{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gender Recognition by Voice Using Numerical Algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Importing Data" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:34:51.534325Z", "start_time": "2023-04-21T16:34:51.462530Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import seaborn as sns\n", "import numpy as np\n", "\n", "sns.set(font_scale=1.5)\n", "\n", "data = pd.read_csv(\"data/cleaned/voice_data.csv\")\n", "X_train = pd.read_csv(\"data/cleaned/X_train.csv\")\n", "y_train = pd.read_csv(\"data/cleaned/y_train.csv\")\n", "X_test = pd.read_csv(\"data/cleaned/X_test.csv\")\n", "y_test = pd.read_csv(\"data/cleaned/y_test.csv\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:34:51.568967Z", "start_time": "2023-04-21T16:34:51.533326Z" } }, "outputs": [ { "data": { "text/html": [ "
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meanfreqmedianQ25Q75IQRsdlog_skewlog_kurtsp.entsfmmodemeanfunlog_minfunexp_maxfunmodindxmeandommindommaxdomdfrangelabel
0-4.049248-4.224901-2.576102-5.693607-0.2147780.4273552.9258923.177486-0.0390830.471575-2.141210-1.812038-1.3844860.636793-1.454772-1.564205-0.708404-1.431422-1.419137male
1-3.841053-3.999293-2.486885-5.588987-0.2584850.6116694.0327214.022523-0.0652360.594431-2.141210-1.079594-1.369352-0.524133-1.014103-1.561916-0.708404-1.418107-1.405818male
2-3.463066-4.095851-2.706986-3.9286990.9093261.6038484.6750894.506253-1.0837300.398261-2.141210-1.365368-1.3901310.404082-1.065344-1.563866-0.708404-1.429203-1.416917male
3-0.992157-0.759454-0.901418-0.7112050.6326900.899998-0.927599-0.8377091.5163831.797340-1.054576-1.666966-1.143909-0.5241330.614286-1.195367-0.708404-1.273867-1.261532male
4-1.530640-1.676948-1.268395-0.7920291.0055881.322561-1.055855-0.8076351.7083362.114740-0.790514-1.127233-1.2397250.1892380.289046-0.221660-0.7084040.1241540.136933male
\n", "
" ], "text/plain": [ " meanfreq median Q25 Q75 IQR sd log_skew \\\n", "0 -4.049248 -4.224901 -2.576102 -5.693607 -0.214778 0.427355 2.925892 \n", "1 -3.841053 -3.999293 -2.486885 -5.588987 -0.258485 0.611669 4.032721 \n", "2 -3.463066 -4.095851 -2.706986 -3.928699 0.909326 1.603848 4.675089 \n", "3 -0.992157 -0.759454 -0.901418 -0.711205 0.632690 0.899998 -0.927599 \n", "4 -1.530640 -1.676948 -1.268395 -0.792029 1.005588 1.322561 -1.055855 \n", "\n", " log_kurt sp.ent sfm mode meanfun log_minfun exp_maxfun \\\n", "0 3.177486 -0.039083 0.471575 -2.141210 -1.812038 -1.384486 0.636793 \n", "1 4.022523 -0.065236 0.594431 -2.141210 -1.079594 -1.369352 -0.524133 \n", "2 4.506253 -1.083730 0.398261 -2.141210 -1.365368 -1.390131 0.404082 \n", "3 -0.837709 1.516383 1.797340 -1.054576 -1.666966 -1.143909 -0.524133 \n", "4 -0.807635 1.708336 2.114740 -0.790514 -1.127233 -1.239725 0.189238 \n", "\n", " modindx meandom mindom maxdom dfrange label \n", "0 -1.454772 -1.564205 -0.708404 -1.431422 -1.419137 male \n", "1 -1.014103 -1.561916 -0.708404 -1.418107 -1.405818 male \n", "2 -1.065344 -1.563866 -0.708404 -1.429203 -1.416917 male \n", "3 0.614286 -1.195367 -0.708404 -1.273867 -1.261532 male \n", "4 0.289046 -0.221660 -0.708404 0.124154 0.136933 male " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:34:51.708578Z", "start_time": "2023-04-21T16:34:51.568967Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "RangeIndex: 3168 entries, 0 to 3167\n", "Data columns (total 20 columns):\n", " # Column Non-Null Count Dtype \n", "--- ------ -------------- ----- \n", " 0 meanfreq 3168 non-null float64\n", " 1 median 3168 non-null float64\n", " 2 Q25 3168 non-null float64\n", " 3 Q75 3168 non-null float64\n", " 4 IQR 3168 non-null float64\n", " 5 sd 3168 non-null float64\n", " 6 log_skew 3168 non-null float64\n", " 7 log_kurt 3168 non-null float64\n", " 8 sp.ent 3168 non-null float64\n", " 9 sfm 3168 non-null float64\n", " 10 mode 3168 non-null float64\n", " 11 meanfun 3168 non-null float64\n", " 12 log_minfun 3168 non-null float64\n", " 13 exp_maxfun 3168 non-null float64\n", " 14 modindx 3168 non-null float64\n", " 15 meandom 3168 non-null float64\n", " 16 mindom 3168 non-null float64\n", " 17 maxdom 3168 non-null float64\n", " 18 dfrange 3168 non-null float64\n", " 19 label 3168 non-null object \n", "dtypes: float64(19), object(1)\n", "memory usage: 495.1+ KB\n" ] } ], "source": [ "data.info()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The meaning of the features are as follows:\n", "\n", "* `meanfreq`: mean frequency (in kHz)\n", "* `median`: median frequency (in kHz)\n", "* `Q25`: first quantile (in kHz)\n", "* `Q75`: third quantile (in kHz)\n", "* `IQR`: inter-quantile range (in kHz)\n", "* `sd`: standard deviation of frequency\n", "* `log_skew`: skewness after logarithmic transformation\n", "* `log_kurt`: kurtosis after logarithmic transformation\n", "* `sp.ent`: spectral entropy\n", "* `sfm`: spectral flatness\n", "* `mode`: mode frequency\n", "* `log_meanfun`: average of fundamental frequency measured across acoustic signal\n", "* `log_minfun`: minimum fundamental frequency measured across acoustic signal after logarithmic transformation\n", "* `exp_maxfun`: maximum fundamental frequency measured across acoustic signal after exponential transformation\n", "* `modindx`: modulation index\n", "* `meandom`: average of dominant frequency measured across acoustic signal\n", "* `mindom`: minimum of dominant frequency measured across acoustic signal\n", "* `maxdom`: maximum of dominant frequency measured across acoustic signal\n", "* `dfrange`: range of dominant frequency measured across acoustic signal\n", "* `label`: male or female" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extracting Important Features\n", "\n", "In order to explore more models, we will firstly only use the two most important features `meanfun` and `IQR`, which makes the model simpler and easier to interpret." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:34:51.749468Z", "start_time": "2023-04-21T16:34:51.614538Z" } }, "outputs": [], "source": [ "X_train_important = X_train[[\"meanfun\", \"IQR\"]]\n", "X_test_important = X_test[[\"meanfun\", \"IQR\"]]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Logistic Regression\n", "\n", "In logistic regression, we try to use regression to predict the probability of the label, which is $p(y=\\mathtt{male}\\mid X=X_i)$.\n", "\n", "The general form of logistic regression is as follows:\n", "$$\n", "\\begin{align}\n", "\\hat{p}(y=k\\mid X=x) &= \\frac{e^{\\beta_{k0}+\\beta_{k}^T x}}{1+\\sum_{l=1}^{K-1} e^{\\beta_{l0}+\\beta_{l}^T x}} , &k=1,\\cdots,K-1\\\\\n", "\\hat{p}(y=K\\mid X=x) &= \\frac{1}{1+\\sum_{l=1}^{K-1} e^{\\beta_{l0}+\\beta_{l}^T x}}\n", "\\end{align}\n", "$$\n", "\n", "Since we only have two classes, we can simplify the model to:\n", "$$\n", "\\hat{p}(y=\\mathtt{male}\\mid X=x) = \\frac{e^{\\beta_0+\\beta^T x}}{1+e^{\\beta_0+\\beta^T x}}=\\frac{1}{1+e^{-(\\beta_0+\\sum_{i=1}^n \\beta_i x_i)}}\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For ease of interpretation, we will use only one feature first, which is `meanfun`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:40:21.917208Z", "start_time": "2023-04-21T16:40:20.908960Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta_0: -0.18\n", "beta_1: -5.68\n", "Training set accuracy: 0.95\n", "Test set accuracy: 0.95\n", "True Positive Rate: 0.9623\n", "True Negative Rate: 0.9286\n", "False Positive Rate: 0.0714\n", "False Negative Rate: 0.0377\n", "Training set accuracy: 0.9519\n", "Test set accuracy: 0.9458\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.metrics import confusion_matrix\n", "from sklearn.linear_model import LogisticRegression\n", "\n", "logreg = LogisticRegression(random_state=87).fit(\n", " X_train_important[[\"meanfun\"]], y_train.squeeze()\n", ")\n", "print(\"beta_0: {:.2f}\".format(logreg.intercept_[0]))\n", "print(\"beta_1: {:.2f}\".format(logreg.coef_[0][0]))\n", "print(\n", " \"Training set accuracy: {:.2f}\".format(\n", " logreg.score(X_train_important[[\"meanfun\"]], y_train.squeeze())\n", " )\n", ")\n", "print(\n", " \"Test set accuracy: {:.2f}\".format(\n", " logreg.score(X_test_important[[\"meanfun\"]], y_test)\n", " )\n", ")\n", "sns.heatmap(\n", " confusion_matrix(y_test, logreg.predict(X_test_important[[\"meanfun\"]])),\n", " annot=True,\n", " fmt=\"d\",\n", ")\n", "\n", "TN, FP, FN, TP = confusion_matrix(\n", " y_test, logreg.predict(X_test_important[[\"meanfun\"]])\n", ").ravel()\n", "TPR_logreg_1 = TP / (TP + FN)\n", "TNR_logreg_1 = TN / (TN + FP)\n", "FPR_logreg_1 = FP / (FP + TN)\n", "FNR_logreg_1 = FN / (FN + TP)\n", "\n", "print(\"True Positive Rate: {:.4f}\".format(TPR_logreg_1))\n", "print(\"True Negative Rate: {:.4f}\".format(TNR_logreg_1))\n", "print(\"False Positive Rate: {:.4f}\".format(FPR_logreg_1))\n", "print(\"False Negative Rate: {:.4f}\".format(FNR_logreg_1))\n", "\n", "logreg_1_train_accuracy = logreg.score(\n", " X_train_important[[\"meanfun\"]], y_train.squeeze()\n", ")\n", "logreg_1_test_accuracy = logreg.score(X_test_important[[\"meanfun\"]], y_test.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(logreg_1_train_accuracy))\n", "print(\"Test set accuracy: {:.4f}\".format(logreg_1_test_accuracy))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We try to plot the regression line of the model." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:01.401110Z", "start_time": "2023-04-21T16:34:53.908602Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_plot = X_test_important[[\"meanfun\"]]\n", "y_plot = y_test[\"label\"] == \"male\"\n", "plt.figure(figsize=(20, 10))\n", "sns.regplot(\n", " x=x_plot,\n", " y=y_plot,\n", " logistic=True,\n", " scatter_kws={\"color\": \"black\"},\n", " line_kws={\"color\": \"red\"},\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We try to use the two most important features." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:01.863985Z", "start_time": "2023-04-21T16:35:01.404103Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta_0: -0.3139\n", "beta_1: -4.7399\n", "beta_2: 2.1494\n", "Training set accuracy: 0.9676\n", "Test set accuracy: 0.9668\n", "True Positive Rate: 0.9795\n", "True Negative Rate: 0.9536\n", "False Positive Rate: 0.0464\n", "False Negative Rate: 0.0205\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "logreg = LogisticRegression(random_state=87).fit(X_train_important, y_train.squeeze())\n", "print(\"beta_0: {:.4f}\".format(logreg.intercept_[0]))\n", "print(\"beta_1: {:.4f}\".format(logreg.coef_[0][0]))\n", "print(\"beta_2: {:.4f}\".format(logreg.coef_[0][1]))\n", "print(\n", " \"Training set accuracy: {:.4f}\".format(\n", " logreg.score(X_train_important, y_train.squeeze())\n", " )\n", ")\n", "print(\"Test set accuracy: {:.4f}\".format(logreg.score(X_test_important, y_test)))\n", "\n", "logreg_2_train_accuracy = logreg.score(X_train_important, y_train.squeeze())\n", "logreg_2_test_accuracy = logreg.score(X_test_important, y_test.squeeze())\n", "\n", "TN, FP, FN, TP = confusion_matrix(y_test, logreg.predict(X_test_important)).ravel()\n", "TPR_logreg_2 = TP / (TP + FN)\n", "TNR_logreg_2 = TN / (TN + FP)\n", "FPR_logreg_2 = FP / (FP + TN)\n", "FNR_logreg_2 = FN / (FN + TP)\n", "\n", "print(\"True Positive Rate: {:.4f}\".format(TPR_logreg_2))\n", "print(\"True Negative Rate: {:.4f}\".format(TNR_logreg_2))\n", "print(\"False Positive Rate: {:.4f}\".format(FPR_logreg_2))\n", "print(\"False Negative Rate: {:.4f}\".format(FNR_logreg_2))\n", "\n", "sns.heatmap(\n", " confusion_matrix(y_test, logreg.predict(X_test_important)), annot=True, fmt=\"d\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We try to plot the probability of the label for the model." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:03.216869Z", "start_time": "2023-04-21T16:35:01.803149Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/nicole/opt/anaconda3/lib/python3.9/site-packages/sklearn/base.py:450: UserWarning: X does not have valid feature names, but LogisticRegression was fitted with feature names\n", " warnings.warn(\n", "/var/folders/xj/7wr0m80s2mn861gbh0yh2x_40000gn/T/ipykernel_26402/2654750433.py:8: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.\n", " plt.colorbar()\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20, 15))\n", "x_plot = np.linspace(\n", " X_train_important[\"meanfun\"].min(), X_train_important[\"meanfun\"].max(), 100\n", ")\n", "y_plot = np.linspace(\n", " X_train_important[\"IQR\"].min(), X_train_important[\"IQR\"].max(), 100\n", ")\n", "X_plot, Y_plot = np.meshgrid(x_plot, y_plot)\n", "Z_plot = logreg.predict_proba(\n", " pd.DataFrame(np.array([X_plot.ravel(), Y_plot.ravel()]).T)\n", ")[:, 1].reshape(X_plot.shape)\n", "plt.contour(X_plot, Y_plot, Z_plot, levels=[0.5], colors=\"black\")\n", "plt.contourf(X_plot, Y_plot, Z_plot, levels=100, cmap=\"RdBu\", vmin=0, vmax=1)\n", "plt.colorbar()\n", "sns.scatterplot(\n", " X_train_important, x=\"meanfun\", y=\"IQR\", hue=y_train[\"label\"], sizes=(20, 200)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we try to use all the features." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:03.766550Z", "start_time": "2023-04-21T16:35:03.215872Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "beta_0: -0.6418\n", "beta_1: 0.1690\n", "beta_2: -0.1417\n", "beta_3: -1.0284\n", "beta_4: 0.7247\n", "beta_5: 1.5705\n", "beta_6: 0.3725\n", "beta_7: 0.7337\n", "beta_8: -0.9051\n", "beta_9: 0.9139\n", "beta_10: -1.5073\n", "beta_11: 0.0187\n", "beta_12: -4.7360\n", "beta_13: 0.5180\n", "beta_14: -0.1442\n", "beta_15: -0.2730\n", "beta_16: -0.0305\n", "beta_17: -0.1243\n", "beta_18: 0.0205\n", "beta_19: 0.0227\n" ] } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "\n", "logreg = LogisticRegression(random_state=87, max_iter=1000).fit(\n", " X_train, y_train.squeeze()\n", ")\n", "print(\"beta_0: {:.4f}\".format(logreg.intercept_[0]))\n", "for i, beta in enumerate(logreg.coef_[0]):\n", " print(\"beta_{}: {:.4f}\".format(i + 1, beta))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:03.767547Z", "start_time": "2023-04-21T16:35:03.259754Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.9781\n", "Test set accuracy: 0.9650\n", "True Positive Rate: 0.9760\n", "True Negative Rate: 0.9536\n", "False Positive Rate: 0.0464\n", "False Negative Rate: 0.0240\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "logreg_3_train_accuracy = logreg.score(X_train, y_train)\n", "logreg_3_test_accuracy = logreg.score(X_test, y_test)\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(logreg.score(X_train, y_train.squeeze())))\n", "print(\"Test set accuracy: {:.4f}\".format(logreg.score(X_test, y_test.squeeze())))\n", "\n", "TN, FP, FN, TP = confusion_matrix(y_test, logreg.predict(X_test)).ravel()\n", "TPR_logreg_3 = TP / (TP + FN)\n", "TNR_logreg_3 = TN / (TN + FP)\n", "FPR_logreg_3 = FP / (FP + TN)\n", "FNR_logreg_3 = FN / (FN + TP)\n", "\n", "print(\"True Positive Rate: {:.4f}\".format(TPR_logreg_3))\n", "print(\"True Negative Rate: {:.4f}\".format(TNR_logreg_3))\n", "print(\"False Positive Rate: {:.4f}\".format(FPR_logreg_3))\n", "print(\"False Negative Rate: {:.4f}\".format(FNR_logreg_3))\n", "\n", "sns.heatmap(confusion_matrix(y_test, logreg.predict(X_test)), annot=True, fmt=\"d\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We try to summarize the performance of the logistic regression model." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:03.768546Z", "start_time": "2023-04-21T16:35:03.606825Z" } }, "outputs": [ { "data": { "text/html": [ "
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ModelTraining AccuracyTest Accuracy
0Logistic Regression with 1 feature0.9518810.945804
1Logistic Regression with 2 features0.9676290.966783
2Logistic Regression with all features0.9781280.965035
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" ], "text/plain": [ " Model Training Accuracy Test Accuracy\n", "0 Logistic Regression with 1 feature 0.951881 0.945804\n", "1 Logistic Regression with 2 features 0.967629 0.966783\n", "2 Logistic Regression with all features 0.978128 0.965035" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = pd.DataFrame(\n", " {\n", " \"Model\": [\n", " \"Logistic Regression with 1 feature\",\n", " \"Logistic Regression with 2 features\",\n", " \"Logistic Regression with all features\",\n", " ],\n", " \"Training Accuracy\": [\n", " logreg_1_train_accuracy,\n", " logreg_2_train_accuracy,\n", " logreg_3_train_accuracy,\n", " ],\n", " \"Test Accuracy\": [\n", " logreg_1_test_accuracy,\n", " logreg_2_test_accuracy,\n", " logreg_3_test_accuracy,\n", " ],\n", " }\n", ")\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All the accuracy scores for Logistic Regression models are quite good, with the highest accuracy achieved using all features. The True Positive Rate and True Negative Rate are consistently high across all models. The False Positive Rate is also low, meaning that the model correctly identifies most of the negative cases. The False Negative Rate is the highest with the one-feature model, but it decreases as we add more features.\n", "\n", "Overall, the Logistic Regression model performs well on this dataset, and adding more features improves its performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## K-Nearest Neighbors\n", "\n", "K-nearest neighbors is a simple algorithm that stores all available cases and classifies new cases based on a similarity measure (e.g., distance functions)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following code trains a k-nearest neighbors (KNN) classifier with k=1, using the training set. It then evaluates the accuracy of the model on both the training set and the test set.\n", "\n", "The confusion matrix is then calculated using the trained KNN model and the test set, and the true positive rate, true negative rate, false positive rate, and false negative rate are calculated from the confusion matrix.\n", "\n", "Finally, a heatmap of the confusion matrix is plotted using the seaborn library." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:05.122924Z", "start_time": "2023-04-21T16:35:03.623931Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 1.0000\n", "Test set accuracy: 0.9755\n", "True Positive Rate: 0.9726\n", "True Negative Rate: 0.9786\n", "False Positive Rate: 0.0214\n", "False Negative Rate: 0.0274\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "\n", "knn = KNeighborsClassifier(n_neighbors=1).fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(knn.score(X_train, y_train.squeeze())))\n", "print(\"Test set accuracy: {:.4f}\".format(knn.score(X_test, y_test.squeeze())))\n", "\n", "TN, FP, FN, TP = confusion_matrix(y_test, knn.predict(X_test)).ravel()\n", "TPR_knn = TP / (TP + FN)\n", "TNR_knn = TN / (TN + FP)\n", "FPR_knn = FP / (FP + TN)\n", "FNR_knn = FN / (FN + TP)\n", "\n", "print(\"True Positive Rate: {:.4f}\".format(TPR_knn))\n", "print(\"True Negative Rate: {:.4f}\".format(TNR_knn))\n", "print(\"False Positive Rate: {:.4f}\".format(FPR_knn))\n", "print(\"False Negative Rate: {:.4f}\".format(FNR_knn))\n", "\n", "sns.heatmap(confusion_matrix(y_test, knn.predict(X_test)), annot=True, fmt=\"d\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The K-Nearest Neighbors model has a high training set accuracy of $1.0000$ and a test set accuracy of $0.9755$. The true positive rate and the true negative rate are high, indicating that the model performs well at correctly identifying both male and female speakers. The false positive rate and the false negative rate are low, which suggests that there is a small risk of misclassifying a male or female speaker. Overall, the K-Nearest Neighbors model performs well on this classification task." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Support Vector Machines\n", "\n", "Support vector machines are a powerful and flexible class of supervised algorithms for both classification and regression. They are particularly well suited for classification of complex but small- or medium-sized datasets.\n", "\n", "The main idea of SVM is to find a hyperplane that can separate the data. The hyperplane is the decision boundary that separates the data into different classes. The goal is to find the hyperplane that has the largest distance to the nearest data points of any class. This is called the maximum margin hyperplane." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:06.106905Z", "start_time": "2023-04-21T16:35:05.126913Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.9904\n", "Test set accuracy: 0.9790\n", "True Positive Rate: 0.9863\n", "True Negative Rate: 0.9714\n", "False Positive Rate: 0.0286\n", "False Negative Rate: 0.0137\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.svm import SVC\n", "\n", "svm = SVC(random_state=87).fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(svm.score(X_train, y_train.squeeze())))\n", "print(\"Test set accuracy: {:.4f}\".format(svm.score(X_test, y_test.squeeze())))\n", "sns.heatmap(confusion_matrix(y_test, svm.predict(X_test)), annot=True, fmt=\"d\")\n", "\n", "TN, FP, FN, TP = confusion_matrix(y_test, svm.predict(X_test)).ravel()\n", "TPR_svm = TP / (TP + FN)\n", "TNR_svm = TN / (TN + FP)\n", "FPR_svm = FP / (FP + TN)\n", "FNR_svm = FN / (FN + TP)\n", "\n", "print(\"True Positive Rate: {:.4f}\".format(TPR_svm))\n", "print(\"True Negative Rate: {:.4f}\".format(TNR_svm))\n", "print(\"False Positive Rate: {:.4f}\".format(FPR_svm))\n", "print(\"False Negative Rate: {:.4f}\".format(FNR_svm))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### SVM with All Features\n", "\n", "Now we will use all features to train the SVM model." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:06.115919Z", "start_time": "2023-04-21T16:35:06.101917Z" } }, "outputs": [], "source": [ "from sklearn.svm import SVC\n", "\n", "\n", "def train_with_all_features(kernel):\n", " svm = SVC(random_state=87, kernel=kernel).fit(X_train, y_train.squeeze())\n", "\n", " train_accuracy = svm.score(X_train, y_train)\n", " test_accuracy = svm.score(X_test, y_test)\n", "\n", " print(\"Training set accuracy: {:.6f}\".format(train_accuracy))\n", " print(\"Test set accuracy: {:.6f}\".format(test_accuracy))\n", " sns.heatmap(confusion_matrix(y_test, svm.predict(X_test)), annot=True, fmt=\"d\")\n", "\n", " TN, FP, FN, TP = confusion_matrix(y_test, svm.predict(X_test)).ravel()\n", " TPR = TP / (TP + FN)\n", " TNR = TN / (TN + FP)\n", " FPR = FP / (FP + TN)\n", " FNR = FN / (FN + TP)\n", "\n", " return train_accuracy, test_accuracy, TPR, TNR, FPR, FNR" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Linear Kernel" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:06.738255Z", "start_time": "2023-04-21T16:35:06.116917Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.979878\n", "Test set accuracy: 0.973776\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(\n", " train_accuracy_svm_all_linear,\n", " test_accuracy_svm_all_linear,\n", " TPR_svm_all_linear,\n", " TNR_svm_all_linear,\n", " FPR_svm_all_linear,\n", " FNR_svm_all_linear,\n", ") = train_with_all_features(\"linear\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Polynomial Kernel" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:07.428346Z", "start_time": "2023-04-21T16:35:06.739252Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.984252\n", "Test set accuracy: 0.972028\n" ] }, { "data": { "image/png": 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+///x2QMHDqSiosKlH2+qMhcR7+GGNovVamXGjBlO47t27QLOPMOqrKyM8PBwh+NhYWfe9ZuVlUXXrl05ceKE05yQkBCsVitZWTVvP1UyFxHvUYvdLPn5+eTn5zuNBwUFERR0/vcJfPHFFyxfvpxbbrmF06fPPPLaanV8REdgYCAAdrv9nHPOzvv5Quq5KJmLiPeoRWW+du1alixZ4jSemJhIUlLSOc9LS0tjwoQJtGrVilmzZlVV1b/8Bf1Zvr6+Ve+KqG6OYRj4+tbcEVcyFxHvUYtkHh8fX+1jSs5XlW/bto0nnniCtm3bsmLFCoKDgzl16sybxX5ZXZ/922azVVXk1VXghYWF2Gy2GuNVMhcRr2FUuN5mcaWd8nOrV69m3rx5REVF8fLLL1cl4DZt2mCxWMjJyXGYf/bv8PBwAgMDCQ0NJTs722FOXl4edrvdqZdeHe1mERHv4aYfDW3YsIG5c+cSExPDihUrHCrpgIAAunfvzs6dOx1evbljxw5sNhudO3cGoGfPnuzevZvS0lKHORaLhaioqBpjUGUuIl6jNlsOXZWXl8fs2bO58soriY2N5cCBAw7H27Rpw8SJExk9ejRTpkxh2LBh7Nu3j5UrVzJt2jSaNGkCwLhx49i6dSvjx48nPj6eY8eOsWDBAoYPH07Lli1rjEMP2pJ6SQ/akupc6IO2/hvfz+W5Tdd+6NK8TZs28fjjj5/zeHJyMrfffjsffPABKSkpZGVlERoaSmxsLGPGjHGYu3fvXpKTk8nIyCA4OJg77riDpKQk/Pz8aoxDyVzqJSVzqc4FJ/O4WiTz11xL5vWF2iwi4jWMcvM+NVHJXES8h3lzuZK5iHgPdyyA1hdK5iLiPVSZi4g0fKrMRUTMQJW5iEjDZ5R7OgL3UTIXEa9hqDIXETEBJXMRkYZPlbmIiAkomYuImIBRUf3bfsxAyVxEvIYqcxEREzAqVZmLiDR4qsxFREzAMFSZi4g0eKrMRURMoFK7WUREGj4tgIqImICSuYiICXj29fXupWQuIl5DlbmIiAloa6KIiAlUaDeLiEjDZ+bK3NfTAYiI1BWj0sflz6+VkZFBp06d+O677xzGb731Vjp06OD0+fHHH6vm7N+/n7i4OCIjI7nppptYsGABZWVlLt1XlbmIeA1372bJzMwkISGB8nLHl40WFBSQm5vLtGnTiIqKcjgWFBQEQHZ2NqNGjSIyMpJFixZx9OhRFi5ciN1uZ+bMmTXeW8lcRLyGu3azlJeXs379eubPn4+fn5/T8UOHDmEYBv369SMiIqLaayxfvhybzcbSpUvx9/cnOjqaxo0bM2vWLBISEggNDT1vDGqziIjXqKj0dflTG2lpabz44ouMGTOG6dOnOx3PyMggICCAtm3bnvMaqamp9OnTB39//6qxgQMHUlFRwZ49e2qMQclcRLyGYbj+qY2IiAh27dpFYmIiFovF6fihQ4do1qwZU6dOpXv37kRGRjJlyhROnjwJQFFRESdOnCA8PNzhvJCQEKxWK1lZWTXGoDaLiHiNylrsZsnPzyc/P99pPCgoqKrPfVaLFi3Oe62DBw9y6tQprrrqKuLi4sjMzCQlJYWRI0eyceNGTp8+DYDVanU6NzAwELvdXmO8SuYi4jVqszVx7dq1LFmyxGk8MTGRpKSkWt13xowZGIZB165dAejevTsRERHcf//9bN68mejoaAB8fJzjMwwDX9+amyhK5iLiNWrTPomPj2fYsGFO47+syl3RpUsXp7Fu3bphs9k4ePAggwYNAqi2Ai8sLMRms9V4DyVzEfEatWmzVNdO+TUKCwvZvn07nTp14uqrr64aNwyDsrIygoODCQwMJDQ0lOzsbIdz8/LysNvtTr306ng8mVujEjwdgtRDRd9+5ukQxIRqu0vlYggICGDevHlERUU5tG0+/PBDiouLq/ad9+zZk927d/PYY49V7WjZsWMHFovFaW96dTyezEVE6oonnoBrsViYOHEic+fOZdasWfTt25fDhw+zePFi+vXrx/XXXw/AuHHj2Lp1K+PHjyc+Pp5jx46xYMEChg8fTsuWLWu8j5K5iHiN2rRZLqbRo0djtVpZt24dGzZsoGnTpowYMcJhITUiIoJVq1aRnJzMpEmTCA4OZvTo0S4vtvoYhmcf197I/0pP3l7qKbVZpDp+Ldpd0Pmpl9/t8tye3/35gu5V11SZi4jXqPR0AG6kZC4iXsPAvI/AVTIXEa9RbuLnmSuZi4jXUGUuImIC6pmLiJiAKnMRERNQZS4iYgIVqsxFRBo+N701rl5QMhcRr1GpylxEpOHz6LNL3EzJXES8hhZARURMoLKa17KZhZK5iHiNCk8H4EZK5iLiNbSbRUTEBLSbRUTEBLSbRUTEBNRmERExAW1NFBExgQpV5iIiDZ8qcxERE1AyFxExARO/AlTJXES8hypzERETMPPP+X09HYCISF2p9HH982tlZGTQqVMnvvvuO4fxPXv2cNddd9G1a1f69u3LqlWrnM7dv38/cXFxREZGctNNN7FgwQLKyspcuq+SuYh4jcpafH6NzMxMEhISKC8vdxhPT09nwoQJtGvXjsWLFzNkyBCSk5NZuXJl1Zzs7GxGjRpFQEAAixYtYsyYMaxevZrnn3/epXurzSIiXsNdPfPy8nLWr1/P/Pnz8fPzczqekpJCx44deeGFFwDo1asX5eXlLFu2jLi4OPz9/Vm+fDk2m42lS5fi7+9PdHQ0jRs3ZtasWSQkJBAaGnreGFSZi4jXMGrxqY20tDRefPFFxowZw/Tp0x2OlZSUsHfvXvr37+8wPmDAAPLz80lPTwcgNTWVPn364O/vXzVn4MCBVFRUsGfPnhpjUDIXEa/hrp55REQEu3btIjExEYvF4nAsNzeXsrIywsPDHcbDwsIAyMrKoqioiBMnTjjNCQkJwWq1kpWVVWMMarOIiNeozW6W/Px88vPzncaDgoIICgpyGGvRosU5r3P69GkArFarw3hgYCAAdrv9nHPOzrPb7TXGq2QuIl6jshYNlLVr17JkyRKn8cTERJKSkly+jmGcuafPOV5Z5+vre945hmHg61tzE0XJXES8Rm0WQOPj4xk2bJjT+C+r8prYbDYAp+r67N82m62qIq+uAi8sLKy6xvkomYuI16jNwmZ17ZRfo02bNlgsFnJychzGz/4dHh5OYGAgoaGhZGdnO8zJy8vDbrc79dKrowVQEfEa7t5nXp2AgAC6d+/Ozp07q9opADt27MBms9G5c2cAevbsye7duyktLXWYY7FYiIqKqvE+SuYi4jXq4heg1Zk4cSLp6elMmTKFTz75hEWLFrFy5UoSEhJo0qQJAOPGjePkyZOMHz+e3bt3V/1gaPjw4bRs2bLGeyiZi4jXqMBw+XMx3XjjjSxevJijR4/y8MMP89577/HYY4/x4IMPVs2JiIhg1apVFBYWMmnSJFavXs3o0aN56qmnXLqHj/Hzut8DGvlf6cnbSz1V9O1nng5B6iG/Fu0u6Pzftb3f5bnPH3vzgu5V17QAKiJeozZbExsaJXMR8RrmTeVK5iLiRfRyCnGbPr178uwz0+nSpSP5+af58ztbmfnMPAoKCj0dmrhB6j/SeHXNWxw4dAQfXx+6drqapAdH0rXzNVVzvjr4NQtfWc0XXx7A19eX7pHXMv3hBwkPa+VwrfQvvuSlV9fy1cGvCbJZ6dvrRh4e+wDBzZrW9ddqMC72wmZ9ogVQD+od3YMd779Nevq/WffaBlq3bklS4ljS0/fTu++dePh/Go8y4wLov/b9mzFJT9A+PIxhg/pTXlHB+o1b+OFUHuuWvsi1HTuQlf0N946dROPGAcSPOPPrw7Vv/QUDg3fWLOWyS5sD8M/0f5Mw9SlsViuxdw/F19eX1/60iaZBNl5fNp+mQTX/YrAhutAF0MltR7g896Vjb1/QveqaKnMPmjfvaXJyjtOn390UFxcDkJPzLUsWz2FA/968v2O3hyOUi2neS69y+WWX8uYfF9KkcWMAhsb0Y+j943np1bWseGkOr/1pI4VFRaxdmsw1v2kPQFS3rtw37hHWrd/I9MRxADy/8BUsvhZeXzafNq3O7EHuF92DO0c+xPJ1b/No4oPVB+HlDBNX5tpn7iEBAQGcOpnHylVvViVygE8/+xsA1157zblOlQbov/mnOXQkiwF9b65K5AAtQoLpHnktX3x5AIBvvv2O4GZBVYkc4NprOtCsaRBfZx4D4PiJ7/k68xhDBvatSuQA7cJa07vn9WzevqtuvlQD5IlfgNYVVeYeUlJSwqAhDziNd+3aCYCc3ON1HZK4kTXwEra89UeHRH7WTz/lVz0DO6zVlfx97+f8+J+fCAluBpz5h+C03c6lzUMA+P7kKQCuatfW6VptWl3Brk9SOfH9Sa4IvdQ9X6YBM/PWRFXm9USbNlcyMm44ixb8gf1fZrBp0/ueDkkuIovFQljrK6t63mcdOpLFvv0H+L9rOwIwJvZuQi9twWPPzuPQkSwOH83i0Wfm4tfIj9h7hgJwyf/+QSgoLHK6z0//PfNc7FM//ujOr9NguetNQ/WBKvN6IDi4GZlH/glAQUEhjzzyNCUlJR6OStytsLCIJ//wIgBjH7gHgCsuv4wHR97LnAVLuSv+IQAsFl8WzHqqqvUSEd4Ga+AlfPBxKuPihlc9A7ukpJTUf6YBUFri2hvdvU15g0zTrlFlXg8YhsF9sROJHz2JAxmH2fH+29x55yBPhyVuVFRcTOLjz3HoSCZjHxjOdZFdAFi8fB2/f2Ex/9elI/OeeYw5T0+n8zUdmPb083y85+8A+Pn5MXLEnRw49DWPP5fM4aNZHDx8lCkzZlNUdGb9xdLIcs57ezOjFv9paLQ1sZ5p3LgxX+z7ED8/P9q1r/mxl2Zlxq2JZ+WftvPwY8+w798HGDa4P79/4hF8fHzIP22n99D7uapdW95cvrCqj15WXs6IsZM59eN/+OCdNfj7+1NZWckLi//IG3/eTGXlmeW63j2vJ7JLRxa+spr33vyj0750M7jQrYlj2t7t8txVx/58QfeqazW2Wb7//vtaXTA0NPRXByNQXFzM1m27mJQ0jubNg8nL+4+nQ5KLKO8/P5Ew5SkOfp3JPbfHMPPRpKo2SfY3xyktLeO2W3s7vBTYr1EjBvXvw4KlK8nM/oarr2qHr68vj09OYGzccHJyj3N56KW0vDyUl15dg8XiS8vLL/PUV6zXGmLF7aoak3m/fv2oqHD9NagZGRkXFJC36NAhgq3vvcGL819h2atrHY7ZbFYqKyspKSk9x9nSEBUUFFYl8pH3DuOxSeMdjvv7+QNQUeG8Me5s9W0YZ/572wcf06J5CFG/7UKLkOCqeWmff0nHDlcREODvrq/RoDXELYeuqjGZb9iwgYSEBEpLS5k2bRqNGmnN9GI4cuQYTZvaGD/+AVauepOysjMLVm3aXMmdw27j00//jt1e4OEo5WKatWApB7/O5IF7bndK5ADtw9twWYvmvLvtA2LvHlqVkEtKStn8/i6CmwXR/n/bEdet30hxcQl/XvMyjf7XH//kr/8k/d9fMXvGtDr7Tg1NhYl/VV1jZr7mmmtYs2YN99xzDydPnuShhx6qi7hMr6KigslTnmbdmsXs/vAd3njzHZo3D+ahiaMxDIPJU2Z4OkS5iI4ey+G99z/EZg3k6qsieG/HR05zhgzoy5NTJzJ1xhxGPDiZOwcPoLKyko1bdpKV/Q3PPz0dv/8VU2Nj72HKjNk8/Ngz3BLdg+MnfmDd+r/Q8/puDO7fp66/XoNh5n3mLi+AvvHGG8yfP59du3YREhJy0QLw9gXQu+8ewqPTH6Jzpw4UFBTy0e5Unp45j6+/zvR0aB5ltgXQ9Ru38ocXl5x3zpep2wH4R9rnvLL6Tb7KOAzANb9pz/j4Edx0Q3eH+dt2fczK1zaQ881xmocEM+jWPowbObzaHyaZxYUugN4XdofLc9/K3nRB96prLifziooK0tLSaN++vZK5uJ3ZkrlcHBeazO+tRTJf38CSucsNcFffEC0iUl+Zuc2i1UwR8RpevTVRRMQsvHo3i4iIWajNIiJiAl79oyEREbNQz1xExATUZhERMQF3PSS2vLyc3/72t07vIbjkkkvYt28fAHv27GHhwoUcOXKE5s2b88ADDzBmzJiLFoOSuYh4jQo3VeZZWVmUlJQwb9482rZtWzXu63vmlRHp6elMmDCBmJgYJk+eTFpaGsnJyRiGwdixYy9KDErmIuI13NVmOXjwIL6+vgwYMIAmTZo4HU9JSaFjx4688MILAPTq1Yvy8nKWLVtGXFwc/v4X/pRLvWlIRLyGYRguf2ojIyODNm3aVJvIS0pK2Lt3L/3793cYHzBgAPn5+aSnp1/QdzpLyVxEvEYlhsuf2jh06BD+/v6MHTuWyMhIrrvuOmbOnIndbic3N5eysjLCw8MdzgkLCwPOtGguBrVZRMRr1GZrYn5+Pvn5+U7jQUFBBAUFOYwdPHgQu93OPffcw4QJE/jyyy9ZvHgxWVlZTJ06FQCr1epwTmBgIAB2u722X6NaSuYi4jVq83P+tWvXsmSJ82OLExMTSUpKchhbuHAhTZs2pUOHDgBcd911NG/enEcffZTU1FSAqtcD/tLZRdILpWQuIl6jNu2T+Ph4hg0b5jT+y6ocqPaJsr1793b4+5cV+Nm/bTabyzGdj5K5iHiN2iTz6top1cnLy+Ojjz7ihhtuoHXr1lXjxcXFADRv3hyLxUJOTo7DeWf//mUv/dfSAqiIeA137Gbx8fFh5syZvP766w7j27Ztw2Kx0KNHD7p3787OnTsdrrtjxw5sNhudO3e+KN9NlbmIeA137DMPCQkhNjaW1157DavVSvfu3UlLS2PZsmXExsYSFhbGxIkTGT16NFOmTGHYsGHs27ePlStXMm3atGq3M/4aLr82zl302jipjl4bJ9W50NfGXdeyl8tz//Xtpy7PLSsrY82aNbzzzjscP36c0NBQhg8fzrhx46oWOD/44ANSUlLIysoiNDSU2NjYi/pzfiVzqZeUzKU6F5rMf3vFTS7PTT+x54LuVdfUZhERr+Hh2tWtlMxFxGvoEbgiIiagl1OIiJhApdosIiINnypzERETqDDM+0pnJXMR8Rpqs4iImIDaLCIiJqDKXETEBFSZi4iYQIVR4ekQ3EbJXES8hn7OLyJiAvo5v4iICagyFxExAe1mERExAe1mERExAf2cX0TEBNQzFxExAfXMRURMQJW5iIgJaJ+5iIgJqDIXETEB7WYRETEBLYCKiJiA2iwiIiagX4CKiJiAKnMRERMwc8/cxzDzP1UiIl7C19MBiIjIhVMyFxExASVzERETUDIXETEBJXMRERNQMhcRMQElcxERE1AyFxExASVzERETUDKvB7Zs2cKgQYPo0qULMTExbNq0ydMhST2SkZFBp06d+O677zwditRjSuYetn37dqZPn07Pnj15+eWXiYqK4vHHH+f999/3dGhSD2RmZpKQkEB5ebmnQ5F6Ts9m8bBbb72Vzp07s3DhwqqxRx55hEOHDrF9+3YPRiaeVF5ezvr165k/fz5+fn789NNPfPLJJ1x++eWeDk3qKVXmHpSbm0tOTg79+/d3GB8wYACZmZnk5uZ6KDLxtLS0NF588UXGjBnD9OnTPR2ONABK5h6UmZkJQHh4uMN4WFgYAFlZWXUek9QPERER7Nq1i8TERCwWi6fDkQZAzzP3oNOnTwNgtVodxgMDAwGw2+11HpPUDy1atPB0CNLAqDL3oLPLFT4+PtWO+/rqfx4RcY2yhQfZbDbAuQIvKChwOC4iUhMlcw862yvPyclxGM/OznY4LiJSEyVzDwoLC6NVq1ZOe8p37txJ27ZtadmypYciE5GGRgugHvbwww/zu9/9jqZNm9K7d28++ugjtm/f7rDvXESkJkrmHnbnnXdSWlrKqlWr2LBhA61bt2bevHncdtttng5NRBoQ/QJURMQE1DMXETEBJXMRERNQMhcRMQElcxERE1AyFxExASVzERETUDIXETEBJXMRERNQMhcRMYH/B88YT+mHR/rqAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(\n", " train_accuracy_svm_all_poly,\n", " test_accuracy_svm_all_poly,\n", " TPR_svm_all_poly,\n", " TNR_svm_all_poly,\n", " FPR_svm_all_poly,\n", " FNR_svm_all_poly,\n", ") = train_with_all_features(\"poly\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Gaussian Kernel" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:08.089612Z", "start_time": "2023-04-21T16:35:07.429343Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.990376\n", "Test set accuracy: 0.979021\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(\n", " train_accuracy_svm_all_gaussian,\n", " test_accuracy_svm_all_gaussian,\n", " TPR_svm_all_gaussian,\n", " TNR_svm_all_gaussian,\n", " FPR_svm_all_gaussian,\n", " FNR_svm_all_gaussian,\n", ") = train_with_all_features(\"rbf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Sigmoid Kernel" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:08.709365Z", "start_time": "2023-04-21T16:35:08.091606Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 0.843832\n", "Test set accuracy: 0.837413\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(\n", " train_accuracy_svm_all_sigmoid,\n", " test_accuracy_svm_all_sigmoid,\n", " TPR_svm_all_sigmoid,\n", " TNR_svm_all_sigmoid,\n", " FPR_svm_all_sigmoid,\n", " FNR_svm_all_sigmoid,\n", ") = train_with_all_features(\"sigmoid\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Comparison among 4 SVM models\n", "\n", "Here are the comparison of the results of the different kernels:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "ExecuteTime": { "end_time": "2023-04-21T16:35:08.810607Z", "start_time": "2023-04-21T16:35:08.710363Z" } }, "outputs": [ { "data": { "text/html": [ "
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KernelTraining AccuracyTest AccuracyTrue Positive RateTrue Negative RateFalse Positive RateFalse Negative Rate
0Linear0.9798780.9737760.9760270.9714290.0285710.023973
1Polynomial0.9842520.9720280.9897260.9535710.0464290.010274
2Gaussian0.9903760.9790210.9863010.9714290.0285710.013699
3Sigmoid0.8438320.8374130.8458900.8285710.1714290.154110
\n", "
" ], "text/plain": [ " Kernel Training Accuracy Test Accuracy True Positive Rate \\\n", "0 Linear 0.979878 0.973776 0.976027 \n", "1 Polynomial 0.984252 0.972028 0.989726 \n", "2 Gaussian 0.990376 0.979021 0.986301 \n", "3 Sigmoid 0.843832 0.837413 0.845890 \n", "\n", " True Negative Rate False Positive Rate False Negative Rate \n", "0 0.971429 0.028571 0.023973 \n", "1 0.953571 0.046429 0.010274 \n", "2 0.971429 0.028571 0.013699 \n", "3 0.828571 0.171429 0.154110 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results = pd.DataFrame(\n", " {\n", " \"Kernel\": [\"Linear\", \"Polynomial\", \"Gaussian\", \"Sigmoid\"],\n", " \"Training Accuracy\": [\n", " train_accuracy_svm_all_linear,\n", " train_accuracy_svm_all_poly,\n", " train_accuracy_svm_all_gaussian,\n", " train_accuracy_svm_all_sigmoid,\n", " ],\n", " \"Test Accuracy\": [\n", " test_accuracy_svm_all_linear,\n", " test_accuracy_svm_all_poly,\n", " test_accuracy_svm_all_gaussian,\n", " test_accuracy_svm_all_sigmoid,\n", " ],\n", " \"True Positive Rate\": [\n", " TPR_svm_all_linear,\n", " TPR_svm_all_poly,\n", " TPR_svm_all_gaussian,\n", " TPR_svm_all_sigmoid,\n", " ],\n", " \"True Negative Rate\": [\n", " TNR_svm_all_linear,\n", " TNR_svm_all_poly,\n", " TNR_svm_all_gaussian,\n", " TNR_svm_all_sigmoid,\n", " ],\n", " \"False Positive Rate\": [\n", " FPR_svm_all_linear,\n", " FPR_svm_all_poly,\n", " FPR_svm_all_gaussian,\n", " FPR_svm_all_sigmoid,\n", " ],\n", " \"False Negative Rate\": [\n", " FNR_svm_all_linear,\n", " FNR_svm_all_poly,\n", " FNR_svm_all_gaussian,\n", " FNR_svm_all_sigmoid,\n", " ],\n", " }\n", ")\n", "results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that Gaussian SVM performs best with a high accuracy and balanced true positive and true negative rates. It may be the best performing model among the four SVMs." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Neural Network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We train a MLP neural network model with 2 hidden layers of 100 neurons each using the `MLPClassifier` class from scikit-learn. The model is trained on the training data (`X_train` and `y_train`) and its accuracy is evaluated on both the training and test sets. The training set accuracy and test set accuracy are printed to the console using the `score` method of the `MLPClassifier` object." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2023-04-14T00:35:07.952229Z", "start_time": "2023-04-14T00:34:59.023360Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 1.0000\n", "Test set accuracy: 0.9755\n" ] } ], "source": [ "from sklearn.neural_network import MLPClassifier\n", "\n", "mlp_2_layer = MLPClassifier(\n", " random_state=87, max_iter=1000, hidden_layer_sizes=(100, 100)\n", ").fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(mlp_2_layer.score(X_train, y_train)))\n", "print(\"Test set accuracy: {:.4f}\".format(mlp_2_layer.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a MLPClassifier model with 3 hidden layers of size 100 neurons" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2023-04-14T00:35:08.009226Z", "start_time": "2023-04-14T00:35:08.002496Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 1.0000\n", "Test set accuracy: 0.9755\n" ] } ], "source": [ "mlp_3_layer = MLPClassifier(\n", " random_state=87, max_iter=1000, hidden_layer_sizes=(100, 100, 100)\n", ").fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(mlp_3_layer.score(X_train, y_train)))\n", "print(\"Test set accuracy: {:.4f}\".format(mlp_3_layer.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We then create a 4-layer MLP classifier with 100 neurons in each hidden layer, fit it on the training data, and evaluate its accuracy on the training and test sets.\n", "Print the training set accuracy and test set accuracy." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 1.0000\n", "Test set accuracy: 0.9773\n" ] } ], "source": [ "mlp_4_layer = MLPClassifier(\n", " random_state=87, max_iter=1000, hidden_layer_sizes=(100, 100, 100, 100)\n", ").fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(mlp_4_layer.score(X_train, y_train)))\n", "print(\"Test set accuracy: {:.4f}\".format(mlp_4_layer.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create a MLP neural network classifier with 5 hidden layers, each having 100 neurons. It is trained using the training data (`X_train` and `y_train`), and its accuracy is evaluated on both the training and test sets using the `score` method. The training set accuracy and test set accuracy are then printed to the console." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Training set accuracy: 1.0000\n", "Test set accuracy: 0.9790\n" ] } ], "source": [ "mlp_5_layer = MLPClassifier(\n", " random_state=87, max_iter=1000, hidden_layer_sizes=(100, 100, 100, 100, 100)\n", ").fit(X_train, y_train.squeeze())\n", "\n", "print(\"Training set accuracy: {:.4f}\".format(mlp_5_layer.score(X_train, y_train)))\n", "print(\"Test set accuracy: {:.4f}\".format(mlp_5_layer.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a gradual improvement in test set accuracy as the number of layers increases, with the 5-layer MLP achieving the highest accuracy of 0.9790. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.2" } }, "nbformat": 4, "nbformat_minor": 1 }