{ "cells": [ { "cell_type": "code", "execution_count": 34, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2setosa
14.93.01.40.2setosa
24.73.21.30.2setosa
34.63.11.50.2setosa
45.03.61.40.2setosa
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "iris = sns.load_dataset(\"iris\")\n", "iris.head()" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.set()\n", "sns.pairplot(iris, hue=\"species\");\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 1" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Les deux variables explicatives qui semblent le mieux séparer les espèces sont `sepal_with` et `petal_length`" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "X = iris.values[:,1:3]\n", "y = iris.values[:,4]" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "X_train = X[:90]\n", "y_train = y[:90]\n", "X_test = X[90:]\n", "y_test = y[90:]" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 2" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Les données `X` et `y` n'étaient pas mélangées: les espèces sont regroupées. En particulier, l'échantillon de test ne contient quasiment que des espèces virginica, alors que l'échantillon d'apprentissage ne contient aucune espèce virginica. Cela fausserait donc et l'apprentissage et le test. Il faut donc au préalable mélanger le jeu de données." ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "from sklearn.utils import shuffle\n", "X, y = shuffle(X,y)\n", "\n", "X_train = X[:90]\n", "y_train = y[:90]\n", "X_test = X[90:]\n", "y_test = y[90:]" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9666666666666667\n", "0.95\n" ] } ], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "\n", "knn = KNeighborsClassifier(n_neighbors=3)\n", "knn.fit(X_train, y_train)\n", "print(knn.score(X_train,y_train))\n", "print(knn.score(X_test,y_test))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 3" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Le score empirique mesure la proportion de bonnes prédictions, alors que le risque empirique mesure la proportion de mauvaises prédictions (lorsqu la fonction de perte considérée est la perte 0-1). Donc: score = 1 - risque empirique" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 4" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "knn = {}\n", "score_train = []\n", "score_test = []\n", "\n", "k_range = range(1,21)\n", "\n", "for k in k_range:\n", " knn[k] = KNeighborsClassifier(n_neighbors=k)\n", " knn[k].fit(X_train,y_train)\n", " score_train.append(knn[k].score(X_train,y_train))\n", " score_test.append(knn[k].score(X_test,y_test))\n", "\n", "plt.plot(list(k_range),score_train)\n", "plt.plot(list(k_range),score_test)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "La valeur $k=5$ semble ici donner le meilleur score de test. " ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9833333333333333\n", "0.95\n", "0.9333333333333333\n" ] } ], "source": [ "def best_knn_score(X,y):\n", " k_range=range(1,21)\n", " score_test = []\n", " X, y = shuffle(X,y)\n", " X_train = X[:90]\n", " y_train = y[:90]\n", " X_test = X[90:]\n", " y_test = y[90:]\n", " for k in k_range:\n", " knn = KNeighborsClassifier(n_neighbors=k)\n", " knn.fit(X_train,y_train)\n", " score_test.append(knn.score(X_test,y_test))\n", " return max(score_test)\n", "\n", "print(best_knn_score(X,y))\n", "print(best_knn_score(X,y))\n", "print(best_knn_score(X,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Le résultat est différent à chaque fois. Cela est dû à au mélange aléatoire des données par `shuffle(X,y)`." ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 6" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9581666666666666\n" ] } ], "source": [ "def best_knn_score_avg(X,y):\n", " scores = []\n", " for i in range(100):\n", " scores.append(best_knn_score(X,y))\n", " return np.mean(scores)\n", "\n", "print(best_knn_score_avg(X,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 7" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9606666666666668\n" ] } ], "source": [ "X_ = X.copy()\n", "X_[:,0] = X_[:,0]/100\n", "\n", "print(best_knn_score_avg(X_,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Le score reste similaire " ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.832333333333333\n" ] } ], "source": [ "X_ = X.copy()\n", "X_[:,1] = X_[:,1]/100\n", "\n", "print(best_knn_score_avg(X_,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Le score est cette fois-ci détérioré." ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "# Question 8" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9436666666666668\n" ] } ], "source": [ "from sklearn import preprocessing\n", "X_scaled = preprocessing.scale(X)\n", "\n", "print(best_knn_score_avg(X_scaled,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "En l'occurence, cela n'améliore pas le score, il est même légèrement détérioré." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "autoscroll": false, "ein.hycell": false, "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.9778333333333333\n" ] } ], "source": [ "X = iris.values[:,0:4]\n", "y = iris.values[:,4]\n", "print(best_knn_score_avg(X,y))" ] }, { "cell_type": "markdown", "metadata": { "ein.tags": "worksheet-0", "slideshow": { "slide_type": "-" } }, "source": [ "Le score est meilleur." ] } ], "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": "3.8.1" }, "name": "tp2-correction.ipynb" }, "nbformat": 4, "nbformat_minor": 2 }