{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "We have coded the text as Bag of Words and applied an GradientBoosting and RandomForestClassifier models. We have built a pipeline to check different hyperparameters using cross-validation. At the end, we have obtained a good model which achieve an AUC of **0.92** " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data loading and cleaning" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "_cell_guid": "d5db572f-3b58-42a5-979a-464769d52524", "_uuid": "db376733d0954ea531a81ee31675624c5968706f" }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\n", "Bad key \"text.kerning_factor\" on line 4 in\n", "C:\\Users\\marcp\\Anaconda3\\lib\\site-packages\\matplotlib\\mpl-data\\stylelib\\_classic_test_patch.mplstyle.\n", "You probably need to get an updated matplotlibrc file from\n", "http://github.com/matplotlib/matplotlib/blob/master/matplotlibrc.template\n", "or from the matplotlib source distribution\n" ] }, { "ename": "ModuleNotFoundError", "evalue": "No module named 'catboost'", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[0;32m 43\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtree\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mDecisionTreeClassifier\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 44\u001b[0m \u001b[1;32mfrom\u001b[0m \u001b[0msklearn\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msvm\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mSVC\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m---> 45\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mcatboost\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mCatBoostClassifier\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'catboost'" ] } ], "source": [ "import pandas as pd \n", "import numpy as np \n", "import matplotlib.pyplot as plt \n", "import seaborn as sn \n", "from sklearn.model_selection import train_test_split \n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn import metrics\n", "from sklearn.metrics import classification_report, confusion_matrix\n", "from sklearn.model_selection import cross_val_score\n", "from sklearn.preprocessing import binarize\n", "%matplotlib inline\n", "\n", "# basic packages\n", "from itertools import cycle\n", "\n", "# sklearn\n", "from sklearn import datasets\n", "from sklearn.datasets import make_classification\n", "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.metrics import accuracy_score, roc_curve, auc, precision_recall_curve, average_precision_score\n", "from sklearn.model_selection import train_test_split, StratifiedKFold\n", "from sklearn.ensemble import RandomForestClassifier\n", "\n", "\n", "# matplotlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import cnames\n", "from matplotlib import colors as mcolors\n", "from matplotlib import colors\n", "#cnames = dict((k, v) for k, v in cnames.items() if 'dark' in k) # get only dark colors\n", "cnames = {k: colors.cnames[k] for k in ['red', 'green', 'blue', 'black', 'yellow', 'purple', 'brown']}\n", "\n", "\n", "%matplotlib inline\n", "\n", "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.linear_model import LogisticRegression\n", "from sklearn.naive_bayes import GaussianNB\n", "from sklearn.ensemble import GradientBoostingClassifier\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.svm import SVC\n", "from catboost import CatBoostClassifier" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "def is_numeric(x):\n", " \"\"\"Check whether an object is numeric.\"\"\"\n", " try:\n", " x+0\n", " return True\n", " except:\n", " return False\n", "\n", "col_names = ['Topic0','Topic1','Topic2','Topic3','p1','p2','p3','p4','p5','p6','Label']\n", "#col_names = ['Topic0','Topic1','Topic2','Topic3','Label']\n", "# Load Data\n", "#data = pd.read_csv('/Users/Marco/Documents/MATLAB/Fraud_Triangle_Final_v4.csv', encoding='latin1', low_memory=False)\n", "#data1 = pd.read_csv('/Users/marcp/OneDrive - Escuela Politécnica Nacional/2019A/Investigacion/Corpus/DataSet/Triangulo Fraude/experimentacion2/corex/Comparativa Datasets/Students_topic3.csv', encoding='latin1', low_memory=False, skiprows=1, names=col_names)\n", "#data = pd.read_csv('/Users/marcp/OneDrive - Escuela Politécnica Nacional/2019A/Investigacion/Corpus/DataSet/Triangulo Fraude/Classifier-analysis_new_dataset_3_def_addcol.csv', encoding='latin1', low_memory=False, skiprows=1, names=col_names)\n", "data = pd.read_csv('/Users/marcp/OneDrive - Escuela Politécnica Nacional/2019A/Investigacion/Corpus/DataSet/Triangulo Fraude/experimentacion2/Comparativa Datasets/Syntetic_AllTopics.csv', encoding='latin1', low_memory=False, skiprows=1, names=col_names)\n", "#data = pd.read_csv('/Users/marcp/OneDrive - Escuela Politécnica Nacional/Documentos/MATLAB/Fraud_Triangle_Final_v5.csv', encoding='latin1', low_memory=False)\n", "#data = pd.read_csv('/Users/marcp/OneDrive - Escuela Politécnica Nacional/Documentos/MATLAB/Fraud_Triangle_Final_v2.csv', encoding='latin1', low_memory=False)\n", "\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(14111, 11)\n", "['Topic0' 'Topic1' 'Topic2' 'Topic3' 'p1' 'p2' 'p3' 'p4' 'p5' 'p6' 'Label']\n" ] } ], "source": [ "print (data.shape)\n", "#print (data1.shape)\n", "print (data.columns.values)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Machine Learning Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We split the data into training and testing set:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "#X = data[['Topic0', 'Topic1','Topic2','Topic3']].values\n", "X = data[['Topic0', 'Topic1','Topic2','Topic3','p1','p2','p3','p4','p5','p6']].values\n", "y = data['Label'].values\n", "#X1 = data1[['Topic0', 'Topic1','Topic2','Topic3']].values\n", "#X1 = data1[['Topic0', 'Topic1','Topic2','Topic3','p1','p2','p3','p4','p5','p6']].values\n", "#y1 = data1['Label'].values\n", "#display(X.shape, y.shape)\n", "#display(X1.shape, y1.shape)\n", "\n" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(11288, 10)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(11288,)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(2823, 10)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(2823,)" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(2823, 10)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import sys\n", "X_train,X_test,y_train,y_test = train_test_split(X,y,test_size=0.20,random_state=0)\n", "display(X_train.shape, y_train.shape, X_test.shape, y_test.shape)\n", "np.set_printoptions(threshold=sys.maxsize)\n", "#print(X_test)\n", "display(X_test.shape)\n", "#print(X1)\n" ] }, { "cell_type": "code", "execution_count": 352, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(9653, 4)" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[[0.29 0. 0.05 0.66]\n", " [0.02 0. 0.31 0.67]\n", " [0.13 0. 0.01 0.86]\n", " [0.16 0.3 0.04 0.5 ]\n", " [0.05 0. 0. 0.95]\n", " [0.01 0. 0.36 0.63]\n", " [0.1 0. 0. 0.89]\n", " [0.29 0. 0.14 0.56]\n", " [0.01 0. 0.26 0.72]\n", " [0. 0. 0.17 0.83]\n", " [0.03 0. 0.4 0.57]\n", " [0.34 0. 0.06 0.6 ]\n", " [0.02 0. 0.32 0.66]\n", " [0.2 0.04 0.37 0.39]\n", " [0.08 0. 0.01 0.91]\n", " [0. 0. 0. 1. 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0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n" ] } ], "source": [ "y1_test = np.concatenate((y_test, y1))\n", "y_test=y1_test\n", "print (y_test)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "RandomForestClassifier(criterion='entropy', random_state=0)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#logreg = LogisticRegression(C=10, class_weight=None, dual=False, fit_intercept=True,intercept_scaling=1, penalty='l2', random_state=None, tol=0.0001)\n", "gb_bench = GradientBoostingClassifier()\n", "rf_bench = RandomForestClassifier(n_estimators = 100, criterion = 'entropy', random_state = 0)\n", "# instantiate model\n", "#logreg = LogisticRegression()\n", "gb_bench.fit(X_train, y_train)\n", "rf_bench.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# make class predictions for the testing set\n", "y_pred_class1 = gb_bench.predict(X_test)\n", "y_pred_class2 = rf_bench.predict(X_test)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.7421183138505136\n", "0.7445979454481049\n" ] } ], "source": [ "# calculate accuracy\n", "from sklearn import metrics\n", "print(metrics.accuracy_score(y_test, y_pred_class1))\n", "print(metrics.accuracy_score(y_test, y_pred_class2))" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0.05996477, 0.75140901, 0.60847066, 0.77125406, 0.20809141,\n", " 0.1221557 , 0.12305413, 0.0510702 , 0.577927 , 0.55362404])" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# print the first 10 predicted probabilities for class 1\n", "gb_bench.predict_proba(X_test)[0:10, 1]" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# store the predicted probabilities for class 1\n", "y_pred_prob1 = gb_bench.predict_proba(X_test)\n", "y_pred_prob2 = rf_bench.predict_proba(X_test)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "roc_auc1 = metrics.roc_auc_score(y_test, y_pred_prob1[:,1])\n", "roc_auc2 = metrics.roc_auc_score(y_test, y_pred_prob2[:,1])" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# IMPORTANT: first argument is true values, second argument is predicted probabilities\n", "\n", "# we pass y_test and y_pred_prob\n", "# we do not use y_pred_class, because it will give incorrect results without generating an error\n", "# roc_curve returns 3 objects fpr, tpr, thresholds\n", "# fpr: false positive rate\n", "# tpr: true positive rate\n", "fpr1, tpr1, thresholds = metrics.roc_curve(y_test, y_pred_prob1[:,1])\n", "fpr2, tpr2, thresholds = metrics.roc_curve(y_test, y_pred_prob2[:,1])\n", "plt.figure()\n", "plt.plot(fpr1, tpr1, color='red', label='ROC curve GB (area = %0.2f)' % roc_auc1)\n", "plt.plot(fpr2, tpr2, color='blue', label='ROC curve RF (area = %0.2f)' % roc_auc2)\n", "plt.plot([0, 1], [0, 1], color='navy', linestyle='--')\n", "plt.xlim([0.0, 1.0])\n", "plt.ylim([0.0, 1.0])\n", "plt.rcParams['font.size'] = 12\n", "plt.title('ROC curve for fraud classifier')\n", "plt.xlabel('False Positive Rate (1 - Specificity)')\n", "plt.ylabel('True Positive Rate (Sensitivity)')\n", "plt.legend(loc=\"lower right\")\n", "plt.show()\n", "\n" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "# define a function that accepts a threshold and prints sensitivity and specificity\n", "def evaluate_threshold(threshold):\n", " print(\"Sensitivity: %.02f\" % tpr[thresholds > threshold][-1])\n", " print('Specificity: %.02f' % (1 - fpr[thresholds > threshold][-1]))" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'tpr' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mevaluate_threshold\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0.5\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m\u001b[0m in \u001b[0;36mevaluate_threshold\u001b[1;34m(threshold)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;31m# define a function that accepts a threshold and prints sensitivity and specificity\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mevaluate_threshold\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mthreshold\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Sensitivity: %.02f\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mtpr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mthresholds\u001b[0m \u001b[1;33m>\u001b[0m \u001b[0mthreshold\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Specificity: %.02f'\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mfpr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mthresholds\u001b[0m \u001b[1;33m>\u001b[0m \u001b[0mthreshold\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'tpr' is not defined" ] } ], "source": [ "evaluate_threshold(0.5)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "ename": "NameError", "evalue": "name 'tpr' is not defined", "output_type": "error", "traceback": [ "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mevaluate_threshold\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;36m0.4\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[1;32m\u001b[0m in \u001b[0;36mevaluate_threshold\u001b[1;34m(threshold)\u001b[0m\n\u001b[0;32m 1\u001b[0m \u001b[1;31m# define a function that accepts a threshold and prints sensitivity and specificity\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 2\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mevaluate_threshold\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mthreshold\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m\"Sensitivity: %.02f\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mtpr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mthresholds\u001b[0m \u001b[1;33m>\u001b[0m \u001b[0mthreshold\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 4\u001b[0m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Specificity: %.02f'\u001b[0m \u001b[1;33m%\u001b[0m \u001b[1;33m(\u001b[0m\u001b[1;36m1\u001b[0m \u001b[1;33m-\u001b[0m \u001b[0mfpr\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mthresholds\u001b[0m \u001b[1;33m>\u001b[0m \u001b[0mthreshold\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;33m-\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", "\u001b[1;31mNameError\u001b[0m: name 'tpr' is not defined" ] } ], "source": [ "evaluate_threshold(0.4)" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.8948633858176231\n", "0.8766519476204497\n" ] } ], "source": [ "# IMPORTANT: first argument is true values, second argument is predicted probabilities\n", "print(metrics.roc_auc_score(y_test, y_pred_prob1[:,1]))\n", "print(metrics.roc_auc_score(y_test, y_pred_prob2[:,1]))" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.9030075962794541" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# calculate cross-validated AUC\n", "cross_val_score(gb_bench, X, y, cv=10, scoring='roc_auc').mean()\n", "cross_val_score(gb_bench, X, y, cv=10, scoring='roc_auc').mean()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 1 }