{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Evaluating classification algorithms on simulated single tracks\n", "\n", "This notebook uses the classifier trained via \"inspect_single_tracks.ipynb\" and evaluates their performance. Execute each cell one after the other. Many functions, like setting up the neural networks or calucalting the confusion matrix are defined in: \"analysis_utils.py\".\n", "\n", "## Load libraries and settings" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "from analysis_utils import analysis_utils\n", "from joblib import load\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LogNorm\n", "from sklearn.metrics import roc_curve\n", "from sklearn.metrics import accuracy_score\n", "from sklearn.metrics import matthews_corrcoef\n", "import tensorflow as tf\n", "\n", "ana_utils = analysis_utils()\n", "\n", "#MAKE CHANGES HERE\n", "#*******************************************************************\n", "charge = -1 #Choose -1 / 1 (negative / positive) for selecting a specific particle charge\n", "ana_add_name = 'demo' #--> Change this to customize the name of the produced plots and trained networks\n", "#(However, it should be consistent with the name you used in 'inspect_single_tracks.py')\n", "n_df_rows = 0 #Change this to a number > 0, if you want to print out the first n_df_rows rows of the dataframe\n", "#*******************************************************************" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load data frame" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "dataDir = 'http://hadron.physics.fsu.edu/~dlersch/Intro_To_ML_2021/data/'\n", "particle_dict = {\n", " -1: ['Neg_LepPi_DF_small','Electrons','Negative Pions'], #--> You may remove the '_small' and anlyze the full data set discussed in the lecture \n", " 1: ['Pos_LegPi_DF_small','Positrons','Positive Pions'] #however, the analysis might take significantly longer \n", "}\n", "\n", "plot_dict = {\n", " -1: ['electrons','neg_pions','neg_particles'],\n", " 1: ['positrons','pos_pions','pos_particles'],\n", "}\n", "\n", "data_df = pd.read_csv(dataDir + particle_dict[charge][0] + '.csv')\n", "features = ['p','theta','ddEdx_CDC','dE_BCAL','ddEdx_FDC','dE_FCAL']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load trained neural networks" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "scikit_mlp_classifier = load('scikit_mlp_' + plot_dict[charge][2] + '_' + ana_add_name + '.joblib')\n", "keras_mlp_classifier = tf.keras.models.load_model('keras_mlp_' + plot_dict[charge][2] + '_' + ana_add_name + '.h5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Add model predictions to the data frame" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "X = data_df[features]\n", "Y = data_df['label']\n", "\n", "scikit_probabilities = scikit_mlp_classifier.predict_proba(X)\n", "scikit_labels = scikit_mlp_classifier.predict(X) #--> The labels (0,1) are obtained for a threshold that has been optimized internally\n", "\n", "keras_probabilities = keras_mlp_classifier.predict(X)\n", "#--> Will deal later with the threshold value\n", "\n", "data_df['scikit_prob_lep'] = scikit_probabilities[:,1] #--> mlp_probabilities[:,0] would yield the output distribution for pion tracks\n", "data_df['scikit_label'] = scikit_labels\n", "\n", "data_df['keras_prob_lep'] = keras_probabilities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get model responses" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.rcParams.update({'font.size': 30})\n", "fig_out,ax_out = plt.subplots(1,2,sharey=True,figsize=(20,10))\n", "\n", "ax_out[0].hist(data_df[data_df['label']==1.0]['scikit_prob_lep'],100,alpha=0.5,facecolor='g',label=plot_dict[charge][0],log=True)\n", "ax_out[0].hist(data_df[data_df['label']==0.0]['scikit_prob_lep'],100,alpha=0.5,facecolor='r',label=plot_dict[charge][1],log=True)\n", "\n", "ax_out[0].set_xlabel('Scikit MLP Repsonse')\n", "ax_out[0].set_ylabel('Entries [a.u.]')\n", "ax_out[0].legend()\n", "ax_out[0].grid(True)\n", "\n", "ax_out[1].hist(data_df[data_df['label']==1.0]['keras_prob_lep'],100,alpha=0.5,facecolor='g',label=plot_dict[charge][0],log=True)\n", "ax_out[1].hist(data_df[data_df['label']==0.0]['keras_prob_lep'],100,alpha=0.5,facecolor='r',label=plot_dict[charge][1],log=True)\n", "\n", "ax_out[1].set_xlabel('TF/Keras MLP Repsonse')\n", "ax_out[1].legend()\n", "ax_out[1].grid(True)\n", "\n", "fig_out.savefig('classifier_response_' + plot_dict[charge][2] + '_' + ana_add_name + '.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get roc curves for both classifiers" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fpr_lep_scikit, tpr_lep_scikit, th_lep_scikit = roc_curve(data_df['label'],data_df['scikit_prob_lep'],pos_label=1)\n", "fpr_lep_keras, tpr_lep_keras, th_lep_keras = roc_curve(data_df['label'],data_df['keras_prob_lep'],pos_label=1)\n", "\n", "fig_roc,ax_roc = plt.subplots(figsize=(12,10))\n", "\n", "ax_roc.plot(fpr_lep_scikit,tpr_lep_scikit,'ko',label='Scikit')\n", "ax_roc.plot(fpr_lep_keras,tpr_lep_keras,'rd',label='TF/Keras')\n", "ax_roc.plot([0.0,1.0],[0.0,1.0],'b--',linewidth=3.0,label='Random Guess')\n", "ax_roc.plot([0.0],[1.0],'ms',markersize=10,label='Optimum')\n", "ax_roc.set_xlabel('False Positive Rate')\n", "ax_roc.set_ylabel('True Positive Rate')\n", "ax_roc.legend()\n", "ax_roc.grid(True)\n", "\n", "fig_roc.savefig('ROC_' + plot_dict[charge][2] + '_' + ana_add_name + '.png')\n", "\n", "roc_optimum_scikit, opt_fpr_scikit, opt_tpr_scikit, opt_thresh_scikit, scanned_d_scikit = ana_utils.get_optimum_from_roc(fpr_lep_scikit, tpr_lep_scikit, th_lep_scikit)\n", "roc_optimum_keras, opt_fpr_keras, opt_tpr_keras, opt_thresh_keras, scanned_d_keras = ana_utils.get_optimum_from_roc(fpr_lep_keras, tpr_lep_keras, th_lep_keras)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Display ROC-optima" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "Scikit Neural Network:\n", "---------------\n", "Minimum d(t): 0.009388250000000008\n", "TPR: 0.9248\n", "FPR: 0.0611\n", "Threshold t: 0.4732094460641198\n", "---------------\n", " \n", "TF/Keras Neural Network:\n", "--------------\n", "Minimum d(t): 0.009417280000000007\n", "TPR: 0.9228\n", "FPR: 0.0588\n", "Threshold t: 0.46482834\n", "--------------\n", " \n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print(\" \")\n", "print(\"Scikit Neural Network:\")\n", "print(\"---------------\")\n", "print(\"Minimum d(t): \" + str(roc_optimum_scikit))\n", "print(\"TPR: \" + str(opt_tpr_scikit))\n", "print(\"FPR: \" + str(opt_fpr_scikit))\n", "print(\"Threshold t: \" + str(opt_thresh_scikit))\n", "print(\"---------------\")\n", "\n", "print(\" \")\n", "print(\"TF/Keras Neural Network:\")\n", "print(\"--------------\")\n", "print(\"Minimum d(t): \" + str(roc_optimum_keras))\n", "print(\"TPR: \" + str(opt_tpr_keras))\n", "print(\"FPR: \" + str(opt_fpr_keras))\n", "print(\"Threshold t: \" + str(opt_thresh_keras))\n", "print(\"--------------\")\n", "print(\" \")\n", "\n", "\n", "fig_d,ax_d = plt.subplots(figsize=(12,10))\n", "ax_d.plot(th_lep_scikit,scanned_d_scikit,'ko',markersize=10,label='Scikit')\n", "ax_d.plot(th_lep_keras,scanned_d_keras,'rd',markersize=10,label='TF/Keras')\n", "ax_d.set_xlabel(\"Threshold t\")\n", "ax_d.set_ylabel(r'$d(t) = FPR(t)^{2} + (1.0-TPR(t))^{2}$')\n", "ax_d.set_xlim(0.0,1.02)\n", "ax_d.legend()\n", "ax_d.grid(True)\n", "\n", "fig_d.savefig('ROC_threshold_scan_' + plot_dict[charge][2] + '_' + ana_add_name + '.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get confusion matrix for each classifier" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#First, get the keras label:\n", "keras_labels = np.where(keras_probabilities >= opt_thresh_keras,1.0,0.0)\n", "data_df['keras_label'] = keras_labels\n", "\n", "fig_cm_scikit,ax_cm_scikit = ana_utils.get_confusion_matrix(data_df,'label','scikit_label',[0,1],'Confusion Matrix Scikit')\n", "fig_cm_keras,ax_cm_keras = ana_utils.get_confusion_matrix(data_df,'label','keras_label',[0,1],'Confusion Matrix TF/Keras')\n", "\n", "fig_cm_scikit.savefig('confusion_matrix_scikit_' + plot_dict[charge][2] + '-' + ana_add_name + '.png')\n", "fig_cm_keras.savefig('confusion_matrix_keras_' + plot_dict[charge][2] + '_' + ana_add_name + '.png')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate accuracy and Matthews Correlation Coefficient (MCC) for each classifier" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " \n", "Scikit Neural Network:\n", "---------------\n", "Accuracy: 0.932\n", "MCC: 0.8641833818870176\n", "---------------\n", " \n", "Keras Neural Network:\n", "--------------\n", "Accuracy: 0.932\n", "MCC: 0.864146295068292\n", "--------------\n", " \n" ] } ], "source": [ "accuracy_scikit = accuracy_score(data_df['label'],scikit_labels)\n", "mcc_scikit = matthews_corrcoef(data_df['label'],scikit_labels)\n", "\n", "accuracy_keras = accuracy_score(data_df['label'],keras_labels)\n", "mcc_keras = matthews_corrcoef(data_df['label'],keras_labels)\n", "\n", "print(\" \")\n", "print(\"Scikit Neural Network:\")\n", "print(\"---------------\")\n", "print(\"Accuracy: \" + str(accuracy_scikit))\n", "print(\"MCC: \" + str(mcc_scikit))\n", "print(\"---------------\")\n", "\n", "print(\" \")\n", "print(\"Keras Neural Network:\")\n", "print(\"--------------\")\n", "print(\"Accuracy: \" + str(accuracy_keras))\n", "print(\"MCC: \" + str(mcc_keras))\n", "print(\"--------------\")\n", "print(\" \")\n", "\n", "#-------------------------------------\n", "if n_df_rows > 0:\n", " print(\"--> Show dataframe\")\n", " print(\" \")\n", " print(data_df.head(n_df_rows))\n", " print(\" \")\n", "#-------------------------------------" ] } ], "metadata": { "interpreter": { "hash": "aee8b7b246df8f9039afb4144a1f6fd8d2ca17a180786b69acc140d282b71a49" }, "kernelspec": { "display_name": "Python 3.8.6 64-bit", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.6" }, "orig_nbformat": 4 }, "nbformat": 4, "nbformat_minor": 2 }