 23.1875 -13.1875 \nQ 15.875 -1.703125 12.234375 9.375 \nQ 8.59375 20.453125 8.59375 31.390625 \nQ 8.59375 42.28125 12.203125 53.3125 \nQ 15.828125 64.359375 23.1875 75.875 \nz\n\" id=\"DejaVuSans-40\"/>\n <path d=\"M 34.1875 63.1875 \nL 20.796875 26.90625 \nL 47.609375 26.90625 \nz\nM 28.609375 72.90625 \nL 39.796875 72.90625 \nL 67.578125 0 \nL 57.328125 0 \nL 50.6875 18.703125 \nL 17.828125 18.703125 \nL 11.1875 0 \nL 0.78125 0 \nz\n\" id=\"DejaVuSans-65\"/>\n <path d=\"M 8.6875 72.90625 \nL 18.609375 72.90625 \nL 18.609375 28.609375 \nQ 18.609375 16.890625 22.84375 11.734375 \nQ 27.09375 6.59375 36.625 6.59375 \nQ 46.09375 6.59375 50.34375 11.734375 \nQ 54.59375 16.890625 54.59375 28.609375 \nL 54.59375 72.90625 \nL 64.5 72.90625 \nL 64.5 27.390625 \nQ 64.5 13.140625 57.4375 5.859375 \nQ 50.390625 -1.421875 36.625 -1.421875 \nQ 22.796875 -1.421875 15.734375 5.859375 \nQ 8.6875 13.140625 8.6875 27.390625 \nz\n\" id=\"DejaVuSans-85\"/>\n <path d=\"M 64.40625 67.28125 \nL 64.40625 56.890625 \nQ 59.421875 61.53125 53.78125 63.8125 \nQ 48.140625 66.109375 41.796875 66.109375 \nQ 29.296875 66.109375 22.65625 58.46875 \nQ 16.015625 50.828125 16.015625 36.375 \nQ 16.015625 21.96875 22.65625 14.328125 \nQ 29.296875 6.6875 41.796875 6.6875 \nQ 48.140625 6.6875 53.78125 8.984375 \nQ 59.421875 11.28125 64.40625 15.921875 \nL 64.40625 5.609375 \nQ 59.234375 2.09375 53.4375 0.328125 \nQ 47.65625 -1.421875 41.21875 -1.421875 \nQ 24.65625 -1.421875 15.125 8.703125 \nQ 5.609375 18.84375 5.609375 36.375 \nQ 5.609375 53.953125 15.125 64.078125 \nQ 24.65625 74.21875 41.21875 74.21875 \nQ 47.75 74.21875 53.53125 72.484375 \nQ 59.328125 70.75 64.40625 67.28125 \nz\n\" id=\"DejaVuSans-67\"/>\n <path d=\"M 8.015625 75.875 \nL 15.828125 75.875 \nQ 23.140625 64.359375 26.78125 53.3125 \nQ 30.421875 42.28125 30.421875 31.390625 \nQ 30.421875 20.453125 26.78125 9.375 \nQ 23.140625 -1.703125 15.828125 -13.1875 \nL 8.015625 -13.1875 \nQ 14.5 -2 17.703125 9.0625 \nQ 20.90625 20.125 20.90625 31.390625 \nQ 20.90625 42.671875 17.703125 53.65625 \nQ 14.5 64.65625 8.015625 75.875 \nz\n\" id=\"DejaVuSans-41\"/>\n <path d=\"M 10.59375 45.40625 \nL 73.1875 45.40625 \nL 73.1875 37.203125 \nL 10.59375 37.203125 \nz\nM 10.59375 25.484375 \nL 73.1875 25.484375 \nL 73.1875 17.1875 \nL 10.59375 17.1875 \nz\n\" id=\"DejaVuSans-61\"/>\n <path d=\"M 10.984375 1.515625 \nL 10.984375 10.5 \nQ 14.703125 8.734375 18.5 7.8125 \nQ 22.3125 6.890625 25.984375 6.890625 \nQ 35.75 6.890625 40.890625 13.453125 \nQ 46.046875 20.015625 46.78125 33.40625 \nQ 43.953125 29.203125 39.59375 26.953125 \nQ 35.25 24.703125 29.984375 24.703125 \nQ 19.046875 24.703125 12.671875 31.3125 \nQ 6.296875 37.9375 6.296875 49.421875 \nQ 6.296875 60.640625 12.9375 67.421875 \nQ 19.578125 74.21875 30.609375 74.21875 \nQ 43.265625 74.21875 49.921875 64.515625 \nQ 56.59375 54.828125 56.59375 36.375 \nQ 56.59375 19.140625 48.40625 8.859375 \nQ 40.234375 -1.421875 26.421875 -1.421875 \nQ 22.703125 -1.421875 18.890625 -0.6875 \nQ 15.09375 0.046875 10.984375 1.515625 \nz\nM 30.609375 32.421875 \nQ 37.25 32.421875 41.125 36.953125 \nQ 45.015625 41.5 45.015625 49.421875 \nQ 45.015625 57.28125 41.125 61.84375 \nQ 37.25 66.40625 30.609375 66.40625 \nQ 23.96875 66.40625 20.09375 61.84375 \nQ 16.21875 57.28125 16.21875 49.421875 \nQ 16.21875 41.5 20.09375 36.953125 \nQ 23.96875 32.421875 30.609375 32.421875 \nz\n\" id=\"DejaVuSans-57\"/>\n <path d=\"M 40.578125 39.3125 \nQ 47.65625 37.796875 51.625 33 \nQ 55.609375 28.21875 55.609375 21.1875 \nQ 55.609375 10.40625 48.1875 4.484375 \nQ 40.765625 -1.421875 27.09375 -1.421875 \nQ 22.515625 -1.421875 17.65625 -0.515625 \nQ 12.796875 0.390625 7.625 2.203125 \nL 7.625 11.71875 \nQ 11.71875 9.328125 16.59375 8.109375 \nQ 21.484375 6.890625 26.8125 6.890625 \nQ 36.078125 6.890625 40.9375 10.546875 \nQ 45.796875 14.203125 45.796875 21.1875 \nQ 45.796875 27.640625 41.28125 31.265625 \nQ 36.765625 34.90625 28.71875 34.90625 \nL 20.21875 34.90625 \nL 20.21875 43.015625 \nL 29.109375 43.015625 \nQ 36.375 43.015625 40.234375 45.921875 \nQ 44.09375 48.828125 44.09375 54.296875 \nQ 44.09375 59.90625 40.109375 62.90625 \nQ 36.140625 65.921875 28.71875 65.921875 \nQ 24.65625 65.921875 20.015625 65.03125 \nQ 15.375 64.15625 9.8125 62.3125 \nL 9.8125 71.09375 \nQ 15.4375 72.65625 20.34375 73.4375 \nQ 25.25 74.21875 29.59375 74.21875 \nQ 40.828125 74.21875 47.359375 69.109375 \nQ 53.90625 64.015625 53.90625 55.328125 \nQ 53.90625 49.265625 50.4375 45.09375 \nQ 46.96875 40.921875 40.578125 39.3125 \nz\n\" id=\"DejaVuSans-51\"/>\n </defs>\n <g transform=\"translate(80.78125 217.359531)scale(0.1 -0.1)\">\n <use xlink:href=\"#DejaVuSans-82\"/>\n <use x=\"69.451172\" xlink:href=\"#DejaVuSans-97\"/>\n <use x=\"130.730469\" xlink:href=\"#DejaVuSans-110\"/>\n <use x=\"194.109375\" xlink:href=\"#DejaVuSans-100\"/>\n <use x=\"257.585938\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"318.767578\" xlink:href=\"#DejaVuSans-109\"/>\n <use x=\"416.179688\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"447.966797\" xlink:href=\"#DejaVuSans-70\"/>\n <use x=\"505.439453\" xlink:href=\"#DejaVuSans-111\"/>\n <use x=\"566.621094\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"607.71875\" xlink:href=\"#DejaVuSans-114\"/>\n <use x=\"648.800781\" xlink:href=\"#DejaVuSans-101\"/>\n <use x=\"710.324219\" xlink:href=\"#DejaVuSans-115\"/>\n <use x=\"762.423828\" xlink:href=\"#DejaVuSans-116\"/>\n <use x=\"801.632812\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"833.419922\" xlink:href=\"#DejaVuSans-40\"/>\n <use x=\"872.433594\" xlink:href=\"#DejaVuSans-65\"/>\n <use x=\"940.841797\" xlink:href=\"#DejaVuSans-85\"/>\n <use x=\"1014.035156\" xlink:href=\"#DejaVuSans-67\"/>\n <use x=\"1083.859375\" xlink:href=\"#DejaVuSans-41\"/>\n <use x=\"1122.873047\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"1154.660156\" xlink:href=\"#DejaVuSans-61\"/>\n <use x=\"1238.449219\" xlink:href=\"#DejaVuSans-32\"/>\n <use x=\"1270.236328\" xlink:href=\"#DejaVuSans-48\"/>\n <use x=\"1333.859375\" xlink:href=\"#DejaVuSans-46\"/>\n <use x=\"1365.646484\" xlink:href=\"#DejaVuSans-57\"/>\n <use x=\"1429.269531\" xlink:href=\"#DejaVuSans-51\"/>\n <use x=\"1492.892578\" xlink:href=\"#DejaVuSans-48\"/>\n </g>\n </g>\n </g>\n </g>\n </g>\n <defs>\n <clipPath id=\"pb2eb110ded\">\n <rect height=\"217.44\" width=\"334.8\" x=\"43.78125\" y=\"10.999219\"/>\n </clipPath>\n </defs>\n</svg>\n",
"image/png": "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\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"# Plot the precision recall curve\n",
"no_skill = len(y_test[y_test==1])/len(y_test)\n",
"plt.plot([0, 1], [no_skill, no_skill], linestyle='--', label='No skill')\n",
"plt.plot(recall, precision, \n",
" label='Random Forrest (AUC) = {:.3f}'.format(auc(recall, precision)))\n",
"plt.ylim([0,1])\n",
"plt.xlabel('Recall')\n",
"plt.ylabel('Precision')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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
},
"orig_nbformat": 2,
"kernelspec": {
"name": "python_defaultSpec_1600866952485",
"display_name": "Python 3.7.0 64-bit"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
\ No newline at end of file