{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 필기체 숫자 인식에 PCA 적용예제" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sklearn에서 제공하는 데이터 세트의 필기체 인식을 통해 PCA 예제를 살펴봅니다.\n", "\n", "데이터 : 0~9까지의 필기체가 $8\\times8$ 행렬(64개)의 픽셀 강도값을 가진 특징값\n", "\n", "PCA를 이용하여, 64개의 특징 차원을 최소화해보려고 합니다." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import matplotlib as mpl\n", "\n", "from sklearn.decomposition import PCA\n", "from sklearn.datasets import load_digits\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "mpl.rcParams['figure.figsize'] = (6, 4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Data loading" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "digits = load_digits()\n", "x = digits.data\n", "y = digits.target" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(1797, 64)\n", "[ 0. 0. 5. 13. 9. 1. 0. 0. 0. 0. 13. 15. 10. 15. 5. 0. 0. 3.\n", " 15. 2. 0. 11. 8. 0. 0. 4. 12. 0. 0. 8. 8. 0. 0. 5. 8. 0.\n", " 0. 9. 8. 0. 0. 4. 11. 0. 1. 12. 7. 0. 0. 2. 14. 5. 10. 12.\n", " 0. 0. 0. 0. 6. 13. 10. 0. 0. 0.]\n" ] } ], "source": [ "print(x.shape)\n", "print(x[0])" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 그림을 그려봅니다.\n", "print(y[0])\n", "plt.matshow(digits.images[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Data normalizing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "PCA는 데이터의 분산을 최대화합니다. 따라서, 특정 feature의 scale이 다른 feature의 scale보다 크면 분산에 큰 영향을 미치게 됩니다. 이 경우 normalizing을 해서 scale을 맞춥니다." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "from sklearn.preprocessing import StandardScaler" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0. , -0.33501649, -0.04308102, 0.27407152, -0.66447751,\n", " -0.84412939, -0.40972392, -0.12502292, -0.05907756, -0.62400926,\n", " 0.4829745 , 0.75962245, -0.05842586, 1.12772113, 0.87958306,\n", " -0.13043338, -0.04462507, 0.11144272, 0.89588044, -0.86066632,\n", " -1.14964846, 0.51547187, 1.90596347, -0.11422184, -0.03337973,\n", " 0.48648928, 0.46988512, -1.49990136, -1.61406277, 0.07639777,\n", " 1.54181413, -0.04723238, 0. , 0.76465553, 0.05263019,\n", " -1.44763006, -1.73666443, 0.04361588, 1.43955804, 0. ,\n", " -0.06134367, 0.8105536 , 0.63011714, -1.12245711, -1.06623158,\n", " 0.66096475, 0.81845076, -0.08874162, -0.03543326, 0.74211893,\n", " 1.15065212, -0.86867056, 0.11012973, 0.53761116, -0.75743581,\n", " -0.20978513, -0.02359646, -0.29908135, 0.08671869, 0.20829258,\n", " -0.36677122, -1.14664746, -0.5056698 , -0.19600752])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scaler = StandardScaler()\n", "scaled_x = scaler.fit_transform(x)\n", "scaled_x[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. 2차원 Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (1) PCA" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=2)\n", "reduced_x = pca.fit_transform(scaled_x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (2) 시각화" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### A. 시각화를 위해 transform 데이터를 리스트에 넣는다." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "zero_x, zero_y = [], []\n", "one_x, one_y = [], []\n", "two_x, two_y = [], []\n", "three_x, three_y = [], []\n", "four_x, four_y = [], []\n", "five_x, five_y = [], []\n", "six_x, six_y = [], []\n", "seven_x, seven_y = [], []\n", "eight_x, eight_y = [], []\n", "nine_x, nine_y = [], []" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "for i in range(len(reduced_x)):\n", " if y[i] == 0:\n", " zero_x.append(reduced_x[i][0])\n", " zero_y.append(reduced_x[i][1])\n", " elif y[i] == 1:\n", " one_x.append(reduced_x[i][0])\n", " one_y.append(reduced_x[i][1])\n", " elif y[i] == 2:\n", " two_x.append(reduced_x[i][0])\n", " two_y.append(reduced_x[i][1]) \n", " elif y[i] == 3:\n", " three_x.append(reduced_x[i][0])\n", " three_y.append(reduced_x[i][1])\n", " elif y[i] == 4:\n", " four_x.append(reduced_x[i][0])\n", " four_y.append(reduced_x[i][1])\n", " elif y[i] == 5:\n", " five_x.append(reduced_x[i][0])\n", " five_y.append(reduced_x[i][1])\n", " elif y[i] == 6:\n", " six_x.append(reduced_x[i][0])\n", " six_y.append(reduced_x[i][1])\n", " elif y[i] == 7:\n", " seven_x.append(reduced_x[i][0])\n", " seven_y.append(reduced_x[i][1])\n", " elif y[i] == 8:\n", " eight_x.append(reduced_x[i][0])\n", " eight_y.append(reduced_x[i][1])\n", " elif y[i] == 9:\n", " nine_x.append(reduced_x[i][0])\n", " nine_y.append(reduced_x[i][1]) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### B. 데이터를 plotting 한다." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "mpl.rcParams['figure.figsize'] = (12, 8)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'PC 2')" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "zero = plt.scatter(zero_x, zero_y, c='m', marker='x', label='zero')\n", "one = plt.scatter(one_x, one_y, c='g', marker='+', label='one')\n", "two = plt.scatter(two_x, two_y, c='b', marker='s', label='two')\n", "three = plt.scatter(three_x, three_y, c='m', marker='*', label='three')\n", "four = plt.scatter(four_x, four_y, c='c', marker='h', label='four')\n", "five = plt.scatter(five_x, five_y, c='r', marker='D', label='five')\n", "six = plt.scatter(six_x, six_y, c='y', marker='8', label='six')\n", "seven = plt.scatter(seven_x, seven_y, c='k', marker='*', label='seven')\n", "eight = plt.scatter(eight_x, eight_y, c='r', marker='x', label='eight')\n", "nine = plt.scatter(nine_x, nine_y, c='b', marker='D', label='nine')\n", "\n", "plt.legend(\n", " (zero, one, two, three, four, five, six, seven, eight, nine),\n", " ('zero', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine'),\n", " scatterpoints=1,\n", " loc='lower left',\n", " ncol=3,\n", " fontsize=10)\n", "\n", "plt.xlabel('PC 1')\n", "plt.ylabel('PC 2')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. 3차원 Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (1) PCA" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "pca = PCA(n_components=3)\n", "reduced_x = pca.fit_transform(scaled_x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (2) 시각화" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### A. 시각화를 위해 transform 데이터를 리스트에 넣는다." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "zero_x, zero_y, zero_z = [], [], []\n", "one_x, one_y, one_z = [], [], []\n", "two_x, two_y, two_z = [], [], []\n", "three_x, three_y, three_z = [], [], []\n", "four_x, four_y, four_z = [], [], []\n", "five_x, five_y, five_z = [], [], []\n", "six_x, six_y, six_z = [], [], []\n", "seven_x, seven_y, seven_z = [], [], []\n", "eight_x, eight_y, eight_z = [], [], []\n", "nine_x, nine_y, nine_z = [], [], []" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "for i in range(len(reduced_x)):\n", " if y[i] == 0:\n", " zero_x.append(reduced_x[i][0])\n", " zero_y.append(reduced_x[i][1])\n", " zero_z.append(reduced_x[i][2])\n", " elif y[i] == 1:\n", " one_x.append(reduced_x[i][0])\n", " one_y.append(reduced_x[i][1])\n", " one_z.append(reduced_x[i][2])\n", " elif y[i] == 2:\n", " two_x.append(reduced_x[i][0])\n", " two_y.append(reduced_x[i][1]) \n", " two_z.append(reduced_x[i][2])\n", " elif y[i] == 3:\n", " three_x.append(reduced_x[i][0])\n", " three_y.append(reduced_x[i][1])\n", " three_z.append(reduced_x[i][2])\n", " elif y[i] == 4:\n", " four_x.append(reduced_x[i][0])\n", " four_y.append(reduced_x[i][1])\n", " four_z.append(reduced_x[i][2])\n", " elif y[i] == 5:\n", " five_x.append(reduced_x[i][0])\n", " five_y.append(reduced_x[i][1])\n", " five_z.append(reduced_x[i][2])\n", " elif y[i] == 6:\n", " six_x.append(reduced_x[i][0])\n", " six_y.append(reduced_x[i][1])\n", " six_z.append(reduced_x[i][2])\n", " elif y[i] == 7:\n", " seven_x.append(reduced_x[i][0])\n", " seven_y.append(reduced_x[i][1])\n", " seven_z.append(reduced_x[i][2])\n", " elif y[i] == 8:\n", " eight_x.append(reduced_x[i][0])\n", " eight_y.append(reduced_x[i][1])\n", " eight_z.append(reduced_x[i][2])\n", " elif y[i] == 9:\n", " nine_x.append(reduced_x[i][0])\n", " nine_y.append(reduced_x[i][1]) \n", " nine_z.append(reduced_x[i][2])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### B. 데이터를 plotting 한다." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "from matplotlib import pyplot\n", "from mpl_toolkits.mplot3d import Axes3D" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'PC 3')" ] }, "execution_count": 17, "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 = pyplot.figure()\n", "ax = Axes3D(fig)\n", "\n", "zero = ax.scatter(zero_x, zero_y, zero_z, c='m', marker='x', label='zero')\n", "one = ax.scatter(one_x, one_y, one_z, c='g', marker='+', label='one')\n", "two = ax.scatter(two_x, two_y, two_z, c='b', marker='s', label='two')\n", "three = ax.scatter(three_x, three_y, three_z, c='m', marker='*', label='three')\n", "four = ax.scatter(four_x, four_y, four_z, c='c', marker='h', label='four')\n", "five = ax.scatter(five_x, five_y, five_z, c='r', marker='D', label='five')\n", "six = ax.scatter(six_x, six_y, six_z, c='y', marker='8', label='six')\n", "seven = ax.scatter(seven_x, seven_y, seven_z, c='k', marker='*', label='seven')\n", "eight = ax.scatter(eight_x, eight_y, eight_z, c='r', marker='x', label='eight')\n", "nine = ax.scatter(nine_x, nine_y, nine_z, c='b', marker='D', label='nine')\n", "\n", "ax.legend(\n", " (zero, one, two, three, four, five, six, seven, eight, nine),\n", " ('zero', 'one', 'two', 'three', 'four', 'five', 'six', 'seven', 'eight', 'nine'),\n", " numpoints=1,\n", " loc='lower left',\n", " ncol=3,\n", " fontsize=10,\n", " bbox_to_anchor=(0, 0))\n", "\n", "ax.set_xlabel('PC 1')\n", "ax.set_ylabel('PC 2')\n", "ax.set_zlabel('PC 3')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 4. 최적의 principal component의 개수를 찾기" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "몇 개의 principal component를 추출할지에 대한 기준\n", "- 전체 설명된 분산이 미미하게 감소하기 시작하는 시점\n", "- 설명된 분산이 전체의 80% 이상일 경우" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "max_pc = 30" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "principal_components = []\n", "total_explained_var = []" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "for i in range(max_pc):\n", " pca = PCA(n_components=i+1)\n", " reduced_x = pca.fit_transform(scaled_x)\n", " variance = pca.explained_variance_ratio_.sum()\n", " principal_components.append(i+1)\n", " total_explained_var.append(variance)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ]),\n", " )" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wzW9+aocJSapHlmNJUvumToXzz4fPfx523DGbNT799LxTSVKPshxLkj7tpZfgyCNhpZWyt4MGwfXXwyuvwIkndrj3sHsSS6oHXpAnScruYHfvvdlM8R13wCKLwB57wBFHwIYbfupU9ySWVM8sx5LUyD74AK6+OivF//gHLL88/OQncPDB8JnP5J1OkirOcixJdazDG3YMnE3r/j+Cyy+H99+HDTbIbvO8xx6w2GKVDypJVcJyLEl1rMMbdkzqDb/4BeyyS7au+KtfhYjKhpOkKmQ5lqRG9corsPLKeaeQpKribhWSVK8++KDz91uMJWkBlmNJqjfvvgunngqrrJJ3EkmqOZZjSaoXr78ORx0FQ4bAKafAppvmnUiSao7lWJJq3XPPwT77wBprwEUXwe67Z8duvdUbdkjSQvKCPEmqVQ8/DKNGwZ/+BEstBYcdBkcfnc0cF3jDDklaOJZjSaolc+Zkd7AbNQoeeQSWWy5bX3zoodmvJUklsRxLUi2YOROuuw7OPhuefz672O6CC+CAA2DJJfNOJ0l1w3IsSVWiw7vZ9f2A1gFrwxtvwBe+kN3u+TvfgT59Kh9Skuqc5ViSqkSHd7ObthSsvypccglst513spOkHmQ5lqRa8OCDeSeQpIbgVm6SVA2mT887gSSJIstxRPSOiHMiYmJETIuIGyNiYAfnnhgR09s8UkScX97oklQHPvoIzjsPVl897ySSJIqfOT4BGAZsBKxUOHZVeyemlM5IKS099wFsACTg6lLDSlLdmD0brrgC1lwzu6vdF76QdyJJEsWX4xHAqJTSyymlKcBIYNuIWKXI5/49pfRkd0NKUt1ICW66CdZbD/bfH5ZfHu6+G/76V+9mJ0lVoMtyHBEDgCHAmLnHUkrjganA0C6euxiwH3BpSSklqR789a+w0Uaw665ZSb7hBnjySdh6a4igtTU73PbhXe4kqXKKmTnuW3g7pc3xyUC/Lp67G7AocG1HJ0TEiIhoiYiWiRMnFhFHkmrMk0/CVltlj9ZW+M1v4Nlns5LstmySVFWKKcfTCm/7tzk+gGz2uDPfB65JKXV4GXZKaXRKqTml1Dxo0KAi4khSjfjHP2CXXbLZ4meegV/+Ev797+yudou4k6YkVaMuy3FKaTLwOtmFdQBExOpks8bjOnpeRKwDbAZcUnpMSaohr74K++2XrSu+91449VR4+eXswrvFF887nSSpE8VOXYwGjo+I+4B3gVHAXSmlVzt5zveBx1NKz5QWUZKqT4e3el5yKq0z14ReveDoo+GEE2BguztfSpKqULG7VZwF3A48BbwF9Ab2BoiI4RHxqWUTEbEEsA/OGkuqUx3e6vm//WDffeHFF+Hccy3GklRjIqWUd4ZPNDc3p5aWlrxjSFKXOruOroo+rUqSOhARY1JKzW2Pe/toSVpYc+bknUCS1EMsx5JUrJTgrrtggw26PleSVJMsx5JUjKefzm7Wse22MLWrXSwlSbXKcixJnXnlFdhrL/jyl2HsWPjVr+CFF7zVsyTVKXehl6T2TJoEp58OF12U3bDjxBNh5Ejon90PyVs6S1J9shxL0vz++1847zw46yyYPj27m90pp8CKK+adTJJUAZZjSQKYNQuuvBJOPhnefht22gnOPBPWWSfvZJKkCnLNsaTGlhLcfjsMHQoHHghDhsCDD8Ktt1qMJakBWY4l1b3Bg7ObdrR9DF7uY/j617NZ4lmz4MYb4dFHYbPN8o4sScqJyyok1b0Ob/X83qLw73/DxRfD974HffpUNpgkqepYjiU1tpdegqWXzjuFJKlKuKxCUmOzGEuS5mM5llS/Zs+GK67IO4UkqYZYjiXVp3vvze5qt//+eSeRJNUQy7Gk+vLcc7D99rD11jB1Klx/PU1Nqd1TvdWzJKkty7Gk+vCf/8BBB2X7FT/2GPz85/DCC7DHHrS2BimxwMNbQEuS2nK3Ckm1bfr0rAiffTbMnAlHHgknnQTLLpt3MklSDbIcS6pNs2fD734HP/lJNgW8++7Z7Z7XWCPvZJKkGmY5llRbUoK77oIf/jBbX/zVr8JNN8Emm+SdTJJUB1xzLKl2jB0L3/wmbLcdfPgh3HADPPywxViSVDbOHEuqKoMHt3+756bFp9D60QawzDJw3nlw8MGw6KKVDyhJqmuWY0lVpb1iDDBhRn/44XFw4okwYEBlQ0mSGoblWFLtOPvsvBNIkuqca44lSZKkAsuxpOrw8cfws5/lnUKS1OAsx5Ly9/DDsP76cPLJeSeRJDU4y7Gk/Lz/PowYAZttBv/9L9xxB01N7Z/a0XFJksrJC/IkVV5K8Ic/wFFHwaRJcOyxcOqpsNRStLbmHU6S1Mgsx5Iq65VX4Ac/gL/8BZqb4c474UtfyjuVJEmAyyokVcqsWXDOObDuutka41/9Ch5/3GIsSaoqzhxL6nlPPZWtLR47FnbaCS68EFZeOe9UkiQtwJljST1n2jQ48kjYeGN45x248Ua45RaLsSSpajlzLKln3HorHHYYvPVWtsb49NOhf/+8U0mS1CnLsaRuGzwYJkxY8HjTYu/T+tHOsN568Mc/ZjPHkiTVAJdVSOq29ooxwISPloGzzoIxYyzGkqSa4syxpJ5x/PF5J5AkaaE5cyxJkiQVWI4ldc+//513AkmSys5yLGnhzJkD550HQ4fmnUSSpLKzHEsq3iuvwJZbwlFHwVZb0TRodrunNTVVOJckSWViOZbUtZTg0kuzrdn+/nf47W/htttofac3KbHAo7U178CSJHVPUeU4InpHxDkRMTEipkXEjRExsJPzl4+IKyPi3YiYGhFjI2KF8sWWVDFvvAHbbgsHHwybbALPPgv77w8ReSeTJKnsip05PgEYBmwErFQ4dlV7J0bE4sBfgY+BzwMDgOHA9JKSSqqslODKK7PZ4kcegV//Gu6+G4YMyTuZJEk9pth9jkcAP00pvQwQESOBlyJilZTSa23O3ZesEP8gpTSzcOz5sqSVVBmtrfD978Ntt8Fmm8HvfgdrrJF3KkmSelyXM8cRMQAYAoyZeyylNB6YCrR3ufoWwIvAFYVlFf+MiKPLlFdST/u//4MvfAHuugt+8Qu4/36LsSSpYRSzrKJv4e2UNscnA/3aOX8gWUF+EvgMsDfw44gY3t7gETEiIloiomXixInFpZZUfpMmwR57ZI811oCxY+Hoo6GX1+1KkhpHMV/1phXe9m9zfADZ7HF757+VUjovpfRxSqkFuJpszfICUkqjU0rNKaXmQYMGFZtbUjnddls2W3zzzXD66dka47XWyjuVJEkV12U5TilNBl4HNph7LCJWJ5s1HtfOU8YCqb2huplRUhkMHpxtMNH2MXiJyTBsGHzmM9DSAieeCIsUezmCJEn1pdifl44Gjo+I1SKiHzAKuCul9Go7514BLBcRhxa2gBtKtlvFTeUILKl7Jkzo4PiMAfCTn8ATT8AXv1jZUJIkVZliy/FZwO3AU8BbQG+ytcRExPCI+GSbtsLuFdsDB5Itu7gBOCWl9Icy5pZUTj/9KSy6aN4pJEnKXaRUPasdmpubU0tLS94xpLrU2T07qujTgCRJFRERY1JKzW2Pexm61Ahmz847gSRJNcFyLNW7N96Ab3wj7xSSJNUEy7FUz/74x+wiuzFjaOr3YbunNDVVOJMkSVXMcizVo2nT4IAD4Dvfgc9/HsaOpXXKEqTEAo/W1rzDSpJUPSzHUr158kn40pfgyivhpJPgoYe8/bMkSUWyHEv1YvZsOOMM2HRTmDkT7r8ffvYz6NMn72SSJNUMb4Ml1YM33oDvfhceeAD22AMuuQQGDMg7lSRJNcdyLNW6P/4RRoyAWbOypRTf/W7nmxpLkqQOuaxCqlXTpy9w0R377GMxliSpBJZjqRZ50Z0kST3CcizVkvkvuvv4Yy+6kySpzFxzLFWhwYNhwoQFjzf1mULrzB970Z0kST3EcixVofaKMcCEmcvCFVe4tliSpB5iOZZqzb775p1AkqS65ZpjSZIkqcByLFWblPJOIElSw7IcS9Vk0iQYNizvFJIkNSzLsVQtHngA1l8f7rqLpr4ftHtKU1OFM0mS1GAsx1LeZs2CU06BLbeEJZeExx+ndepSpMQCj9bWvMNKklTf3K1CytObb8Lw4fDgg9n2bBdeCH375p1KkqSGZTmW8nLbbbD//vDRR/D738N3v5t3IkmSGp7LKqRKmzEDjjgiu/BulVXg6actxpIkVQnLsVRJ//oXbLIJXHABHHUUPPYYrLlm3qkkSVKByyqkSkgpWzpx6KGw+OJw++2www55p5IkSW04cyz1tGnTsovt9tsPmpvhmWcsxpIkVSnLsdSTxoyBDTaAa6+FU0+Fv/4VVlwx71SSJKkDlmOpJ6QEv/xltr54xgy47z44+WTo3TvvZJIkqROuOZZKNHgwTJjQ9mjQxJ60DnsAfvMbWG65PKJJkqSFZDmWSrRgMS4cZzDcfDNEVDaQJEnqNpdVSD3JYixJUk2xHEuSJEkFlmOpFG++mXcCSZJURpZjqbsefxw23DDvFJIkqYwsx1J3XHUVbL45LLkkTcvNbPeUpqbKRpIkSaWzHEsLY/ZsGDkyu+PdJpvAk0/SOqkPKbHAo7U177CSJGlhuZWbVKypU2GvveCOO+CQQ+C886BPn7xTSZKkMrIcS8V46SXYaSd48UX49a+zcixJkuqO5Vjqyl//Crvvnu1ZfPfdsMUWeSeSJEk9xDXHUkdSggsvhG22gRVWgKeeshhLklTnLMdSez7+GA4+GA4/HLbfHh59FFZfPe9UkiSph1mOpbYmToStt4bRo+FHP4JbboF+/fJOJUmSKqCochwRvSPinIiYGBHTIuLGiBjYwbmbR0SKiOnzPR4tb2yph4wbB1/5Cjz5JFxzDZxxBvTye0hJkhpFsV/1TwCGARsBKxWOXdXJ+bNTSkvP9/hqKSGlirjlFvjqV7MlFQ8+mG3bJkmSGkqx5XgEMCql9HJKaQowEtg2IlbpuWhShaQEp50G3/42rLtuduGdt4WWJKkhdVmOI2IAMAQYM/dYSmk8MBUY2sHTekfEGxHRGhF3RERH50kVNXhwtiPbpx69gsE/ORCGD4f77892ppAkSQ2pmJnjvoW3U9ocnwy0d5XSP4H1gdWAtYBxwN8iot3GEREjIqIlIlomTpxYXGqpmyZM6OA4g+Gqq2CJJSobSJIkVZViyvG0wtv+bY4PIJs9/pSUUmtK6ZmU0qyU0uSU0o+A94Dt2hs8pTQ6pdScUmoeNGjQwmSXyisi7wSSJClnXZbjlNJk4HVgg7nHImJ1slnjcUX+OXMAm4ckSZKqWrEX5I0Gjo+I1SKiHzAKuCul9GrbEyNiy4j4bET0ioilI+IUoAm4q1yhJUmSpJ5QbDk+C7gdeAp4C+gN7A0QEcMjYvp85w4F/kq2HONlYGNg65TSG+UKLXXLnXfmnUCSJFW5SCnlneETzc3NqaWlJe8Yqkc33wx77MHg9DYTZi14/5qmJmhtzSGXJEnKRUSMSSk1tz3urb9U/669FnbfHZqbaZ24CCmxwMNiLEmSwHKsevfb38Lee8Nmm8Hdd8OAAXknkiRJVcxyrPp14YXwve/BNtvAn/8MSy+ddyJJklTlLMeqT+ecA4cfDjvvDLfc4s09JElSUSzHqi8pwamnwsiR8D//A//3f7DYYnmnkiRJNWKRvANIZZMSnHACnH027L8/XHYZ9O6ddypJklRDLMeqD3PmwJFHZuuMf/ADuOAC6OUPRiRJ0sKxPaj2zZ4NI0Zkxfi447K3FmNJktQNNgjVtpkzYZ994De/gZNPzpZUROSdSpIk1SiXVah2ffxxdtHdzTfDWWfB8cfnnUiSJNU4y7Fq04cfwq67wp13wvnnZ9u2SZIklchyrNozfTrstBPcf3+2I8WBB+adSJIk1QnLsWrLlCmw/fbwxBNw1VUwfHjeiSRJUh2xHKtqDR4MEya0PdqfJm6k9YZHsmUVkiRJZeRuFapaCxbjwnEGW4wlSVKPsBxLkiRJBZZjSZIkqcByLEmSJBVYjlWd3n037wSSJKkBWY5VfSZPhm9+kyZa2313U1OF80iSpIZhOVZ1mToVtt0Wnn2W1jueJiUWeLS235klSZJK5j7Hqh7Tp8VSdKgAACAASURBVMO3vgVjxsANN2Q3+5AkSaogy7Gqw3//CzvuCI89BtdfD8OG5Z1IkiQ1IMux8jdjBuy8MzzwAFx9Ney2W96JJElSg7IcK18ffZTd7e6ee+B3v4O99so7kSRJamBekKf8zJwJe+wBf/4zXHop7Ldf3okkSVKDsxwrH7NmwfDhcOutcOGFMGJE3okkSZIsx8rB7NnZLPEf/wg//zkcemjeiSRJkgDLsSptzhw48EC45ho44ww45pi8E0mSJH3CcqzKSQl+8AO44go45RT40Y/yTiRJkvQplmNVRkpw5JHZhXc/+hGcfHLeiSRJkhZgOVbPSwl++EO44IJsGcXpp0NE3qkkSZIWYDlWz0oJTjopu/DusMPg3HMtxpIkqWpZjtWzfvaz7MK7ESPgvPMsxpIkqapZjtVzzjoL/vd/s23bLr4YevnfTZIkVTdvH62yGDwYJkxoe/QEmhY/mNbL+1qMJUlSTbAcqywWLMaF4zMGQO/KZpEkSeoup/MkSZKkAsuxJEmSVGA5liRJkgosxyrd5Ml5J5AkSSqLospxRPSOiHMiYmJETIuIGyNiYBHPOyQiUkScVHpUVaWZM+E736GJ1nbf3dRU4TySJEklKHbm+ARgGLARsFLh2FWdPSEiVgGOBZ7tdjpVt5TgiCPgnnto/e2dpMQCj9b2O7MkSVJVKrYcjwBGpZReTilNAUYC2xYKcEd+A/wYeK/EjKpWF1wAl1wCI0fC/vvnnUaSJKlkXZbjiBgADAHGzD2WUhoPTAWGdvCc7wMfpJT+UKacqjZ//jMcfTTsvDOceWbeaSRJksqimJuA9C28ndLm+GSgX9uTI2IIcBKwcTEBImIE2cw0Q4YMKeYpytuzz8L//A8MHQpXX+3d7yRJUt0optVMK7zt3+b4ALLZ47YuB05LKb1VTICU0uiUUnNKqXnQoEHFPEV5mjABdtwR+vaF226DpZbKO5EkSVLZdDlznFKaHBGvAxsAYwEiYnWyWeNx7Txla+DLEXF64ff9gQ0jYpuU0mblia1cfPhhtozinXfgoYdgpZW6fo4kSVINKWZZBcBo4PiIuA94FxgF3JVSerWdc1du8/s/Ag8BP+9uSFWBlOCAA+Dxx+HGG+HLX847kSRJUtkVW47PApYBngIWA+4B9gaIiOHApSmlpQFSSm/O/8SI+AiYmlKaUK7QysFPfwrXX59dfLfLLnmnkSRJ6hGRUso7wyeam5tTS0tL3jHU1nXXwV57wb77wu9+BxF5J5IkSSpJRIxJKTW3Pe42A+rc449nexhvthlceqnFWJIk1TXLsTr22mswbBisuCLcdBMstljeiSRJknpUsWuO1WimToUddoCPPoL774eBA/NOJEmS1OMsx1rQrFmw557wwgvwl7/A2mvnnUiSJKkiLMda0HHHZbeHvvhi2GqrvNNIkiRVjGuO9WkXXwznnQdHHQUHH5x3GkmSpIqyHGuee+6Bww+Hb30Lzj037zSSJEkVZzlW5oUXYPfdYZ11sn2Ne/fOO5EkSVLFWY4FkyZlO1Msthjcfjv07Zt3IkmSpFx4QV4DGjwYJnzqZt4DgfE0LfsxrassmlMqSZKk/Dlz3IA+XYznO/6exViSJDU2y7EkSZJUYDmWJEmSCizHkiRJUoHlWJIkSSqwHDeaqVNp6vVOu+9qaqpwFkmSpCpjOW40P/4xrWkw6fEnSIlPPVpb8w4nSZKUL8txI3niCbjoIjjsMNhoo7zTSJIkVR3LcaOYORMOOghWWAFOOy3vNJIkSVXJO+Q1il/8Ap59Fm65Bfr1yzuNJElSVXLmuBGMHw+nnAK77ALDhuWdRpIkqWpZjutdSnDwwdCnD5x/ft5pJEmSqprLKurdNdfAvfdmF+KtuGLeaSRJkqqaM8f1bNIkOPpo2HjjbPZYkiRJnbIc17PjjoPJk2H0aOjlP7UkSVJXbEz16m9/gyuvhJEjYb318k4jSZJUEyzH9ejDD+H734fPfhZOOinvNJIkSTXDC/Lq0WmnwUsvZRfiLbFE3mkkSZJqhjPH9ea55+Dss2HffeEb38g7jSRJUk2xHNeTOXNgxAjo3x/OPTfvNJIkSTXHZRX15NJL4bHH4Pe/h4ED804jSZJUc5w5rhdvvQUnnABbbQV77513GkmSpJpkOa4XRxwBH38Ml1wCEXmnkSRJqkkuq6gHt94KN90EZ54Ja6yRdxpJkqSa5cxxrZs6FQ49NLvRx7HH5p1GkiSppjlzXOtOOgnefhtuvBH69Mk7jSRJUk1z5riWPfkkXHhhNnO80UZ5p5EkSap5luNaNXMmHHQQrLACnH563mkkSZLqgssqatUvfwnjxsHNN0O/fnmnkSRJqgvOHNei8ePhlFPg29+GnXfOO40kSVLdsBzXmpTgkENgkUXgggvyTiNJklRXiirHEdE7Is6JiIkRMS0iboyIdu9PHBGbRcTTEfFeREwp/HqX8sZuYNdeC/fck+1pvOKKeaeRJEmqK8XOHJ8ADAM2AlYqHLuqg3P/BXwbWA4YABwFXB0Ra5eQs2ENHpzd8O6Tx97DCRKDf/aDvKNJkiTVnWIvyBsB/DSl9DJARIwEXoqIVVJKr81/Ykrpnbm/johewByyEv5Z4IWypG4gEyZ0dNxbREuSJJVbl+U4IgYAQ4Axc4+llMZHxFRgKPBaB8+bDCxV+DMeBO4uR2BJkiSppxQzc9y38HZKm+OTgQ73EEspDYiIxYDtgM8Ds9o7LyJGkM1MM2TIkCLiSJIkST2jmDXH0wpv+7c5PgCY2tkTU0ofpZRuAb4OHNjBOaNTSs0ppeZBgwYVEUeSJEnqGV2W45TSZOB1YIO5xyJidbJZ43FF/jmLAJ/rTkBJkiSpUordrWI0cHxErBYR/YBRwF0ppVfbnhgRu0bEehGxSEQsHhEHAVsCd5UtdQNpWvbj9o83VTiIJElSAyi2HJ8F3A48BbwF9Ab2BoiI4RExfb5zPwPcRLYm+W3gAGDPlNI95QrdSFq/tjtpmWVJU6eREp88WlvzTiZJklR/IqWUd4ZPNDc3p5aWlrxjVI9nnoH114dTT4WTT847jSRJUt2IiDEppea2x719dDU7/XTo2xcOPzzvJJIkSQ3BclytXngBbrghK8bLLJN3GkmSpIZgOa5WZ5wBSywBRx2VdxJJkqSGYTmuRuPHw7XXwiGHgHs/S5IkVYzluBqdeSb06QPHHpt3EkmSpIZiOa42r78OV14JBx0En/lM3mkkSZIaiuW42px9NkTAD3+YdxJJkqSGYzmuJv/5D1x+Oey7LwwZkncaSZKkhmM5ribnnguzZsGPfpR3EkmSpIZkOa4WEyfCJZfAXnvB6qvnnUaSJKkhWY6rxS9/CR9+CCeemHcSSZKkhmU5rgbvvw8XXgi77w5rrZV3GkmSpIZlOa4G558P06bBj3+cdxJJkqSGZjnO29SpcN55MGwYfPGLeaeRJElqaJbjvF18cbas4qST8k4iSZLU8CzHefrgA/j5z2HbbaG5Oe80kiRJDc9ynKfLLsu2cHPWWJIkqSpYjvMyY0Z2q+jNN4dNN807jSRJkoBF8g7QsH73u+x20VdfnXcSSZIkFThznIeZM+Gss2CTTWCLLfJOI0mSpAJnjvNw1VXw+uvZ7aIj8k4jSZKkAmeOK23WLDjzTNhgg2yXCkmSJFUNZ44r7Q9/gJdegptuctZYkiSpyjhzXElz5sDpp8MXvpDdEU+SJElVxZnjSrr5ZnjhBbjuOujl9yWSJEnVxoZWKSnBaafBmmvC7rvnnUaSJEntcOa4Uu64A8aOhSuugN69804jSZKkdjhzXAlzZ41XXRX22ivvNJIkSeqAM8eVcO+98MQTcOml0KdP3mkkSZLUAWeOK+G002CllWDfffNOIkmSpE44c9zTHnwwe5x/Piy2WN5pJEmS1AlnjnvaaadBUxMceGDeSSRJktQFy3FPeuIJuOceOO44WGKJvNNIkiSpC5bjnnTaabDssnDwwXknkSRJUhFcc1xGgwfDhAnzH7kdgKbPQmtrLpEkSZK0EJw5LqNPF+Ouj0uSJKm6WI4lSZKkAsuxJEmSVGA5liRJkgosx5IkSVKB5biMmppSB8crHESSJEndYjkuo9Zf30wiSDffQkp88nAbN0mSpNpQVDmOiN4RcU5ETIyIaRFxY0QM7ODc7SPibxExKSLej4iHImKz8sauUhdcAKusAjvumHcSSZIkdUOxM8cnAMOAjYCVCseu6uDcZYALgM8Cg4BrgTsjYuUScla/cePg/vvhsMOgd++800iSJKkbii3HI4BRKaWXU0pTgJHAthGxStsTU0rXpJRuTilNTinNSildDEwHNixf7Cp0wQWw5JLwve/lnUSSJEnd1GU5jogBwBBgzNxjKaXxwFRgaBHPXw8YCDzbwftHRERLRLRMnDix2NzV5d134eqr4bvfhWWWyTuNJEmSuqmYmeO+hbdT2hyfDPTr7IkRsTxwI3BuSunF9s5JKY1OKTWnlJoHDRpURJwqdPnlMGNGtqRCkiRJNauYcjyt8LZ/m+MDyGaP2xURKwD3AXcDP+pWulowaxZcdBFsuSV84Qt5p5EkSVIJuizHKaXJwOvABnOPRcTqZLPG49p7TkSsCjwE3JlSOiyl1P4GwPXg1lvhjTfgiCPyTiJJkqQSFXtB3mjg+IhYLSL6AaOAu1JKr7Y9MSLWAh4GrkspHVe2pNXq/PNh1VVhhx3yTiJJkqQSFVuOzwJuB54C3gJ6A3sDRMTwiJg+37nHAysCR0XE9Pkew8uYuzo88ww8+KDbt0mSJNWJqKYVD83NzamlpSXvGMU78EC47jp48013qZAkSaohETEmpdTc9ri3j+6uSZPgmmvcvk2SJKmOWI67a+72bYcfnncSSZIklYnluDvmbt/2jW/AuuvmnUaSJEllskjeAWrSLbdk64wvuijvJJIkSSojZ4674/zzYbXV4FvfyjuJJEmSyshyvLDGjoWHHnL7NkmSpDpkOV5YF1wASy4JBxyQdxJJkiSVmeV4Yczdvm2ffWDAgLzTSJIkqcwsxwvjssvgo4/cvk2SJKlOWY6LNXMm/PrXsNVWsM46eaeRJElSD3Art2LN3b7t17/OO4kkSZJ6iDPHxTr/fFh9ddh++7yTSJIkqYdYjovx97/Dww+7fZskSVKdsxwX44ILYKmlYP/9804iSZKkHmQ57srEiXDttW7fJkmS1AAsx12Zu33bYYflnUSSJEk9zHLcmbnbt229tdu3SZIkNQC3cuvMzTfDW2/BJZfknUSSJEkV4MxxZ84/H9ZYw+3bJEmSGoTluCNjxsAjj2RrjXv5YZIkSWoEtr6OuH2bJElSw7Ect+edd+C662DffaF//7zTSJIkqUIsx+257DL4+GO3b5MkSWowluO25m7f9s1vwtpr551GkiRJFeRWbm3ddBO8/TaMHp13EkmSJFWYM8dtzd2+bbvt8k4iSZKkCrMcz6+lBR59FA4/3O3bJEmSGpANcH5zt2/bb7+8k0iSJCkHluO53nkHrr8+K8Zu3yZJktSQLMdzjR7t9m2SJEkNznIM87Zv22YbWGutvNNIkiQpJw27ldvgwTBhwtzf9QHehv9A02Bobc0xmCRJknLTsDPH84pxccclSZJU/xq2HEuSJEltWY4lSZKkAsuxJEmSVGA5liRJkgoathw3NS3ccUmSJNW/ht3Kze3aJEmS1FbDzhxLkiRJbVmOJUmSpIKiynFE9I6IcyJiYkRMi4gbI2JgB+euGBG3RsRrEZEiYu/yRpYkSZJ6RrEzxycAw4CNgJUKx67q4Nw5wN3AXsCbJaWTJEmSKqjYC/JGAD9NKb0MEBEjgZciYpWU0mvzn5hS+g9wUeG82eUMK0mSJPWkLmeOI2IAMAQYM/dYSmk8MBUYWmqAiBgRES0R0TJx4sRSh5MkSZK6rZhlFX0Lb6e0OT4Z6FdqgJTS6JRSc0qpedCgQaUOJ0mSJHVbMeV4WuFt/zbHB5DNHkuSJEl1octynFKaDLwObDD3WESsTjZrPK7nokmSJEmVVexuFaOB4yNitYjoB4wC7kopvdreyRGxeEQsDgTQp/D7hr0bnyRJkmpDseX4LOB24CngLaA3sDdARAyPiOltzv+w8BgC/Lbw65PKEViSJEnqKZFSyjvDJ5qbm1NLS0veMSRJklTnImJMSqm57XFvHy1JkiQVWI4lSZKkAsuxJEmSVFBVa44jYiLwWpcnlt9AYJJjOqZjOqZjOqZjOqZj1vyYxVolpbTAHeiqqhznJSJa2luQ7ZiO6ZiO6ZiO6ZiO6Zi1NWapXFYhSZIkFViOJUmSpALLcWa0YzqmYzqmYzqmYzqmY9bFmCVxzbEkSZJU4MyxJEmSVGA5liRJkgoauhxHxP9ExEMRMTUiZpVhvFER8XxhvLcj4rKIWLYM454eEa8Uxn0nIm6IiCGljlsYu1dEPBoRKSJWKmGcKyJiZkRMn+/xgzJl3CoiHi+MOSkifl3CWM+3yfhh4e++QYkZB0fEHyJiYkS8HxF/i4ihJY65XERcGRGtETElIq6NiGUW4vmd/v+OiG0LH48PI+K5iPhmKWNGxIoRcWtEvFb4mO5das6I2L7wsZxU+Lg+FBGblTjmZhHxdES8V/i4Ph0Ru5QyZpvzDin8/U8qMefmhXHm///6aKk5I2L5wv+rdwvnjI2IFUrIeWKbjNMLuc8vMedxETE+IqZFxIvFfD4pYsyDI+LfhYx/j4jNixizy8/rEbFPIet/I+KJiPhyKWNGxNCIuLPw2k8R8bVScxYyPlp4HU0qjL9eiWPuHtnnjvcLj4cj4uuljNnOuV1+Liki534RMafN/9HrSs0ZEWtExM2RfR6ZEtnXqT4l5Lykg9fSMSWM2btwzhuF19KzEbFbiR/P3hHxk8h6yfTCa+6LnY1ZeF6nXWZhX0c9KqXUsA9gG2BP4ABgVhnGOwP4EtAHGATcCdxWhnHXAvoXfr0k8Avg0TJ9DI4F7gUSsFIJ41wBXN4D/0abA5OB3YDFgMWBDco4/unA82UY5ybgHmAZYFHgbOANCuv6uznmHcCNQF9gWeAu4E8L8fwO/38DqwP/BfYu5B0OfACsWsKYnwEOBTYt/N33LkPO4cC3gQHAIsAhwHRg5RLGXB5YBYjC4/8VPhZrd3fM+c5ZBXgJGAecVOLfffPufF7qYszFgWeBy8g23u8FrAv0K/XvPt+5awJzgK+UkHOnwv/HjQu/36Tw+61LGHN3YCKwPtAbOLgw5pAuxuz08zrwtcI43yT7HDUSmNDZx7SIMdcGDgKayT43f62If/euxjwU2BpYqpDzdOA/wJIljLky8JnCr3sB3yl8LAZ0d8z5zvtK4XX0Nl18Liki537ASwv5OupqzEGFbKcA/Qv/p5qBXqX+3ec7f2tgJrBCCTmPKOT8PNnnu52Bj4G1Shjzh8C/yL6OLFo4/z9A3y4+ph12GbrxOurJR8X/wGp80M0vQkWMuy0wtcxjLgWcC7xbhrHWBMaTfbGo1nL8GHBWD/27L1J4QR9RhrHGASPm+/3nCx/TgSX8O88Bhs537OuFMTv9Yt7OWAv8/wZOBR5qc+wh4H+7O2ab979KkeW42DHnO68V2KVMOXsVPinPAHYsdUyybzT3AO6niHLcxb9RSZ+XOhjz+2TfuPQp15jtnHMuMKbEnMfQZgKg8LnguBLG/D/gl22OvQKcvJAfg099XgeuBK6a7/cBvA7s290x27yvqHK8MGMW3r94YeyiJxu6yNkb2LUw5nqljElWjp4l+6aoO59L2v4b7cdCluMixjwTeLycY7bz/huAm0rMeT5wbZtz/gPsVsKYTwJHzvf7PmSFe5+FGPNTXaYcr6NyPhp6WUUFfAN4phwDRcReETGFbNbsSLLvVksZrxfwW+A4spnZctg1sh9V/zsizomIpUsZLCKWIps9WCSyH31Pioj7I6Jcd9LZmew7/t+XYaxzyP7+gyJicWAE8HBKqbu3xIz5HnPNfb2u3/2YnxgKjGlz7OnC8apV+DHwQLIvnKWONRn4iOybgieAu0sc7/vABymlP5SabT69Cz8ObY2IO6LEpTrAFsCLwBWRLav4Z0QcXYacAETEYmRF5NISh7oe6BcRm0a29Gszsm/m/1JKPD79epp7bGFfT20/r3/qtZSyr+x/Z+FeS2X7WrEQY36D7CcmL5YyZkQMKbyWPiYrc9enlBbm9dlezlOAv6WUHluIcboac+XC6+iNiLg+IlYrccwtgDcKr8v3ImJcRAwvQ04gW6oHDAMuKXHMy4AvRMQ6heUQu5FNDD1Ywpjdfi110mXK8Toqm0Xy+EMbQUTsSvZju6+XY7yU0rXAtYUXzPcovRwcCbSmlG6OiFVLHAvgAuB4sh9brg38juxFuWcJYy5DVgj3BLYD/klW5v8cEWumlEot9d8H/lCGcQAeAfYF3gFmk83ObdfdwVJK0yPifuCUiNiP7DvzEwvv7ldS0kxfYEqbY5PJfsRelSJiebJlJuemlBbmC3q7UkoDCmVuO7KZ/m5fd1BYN3cSsHGpuebzT7IvNs8DS5O9vv4WEeullN7u5pgDyb6oHwXsD3wR+EtEvJNSuqYMmXcj+zHrtSWO8w5Z0bqPed8UHpVSeq6EMf8E/Dwirib7Qv99YAjZMpiidPB5vaPXUlGv03J/rShmzIhYk+xz9LEppWmljJlSeh0YUJjM2J1s1rfbOQuTH7vTzUmADnI+CKxH9m+9PHAWcE9EDE0pfdDNMQcCG5L9pGgY2evq9oh4LaX0cDfHnN/3yGZO7+lqrC7GfJlsAuA5sp9GfgR8N6X0Tglj/gk4NCLuIPtadyrZTw66/D/fSZcp6XVUdnlMV1fbgzIvqyB7Yb8HbNFDeZcn+65r2W4+/7PAm8Dgwu9XpcRlFe38GZuSrZVarIQx+hdynTbfsQDeB7YvMd8aZJ8oNirD37UX2SegX5O9kBcFDiT7RqGphHFXBP5A9iOwV4DDCh+PbRdynAX+fwO3/P/2zjzYjqIK478vCZiwhkJRIMEkEoEgbkCJIKKgQmGhlhLBBQxCSlQQN1CkwA0olL1MqWiCUhpFQMEFRS0BRQPuQIAiooQtKJBIdgQixz9OPxwv992Zu4Qk5vtVTb07Mz1fb9M9Z7pPzwPOazl2Pg2n8OraDAN2qwC2IY3EGXThx920bQM/Bt7TR3n+rHo9A3CrGCbcHcCRfaTzcuC+lmPnAZcMqN5/BXxpAPfnp4G/AFNKm9+ZdAHrJ+8iXzDmAYuAWaXeLm6o2bZfB24kDffqse8D5/Sq2RKmK7eKOs1SpguAEwal2RL2NmD/XjTJvnNu9fpu+pKm6SQHG1YC+/VR738mZwerx64APj+AOhpR8v2xfuuIdFeYQ66HGAHsSb58vq4PzWeQ62rmF60zyP65KxdIKrZMP+1odWx2qxgwko4gpxQPiohrVlM0o0h/nY4rzDvwCtLJ/hZJC8npdICbNaAvTJCGJzx16qUxEbGE7CCi9VSbY93yHuCmiPhtnzqQDXsi8IWIWBoRj0XETLIjenmvohGxICIOiYitI2Ii2RH9C7hhAGm+CWj9QsdLGPzUbt+UmY3rgJ9ExDFRes0BMwqY3Mf1rwVOL64/C8mXwxMlXTeQ1P2XJ+ijTZEPoHbl13eZSpoC7E3308Dt2BW4PCJui+RW0vA4qFfBovO5iNghIrYkF3fuTL7IdKSmX/+ftiRpaHq5Y1taHc+KOk3lV3muJY2Yzw9Csw21bamD5jZkncyutKXxwJckdZzZ6DKdQ8+Qjm2pRrOnttQwnQeQC5wv7KTVUHNX0pf37oh4IiLmkP3pgb1qRsSjEXFCREyMiK1I3+FJNGhLLVRtmZ7a0WpjTVjka8tGTgOMJldHriq/R9PjFwbIVaGLgN0HmMYR5IjhVmV/HDn6Mx8Y1aPmRkVnaNuDbNC7AZv0qHkoZYUy2THOAb47gPwfT45yTyEb0gnkSOrmfWhuSL7tNhopbKg5j3Qt2bik892kD96kPjR3IA3vEeT03R00XDBXrh/2/iZHzleSLisblL9NvlbRsc1U9u8mp+1H192nNencsdT/qU3z3UDzLeQU66hybHoJU/clhE6a41q268mRlY4zBzWa+5KzPCNIt4pPkdOMdV/q6KT53FLv7y/hXkTOcBzST72XMOcD1w+ojk4k29TkEnYncuT45D40Ny86IgcHZpGjnGNqNDv26+Rgw3LSL3ND0vWr7msVdZqqpD3KvTAaGNmH5l7krNv0LuqoTvPwyj26KXAK+QI/pRfNUn+tbele4Fhgyz7S+fqiJbJPvYDso4Z93jXQ3IOcHX1Tyf+rS9t6ea+alXDfB749oDq6APg1sG3Zf1kJf1gfms+hPCvIl5cfAVfTwXaixpbppR2tzu1pj3Bt2siFI9Fmm9CjXpTGsry69ZnGEeSU74Ok8bIAmA08b4DlMIH+v1ZxLTn9sqLc7OcM4qYundlnyC8ULCZ9EF/cp+ahwNJOHWMPmjuVDmIh6Tf1R+CNfWpOJ18EhhbNHNfl9R3vb3J04lbgkfK3yTRbnWa7c5/qVZP0i4zWNgW8ow/NY0p5Li/37PXA1H7z3qY9NPmUW6d0foh8gK8g2/9VNHjxblBHryKnhFeUcnj/ADTHkIbXuwZxf5IPyzPImaPlpO/l2dR8ZaNGczzpdzlU79+ggdsTDfp10ki8k2xLvwN27UeT//bJrdu0PjSvIWceWtvS3n1onlq5Rx8CfkGNq0KT8mwJfxf1n3KrS+eZ5OfMVpB96mXA8wdQ71PJl7gV5d7q2I801NyWfLHbp2E7qsv7ZuRszgJgGel3/Yk+NXcj+46VpAE7g5rnKQ1sGbpsR6tzGxrtMcYYY4wxZr3HPsfGGGOMMcYUbBwbY4wxxhhTsHFsjDHGGGNMwcaxMcYYY4wxBRvHxhhjjDHGFGwcG2OMMcYYU7BxbIxZL5F0saQZyX186AAABg9JREFUT3OcV0v6wNMZ59qCpKMl3dJF+NVaVpJGSQpJe6yuOIwx6yaj1nQCjDHrN5KWV3afUf4+OnQgIjZpoHEDcFlEnDXg5A2UiNh3TadhXcFlZYxZU9g4NsasUarGr6SZ5L+bnrbmUjR4JG0QEY+v6XQYY4ypx24Vxpi1HklbSfqWpAck/V3SLEljy7mZwO7AaZKWS7qpHD9A0u8lLZb0oKTZkrZsGN9Hymh09diOklZJ2qbsz5a0QNIySbdIOrgS9oCSliMlzSf/ZS2SbpD00Uq4JhrvlDRf0pJSBhtVwjxb0kWS7pO0tOR3Ujm3iaTzJd0laZGkKyVN6JBnSXqfpFtLXH+Q9OrK+Usl/VCSyv7+JdwOlbydKemqku65kl7TIb7DS5ilpQxmSBpTOf9kWZWyD0lvl3R7ueYnkraqhO+YX0mbl/J+uNTJ24ZLmzFm/cbGsTFmXeAS0uXi+cAuwHbALICIOAr4PXBSRGwSES8q1zwCHA08E3gJMAlo6nbxTWBXSTtWjh0B/DQi7i/71wAvAMYCZwKzJW1fCb8R8ErghSW97ajTGAPsBewM7ATsCbwXQNJI4MfAhiV/Y4HpwIpy7UUl3t2BrYG5wA/Kde04BvgA8FZgC+DUEv655fyRwI7A8ZK2Bb4BHB0R8yoa04EzSlrOLddvO0x8i4CpJey+wP7ACcOEHeLgUgbbkfV6cuVcXX6/CIwj76GXAofUxGWMWU+xcWyMWaspI6H7AB+MiCURsRD4KPBmSVsMd11E/DIi/hgRqyJiAXA2sF+TOCPiAdLwPKKkYSRwGHBhJczMiHg4Iv4dERcBd5DG8JNJB46PiGURsXKYeOo0RgAfi4iVxSj/IbBbObcXMAWYHhEPRcQTEXFjRDwgaRzwZtJ4fSgiHgNOAiaThnQ7jgNOiYhbi9YVwA2kAUtELC2/TwauAr4bEd9u0bg0Iq4tZX4hcBvDGKERcWVE3F7imgdcQH39fDIi/hkRi4GLh8qiLr+SNizp+EQ5/zBwYk1cxpj1FBvHxpi1nfHAqoi4t3Lsb5VzbZG0h6SfF1eMpcDXgWd1Ee/XgMOKYXwAsAHwg6I9UtLpkv5SXAsWk6OqVf1HIuLBDulrorGiGKVP7gOblt8TgPsjorqgcYiJ5e+84laymByphTaj2MVVYgIwayh8uWZPcrQVgIi4EZhDGuWntYn3rjb7454aDCQdKOk3kh6StAT4DPX18/fK72pZ1OV3a2BkS/rm18RljFlPsXFsjFnbuRcYVUYHh5hUOQfwRJvrLgV+A2wfEZsB08jR3KZcSS5a3r9cO7uyqG4a8E7gjcAWETEWuL1Fv12aqjTR6MRdwDaSNm5z7m4ggO0iYmxlGxMR32sNHBEB3AO8vSX8xhHxwaFwko4i3UCuAGYO+R9XmNBm/77W+Eqav0e+gIyPiM2BU+iufrrJ7z/I+qimrzWtxhgD2Dg2xqzlRMSdwK+AcyRtplxUdyZweZkehzR+Jg9dU4y2TYElEbFM0kTg+C7jfZz0Pf4w8AYqLhXAZsDjwEJgpKT3kqO+3dCvxhzSmL5A0jMljZD0YknPjoh7gMuBL0vaGkDSFpIOljR6GL1zgc9K2qUszhsjaR9Jk8v1LyxhDgXeRRqXra4JUyW9UvkN4WnkCPMlbeIaTfpK/zMi/iVpF9I/vCfq8hsRj5Z0nFrKaiztR76NMcbGsTFmneAQcuTvDuAW4H5ygdgQZwF7ly8R/KmMhB4FHKv8jvLFwHd6iPdrpB/s3Ii4uXJ8JnAzcCc5ej0e+G2X2n1pRMQq4MCyOxdYDHyFXAgIacDeC/xa0jLgRnKUOoaRnFG22UXrbuDj5Kj9puRI/GkRcV1x5ZgKnCip6iP9VdLXdzH5MvKmiHjKyHFELAKOBWaUtJ0LfKtp3oehLr/vAx4A/lrOXdZnfMaY/1OUzxBjjDGmd7SO/CMWY4ypwyPHxhhjjDHGFGwcG2OMMcYYU7BbhTHGGGOMMQWPHBtjjDHGGFOwcWyMMcYYY0zBxrExxhhjjDEFG8fGGGOMMcYUbBwbY4wxxhhTsHFsjDHGGGNM4T+xk5P4R87GoQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(principal_components, total_explained_var, 'r')\n", "plt.plot(principal_components, total_explained_var, 'bs')\n", "plt.xlabel('Number of PCs', fontsize=13)\n", "plt.xlabel('Total variance explained', fontsize=13)\n", "\n", "plt.xticks(principal_components, fontsize=13)\n", "plt.yticks(fontsize=13)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.1203391609739997,\n", " 0.21594970488118143,\n", " 0.30039385335169233,\n", " 0.3653779300693527,\n", " 0.41397941756324086,\n", " 0.45612061823627686,\n", " 0.49552971836300835,\n", " 0.5293112409898244,\n", " 0.5593807892020154,\n", " 0.5886938200942027]" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total_explained_var[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "전체 분산의 해석 증가 폭이 감소하기 시작한 시점은 주성분이 대략 10개 정도일 때임을 알 수 있습니다. 그리고 전체 분산의 80%가 설명가능한 시점은 주성분이 대략 20개 정도일 때임을 알 수 있습니다. 따라서 적절하게 선택을 하면 됩니다." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 5. SVD를 이용하여, PCA를 구해보기" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from sklearn.decomposition import TruncatedSVD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (1) SVD를 이용\n", "SVD를 이용하면 $X$의 공분산 행렬($X^TX$)에 대한 고유벡터를 구할수 있습니다." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "number_of_eigenvectors = []\n", "total_explained_var = []" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "for i in range(max_pc):\n", " pca = TruncatedSVD(n_components=i+1, n_iter=300)\n", " reduced_x = pca.fit_transform(scaled_x)\n", " variance = pca.explained_variance_ratio_.sum()\n", " number_of_eigenvectors.append(i+1)\n", " total_explained_var.append(variance)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (2) 최적의 주성분 개수 찾기" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([0. , 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. ]),\n", " )" ] }, "execution_count": 26, "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(principal_components, total_explained_var, 'r')\n", "plt.plot(principal_components, total_explained_var, 'bs')\n", "plt.xlabel('Number of PCs', fontsize=13)\n", "plt.xlabel('Total variance explained', fontsize=13)\n", "\n", "plt.xticks(principal_components, fontsize=13)\n", "plt.yticks(fontsize=13)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0.12033916097734888,\n", " 0.21594970500832747,\n", " 0.3003938539345724,\n", " 0.3653779330098139,\n", " 0.413979481769478,\n", " 0.4561206804621972,\n", " 0.49554150849787076,\n", " 0.5294353177442546,\n", " 0.5594175278605059,\n", " 0.5887375533730284]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "total_explained_var[:10]" ] } ], "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": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }