{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "`matplotlib` 3.0.0 버전에서 3D 그래프가 작게 그려지는 버그 등이 있어서 2.2.3을 사용합니다." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPython 3.5.6\n", "IPython 6.5.0\n", "\n", "sklearn 0.20.1\n", "numpy 1.15.2\n", "scipy 1.1.0\n", "matplotlib 3.0.0\n" ] } ], "source": [ "%load_ext watermark\n", "%watermark -v -p sklearn,numpy,scipy,matplotlib" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide_input": false }, "outputs": [], "source": [ "from preamble import *" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## 지도 학습\n", "### 분류와 회귀" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 일반화, 과대적합, 과소적합" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### 모델 복잡도와 데이터셋 사이즈의 관계" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 지도 학습 알고리즘" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "caption": "Forge dataset", "label": "forge_scatter" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X.shape: (26, 2)\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 데이터셋을 만듭니다\n", "X, y = mglearn.datasets.make_forge()\n", "# 산점도를 그립니다\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "plt.legend([\"클래스 0\", \"클래스 1\"], loc=4)\n", "plt.xlabel(\"첫 번째 특성\")\n", "plt.ylabel(\"두 번째 특성\")\n", "print(\"X.shape: {}\".format(X.shape))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '타깃')" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEKCAYAAAD0Luk/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4wLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvqOYd8AAAEshJREFUeJzt3X+MZlV9x/HPZ2ehYaZ0JetUCnRnBSqbZpMm7BCFJrJFm0aIiQ1FDZMaQ8gIK39BVNJtG0g7gn/UpFXQbugPwQ0LSxNKJCHqH2AQCM5aTTZQU607gCjOJiCUQTfMfvvH8wzMzs7M82Puvefee96vZLI8zz5z77nD7P3ce8493+OIEAAgT5tSNwAAkA4hAAAZIwQAIGOEAABkjBAAgIwRAgCQscpDwPY7bN9v+0nbT9m+seo2AAA6XPU8AdvvkrQ1Ip6xvVnSs5IujoijlTYEAKDNVe8wIl6S9FL35bikNyW9XnU7AAAJQmCJ7dslTUv6XES8seLvprt/p7GxsV07duxI0EIAaK5Dhw4djYjxXp+rvDvohJ3bY5IekXRTRDy92mcmJydjdna22oYBQMPZPhQRk70+l2Jg+ALbS+m0IOlXks6ouh0AgDTdQb+R9KVuEIxKelzSNxO0AwCyl2Jg+Iikj1e9XwDAyZgsBgAZIwQAIGOEAABkjBAAgIwRAgCQMUIAADJGCABAxggBAMgYIQAAGSMEACBjhAAAZIwQAICMEQIAkDFCAAAyRggAQMYIAQDIGCEAABkjBAAgY4QAAGSMEACAjBECAJAxQgAAMkYIAEDGCAEAyBghAAAZIwQAIGOEAABkjBAAgIxVHgK2x2zfYfsx29+z/fmq2wAA6EhxJ7BF0r0Rcamk90q60vaZCdoBANnbXPUOI+JFSS92X45JOibplarbAQBIOCZge0TS3ZI+ExG/TtUOAMhZkhCwfYqkr0u6LyIeWeXvp23P2p6dn5+vvoEAkIkUA8OnSjog6aGIOLDaZyJiX0RMRsTk+Ph4tQ0E0Dj7989p+/aHtWnTQW3f/rD2759L3aTGqHxMQNK1knZL2mr7U933boqIQwnaAqDh9u+f0/T0IS0sLEqS5uYWND3dOZ1MTU2kbFojOCJSt2Fdk5OTMTs7m7oZAGpq+/aHNTe3cNL7ExOjOnLkigQtqgfbhyJistfnmCwGoNGee+7kAFjvfZyIEADQaNu2jQ70Pk5ECABotJmZnRodHTnhvdHREc3M7EzUomYhBAA02tTUhPbt26WJiVHZnbGAfft2MSjcJwaGAaCFGBgGAPRECABAxggBAMgYIQAAGSMEACCButQ7SlE7CACyVqd6R9wJAEBXVVfne/cefisAliwsLGrv3sOl7G893AkAgKq9Oq9TvSPuBABA1V6d16neESEAAKr26rxO9Y4IAQBQtVfndap3xJgAAKhzdb58TEAq9+p8amqiFkXuuBMAANXr6rxKVBEFgBaiiigAoCdCAAAyRggAQMYIAQDIGCEAABkjBAAgY4QAAGSMEACAjBECAJAxQgAAMlZ5CNi+wPYTtg9UvW+gTeqyRi2aLcWdwHsl/VOC/QKtsbQK1tzcgiLeXgWrrUFA4JWn8hCIiLsl/aLq/QJtUqc1asuWW+BVrZZjAranbc/anp2fn0/dHKB26rRGbdlyCrwUahkCEbEvIiYjYnJ8fDx1c4DaqdMatWXLKfBSqGUIAFhfndaoLVtOgZdi7IMQABoop1Wwcgm8VGMfrCwGoPb275/T3r2H9dxzC9q2bVQzMztbF3jbtz+submTu7gmJkZ15MgVA2+PlcUA1EIRXRxTUxM6cuQKHT9+lY4cuaJ1ASCtPcYxN7dQ6t0AIQCgNHV4vLMpcwzWG+Mo82dGCAAoTerHO+sQQv1abexjSZk/M0IAKEhTrjirlPrxztQhNIilwf61lPUzIwSAAjTpirNKqR/vTB1Cg5qamtDERLU/M0IAKECTrjirlPrxztQhNIyqf2aEAFCApl1xViX1fIbUITSMqn9mzBMAClD0M94oTg5zDFbT7zyBzVU0Bmi7mZmdmp4+dEKXUN2vOHMxNTWRxUl/WHQHAQVI3e0BDIvuIABoIcpGAAB6IgSAhmFSGorEwDDQIEuT0pYGoJcmpUli/AFD4U4AaBAmpaFohAAGQldEWkxKQ9EIAfSN+jjpNbEMAlZXlwsqQgB9oysivSaWQcDJ6nRBRQigb3RFpMektHao0wUVIYC+0RVRDymWWqxL10Vb1OmCihBA3+iKqLeyTtT9dF0QEoOp0wUVIYC+0RVRX2X2MffquqhT/3ZT1OmCitpBQAuUWcp606aDWu00YUvHj19FGe0hlV3imlLSQEbK7GPetm101ZP8UtdFnfq3m6QuJa6H7g6yTYAANVFmH3Ovros69W9jcGuGgO1/s/2vq3xt6X7kQdsja30/8rBnzyFt3vyA7IPavPkB7dlzaEPbK3uAsa0DmGX2MfcaC6pT/zYGt97V/F1rvP+67YslvRoRi2t8BhnYs+eQvvKV/33r9eJivPX6zjt3Dby9soujtbn42lL7y+pjXq/roux9o1zrDgzbPjUiji17faaksyX9g6SPRsQvy24gA8P1tXnzA1pcPPn3Z2TEevPNvxh4e2UPMLZtAHNpYHFubkEjI9biYmhighMwOopaVOZV2/9h++zu6yskfUvS/RsJANs32H7S9lO2PzbsdpDWagGw3vu9lD3A2KYBzOWPZUpv/8x5PBOD6hUC/yVpRtK9ts+LiH+RdK6kK23/8TA7tH2epGskXSrpTyXdYvuMYbaFtEZGPND7vZQ9wNimAczVnt1fQj0nDKJXCIxExPclXSnpnyUpIl5R5yR++5D7vEzSQxFxLCJek/QdSZcMuS0kND397oHe76XsAcY2DWD2untp4t0N0ugVApakiJiX9JDty7uv5yQ9OeTTQe+UdHTZ66OSxk/YqT1te9b27Pz8/BC7QBXuvHOXrr/+3Leu/EdGrOuvP3eoQWGp/BnJbZrx3OvupYl3N0ij18DwhRHxfdsPSfq0pAsj4j83tEP7OklbI2Km+/rLkr611nYZGAZOtvJJp+VGR0caG24ozoYHhm1fLWmH7SlJ50v6oKQx21cvfQ3ZtsclXW57xPZpknZLenrIbQFZWn5XI709DtPkuxuksd48gT9Y9t/3SdrW/e9Qp5toqEdAIuKw7W9IeqK7jS9GxM+H2RaQs7qUHUCzrRkCEXHryvds/66kL0fERzey04i4TdJtG9kGAGDj1h0Ytv3v3T9vk6Tu3ICzym8WAKAKvZ4Oek/3z90ltwMAkEC/VUSX9/8PNxMIAFA7vcpBn2P7r5b9aUnnlN8sAEAVet0J/I2kny378wVJf1t2o1BfbS3FDORq3TuBiPhaVQ1B/bW5FDOQKxaaR996LTgOoHkIAfStTaWYAXQQAuhb1aWYGX8AykcILMNJZ31VlmJevmhKBIulAGUhBLo46fRWZSlmxh+AaqxbSroOqiol3bb1Z5tu06aDWu1X05aOH7+q+gYNYWkNYBZfRwpFrTGcDQY966XI8YcU3XzcWaIpCIGuNq0/2wZFjT+kOhnTnYWmIAS62rT+bBsUNf6Q6mTMnSWaolftoGwsnVzow62PIhZNSXUy3rZtdNUxJu4sUTeEwDKs1NQ+qU7GMzM7T1oDmDtL1BHdQWi1VN18VT5OC2wEj4ii9XhUEznq9xFRQgAAWoh5AgCAnggBAMgYIQAAGSMEACBjhAAAZIwQaADWOQBQFmYM1xyLuwMoU5Z3Ak26sqYaJYAyVR4Cti+y/azt26vet9S8Ou9Uoyxfky4KgKKluBPYJekrCfYrqXlX1qxzUK6mXRQARas8BCLiq5JeLXMf613ZNe3KmnUOytW0iwKgaKWFgO3zbT+64muk93dKtqdtz9qenZ+fH2i/va7smnZlTTXKcjXtogAoWpICcrY/KWlHRNzc67ODFpDrtWD8yqdtpM6VNSfWPPX6fQGaKtsCcr2u7FJeWRc9AMmA5sbR3YbctW6eQD8rSaVYQazo5/2ZP1AMlhVF7lq3nkBdu3uK7nagGwPAerLtDqrrQGrRA5AMaAIoQuu6g6R6Lhhf9ILnqRZQB9AurbsTqKuiByAZ0ARQBEKgIkV3U9W12wtAs7RuYBgAkPHAMACgf4RADTDpC0AqhMCQijpxU8USQEqEwBCKPHFTxRJASoTAEIo8cTPpC0BKhMAQijxxN620NYB2IQQ0eP9+kSfuIid9McAMYFDZh8Aw/ftFnriLmvTFADOAYWQ/WWzYapz798/VqvwwVUUBLNfvZLFWFpAbxLD9+3UrUscAM4BhZN8d1JaB2bYcB4BqZR8CbanG2ZbjAFCt7EOgCdU4+3nqpwnHAaB+sh8Yrru6LpcJoN6oItoSlJUAUCZCoOZ46gdAmQiBmuOpHwBlIgRqjqd+AJSJEKg5nvoBUCaeDgKAFuLpIABAT4QAAGSMEACAjFUaArbHbd9j+zHbs7ZvqHL/AIATVV1KelzSFyLisO3TJP3U9h1R99FpAGipSkMgIp5Z9nKrpBcIAABIp7QQsH2+pLtWvP2BiFi0PSbpbknXlrV/AEBvpY0JRMSPI2L3iq9F26dLekDSrRHxg9W+1/Z0d8xgdn5+vqwm1hYLxgOoStUDw1skPajOuMBja30uIvZFxGRETI6Pj1fXwBpgwXgAVar6EdG9knZIusX2o92vsytuQ61ROhpAlaoeGP6spM9Wuc+moXQ0gCoxWaxmKB0NoEqEQM1QOhpAlQiBmqF0NIAqUUoaAFqIUtIAgJ4IAQDIGCEAABkjBAAgY4QAAGSMEACAjBECNUDVUACpVL2yGFZYqhq6VDRuqWqoJCaIASgddwKJUTUUQEqEQGJUDQWQEiGQGFVDAaRECCRG1VAAKRECiVE1FEBKVBEFgBaiiigAoCdCAAAyRggAQMYIAQDIGCEAABkjBAAgY4QAAGSMEACAjBECAJAxQgAAMkYIAEDGKg0B29tsP2z7CdtP2b66yv0DAE5U9fKSp0i6LiKet326pB/ZvjfqXsUOAFqq0hCIiJ8se3mOpHkCAADSKS0EbJ8v6a4Vb38gIhZt3yPpckmfWON7pyVNd1/+n+0f9djdOyUd3Uh7a4hjao42Hlcbj0lq53GtdUx9LUqSbD0B21slfUfSn0XECxvc1mw/dbObhGNqjjYeVxuPSWrncW30mKoeGP6j7liAJL0m6Zik366yDQCAt1U9MCxJ93SDYEzS1yPivxO0AQCg6geGfyjpIyVsel8J20yNY2qONh5XG49JaudxbeiYar/GMACgPMwYBoCMtSIE2jgT2fa47XtsP2Z71vYNqdtUBNsX2X7W9u2p27JRtm+w/WT3d+5jqdtTFNsXdP8tHUjdliLYHrN9R/ff0vdsfz51m4pg+x2271/2O3jjUNtpQ3eQ7fMkHVs+E1nS2U2eiGb7DyVtiojDtk+T9FNJv9fkY5Ik29dJOlXSWRFxc+r2DKv7O3dQ0vsk/ZakpyVdEhEvJ21YAWx/Qp0n9z4SER9P3Z6Nsn2WpHMj4nHbmyQ9K+nSiPhF4qZtiO13SdoaEc/Y3qzOcV0cEQPNg2jFnUBE/CQinu++bMVM5Ih4JiIOd19ulfRC049JkiLiq5JeTd2OAlwm6aGIOBYRr6kz5+WSxG0qRETcLanRJ8jlIuLFiHi8+3JMnYB7JWGTChERL0XEM92X45LelPT6oNtJ8YjohmxkJnJd9TimMUl3S7q2+pYNb71jStGeEqycpXlUnX+IqCnbI+r8W/pMRPw6dXuK0u1anZb0uYh4Y9Dvb1wIRMSPJe1e4+/+cmkmsu0fbnQmclXWOqZu19b9km6NiB9U3a6NWO//U0u8rM4d2pIt3fdQQ7ZPUScA7ouIR1K3p0gRcbPtv5P0SPe89/Qg39+K7qA2zkS2vUXSg5K+EBGPpW4PTvK4pMttj3THbHarMy6AmrF9qqQD6nTftWKwW3prAH/p7nNB0q8knTHodhp3J7COts1E3itph6RbbC+9NxURP0vXJCzpDth/Q9ITkkLSFyPi54mbhdVdq05Ib7X9qe57N0XEoXRNKsRvJH2pGwSj6lyYfHPQjbTi6SAAwHBa0R0EABgOIQAAGSMEACBjhAAAZIwQAICMEQIAkDFCACiY7e22v526HUA/CAFgHd1y0Ue6pXqXf71/2WeutT2Tsp3AsNo0Yxgoy6ykR1e89z/L/vt96pQrke3vSjpd0i8raRmwQYQA0NuFks5c8d5RSQdsf0iSJb1u+yZJ75f0+zq5gipQS5SNANZg+zJ1arKsZZek7ZI+LekNSdepU7jwoKS7IuKDZbcR2ChCAFiD7Wsk/c46H3k5Ir62yvdtkfShNlWsRHsRAsA6ul08V63yV38dEd/ufuaT6twFhDoPWzwv6caIeK6qdgLDIgSAAdn+e0mHI+KA7R2S9kv6k4h4tfv3fy7pmoj4cMp2Av3gEVFgY15TZ9zgPbZPtX2GpJ2S5tM2C+gPdwLABtm+SNL1kt6tzkLf35X0jxGxkLRhQB8IAQDIGN1BAJAxQgAAMkYIAEDGCAEAyBghAAAZIwQAIGP/D6BYu3Dg1TmqAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, y = mglearn.datasets.make_wave(n_samples=40)\n", "plt.plot(X, y, 'o')\n", "plt.ylim(-3, 3)\n", "plt.xlabel(\"특성\")\n", "plt.ylabel(\"타깃\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "cancer.keys(): dict_keys(['data', 'target_names', 'feature_names', 'filename', 'target', 'DESCR'])\n" ] } ], "source": [ "from sklearn.datasets import load_breast_cancer\n", "cancer = load_breast_cancer()\n", "print(\"cancer.keys(): {}\".format(cancer.keys()))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "유방암 데이터의 형태: (569, 30)\n" ] } ], "source": [ "print(\"유방암 데이터의 형태: {}\".format(cancer.data.shape))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "클래스별 샘플 갯수:\n", "{'benign': 357, 'malignant': 212}\n" ] } ], "source": [ "print(\"클래스별 샘플 갯수:\\n{}\".format(\n", " {n: v for n, v in zip(cancer.target_names, np.bincount(cancer.target))}))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "특성 이름:\n", "['mean radius' 'mean texture' 'mean perimeter' 'mean area'\n", " 'mean smoothness' 'mean compactness' 'mean concavity'\n", " 'mean concave points' 'mean symmetry' 'mean fractal dimension'\n", " 'radius error' 'texture error' 'perimeter error' 'area error'\n", " 'smoothness error' 'compactness error' 'concavity error'\n", " 'concave points error' 'symmetry error' 'fractal dimension error'\n", " 'worst radius' 'worst texture' 'worst perimeter' 'worst area'\n", " 'worst smoothness' 'worst compactness' 'worst concavity'\n", " 'worst concave points' 'worst symmetry' 'worst fractal dimension']\n" ] } ], "source": [ "print(\"특성 이름:\\n{}\".format(cancer.feature_names))" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "데이터의 형태: (506, 13)\n" ] } ], "source": [ "from sklearn.datasets import load_boston\n", "boston = load_boston()\n", "print(\"데이터의 형태: {}\".format(boston.data.shape))" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X.shape: (506, 104)\n" ] } ], "source": [ "X, y = mglearn.datasets.load_extended_boston()\n", "print(\"X.shape: {}\".format(X.shape))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-최근접 이웃\n", "#### k-최근접 이웃 분류" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_knn_classification(n_neighbors=3)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from sklearn.model_selection import train_test_split\n", "X, y = mglearn.datasets.make_forge()\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from sklearn.neighbors import KNeighborsClassifier\n", "clf = KNeighborsClassifier(n_neighbors=3)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KNeighborsClassifier(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=None, n_neighbors=3, p=2,\n", " weights='uniform')" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "테스트 세트 예측: [1 0 1 0 1 0 0]\n" ] } ], "source": [ "print(\"테스트 세트 예측: {}\".format(clf.predict(X_test)))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "테스트 세트 정확도: 0.86\n" ] } ], "source": [ "print(\"테스트 세트 정확도: {:.2f}\".format(clf.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### KNeighborsClassifier 분석" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "hide_input": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(10, 3))\n", "\n", "for n_neighbors, ax in zip([1, 3, 9], axes):\n", " # fit 메소드는 self 오브젝트를 리턴합니다\n", " # 그래서 객체 생성과 fit 메소드를 한 줄에 쓸 수 있습니다\n", " clf = KNeighborsClassifier(n_neighbors=n_neighbors).fit(X, y)\n", " mglearn.plots.plot_2d_separator(clf, X, fill=True, eps=0.5, ax=ax, alpha=.4)\n", " mglearn.discrete_scatter(X[:, 0], X[:, 1], y, ax=ax)\n", " ax.set_title(\"{} 이웃\".format(n_neighbors))\n", " ax.set_xlabel(\"특성 0\")\n", " ax.set_ylabel(\"특성 1\")\n", "axes[0].legend(loc=3)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import load_breast_cancer\n", "\n", "cancer = load_breast_cancer()\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, stratify=cancer.target, random_state=66)\n", "\n", "training_accuracy = []\n", "test_accuracy = []\n", "# 1 에서 10 까지 n_neighbors 를 적용\n", "neighbors_settings = range(1, 11)\n", "\n", "for n_neighbors in neighbors_settings:\n", " # 모델 생성\n", " clf = KNeighborsClassifier(n_neighbors=n_neighbors)\n", " clf.fit(X_train, y_train)\n", " # 훈련 세트 정확도 저장\n", " training_accuracy.append(clf.score(X_train, y_train))\n", " # 일반화 정확도 저장\n", " test_accuracy.append(clf.score(X_test, y_test))\n", " \n", "plt.plot(neighbors_settings, training_accuracy, label=\"훈련 정확도\")\n", "plt.plot(neighbors_settings, test_accuracy, label=\"테스트 정확도\")\n", "plt.ylabel(\"정확도\")\n", "plt.xlabel(\"n_neighbors\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### k-Neighbors Regression" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_knn_regression(n_neighbors=3)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "KNeighborsRegressor(algorithm='auto', leaf_size=30, metric='minkowski',\n", " metric_params=None, n_jobs=None, n_neighbors=3, p=2,\n", " weights='uniform')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.neighbors import KNeighborsRegressor\n", "\n", "X, y = mglearn.datasets.make_wave(n_samples=40)\n", "\n", "# wave 데이터셋을 훈련 세트와 테스트 세트로 나눕니다\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n", "\n", "# 이웃의 수를 3으로 하여 모델의 객체를 만듭니다\n", "reg = KNeighborsRegressor(n_neighbors=3)\n", "# 훈련 데이터와 타깃을 사용하여 모델을 학습시킵니다\n", "reg.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "테스트 세트 예측:\n", "[-0.054 0.357 1.137 -1.894 -1.139 -1.631 0.357 0.912 -0.447 -1.139]\n" ] } ], "source": [ "print(\"테스트 세트 예측:\\n{}\".format(reg.predict(X_test)))" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "테스트 세트 R^2: 0.83\n" ] } ], "source": [ "print(\"테스트 세트 R^2: {:.2f}\".format(reg.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### KNeighborsRegressor 분석" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n", "# -3 과 3 사이에 1,000 개의 데이터 포인트를 만듭니다\n", "line = np.linspace(-3, 3, 1000).reshape(-1, 1)\n", "for n_neighbors, ax in zip([1, 3, 9], axes):\n", " # 1, 3, 9 이웃을 사용한 예측을 합니다\n", " reg = KNeighborsRegressor(n_neighbors=n_neighbors)\n", " reg.fit(X_train, y_train)\n", " ax.plot(line, reg.predict(line))\n", " ax.plot(X_train, y_train, '^', c=mglearn.cm2(0), markersize=8)\n", " ax.plot(X_test, y_test, 'v', c=mglearn.cm2(1), markersize=8)\n", "\n", " ax.set_title(\n", " \"{} 이웃의 훈련 스코어: {:.2f} 테스트 스코어: {:.2f}\".format(\n", " n_neighbors, reg.score(X_train, y_train), reg.score(X_test, y_test)))\n", " ax.set_xlabel(\"특성\")\n", " ax.set_ylabel(\"타깃\")\n", "axes[0].legend([\"모델 예측\", \"훈련 데이터/타깃\", \"테스트 데이터/타깃\"], loc=\"best\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라메타" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 선형 모델\n", "#### 선형 회귀 모델\n", "\\begin{align*}\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "hide_input": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "w[0]: 0.393906 b: -0.031804\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_linear_regression_wave()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 선형회귀(최소제곱법)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression\n", "X, y = mglearn.datasets.make_wave(n_samples=60)\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=42)\n", "\n", "lr = LinearRegression().fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "lr.coef_: [0.394]\n", "lr.intercept_: -0.031804343026759746\n" ] } ], "source": [ "print(\"lr.coef_: {}\".format(lr.coef_))\n", "print(\"lr.intercept_: {}\".format(lr.intercept_))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.67\n", "테스트 세트 점수: 0.66\n" ] } ], "source": [ "print(\"훈련 세트 점수: {:.2f}\".format(lr.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(lr.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "X, y = mglearn.datasets.load_extended_boston()\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=0)\n", "lr = LinearRegression().fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.95\n", "테스트 세트 점수: 0.61\n" ] } ], "source": [ "print(\"훈련 세트 점수: {:.2f}\".format(lr.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(lr.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 릿지 회귀" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.89\n", "테스트 세트 점수: 0.75\n" ] } ], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "ridge = Ridge().fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(ridge.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(ridge.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.79\n", "테스트 세트 점수: 0.64\n" ] } ], "source": [ "ridge10 = Ridge(alpha=10).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(ridge10.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(ridge10.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.93\n", "테스트 세트 점수: 0.77\n" ] } ], "source": [ "ridge01 = Ridge(alpha=0.1).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(ridge01.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(ridge01.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(ridge10.coef_, '^', label=\"Ridge alpha=10\")\n", "plt.plot(ridge.coef_, 's', label=\"Ridge alpha=1\")\n", "plt.plot(ridge01.coef_, 'v', label=\"Ridge alpha=0.1\")\n", "\n", "plt.plot(lr.coef_, 'o', label=\"LinearRegression\")\n", "plt.xlabel(\"계수 목록\")\n", "plt.ylabel(\"계수 크기\")\n", "xlims = plt.xlim()\n", "plt.hlines(0, xlims[0], xlims[1])\n", "plt.xlim(xlims)\n", "plt.ylim(-25, 25)\n", "plt.legend()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_ridge_n_samples()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Lasso" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.29\n", "테스트 세트 점수: 0.21\n", "사용한 특성의 개수: 4\n" ] } ], "source": [ "from sklearn.linear_model import Lasso\n", "\n", "lasso = Lasso().fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(lasso.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(lasso.score(X_test, y_test)))\n", "print(\"사용한 특성의 개수: {}\".format(np.sum(lasso.coef_ != 0)))" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.90\n", "테스트 세트 점수: 0.77\n", "사용한 특성의 개수: 33\n" ] } ], "source": [ "# \"max_iter\" 기본 값을 증가시키지 않으면 max_iter 값을 늘이라는 경고가 발생합니다\n", "lasso001 = Lasso(alpha=0.01, max_iter=100000).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(lasso001.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(lasso001.score(X_test, y_test)))\n", "print(\"사용한 특성의 개수: {}\".format(np.sum(lasso001.coef_ != 0)))" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.95\n", "테스트 세트 점수: 0.64\n", "사용한 특성의 개수: 96\n" ] } ], "source": [ "lasso00001 = Lasso(alpha=0.0001, max_iter=100000).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.2f}\".format(lasso00001.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.2f}\".format(lasso00001.score(X_test, y_test)))\n", "print(\"사용한 특성의 개수: {}\".format(np.sum(lasso00001.coef_ != 0)))" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '계수 크기')" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(lasso.coef_, 's', label=\"Lasso alpha=1\")\n", "plt.plot(lasso001.coef_, '^', label=\"Lasso alpha=0.01\")\n", "plt.plot(lasso00001.coef_, 'v', label=\"Lasso alpha=0.0001\")\n", "\n", "plt.plot(ridge01.coef_, 'o', label=\"Ridge alpha=0.1\")\n", "plt.legend(ncol=2, loc=(0, 1.05))\n", "plt.ylim(-25, 25)\n", "plt.xlabel(\"계수 목록\")\n", "plt.ylabel(\"계수 크기\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 분류에 대한 선형 모델" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "사이킷런 0.19 버전 이하에서는 `LinearSVC`와 `liblinear`를 사용하는 `LogisticRegression`의 `verbose` 매개변수가 0이 아니고 `max_iter` 반복 안에 수렴하지 않을 경우 반복 횟수를 증가하라는 경고 메세지가 나옵니다. 사이킷런 0.20 버전부터는 `verbose` 매개변수에 상관없이 `max_iter` 반복 안에 수렴하지 않을 경우 반복 횟수 증가 경고가 나옵니다. 경고 메세지를 피하기 위해 `max_iter` 매개변수를 기본값 1000에서 5000으로 증가시킵니다.\n", "\n", "향후 사이킷런 0.22 버전에서 `LogisticRegression` 클래스의 `solver` 매개변수 기본값이 `liblinear`에서 `lbfgs`로 변경될 예정입니다. 사이킷런 0.20 버전에서 `solver` 매개변수를 지정하지 않는 경우 이에 대한 경고 메세지를 출력합니다. 여기에서는 liblinear 라이브러리를 사용하는 두 클래스를 비교하는 것이므로 `solver` 매개변수를 `liblinear`로 설정합니다." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.linear_model import LogisticRegression\n", "from sklearn.svm import LinearSVC\n", "\n", "X, y = mglearn.datasets.make_forge()\n", "\n", "fig, axes = plt.subplots(1, 2, figsize=(10, 3))\n", "\n", "for model, ax in zip([LinearSVC(max_iter=5000), LogisticRegression(solver='liblinear')], axes):\n", " clf = model.fit(X, y)\n", " mglearn.plots.plot_2d_separator(clf, X, fill=False, eps=0.5,\n", " ax=ax, alpha=.7)\n", " mglearn.discrete_scatter(X[:, 0], X[:, 1], y, ax=ax)\n", " ax.set_title(\"{}\".format(clf.__class__.__name__))\n", " ax.set_xlabel(\"특성 0\")\n", " ax.set_ylabel(\"특성 1\")\n", "axes[0].legend()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_linear_svc_regularization()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.953\n", "테스트 세트 점수: 0.958\n" ] } ], "source": [ "from sklearn.datasets import load_breast_cancer\n", "cancer = load_breast_cancer()\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, stratify=cancer.target, random_state=42)\n", "logreg = LogisticRegression(solver='liblinear').fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.3f}\".format(logreg.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.3f}\".format(logreg.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.972\n", "테스트 세트 점수: 0.965\n" ] } ], "source": [ "logreg100 = LogisticRegression(solver='liblinear', C=100).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.3f}\".format(logreg100.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.3f}\".format(logreg100.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 점수: 0.934\n", "테스트 세트 점수: 0.930\n" ] } ], "source": [ "logreg001 = LogisticRegression(solver='liblinear', C=0.01).fit(X_train, y_train)\n", "print(\"훈련 세트 점수: {:.3f}\".format(logreg001.score(X_train, y_train)))\n", "print(\"테스트 세트 점수: {:.3f}\".format(logreg001.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(logreg100.coef_.T, '^', label=\"C=100\")\n", "plt.plot(logreg.coef_.T, 'o', label=\"C=1\")\n", "plt.plot(logreg001.coef_.T, 'v', label=\"C=0.001\")\n", "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n", "xlims = plt.xlim()\n", "plt.hlines(0, xlims[0], xlims[1])\n", "plt.xlim(xlims)\n", "plt.ylim(-5, 5)\n", "plt.xlabel(\"특성\")\n", "plt.ylabel(\"계수 크기\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`LogisticRegression`의 `max_iter` 매개변수 기본값은 100입니다. 사이킷런 0.20 버전에서 수렴에 도달하지 못했다는 경고 메세지를 피하기 위해 1000으로 증가시킵니다." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "C=0.001 인 l1 로지스틱 회귀의 훈련 정확도: 0.91\n", "C=0.001 인 l1 로지스틱 회귀의 테스트 정확도: 0.92\n", "C=1.000 인 l1 로지스틱 회귀의 훈련 정확도: 0.96\n", "C=1.000 인 l1 로지스틱 회귀의 테스트 정확도: 0.96\n", "C=100.000 인 l1 로지스틱 회귀의 훈련 정확도: 0.99\n", "C=100.000 인 l1 로지스틱 회귀의 테스트 정확도: 0.98\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "for C, marker in zip([0.001, 1, 100], ['o', '^', 'v']):\n", " lr_l1 = LogisticRegression(solver='liblinear', C=C, penalty=\"l1\", max_iter=1000).fit(X_train, y_train)\n", " print(\"C={:.3f} 인 l1 로지스틱 회귀의 훈련 정확도: {:.2f}\".format(\n", " C, lr_l1.score(X_train, y_train)))\n", " print(\"C={:.3f} 인 l1 로지스틱 회귀의 테스트 정확도: {:.2f}\".format(\n", " C, lr_l1.score(X_test, y_test)))\n", " plt.plot(lr_l1.coef_.T, marker, label=\"C={:.3f}\".format(C))\n", "\n", "plt.xticks(range(cancer.data.shape[1]), cancer.feature_names, rotation=90)\n", "xlims = plt.xlim()\n", "plt.hlines(0, xlims[0], xlims[1])\n", "plt.xlim(xlims)\n", "plt.xlabel(\"특성\")\n", "plt.ylabel(\"계수 크기\")\n", "\n", "plt.ylim(-5, 5)\n", "plt.legend(loc=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 다중 클래스 분류를 위한 선형 모델\n", "\\begin{align*}\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from sklearn.datasets import make_blobs\n", "\n", "X, y = make_blobs(random_state=42)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")\n", "plt.legend([\"클래스 0\", \"클래스 1\", \"클래스 2\"])" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "계수 배열의 크기: (3, 2)\n", "절편 배열의 크기: (3,)\n" ] } ], "source": [ "linear_svm = LinearSVC().fit(X, y)\n", "print(\"계수 배열의 크기: \", linear_svm.coef_.shape)\n", "print(\"절편 배열의 크기: \", linear_svm.intercept_.shape)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "line = np.linspace(-15, 15)\n", "for coef, intercept, color in zip(linear_svm.coef_, linear_svm.intercept_,\n", " mglearn.cm3.colors):\n", " plt.plot(line, -(line * coef[0] + intercept) / coef[1], c=color)\n", "plt.ylim(-10, 15)\n", "plt.xlim(-10, 8)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")\n", "plt.legend(['클래스 0', '클래스 1', '클래스 2', '클래스 0 경계', '클래스 1 경계',\n", " '클래스 2 경계'], loc=(1.01, 0.3))" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 51, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qSPSo9N9bEVeDp+bph/5TAwbdfELCXMQzRdKAXAjmyFowp7NAPVQApsCk+zW8FxCqSWTpBEwdc4qKosFiMVi5sgsLFgzgpZeqMTzMRnGxPoVqaJrp6eHaFT7DAmVHXHK6uni4774eXLsWYGZanp7eCxYLuPvuNpw8GWX2HMsmHGt1VEtcaSQw3anW2SCQGprC5w0hyCuX4GzLaNo7PVCO3GQZHotrgzeXDP0T3Idni6SBEbE0hfX0JVArK0kadpqxTFGabtg4cCBujMXcmTP69OiiRf345BPJuNc2zEfaGxPx91djw4aOcV17nn66ATExQ2hsFBo7WTMy+syacKzVUS1xpZGAq1djeTKyQQHeqZDgUGUkWhUCAIAXW4fHRqzisoL73XxCAkHPzBDJMTBg2sSAkmNSs4zXmxLUErGcCqYpyvE2bJiKVV9fKNhsucPzkfbGRBwxLS8o8MdjjzWByx3tZLU0KbdWR7XEVUYCoeoOhKs7MMgSospr/CjaEWZiFEkzwLfNQdh/W4ovZcGgRywrk8SDyE2W4al5LfDna918SgLBnBkqkpR5zfL+n0AtrQF7aY1eLN9dC7T6278MYQymKUrHxCoQcXEchwXJ0O1q2vBjuTBZq6Vw65YI/v5qm9crLAxARsYAbty4w+br9faGIiOjz2z7hyWuMhIwRJElPgtAU7Yt8hxhpglkxzAP71VG4kCFBHUjVpVcFo3NMW3ITZZhbVgvsYojeCwzVCRHMNQsP80E9WAhqPt/AjLqgEPr3H2yGYtpitKxDRt+yMqqAUUxyMzsxZkz9u3hDGMiFRW+EAh0Vhcm29oYYoDFYsBma5CS8oPNJcpdXVJkZhagvNzHphuPq4wERucjU6Z0nZkikAwDXGzzx/5yKT6uD4VmZMwr2mcYLyTJsG1+M0K91G4+JYFgn5ktkgb6vI1iiZQmoH3Ep5NiQG3/Hsz5BSQN6yCmEaGjFnMcDoO3347H9u31uH3btj3c0qU94HAYLF7cBxaLwZNPNgCgcOzY2FEQWxtDAP2oycMPtyA/P9DqjKVhibJaLYRMloInnyxFUZEfCgv9zNx4LGuYzoLF0Fg0VAYAuOGzcNLXmQkC2afi4G/VEcgrl6Ksb8RukGKwKaoDO5NkuCeyC2zneLoTCE5hdoikgT5v4LJJl+KyarB+dh342XUwV+NBnyA1S3uYpigdtZhTKNjo7ubj229D8OSTjSOCZL5AOSurFxwOY2YusHp1JxQKzoQ2hhjqpKam6vpzW1+i3N8fhKqqLMTFyZCR0WAWdbpq0XLccD18dUNo4wajjT+5nz9PF8jCThHyyqX4oDYMCq3+bSXMS4UdiU14LrEJUT5KN5+QQJgcs0skLbkdAfqTTH3NclkN2MtqiFjawTRF6ajFXEmJGPPmDWDDhg6UlIjg5aUzdrGqVCywRiKHK1eCzKK5BQsGxjUeB8w3hgCO1UktZx/VaiFaWhJdt1TZgiWDJQBmX1frkIaNE7VhyCuXorBrdMvKXRHd2JkkwwPRHeASqzjCDGd2i6RJGlZvSlBsFEv6m4Vg3r7b3Sf0OExTlKWlvkhLk4+7YSM9vQ8ffSTBli1NY7pgTR/31FNNSEjgmEVzfD7tcEesYRPIkiV9doXV1UuU7THV+UhPiyLLer2RVy7F+9URkI90BvvzNHh2fjOeT5Qh0U/h5hMSCNPH7BZJA33eYN67w2hKQN1XDDSbdr8yAEh7nQFDijIiQgYOpx9PP92AggJ/sxRqenov0tP7cPp0hEMOOoWFfoiL4xg9VQG9Ybkj6VydjsKePbeh0VDgchmPmn20h0CnRJKiCjQo3PReMOHne4pAqnQUTtfrreJ+aBvdXrIsuA+5yTJsiW2DF4d24wkJBOcwN0TSgIlYQjH6xkw9XAAqsRX0yWUkDTuCaYqSx1OY1fQMIxqGhpoHH2xxqAvWMrrr7Q212xGbmdmDkhIRvvwyAmKxBi+8UOsxs4+OkDJUDi6jQ6VXHAY5PhN6ricIZN2AFw6WS3C4MhKdSj4AwJujxZMjVnGLAwfcfEICwbnMLZE0YLqrkkXra5bBA2AvrwZzZZ6+Zllne7ZurmFZ04uIqIBCoTQKlaNdsJbRXVeXFFlZV806Ym3NTBqE8cYNP7t1UlcuUbbHZFOt7hRIHQ18JQtGXrkU/2wKAjOSZVnoP4DcZBmeiG+BiEes4ghzg7kpkqbQLND/8YQ+mvyXYlDLq4lY2sFy/tDRLljL6E7fWcrC44/LUFTkh+5uHjZs6Bh3ZtLUVN3ds4+OMBmRdJdAtip4OFwhwcEKCWRDegN2PluHrbFt2JnUhOUhfWTonzDnoBhm+rvP/PySmDVrDk37dZ2O39CoWI7YY+l++xhQEeHmg3keBhP0oiI/eHlpMDTEGTe627ChA3FxgjHNNBERFWhuHgKLRSM1tX+MX6sBiURhnJkMDFTh4YdbcOOG2GLUZHT20ZU7Im0RoOnFkfKXoKR4eHxBHrQs+ylgVwskzQDnWwKQVy7FZw0h0DL6VuR5oiG8kNSEZxOaESjwjPruXIA6fLiIYZhMd5+DMAqJJE3p8wbz7h1gPsnSi+X8VqAifPT+gAGgx/oew7mG6fxhQEAfKEo3qeiuq0uK1NQCVFUJUVAQ4PDM5OHDMcjNrUFGxoBbZh8dIW2wFABwyzvJIYF0Jd1KLo5UReBAuRRV/fryA5ui8UhMG3YmyXBnRA9YJGokEIhIWsUglpRJ12tYH1h/fQ8oiCNp2BFMa5UiUdeknG0MIydJSTfx17/GW3mVUUxnJmmaglbLNeuW9TQmuvXD2VEkwwBXO8TYXy7Fh3VhUOn0HrIS72E8n9iE7fObEeGtcuoZCISZBhHJ8WBGP0pTCW2AjmVes/xgOVBPxBLAlJxt+vuDwGY7NtohFOobRjypOccqDIO0CdQjnSmQA2o2/l4Tjv3lUbg5kgmhwOBeSSdyk2S4T9oFDhn6JxCsQkTSQZiLSWBuSfRp2HtvjorljwmgTywjYompOdtMZIuIpzXnWCNa1YQArRzdHD808sffs+ksgSzu9kVeuQTHaiIwqNH/qgcLVNg2vxnPJzYhTjTslNclTA9FRUUhHA7nEIBUAMTx1jnQAG5ptdodGRkZHdYeQERyIvT6gDm8brRmee9NUCuqQOkoMG9tcvfpZjR6z9henD07vgVeXx8XTz3VhMZG5xuTTwXD1o9in1SM1xI63QI5rGXho7ow5JVLcKVj1DBjTVgPdibJ8HBMO/hsEjXOBDgczqGwsLDk4ODgXhaLhPrOgKZpqrOzc0FbW9shAD+z9hgikpPBQiyZb002O8S1AzRFIssJMjpWMv4WkaEhP1RWJnm0QAKOjX5Mp0BWyoU4UC7FkaoI9Kj00biIq8HTCS3YmSRDiv/QtL0WwWWkOiqQHR0d/AsXLofevl0RSNMqFovFp5OTE7vXrl3ZHhISQgrNNmCxWExwcLC8ra3N5i8qEcmpMCKWozBgPX8e1IIWkoadIOZrrcRmK7AyM3uQmdmH5uZE9PREuvuoduHQGqQOlQOwvT9yOgRSQ1P4rCEEeeVSnGsJNN6eGSTHziQZfh7XBm8uGfqfwbAcEcjS0lLRRx99Fn/1qh+Vny+lRn5vWNnZrUGlpYcCt2x5oCYlJaXfFQdubGzkbN68OT4/P78iKioqtbGx8ZYrXncqjPwd20xnE5GcTjg0mKowIL4D1IoqsFdUjYjlcqA+2N2n83jGa/6prEz0+OjRwAJFJfiMGvUCKfq4ftN+/cZBAd6pkOBQhQRtw3qrOC+2Do/H663iMoNd8n5I8AA6Ojr4H330Wfzhw5Esy9Vx33wTTJWWelPAZ/HBwcFlk4koDx486H/gwAGzT/rt7e28F198se13v/td5759+4KOHDkSrNFoKLFYrDt16lTNeNcrLi7mv/TSS9ILFy5U23rML3/5y8hLly75MgyD119/vXnjxo1u9T4kIjmdaNmjadhHCkDdWzwqlpcTQB9aB3STOcvxcPdaq+nAXqp1MlGkjga+bQ7C/nIpvpIFgx7pvF7gN4idSTI8Na8FfiMGGIS5w4ULl0OvXvWjxpsvvnbNj0pJ+TFky5YHZRO9fm9vL4fN1o8Ksdlshs/n0/39/bS/v78OAH7zm990/eY3v+mqqanhPvbYY+Ov5wHw7bff+ra1tfE0Gg243LHd7J9//rlvSUmJ140bN8rr6+u569atm3/PPfeUWnusqyAi6Qx6fcAcMm3wKQYWNwAq8tc9FzCYCFgTyYkKZMcwD+9WRuJAuQT1g/o3Qi6LxtbYNuQmybA6rJdYxc1hbt+uCMzPl477E3Dtmphavrw8EMCERXL37t2du3fv7jS97fHHH4+WSqVqAPjv//7vwMOHDwdrNBrKx8eH1p/ptld2dvaYT7nl5eW8d955J2Tr1q3dOTk5UceOHWtkscyznGfOnBE9/PDDvQAQExOjiYyMVBcXFwsyMzPdtrWbvGs7k55RsURsBzCo98MERwvqhfNgvlpC0rCzDF/tAOKH66GhOLjlbf4+4ahAMgzwQ5s/8sql+Lg+FBpa/0YS66vAC4lNeHZ+M0K81NN9dMIMhKZVLEfmi2lazZ7otTds2BDf0dFh9eIvv/yy5MCBA6qkpCTl9u3bO1966aVuQF+TTE5OHjbUJAGgt7eX9Ze//CXoxIkTgUePHq1bvnz58Ouvvx6ydu3ahFdffbV53bp1xgWk3d3dnBUrVhhTIgEBAdq2tjYuACKSs5oeH/2fEagNt8C6pwS4pwTM5fn6Bp8GIpazgUWDZWCBwS1hAtQsvvF2RwSyT8XB+9URyCuX4naf/ueFRTH4WVQHcpNluDuyi1jFEcxgsfi0WKxh2ZsvZrEmvrblzJkzNZcuXRL+8MMP3pb3rV+/fjA7O3t4165d4aa3Dw4OjmmAUavVFI/HY65cuVIhEoloAPj973/fcd999/V///33PqYi6efnp+3r6zMK+sDAADswMNCtdQQikm6AuTYPdGSPfs5yZSXYKyuJWM4SrNUj7QlkYacI+8ul+KAmHMMjVnHhQiV2zG/Gc4lNkPq47UM0wcNJTk7szs5uDfrmm2CbH5+WLpUzyclJ3ZO5vkQi0SxdulRhetvJkyf9z549i+zs7GEA+MMf/hBx4MCBEB6PxzzwwAO9ltcIDQ3VWaZsASA9PV2Znp5u9sO9evXqwWPHjgXm5ub2tLa2cmprawVpaWlu/QUgIukOenzAHLoTzCfZoB7ONxNL+pNMMEfWuvuEhMnAMA6vxhrSsPFBbRjyyqUo6hIbb78rohs7k2R4ILoDXDI/TrDD2rUr20tLDwWWlnpbbd7Rzxf3MWvXbrbqJmOPgwcPBh4/fjwoMDDQbBXMypUrBwFg7969rXv37m013N7Y2Mj5+uuvzVq609LSksZ7jZycnK5f//rXXQCwdetW+TfffCNasmRJEk3T2Lt3r0woFLr1F4GIpDsxiuVIN+w9N81rlBRj5h9L8GzC1e0I1XShn+2DWq8YAGOjyNJeb+SVS/F+VQT6NfpyTwBfjWcTmvF8UhPmixUgEBwlJCREtWXLAzXAZ/HXrvlR166JDXOSWLpUzixd2sds2fJAzXQbCly/fl2Yk5PT58hji4uLyx29LpvNxpEjRybcYORMiEh6Aj2+YN65E8zH2UDf6KdBavv3QMAgmBPLgUb370ckjI8hirzpswA0xTIKpEpH4ZP6UOy/LcXF9gDj41eE9GJnkgybY9vhxaHdcWTCLCAlJaU/ODi4LCXlx5Dly8sDaVrNZrF4uuTkpO61azd3TEUg33jjjbY33nijzdHHR0VFafPz8ysAYCYYCTgCEUlPwqS5B3wNqDtLQfmogFWVoC/NJ2Lp4ZimWj8POYLafi8crJDg3cpIdCr1TTw+XC2eim/BC0lNSAt064w0YRahjygflGESYx6E8SEi6amouKD/NceYhmWtqiRi6cGwGB0WDZYBAOZzOvAv36Tjm6YgMCP7SNMC+rEzSYYn4lvhO/FGQwKB4CaISHoyxjRslplYMisqQeduA1r97V+D4BKi+6rhTQ+jVhuIey7oF0Hz2To8GtuGnUkyLAuRk6F/AmEGQkRyJmAqlpvzQQUOmgtkiBzoENt+PsEpMAwV6sz7AAAgAElEQVSDri416usVWKK8BvgB/1DMR4JoCDuTZMhJaEGgQGP/QrOUVoUCz164gCNr1yJMODN8dwkES8giz5lEjy+Yg3eBftNk7dn8VrAOHgL12y8AaZf7zjaHUKtp1NQM4rvvOnH1ag/a2pTYIKgCAKxaQKF88yX8emHDnBZIANhbXIz8zk7svXnT3UeZMzQ0NHDXLFuW2NjYSAKgaYKI5IxkNG9HxXYCOjZYqyvB+p+jRCydBMMw6OlR4/r1Ppw5046ysgEMDekgELCQPp+NlYIGgKKQFs8lrjjQR5FHq6txbuVKHK2qQpuCjLa4gtf27Am/deOGz2t79kS44/UbGxs5Bt9Wgy3dTIeI5AyH+WYR6Oe3g/5qsblY/uZLIpbTgEZDo75+CBcudOHy5W40Nw+DpoGQED6ysvxx110hKEo6CgoMIBIBHPIBHtBHkTlSKZb4+eFpqdRqNNmqUODef/yDCOg00dDQwP341KmgcytW4ONTp4KmI5o8ePCgf0ZGRqLpH4lEsvDNN98MBoB9+/YFpaamJicmJi6wZmpuSXFxMX/t2rXzxnvMhQsXhHFxcSm/+MUvPGJ5LBHJ2UC3L5gDd5mL5ZoKUPeUuPtkMxa5XIObN+U4c6YDJSX9GBjQgsdjYd48b9x1VzCWLg1AWJgAX4YdBXp69E8KCBj/onMEQxS5KyEBALArIcFqNEnSsdPLa3v2hBs/mEgkmI5o0rAqi81mg8fjMb6+vjovLy+zVVm3bt26/fXXX1c5cj3TVVm2uHbtmve2bdvG2Ni5CyKSswlTsfxyMZiPs0bvS2kikaUddDoGMpkCFy924YcfutDQoIBOxyAwkIf0dD9s2BCC5GQRhEL9B3Sjmw4RSTMMUWS4QAAACBcIxkSTJB07vRiiyN1xcRQA7I6Lo6Yjmty9e3dnfn5+RX5+fsWVK1cqv//+++qsrKxB01VZaWlpSZs2bTJGh/ZWZW3ZsqU7JycniqatG2js2rWrUyQSecycFMkNzUa69Q0+Rlg0WC9+C0T0grmUCObkMkBG5iwNDA5q0dCggEymgEajt4nkcChIpV6IjhbC19fKcliDQCqVgEIBsNn6dOscxyB+pXfeaXb7roQEpJ4/j12LFiFMKLSajv3jsmVuOvXMxxBFmn0wGYkm3zl6tHEy13THqixPhIjkXICvBVMcDSq0H6w1FWBWVcx5saRpBm1tSjQ0KNDVNbqb0c+Pi+hoISIivMDhWO/AMfNjNUSR/v4AiyRmLKNIA6bR5G8XLTITUksBJUwMQxRZtnat2Q/s7rg4KuXUqaA9r73WEhUVNeF1U+5YleWJEJGcCwzzwBy4C8ypbP2c5d0l5mJ58E6gf268OSkUOjQ2KtDYqIBKpU/3sNkUIiMFiI72hp/f+AtsxzCLU60TnXO0FUUaMIjhkEZjMx1LosmJYxlFGpiOaNLVq7I8ESKSc4mRmqXewScf1N23QC1oBqOwvbB1NsAwDDo6VGhoUKC9fdTr2ceHg5gYISQSL3C5jkWBZlEkw8xqkTRtrHFEvGxFkQbCBQI8Eh6O47W1qFy/3uw+Ek1ODltRpIGpRpOuXpXliRCRnIt0icAcWK/fOhIqB7QjPwY+w6C2XwDzSRYgC3TvGacBlUqHxsZhNDQoMDys7wOgKCA8XICYGCECAnigJuAVN2Z58uAgoNEAfD4wy97YTRtr1v/4o0PiVdDVhcsdHfhzTY3Nx/BYLOyIjh43HUuiScexFUUamI5o0hrOWpVlwFDj9AQohpn+fZZ+fknMmjWHpv26BOdCPXEZrEevgqEB5mKSvmbZNLPEkmEYdHer0dCgQGurEoYfb6GQjehoIaRSL/D57Alfd4xAAkBDA1BdDYSHAwsWTO3gHsavrlwBVCr8aeFC/KqkBJRAMGXxalUokPLxxyi9806rb+qtSiVSz59H6SOPzNlokjp8uIhhmEwAKC4urk9LSxs3wspMTU0uKi21+5eVkZKiKLx16/Z0nXO2UVxcHJSWlhZj7T4SSRKMMN8sBO07DGpDCVhry8GsLp8xYqlW02hqGkZDwxAGB0e7x0ND+YiJESI4mD+hqNEUqwIJzNpUq2VtcbpSoY6kY0k0OTGI8DkfIpKEUbpEYPLWjzb4mIrl31eC+ciz3rgYhkFfnwYNDQqjEw4A8PksREcLERUlhJfXxKNGU2wKpE4H9I1km2aZSI435zgR8bJs/HEkHQsAK0NCpnR+AmE6ISJJGIupWG7JB7W+BEyFSac3xQCM+wxKtVoazc1KNDQMQS4f7UUICuIhJkaI0FABWNNgoGpTIAG9QNI04OsL8GZP45Ojc46OYNn4c2nTJmccmUBwKmSwi2CbLhGY/etB73gOuBllvJn6j69A/forINK1tfX+fg1KSvRWcTdvyiGXa8HlUoiP98a6dcFYvjwQ4eFe0yKQdnFTqtXZfqeOzDk6wnQ56hB/V4K7ISJJsE+vD4ybR8QKUMuqwbqjHKy3jzhdLHU6Bk1Nw7h8uQsXLnShvl4BrZaBvz8XS5aIsWFDKBYsEMHHZ3qTIuNGkYDbRNKZfqeWnquW2PJgtYYjBueOQPxdxyc1MzWZoqgMe39SM1OT3X3WmQpJtxImhlwIeuc2YxqWdUc5mDXlYH4YafBpnp4Gn6Ehg1XcMNTq0aF/icQLMTFCiEQTHPqfAHYFUqXSj3+wWIDYdcuuJzOWMREcbaz539evo2FgwKbJwHQ1/jj7650NpC9OH9Ks0ngt+PMCm+mTsn8vYzKGMoZccZ7GxkbO5s2b4w22dI2Njbdc8brOhIgkYeKMpGGZj7LNxXJlFehnngcGJvdGRtMM2ttVaGgYQmfnqFWcSMRBdLR+6J/DcW7yw65AAkDviKmIn5/es9VFONvv1NHGmhhvb8jV6jGvb2jUifLxmZbGH+Lvap/X9rzWmrw4OShudxwE4WM/3ChblWh6vwmv/fRay2Suf/DgQf8DBw6YdVK1t7fzXnzxxbbf/e53nfv27Qs6cuRIsEajocRise7UqVPj/vAUFxfzX3rpJemFCxeqrd3f0tLC+cUvfiFtbm7mDQ8Psx5//PGul19+2a0bQUi6lTB5DDXLF7aD/kcamLOpJgLJAOFjHKqsMjysQ0XFAM6d60BhYS86O9VgsQCJxAurVgVizZogxMR4e4ZAAm5JtTq6fmoqXNq0Ccz27fj3BQvgz+XiVykpYLZvN/vT8thjkGs0Y2qNP3V3I+XUKeR3duJEbe2YlG2OVIpDFRW42T1+at5Qgyzu7nb61zsbiI6O1mx+ZHNX7R9qrQ681/6hltn8yOauybjtAK5fldXa2sp55ZVXWgsKCiquXr1a/sc//jHC1rYQV0FEkjB1DJHlfpPNI0trwPrre6B+/bXVmqXBKq6goAfnznWgsnIQSiUNb282FizwxYYNoViyxA/+/hNzxZksDgukm6zoHFk/NR3Ya7ixVWvMuXABSp0O51auBGCsYBs5KpOBTVHYcfHiuK9vqEE+d/HipL7eudjo89qe11plR2VQtprboBqjyD2TiyIB16/KysjIUGZlZSkBoL29nRMWFqZmuXlxgFPSrd7zBrDs8x+ccWmncfVna9x9hFnA6FsjFdkD0BRYd9w2MyVQ1fpBJlOgoUEBhWKsVVxgoGtEcdIoFPqaJJcL+Pi45CWncyzDcD1bxuXjpTht1Rrvk0pR3d+P52JisMTPD89GRWFvVRX+uHCh/nlKJY42NuL8ypVYdfEibnZ3Y1Hg2Nq14fonMjPxYH4+PsvKMrvfka93on6zswFDNHntD9eCTGuTU40i3bkqq7+/n/XEE0/EHjx4sH4yZ59OSE1yhJkm6tbwJKFnPskGczEJ1JZroNbfgkEse05EQ/ZqKhQKEby82IiK8kJUlBACgetqe5Y4HEUC5lGki8TckbEMa4JgSwxtCYm9hhtb0ezT338PFoD/nD8fGPl36rlz2JWQgDCBAHurqrA5IgK/KyvDoxER2HHxIvIffNDm1/mPjg5sj4qa1Nc7Vxt9LGuTU61FAu5bldXb28t64IEH4vfs2dOyYsWK4cmef7oYVyQpijpu6z6GYR6f/uMQpoKnCb2yn4Wf/haCG3+8GwGPVCN6Ww0kT9SDqxZiXnAI5v/LEFjToI1T+XAwIYEEXJ5qdXT9lDVBsCaG4wnJeCldyx2Qpq9/sL7ezLQ8XCDAoxIJor/9FmqahoDFwlNSKfJ7e7ElIgJlfX1oUyjMzms41/kVK3Dn5csovesuWMPe1ztXG30so8mpRpEGXL0qq7u7m71x48b4V155pfX+++8fnMrZpwt7kWQ0gP8HoN0FZyHMElpu8JGfJ0bx332hHtJ/sOwpTkeAPAJROyuR/qwAbOg70vvQBz748ILXpF9vSh8OdkzgsTQ92tnqIpGcrN+pLTG0JSTjpXQXnDuHTxsasDk83Oo5TKNIA3sSE/F+YyNChUKsCQjAqZYW/VkuX8bjEsmY8xrOdVQmQ46VKNLRr3cuL3I2RJMRORFTjiINuHpV1iuvvBJeU1MjePXVVyNeffVVAMDJkydrY2NjrXf6uAB7IvksgKUMw1xwxWEIMxe1gsKtD32QnyeG7Nqo4MXeoUD2TjkWPDQIDg8ApMb7dNChDnXQQotABCIc4VMSS6cjl+s9W4VCwMab+HQzWb9Ta2JoGQ3uSkjA/DNn8ExCAt6rrLSZ0o3x8kKdQjGmGQcA9lZVYbut1VdRUTjW2IjSgQHkREXpzxIVBYVWi6NVVUYBMxW4Lfn5uNzTM+mvdy4vcjZEkyfvOhn880d+PuUocjyctSorLy+vKS8vr2nyJ5t+nLIqKzIzknmx8MVpvy7B8+gs5yL/gBjXj4ig7NPnTgViHZbk9CN7pxwhybY/AGqhRROa0IUuMND/HAYiEBGIgACuESEAeHlHrWMPrKkB6usBiQRIHNO85zFYrqQyrKDaHBMDoU6HP4001ADAL4qLcaWvDw1DQ1ZXWLUqlZh/5gx+WL0a60fSoGEjj2lVKpFy7hxK77rL5uqrlHPnMKzT4eratUgTi/VnOXcOj0REwMfHB39ctsxsLZcl1tZ0WdZaba3gmomrtya6KsuShoYG7qNPPRr34bEPa5wpkrMNsiqLMK1o1cDtT/VRY+13o28+kmwlsnfKsfDRAfCE9j98ccBBDGIQjnC0ohVd6EL3yD+BCEQ0osGG+xp6xmCoR1rpzPQkrEVVj4SH43htLSrXrzd77J7ERMSfOYMnJBKrQre3qgpPjUSBpnVGQL9A2VoUaSBcIEBOVBQudnXhaGMj/rhwoTHCNESTOQkJE665WtZaJ9vYNBuJjo7WXP3haoW7zzGbICJJcJjeBg4KDopRdFiEwXb9jw5XSCPt8QFk75QjMkM1qevywR8jlgoowPKkMV6NBujv13e0+vnZf7ybGK/R5ykbQvJsVBQONTTgUEPDmOcIWCzU3n03AL2gHpPJ8My8ebje3Y1OhQL76+qwv65u3DNl+/vjSGOjsdt1V0KCMZq0nIe0xFLoLGutkxFZAmEiEJEkjAutAyr/KUT+fj9Ufi0EM7IiKyRFhaW5cix+cgAC8fQ4YpiKpRZaUCNVMBVUaEaz09KwbxyKs59yNTTsiMUAx3N/baxFVa1KJU61tNjsGP19YiKONDai4MEHsSgw0Ji+vD8kBL5crllEui0qCu/V1oLLYqFbrbcOFLBYUJpEl6m+vlgREID/SUszvsYvi4uNs5OG7tfDDQ3w43JR0N3tcA3SstY6UZElECaKzd92iqLOALDMmR0C8COAvwLoAPCvDMMoLZ9LmPkMtLFR9K4IBQfF6GvQzxOzeTRSNw8gO1eO6JVKp40J8kf+MdCKVrM0rKtrlgDctvVjItiKIvdWVdntGN0WFWWcX9xbXIzN4eH4qKUFZRbCunv+fLzb2IhHYmJwYPVq/OrKFRytqkJucjJ+u2gRkk+dQq1CgS+XLzd73suJiUgxmZ3ck5iIk83NKH74YWNd0ZbBga2vb1dCApLOnp2QyBIIE2W8j8Q7oLdQ+RTAAyO39UIvlO8CSAXwbwD+4MwDElwHwwB133shP0+M0k98QGv1KhgQp0b2TjnSnxmAd7DO5ecKRzgYMEahdIZY2o0mZ4BI2qrNFfT2OtQxKuJwjJ6pm8PDrdYpTaPJXyxYYJb6HNRokODtjWX+/laf94REYhZNmkZ4jjjlWKu1bouOHtPYQyBMJzZFkmGYBgCgKGoQQCOAXzMM838piopiGOZTiqK+B/C+a45JcCbDvSxcPypCfp4YXRU8AADFYpD84CCW5soRv14Bd9on8sFHLGIRgQi0oMVMLKMRjRA4OUoYHtb/4XAAkci5rzUFHN7iIRSibqTOaMqvSkrw3MWLNqNIA4Zo8pkLF4ypz6ekUhyqqQGXxcLnNgTr5cRExH/7Lf5kcr6VISFmdcY1Fy/imYSEMbZ1023NRyA4it3iCsMwqyiK+jUAg/uBIZQYAjDGrogwM2AYoKmAj/z9frh5wgdapV4FfSO0yHpOjswd/RBLPKuD3JpY+mDUP5UBY6xjTiuGKNLf32VWdJPh0qZN495vqDX+uMa6Q9GuhATMO3MGiV5eNrtdAfNmn6+XLgUA7E5IwOH6evvPi44GXyg0i/x+deXKqNiapH1NIR2sMwNX75OkaRoGA3TD65WVlfGKi4u9AP0ihU2bNg3ccccdCadPn65ZtWpV0kTPZM+W7nUAXgCGGIb548jNLIqivAEkAqif4NdEcDOqQQrFx32RnydG643RN5x5dw8h+wU5kjYNge28fcbTgkEsJZCAC/1hGTCoQAV44E06DWsz5ToDUq2O4Ih7z7aoKHze1obG4WG8badrNVIgwLPXr+NIejrCBQL4cbl4u67O7vOyg4KM/20ZIe5JTMS8M2fMTNCnYs1HmBqu3icJAL/85S8jL1265MswDF5//fXmjRs3Dpjen5aWlqTT6SgWi8VUV1d7Xb9+vTQ+Pt64gFYul7NlMhmPxWIxf/7zn8M3bNhQNtmvH7AfSdYBWAZARFGUYKRJJw/ABejF8+mpvDjBdbSV8JCfJ8ZPf/OFakA/eygM1CFjmxxZz/cjcJ7bXJ8mjUEgAUAJJQYxaKxdTlvN0k2rsZyBo+nYaC8vxAiFqB9n3ZSAxcJ9oaE41dJirDP+S2goOCwW/mrS1WqJwRzAgNU6o0U0OVlrvtkERX2U4YzrMsyWovHuN+yTBAA2m83w+Xy6v7/fbJ/kb37zm66amhruY489Fmfv9Uz3SXK5Yz+Nf/75574lJSVeN27cKK+vr+euW7du/j333FNq+liDg09FRQXvmWeeiWltbeUcP37c3xBRLl++fHj58uXDAPDmm29Grl+/PqGmpmbSVl7jiiTDMIcBHKYo6l4AbwPYzjDMUYqirgIYYBhmyt6ABOehUVIo/dgH+fvFaLg8+jMSvWoY2TvlSHlkEFzB9DsuuQMveCEVqVZNCaYklgMDgFart6Gb4VHKeOlYU9ebVT/8gMuGDwZW4LFY2BoZaebHuishAWUDA7jc02N3btLQaWorQnzZIpqcrDUfYers3r2709Kc/PHHH4823Sd5+PDhYI1GQ/n4+NCA/X2SW7du7c7JyYk6duxYo+WuyDNnzogefvjhXgCIiYnRREZGqouLiwWZmZlmUxTnz5/33rVrl+TIkSP1f/rTn0IKCwu9Ld3jLl26JFy9enX/p59+WmftPI7i0MAXwzD/pChqPkVRXIZhNAzDEEcHD6a7esQq7j0RFN36T4F8Xx0WPz2A7BfkCFuotnOFmYkAAsQidoyDTx/6sBiLHTInGJNynSVRpD0cFaKswEBUDwyAz2KZ+bHurarCpTVrjLZzBvs6a7ZyBsarM5pGkwZxNxXy8a47G7EX8TkDd+yT7O7u5qxYscLYDBEQEKBta2vjAlACwOXLl71++9vfSsLCwjSfffZZTWRkpPbw4cMyQF+TND3jvn37Ql988cWOqf49TGQq+gaALQBsrs8iuA+dFij/whv5+8WoPjPaTxW+RG8Vl/b4APg+syNqtIelWPLAMwokDRpqqB2PLLu79f+e5SJpr+nHwK+uXMFiHx8zcwKDg86uhASj7ZwhBWurXmivzmgZTZItH67HHfsk/fz8tH19fUYvyoGBAXZgYKBRNDMzM5WfffZZbXDw2Fm07du3GwXxyJEjfgDA4/GYtLS0JKelWymKWgWgCsBa6LtZgyiKuhNAEAAwDPPhZF+YMD3ImzgoPCRCwTtiDLTov50cAY1FPx9Edm4fJFkqT27IdCoGsTSlC11oQINjaVidTr/5A5j1IukoBV1dKOjqMvNstdwfCQArR/6+wgUCPGWlXuhoE5GpwcFc3/LhDly9T3L16tWDx44dC8zNze1pbW3l1NbWCtLS0oyP4fP5THBwsO7EiRPiffv2hel0OoqiKIhEIu1bb73VBABvv/12wPvvvx909uzZal9fX7q4uLg8IyPDaenWvQCOAfg5gP+C3lzgdQDnoHfjISLpBmgaqDkrxLX9YlR84Q1ap1fBoMSRof+cfnj5T49V3GxDDX2q2VCzDEIQwhFuJpbGlGtvr75xRyQCrDQZzEU+uusupHz8MfZYbEHZk5iIE01NaLj7buOWEAO7rUR9jqZ3TQ0OyIyk63H1PsmtW7fKv/nmG9GSJUuSaJrG3r17ZUKh+baE3t5e1m9/+1vptWvXyiMiIrQA8OOPP3o9+eSTcRUVFWUJCQmq7777rsryeZPFnkhSJn+MMAyzZzpenDAxhjrZKHpPhIIDIvTU6of+WRwGC7fqDcZj7xies1Gjo0ggQRCCjDVLwz/WxHKu1CMnwnh1xByTNKvlfZbR5KVNm8ZdkWXAYHBAZiQ9C2ftk2Sz2Thy5IhsvMcIBAKGxWKhsLDQa/369YMqlYrKz88X+vv7awHg7rvvHnL09Rxh3H2SFEVdgT6SfBT6SDIBwKMMw6wY76Jkn+T0wTBAw2UB8veLceuUD3RqfcrfL0qDzOflyNzeD98w11vFzQaUUBrFEgBiEYsgjM7wvZx6HBgaAtLT9UYCcxxbexuN9yuViP/2WwzT1rMYK0NCzGqfq774Apc77PdVCNlsVG/YYPM1Z9rOyPGY6j7JuUJxcTH/rbfeCq2pqRFwOBxm8eLFipdffrk9PDx8Ug4oU90nOTe6PTwMpZyFn47ph/7bb+nNvimKQeLGQWTvlGP+vQqwPGjV4kzEtMGnE50IxKgVmqKvBa2BGoQr2frNHwSH6ogvxMZCweHgo7q6MUufT1nY3DnSLGSINufyjCRhLGlpaapjx441uuK17IlkGIA7AEQ4/ygEAGi+zkf+fjGKj/tCo9BHjT6hWmTu6Efmc3L4R3uWVdxsQAABpJAa/18DDcp9mvGv55Jxx9dD2HyFQfiYtoO5h8PesN7e09ZkQ2YkCe7GnkjuG/n3BZPbTjnpLHMWtYJCyUlfXNsvRnPB6CfmuHUKZOfKkfzAIDg8Nx5wjsGAwaIiDYozODj/Mx98f38f1v3Ix+avvBDWNXfDd0ciP0NKdldCgtntk22ycXQ0hUBwFvYcd942/DdFUesA9DMM857TTzVH6LjNRcEBMa4fFUE5Mhok8NMh/Zl+ZL8gR3DSzLOKmw3wGC5e+mUtBoQ6nPo/qfh+NY1zq1X4boUK637kY+cxb3B0pEPKGsSInDDbcNhMgGGY75x5kLmCVg2UnfZBfp4Ydd+PfqKWLtVbxS18dBBcL1IGdifBFb3w6RwGEyrEL//mh83f0jh1/zC+X6ZCtz9NBNIGxIicMBtx45bAuUVvPQffvhKIt6JicfLn4aj7XgieN42s5+V48Xojdl5tQvozA0QgPYDYS00AgLqVkXjjcDzCO9j45Xs++MseP2w7OfrmXhWjxV9yBtEWRLqLgYkZkRNmJ42NjRyDT6qlTZwzoE06qQ2vV1ZWxvvggw/EH3zwgfj48ePigYEBVkZGRmJjYyNnMmeaiC0dYYLQOqDyH97IzxOj8mshGEYfgYSmqpCdK8fiJwYgEJOhf08j9lIzAKBuVaTZ7eEd5vXIjzYqULBYg++Xq7DuCh+PzPGaJWmymX24Y1XWhQsXhM8++2zsvffe2/fXv/612fJ+T1uVRZgEA21sFB4WofCgGH2NeqcWNo9G6hb90H/0SiUZ+vdQ2Codoq7pDUTqR0TS1p7JZz/0hs/QMC4sV+HsahW+m+NiSZpsnEhsrFNWZaGuzqNWZQHAtWvXvLdt29bZ0tJi9QGuXpVF0q3TBMMANee98MGWMOyVxuLs74PQ18hFQLwa9+7txO7mOmw91o6YVUQgPRnJ9XZwlTp0JAZgKHj8ull4BxsvveeD//m9H9Zd5oNhAWdXq/Cvr/fhh2yVi05MIDiP3bt3d+bn51fk5+dXXLlypfL777+vzsrKGjRdlZWWlpa0adOmeYbn2FuVtWXLlu6cnJwo2obpxK5duzpFItG4NYzz5897P/HEE7HvvPNOw7FjxwI/++wzf1ursoqLi8sXLFhgezmqHUgkOUUUPSzcOCpCfp4YXZUjVnFsBgseGsTSXDni7lKART6KzBhibKRaxyNiRCw3f+WFU/cP40qGCimVo79aWjZDmn0IU8NOxOcM3LEqyx6eviqLMALDALJrAuTniVFy0gdapV4FRZEaZD7Xj8wdcogjSTPHTMTQtFO72lwkbaVcTTGI5baTQviMGEHoKAa/2SNHQh0Hm7/yQugcTMMSZibuWJVlD49blUUwRzVIofjvequ41p9GO/gS7hlC9k45EjcOgU3+RmcsXr1KhJd0QctjQZYdbv8JNjAIJABUxWohi9ChQaLT1yx/5GPz10QsCTMDV6/KsocnrsoiAGgr4eHafjGKj/lCNaB/cxMGaZGxrR9Zz/cjMJ4M/c8GYi43g2KApswwaL2m51cjqZaL//m9Hz7aOIwflqlwds2oKQERS4Kn4+pVWY7gaauy5iwaJZD6JPcAAB0RSURBVIXSUz64tl+Mxh9HI/XoVcNYmitHyiOD4PDJTONswl490pGUqzUiOtj4t3d9sOVLLzOxLF6gwf7f+YHNkHolYWbhrFVZBgw1Tmu4elUWEUkLuqu5yD8gxvX3RFB06z/l8311WPz0AJbulCM0VW3nCoQZCcPYnI+cLgxiqW/wUWB+LdcokENeNIaEDEK6SWRJ8BzeeOONtjfeeKPN0cdHRUVp8/PzKwCgsbHxljPO5OXlxXz++edVb731Vuibb74ZbliVdfr0aZufYIuKiiZ9JiKSAHQaoPwL/dB/9ZnRGnX4EiWW5sqx6LEB8H1I1Dib8a/vh1/zIBT+fLSlBNl83GSjSVMi29n4t3d9zW77YoMSp+4bxp2X9WlYIpYEgm08aVXWrKZPxkHhIREKD4kx0KL/q+B60Vj48wEszZUjMlNFZhrnCIYosn5FJMBy/Td9wJsBwwLOrFXh/EoVEUsCwUOYcyJJ00D1t0Lk54lR/oU3GFr/hhicpEb2TjmWPN0PL39iFTfXMPq1OinVao/nPvDGfecFOHW/Aj8sU5uL5VdeCOkhYkkguIM5I5JDnWwUvStC/gExeutGrOK4DBaMWMXFrh0mUeMchdLSiL7SAsAxkZyOlKs1DGnYzV/pzMRyRRGPiCSB4CZmtUgyDNBwSYBr+/1Q+rE3dGr9/JpftAZZz8uRub0fPqFk6H+uE3GzE4IBDbpjROiX+Np/gpMxFctL2SqklY2anpxdpcSiMi4RTQLBRcxKkVTKWbjxvn7ov6OMDwCgKAaJG/VWcQn3KMAi7zGEEYz1yFUSN5/EnMh2Nh79YtQ/VhauxV+fHgKbBu68rDdSJ2JJ8CQaGxs5mzdvjjfY0jmrw9UATdMwGJsbXq+srIxXXFzsBQAMw2DTpk0Dd9xxR8Lp06drVq1alTTRM80qV9HmIj5OPxeC/4qIxZcvhaCjjA+fUC3ueKUH/1FXj6e/aEXifUQgCebEXhypR652vB75xiG7Cw+mHb6awpprPNAs4Nu1Krz4Rh/2PzmIjgCSDSE4h4MHD/pnZGQkmv6RSCQL33zzzWAA2LdvX1BqampyYmLiAmum5pYUFxfz165dO8/W/S0tLZwHH3wwNisrKzE1NTX5jTfeCLZ8TFpaWlJqamryokWLknx8fJaUl5fzNJpRrwPDqqzm5mburl27opRK5ZQKaTM+klQrKNw8oY8amwtGreLi7lQge6ccCx4cBNv6RhYCAbxBNSJ+6gDNptCwLMLdxxmXkG42/v2wPg370UYFLmWr8e0dKpxfpcKGH/h47rg3KJDC+mzlITxkc11WDnIaHsSDXQDwKT4NOoqj0bYeexqnHTZLd/WqrNbWVs4rr7zSmpWVpRwcHKRiYmIW/ed//mcny2RLhKtXZc1Ykewo4yH/gAg3joqglOu/iV7+OizJ6Uf2TjmCE4lVHME+UVdbwdYyaEoPgUrEm9BzndXAYw9JGxu/OuSLLV+OiqWSDyKQhGln9+7dnZa+q48//ni06aqsw4cPB2s0GsrHx4cG7K/K2rp1a3dOTk7UsWPHGlkWK5IyMjKMXq7t7e2csLAwteVjAP2qrF27dkmOHDlS/6c//SmksLDQ29aqrE8//bTOkSjXFjNKJLUqCmWn9UP/dRdGazXSZcPI3inHwq2D4HqRoX+C44y67HhWPdIRTMWSb2IEVZSqRv5iNR75mtQsZxOORoAP4sEuQ1Q5Fdy5Kqu/v5/1xBNPxB48eLDe9HayKssGPXUcFBwUo+iwCEOd+iPzvGmkPTmA7BfkiFhCFtwSJkfcJOqRnoakzVwIT/5sGFVxWpxfpcKdl/SmBMFELAkTxF2rsnp7e1kPPPBA/J49e1pWrFgxbHofWZVlAq0DKr7SR41V/xSCGfG4DF2owtJcOdKeGIBARIb+CZPHt2UQgbVyqHy4aEkLmdQ13JVyHY+X3vXBRxsVuGhSs7zrEh+PELEkTBBXr8rq7u5mb9y4Mf6VV15pvf/++wctn0NWZQHob2Wj8JAYhe+IIJfpI30On0bqVv3Qf9RyJRn6J0wLhlRrw7II0NzZ0+htWbO8mK3GN3eocG6VCv/5F19k3JpY7ZUwd3H1qqxXXnklvKamRvDqq69GvPrqqwCAkydP1sbGxhpff06uyqJpoPa8F/LzxLj9mQ9orV4FA+eNWMXl9MM7iESNhOnF2Vs/3I2lWP6UokFy9eivvIbDgKslnzgJE8dZq7Ly8vKa8vLymsZ7jKtXZVGWHUHTQWRmJPNi4Yt2H6foZuH6Eb1VXHeV/tMti80g+YEhZOf2Ie7OYVhpbCIQpg7N4N+zjkHYo0Te2S3oifez/5xx8LSUqzUUAhpCpf4XSsVj8K+v9SHzJhePfO2FoF6ShvUEqMOHixiGyQSA4uLi+rS0tCk34MxGiouL+W+99VZoTU2NwLAq6+WXX24PDw/XTvJ6QWlpaTHW7nN5JMkwgOyqANf2i3HrQx9oVfpfWlGkBlnP9yNzhxyiCDIcTXAuobe7IexRQh7hjZ44sbuP4xIMAgkAN5M06Pan8c91KpxdrcL6i3wiloQZw6xclaUaoPDT30XIzxOjrXjUKi7h3iFk75Qj8f4hsD0i+UuYC8ReNEm1TkOR2xMbeMYj6yYP/+9/i/HRxmFcylITsSQQbOB0WWot5iE/T4yfjomgHukOFgZpkbm9H1nPyxEQN6no2KPZv2o/mi6Pm1YHAEhWSpB7KdcFJyJY4ql+ra5E2srBr9/xxZYvtWZiWRWrxb7Xp5Z+JkwLNE3TFIvFIsPfToSmaQqAzaYXp4gkQ1NGg/HGK6PjKTGrh5Gd24eUh4fA4c/e77skSwJBlgCpf0q1+Zhbv7qFYGqMLSHBBXCUWkgL2gAA9Ss824rOFViK5fKi0e7XXhENHZshkaV7uNXZ2bkgODhYToTSOdA0TXV2dooB2DQ9d4pItt3k4VROGACAL9IhPWcAWS/IEZqitvPM2cHaXWvx55Q/Y96ueRCEC8bcr2xVQva+DJtLN7vhdARJQRs4ah3aUgKhCJz0jPEYZlrK1RKDWJpy4mcKnF85kob9B0nDuhKtVrujra3tUFtbWypm2TIKD4IGcEur1e6w9QDnRJI6ChHpSmTnypH22AB43nPrQ5AoXIQlOUtQvbfaajRZvbca6Tnp8A1z/+7CuchsH/2YLhgwUPMAHRv4550mNUsili4hIyOjA8DP3H2OuY5TPp0EJ6nxYpEMWTv655xAGli7ay1kR2VQtpoZShijyLW71rrpZISZ7NfqSihQ+Ld3ffDn/yPGqnyeUSxz3+jDwccH0SMms8uE2Y9TRJLrTX55TKNJU0gU6V6EXcMIK+uGhs+GLCt02q/vjj2TziaqhYP/OOhrJpb/uFMFObGFJMwBSJ7biVhGkySKdD8xP+qjSNn/b+9Oo6Os8jSAP29lqySkkoBAUqRSCQRtDSTsYkSiQtLSNh4N7h+McBw17XQf6B7T4zB9BgZbENtGT7sBArJoN2p3O9JqxtbRRkIUBGTxzJQJkFpIJQRIWJJU1jsfKm/tlVSAylvL8zuHD6m89eaqWE/u/977f2dmoDeBZ46GQg7Ll/8jFYt3JiHX7Pz3t2t+B86k83wzRR5+SgSR59rkUGaRPEYSHG7nI4Mk3DfwDEZnjYXO6vzoOHZtNzY/2I5ti9pR8lUCyrhmSRGEIRlk8k7XrEeyhrSjlcdIgkAI53rkLVyPvFrSz6swZ188qmd04ZPbO/H3WzoZlhQxWG4NMnk2uXfe3iGtRfrb+CNj6XboRh1vhaaxDW2jEnH6RyOVHk7EGNcUg19tSMG6Fam4eb9zzbLiuVZsW3RVe00TDTuG5DAoriyGbpZuSIHmb+OPjBuAhs5ZatUCquA+/SISN/AMRt8Qi39Z7x6WROGO5dZh8PZ9b8NSbcGazDUDXue5vuivKQGbEVweHv0YHnJYGrU9SL/g/D38f4psOK7vRdknaoxqZYJSeGBIDoNA1hcP/+wwjJuMWC4td77v5iyfTQk4ixw6VXcfsr+xPxuWTQSGh77B+fHSJwm8u7ADTaP78Pe5NpTuVuMehiWFAZZbh0Eg64uWnRaUGktxt7gbd4u7kbc0z1Gi5TGSKzfuUBMS2rpxJi8NlzKSh+VnRmPJ1R+VkPDMH1JQtD8e3XHAR/NsqFjdijcfasPZNB4dodDFmeQwGKxNXe3aWmSXZ0OdYS+pupZTUzJSHO89t/8czlWfA4ABS7c8FuKNreiUp2+IxdPrU2Dc1YN3F3Zg78wufDTPhk/n2rDqBQ2uOxGn9BCJvDAkh8lA64umbSbM+36e4zXPcqr83tF3jkZqQSoKXyv0+3N4LMS3HIZkyHCE5d968O5PO3BC34MJRudHUWe8QEJXcDdWEQWKIRmgQA/3xyTFoLfdd/lIFa+C4VkDzh8+75gRyqoyq9y+rkMd9q3fh8ypmajYU4Gp5VNxYMsBiF6B635zHZ8uMgQJFzqhPdyM3lgJphszh/VnR3pjgSuhP2UPy44Egdheeyi2pvTh56taUfxNAso+TsTI81wRImUxJAMU0Oabnx+GKk6Fyb+fjN1zdnsFYV9XH06+dtLttZE3j8TcPXO97nV02VGcrT4L3SwdAPtssvl/m5GmT+PTRYZIX9MAVZ+AaXoGukbED/4GGlaJnc5Z43f53bg0QjjKsKX/UKPsE4YlKYch6Ye/mWPdS+7nFuWQs1ltMG02Ye5ee+Clz0xH+sx0TF432e/POLL0CCQf5/VsVhtMW03o6ehBzf4amPeZUbGnAkuqluCC9QKPhQyR0uuRnE0G7tavE5BrjsHOhR2omdGFj+bb8Gkxw5KUw5D0I5CZ49FlR4H+jDM8a8CY/DEwv2VG6rpUTKyciM/zP8fEyol+S6OmzSbM/2G+1/dq19YiOS8Zo+aMgiQktzVGf5uAfM0i2f/VztmKjuuR4UB/KhaVb6TAOK7HLSytY3vxm5c1Sg+PogxD0g9/G21krhtubFYbLNstePyrx/HmbW863pNdno3atbVes0nXUqznWqQr0Stgq7ehPa/d7fwkAKjUKsfPsVltOLH+BNomubcAY/9XINV8ASPrL8CWEg/r5Mj954xEcljWZ9k3+Pz0M+f/h43X9CK+W+LMkoKOIemHY8b2fB0mveQdMoZnDei91OsWcq9OeRUAUKV1vhaTFOM1m0y5IWXQXapyc4G+rj40fteI3Ipct+uPLjvqCODatbXQTNIgZ06O2z0CCfpIL9HKrejqb9ZCxCr3gcqS6+XLsdjD0tXmB9pwOL8bpf9Q454qlmEpeKI6JAMpR6rUKuT92sf633YzdOU6TN0w1e97jy47iuYvm2FYZXALuL7OPlj+aBlwl6rlT/bmAuoM+0zx8/zP3a6Xy7m6R3QwbTVBEhKKP3RvMDDY+cxo2Oij9HokXX09MfbdsF3xwN9KnGuWDEsKhqj+G5U1Mwt5S/McXW58/dFM0uCH3/7g9j7DcwYkT0hGw/sNA3bRMW0zQZOvgWmrya1jjvWvViTnJaN2ba3P9xqeNSD7UWdzAXWmGtp7tTCsMjiukcu51fOqkZyXjOmLp/sMO3/dfqKhc4/U24ecvQ0A2K81ksT2Sqh8w95I/aZv4x1hWbG6BZseaMP5EX1KD5EiSFSHZCDt4trr2mF5x+IWcpa3LWg72Yaxd451Cy5XhlUGjP3JWDR/0oz8snzHdbVrazHuoXFoP9kO01smn+Fl3GLE8XXH8YH0geOPcaPRLWwB+2wydUoq2mvb/Yadv6eJRMMsMuPYWSSe70SLLgWteuU3fLBN3dUll2HXrUjF7AP2sKy61YbuOKH00CiCRHVIBvI4qumLp2Na+TTUPW+/xvBbA5LzkqFfrEfjrkaYtvsOOssOC5p2NWFa+TQsWLsA5u1mtB5qhWmbCdevvB76xXokTUjymk0anjMg98lcrxltbkUuRl03ym2s6kw10grT/M4iZdHa/zV3j72UXs9Sa0TLscTi16+n4PcrUvH4O8mOBz33SgLv3dmOc6mcWdLli+qQBAIrRxZXFsO8zR5y5m1mXPrhEnTlOoycPRJZD2d5BV3d2joUPFSA7NnZKK4shiZTg8KHCrHntj3Q3quFOkMNXbkOF7+/6DablGepEysneo3FssOC+7fcf1lh5/nLQDTMIoHQXI/kbDJ4ci2xKPnKucZfM6ML79zTgYrVLdj8QBvDki5L1IdkIOVI+ZrqedUAgIyFGTBuMKKoqgjXr7jea83RvM2MkpUlWFK1xBFE81fOx4jRIyAJ+8FKy1YLxk4e67Y26bkWKTOsMqDg4QJkFmZedtjJvwzIQR/ps8i49m5kHWiCkID6Iq3SwyEFZJ+KcZRhd/WvWTIsaaiiPiSBwMqRxZXFyJ6VjYIHC9C0qwnm7fbrPTfV+AsuTaYGT+x+Atb3rY6gWrRxEdpr7WuTrYdaYdpiQnZ5ttv75FlkyYoSt7EONezkoN87b29UzCJ1+xoR090H6+TRsKV57yCmyJfd4CzDeoble3e2Kz08ChNRfQRE5nlUwlfQaTI1jrZw503n3XqoSpBg3m6G/p/0A547dA0qdaoar0x5BYC98fme2/ZA9Ap8MeULt/ck6hNR8HCBYyyu95j+6MBrkZ7k/q+RPosEnOuRoVRqlfHM5PDK7V+zPJnVg513deCbaV1Q2/iUEQqMJMTV3wk2bsY48dS3T131+waT3BP1ps9vQs38Giz7fplXAAXa5k09Rg3bad87Zl0l5SSh9GQpbFYbDi4+iGlvTXMrtR5ZegTGTUY8Xfu0YyzyGFRqFfps/stGkd5qbjCP3fE+xhhasOOPd8I0O/TKrQxJ5ZzU9UDbGIOEbntQflDagXNpfbinKhHpF5QtrkmbNh0QQsxQdBDkhjPJfppMDeI18dhz2x70dfT5fKixKl7l1fnG07Glx9C2tw3JDycP3A5u6THUb653lGyLqorcvm+z2lC/od5rLKp4FXJ/lovCV/lMSX+ST7djjKEFXYmxODV1rNLDoRCTa3Z5dmWcwJ9/0oFLIwT++1YbfvylOiTCkkIH/ya4mFg6EQmjE1BqLPXZWKC0vtSxFumL3ImnbGPZoOcvzdvNKHiwwO/xk9q1tT6PgmSXZ8O8bZB7R8HGnIHIu1pNN2aiNyFG4dH4xl2uoSGhW8LKFzW48WCcfc2y1IYnV7dgy/1taNFwgw8xJN2UrCxBz9keYKAKtAqOM5Oe5LVMbaHWa8fs7jm7HY0BqrRV6DzXiYMbD6LupTq3pgG75+x2dOvxdRTE+mcrCh8uHPBsZzRszBlIKK9HUugZb47Fv76mwYsrU+1hmQB82B+WlgzfD1Cn6MGQdBFIc4HCBwp9zuQ8Z3CeO2bTZ6ZjwtIJA7bAy63IRev+VlRpq9B9rhv77t3n9fOnlU/D/BXzo7bV3KCEcMwkQ72JAGeTocU1LGcdioP+VCzGNTo/IjsS2MknGjEkPRRXFuPkhpM+A+jE+hM4sPEAutu6vdrRec7gPAN3YuVEr7Zynve37LQ4Sr3jfzEe6bPS3b4vB2A0t5obzGhDC0Y0d+DimCQ0X5s++BuIPIw3x+KZVzVY9YIGUv8DY0+N7cWSF8/hrfva0MoybFRhSHrQZGow5oYxMDznHoKua4Sl9aVu7ejkAK1ZV4Pl0nIsl5bj9Tmvu80mfTUp97x/dnm246kfpi3u5VbPAIzWVnODcSu1StzmT5dP3v0KAAcnd8GmBv7rxzY8sbqFYRlFGJI+lG0sg2mTewh6rRGqgB+etz8dxHOTTd7SPOhm6bxmfPJ5Sl+zVNf7167pb3MnnN/3DMBobTU3mFBsRTcQllzDw8LPEh1l2K4EhmU0YUj6oJ2ixZh852zSdZYH2NvEZdyV4ejn6hpw/tYmWw+1+t104zmLtOywuO189ReA0dZqbjAxnb3I/sYKIPTXIyn8yGVYz7DcvojdeyIZQ9IPeTbpKwQtOyyIS4xzPM/RNUD9rU3K7eA8N914ziLrnre/v2RlyaABGG2t5gaTdbAJcbZenL5uJNpGJyk9HIpQclj+7j/tYVn2caLjeyZtD2eWEYYh6Yc8m6y+3TsECx4qgPV9K3TlOqTPSvc7i5QVVxZDN0vnc9ONYZXB8WQQ+fyk63WDBaDrvaNdTpiVWmUsuYanCSZ7WI5rsp/FFRB45dE2exn23ja0pjAsIwFDcgBlG8sgeoSj6bjrEz6mlk+FZasFRVVFfmeRMrnvq+emm9ZDrbDssDieDOJrc85gAeh572jm2LRzS3iFJEWGDrVA2nnJXoa9w4Yn1jAsIwFDcgDaKVrMeGwGzG+ZAbiH2JXsLnWdJcqzUl9lVQZg4BJbbMg8egY98SqYZmUqPZwh42wy/CXZVPi3VzX43apUzJTXLF3Csi2RYRmOGJKD8Lc55kp3l8qzRHlWynXFK6Pf2wBJAJbpY9GTyJbEpJwJxlivsPzslk6lh0WXiZ8mgxjo0VTFlcV4Kf8lZD2SNeAjsvzdd0nVEsd9ouURVsHiPPqRpfBIiOzksDyu70Hj6F4kd9jnJJ1xAn9Z0IEFX6iRdpHzlFDH/0IB8Lc2eLV2l7KseoWEiIh+rSy5RqYJxljc/G2C4+tP59rw7l0deHJNC7ZyzTLkMSQDMFCIcXep8tKNF5BmuYT2tAQ05Y9SejhEA7qhNg4zDsehMwH44A4bnlzTgm2L2nB+BMMyFLHceoVcy6akDLnUaizSQsTw9z4KbRNMsVj+Bw3q9D3YeVc7vi3sxl8X2PDx7TbgZaVHR574iUJhL/crudQa/uuRLLlGjzyjPSxfWJXqmFlS6OFMksKa1NMHfU0DAJ6PpPAkh+UJXQ8+UHow5IUzSQpr2iPNUF/sxtkcDc5nRcbGJ84mo9N4M+csoYghSWHN+YDl8C+1ElHoYUhSWHOsR7LUSkRBwJCksBV/qQva706jL0aCcbZW6eFcVSy5EoUGhiSFreyvrYjpEWgoHI1OTbzSwyGiCMSQpLDFVnREFGwMSQpbuWH6/MhAseRKpDyGJIWlFOslXHO8FZ0j4tAwZYzSwyGiCMWQpLDkaEV3Yyb64iL3rzFnk0TKitxPF4pozvORkVlqJaLQwJCk8NMnkFPdvx55CzftEFHwMCQp7Iz5v3NIPmvDhcxknB2fqvRwgo4lVyLlMCQp7Dif+jEOkCSFR0NEkYwhSWEn0o9+EFHoYEhSWInp7IFufyMAoL4oekKSJVciZTAkKazo9jchrrMXjTeMQvs1iUoPh4giHEOSwkruHpf1SCKiIJOEEFf/ppLUDMB41W9MRBTZ9EKI0UoPgpyCEpJERESRgOVWIiIiPxiSREREfjAkKWpJkpQjSdJnSo+DiEIXQ5LCniRJ/yxJUr0kSV97/Jnrcd1jkiT9NsD71fTf44HgjZyIQl2s0gMgukq+BfClx2u1Hl/PBnARACRJqgaQAuC06wWSJE0AsKT/2gQA+yRJ+lQI0RKEMRNRiGNIUqSYBiDD47UzAP4EAJIkLQAgAWiTJOlXAOYC0AF40+M9twP4UAjRBaBLkqTdAIoAfBTEsRNRiGJIUliTJOl2APUAfuHn+3MBTAUwBcBTADoAPAnglwDe8/GWa2APV9kZADy3RhSlGJIU7nIAaAb4/hkAbwghOl1eex0AJElKhfdMsgXAKJevU/tfI6IoxGYCFPb6y6f3+fjWvwshPnO57lHYZ5EC9k1rZgC/FEKYXK6ZBGA97OXYeAD7AZQIIaxB+wcgopDFkKSIJEnSswCOCSHkNckfAXgbwG1CiAv9r90DYIkQYqHHe58BcDfsYbpBCLF5WAdPRCGD5VaKFhcBJAG4VpKkIwCSAUwC0Ox5oRBiNYDVwzs8IgpFnElS1JAkaSaACgC5ANoAVAN4WQjRrujAiChkMSSJiIj8YMcdIiIiPxiSREREfjAkiYiI/GBIEhER+cGQJCIi8oMhSURE5Mf/A+l0RwHZrYnoAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_2d_classification(linear_svm, X, fill=True, alpha=.7)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "line = np.linspace(-15, 15)\n", "for coef, intercept, color in zip(linear_svm.coef_, linear_svm.intercept_,\n", " mglearn.cm3.colors):\n", " plt.plot(line, -(line * coef[0] + intercept) / coef[1], c=color)\n", "plt.legend(['클래스 0', '클래스 1', '클래스 2', '클래스 0 경계', '클래스 1 경계',\n", " '클래스 2 경계'], loc=(1.01, 0.3))\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라미터" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [], "source": [ "# 한 줄에서 모델의 객체를 생성과 학습을 한번에 실행합니다\n", "logreg = LogisticRegression(solver='liblinear').fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "logreg = LogisticRegression(solver='liblinear')\n", "y_pred = logreg.fit(X_train, y_train).predict(X_test)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "y_pred = LogisticRegression(solver='liblinear').fit(X_train, y_train).predict(X_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 나이브 베이즈 분류기" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [], "source": [ "X = np.array([[0, 1, 0, 1],\n", " [1, 0, 1, 1],\n", " [0, 0, 0, 1],\n", " [1, 0, 1, 0]])\n", "y = np.array([0, 1, 0, 1])" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "특성 카운트:\n", "{0: array([0, 1, 0, 2]), 1: array([2, 0, 2, 1])}\n" ] } ], "source": [ "counts = {}\n", "for label in np.unique(y):\n", " # 각 클래스에 대해 반복\n", " # 특성마다 1 이 나타난 횟수를 센다.\n", " counts[label] = X[y == label].sum(axis=0)\n", "print(\"특성 카운트:\\n{}\".format(counts))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라미터" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 결정 트리" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_animal_tree()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 결정 트리 만들기" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mglearn.plots.plot_tree_progressive()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 결정 트리의 복잡도 제어하기" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "uuid": "6e5d7a76-9bba-42f7-b26e-907775d289b2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 1.000\n", "테스트 세트 정확도: 0.937\n" ] } ], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "\n", "cancer = load_breast_cancer()\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, stratify=cancer.target, random_state=42)\n", "tree = DecisionTreeClassifier(random_state=0)\n", "tree.fit(X_train, y_train)\n", "print(\"훈련 세트 정확도: {:.3f}\".format(tree.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(tree.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.988\n", "테스트 세트 정확도: 0.951\n" ] } ], "source": [ "tree = DecisionTreeClassifier(max_depth=4, random_state=0)\n", "tree.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(tree.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(tree.score(X_test, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 결정 트리 분석" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [], "source": [ "from sklearn.tree import export_graphviz\n", "export_graphviz(tree, out_file=\"tree.dot\", class_names=[\"악성\", \"양성\"],\n", " feature_names=cancer.feature_names, impurity=False, filled=True)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "Tree\n", "\n", "\n", "\n", "0\n", "\n", "worst radius <= 16.795\n", "samples = 426\n", "value = [159, 267]\n", "class = 양성\n", "\n", "\n", "\n", "1\n", "\n", "worst concave points <= 0.136\n", "samples = 284\n", "value = [25, 259]\n", "class = 양성\n", "\n", "\n", "\n", "0->1\n", "\n", "\n", "True\n", "\n", "\n", "\n", "14\n", "\n", "texture error <= 0.473\n", "samples = 142\n", "value = [134, 8]\n", "class = 악성\n", "\n", "\n", "\n", "0->14\n", "\n", "\n", "False\n", "\n", "\n", "\n", "2\n", "\n", "radius error <= 1.048\n", "samples = 252\n", "value = [4, 248]\n", "class = 양성\n", "\n", "\n", "\n", "1->2\n", "\n", "\n", "\n", "\n", "\n", "7\n", "\n", "worst texture <= 25.62\n", "samples = 32\n", "value = [21, 11]\n", "class = 악성\n", "\n", "\n", "\n", "1->7\n", "\n", "\n", "\n", "\n", "\n", "3\n", "\n", "smoothness error <= 0.003\n", "samples = 251\n", "value = [3, 248]\n", "class = 양성\n", "\n", "\n", "\n", "2->3\n", "\n", "\n", "\n", "\n", "\n", "6\n", "\n", "samples = 1\n", "value = [1, 0]\n", "class = 악성\n", "\n", "\n", "\n", "2->6\n", "\n", "\n", "\n", "\n", "\n", "4\n", "\n", "samples = 4\n", "value = [1, 3]\n", "class = 양성\n", "\n", "\n", "\n", "3->4\n", "\n", "\n", "\n", "\n", "\n", "5\n", "\n", "samples = 247\n", "value = [2, 245]\n", "class = 양성\n", "\n", "\n", "\n", "3->5\n", "\n", "\n", "\n", "\n", "\n", "8\n", "\n", "worst smoothness <= 0.179\n", "samples = 12\n", "value = [3, 9]\n", "class = 양성\n", "\n", "\n", "\n", "7->8\n", "\n", "\n", "\n", "\n", "\n", "11\n", "\n", "worst symmetry <= 0.268\n", "samples = 20\n", "value = [18, 2]\n", "class = 악성\n", "\n", "\n", "\n", "7->11\n", "\n", "\n", "\n", "\n", "\n", "9\n", "\n", "samples = 10\n", "value = [1, 9]\n", "class = 양성\n", "\n", "\n", "\n", "8->9\n", "\n", "\n", "\n", "\n", "\n", "10\n", "\n", "samples = 2\n", "value = [2, 0]\n", "class = 악성\n", "\n", "\n", "\n", "8->10\n", "\n", "\n", "\n", "\n", "\n", "12\n", "\n", "samples = 3\n", "value = [1, 2]\n", "class = 양성\n", "\n", "\n", "\n", "11->12\n", "\n", "\n", "\n", "\n", "\n", "13\n", "\n", "samples = 17\n", "value = [17, 0]\n", "class = 악성\n", "\n", "\n", "\n", "11->13\n", "\n", "\n", "\n", "\n", "\n", "15\n", "\n", "samples = 5\n", "value = [0, 5]\n", "class = 양성\n", "\n", "\n", "\n", "14->15\n", "\n", "\n", "\n", "\n", "\n", "16\n", "\n", "worst concavity <= 0.191\n", "samples = 137\n", "value = [134, 3]\n", "class = 악성\n", "\n", "\n", "\n", "14->16\n", "\n", "\n", "\n", "\n", "\n", "17\n", "\n", "worst texture <= 30.975\n", "samples = 5\n", "value = [2, 3]\n", "class = 양성\n", "\n", "\n", "\n", "16->17\n", "\n", "\n", "\n", "\n", "\n", "20\n", "\n", "samples = 132\n", "value = [132, 0]\n", "class = 악성\n", "\n", "\n", "\n", "16->20\n", "\n", "\n", "\n", "\n", "\n", "18\n", "\n", "samples = 3\n", "value = [0, 3]\n", "class = 양성\n", "\n", "\n", "\n", "17->18\n", "\n", "\n", "\n", "\n", "\n", "19\n", "\n", "samples = 2\n", "value = [2, 0]\n", "class = 악성\n", "\n", "\n", "\n", "17->19\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import graphviz\n", "\n", "with open(\"tree.dot\") as f:\n", " dot_graph = f.read()\n", "display(graphviz.Source(dot_graph))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 트리의 특성 중요도" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "uuid": "dc2f68ee-0df0-47ed-b500-7ec99d5a0a5d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "특성 중요도:\n", "[0. 0. 0. 0. 0. 0. 0. 0. 0. 0. 0.01 0.048\n", " 0. 0. 0.002 0. 0. 0. 0. 0. 0.727 0.046 0. 0.\n", " 0.014 0. 0.018 0.122 0.012 0. ]\n" ] } ], "source": [ "print(\"특성 중요도:\\n{}\".format(tree.feature_importances_))" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def plot_feature_importances_cancer(model):\n", " n_features = cancer.data.shape[1]\n", " plt.barh(range(n_features), model.feature_importances_, align='center')\n", " plt.yticks(np.arange(n_features), cancer.feature_names)\n", " plt.xlabel(\"특성 중요도\")\n", " plt.ylabel(\"특성\")\n", " plt.ylim(-1, n_features)\n", "\n", "plot_feature_importances_cancer(tree)" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "hide_input": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Feature importances: [0. 1.]\n" ] }, { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "Tree\n", "\n", "\n", "\n", "0\n", "\n", "X[1] <= -5.814\n", "samples = 100\n", "value = [50, 50]\n", "\n", "\n", "\n", "1\n", "\n", "samples = 25\n", "value = [25, 0]\n", "\n", "\n", "\n", "0->1\n", "\n", "\n", "True\n", "\n", "\n", "\n", "2\n", "\n", "X[1] <= 5.348\n", "samples = 75\n", "value = [25, 50]\n", "\n", "\n", "\n", "0->2\n", "\n", "\n", "False\n", "\n", "\n", "\n", "3\n", "\n", "samples = 50\n", "value = [0, 50]\n", "\n", "\n", "\n", "2->3\n", "\n", "\n", "\n", "\n", "\n", "4\n", "\n", "samples = 25\n", "value = [25, 0]\n", "\n", "\n", "\n", "2->4\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tree = mglearn.plots.plot_tree_not_monotone()\n", "display(tree)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '가격 ($/Mbyte)')" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import os\n", "ram_prices = pd.read_csv(os.path.join(mglearn.datasets.DATA_PATH, \"ram_price.csv\"))\n", "\n", "plt.yticks(fontname = \"Arial\") # 한글 폰트가 지수에 음수를 표시하지 못하므로 ytick의 폰트를 바꾸어 줍니다.\n", "plt.semilogy(ram_prices.date, ram_prices.price)\n", "plt.xlabel(\"년\")\n", "plt.ylabel(\"가격 ($/Mbyte)\")" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "# 2000년 이전을 훈련 데이터로, 2000년 이후를 테스트 데이터로 만듭니다\n", "data_train = ram_prices[ram_prices.date < 2000]\n", "data_test = ram_prices[ram_prices.date >= 2000]\n", "\n", "# 가격 예측을 위해 날짜 특성만을 이용합니다\n", "X_train = data_train.date[:, np.newaxis]\n", "# 데이터와 타깃 사이의 관계를 간단하게 만들기 위해 로그 스케일로 바꿉니다\n", "y_train = np.log(data_train.price)\n", "\n", "tree = DecisionTreeRegressor().fit(X_train, y_train)\n", "linear_reg = LinearRegression().fit(X_train, y_train)\n", "\n", "# 예측은 전체 기간에 대해서 수행합니다\n", "X_all = ram_prices.date[:, np.newaxis]\n", "\n", "pred_tree = tree.predict(X_all)\n", "pred_lr = linear_reg.predict(X_all)\n", "\n", "# 예측한 값의 로그 스케일을 되돌립니다\n", "price_tree = np.exp(pred_tree)\n", "price_lr = np.exp(pred_lr)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.yticks(fontname = \"Arial\") # 한글 폰트가 지수에 음수를 표시하지 못하므로 ytick의 폰트를 바꾸어 줍니다.\n", "plt.semilogy(data_train.date, data_train.price, label=\"훈련 데이터\")\n", "plt.semilogy(data_test.date, data_test.price, label=\"테스트 데이터\")\n", "plt.semilogy(ram_prices.date, price_tree, label=\"트리 예측\")\n", "plt.semilogy(ram_prices.date, price_lr, label=\"선형회귀 예측\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라미터" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 결정 트리의 앙상블\n", "#### 랜덤 포레스트\n", "##### 랜덤 포레스트 구축\n", "##### 랜덤 포레스트 분석" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "uuid": "b84dcdfe-994f-4a3d-842e-830153eefc59" }, "outputs": [ { "data": { "text/plain": [ "RandomForestClassifier(bootstrap=True, class_weight=None, criterion='gini',\n", " max_depth=None, max_features='auto', max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=5, n_jobs=None,\n", " oob_score=False, random_state=2, verbose=0, warm_start=False)" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.ensemble import RandomForestClassifier\n", "from sklearn.datasets import make_moons\n", "\n", "X, y = make_moons(n_samples=100, noise=0.25, random_state=3)\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y, random_state=42)\n", "\n", "forest = RandomForestClassifier(n_estimators=5, random_state=2)\n", "forest.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "uuid": "76ce4154-b441-475e-97e3-1b507964eb29" }, "outputs": [ { "data": { "text/plain": [ "[,\n", " ]" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 3, figsize=(20, 10))\n", "for i, (ax, tree) in enumerate(zip(axes.ravel(), forest.estimators_)):\n", " ax.set_title(\"트리 {}\".format(i))\n", " mglearn.plots.plot_tree_partition(X, y, tree, ax=ax)\n", " \n", "mglearn.plots.plot_2d_separator(forest, X, fill=True, ax=axes[-1, -1], alpha=.4)\n", "axes[-1, -1].set_title(\"랜덤 포레스트\")\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 1.000\n", "테스트 세트 정확도: 0.972\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, random_state=0)\n", "forest = RandomForestClassifier(n_estimators=100, random_state=0)\n", "forest.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(forest.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(forest.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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IHepkSw3uNyVKSZIkLWBAJuFWy5bakfV0JE+qxiHih8P97cTXqEquKkdSg2O145MJ/XBNovR54kfBcrZPKs/n7DK13ka21KDPJEmSpAUM1OloaKFsicayngU7EePZwCllZDo3sSZ8o6R7msT3ErCGpGuIXbs6TdlN6+OS7iS2u3wV+AawX5liFzFrMA+zy5aakhKlJEmS3iMlSv2YnpZLzQkpUUqSJOk6KVEaHPS5y1MrJUpJ/yIlY0nS+2QS7iatlkuVPscRRViLANfa/p6knQiHJIBHge8TU82LEdPOR5YYv0tsnTk/8LDtXXvp0SRJkiQdkEm4+7RaLgVwKjAFWJGorP5eOb4EsJ7tGZLOAy61fYmkpYAbicrsK4BjCNnVBElLV8wggJQoJUmStIpMwt3n90TCqsmlRtBWLnUU8CsIOZKk9uRSe0n6BpG8H2vUmcJp6XBClzyVUu1duK1IniAkSytL2qu8HyZpQUKL/CYxWp5O7GHdBttnAWdFf6tk0UCSJEkvkUm4mzg8h2tyqV2ApYEfU+RSkmpypPsrcqQziKnq2eRSCvemKcRGH40S4A7AI7Z/KGk14KTKZ9WEPBk43fbtpY+VgM9FyN5f0jKkg1KSJEmfkkm4Z2ilXOpG4FeSNgP+TGwS0oiDSr8/IORR1wIXAkdKmkgUez3T0Y2lRClJkqT3SInSHNIb8iFJBwMTbN/VjTZGUHFi6i4pUUqSJOk6KVHqfXpcPmT7xB5oZgQ96MSUEqUkSYYirZLoDeok3EfyoReInbJGEbtq7Vacjxo5HNX38yFgPLEmfBWxrrsGsc/01HL9gsAWtp+pbxM4l9mdmD5J7L71DjF1vSOwDjFN/izwjlMQmiRJ0icM6iRM38iHFi3HDysWhCdIOoHGDkf1/ZxXaedDwJds/0vSFKLIaoyko4GtS8FXmzYJ04iZTkxla8qTgfVtvyBpX2Af4C5iK87P2X6dOlKilCRJ0hoGpIFDF2ip21LhKdt/Lq/vIqaHmzkc1fdT5X7b/yqvp5X4YZZDU3tt1liVyKJXlHO2B5Yqn93dKAFDuiglSZK0ikE9Eu4D+RDAkpKG255GeAo/yCyHo11Lm8sArxE/Bt5r0s677byvuibVt/nxynmPAo8Dm9qeLml+IoGv1k6/SZIkSYsY1Em40Er5EESx1vGSaqPSXcv0dSOHozmmHdekKbR1YjoauEnSDOKHwyFd6SclSkmSJL1HSpR6GEnTbA9v8llDWVPZ9/la2893sa8R9KAcqREpUUqSJOk6KVHqnzSTNe0ETAS6lITpYTlSI/paopSF20mSDGYGe2FWl5F0rqQNyuszJR1fXm8t6XuSFpF0kaRbJN0uabfy+VGSLgUWk/RtSUdImiTpj5KOlLQ/IWs6QdKPKv39iDBWuEDS/pKGlRhulXSXpG1KnxMlrSBpbknXS/okUfm8UTl3EUnTKu3uWSRQSHpN0mmljcUkHSLpTkl3SDquNU82SZIkqSdHwrPTXVnTAl2RNdk+osiV9izr0UcBU2zvLOl9wCTgamBX4BfAX4DLbN8taaYcCaBuLbvKQsBZtveVNIYGcqnqLl0pUUqSJGkNORKenb6QNVUZBXylSIquJ/5Gw20/RFRab2L7nE60M3fl9b9tP1Bpv11pU0qUkiRJWkOOhOvoI1lT9fhk4CHbF5a2Viobdvw3IS26StIBtk9u0N47pb83iR8RfyrH692VGkmbkiRJkhaTSbgxrZY13Qz8QtIdwDHAOEm7lnbuk3QMcDqxDeW/gWsk/ZnZ5Ug/JLavfAJ4utGNtSNtakhKlJIkSXqPlCj1Mc1kS3PQzgLEWvII9YAbU42UKCVJknSdlCgNHPqrGxPQ9xKlJEmakxK+gU8m4U6gvnFjeg04nyik+jJwEjCcqNg+w/ZZktYkprrfBh6pXHse4cY0nbbV0+OBccArwM+JteNXgB1sv9yjDy1JkiTpkEzCnaMv3JiqsqL5iTXfxwkbwnOBs8p/B9m+R9KGwBadvJ91gLtsf1PS0sCMOXkoSZIkSfdIiVLn6AvZUlVW9AFiD+gfEAl0WDm+iu17yuuJDdqoX/CvyZbOAe6U9FNilP1m9SRJu0u6V9K9UbeVJEmS9AaZhDuB7VeIqeSvA1cCvwT2p8iWCP3uaICKbOnBcvlssiXgW8QGHNBctlSVFe0HXFOmq/9aOf5KmZKm1n8dzwMfLP0vRvyQAFgFuMT2fuW6sXX3mzrhJEmSFtCS6WhJY4HvAhfZPq0VffYCrZYtVbka+JmkPQiP4hp7A7+U9DIwtf4i2w9J+rukCcA/CUkTwPrENplvE+vGdze76ZQoJUmS9B4tkShJug/YzvbfutHGosDWts9u55wRxPrquu2cM832cEk7AK/avrrZuT1J2aP57O5KkVpNSpSSJEm6Tn+TKC0O/KubbSwK7AY0TcJdobYjVauwfXgr++sp5kSilLKJJEmSztHrSbjIe4YDvy+Sne8CfyP2LP4xsX66ETA/8LDtXUvl8THAxsB/gFuJdcs1y37HewAbAF8jio1eIQqMGvW/PGF8MC8xJTtvOX4UMM32uOI+dCkhB3oauKz0sQTwdduTJW0P7AW8AzxGGCrsQFQkz0PIkybY3l/SjsABRFXTg6XC+VZgzxLDKcAaxJr8TbaPVngKz9ZW5T7mAk4APlnOubhUY59X2lkO+FWJqfp85wcOIiqgXwX2tv1MnQRqrO2XGv8FkyRJkt6i15NwcQPakJDpTJf0XWKHqN0BJP2LSLjDgQlFMvMFwiv302W/5iWJhDHe9phy3dyE1nUp4CrgY8BzDUI4HjjH9qWSPkTsB13P0oS2dz9JNxJrvxuVrSN3lnQGURw1utzDT4CvlmtXJRLjm8DfJB0NfBY4xvYVklaq62s34D+2Nyw/Ni6TtEmztmzXPIa/ASxoe/2SkO+UdFX57Hnb3yjPZYfa85W0BHBnuZ/XJW0B/IQoMJspgWrwPJIkSZIW0Fc64Ztg5laLBxBJ51GiSGgYMTq7slQeY/v5YkxAuU7ESHQBYmRpZsl26lkH2Le08w9JLzQ45ynbk2qviY00aq/XI/x+hwM3lGKrhYgR84vADbbfKHE9RYye9wT2kHQq8Gti5FxjbULyRNEO31na/3eTtmpJeBTwmTKiBng/pfK59jwr1N6vQmxl+Xp5fztQ8zKuSqDaoLQyTJIkaQl9JVGqyW/GErlof2KHpyXK8QeBzUuypYyOqxVkI4G1be8DnEn7mtsngE+VdtYgRs71vNvOewEPEztSbVRG4hsRI3OI6Wnqzl/O9kmEjOlsSVWdT1XOJEI2dH87bdWYTPgIjykxbM6sSun36q6rvf8nsHrlB8z6lb7qr5lJSpSSJElaQ1/vmDUROFLSRGLv5GfK8bOJjTAmSnoTuJGYRp1L0rXENPQ8sZkETwLPttPHocBZkg4jEvIbXQ3S9sOSLgfukPQWsU3kHu1csl/ZCUvAdbZfrciVzgZOKSPauYk14RvLmnB7/Bw4uey69S7xrL7WQdwvSDoCuL7IkV4n1rU7TUqUkiRJeo90UWoxkkYCS9qun0Lul6REKUmSpOv0N4lSMouRwOrMvo7bL+mMRCklSUmSJHPGkEnCZXq46hy0O3AH8OFS8bw6cCpwLLGt5OvAysTa75JEgZaJdexPdOKc6dRJioAHgMOBYZI+antsnVToL8Re05eUmCcA29p+orxfBTiNkB3NDexT5FPVNvYCLiF2wVqRkHk1k0TVKrwfzSrpJEmS1jNkkjCzOwe9AVwDfIlIWtsyq9hqNaKKeTqx3ryj7SMlXUgktdc6cc4S1EmKCCnVccDqlc07qm5JHyWqly+RtCLwRi0BF84GjrA9UdJawInA5+vaGEHojA+z/bSkvWguiVoCWK+YTiRJkiQtZigZODRyDhoH7Fg+H0uYMwDcZvsV228BLwPXluNPMasSu6NzqpKiW2grKaoyUypk+y/AwpKWo+2PghojgeNKm6eVNtu0UXjE9tPlddXhycSPgZGVe5gtAaeLUpIkSWsYSiPhmnPQeEkXAU/Yvk7SvJI2JTa4eLNUMbeRLNmulyx15pzJwLO2j4aZ+1o/DvxXXVz1UqGfE7tejSU2LanyMLCz7ccqbTZqo/q+Jon6dUUSdSawfIPravdS8ypGWiUr95IkSXqJoZSEmzkH/ZyY5t2uh/trJim6DzhYYUHYSOZ0CXAPcI/tN+s+2w04U2GXOA+RKKd2EMecSqKAlCglSZL0JkNeoiTp/cAk26v2Qtsjgc2Lh3Czc7YkRuH/qBy7DPip7dt7OqaukhKlJEmSrpMSpc6zDT3kzFSP7fuZtUNVM7YkRub/AJC0GLB8f0jAkC5KSZIkvUm/SsIN3JN+D/ys/Lcs4YB0vu2ziwvSCGJP52UIV6EfF8OEU4n9Ft8FDiaKpOodl44ltp+cBmwt6R4iIa4FfIfYQvJloup5ZnVS2Xv67NLmgsBuRSZ0FLAhsc46GTiQkCztaXu7Mh18L2E0sRSxZ/bawKbAOpI2KNceAPxd0jXADrZfLv2mi1KSJMkgo18lYaJSeQRt3ZOOBCaWhDMvcFtZZ4UoLhpL3MdjRNI5FzjO9g0lcS1CjDTrHZd+Boy0vbmkTxAGEq8DJwPrly0f9wX2YZbpAYSv8Xjbh0n6AnBCMWpYCxhTTBlOBHYG/l53f6/b3ljS+sChtr9Y9MvjS7y7Eo5PNRlVtXI5XZSSJEkGGf1NojSbexJtJTYzgD8BHynnX237HdvTgbckzU9ocG8o579HjGZ3JSQ921Mcl2xPBd5Q2BvuToyeVyU23biijFy3Z3bDh6ds/7m8vov40bA2cIdnLbDfwSwZUJXLy79P0NieqJGMqvpsmkmeuuKiVIurXRellCglSZL0Pv0tCTdyT6q6Ds0LfLwcg8auQ48p/ItrU7jr0Nxx6TTgEGA123cSo+HHgU2LU9EGxOi6ypKShpfXG5dYHgTWq8VNW7eiKtV4a+dWK+NqMqr9yj2PrXyWLkpJkiSDjP42Hd3IPemHwBmling+4DzbUyquRPXsAvxU0veJpPcdmjgu2b65jDpPLO9flHQ0cJOkGUSCPIRZ7k4QU9vHS1qhvN/V9mOS1iWmyt8DHiKmxdfrxD3fBhwtaVvgjzSWUUG6KCVJkgw6hrxEqatImmZ7eMdnttvGWcBhRJLf2navVGf3BClRSpIk6TqdlShlEu4iPZGEK22NIIqy1u2J9nqD2DHruHbPSUlSkiRJW1In3ITuyqBKG12RQd1r+9JyXU0GNQH4KDAeWLMUW30PONz22HLunsASto8t71OilCRJMsgYckmYbsqgbA8vSbOzMqizgEtrMqjibATwFrFV5vhSaIWkEyUtV8wXtiFkTjVSopQkSTLIGIpJeDYZlKS1iVEktmdImk0GBbwjqaEMStLLwLeBBYiK5JkyKEn1Mqj2+Dmwg6TzgXds/6su7ppECeZcolTTPLcrUSrx0lhJlSRJkvQE/U2i1Ar6WgZVpX5B/iJgK+CrwIV1n6VEKUmSZJAxFEfCfSqDquMZYC5J1xKGDb+XNAnYkxj5VkmJUpIkySAjq6O7iaQDgNPKlHVPtLcZsJXtXXuive6SEqUkSZKu022JkqQbmX269GyisvdnwHPAvmXLyCGLpKnEGnGPPAdJFxBJ/Z6eaK+7pEQpSZKk6/SERGk3Yv3z18CXyrGXiER8DmFYsD9wfPdC7TxzIC/6ILACId85jNgLehWiEvqb5ZwVgKXLOTcVY4YtCTcjCMnRFrZfKrtaHUBUQj9H7O08HPi9pNOBNWjs7LQKsTY8f2lvH+BfwJVEMdcMwjji++W6EZJeIV2UkiRJBjVNk7DtxwEkvU4kjINsnyjpg7Z/Xap0L2hNmDPpqrxoMeDzwKeAawmjhaeIwqpvlXMWIX5kCLi9SIkeIRL9IsA4YBNJ9xFrv5+x/YqkJUtl9YbA52xPL0m9kbPT2cARtidKWotYH/5maf/Tpe8lierpkemilCRJMjTosDDL9nqSDiKKeiCKggDeIPx0W0lX5UXXlmT9FJGYnoTY9YpI0ADX1dor144gRsurAH8lRpLDCPehP9h+pdZ3kxgbSZpGAsdVCr3ms/03Sd8k5npfA04zsUvsAAAgAElEQVQiZhi2LYVcDxEa4+q9p0QpSZJkENGuREnSMQpv3EVtn1m7RtKCxKhyai/HV09X5UXvVq6tvoZZLkZrlWvnAz5DjJR3sr0b8H/EiBEiKW5Qk/uUvmH2dfNGkqaHgZ0r8qKvSVoeeMD2waXPb5MuSkmSJEOKjkbCjwHrAgtLWqAUH40jnH/eR0yRtpKekBfVs6qkG4gh3yVE4dkDku4nZECvAth+RNIpwC2l738Tu1rdCPxW0nXt9LEbcGb5kTAPMcL9K3CxJJe49yeSZLooJUmSDBE6JVGStCmwTU02I2k14LWyveKApazhTrM9rhPnjgFet32vBoDxQk+REqUkSZKu0xPV0TMpeyR/QtIOti+0/dfuhzjgGANMA4ZURpo06SWkyxp+ltKkJEmS7tFuEpa0HvB3YANgErCKpI0o1To1d6C+RNLHiKnaNwn3oh0IGVFH8qTlCQMFJP0PcKLt30hak1gLnrd08a3S1k7A25I+SUiJ5pF0BrGmPINYo/0E4Yb0XOm7ZsTwPuB0YCWi0Osk25dJOq1c8xZRlHUFbWVLh9r+U+Vetyemk98hlgp2Lff71XLKo8DzxJT9YsSywZX192P7rlLgNVPKZPv6rj35JEmSpLt0NBI+AfglkayOI4qMjgFuJgqS+jwJE/s239VA1tORPOkk4H9tX1MKl+6R9EciGe5u+wFJywG3EPrfNShT12U6+sPA123/VdIviCKqF4gEuK3t5yTdXOL7IlGlvLOk9wGTJF0NbAasa/vZ0uZwZpctAaAwgdgPGF3kUD9hVvJdAlivVIcfRRTcfc62JU2svx9Ja5TrJtvevXuPP0mSJJlTOkrCqvw3E9vf6bWIuk4zWU9H8qS1CckORUP7d+C/gBVr0p1iO/gWjXU6D1Wm5Z8o57wA3G77ubrjo4ClJdWqneciEu4GwL6l2vxnTWRLNUaWa24oRWcLESPtF4HbbFc1xbd41mJ/e/dTL22iPKOUKCVJkrSAzroo9ecNppvJejqSJ1WlTQsRCfgfwL8kfaQcX46YPn6ezkmRmh2fDJxakReNJZLnjPKD5gyiUrqRbKnGw8QmIhuVNjYidryC5hIl2rmfRtcBKVFKkiRpFZ0pzOrPCRgay3o+0YnrDgJ+Jml/QiJ0RNmachfg/yTNQ/xI2aVM604AflxGswd3McZjgXGSdiWS8n3A0cBZkhYmEuM4YretetkSALYflnQ5cEcZzb4N7NGJvpvdT6cCT4lSkiRJ79GuREnSY8CfiHXN/YjR4ra2P92a8JK+JiVKSZIkXaenJEo/Kf/eVjl2+RxHlQw42pMoDUVSlpUkSU/SbhK2fXrtdTEqeNX2ub0e1QBF0jLAmUSF86LA94rs6TzaOh3dTxg7QFRz70IUdZ1LFF8tCpxh+6xK2+milCRJMsjo1GYdALb/0JuBDBJmEDrelwjd8J7Ab8pnVaejh4Av2n5U0ubAd4np/u8AjxPT/+fS1sAhXZSSJEkGGZ1OwkmnWAU4hNgXejrhvlTjJgCF/eIKwDmlOGoeQmr0AaJYayphHVm9FtJFKUmSZNCRSbhn+TZwvO0Jpcq6Sk0O9AKRaLey/aKkuYmq6IOBa2xfXHYlq2cy8KztowHK5h6PE8myQxelkog77aJEGYVLq/T36vgkSZIBSybhnuUS4LyyQUjDUWaRB+0FXFmkSHMTEqarCcnUHsyyKKySLkpJkiSDjE65KCUg6SzgsO4UMFWdmHossF4mJUpJkiRdp0ddlBLooT2WxzDAnJhaKVFK+U+SJEONIZOEyyj0O0QS/CDwMlEl/A6NHY5upa3U5wxgdcLMYjNgwdLOj4g9oNcCngW2ooFrEiEj2onixFTMHA4BvkzsSnaH7cOLAcNMFyTbx5T4h3UhzquJCuu9CTOI7Ykdtp4ux5YAfk/sLrai7dHdfsBJkiRJlxkySbiwMvBl269KOoGQEA2jscMRVFyG6rZ5XBFYD1iKsBT8pO0/l/XatYCv1LdJGDBUnZjGECPj0bbflXS5pE+V9me6IFX6PLQLcd5se39JHyYS/+jisLQfcDixvrwsMb3+dHceaJIkSTLnDLUkfLvtV8vru4BNiNFsI4cjaOIyBPzO9tvAU5Ketf3ncvwpYHGauyZVGQWsCtxcEueihHQJ2rogVc/vbJy19x8G7q44LN1OWFECPNIsAadEKUmSpDUMtSS8uqR5bL9DuBA9SOwi9ZDtCwEkrWT7XyUxNpPxdOTQNLlJm9XEOpn4UbBrOWcZwr5wzSb9NmuzUZy19w8BB1buOSVKSZIk/YihloQFXCVpcWIa+VxgXmZ3ODqwm/00ck06EKg6MX0F+LikO4n12leJXbG62mZTbD8k6Xzg1iJReoaQKC3e2RtJiVKSJEnvMWQkSmUNdk/b23XhmkNs/6TjMxv2NaCkSM1IiVKSJEnXSYlSz3AIs5ykusIYBpgUqRldlSilzChJkqTzzNXXAfRXJF0PLC7pVkkbSFpF0vWSbpF0m6S1JP23pJslzSNpWUl3StqWqEg+SNK5ksZIGl9pd3w5NkbSBElXSbpM0rBy/q2S7pK0TV08S0m6ovR/p6QNyvGpkk6RdLuktSW9Juk0SRMlLSbpqBLvHySdWmJt03crn2uSJEkyiyEzErZ9K3BrF84fK2ma7TEAkv4AHGF7oqS1gBNtf17SBYQ+d3ViuvtBSfVSpGYsT0iRXi/64NkkSKUKm9LHpbYvkbQUcCMhe4IiSSpxznRHKmvPawFjynaZJwI7A3+v9t3ZZ5IkSZL0LEMmCfcAI4HjKnrh+QBsn1/0t3fYfrDBdfWL7nNXXt9dSYLNJEj/qny+smLfaYBhCvMHaCtRqrojrV3iqsVwB/BZIgnf3SwBp0QpSZKkNWQS7jwPAzvbfgxmuhghaR/gWmCdshPW3bRNvM9TLAclLQZ8htj5CtrKhBpKkOo+P9327ZXP320gUaq+fhDYVdIpJRGnRClJkqQfkUm4fe6XdB1wMbAbcKakeYnndpakZYHNiW0slwSukfRFZpci/V3SBMJacEqTvjqSIB0EnCHpB8Ro+lrghPaCt329pHWB2yS9R+iGzyV2++oUKVFKkiTpPYaMRKmvkLQpsJ3tndQDTkytJiVKSZIkXSclSv2QHnJiaimtdFHqS1JalSRJX5ASpS7QQFa0uqQbivznPkmfLOd9RdI9km4gHIxq10+VtECRDe1ZOT6t/LujpD8XSdFpdX2nRClJkmSQkSPhrlOVFS1PWBvOIKqJd5Q0hbA3/LjtVyR9n3Bd6gyfBY6xfYWkleo+S4lSkiTJICNHwl2nKu35COHfexCR1IYBqwEP236lnDOxQRvNZEt7AitKOpWwXawyCthH4R98GXMuUaol7nYlSpLulXRvbGmdJEmS9AY5Eu46VWnPccBY20+XqmWAp4G1JQ2z/SYwukEbVdnSJ5klxl3O9kmS5gL+KemjFevFlCglSZIMMgZNElY4I50HzGd70xZ1ewHwB0lPAv8AsP2kpNOBCZJeAF4mLAqrXEK4Od1EjJRro+b9JH2MkChdV0nAkBKlJEmSQcegkSiVXauG2z6ym+3sBFxr+/l2zrmV2KKyoeZX0nGEHvgm4BDbB3Qnps4iaRNgZdtn9lSbKVFKkiTpOkNRorQ4s7Z47A47EaPTpkm4s9h+EmhJAi793djTbTaTKKWkJ0mSpPv0ShIupgXfAl4nCozOJ9Y91yOKksYC04np1E+WOC62faqkLZmVuOYGtrD9kqSXgTPL+e8Dvmz76dJfzbnobUkrE1tMfrW08SjwK+AHRCHagsTmGY9K2gj4PvAu8AbwN6Jw6QJJFwG/A04G5gcWAfYq21I2uudjgY2AF0rcU8rWluNtryvpvNLH6sDS5R4PAD5Qzjle0irAaaW/uYF9bE9udO/l80tK7P8hirpGA6vbPrw8x4OIyu1Xgb1tP9Pec0ySJElaS2+OhFcjqnOnA88CO9o+UtKFwMbAEsCCttcvhUh3SroKeKR8vggwDtgEuLS8v972YZK+A/wPcCJAke1UnYt2Ku2vZ3tGScybEaYLRwFbSxoHnA2sb/spSe8H3gI+RplqbiRBAmZLwpI+C3yU2BdahHyoEe/Y3ljS14nCp48B7xDryceXeNo4NQGfb3Lv9wP/BrYEFir3VotnCaJobFSRUm1B+CJ/vb3nmCRJkrSW3kzCt9VkOmX0dW05/hQxdTwK+ExZXwV4P1ExvAGwCvBXYkQ4rHz+QrEjBHiCSPId9T+jvB5NJPaHgUWJkeGqhGHCUwC2XyuxVtv4CPCNct0ilVjqWQe4yfZ7pY0/NTnvN+Xfp4AJtcKr8iMEmjg10eDebd8saR5ipP4kcEqln1UIW8SaBOl2QrvcsK36IJUuSkmSJC2hN5Pwu9U3tqvvRUhunrV9NMx0JXoFONf2aiXBVKuc36lrX7RPVYLzI2La9z2iOhhi9LmWpGVsPytpYeBt2mp4G0mQGvEEMSI9ucT9aWJEX8+7TV7XaOjURIN7L5/dYvt3ZSp8N+DN8vk/gdUlLVQScVWa1OFzTIlSkiRJa+jLwqyfE0nrdiIhPQN8DXhA0v3lfU/tFDEeeIDQ8E4DsP2ypP2BX0t6u/T1deBm4BeS7qCBBKkJlwNfkHQ3sQ4+o51z22M2pyZgapNz1wQuKrHPReyENbrc2wuSjgCuL5+/DuzVpJ12SYlSkiRJ7zFoJEpJ75ASpSRJkq4zFCVKSQVJh9j+SXfbmRMXpZQvJUmSdI7cO3rwckhfB5AkSZK0z6BOwsWy78Zi2fcXSQdJ+qGkPxZ7v2GS5pL0E4UV4F2Svlmu3VLSreW/2yUtVo6/LOn4cvxuSctV+ptLYTc4ofTxBUnjio65ds4ESSsoLAiPKXHcKmlTSTdLeqjol+nkOZ8r8f2h3OfCkq4HFi/XbCDpPEkXSLpJ0rfK57V49pT0rRb9SZIkSZIKgzoJF1YjNvL4BPBdwj1oNLG71saEBGlB2+sTOt+vSfoAs/TKWxFFYpuU9mo62zGE7Op/Kn0tRGh/PwuMISrAzyD0xUhaEXjD9hPl/Em2NyCsBXcu1+0H7FNps+k5paL7ZGBL2xsSRWX72B4LvGh7jO3bSjvP2/6s7WOBpSo/HrYBLqw+MKWLUpIkSUsYCmvCLdMr235V0ubA9wip08m2/1JGp8sB2xK7h9Wo6oYnFs/fWlydOWdVQsh7RdEWLwBMaPIcqnaHPwd2kHQ+sYFIm+0+U6KUJEnSGoZCEm6ZXlnSksDTZTeqTYCfEttn/hzYgdiu8wtNYqmPqzPnPAo8Dmxqe7qk+WmbwKtUddMXEaPm/1A3Cq4nJUpJkiS9x1BIwh3Rk3rlRYBxkuYjRs9Hl+OXAPcA9xSP4R7B9ouSjgZukjSDGH0fUmK+X9J1wMUNrntd0iRiv+kOS+iTJEmS3iF1wi1CofP5qe3be6Hts4DDbL/U5PMRxD7Sl1eObQZsZXvX9ttexbFxWJIknSElegl0Xic8FAqz+pxSWb18byRgANu7N0vAhRHA1nXHtiXclJIkSZI+os+no9Vi28PSZ72F4bbElpXbE/tHPw3sTTgx/Ra4iyiCepdwY/oPcAxRPf0f4PfAVdTZHgKvEVPRbwH7SzoAmBc4j3CIWqycf2SlihmF7eFrRGHYcsA5tn8qaT1iitulzQOL29NUwiJxO2CL8oyWJYq0flbiWq4Un+1PrAdPB0ZIOs72dR3+oZIkSZIep8+TcKFltodF1lNvYbgKIWMaXawP9wMOJ9aLVwa+UpLdL4gfBe8nRpeftv1eKcianzrbQ9t7S5oG7Gb7cUknE9aEJwGXFgvGpQjrw5F1z2SG7S9IGkasT19GmE+MLr7AHyn3sV7ddasSPz7eJPyRjyZ+qOxpe7ty/68Ca5Xn/YH6P4bSRSlJkqQl9Jck3Erbw9ksDCWtRuiHa8YLtxMjXcq5UyptLUn8YLiyZl1o+3lJY2lse3g6sJuk3wH3l2KqUcDKkmqmCsMkzV1XCX1taftNSQ8BKxAa42fK8QckrdTgWd5g+43yLJ8ifsDMpJGMqr6BlCglSZK0hv6ShFtpe9jIwvAh4EBJ89h+h46t/x4ENpd0ZdHtLk1z28NrgEOJHwvHl2OTgdNra8SSVqq7Z4iR6i0lvg+XuBeUtGxlJDyV2WkU78xE2o6MqiEpUUqSJOk9+ksS7ogekxG1Y2F4PnBrOfYMsabbTHN7NmElOFHSm8R0ckPbQ9vvSvo1sJntv5TDBwFnlGQ9NzHqPaGuj9GlgnlJ4Kgygt4Z+JWk94hku1tn7hmYAqwh6RrgKOC4BjKqJEmSpMWkRKkfUgqzxtu+oRtt7AC8avtqSTsB19p+vuvtpERpoJJSmSTpOzorURooI+Gki9iu7oS1EzAR6HISTpIkSXqPIZGEB6AM6snSxrF0Tgb1Y9ublWtqMqgFgWnAikTl9QWSLgL+H/C5sna9CHCn7bW69YCTJEmSOWIobdbRMjeligxqu/L5dsySQW1ke2PgT4QMCuKHwU9KPI8CvwaGM0sGtSGxLv5aaWtzYs/nHW0/DMxXHJogEv0varHYPoIoMvuG7VNKXDuUj7cExtc/qHRRSpIkaQ1DYiRcGGoyqGbP4Txis47jCRvDvetPSIlSkiRJaxhKSXioyaDa3G7lvl+W9EBJ6HPV2xgmSZIkrWMoJeGOGGwyqCo3A7+QdIftw4AzgCuZNR3elNQJJ0mS9B4pURoAlMKy123f24Nt/hNYuyNrxZ6UKKVkJkmSoUK6KA0uxtCDvr+lcvt3PeltnCRJknSdfj8dPQDkRVcR68lrEMVWU4EvExKhLYhirmsIR6NVSxfbE+vAZxIFVosC37P9m7If9KnAwqX/G4iq6rclfbLE1cjZqdkzOIKwMXyjtLUiUen9mKQ/AumilCRJ0kf0+yRc6M8uSx8CvmT7X5KmEHtCj5F0NJH8riES31jbT0ram/hR8W1iTfglQnK0J/AbwinpONs3lHtZhPihMM32uFIw1szZqdEz+AKwu+1JJcG/UJ7DGNJFKUmSpE8ZKEm4P8uL7q9UGE8DaqPKp4BlKuc8WV7fRSTdVYBDSmzTK7GtXtuussiTXmogN2omaWr0DLYE9pL0DeAC24+li1KSJEn/YKAk4f4sL6p3P6qPDWCEpAWLxeDGhPzo28DxtidI2qVyzWOSNrT9hzKiXYyKxKid+Bs9gyeAEbaPkbQQMEXSSLrgopQkSZL0HgMlCXdEf5MX1fMWcL6kpUp7OwGfB85TeP4+UDl3F+Cnkr5PJNv/JdaTf1y0vQc36aPRM9ge+KGkZYH5CGnSIsC4zroopUQpSZKk90iJUi9TRqTjba/biXMXBba2fXZ5fyuwZ2XqueV0V6KUsqQkSYYiKVEamCxK5z2CkyRJkgHOgJyObrVsqazNXgYsS0wRH0fs39yuPMn2M6WvNSX9oZx7ILGGe0q5bi7gJmJtdnw591ZgjxLjNpI2LPd3gO1bJE0lDBw+Q6wZ72B7sqTtiWnyd4DHgF2BzwI/Ks9qGiG3OpyKbMn2D7v+V0iSJEm6y0AeCbfMFQlYCPgYkdDGEMkUQp70rTLlMBZ4r1x/A7B1WcP9ALBIcUJ6G9iZGO3+pxwbA3y03Md2wMO2x9j+a+ljLtsbAfsQCbzGP8vxk4A9JH0I2A/Y2PYGhHfwV4kfJheVZ/O/5dqabGk08Kv6B5suSkmSJK1hICfh22y/YvstoCPZ0i3MkuxsRYx4d6V92dJMgaztVwlZ0feAHxLJFNqXJy1OyIbu8KyF9zsIb9+1iZEz5bM7y/FGXNEoJuDyuuMjCfvDG8o9jyFG7t8HXpN0KvCJ0t+WwFhJp9CguMz2WbZHxY+LhZuElSRJknSXATkdXWiZbEnSkswu6zm0PgZmlyc9COwq6ZSS/GrSpnmA0UQFtoiR+pnMLkWqj0vtHH+YGOWPtf1ekVbNC6xUdL9IulPSw8D0qmyJBht2JEmSJL3PQE7CHdFjsiW6KOupYft6SesCt0l6j9Abn0tZEy4j1rmBm2zfWNqfS9K1RKLvNLYflnQ5cIekt4jR+h7EtPgXiaT9FKGDvqBOttSUlCglSZL0HilRStqlJ12UkjkjZV5JMvBIiVKSJEmS9HMG83R0S+gjl6fvAhsRU+MP2961xPFDwuDiHWBH4HRgpXLeSbYvK+YMXyv9vVLaru2JnSRJkrSQHAn3DK2US0FUTG8EfAXYWNLS5fjyhGZ4G6JwbEppYyPg+2XN+Q5gw3LtYoT0qg0pUUqSJGkNORLuGVrm8iRpAWL0/CbwKG0dmO62/Xp5PQpYumiVIX5wLUtIsxYA/kmM1GvXziRdlJIkSVpDJuGeoZUuT2OjC+8vaRnCjanGe5XXkwnLwwtLnytRtMu2PydpQXKLzCRJkj4lk3Br6Em51ETgSEkTCbnRM03OO5aQVe1KJPH7iIQ9T0wz8ySxftwuKVFKkiTpPVKi1I+QtAPwqu2ru9FGGyem7seUEqWBQkqZkqT/kBKlAYjtC7uTgAvpxJQkSTJAGNTT0X0kH5pa+vkUsARwkO3bmjgc7UCYLEAUWT0PTLM9TtI04FKiwOppwsVpj9Lm15u4Ju3P7E5MCwE/Ln3MAHYhtrP8PXA3sGKp5E6SJElazFAYCbdaPgQwyfbnSts/a8fhCCKpfsn2vnVtLA2cb/vTpc9RxTXpp8DOTdr8ArM7MV0A7FauPbU8A4hK6cMaJeCUKCVJkrSGQT0SLrRMPlThWgDbD0lanLYORxCj06eBF0t8jTbLeMr2pEqsN1Rer9dOmzMpxhMrAOeUc+apnPNIdQRfJSVKSZIkrWEoJOFWyodqrEVUPo8iRtzNHI6+SFtZUdO4md2hqVmbC1XOewGYCmxl+0VJcxMbeszVTr9JkiRJixgKSbgjelI+VGNfSasQa8Z7teNwNMe00+bTtHVi2gu4UpKJte1jidF9p0iJUpIkSe+REqUephRmrW57eifP3xKYbPsfXeynR6VIzfvpO4lSSm6SJBmopERp4LAl8KE5uC6lSEmSJAOcTMIVJI2RdKOkqyT9RdJBkn4o6Y+SbpM0TNJckn4i6XZJd0n6Zrl2y1LcNRy4SdJi5fjLko6XdKukuyUtV+lvf2K9+QRJP2rUtqR5Jd0saZ1yzfmSvkRFiiRpNUlTy77SSNpU0nnl9VRJp5Q215a0vaQ7y/2cV9aJkyRJkj4gk/DsdFfStByxLtuhpMn2KUTV86G2j2jUNrAM8HVi3fp/gcfLhh71UqT2uLm0+R+aS6VmkhKlJEmS1pCFWbPTF5KmGg3btj1B0mXAd4APNLm2urhfP7q9qfzboawJUqKUJEnSKjIJz06rJU3VJNeo7cclfRDYmkjCxwMH1l0HMar9IPA3YPO6z2pypGaypiRJkqQPyCTcdXpa0nQbcLSkbYlCq/q2dwIuZJbU6WxJXwMup60U6VjgMklPEYn4ffUdtSNreqFZcClRSpIk6T1SojRIkDTN9vCecGJq2+7gcFFKuVOSJK2ksxKlHAkPMmxf2NcxJEmSJJ0jk3AH9KET09XAOsDewD7AqkSl9bW2vydpeeAXxJruP8u/SDoKmEZUXY+3vW45fhwwBbgZuISY7v4PsKftR3vsgSVJkiSdJiVKnaMvnJhutr2+7QcJ96NNgG2AmtvS8cA5tjcmfgAs0sl7WRX4NzAa+ApRVNaGlCglSZK0hhwJd46+kC3dVPpbEjgceJYwY6hVOq9DSci2/yGpvriqfrF/7nLuzaWC+2TgSeCU+o5TopQkSdIaciTcOTojW7qsbJwxhpAIPQLsZHs34P9o627UGSemWrLdgbAdPAS4kVkj3ieATwFIWgNYqu76F4Flyy5c8wOfLeeOAG6xvT+59WWSJEmfkiPhnqE3nJhq3Aj8StJmwJ+Bl8vxQ4GzJB1GJOQ3qhfZfk3SL4G7iWnzv5eP1gQukvQ28SNs5/Y6T4lSkiRJ75ESpaRdRo0a5Xvvvbevw0iSJBlQpItSkiRJkvRzMgknSZIkSR+R09FJu0h6jaju7q8sSeyb3V/J+Oac/hwbZHzdZbDHt6Lt+oLZ2cjCrKQj/tqZdY2+QtK9Gd+c05/j68+xQcbXXTK+IKejkyRJkqSPyCScJEmSJH1EJuGkI87q6wA6IOPrHv05vv4cG2R83SXjIwuzkiRJkqTPyJFwkiRJkvQRmYSHOJL2lXSXpImStm3w+bGSJpRzxpRj80o6S9Ltkv4oaa1+FNvKkq6UdGtxguq1PTfnJL7KZ0tJekbSTv0tPkmbSPpT+fue3Z/ik/Rfkm4pf98/Sdqqj2L7uKRHikVo7VhLvhfdiK8/fTdmi6/yWX/4bjSMr1e+G7bzvyH6H+HwdB8wH+H89AiwWOXzjYDfltfLEX7E8wC7AD8rx0cCE/pRbOsS+jyA5YEp/enZVT6/mLCo3Kk/xQf8F3ArsEj5bJ5+Ft8lwDbl+DLA05RltVbFVs7ZE9gPOK5yrNe/F92Mr198N5rFV/msT78b7Ty/Xvlu5Eh4aLMR8Bvbb9t+Dfgj8OnK5xsDlwHYfhp4nLBd3Bi4tBy/H1hC0oL9ITbbE20/Xs5ZjlnGFT3NnD47JG0NPApM6qXYuhPfHsCdwGWSbiP8sftTfNOITRQgXMCed/l/xBbGhu1xzG7K0orvxRzH14++G82eX3/5bjSLr1e+G5mEhzb1O8I8T1tLxGafd3RdX8YGgKThhGfy3j0cV7fiU/hD7wH8oJfi6lZ8wOrAYsDngV2BcyXN3Y/iOxLYXtJDhOf2Tn0QW09f11W61U8/+G40i6u/fDea0SvfjUzCQ5uXmOVPTHn9Uic+7+i6vowNScsC44H/Z/uJHo6ru/H9H3Co7bd7Ka7uxvcucLGDfwD/JkZN/SW+s4GTbX8Y+DhwTvk/71bG1tPXdZU57qeffDea0V++G83ole9GJuGhzR3AFyTNLel9wPdaHY8AAAQISURBVBjgXkkLVz7fAmb+Sl2N2Ee6enw1YIbtV/pDbJI+AFwO7GP74R6OqdvxlX8PkzSeWHPaq0zB9Zf47iCmVZG0DDFCeLofxbca8Fg558Xy77Itjq2963r7ezHH8fWj70Yz+st3o73revy7kXtHD2FsT5Z0LTABMHAS8T/IbYn/M7kO+JykCcQPtv1tT5f0C+BsSbeX47v3o9hOAoYDp0uqNbex7Xf7Q3zAJ2ptSDoKmGr78p6MrTvxSfopMc02EXgP2K2nn10349uf+NtOBxYGrrL9YItja0avfy+6GV9/+W40u66/fDea0SvfjdysI0mSJEn6iJyOTpIkSZI+IpNwkiRJkvQRmYSTJEmSpI/IJJwkSZIkfUQm4SRJkiTpIzIJJ0mSJEkfkUk4SZJ+iaQRkm7q6ziSpDfJzTqSJOlVJO0LHEKYL1Q51PYfK+ftBqxk+1sdtLctcGB5a2LHrGeBT9c2T1DsRnE48OVy3lvAj23/ptLOycBmQP2uVl+0/Uzn7zBJ5pxMwkmStIJ7CRu4KvUuPusCrwFIupOwmXuuviHblwCXSFoe2AvYCtiibvei3YAPEYn5HUmLA7+T9Hfbj1TOO9D2tXN+W0nSPTIJJ0nSCtYhtkys8jxhJoCksYCANyQdDIwGViAMG2ZSXGtOIJxwXgQuIvaUHifpTcKY4E1gFHCp7XcAbL9YprY/SvjHJkm/ILetTJKk15C0ETCsnVNeBT4GjAT2Af5DGKovRPgJn237s5X29iUS8DsN2prv/7d3/6xRBVEcht8jiIVCKhtRMATEwlbrCCIKWqSw0iLkIwSxsjIWgpWVICJWogiaxlZsxF7SiqKSRougWAQhP4u5K+uyCupubor3KefO3D/V4Zy5MwN8THKnqs4AV7p7vacF5dvA6UGp+Q/l6MUka3/5qdI/MQhLmpqqWqIdtPA7n4HHSTbHjJ0BziZ5ONQ2B+we6vaCtvn+wGaSt13f1a5tBvgOPE9yY8xzDgP3k8yPXpOmzXK0pKlJcq8rL18Yc/lqkp9/P1fVIi1zDW3lxgdgeeR+b6pqH+3s2RO0OeNHwCtguStFDxwETiXZqKp54NKkvkuaFDNhSduuqq4Da4Mst6qO0uZ3Tyb50rUtAEtJzo+MvUYrV19OslVVu4CbwEaSlap6Svtjeo529vAWsJeWEa8Dz2hl6IE9Xd/hM3bvJvllPlqaBjNhSTvBV9rc8ZGqek0LmseAT2P6vgPOAYeqah04AMwCqwBJFsaMGbUygXeW/puZsKQdoaqO05YczQLfgJfArZES86DvRdoa4P20QP0kyYNtfF1pIgzCkiT1xG0rJUnqiUFYkqSeGIQlSeqJQViSpJ4YhCVJ6olBWJKknvwAGzTHTFTW+A4AAAAASUVORK5CYII=\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_feature_importances_cancer(forest)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### 장단점과 파라미터" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 그래디언트 부스팅 회귀 트리" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 1.000\n", "테스트 세트 정확도: 0.958\n" ] } ], "source": [ "from sklearn.ensemble import GradientBoostingClassifier\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, random_state=0)\n", "\n", "gbrt = GradientBoostingClassifier(random_state=0)\n", "gbrt.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(gbrt.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(gbrt.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.991\n", "테스트 세트 정확도: 0.972\n" ] } ], "source": [ "gbrt = GradientBoostingClassifier(random_state=0, max_depth=1)\n", "gbrt.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(gbrt.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(gbrt.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.988\n", "테스트 세트 정확도: 0.965\n" ] } ], "source": [ "gbrt = GradientBoostingClassifier(random_state=0, learning_rate=0.01)\n", "gbrt.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(gbrt.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(gbrt.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "gbrt = GradientBoostingClassifier(random_state=0, max_depth=1)\n", "gbrt.fit(X_train, y_train)\n", "\n", "plot_feature_importances_cancer(gbrt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### 장단점과 파라미터" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 커널 서포트 벡터 머신\n", "#### 선형 모델과 비선형 특성" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "X, y = make_blobs(centers=4, random_state=8)\n", "y = y % 2\n", "\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 78, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.svm import LinearSVC\n", "linear_svm = LinearSVC(max_iter=10000).fit(X, y)\n", "\n", "mglearn.plots.plot_2d_separator(linear_svm, X)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 두 번째 특성을 제곱하여 추가합니다\n", "X_new = np.hstack([X, X[:, 1:] ** 2])\n", "\n", "from mpl_toolkits.mplot3d import Axes3D, axes3d\n", "figure = plt.figure()\n", "# 3차원 그래프\n", "ax = Axes3D(figure, elev=-152, azim=-26)\n", "# y == 0 인 포인트를 먼저 그리고 그 다음 y == 1 인 포인트를 그립니다\n", "mask = y == 0\n", "ax.scatter(X_new[mask, 0], X_new[mask, 1], X_new[mask, 2], c='b',\n", " cmap=mglearn.cm2, s=60, edgecolor='k')\n", "ax.scatter(X_new[~mask, 0], X_new[~mask, 1], X_new[~mask, 2], c='r', marker='^',\n", " cmap=mglearn.cm2, s=60, edgecolor='k')\n", "ax.set_xlabel(\"특성0\")\n", "ax.set_ylabel(\"특성1\")\n", "ax.set_zlabel(\"특성1 ** 2\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, '특성1 ** 2')" ] }, "execution_count": 80, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "linear_svm_3d = LinearSVC(max_iter=10000).fit(X_new, y)\n", "coef, intercept = linear_svm_3d.coef_.ravel(), linear_svm_3d.intercept_\n", "\n", "# 선형 결정 경계 그리기\n", "figure = plt.figure()\n", "ax = Axes3D(figure, elev=-152, azim=-26)\n", "xx = np.linspace(X_new[:, 0].min() - 2, X_new[:, 0].max() + 2, 50)\n", "yy = np.linspace(X_new[:, 1].min() - 2, X_new[:, 1].max() + 2, 50)\n", "\n", "XX, YY = np.meshgrid(xx, yy)\n", "ZZ = (coef[0] * XX + coef[1] * YY + intercept) / -coef[2]\n", "ax.plot_surface(XX, YY, ZZ, rstride=8, cstride=8, alpha=0.3)\n", "ax.scatter(X_new[mask, 0], X_new[mask, 1], X_new[mask, 2], c='b',\n", " cmap=mglearn.cm2, s=60, edgecolor='k')\n", "ax.scatter(X_new[~mask, 0], X_new[~mask, 1], X_new[~mask, 2], c='r', marker='^',\n", " cmap=mglearn.cm2, s=60, edgecolor='k')\n", "\n", "ax.set_xlabel(\"특성0\")\n", "ax.set_ylabel(\"특성1\")\n", "ax.set_zlabel(\"특성1 ** 2\")" ] }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ZZ = YY ** 2\n", "dec = linear_svm_3d.decision_function(np.c_[XX.ravel(), YY.ravel(), ZZ.ravel()])\n", "plt.contourf(XX, YY, dec.reshape(XX.shape), levels=[dec.min(), 0, dec.max()],\n", " cmap=mglearn.cm2, alpha=0.5)\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 커널 기법\n", "#### SVM 이해하기\n", "\\begin{align*}\n", "\\end{align*}" ] }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.svm import SVC\n", "\n", "X, y = mglearn.tools.make_handcrafted_dataset() \n", "svm = SVC(kernel='rbf', C=10, gamma=0.1).fit(X, y) \n", "mglearn.plots.plot_2d_separator(svm, X, eps=.5)\n", "# 데이터 포인트 그리기\n", "mglearn.discrete_scatter(X[:, 0], X[:, 1], y)\n", "# 서포트 벡터\n", "sv = svm.support_vectors_\n", "# dual_coef_ 의 부호에 의해 서포트 벡터의 클래스 레이블이 결정됩니다\n", "sv_labels = svm.dual_coef_.ravel() > 0\n", "mglearn.discrete_scatter(sv[:, 0], sv[:, 1], sv_labels, s=15, markeredgewidth=3)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### SVM 파라미터 튜닝" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "hide_input": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 3, figsize=(15, 10))\n", "\n", "for ax, C in zip(axes, [-1, 0, 3]):\n", " for a, gamma in zip(ax, range(-1, 2)):\n", " mglearn.plots.plot_svm(log_C=C, log_gamma=gamma, ax=a)\n", " \n", "axes[0, 0].legend([\"클래스 0\", \"클래스 1\", \"클래스 0 서포트 벡터\", \"클래스 1 서포트 벡터\"],\n", " ncol=4, loc=(.9, 1.2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "사이킷런 0.20 버전에서 `SVC` 클래스의 `gamma` 매개변수 옵션에 `auto`외에 `scale`이 추가되었습니다. `auto`는 `1/n_features`, 즉 특성 개수의 역수입니다. `scale`은 `1/(n_features * X.std())`로 스케일 조정이 되지 않은 특성에서 더 좋은 결과를 만듭니다. 사이킷런 0.22 버전부터는 `gamma` 매개변수의 기본값이 `auto`에서 `scale`로 변경됩니다. 서포트 벡터 머신을 사용하기 전에 특성을 표준화 전처리하면 `scale`과 `auto`는 차이가 없습니다. 경고를 피하기 위해 명시적으로 `auto` 옵션을 지정합니다." ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "scrolled": true, "uuid": "19dca39b-9061-4fc6-9aab-f759854ec208" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 1.00\n", "테스트 세트 정확도: 0.63\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, random_state=0)\n", "\n", "svc = SVC(gamma='auto')\n", "svc.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.2f}\".format(svc.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.2f}\".format(svc.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 크기')" ] }, "execution_count": 85, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.boxplot(X_train, manage_xticks=False)\n", "plt.yscale(\"symlog\")\n", "plt.xlabel(\"특성 목록\")\n", "plt.ylabel(\"특성 크기\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### SVM 을 위한 데이터 전처리" ] }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "특성별 최솟값\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.\n", " 0. 0. 0. 0. 0. 0.]\n", "특성별 최댓값\n", " [1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.\n", " 1. 1. 1. 1. 1. 1.]\n" ] } ], "source": [ "# 훈련 세트에서 특성별 최솟값 계산\n", "min_on_training = X_train.min(axis=0)\n", "# 훈련 세트에서 특성별 (최댓값 - 최솟값) 범위 계산\n", "range_on_training = (X_train - min_on_training).max(axis=0)\n", "\n", "# 훈련 데이터에 최솟값을 빼고 범위로 나누면\n", "# 각 특성에 대해 최솟값은 0 최댓값은 1 임\n", "X_train_scaled = (X_train - min_on_training) / range_on_training\n", "print(\"특성별 최솟값\\n{}\".format(X_train_scaled.min(axis=0)))\n", "print(\"특성별 최댓값\\n {}\".format(X_train_scaled.max(axis=0)))" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [], "source": [ "# 테스트 세트에도 같은 작업을 적용하지만\n", "# 훈련 세트에서 계산한 최솟값과 범위를 사용합니다(자세한 내용은 3장에 있습니다)\n", "X_test_scaled = (X_test - min_on_training) / range_on_training" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.948\n", "테스트 세트 정확도: 0.951\n" ] } ], "source": [ "svc = SVC(gamma='auto')\n", "svc.fit(X_train_scaled, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(svc.score(X_train_scaled, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(svc.score(X_test_scaled, y_test)))" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.988\n", "테스트 세트 정확도: 0.972\n" ] } ], "source": [ "svc = SVC(gamma='auto', C=1000)\n", "svc.fit(X_train_scaled, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(svc.score(X_train_scaled, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(svc.score(X_test_scaled, y_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라미터" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 신경망 (딥러닝)\n", "#### 신경망 모델" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster_0\n", "\n", "입력\n", "\n", "\n", "cluster_2\n", "\n", "출력\n", "\n", "\n", "\n", "x[0]\n", "\n", "x[0]\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "\n", "\n", "\n", "x[0]->y\n", "\n", "\n", "w[0]\n", "\n", "\n", "\n", "x[1]\n", "\n", "x[1]\n", "\n", "\n", "\n", "x[1]->y\n", "\n", "\n", "w[1]\n", "\n", "\n", "\n", "x[2]\n", "\n", "x[2]\n", "\n", "\n", "\n", "x[2]->y\n", "\n", "\n", "w[2]\n", "\n", "\n", "\n", "x[3]\n", "\n", "x[3]\n", "\n", "\n", "\n", "x[3]->y\n", "\n", "\n", "w[3]\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mglearn.plots.plot_logistic_regression_graph()" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster_0\n", "\n", "입력\n", "\n", "\n", "cluster_1\n", "\n", "은닉층\n", "\n", "\n", "cluster_2\n", "\n", "출력\n", "\n", "\n", "\n", "x[0]\n", "\n", "x[0]\n", "\n", "\n", "\n", "h0\n", "\n", "h[0]\n", "\n", "\n", "\n", "x[0]->h0\n", "\n", "\n", "\n", "\n", "\n", "h1\n", "\n", "h[1]\n", "\n", "\n", "\n", "x[0]->h1\n", "\n", "\n", "\n", "\n", "\n", "h2\n", "\n", "h[2]\n", "\n", "\n", "\n", "x[0]->h2\n", "\n", "\n", "\n", "\n", "\n", "x[1]\n", "\n", "x[1]\n", "\n", "\n", "\n", "x[1]->h0\n", "\n", "\n", "\n", "\n", "\n", "x[1]->h1\n", "\n", "\n", "\n", "\n", "\n", "x[1]->h2\n", "\n", "\n", "\n", "\n", "\n", "x[2]\n", "\n", "x[2]\n", "\n", "\n", "\n", "x[2]->h0\n", "\n", "\n", "\n", "\n", "\n", "x[2]->h1\n", "\n", "\n", "\n", "\n", "\n", "x[2]->h2\n", "\n", "\n", "\n", "\n", "\n", "x[3]\n", "\n", "x[3]\n", "\n", "\n", "\n", "x[3]->h0\n", "\n", "\n", "\n", "\n", "\n", "x[3]->h1\n", "\n", "\n", "\n", "\n", "\n", "x[3]->h2\n", "\n", "\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "\n", "\n", "\n", "h0->y\n", "\n", "\n", "\n", "\n", "\n", "h1->y\n", "\n", "\n", "\n", "\n", "\n", "h2->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mglearn.plots.plot_single_hidden_layer_graph()" ] }, { "cell_type": "code", "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'relu(x), tanh(x)')" ] }, "execution_count": 92, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "line = np.linspace(-3, 3, 100)\n", "plt.plot(line, np.tanh(line), label=\"tanh\")\n", "plt.plot(line, np.maximum(line, 0), linestyle='--', label=\"relu\")\n", "plt.legend(loc=\"best\")\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"relu(x), tanh(x)\")" ] }, { "cell_type": "code", "execution_count": 93, "metadata": { "hide_input": false }, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "%3\n", "\n", "\n", "cluster_0\n", "\n", "입력\n", "\n", "\n", "cluster_1\n", "\n", "은닉층 1\n", "\n", "\n", "cluster_2\n", "\n", "은닉층 2\n", "\n", "\n", "cluster_3\n", "\n", "출력\n", "\n", "\n", "\n", "x[0]\n", "\n", "x[0]\n", "\n", "\n", "\n", "h1[0]\n", "\n", "h1[0]\n", "\n", "\n", "\n", "x[0]->h1[0]\n", "\n", "\n", "\n", "\n", "\n", "h1[1]\n", "\n", "h1[1]\n", "\n", "\n", "\n", "x[0]->h1[1]\n", "\n", "\n", "\n", "\n", "\n", "h1[2]\n", "\n", "h1[2]\n", "\n", "\n", "\n", "x[0]->h1[2]\n", "\n", "\n", "\n", "\n", "\n", "x[1]\n", "\n", "x[1]\n", "\n", "\n", "\n", "x[1]->h1[0]\n", "\n", "\n", "\n", "\n", "\n", "x[1]->h1[1]\n", "\n", "\n", "\n", "\n", "\n", "x[1]->h1[2]\n", "\n", "\n", "\n", "\n", "\n", "x[2]\n", "\n", "x[2]\n", "\n", "\n", "\n", "x[2]->h1[0]\n", "\n", "\n", "\n", "\n", "\n", "x[2]->h1[1]\n", "\n", "\n", "\n", "\n", "\n", "x[2]->h1[2]\n", "\n", "\n", "\n", "\n", "\n", "x[3]\n", "\n", "x[3]\n", "\n", "\n", "\n", "x[3]->h1[0]\n", "\n", "\n", "\n", "\n", "\n", "x[3]->h1[1]\n", "\n", "\n", "\n", "\n", "\n", "x[3]->h1[2]\n", "\n", "\n", "\n", "\n", "\n", "h2[0]\n", "\n", "h2[0]\n", "\n", "\n", "\n", "h1[0]->h2[0]\n", "\n", "\n", "\n", "\n", "\n", "h2[1]\n", "\n", "h2[1]\n", "\n", "\n", "\n", "h1[0]->h2[1]\n", "\n", "\n", "\n", "\n", "\n", "h2[2]\n", "\n", "h2[2]\n", "\n", "\n", "\n", "h1[0]->h2[2]\n", "\n", "\n", "\n", "\n", "\n", "h1[1]->h2[0]\n", "\n", "\n", "\n", "\n", "\n", "h1[1]->h2[1]\n", "\n", "\n", "\n", "\n", "\n", "h1[1]->h2[2]\n", "\n", "\n", "\n", "\n", "\n", "h1[2]->h2[0]\n", "\n", "\n", "\n", "\n", "\n", "h1[2]->h2[1]\n", "\n", "\n", "\n", "\n", "\n", "h1[2]->h2[2]\n", "\n", "\n", "\n", "\n", "\n", "y\n", "\n", "y\n", "\n", "\n", "\n", "h2[0]->y\n", "\n", "\n", "\n", "\n", "\n", "h2[1]->y\n", "\n", "\n", "\n", "\n", "\n", "h2[2]->y\n", "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mglearn.plots.plot_two_hidden_layer_graph()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 신경망 튜닝" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sklearn.neural_network import MLPClassifier\n", "from sklearn.datasets import make_moons\n", "\n", "X, y = make_moons(n_samples=100, noise=0.25, random_state=3)\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, stratify=y,\n", " random_state=42)\n", "\n", "mlp = MLPClassifier(solver='lbfgs', random_state=0).fit(X_train, y_train)\n", "mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3)\n", "mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mlp = MLPClassifier(solver='lbfgs', random_state=0, hidden_layer_sizes=[10])\n", "mlp.fit(X_train, y_train)\n", "mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3)\n", "mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 96, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 96, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 10개의 유닛으로 된 두 개의 은닉층\n", "mlp = MLPClassifier(solver='lbfgs', random_state=0,\n", " hidden_layer_sizes=[10, 10])\n", "mlp.fit(X_train, y_train)\n", "mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3)\n", "mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '특성 1')" ] }, "execution_count": 97, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# tanh 활성화 함수가 적용된 10개의 유닛으로 된 두 개의 은닉층\n", "mlp = MLPClassifier(solver='lbfgs', activation='tanh',\n", " random_state=0, hidden_layer_sizes=[10, 10])\n", "mlp.fit(X_train, y_train)\n", "mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3)\n", "mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train)\n", "plt.xlabel(\"특성 0\")\n", "plt.ylabel(\"특성 1\")" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 4, figsize=(20, 8))\n", "for axx, n_hidden_nodes in zip(axes, [10, 100]):\n", " for ax, alpha in zip(axx, [0.0001, 0.01, 0.1, 1]):\n", " mlp = MLPClassifier(solver='lbfgs', random_state=0,\n", " hidden_layer_sizes=[n_hidden_nodes, n_hidden_nodes],\n", " alpha=alpha)\n", " mlp.fit(X_train, y_train)\n", " mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3, ax=ax)\n", " mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train, ax=ax)\n", " ax.set_title(\"n_hidden=[{}, {}]\\nalpha={:.4f}\".format(\n", " n_hidden_nodes, n_hidden_nodes, alpha))" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(2, 4, figsize=(20, 8))\n", "for i, ax in enumerate(axes.ravel()):\n", " mlp = MLPClassifier(solver='lbfgs', random_state=i,\n", " hidden_layer_sizes=[100, 100])\n", " mlp.fit(X_train, y_train)\n", " mglearn.plots.plot_2d_separator(mlp, X_train, fill=True, alpha=.3, ax=ax)\n", " mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train, ax=ax)" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "유방암 데이터의 특성별 최대값:\n", "[ 28.11 39.28 188.5 2501. 0.163 0.345 0.427 0.201\n", " 0.304 0.097 2.873 4.885 21.98 542.2 0.031 0.135\n", " 0.396 0.053 0.079 0.03 36.04 49.54 251.2 4254.\n", " 0.223 1.058 1.252 0.291 0.664 0.207]\n" ] } ], "source": [ "print(\"유방암 데이터의 특성별 최대값:\\n{}\".format(cancer.data.max(axis=0)))" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.94\n", "테스트 세트 정확도: 0.92\n" ] } ], "source": [ "X_train, X_test, y_train, y_test = train_test_split(\n", " cancer.data, cancer.target, random_state=0)\n", "\n", "mlp = MLPClassifier(random_state=42)\n", "mlp.fit(X_train, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.2f}\".format(mlp.score(X_train, y_train)))\n", "print(\"테스트 세트 정확도: {:.2f}\".format(mlp.score(X_test, y_test)))" ] }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.991\n", "테스트 세트 정확도: 0.965\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/home/haesun/anaconda3/envs/introduction_to_ml_with_python/lib/python3.5/site-packages/sklearn/neural_network/multilayer_perceptron.py:562: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (200) reached and the optimization hasn't converged yet.\n", " % self.max_iter, ConvergenceWarning)\n" ] } ], "source": [ "# 훈련 세트 각 특성의 평균을 계산합니다\n", "mean_on_train = X_train.mean(axis=0)\n", "# 훈련 세트 각 특성의 표준 편차를 계산합니다\n", "std_on_train = X_train.std(axis=0)\n", "\n", "# 데이터에서 평균을 빼고 표준 편차로 나누면\n", "# 평균 0, 표준 편차 1 인 데이터로 변환됩니다.\n", "X_train_scaled = (X_train - mean_on_train) / std_on_train\n", "# (훈련 데이터의 평균과 표준 편차를 이용해) 같은 변환을 테스트 세트에도 합니다\n", "X_test_scaled = (X_test - mean_on_train) / std_on_train\n", "\n", "mlp = MLPClassifier(random_state=0)\n", "mlp.fit(X_train_scaled, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(mlp.score(X_train_scaled, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(mlp.score(X_test_scaled, y_test)))" ] }, { "cell_type": "code", "execution_count": 103, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 1.000\n", "테스트 세트 정확도: 0.972\n" ] } ], "source": [ "mlp = MLPClassifier(max_iter=1000, random_state=0)\n", "mlp.fit(X_train_scaled, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(mlp.score(X_train_scaled, y_train)))\n", "print(\"테스트 세트 정확도: {:.3f}\".format(mlp.score(X_test_scaled, y_test)))" ] }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 세트 정확도: 0.988\n", "훈련 세트 정확도: 0.972\n" ] } ], "source": [ "mlp = MLPClassifier(max_iter=1000, alpha=1, random_state=0)\n", "mlp.fit(X_train_scaled, y_train)\n", "\n", "print(\"훈련 세트 정확도: {:.3f}\".format(mlp.score(X_train_scaled, y_train)))\n", "print(\"훈련 세트 정확도: {:.3f}\".format(mlp.score(X_test_scaled, y_test)))" ] }, { "cell_type": "code", "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0.026, 0.041, 0.033, 0.031, 0.017, 0.018, 0.036, 0.041, 0.024,\n", " 0.017, 0.055, 0.017, 0.04 , 0.037, 0.013, 0.034, 0.012, 0.016,\n", " 0.014, 0.03 , 0.049, 0.052, 0.042, 0.043, 0.032, 0.015, 0.041,\n", " 0.049, 0.038, 0.026]),\n", " array([0.001, 0.002, 0.001, 0.001, 0. , 0. , 0.001, 0.002, 0.001,\n", " 0. , 0.003, 0. , 0.002, 0.001, 0. , 0.001, 0. , 0. ,\n", " 0. , 0.001, 0.002, 0.003, 0.002, 0.002, 0.001, 0. , 0.002,\n", " 0.002, 0.001, 0.001]))" ] }, "execution_count": 105, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mlp.coefs_[0].std(axis=1), mlp.coefs_[0].var(axis=1)" ] }, { "cell_type": "code", "execution_count": 106, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 106, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(20, 5))\n", "plt.imshow(mlp.coefs_[0], interpolation='none', cmap='viridis')\n", "plt.yticks(range(30), cancer.feature_names)\n", "plt.xlabel(\"은닉 유닛\")\n", "plt.ylabel(\"입력 특성\")\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 장단점과 파라미터\n", "##### 신경망의 복잡도 추정" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 분류 예측의 불확실성 추정" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GradientBoostingClassifier(criterion='friedman_mse', init=None,\n", " learning_rate=0.1, loss='deviance', max_depth=3,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='auto', random_state=0,\n", " subsample=1.0, tol=0.0001, validation_fraction=0.1,\n", " verbose=0, warm_start=False)" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.ensemble import GradientBoostingClassifier\n", "from sklearn.datasets import make_circles\n", "X, y = make_circles(noise=0.25, factor=0.5, random_state=1)\n", "\n", "# 예제를 위해 클래스의 이름을 \"blue\" 와 \"red\" 로 바꿉니다\n", "y_named = np.array([\"blue\", \"red\"])[y]\n", "\n", "# 여러개의 배열을 한꺼번에 train_test_split 에 넣을 수 있습니다\n", "# 훈련 세트와 테스트 세트로 나뉘는 방식은 모두 같습니다.\n", "X_train, X_test, y_train_named, y_test_named, y_train, y_test = \\\n", " train_test_split(X, y_named, y, random_state=0)\n", "\n", "# 그래디언트 부스팅 모델을 만듭니다\n", "gbrt = GradientBoostingClassifier(random_state=0)\n", "gbrt.fit(X_train, y_train_named)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 결정 함수" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_test.shape: (25, 2)\n", "결정 함수 결과 형태: (25,)\n" ] } ], "source": [ "print(\"X_test.shape: {}\".format(X_test.shape))\n", "print(\"결정 함수 결과 형태: {}\".format(gbrt.decision_function(X_test).shape))" ] }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "결정 함수:\n", "[ 4.136 -1.702 -3.951 -3.626 4.29 3.662]\n" ] } ], "source": [ "# 결정 함수 결과 중 앞부분 일부를 확인합니다\n", "print(\"결정 함수:\\n{}\".format(gbrt.decision_function(X_test)[:6]))" ] }, { "cell_type": "code", "execution_count": 110, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "임계치와 결정 함수 결과 비교:\n", "[ True False False False True True False True True True False True\n", " True False True False False False True True True True True False\n", " False]\n", "예측:\n", "['red' 'blue' 'blue' 'blue' 'red' 'red' 'blue' 'red' 'red' 'red' 'blue'\n", " 'red' 'red' 'blue' 'red' 'blue' 'blue' 'blue' 'red' 'red' 'red' 'red'\n", " 'red' 'blue' 'blue']\n" ] } ], "source": [ "print(\"임계치와 결정 함수 결과 비교:\\n{}\".format(\n", " gbrt.decision_function(X_test) > 0))\n", "print(\"예측:\\n{}\".format(gbrt.predict(X_test)))" ] }, { "cell_type": "code", "execution_count": 111, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pred 는 예측 결과와 같다: True\n" ] } ], "source": [ "# 불리언 값을 0과 1로 변환합니다\n", "greater_zero = (gbrt.decision_function(X_test) > 0).astype(int)\n", "# classes_에 인덱스로 사용합니다\n", "pred = gbrt.classes_[greater_zero]\n", "# pred 와 gbrt.predict의 결과를 비교합니다\n", "print(\"pred 는 예측 결과와 같다: {}\".format(\n", " np.all(pred == gbrt.predict(X_test))))" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "결정 함수 최소값: -7.69 최대값: 4.29\n" ] } ], "source": [ "decision_function = gbrt.decision_function(X_test)\n", "print(\"결정 함수 최소값: {:.2f} 최대값: {:.2f}\".format(\n", " np.min(decision_function), np.max(decision_function)))" ] }, { "cell_type": "code", "execution_count": 113, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 113, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", " \n", "mglearn.tools.plot_2d_separator(gbrt, X, ax=axes[0], alpha=.4,\n", " fill=True, cm=mglearn.cm2)\n", "scores_image = mglearn.tools.plot_2d_scores(gbrt, X, ax=axes[1],\n", " alpha=.4, cm=mglearn.ReBl)\n", "\n", "for ax in axes:\n", " # 훈련 포인트와 테스트 포인트를 그리기\n", " mglearn.discrete_scatter(X_test[:, 0], X_test[:, 1], y_test,\n", " markers='^', ax=ax)\n", " mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train,\n", " markers='o', ax=ax)\n", " ax.set_xlabel(\"특성 0\")\n", " ax.set_ylabel(\"특성 1\")\n", "cbar = plt.colorbar(scores_image, ax=axes.tolist())\n", "cbar.set_alpha(1)\n", "cbar.draw_all()\n", "axes[0].legend([\"테스트 클래스 0\", \"테스트 클래스 1\", \"훈련 클래스 0\",\n", " \"훈련 클래스 1\"], ncol=4, loc=(.1, 1.1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 예측 확률" ] }, { "cell_type": "code", "execution_count": 114, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "확률 값의 형태: (25, 2)\n" ] } ], "source": [ "print(\"확률 값의 형태: {}\".format(gbrt.predict_proba(X_test).shape))" ] }, { "cell_type": "code", "execution_count": 115, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted probabilities:\n", "[[0.016 0.984]\n", " [0.846 0.154]\n", " [0.981 0.019]\n", " [0.974 0.026]\n", " [0.014 0.986]\n", " [0.025 0.975]]\n" ] } ], "source": [ "# predict_proba 결과 중 앞부분 일부를 확인합니다\n", "print(\"Predicted probabilities:\\n{}\".format(\n", " gbrt.predict_proba(X_test[:6])))" ] }, { "cell_type": "code", "execution_count": 116, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 116, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", " \n", "mglearn.tools.plot_2d_separator(\n", " gbrt, X, ax=axes[0], alpha=.4, fill=True, cm=mglearn.cm2)\n", "scores_image = mglearn.tools.plot_2d_scores(\n", " gbrt, X, ax=axes[1], alpha=.5, cm=mglearn.ReBl, function='predict_proba')\n", "\n", "for ax in axes:\n", " # 훈련 포인트와 테스트 포인트를 그리기\n", " mglearn.discrete_scatter(X_test[:, 0], X_test[:, 1], y_test,\n", " markers='^', ax=ax)\n", " mglearn.discrete_scatter(X_train[:, 0], X_train[:, 1], y_train,\n", " markers='o', ax=ax)\n", " ax.set_xlabel(\"특성 0\")\n", " ax.set_ylabel(\"특성 1\")\n", "# colorbar 를 감추지 않습니다.\n", "cbar = plt.colorbar(scores_image, ax=axes.tolist())\n", "cbar.set_alpha(1)\n", "cbar.draw_all()\n", "axes[0].legend([\"테스트 클래스 0\", \"테스트 클래스 1\", \"훈련 클래스 0\",\n", " \"훈련 클래스 1\"], ncol=4, loc=(.1, 1.1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![](images/plot_classifier_comparison.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 다중 분류에서의 불확실성" ] }, { "cell_type": "code", "execution_count": 117, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GradientBoostingClassifier(criterion='friedman_mse', init=None,\n", " learning_rate=0.01, loss='deviance', max_depth=3,\n", " max_features=None, max_leaf_nodes=None,\n", " min_impurity_decrease=0.0, min_impurity_split=None,\n", " min_samples_leaf=1, min_samples_split=2,\n", " min_weight_fraction_leaf=0.0, n_estimators=100,\n", " n_iter_no_change=None, presort='auto', random_state=0,\n", " subsample=1.0, tol=0.0001, validation_fraction=0.1,\n", " verbose=0, warm_start=False)" ] }, "execution_count": 117, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_iris\n", "\n", "iris = load_iris()\n", "X_train, X_test, y_train, y_test = train_test_split(\n", " iris.data, iris.target, random_state=42)\n", "\n", "gbrt = GradientBoostingClassifier(learning_rate=0.01, random_state=0)\n", "gbrt.fit(X_train, y_train)" ] }, { "cell_type": "code", "execution_count": 118, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "결정 함수의 결과 형태: (38, 3)\n", "결정 함수 결과:\n", "[[-0.529 1.466 -0.504]\n", " [ 1.512 -0.496 -0.503]\n", " [-0.524 -0.468 1.52 ]\n", " [-0.529 1.466 -0.504]\n", " [-0.531 1.282 0.215]\n", " [ 1.512 -0.496 -0.503]]\n" ] } ], "source": [ "print(\"결정 함수의 결과 형태: {}\".format(gbrt.decision_function(X_test).shape))\n", "# plot the first few entries of the decision function\n", "print(\"결정 함수 결과:\\n{}\".format(gbrt.decision_function(X_test)[:6, :]))" ] }, { "cell_type": "code", "execution_count": 119, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "가장 큰 결정 함수의 인덱스:\n", "[1 0 2 1 1 0 1 2 1 1 2 0 0 0 0 1 2 1 1 2 0 2 0 2 2 2 2 2 0 0 0 0 1 0 0 2 1\n", " 0]\n", "예측:\n", "[1 0 2 1 1 0 1 2 1 1 2 0 0 0 0 1 2 1 1 2 0 2 0 2 2 2 2 2 0 0 0 0 1 0 0 2 1\n", " 0]\n" ] } ], "source": [ "print(\"가장 큰 결정 함수의 인덱스:\\n{}\".format(\n", " np.argmax(gbrt.decision_function(X_test), axis=1)))\n", "print(\"예측:\\n{}\".format(gbrt.predict(X_test)))" ] }, { "cell_type": "code", "execution_count": 120, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "예측 확률:\n", "[[0.107 0.784 0.109]\n", " [0.789 0.106 0.105]\n", " [0.102 0.108 0.789]\n", " [0.107 0.784 0.109]\n", " [0.108 0.663 0.228]\n", " [0.789 0.106 0.105]]\n", "합: [1. 1. 1. 1. 1. 1.]\n" ] } ], "source": [ "# predict_proba 결과 중 앞부분 일부를 확인합니다\n", "print(\"예측 확률:\\n{}\".format(gbrt.predict_proba(X_test)[:6]))\n", "# 행 방향으로 확률을 더하면 1 이 됩니다\n", "print(\"합: {}\".format(gbrt.predict_proba(X_test)[:6].sum(axis=1)))" ] }, { "cell_type": "code", "execution_count": 121, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "가장 큰 예측 확률의 인덱스:\n", "[1 0 2 1 1 0 1 2 1 1 2 0 0 0 0 1 2 1 1 2 0 2 0 2 2 2 2 2 0 0 0 0 1 0 0 2 1\n", " 0]\n", "예측:\n", "[1 0 2 1 1 0 1 2 1 1 2 0 0 0 0 1 2 1 1 2 0 2 0 2 2 2 2 2 0 0 0 0 1 0 0 2 1\n", " 0]\n" ] } ], "source": [ "print(\"가장 큰 예측 확률의 인덱스:\\n{}\".format(\n", " np.argmax(gbrt.predict_proba(X_test), axis=1)))\n", "print(\"예측:\\n{}\".format(gbrt.predict(X_test)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "사이킷런 0.20 버전에서 `LogisticRegression`의 `multi_class` 매개변수 옵션에 `auto`가 추가되었습니다. `auto`로 설정하면 이진 분류이거나 `solver`가 `liblinear`일 경우에는 `ovr`을 선택하고 그 외에는 `multinomial`을 선택합니다. 사이킷런 0.22 버전부터는 `multi_class` 매개변수의 기본값이 `ovr`에서 `auto`로 변경됩니다. 여기서는 경고를 피하기 위해 명시적으로 `ovr` 옵션을 지정합니다." ] }, { "cell_type": "code", "execution_count": 122, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "훈련 데이터에 있는 클래스 종류: ['setosa' 'versicolor' 'virginica']\n", "예측: ['versicolor' 'setosa' 'virginica' 'versicolor' 'versicolor' 'setosa'\n", " 'versicolor' 'virginica' 'versicolor' 'versicolor']\n", "가장 큰 결정 함수의 인덱스: [1 0 2 1 1 0 1 2 1 1]\n", "인덱스를 classses_에 연결: ['versicolor' 'setosa' 'virginica' 'versicolor' 'versicolor' 'setosa'\n", " 'versicolor' 'virginica' 'versicolor' 'versicolor']\n" ] } ], "source": [ "logreg = LogisticRegression(solver='liblinear', multi_class='ovr')\n", "\n", "# iris 데이터셋의 타깃을 클래스 이름으로 나타내기\n", "named_target = iris.target_names[y_train]\n", "logreg.fit(X_train, named_target)\n", "print(\"훈련 데이터에 있는 클래스 종류: {}\".format(logreg.classes_))\n", "print(\"예측: {}\".format(logreg.predict(X_test)[:10]))\n", "argmax_dec_func = np.argmax(logreg.decision_function(X_test), axis=1)\n", "print(\"가장 큰 결정 함수의 인덱스: {}\".format(argmax_dec_func[:10]))\n", "print(\"인덱스를 classses_에 연결: {}\".format(\n", " logreg.classes_[argmax_dec_func][:10]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 요약 및 정리" ] } ], "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": "3.5.6" }, "latex_metadata": { "author": "Andreas C. M\\\"ller", "title": "Machine Learning with Python" } }, "nbformat": 4, "nbformat_minor": 1 }