{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Майнор по Анализу Данных, Группа ИАД-2\n", "## 15/02/2017 Линейная регрессия, градиентный спуск" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "%matplotlib inline\n", "\n", "plt.style.use('ggplot')\n", "plt.rcParams['figure.figsize'] = (12,8)\n", "\n", "# Для кириллицы на графиках\n", "font = {'family': 'Verdana',\n", " 'weight': 'normal'}\n", "plt.rc('font', **font)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "code_folding": [], "collapsed": false }, "outputs": [], "source": [ "try:\n", " from ipywidgets import interact, IntSlider, fixed\n", "except ImportError:\n", " print u'Так надо'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Постановка задачи" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Дано описание $n$ объектов по $m$ признакам. Обычно оно выражается в виде матрицы размера $n \\times m$: $X = [x^{(i)}_j]^{i=1\\dots n}_{j=1\\dots m} $. ($x^{(i)}_j$ означает $j$-ый признак $i$-го объекта) \n", "Дана **вещественная** зависимая переменная, которая тоже имеет отношение к этим объекам: $y \\in \\mathbb{R}^n$.\n", "\n", "Наша задача, выявить **линейную** зависимость между признаками в $X$ и значениями в $y$:\n", "$$\\hat{y} = X\\beta \\quad \\Leftrightarrow \\quad \\hat{y}^{(i)} = \\beta_0 + \\beta_1x^{(i)}_1 + \\dots$$\n", "То есть необходимо оценить коэффициенты $\\beta_i$.\n", "\n", "В случае линейной регрессии коэффициенты $\\beta_i$ рассчитываются так, чтобы минимизировать сумму квадратов ошибок по всем наблюдениям:\n", "$$ L(\\beta) = \\frac{1}{2n}(\\hat{y} - y)^{\\top}(\\hat{y} - y) = \\frac{1}{2n}(X\\beta - y)^{\\top}(X\\beta - y) \\rightarrow \\min$$ $$ \\Updownarrow $$ $$ L(\\beta_0,\\beta_1,\\dots) = \\frac{1}{2n}\\sum^{n}_{i=1}(\\hat{y}^{(i)} - y^{(i)})^2 = \\frac{1}{2n}\\sum^{n}_{i=1}(\\beta_0 + \\beta_1x^{(i)}_1 + \\dots - y^{(i)})^2 \\rightarrow \\min $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Пример: Стоимость автомобиля" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загрузите [тренировочные данные](http://bit.ly/1gIQs6C) и [тестовые данные](http://bit.ly/IYPHrK) по характеристикам автомобилей Honda Accord. Названия столбцов говорят сами за себя." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "df_train = pd.read_csv('http://bit.ly/1gIQs6C')\n", "df_test = pd.read_csv('http://bit.ly/IYPHrK')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Выберем одну переменную mileage в качестве предиктора, а переменную price в качестве зависимой переменной" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " price mileage year trim engine transmission\n", "0 14995 67697 2006 ex 4 Cyl Manual\n", "1 11988 73738 2006 ex 4 Cyl Manual\n", "2 11999 80313 2006 lx 4 Cyl Automatic\n", "3 12995 86096 2006 lx 4 Cyl Automatic\n", "4 11333 79607 2006 lx 4 Cyl Automatic" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_train.head()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Tk4k7Dw3Kb5m6aVWNNjTR2wkAAOQ3khBAnnEcR4YcWYYkx+G5KJDnQrapR7f3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\nSHd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df_train.plot(x='mileage', y='price', kind='scatter', s=120)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.linear_model import LinearRegression" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Обучим модель" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "model = LinearRegression(fit_intercept=True)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = df_train.loc[:, ['mileage']].values\n", "y = df_train.loc[:, 'price'].values" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.fit(X,y)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Модель:\n", "price = 16762.02 + (-0.05)*mileage\n" ] } ], "source": [ "print 'Модель:\\nprice = %.2f + (%.2f)*mileage' % (model.intercept_, model.coef_[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Нарисуйте предсказание модели вместе с данными на плоскости" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fPn06EP7UanW3Jtc2m83saRMB/wIkDtZVHKyrOFhXcUSjrm63AhaLGlarDHq9AKPR1ecH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\nKu12VVVVv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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, max(X), 100)\n", "y_line = model.intercept_ + model.coef_[0]*x\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(10,5))\n", "ax.scatter(X, y)\n", "\n", "ax.plot(x, y_line, c='red')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Остатки и меры качества" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Давайте взглянем на ошибки (остатки)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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1ffWrX5UkXXXVVQqFQlq9erWCwaCqq6u1ZMmShIVCAQAAJOnll19O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\nnE41DAbA6wVWrRIwf74WjY2RIE6thuQ50movBQtSVVdLl5qwZYsbfX1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OxRJGV8bF2xh0CUqLcHPY8sKfYokqp4YgPAoIqIiIiIiHKAU/+IiIiIiIiIiEgRGFQRERERERER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\nMXz4cAQFBeHGjRs4d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(14, 5))\n", "\n", "y_hat = model.predict(X)\n", "res = y - y_hat\n", "ax[0].hist(res)\n", "ax[0].set_xlabel('residuals')\n", "ax[0].set_ylabel('counts')\n", "\n", "ax[1].scatter(X, res)\n", "ax[1].set_xlabel('mileage')\n", "ax[1].set_ylabel('residuals')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Важно смотреть на остатки.
\n", "Во-первых, они должны быть нормально распределены (Теорема Гаусса-Маркова).
\n", "Во-вторых, не должно быть ярких зависимостей между значениями признака и остатками.
\n", "Ну и там на самом деле много условий\n", "\n", "Посмотрим на меры качества" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.metrics import mean_absolute_error\n", "from sklearn.metrics import median_absolute_error\n", "from sklearn.metrics import mean_squared_error\n", "from sklearn.metrics import r2_score" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно посчитать простые варианты агрегирования остатков, например:\n", "\n", "* $\\frac{1}{n} \\sum_i |\\hat{y}^{(i)}-y^{(i)}|$ - средняя абсолютная ошибка\n", "* $\\frac{1}{n} \\sum_i (\\hat{y}^{(i)}-y^{(i)})^2$ - средняя квадратичная ошибка" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Средняя абсолютная ошибка 1182.21\n", "Средняя квадратичная ошибка 2412292.55\n" ] } ], "source": [ "print 'Средняя абсолютная ошибка %.2f' % mean_absolute_error(y, y_hat)\n", "print 'Средняя квадратичная ошибка %.2f' % mean_squared_error(y, y_hat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Можно рассмотреть более сложную меру: коэффициент детерминации $R^2$:\n", "\n", "* $TSS = \\sum_i (y^{(i)}-\\bar{y})^2$ - общая сумма квадратов (total sum of squares)\n", "* $RSS = \\sum_i (\\hat{y}^{(i)}-y^{(i)})^2$ - сумма квадратов остатков (residual sum of squares)\n", "* $ESS = \\sum_i (\\hat{y}^{(i)}-\\bar{y})^2$ - объясненная сумма квадратов (explained sum of squares)\n", "\n", "Для простоты будем считать, что\n", "$$TSS = ESS + RSS$$\n", "\n", "Тогда Коэффициент детерминации $R^2=1-\\frac{RSS}{TSS}$\n", "\n", "Рассчитайте его для нашей модели\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.43096955626446265" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "r2_score(y, y_hat)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Преобразование переменных" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Нормализация" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Как мы с вами убедились из ДЗ2, может решить всё)\n", "Переход к близким или единым шкалам улучшает сходимость градиентного спуска, уменьшает риск переполнения разрядности чисел, однако приходится жертвовать прямой интерпретируемостью..\n", "\n", "Нормализацию обычно проделывают для вещественных признаков.\n", "\n", "Нормализация z-score:\n", "1. Вычитаем среднее: $x - \\bar{x}$\n", "2. Делим на стандартное отклонение: $\\frac{x - \\bar{x}}{std(x)}$\n", "\n", "Можно проделать вручную, можно с помошью метода ниже" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/andrey.shestakov/anaconda2/lib/python2.7/site-packages/sklearn/utils/validation.py:429: DataConversionWarning: Data with input dtype int64 was converted to float64 by StandardScaler.\n", " warnings.warn(msg, _DataConversionWarning)\n" ] }, { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "scaler = StandardScaler()\n", "X = scaler.fit_transform(X)\n", "\n", "model = LinearRegression(fit_intercept=True)\n", "model.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Модель:\n", "price = 12084.24 + (-1351.67)*mileage`\n" ] } ], "source": [ "print 'Модель:\\nprice = %.2f + (%.2f)*mileage`' % (model.intercept_, model.coef_[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Природа зависимости" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Далеко не всегда переменные зависят друг от друга именно в том виде, в котором они даны. Никто не запрещает зависимость вида\n", "$$\\log(y) = \\beta_0 + \\beta_1\\log(x_1)$$\n", "или\n", "$$y = \\beta_0 + \\beta_1\\frac{1}{x_1}$$\n", "или\n", "$$y = \\beta_0 + \\beta_1\\log(x_1)$$\n", "или\n", "$$y = \\beta_0 + \\beta_1 x_1^2 + \\beta_2 x_2^2 + \\beta_3 x_1x_2 $$\n", "и т.д.\n", "\n", "Не смотря на то, что могут возникать какие-то нелинейные функции - всё это сводится к **линейной** регрессии (например, о втором пункте, произведите замену $z_1 = \\frac{1}{x_1}$)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Пример: Вес тела - мозгов" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загрузите [данные](https://www.dropbox.com/s/837utfb6yh4x8xb/weights.csv?dl=0) и информацией о весах мозга и тел различных биологических видов. Вес тела задан в килограммах, вес могза в граммах." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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body_wbrain_w
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" ], "text/plain": [ " body_w brain_w\n", "species \n", "Mountain Beaver 1.35 8.1\n", "Cow 465.00 423.0\n", "Grey Wolf 36.33 119.5\n", "Goat 27.66 115.0\n", "Guinea Pig 1.04 5.5" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('weights.csv', sep=';', index_col=0)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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RERERcSiFESIiIiIiIiLiUAojRERERERERMShFEaIiIiI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot(x = 'body_w', y='brain_w', kind='scatter')\n", "for k, v in df.iterrows():\n", " plt.annotate(k, v[:2])\n", "# Должно получится что-то несуразное.." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Теперь давайте возьмем логарифм от обеих переменных и сонова нарисуем их на графике" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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AyAa/IgAAkAfZmyyqXLSAZrauqGtpmSroaCcXB2VZTA8AAEAi3AMAkGfZmyxy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NAAAg\nAElEQVRdkZGRioyM1KJFi/TnP/9ZISEhGj9+vL744gu1adPG5Rn7wMDAy+4nIyNDcXFxzuXffxXe\nqVOndOjQITVv3rzM7X18fFRUVHRtBwkAAACPRbgHgOtU4jBp94mzmr75iApLHPIxm+R7tkTev/mW\nulatWumVV17RyJEjFRISooYNG+rTTz9Venq6AgMDtWPHDqWmpiooKMhl7G+//Vbbt29XYGCgPv/8\nc61du1bLly939jscDn366afy8vLSmTNnNGvWLNWvX19dunQps9bGjRtrxYoVat68uU6ePKnOnTvf\niFMCAACAm4xwDwDXKb9YzmAvSYUlDu3PyldcgOuTTz169NCxY8f09NNPa+HCherWrZuSkpJkNpuV\nkJCgLl266Ntvv3XZJi8vT48//riOHTumsLAwvfHGG/rjH//o7DeZTNqxY4feffddnT17VrfffrsW\nL14ss9lcZq3PPvusxo8fr/vuu0+1a9fWV199Vc5nAwAAAO5gcvz2TUyVXHZ2tmw2m7vLAFCGgIAA\n5eTkuLuMMmUWODTiwx9Ktc/v1USh1UxlbAFULJ58fQLgGgU8lcViUXBwcLmNxwv1AOA6Vbd4ycfs\nGuJ9zCZVs/BfLAAAAG4OfvMEgOvk5y1NTAh3Bvyq3l6amBAuPx58AgAAwE3Cr54AcJ3MJofiavtq\nQe9oFdjsqmbxkp/3+XYAAADgZiDcA0A5MJsc8rdI/haTJEI9AAAAbi6m5QMAAAAAYHCEewAAAAAA\nDI5wDwAAAACAwRHuAQAAAAAwOMI9AAAAAAAGR7gHAAAAAMDgCPcAKrwxY8bIarVq1qxZpfqGDBki\nq9WqFStW3PS6EhMTNXv27Kva5ujRo6pXr562b99+XfueNWuWrFar809UVJS6deumjz/++LrGBQAA\ngHsQ7gFUeCaTScHBwVq0aJEKCgqc7QcOHND27dtVtWpVN1Z3dUJDQ7V9+3a1bNnyusdq3Lixvv76\na23fvl2rV69W8+bNNXr0aB07dqwcKgUAAMDNRLgHUCnEx8crIiJCixYtcrbNmzdPgwcPlo+Pj8u6\nx48fV1JSkqKjoxUdHa3hw4crOzvb2T9r1iwlJia6bLNw4UK1adPGuTx27Fj9+c9/1t/+9jfFx8cr\nJiZGo0eP1rlz55z9e/bscd5Br1evnn7++WdlZmaqe/fuatasmaKiotShQwe9+eabznHPnDmj1q1b\na9euXZKk999/XzExMVqxYoUSEhLUsGFD3X///frf//532XNisVgUFhYmq9Wqpk2basiQIXI4HC7H\neuzYMQ0bNkyxsbG69dZblZSUpOPHjzv758yZo7Zt2yoqKkrNmjXTX/7yFx08eFCSdPjwYVmtVn3z\nzTcu+3399dfVsWNH5/K+ffs0ePBgNWrUSC1bttQTTzyhvLw8Z7/VatUbb7yhpKQkNW3aVAMGDLjs\nsQEAAFQ2hHsAlcbo0aO1YMECnTt3TpmZmVq3bp2SkpLkcDhc1hsyZIhycnK0dOlSLVmyRCdPntTQ\noUNd1jGZTKXG/33btm3blJubq/fee09///vftWnTJv3jH/+QJE2aNEmNGjXS0KFDnXfPQ0ND5XA4\nlJiYqPfee0+ff/65kpKS9MILL2jdunUXPa68vDx99NFHmjFjhj766COdO3dOTz/99FWdmzNnzujt\nt99W69atdeutt0qSzp49q379+snPz08rVqxQamqq8vLyNHLkSOd2wcHBmjRpktavX6/33ntPeXl5\nGj58uCSpQYMGat26tVauXOmyrw8++MAZ0E+cOKHevXsrNjZWn376qf7+97/ru+++06RJk1y2mT9/\nvu68806tWbNGL7744lUdGwAAQGXg7e4CAOBmSUxM1IwZM7R48WJlZmaqT58+CgwMdFnnn//8p/bs\n2aMdO3YoKChI0vk7za1bt9a2bdvUrl27K97fnXfeqalTpzqXExISnHexAwICZLFY5O/vr7CwMOc6\nYWFheuyxx5zLkZGRSk1N1c6dO9WtW7cy9+Pv76/U1FTn8sCBA68oAO/Zs0dRUVGSpMLCQnl5eWn8\n+PGy2WyqUqWKPv74Y5nNZqWkpDi3mTp1qjp37qxjx44pNDRUAwcOdBlz+PDheuSRR3T27Fn5+vqq\nX79+mjJliqZOnSqLxaLdu3frxx9/VN++fSVJ7777ruLi4jRx4kTnGBMmTNDQoUM1e/Zs5wcmM2bM\nuOjxAwAAgHAPoJJJTk7WtGnTVFRUpLS0tFL9+/fvV926dZ3BXpLq1Kmj0NBQ7du376rC/e/v5AcE\nBOj777+/5DZ2u12LFy/W2rVrdfjwYeXl5SkvL09t27a94v0GBga6TGu/mIYNG+qtt96Sw+FQYWGh\njhw5ounTp+u///2v3nzzTX333Xc6ePCg8wOA3x7X0aNHFRoaqv3792vBggXatWuXfv31V+Xm5kqS\niouLJUn33HOP885+jx49tHLlSnXq1EnBwcGSpN27dys9Pd1lHw6HQ8XFxTp+/LhCQkIkSV5eTDQD\nAAC4FMI9gEqlZ8+eSklJUUJCgkJDQ695nN9P5b8SZU3l/70pU6ZoxYoVSkpK0qhRo1SzZk1NmDCh\n3PcjSVWqVFFkZKRzOTY2ViaTSY8++qjOnDkju92uuLg4zZ07t9TxhoWFKSsrS/fcc49atGihMWPG\nKCwsTPv27dPjjz/uXK9atWrOUH/33Xdr9erVeumll5z9DodDXbt21VNPPVVqHxc+AAAAAMDlEe4B\nVEglDpPyi6UzNruK7NKF3Gg2m7VkyRL5+/uXuV2jRo2UmZmpEydOqHbt2pKkrKwsHTt2TE2aNJEk\n1ahRQ6dPn3bZzm63X3WNPj4+KiwsdGnbsmWLHnnkEZep+Tfzbf55eXny8vKSw+FQTEyMVq9ercDA\nwDLP144dO1RUVKQlS5Y476yfPXu21Hr9+/dX//79tXLlSmeYvyAmJkZr165V/fr15e3NjyQAAIBr\nZejfpHbt2qU1a9bo6NGjOnv2rMLCwtS7d2/ddttt7i4NgBuVOEzafeKspm8+osISh/535LSi/Bwq\ncZhkNjnUoEGDi257++23KzY2VsnJyZo4caIcDodeeuklxcXFOafGt2zZUpmZmVq8eLHatm2rTZs2\nac6cORf9wOBimjRpojVr1qhbt24qKChQixYt1LBhQ23ZskVdu3aVzWZTWlqaMjIy1KxZs+s5JWWy\n2Ww6evSoJOncuXPauXOnZsyYob59+8rPz0/333+/3njjDQ0ePFiPP/64wsLCdPDgQaWmpurVV19V\nVFSUiouLtWzZMrVq1Ur79u3TvHnzSu2ndevWCgsL07PPPquBAwfKbDY7+x588EGlpqZqyJAhGjly\npIKCgrRnzx6tXLlS77zzTrkfMwAAQEVl6IcYDxw4oJiYGI0bN07Tpk1TXFycUlJSdOTIEXeXBsCN\n8ovlDPaSVOKQfjhZoPzistf//TT2t956SwEBARo4cKAGDRqkoKAgLVy40NkfHx+vCRMmKCUlRX36\n9NHu3bvVr1+/q65z7NixqlOnjvr06aPRo0frzJkzmjx5sqpWraqePXtqxIgRMplMio2NvWS912r/\n/v1q27at2rZtq8TERM2dO1cPPPCApk+fLkny8/PTBx98oPDwcI0aNUqJiYmaOnWqIiIiVK1aNcXG\nxmrKlClKSUlR9+7d9c4771z0pXf9+vVTQUGB+vfv79IeFhamjz76SBaLRUOGDFG3bt30yiuvqGXL\nluV+vAAAABWZyXEtD456sFGjRunuu+9W9+7dr3rb7Oxs2Wy2G1AVgOsVEBCgnJycK1o3s8ChER/+\nUKp9fq8mCq1GUATK29VcnwBuPq5RwDNZLJZyfceQoe/c/15JSYnOnDmj6tWru7sUAG5U3eIlH7Nr\niPcxm1TNUqH+ywMAAACcKtRvup988om8vLzUqlUrd5cCwI38vKWJCeHOgF/V20sTE8LlZ+i3jAAA\nAAAXV2F+1d22bZtWrVqlJ554QtWqVXN3OQDcyGxyKK62rxb0jlaBza5qFi/5eZ9vBwAAACqiCvHM\n/aZNm/Tuu+9qzJgxatGixSXXTU9P19atW13a6tSpo4ceekiFhYXX9N3VAG48i8XCOzEAD8X1CXg2\nrlHAM5lMJvn4+Ojtt9/W8ePHXfrat2+vDh06XN14Rg/3y5Yt04YNGzRhwgQ1atTousbihXqA5+Jl\nQIDn4voEPBvXKOCZyvuFeoaelv/qq69q9+7dGjNmjGrWrKns7GxnX3meJAAAAAAAPJmhw/3evXuV\nm5urqVOnlupbvny5GyoCAAAAAODmM3S4f/31191dAgAAAAAAblehvgoPAAAAAIDKiHAPwJDy8/OV\nkpKiO++8U40aNVJ0dLS6dOmiiRMn6j//+c8Vj/PVV1+pXr16+vnnn29gtVfGarU6/zRu3Fh9+/bV\npk2bnP1t2rTR7Nmz3VghAAAAPJXh35ZfnnhbPuC5fvum3+zsbPXq1UvVq1fXX//6V8XExKigoEB7\n9+7VsmXLZDKZtGLFiisat7CwUCdPnlRoaKi8vNz7eafVatXf/vY33X777crJydGyZcv03nvvadWq\nVWrVqpWysrJUvXp11ahRw611Ar/Hm7gBz8Y1Cnim8n5bPnfuARjOxIkT5XA4tHr1anXv3l2RkZFq\n1qyZ+vTpo5UrV+q5555zrmu1WpWWluayfWxsrDP8HzhwQK1bt9axY8ckSbNmzdIdd9yhBQsWqG3b\ntmrcuLEefPDBUr8ULVu2TJ06dVJUVJQSEhL0/vvvO/syMzPVvXt3NWvWTFFRUerQoYPefPPNKzq2\nwMBAWa1WxcXFadq0aQoPD9enn34qSfrLX/6ihQsXOtc9ceKEhg4dqqioKN1666269957ZbValZeX\ndxVnEwAAABWBoV+oB6DyOX36tNLS0pSSkiIfH58y12nWrNlVjWkymVyW9+/fr2+//Vbz58+XzWbT\n6NGj9fLLL2vatGmSpNTUVKWkpGjq1Klq0qSJdu7cqSeffFL16tVT27Zt5XA4lJiYqI4dO8rf31/p\n6el65plnVL9+fXXr1u2qavPy8irzTn1xcbH69u2r8PBwffDBBzKbzVq2bJkyMjKuanwAAABUDIR7\nAIZy6NAhORwOxcbG3rB9xMTE6LXXXnMu33fffS7Pvr/yyit67rnn1L17d0lSw4YNtWXLFn3wwQdq\n27atwsLC9NhjjznXj4yMVGpqqnbu3HnF4f706dOaN2+efvrpJ/Xo0aNU/6pVq3Ty5EmtW7dOvr6+\nkqTu3bvrnXfeuaZjBgAAgLER7gEY0m/v2n/55Zd6+OGHnctt2rRRamrqNY/9+zv5gYGBzqnuOTk5\nyszM1Lhx4zRu3DjnOiUlJWrbtq0kyW63a/HixVq7dq0OHz6svLw85eXlOfsvZfjw4ZKkoqIi1a9f\nX/Pnz1dMTEyp9Xbv3q2YmBhnsAcAAEDlRrgHYCgNGjSQyWRSRkaGGjZsKEn64x//6Hyu/tVXXy31\n5vvrfW/ob8O+3W6XJM2cOVMtWrRwWe9C0J4yZYpWrFihpKQkjRo1SjVr1tSECROuaF/PP/+8OnTo\noFtuuUVBQUEXXc/Ly0tVq1a92kMBAABABUW4B2AIZwttOm0zqaCKvzom3KHXXn9dd999t/z8/OTr\n66uoqChJkr+/v0u4r1Gjhk6dOlVudQQFBSk4OFhHjhxR7969y1xny5YteuSRR1ym5l9pEA8JCVFk\nZORl16tXr54+//xzlza+/AQAAKDyItwD8HglDpO+OvSLpm06pMISh9T2EeXtGa8e99yjUSNHqkWL\nFnI4HDp8+LD+/e9/q0qVKs5tW7ZsqXfffVfNmzfX6dOnNXfu3FJvk7/aUDx69Gi98MIL8vHx0R13\n3KGSkhJ9+eWXstvtGjVqlPMZ/K5du8pmsyktLU0ZGRlX/aK/S+nVq5dmzpyp6dOn6/7779ehQ4c0\nZ86cchsfAAAAxkK4B+Dx8ov1/wd7SaoRpAbJ89Qia6Pmz5+vw4cPSzo/Zb9Lly7q27evc9sXXnhB\n48eP13333afw8HANHTq01Bvlf/+M/eUMGTJE1atX11tvvaVZs2apevXqatasmUaNGiVJmjx5ssaN\nG6eePXsqKChI999//xW9APBydfy2Pzg4WPPmzdPkyZO1YMECNW7cWF26dNF///tflw83AAAAUDmY\nHMzjdMrOzpbNZnN3GQB+J7PAoREf/lCqfX6vJgqtdnXBvCJbtWqVpk2bpp07d7q7FFQyAQEBysnJ\ncXcZAC6CaxTwTBaLRcHBweU2HnfuAXi86hYv+ZhN//+de0k+ZpOqWbwkVd7PJxcvXqwGDRooJCRE\nR48e1Zw5c1xmLQAAAKDyINwD8Hh+3tJTd0Q4p+ZX9fbSk53ry6+S/w/29ddfa8aMGSooKJDValW/\nfv2UnJzs7rIAAADgBkzL/w2m5QOey7d6DWWdyleBza5qFi/5eUtmE/99AZ6AKb+AZ+MaBTwT0/IB\nVEq+Phb5Wxzyt5hUmafiAwAAAGXxcncBAAAAAADg+hDuAQAAAAAwOMI9AAAAAAAGR7gHAAAAAMDg\nCPcAAAAAABgc4R4AAAAAAIMj3AMAAAAAYHCEewAAAAAADI5wDwAAAACAwRHuAQAAAAAwOMI9AAAA\nAAAGR7gHAAAAAMDgCPcAAAAAABgc4R4AAAAAAIMj3AMAAAAAYHCEe+AmmzVrlhITE91dBgAAAIAK\nhHAPXIExY8bIarVq1qxZpfqGDBkiq9WqFStWXPF4JpOpPMsDAAAAUMkR7oErYDKZFBwcrEWLFqmg\noMDZfuDAAW3fvl1Vq1Z1Y3UAAAAAKjvCPXCF4uPjFRERoUWLFjnb5s2bp8GDB8vHx8fZdvz4cSUl\nJSk6OlrR0dEaPny4srOzLzn2smXL1KlTJ0VFRSkhIUHvv//+DTsOAAAAABUP4R64CqNHj9aCBQt0\n7tw5ZWZmat26dUpKSpLD4XCuM2TIEOXk5Gjp0qVasmSJTp48qaFDh150zNTUVM2cOVP/93//p/Xr\n12v48OF68skn9dVXX92MQwIAAABQAXi7uwDASBITEzVjxgwtXrxYmZmZ6tOnjwIDA5396enp2rNn\nj3bs2KGgoCBJ0uuvv67WrVtr27ZtateuXakxX3nlFT333HPq3r27JKlhw4basmWLPvjgA7Vt2/bm\nHBgAAAAAQyPcA1cpOTlZ06ZNU1FRkdLS0lz69u3bp7p16zqDvSTVqVNHoaGh2rdvX6lwn5OTo8zM\nTI0bN07jxo1ztpeUlBDsAQAAAFwxwj1wlXr27KmUlBQlJCQoNDT0usay2+2SpJkzZ6pFixYufb6+\nvtc1NgAAAIDKg3APXESJw6T8YumMza4iu3ThsXqz2awlS5bI39+/1DaNGjVSZmamTpw4odq1a0uS\nsrKydOzYMTVp0qTU+kFBQQoODtaRI0fUu3fvG3o8AAAAACouwj1QhhKHSbtPnNX0zUdUWOLQ/46c\nVpSfQyUOk8wmhxo0aFDmdrfffrtiYmKUnJysiRMnyuFw6KWXXlJcXNxFp9mPHj1aL7zwgnx8fHTH\nHXeopKREX375pex2u0aNGnUDjxIAAABARcHb8oEy5BfLGewlqcQh/XCyQPnFZa9vMpmcf1+0aJEC\nAgI0cOBADRo0SEFBQVq4cOFF9zVkyBBNnz5dH3/8sXr06KEHHnhA6enpatmyZbkeEwAAAICKy+T4\n7Xd4VXLZ2dmy2WzuLgMeILPAoREf/lCqfX6vJgqtZipjC9xoAQEBysnJcXcZAMrA9Ql4Nq5RwDNZ\nLBYFBweX23jcuQfKUN3iJR+za4j3MZtUzcIlAwAAAMDzkFSAMvh5SxMTwp0Bv6q3lyYmhMuPt1QA\nAAAA8EBEFaAMZpNDcbV9taB3tApsdlWzeMnP+3w7AAAAAHgawj1wEWaTQ/4Wyd9ikkSoBwAAAOC5\nmJYPAAAAAIDBEe4BAAAAADA4wj0AAAAAAAZHuAcAAAAAwOAI9wAAAAAAGBzhHgAAAAAAgyPcAwAA\nAABgcIR7AAAAAAAMjnAPAAAAAIDBEe4Bgxs7dqysVqusVqvCw8MVHx+vp59+Wrm5uVc8RmJiombP\nnn0DqwQAAABwI3m7uwAA169Tp06aOXOmioqK9P333+upp57SiRMntGDBAneXBgAAAOAmINwDFYCv\nr6/CwsIkSREREfrf//6nl19+2dn/8MMP69tvv9WpU6dUq1Yt3XnnnZo8ebKqVq2qsWPHas+ePfr+\n+++VkpIik8mk7du3O8cDAAAA4PkI90AFdO7cOdWqVcu5HBsbq6FDhyosLExHjhzRmDFj5OPjoylT\npmjSpEn697//rU6dOunRRx+VJIWGhrqrdAAAAADXgHAPVCAlJSXasWOH3n77bWdQl6QnnnjC+feI\niAj17NlT33zzjSQpICBAFotF/v7+3K0HAAAADIpwD1QAaWlpioqKUlFRkRwOhyZNmqRhw4Y5+zdv\n3qylS5dq7969On36tHJzc9W4cWM3VgwAAACgPPG2fMCAShwmnbaZlFngUJFdate+vT7//HOtWrVK\nNWvW1IEDB5zrpqWl6cEHH1RgYKCef/55paam6oEHHnBj9QAAAADKG3fuAYMpcZi0+8RZTd98RIUl\nDv3vyGlF+VVVeESUIiMjtWjRIv35z39WSEiIxo8fry+++EJt2rTR9OnTnWMEBga6jOnj46PCwsKb\nfSgAAAAAygnhHjCY/GI5g70klTikH04WKL9Y8rdIrVq10iuvvKKRI0cqJCREDRs21Keffqr09HQF\nBgZqx44dSk1NVVBQkHPMJk2aaM2aNerWrZsKCgr0hz/8Qb6+vu46RAAAAABXiWn5gMGcsdmdwf4C\nu0MqsNmdyz169NAzzzyjp59+WvXr11e3bt2UlJSkfv366ZtvvlGXLl1cth87dqzq1KmjPn36aPTo\n0crPz78pxwIAAACgfJgcDofj8qtVDtnZ2bLZbO4uA7ik0zaTHl211yXg+5hNWtA7Wv6Wins5BwQE\nKCcnx91lACgD1yfg2bhGAc9ksVgUHBxcbuNx5x4wGD9vaWJCuHzMJklSVW8vTUwIlx8P2QAAAACV\nFnEAMBizyaG42r5a0DtaBTa7qlm85Od9vh0AAABA5US4BwzIbHLI3yL5W0ySCPUAAABAZce0fAAA\nAAAADI5wDwAAAACAwRHuAQAAAAAwOMI9AAAAAAAGR7gHAAAAAMDgCPcAAAAAABgc4R4AAAAAAIMj\n3AMAAAAAYHCEewAAAAAADI5wDwAAAACAwRHuAQAAAAAwOMI9AAAAAAAGR7gHAAAAAMDgCPcAAAAA\nABgc4R4AAAAAAIMj3AMAAAAAYHCEewAAAAAADI5wDwAAAACAwRHuAQAAAAAwOMI9cAXGjh2rRx55\npFT7V199JavVqry8PDdUJa1fv15Wq9Ut+wYAAADgOQj3wHUymUxu27fD4XDr/gEAAAB4BsI9UE4y\nMzPVvXt3NWvWTFFRUerQoYPefPNNl3WsVqvmzJmjwYMHKyoqSm3atNFnn32mjRs3qnv37oqKilLX\nrl31n//8x7nNzz//rKSkJMXFxSkmJkb33nuvNm3apKNHjzpnE1itVtWrV0/jxo2TJBUVFWnq1KmK\nj49X48aN1bNnT2VkZDjHHDt2rAYPHqzZs2erQ4cOioyM1NGjR2/CWQIAAABwI3i7uwDAyBwOh8vf\nExMT1bFjR/n7+ys9PV3PPPOM6tevr27dujnXW7x4sZ555hlNnjxZ8+bNU3JyssLDw/Xss88qPDxc\nkydP1oQJE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.loc[:, 'body_w_log'] = np.log(df.loc[:, 'body_w'])\n", "df.loc[:, 'brain_w_log'] = np.log(df.loc[:, 'brain_w'])\n", "\n", "df.plot(x = 'body_w_log', y='brain_w_log', kind='scatter')\n", "for k, v in df.iterrows():\n", " plt.annotate(k, v[2:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Как обучать линейную регрессию?\n", "Попробуем разобраться без всяких `.predict()` и `.fit()`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Рассмотрим случай с одним признаком и свободным членом" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$X$ - признаковое описание наблюдений, $y$ - прогнозируемая величина\n", "\n", "Пусть задана функция ошибки (функция потерь) $L(\\cdot)$. \n", "Нам надо построить такой функционал $f(X)$, который будет выдавать значение наиболее близкие к $y$, иначе говоря: $$L\\left(f(X) - y\\right) \\rightarrow\\min $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Определим функцию потерь, как сумму квадратов разности выдаваемого ответа функционала и реального значения: \n", "$$ L(\\cdot) = \\frac{1}{2n}\\sum_{i=1}^n(f(x^{(i)}) - y^{(i)})^2$$\n", "\n", "Так как среди всего множества моделей мы выбрали линейную регрессию, то $$f(X) = \\beta_0 + \\beta_1x_1$$\n", "Подставляем это выражение в $L(\\cdot)$ и находим $\\beta_0$,\n", "$\\beta_1$!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ L(\\beta_0,\\beta_1) = \\frac{1}{2n}\\sum^{n}_{i=1}(f(x^{(i)}) - y^{(i)})^2 = \\frac{1}{2n}\\sum^{n}_{i=1}(\\beta_0 + \\beta_1x^{(i)}_1 - y^{(i)})^2 \\rightarrow \\min\\limits_{\\beta_0, \\beta_1} $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "\n", "Избразите функцию потерь на трехмерном графике в зависимости от $\\beta_0$ и $\\beta_1$ для задачи с автомобилем" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(417, 2)" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X_model = np.c_[np.ones(X.shape), X]\n", "X_model.shape" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from mpl_toolkits import mplot3d" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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eexxKNxk8+ipUqPU3NVTUKCYuJ1J+N6mhL5Ie+C6J3GmY7pZk+z6Da76Aho6i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FFEVBlmXPxZlhmJujUSz6kUyqKBSab5BssQOuRZNi0cDSkjCwOAMA2ayKhQURq6v9y254nkYs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u7cuUM+P/tTOlN3BuvjaJu89ocgCBQVQVGRyowZGo2NInV1Ahs3QmOjLmREIhqRiC6guFwS\ngqASCunRNUmD3K+/1iNPDjhA3x4kVFU3AO4viqU7SRGmO5KkiyuyrGKx6JWXCgr0lCy/H7Ztg0RC\nJD9fZfx4AbNZIxrVCAQgEBCJRCAapUsUcjr1qJvCQg2nU8XjieNIIYp5LN+vqd5n+4NY2p29r+X7\n77/PRx99xOrVqwfcTpIkiouL+12uKArFxcXIAyl9QH19Pddccw0Wi4Xy8nIWLVpEVVUVADU1Nbhc\nri5hBqCyshJFUaiursbj8VBTU0NpaWmP75OqqipisRgNDQ2MGzduwOMbGIxFDoiZOCpk5o9OP8eG\nLJhyNHoG4MYzO3h/s5lLHs7n+av/P3vnHd9U1f/x981uk6ZtSstoyx5F9iogyFCWoqwWUHlUfEBB\nHIjCg6AI4vo5wIGggooKCggtIi5kyFRAQASZFQq0pUDbdKVNm/n7IyY0Hcy2SZP7fr14Abnn3nxP\nzsnNOZ/7HZkoRb21yggJUfL++30ZNKghzz23kz591vDSS91FLxoRr+LECT1Tp+7gwIFLjBvXiuee\n60JgoHhjqGo+2qhh1wklK5/OJFTtX2vlyqRaxZmrPUkFh2fM4sWL6dOnD4cPH3Y7ZjAYOHz4ME8/\n/TT169cHYMyYMcyaNYtTp07RtGnTSnuSum/fPkJDQ7nnnnsAiIiIYMCAAWzfvt0lzsjlcuRyOb17\n9wYgPDycM2fO8Ntvv123OOPP4UzXs9n1FqFGJhOIjLQTGWmnXTu4dEkgK0sgPV0gLc1Ofr6d/Hwb\nguDwvKlVy2GbxQIgYDIJZGQI1K8vkJsLKSnccOUncFSU0mrthIQ4wpFycuDYMUcOGoCAAEci4zNn\nLocxSSQ2NBoICHDkj4mIcFRtql3bRu3aVlSq67ux+pKX19Xmma9zpdLZs2bNYvr06W6CSFXRpk0b\nmjRp4goh3blzpys/Te3atTEYDKhUqjLnBQYGukJOy2sTGBjoOiYi4quMz9MwPiKLRE0h9xrUnjan\nytCo7Hw4Ppuhb9Xi1UQtc0fnedokn+euuxrRtWsdZs36ncmTt/LNNyd57bUeNG0a4mnTRPyYoiIL\nH3zwFx98cJAGDbSsXXsPsbF1PG2WX3AgWc4b64J4fGA+t8WYPG1OjaZaxZmrPUm1Wq189tlnNGvW\njN69e5cRZ9LS0rDb7URFRbleU6vVREREkJKSQtOmTSvtSWpqaqrb+zjbrFu3joKCAtRqx0KntADQ\nuHFj9uzZc12fixjOdGMCVOn25ZXmrg5hS6GAqCg7UVEOoaagAPR6CTk5wr95XQTy8hyhTzabgEIh\nYLM52mVmQnCwnVatQK+3k54uYLNVbK9M5vCGCQjgX2EFJBI7hYWQne1IUgyXPbCUSlCrobBQQnZ2\n6asJyGQQFeXwkqlXz8zN7Ld9VUwsL5yp5P89kbS6qqkoNG3lypUIglBtuVoiIyPd/t+0aVNeffVV\n/vjjD1eIaXkeh6W5ljYiIr5GtFXG3QUBfK0pYFBhACE23/0etG1g5sW4XF5YFUK35ibu6lDkaZN8\nnrCwABYtup2RI5vx/PO76Ncvgccea8tTT3UgIEBMaSlSvWzefI4XX/ydtDQDTzzRniefbI9SKVaS\nrA6yCwQmLgmlTQMz04ZUfqEcf8Or7p4rV64kICDALcdMSQwGA3K5vMxC+2pPSa+lTeknqQaDgfDw\n8ArbOMUZk8lUpo3JZMJsNl9zLoPS/Sn91NpXNnylqaw+VuTl4Py7ujfPajWo1Tac0RI2m42CAoH8\nfAlGo4DB4PCcMZkc+WQcYUp2atcWaNDATkGBgMHgyAsjk9ldIUuC4GhvNDqEnQsX+Lf0tXufBMFR\nHUqpBKNRgl4P4BB1NBqIjLRRp46NiAgr4eE2FIqb77M/zNfSIU0VzbeaLtRcrXT2xx9/7LHS2YIg\nEBYWRuG/CZg0Gg3GcjJwFxYWunKMaTQaLl26VOa485iIiC/zoEHDpsAilgUZeDLXt6uTjO1TyG8n\nlTz7ZQitozPEKiHVRN++0WzeHM8HHxxk0aK/WLfuFC+/fCt33FHf06aJ+AEpKfnMnv07Gzac5bbb\nIvnii4GiB1c14swzU1Ak4aNns5CLethN4zXizI4dO8jIyOCJJ564YrvKekpaGW0kEkm5G4Pr4Uqb\nHF/e6FaVZ5C3hD05cb6vRgNBQXacpbLLw2IRyMkRKCx0CDcGg8QVKuWo9gRWq+BKMuz8Wyp1CC8q\nlcOTBiRIJI5wpdBQC1qtneBgOyEhNkJCbFT2vtqfvbwqEmhKUpO+w1cay3feeYdu3brRrVu3arPH\nZrO53YfNZjPp6em0adMGcHhF5uTkkJ2d7UoanJaWhtlsdnndREVFsW3bNiwWiyu/TXJyMjKZjNq1\nxeSAIr5NsE3C/flqPtUaGFoQSH2L1yz7Kh1nee1Br4Xz2JJQ1k7LROG73fUqAgJkTJvWmeHDm/L8\n87t48MEN3H57NLNndxM3yiJVgtFo4eOPD7FgwUFCQlR89NEd3H13oxq15vIFPt6kZtNhFZ9PyiIq\nTBTEKwOv+dnKzMwkNTXVlZMGwGKxcPr0aX777TdefvllNBoNJpOpzIK99FPSyniSWt51SrdRKpXk\n5eWVaaNQKCr0mim5masoAXBNqnZzo1SHp4WnhZrrFS1kMju1apVs77jJWa2XRRuj8XIJbZlMQKGw\nExjoEH2kUgGZzEpAgMNrprrxVzHR0/OsKig9lsnJySxbtoyNGzde8zXsdjtFRUWuz6G4uBij0YhC\noUAqlWKz2SguLqaoyBF+UFRUhNFoRKlUuu6N8+bNo3v37jRp0oTi4mJ++eUXpFIpsbGxAERHRxMV\nFcWKFSsYOnQoVquVdevW0axZM2rVqgXALbfcQmBgIF999RUDBw6koKCAH374gU6dOqGoDLcxEREv\nZ3hBIOvVhSzW5vOKvvzKZ75CcKCdjx7JZuibtXglQcw/U900bRrCypV38dNPZ5g7dzd33LGGhx5q\nxdNPd0CnK+vVLiJyvdhsdtau/Yc33tjHxYsFPPpoG55+uiNqtZjwt7rZ+4+C17/VMmlAPv3bFnva\nHJ/Ba8SZ/v3706NHD7fXli9fTp06dejfvz8qlYrIyEjsdjvJyck0adIEgIKCAi5duuT2lLQynqRG\nRUWxa9cuN3uSk5MJDg52hTSFhoaWEXmSk5PL5EkoyZVECX8TZqD6+umJDXRlCVBSqZ2wMDslqsV7\nDf4yZ51cbSxrslBztdLZDz/88HVVNsrOzubll192/X/58uUA3HfffcTGxnL69GkWLlzoOr5gwQIA\nnnjiCdf9vUWLFuzYsYP169cjCAIxMTE8/fTTbqLKuHHjWLNmDe+//z6CINCyZUvi4uJcx+VyORMm\nTCAxMZH58+cjl8tp164dw4YNu+a+iIjUZBQIjM8L4hVdLn8oi+lS7AH1vhpp18DM7HhH/pkOjcwM\nj705D2eR60MQBO66qxG33x7NkiV/88EHB1mz5iRPPtmesWNbifloRG4Iu93O1q2pvPbaXo4e1TNo\nUANWrLiTJk1EzyxPcDFXwoTFoXRubOJ/Q8U8M5VJtd4hr/QkVaPRlIn/VygUBAQEuHK/aDQa2rRp\nQ0JCAqNHj0Yul7NhwwbCw8Np2rQpUHlPUjt27MjPP//M2rVr6dGjB1lZWWzZssVNQIqJieHMmTNs\n2bKFNm3akJaWxp49e4iPj7/qZ3GlkCl/8UDwVB+rYwPtDzlYoOLEsb7Ejc7ZmirUlJ6zO3fu5MCB\nA7z77rvXdR2dTsc777xT4fGmTZte8TjAkCFDGDJkyBXbhISEMH78+Cu2qVu3Lo8//vgV24iI+DK9\ni5R8VyxnkTafxRkK5D5cWhsc+WcOnlUwdVkIzeqYaV3f4mmT/A6VSsaTT7bnvvtaMH/+Af7v//5g\n8eLDPPVUB+6/P0ZM1ipyzfzxx0Xeemsfu3adJza2NuvWDaFzZzEs2VOYLDBhcSgSAT56JFvMM1PJ\nCPZrjLs4f/78Tb+ZXq93e5LqxPkktTQLFy6kXr16bgmCjUYjCQkJHD16FIvFQpMmTYiLi3MJLwA5\nOTmsWbOGpKQktyepJcWf9PR0EhMTOXv2rNuT1JJPZE+dOsW6detIT08nICCA2NhYBg8e7Nq4/P33\n3zz33HP07NmTzMxMtFotvXr1ok+fPmX6Ujqc6UpeM75cWaRkgl5v2pBCxZ4D17uB9qeEzt46lpWJ\n7d8a55XVz6vlpvHEZ1nR/cdqtdKvXz8eeeQRRo8eXe12idw49erV87QJIiXIyMjA7IxJ9RCnZWYm\nhusZl6dhdIHvltZ2YjTBiLdroTdI+GlmJjqNrcrfU6fToXdk4Rcpxdmzecyff4DExH+oUyeQKVM6\nMnJkc+TymrnmFce66tm//yLz5u1n27Y0YmJCmT69C/371/fIOkkc78s8vyKYr3YGsubZTDo39uzv\nWmUjl8vLFASqbqpVnPE1zp49y9ChQzl48OA1nyMIgl9XZ6oJAtTNbp4rezPvjfjbnK2qPnqLUFPR\nnP3yyy9Zvnw5P/zwg1d/Z0XKIooz3oU3iDMAi7T5/BRoZOmlMGrZfP9xZ5pewp2vh9OinoUVT2Uh\nq+Iuixu4q5OUlM28eQdYv/40DRoEMWlSO0aObF7jPGnEsa46Dh7MYN68/WzZkkLz5iE880wnBg9u\nhETiubWmON4Ovt4ZyLTlIfzf/Tk80KvQ0+ZUOt4gzoir7ZsgKCiI/Pzri7MTw5m8K4SjPJzj4PRw\nctrr7IPNZqvQy8YfBAvwj35WRxWqm5lrlUVFY5mbm8sbb7zBSy+9JAozIiI+woP5apR2gcVag6dN\nqRYidTY+fiSbvUkKXk7w7VLiNYVmzUL56KM72LBhBK1b1+K553Zy662r+OSTvyks9LyAKeIZ7HY7\n27ence+9PzJ48LecO5fPokW3s2lTHPfc09ijwoyIgz9OyZm5IpgHehX4pDDjLYgr7ptArVZTVFR0\nxadhJTc75ZXNrkmiRWVQ0zbz17N59reS0iDO2ap4n9Jhj1Up1FytdHaPHj3KDTkVERGpmWjsEh7J\n07AlsIiDCpOnzakWujc3MWdkLp9s0bDqtwBPmyPyL61bh7F4cT9+/TWenj3rMXfubmJjV/DWW/u4\ncKHA0+aJVBMmk5U1a5IYOHAt9933I9nZRSxadDtbtsQxdGgTpFJxq+oNpGZJGf+Rjg6NTMwdletp\nc3waMazpJmnUqBEHDhwgNDTULa9MacRwJu8PZ7oeKgpHceIr/SyNOGer346Sf5ekMkKfKgrbOn36\nNAMHDmTTpk1ERUXd8PVFPIcY1uRdeEtYE4ANO8+EZZMrsfFxRhgKH08ODGC3w/Svg/nmt0BWTM6i\ne/OqEabE0IcbJyUlnyVLDrNy5UmKiy0MHtyYhx9uRefOEV651hDH+ua4eLGQr78+zvLlx7lwoYC+\nfaN49NG23HZbPXG8vQxDkcCwt2pRUCzw/fRMwoKqPn+XpxDDmnwAjUaDwXB19+DyNnj+tsn1pT5W\n5OXgpDrCUTyJL89Z8J4qVBV5bsHNe9Rc6bs5Z84cxo0bJwozIiI+iASByblazsusfKPxDw8FQYBX\n782lazMT4z/S8c+FmpXfxB+Ijg5i7txb2bfvfl58sRt//ZXBsGHfceed37Jy5Qkx5MkHsNvt/P57\nOhMnbiY29msWLvyL22+PYvPmOJYvv5NevSI9vu4Sccdqg0mfhpKaJeXzSXqfFma8BVGcuUmuJe9M\nReFM4PubXCf+0s+SVGfekOrAV4W20njrd/NahJobmWel+7ht2zYOHTrEpEmTKsVuERER76ORRUa8\nIZCvggpIk/pHmWm5FBY/qidca+WhhWHoDeIS2BvRahWMG9eaHTtGsWzZIMLDA5g6dTsdOnzF9Ok7\nSErK9rSJItdJZqaRjz8+xO23ryE+/nuOHs3ixRe7sX///bz1Vi9iYnSeNlGkAl5ao+XXv5V89Eg2\nLer5x2+Fp5F52oCaztU8Z8rb3PnCRv1a8JfNvJPSOWnK+7tk25qGP4xlTflulgxpKjnHSv77SmFP\nFX03LRYLL774IjNmzECt9v1SuyIi/sx/DBq2BRTxXkg+b2SFIPhBeFNwoJ0vn9Bzzxu1+O+Hoax8\nOguV3NNWiZSHRCJw++3R3H57NCkp+axadZKVK09wxx31adYs1NPmiVwFs9nGr7+msHLlCTZvPodE\nIjBgQAPmzr2Vnj29M3RJxJ1PNqv5dIuGV+/NoU+rYk+b4zeI4sxNcjXPGTGcyX828yX7ebObZ2/D\nH+ZsSWpSP29krlX03Vy2bBmBgYGMGDGiWmwXERHxHAF2gadytcwMy2FTQBH9jf6RLLd+LStLJ+kZ\nOb8WU74IZeF/s/HRNHE+Q3R0EFOndmLKlA6eNkXkClitNnbvvsD335/mxx/PkJlppE2bWsyZ052h\nQ5ug06k8baLINfLzQRVz1miZ2N/A2D5iZabqRBRnbpIrec6I4Uy+389rEaBqulBTU7xJbhZfEBSv\nZa6VbFuynzk5Obz11lssXbrUZxNai4iIuBNbrOT2QhWLgvPpVKxAZ/OPXCwdG5lZ8N9sHl0cSp0Q\nLbPj8zxtksg1IFbu8W42b07h4Yd/ITJSw4gRTYmPb0arVmGeNkvkOtmTpGDSJ6EM7lDE88P96964\nV1nEYA/bIIozN0lFnjMVecyIm1zf4UaEtpos1IhCW82iornmxG63o9frUavVqFQq5s+fT+/evenc\nubNH7BUREfEMj+cFMU5ZzILgfGZnh3janGrjrg5FvDwql91JSqw2EPf9IuC+DhO5Pnr1iuT774fS\nvn24+BnWUI6nyXj4Qx2dmph4/2H/8ir8TVnECq1JFGdqOhqNBqPRSFFRESrVZXe9ivI8OI/56k3L\nn4SZmxXaaoJQ40/jCb773SydPNjJmjVrOHHiBDExMezdu5dFixZ5wjwREREPEmyT8GSulpd1uWw3\nFtGryH9CDx7uW8jYPoX44G3frzEaLYwc+T13392Y8eNbI5O57zCd66tnn92GTqdi8uQOaDQKbDY7\nEonArl3n+eGHZD53CPkAACAASURBVPLzTbRqFcaYMTEEBSnczj106BI7d57CYrHRrFkIXbrUQSJx\nn0gXLxai1xchl0vQ6VTlhvX4khikUsno0CHC02aI3CBpeiljFoQRqbPy6UQ9Sj/Kx5Un2Hg3JJ9+\nxRpQetYWUZy5SYKCgiguLub9999n6tSpSCQSMZwJ3+9nZY+nNwo1/iTM+JtHm9OzLy4ujgMHDvD7\n77/TrFkzPvzwQ9q0aUPHjh1p3rx5ufcyERER36NXkZKeRiXvB+fTzqQg2OY/j0t9+OfN77BYbNxx\nRwKnTuUAMHhwI0r/vFutNqRSCVOmbGP16pP06ROFyeQoDyyRCGzYcIb58w/QoIGWiIgAVq8+yenT\nucye3Q21Wo4gCGzfnsqCBYfJyzMil0vIySnmqac6EB/fzCXQ7N9/kbff3s/ff2cB0LhxMK+91sMt\nzOfkyWxef/0Pdu5MQ6GQMnhwI154oStarcK17jtzJo/58/ezd+8FtFolDz10C/ff3+Kq6zKj0cLa\ntf9w4kQ2Wq2Cfv3q065deJk2f/2VQXZ2ERqNgtatwwgNdReQzGYbOTlF2GygUknRahU+vSb0VzLz\nJNz7XhhyqZ3lT2ahDfD9dXFJPgzOp1iwMyZfLYozNZ2wsDCOHz/OmDFjXCVuS+OPmz9fvnFXtdBW\n+prlVX6qTvHL14U2J77ez/K+m7Vq1UIul7Nu3TrWrFnD0aNHOXDgAH/88QcNGzbk6aef9pS5IiIi\n1YiAwFO5QYyLyGKRNp8ZOcGeNklE5LqRySQsWdKPgAAZd965FgCptGRFQhsymYRp07Zjt9vp2rUO\nOp3KzePlrbf206VLbWbMiEWrVbB374V/vXAa0atXFAAzZ+6iT5+GTJ3anpAQJfPn7+fll/fQqVME\nTZo4QgOffPJXunSpwy+/9CYoSM6ECZt5/vldfPJJf2rVCsBisTF27Abat49g7dohWCw2JkzYhEol\nZcaMWAICZBQUmHn44Q00bx7KjBmxZGQYefPNfSgUEkaObH7Fz2LGjJ2cPp1L7dpqTp3KYcOGs7z+\neg86daoNOESqt9/ez/btqRQXW7FYbHTqVJtZs7oSERHous6HH/7FN9+c5OLFQrRaBU8+2Z77749B\noRAf3vgKeUaBMQt0GIwCa6dlUjvY5mmTqpXdymI2BhYxNVtLiN3z89p/Ho1UAbm5uSQlJaHVaunc\nubNbJZTyvB98efPnT8JMdQltzvniFP1Kh6bYbLYqs0cUFH2L0omAnZjNZlfp7AYNGnDnnXcyc+ZM\npk6dyqBBgzxhqoiIiIfQ2aRMyg1ic2ARO1VFnjZHROSGaNo0hOjoIKRS59rJ8bpTmHnjjT84dSqX\nF17oSmSkxhXKBJCeXkBSUjZjxsSg1SqwWm3ExtahadMQ/vjjIna7nSNHsrh4sZBp07oTEqLEbrfz\nzDOdsFhsLi+ZLVtSKCiwMHNmLHXrqtFoFLzyyq0cPpxJaqqjiMjatf8gCAIvvBBL69ZhtG8fzvTp\nXVxVjgBWrjyBXC7lf//rzNChTRg/vjV33tmQ1auT0Osr/o5u3HiWbdtSefrpjixZ0o/PPhtAYKCM\npUuPkJdnAuD775NZsyaJZ57pyPbto/jyy0Fs3nyO1atPYjY7Nudff32czz47wtSpnTh48D88/3xX\nZs36nV27zlfJ2IlUPwVFAg8sCCMlS8ZXT2XRMNzqaZOqlTzBxjsheXQuUjDQ6B0hvaI4c4PY7XZW\nrVqFRCIhPT3dbfPs3PA5N8/g28JMScR+Vu37lRZqSs+1yhJU/GXe+oMwAxX388svv0Sr1TJ8+HDX\na4IgEBUVRUxMTLXaKCIi4nn6GVXcalTyTnAeeol/LdKvhB88q/A5LBYbCsXlbY5MJmHx4sNs3HiO\n2bO7UatWAEajBUEQsFodYsSZM3lIJEKZ0J7ISA2XLhVis9n5558cQkNVqFSO4AOr1TE5wsJUnDnj\nqGxz/Lie+vWDXF47VquNRo2CUSikJCfnAnDoUCbNmoWgVl9O7NG1ax30+iKX8PL77+m0bVuLyEiN\nq83gwY04ciSLoiJLmT47f+t/+CGZW2+tx223RQKgUEiZMKENu3dfID/fIc58881JhgxpzIABDQCH\nqPXf/7Zmy5YUcnIc779s2THGjInhnnsao1bLGTGiKX37RvHDD8kUFpqvc0REvA2jCcZ+qOP4eRnL\nn8zilqiyc8rXWfBvONOzOVoEvGMvIIozN8ju3bs5evQorVu3xmAwuDbN5Xk5wOVNtC96I/iT94E3\n9LOqhRp/FGb8sZ/Z2dnMmzePOXPm+HT/RURErh0BgSm5jkXqvJA87PjemuVaKTLDnNVaLuVKOHFe\nzAJQU3D+nFmtNrdEwFu2pPDzz2f44ouBrtwrcrmUoCCFS4wxGi3I5VLkcsm/13JcTCaTYDbbEASB\n/HwTSuXlNk6vm4AAGcXFDkEzN7cYpVLqCv0p+RtrMDhEjcxMI2q13C08yJHPBXJyigG4cKGwTI4X\nnU5Ffr7J5d1SHufO5RMe7gidchIZqSEz0+h67Z9/cqhbV42txGWaNQshNdXgeu3UqVwaNQp2K2He\noUMEZ87kufoqUjMpNsP4j3T8mSzny8f1dGzkf2LbNlURvwYW8WRuEOE2z4czORF/bW6QtLQ0unXr\nRmRkJPn5+W43TocKb8VqtSKTXf6IS2+WfWFD5C2CRVXjrf2s7ETCvioglkbsJ7z99tv07duXjh07\nVrNVIiIi3kyoTcKzOVpmheXwY6CRwYWBVz/JBzGaBI6kyukyozZWO8yOz2Nc3wK/Ki1bk7Fa7cjl\nEux2h2CzZ88FV/4YiURALpeQnl6AUilj794LrFp1F2q1DIvF5hJenBQWWoiM1CAIDqHGZrMjl0ux\nWp1rewGj0UJAwOU1v0wmcct347TJKcZYrXZUKplbQmqr1Y7dfjlPjtlsRaWSuV1HEHD1qSIMBjMB\nATK3fshkEqxWu8vTJy/PRGCgHJns8oUCAmQYDGZkMgGz2YbVaiM4WOF2bY1GTk5OsVethUWuj2Iz\nTFii4/eTSr54IouuzUyeNqnayZRYeTckj9uMSm73knAmJ6I4c4PEx8djs9lYu3Ytf/31FzNmzCA+\nPp6OHTsiCAJbt25l3759TJkyBYVC4TUVeKoKX/c+cOLN/axMocab+1mZ+Gs/T548yerVq9myZYsH\nrRIREfFWuhcruasggA+1BtoXK4i0+t9yMVRtZ/WULPq+FE6kzkrPmGJRmKlB2Gx2N4+P++5rQbdu\ndcjLM2EyWREEgUWL/kKrVdC7dxQBATIaNw7GZLKSlVVEaOjlRMH//JNDv371EQSByEgNGRlGpFIB\nqxXXe1y8WEj9+kEAREQEkpFR6BJiJBKBwkIzJpOVqChHiFJoqBK9vsjtt1mvL8JstlG7tkMQDQpS\nYDZbsdkuP2TJzTUhlQqu0t7gCOGSSC7n11GppAiC4Hae0egIWXGGUUmlAjKZ4Cb0FBdbkUoFpFIJ\nEonjM1Qq3T0KrFZHjp6Soo5IzcEpzGw/quTTx/TcFuN/wowNO2+F5KGwCzyd6z3hTE7879e2EpFI\nJAwZMoRGjRrxyy+/8OijjyKXy/nPf/7DP//8w2233YZC4bh5emOp5JvFW71JKpua2M8bqfhUE/t5\nI4j9hDlz5jBhwgTq1q3rCdNERK6bnJwcli9fTlJSEnq9Hq1WS/fu3bn33nvdPFT37t3LqlWruHDh\nAqGhoQwaNIi7777b7VqbNm3iu+++Iysri4iICOLi4ujZs6dbmzVr1rB582by8vKIiopizJgxtG3b\ntlr66i08lqfhoNLE/4Xm8W5mKFIvW8BWJRYryKTwze8BnL4oY+bwPFrUdWxubTbHZvZaPBhEqh+j\n0UJgoEOAUCgkLoGlYUMtDRtq3dquX3+aBg2CmDLF4UEaGCgnJkbHvHn7efvtXqjVctatO8WFCwX0\n6uXI39K+fThWq42vvz5CfLwjX8u6daewWu106hQBQOfOtZk9+3eSkrK55RZH6eyNG88hl0u45RYd\nAO3ahTNv3oF/8904BJB9+y4SGqp05Zhp3jyUY8f0bqFPx45lERWlKeOlU5Lo6CBSUvLdzjt3Lh+d\nTkVQkOOzqVNHjV5f5FapKi3NQEREIEqlFKlUgkwmcSUQdnLhQgG1aqmQy70nDETk2igtzPRtVexp\nkzzCt2oj+1UmXs8KIdjmfYq7dM6cOXOupWF+fn4Vm1IzkUql1K1bl549ezJu3DhiYmLYuXMnEomE\nbdu2UVhYSHR0NIGBl92CnZviisSYiiqreBP+WoWqpvXzeuZaTe7n9eDv/dy0aRMrV67kgw8+QC6X\nV3S6SA0nKCjI0yZUKufPn+fYsWMMHTqUYcOG0aRJExITEzEYDC7R5MyZM7zyyisMGzaMhx56iKio\nKJYuXUrdunWJjo4GYP/+/Xz44Yc89NBD3HvvvajVaj755BPatm1LWJhjE/Xzzz+zbt06JkyYQFxc\nHEajkc8//5zbbrsNtVp9Q/YXFhZis9Ws8qRyBFqYZHwVVIBdgPYmxdVP8gGsNocwozcI3PteGOP6\nFjKquxHlv7dLpzBjsTpK0AaU+FgCAgIwGo2eMVyEixcL6djxK95+ez9Wq50ffzzD++8fpG5dDa1b\nh5Vp/9FHh9Bo5Awa1ND1O9m8eShr1/7D+vWnWbv2H379NYWxY1tx992NAVAqpQgCLFt2hH/+yWHX\nrvOsWnWCESOautrUqaNm376L/PTTWVQqKUeOZPHOOwcYOrSJ670aNNDyySeHSUsz0KhRMCdPZvPi\ni78zbFgT7rjD4aWj06l4/fU/iIzU0KRJCElJ2Tz33C5GjmzObbdFIggCeXkmpk3bjs3msN3JggUH\n6dkzkrp11eTmFjN79m7atw9n8OBGSCQC587ls3HjOQYNaoBaLcdotPDaa3vp3DmCfv3qI5EIbN+e\nRl6eiT59ol2hVa+99gddu9alV69In15Dlaamf7eNJhj3kY7fTvi3MPOPzMwrulyGFgQwrLDs77lU\nKr3h3/nKQrBfY+KF8+fFsmnXwo8//simTZuYNGkSJ06cICEhge3bt9OzZ0/i4uIYOHAgAQEB5Z5b\nUX4Ib9xEOm31RtsqE1/tZ2lPmpL4Wl9L4qvjWZqK+mk2m+nbty/PPPMMQ4cO9aCFIlVNvXr1PG1C\nlbNmzRr27NnDW2+9BcBnn33GxYsXmTFjhqvN0qVLOXfuHLNnzwbgjTfeICwsjPHjx7vavPnmm2g0\nGiZNmgTA1KlT6dWrF0OGDHG1mTZtGrGxsYwcOfKGbM3IyMBsrpkJF5drDHwZVMBbWaG08wOBxmYD\niQRGvxtGvlHgw/HZNChRXvab3wM4eEbB9mNKmtaxIBHszByeR9M6VnQ6HXq93oPWi1gsNsxmR2GE\noiIrZrONoCC5y5umJCdO6FEqZWU8ag4ezGD//osUFlpo0iSYu+5qVObcdetS+OGHE5jNNnr2rMe4\nca3djufmFvPqq3vZsSMNmUzCPfc0Ztq0Tm6/yQcPZvDii79x5EgWQUEKhgxpzPPPd3ULJfr886Ms\nWXKYnJxigoLk3HprPWbP7kZwsBKAlJR8undfyf33x/Dmm7cBDu+hZ5/dzrlzedStq6G42MKlS0be\neac3LVs6PHdOn85l7NgNdOgQQcuWOpKTc9myJYXlywfRooWjzU8/JTN16g6mTetEixY6tm5N4fPP\nj/Lzz8Np1Cj4RoanxlKTv9uFxQIPLXIk/106yT9DmQCMgp1JtbJQILAgQ4eiHG9QuVxOeHi4B6y7\njMfCmux2O2lpaXz44Yfcd999tG59+aa2d+9edu/ezaVLl7BYLERGRjJ48GAaN27salNUVERCQgJH\njhzBYrHQuHFjRo4c6XryBZCbm8vq1atJSkpCEARatmxJXFwcGs3lknQXLlwgISGBM2fOoFAoaNeu\nHcOHD3d7onz69Gm+/fZb0tPTCQwMpEuXLmXcpA8dOsS6devIysoiICCA1NRUBg8ezODBg9Hr9Xz/\n/fd8+umnTJs2jcGDBxMfH0/37t2RSi/fgJ0bqfJCULwp7EkMC6n5lJxLpZ/mett8qyz8JQkwlC+6\nAXz++eeEhoa6bTpFRGoqubm5br/nycnJbmsJgJiYGLZu3er6/+nTp+nSpUuZNtu3bwccAmZKSorb\negOgRYsWnD59upJ7UDO4z6DmgNLE66G5fJwR5pVu4JVBsRmUcocw8/nWQP74R8Fnj+mJDrsszHyx\nLZD/+1bLf24r4KPxevQFEtbvC6DPSxG8+1AOj97lwQ6IAI4QH2eYT3mCTEmcIkRp2rcPp337K2/Q\nHn64HUOHRld4PDhY6RJLKqJ9+3C++87xoMSZH6ZkmBHAAw/E0K9fNHl5JiQSR86bkvlmwsMDWLp0\ngJvAFBAg45VXbmX9+tMkJ+ei1SoYOLChS5gBaNw4mA8+6MuSJX/z/ffJREaqWbKkv9tncuedjcjO\nLuaTT/7m4sVCmjYNYfnyQX4nzNRkcgoEHlwYxvE0GV89qffL5L9OFmnzyZBaWZQZVq4w4y14RJzJ\nzs5m7ty5FR4/e/Ysbdu2pXHjxshkMrZt28bixYt5/vnnXa7aK1asIDs7mwkTJqBQKFi/fj1Llixh\n+vTprs3kp59+ilqtZvLkyVitVr755huWL1/OxIkTAcci7OOPP6ZZs2bExcVRWFjIV199xdq1axk1\nahTgCOf6+OOP6dmzJ//5z3/Iyspi2bJlqFQq+vXrBzgqN33xxRfUr18fuVxOv379WLVqFVqtlo4d\nO6LT6XjwwQd58MEHOXv2LGvXrmX69OkUFhYyYsQI4uPjadmypav/3pyfxpcFi9L4Sz+dVJR/xteE\nGn/wmoGy/czKymL+/PksX77cp/sv4h9cuHCB7du388gjj7hey8vLK+OZGhQURFFRESaTCYVCQV5e\nnluYMYBGoyE3Nxe4HMJd3nWSk5Nv2F6T/DCCOeaGz/ckUgRmZgczITyLt0JyeVkf4nUJFCuDT7Zo\n+HxrIO88lMOra7U8NsBAp8YmVxLgjYeUzF2jpVW0hZQsGbuTlIy/o4BeLU10amyi2b85aUREboTS\noowTqVRCVFTFYaoqlYz+/RuUeV2nU/HQQ7e4vVZyPQfQtm04Cxb0vaJd998fw/3318x7l7+TkSfh\nvvfCSM+R8s2ULNo3rJnem5XBVlURP6mNPJujpb7Fu1PuesQ6rVbrcjt+/fXXyxwv7TY8atQo9u3b\nR3JyMm3btsVgMHD48GGefvpp6tevD8CYMWOYNWsWp06domnTpqSkpJCamspLL73kEnRGjx7NvHnz\n0Ov16HQ6jh49SnFxMaNHj3Z5sAwdOpTly5e7vGf27dtHaGgo99xzDwAREREMGDCA7du3u8SZ3bt3\n06JFCx555BEKCwtRq9WcO3eO3377rUyZ2gYNGvD0008zefJk/vrrLxITE4mPj6d27drExcUxfPhw\nN3d0bxVq/HWD62tUlN/I2+bbzeIvouLVSmf379+f9u3bV7NVIiIVs3r1atasWVPh8fDwcD744AO3\n1/R6Pa+//jpdu3Ytk8i3pDdqRUiuoeTOtVynNDt37mTXrl1ur9WuXZuxY8di1K6hnup1JCiv+7re\ngA6Ya1UxWZXKT+HwH2v5Hgc1mVn3QWYB3PteGNoAmDJcTkSwI4dHvhFe+1bBiO52nrrbTmqmlLmr\ngthwOIiVU01MciwRkcvl6HS+99mIlEUca/+ipo332QyIf0eBoUhg81wTt0T7Vh666yFVMPGuIoP+\n1iDuV9VDUFW8D3DuET7//HMuXrzodqxHjx5l1hxVgUfEGalUSkRExDW3NxqN2Gw219OutLQ07HY7\nUVFRrjZqtZqIiAhSUlJo2rQpqampaLVat6SIUVFRyOVyUlJS0Ol0pKamUqdOHbdFWOPGjTGbzVy4\ncIHo6GhSU1Pd3sfZZt26dRQUFKBWq0lNTaVZs2YIguBKItS4cWP27NlTYZ8EQaB9+/a0b9+eWbNm\nsX37dhITE5k3bx4dO3YkPj6ewYMHu9nvaaFG3OD6Flcbz9LzraKKTxWd7034w7wtSWlR8fjx4yQk\nJPDrr7960CoRkbIMGTKEAQMGVHi8tJBy4cIFXn/9dVq2bMmECRPcjmm1WgoKCtxey8/PR6lUuion\nltfGYDCg1TpCApy/uQaDocx1rpZkuWfPnhUu3CxCFqnmRWjyH7riNbyZVkC8NpD31ZdolGOhpdn3\nEorPHgGjusoYu1DHgNlS1jyThU5jY/mOQNKyFCQ8cwmdxk60Fj74r5SJS3Ss3WkkvpsRux3CwnRs\n2p9PapaU1CwZo28tJCyoZiWCFrk2anIOEpHrpyaN9/E0GWMWhKGQ2Uh8Jos6ais1xPRKx4SdZ2vp\nCbIKPJ6hItuefcX2zpwzY8eOrR4Dy6FGBA7/+OOPhIeH06RJE8CxaJLL5WUWbYGBga4FlcFgQKVS\nlbnW1do4BaDKaGMyma4pAaBcLueOO+5g4cKF/Pnnn8THx5OYmEi7du2YMGECGzduLHOdklV4ygtH\nqWyBwV+EGfAfrxkn19JPQRCQSCTVNt8qE38Zz4q+o3a7ndmzZzNx4kTq1KnjKfNERMpFqVQSHBxc\n4Z+SgsiJEyeYNWsW3bt3Z+LEiWW+z40aNeL48eNur504cYJGjRpdsc3JkyddbeRyOVFRUWXaJCUl\nuV3negko7E+BZiUWacoNX8MbGJenoZlZztzQHHIF3xQdWkZa2PPaJUZ1K+RMhuPh3bFUOV2bmggJ\ntOP8qYvSWTGaBE6mO55z2u2wbq+EBz4I4/2fgtj8t5Kuz0eQsKf8IhAiIiIilc3efxSMmFcLncbG\nt9My3ZKZ+yMLg/M5I7fwoj4Yjb1GyB7eL85s2bKFgwcPMnbsWLeF2LW4JXtbm2tBo9EwcuRIVqxY\nwY4dO2jbti1vvPEG7dq1Y+bMmRw4cKBMKEp5G2fnRs1ms1XqxtkfNrjgH/28EbGtuufbzeJNtlQ1\nFY3nxo0bOXXqFI8++qgnzBIRqRQOHDjA3Llz6d+/P3fccQcZGRmuP0VFRQD07duXY8eO8d1335Ge\nns7vv//Or7/+6gpBBujXrx87duxg69atpKens2nTJg4cOFCmzfr169m3bx/nz58nISGB1NRUevfu\nfcP2BxTeidRai/yQ97FTc+9JcgRm6YMpFuy8EZqLrQb35WpMHFBAh39zNDQIt5Cql1JoEnDeYg8k\nK1ArbYSqHSLV5r+VjFsgZ/ztBtY8k0nCs1k8PzyPhRs0XMz1+uW2iIhIDee7fSrufTeMW6LMJDyb\nSe1g3xTQr5VfAoz8oDbyZG4QzSw1x9PTqzPibNiwgR07dvDYY4+55WHRaDSYTCZsNpubKFJYWOiq\n3KDRaMqtR1+6zaVLl8ocdx6r6DrX2kahULhVfbpe6tSpw8SJE5k4cSLHjx8nMTGR8ePHo1KpiIuL\nIy4ujoYNG7raV1XYk794zYgb+evD02F214M/iG1Qtp8mk4k5c+bwwgsvlElwWpMoncSw9L1fxPc5\ndeoUFouFhIQEEhIS3I5NmjSJ3r1706hRI6ZMmcLKlStZtWoVISEhjBw5kttuu1wxpXPnzjz88MMk\nJCSg1+sJDw9n0qRJxMRcTnh55513UlBQwKeffkpeXh6RkZFMnz79pjzPBBQE5T5JTthMigI2E2Ds\nd/WTvJQIm5QZOcHM1OXwtaaA/xg0Vz+phuK87cQ2NfHVzkA+3aLm3h6F/HVGTuLeQMxWgVHdjaTp\nJcz/PogeLW1MGezwqrbboV+bYhb8HMSxVDm1g4s92BMRERFfxW6HjzeqeTkxmBGxhbz9QA7KmqNF\nVAmnZWbeC85jYKGKOwtr1vrXK8UZq9XKqlWrOHXqFJMnTy5TbzwyMhK73U5ycrIr1KmgoIBLly4R\nGRkJOPLL5OTkkJ2dTWioI6FbWloaZrPZrc22bduwWCzIZI6PIjk5GZlMRu3atV1tSif4S05OJjg4\n2JVfJioqqkyJzeTkZNf7VAYxMTHMnDmT5557jt27d5OYmMiAAQNo3rw5cXFxDBkyxK2MeGVtnP1F\nmCmJv27kbwZvFGr8ae5WJCouXbqU8PBw7r777mq26OYpOWecYnxhYSFhYWEuYaa0aCPiu4wcObJM\nsYDyiI2NJTY29opt+vfvT//+/a/YJj4+nvj4+Ouy8Wooi2NRGnuTr/0IZVFXJPaam6CxS7GSB/LV\nfBFUQAuznC7FNTPR8bXSvqGZl0flMeXLEDYeVnEsVc5dHYy8MCKPsCAbryYGkZYt5cfZZjBDkRlU\ncjCaBC7lSagX6t+hBSIiIlWD1QYvrgrm821qnhyUz/Sh+fj7sqhAsPGSLpdIq4wnc7U1rrqgdM6c\nOXOupaGzvGRlYLfbKSoqwmw2s2XLFlq1akVoaCgSiQSJRMIHH3zAxYsXefDBB1GpVBiNRoxGI8XF\nxahUKhQKBefPn2f//v1ERUVRWFjId999h91uZ8iQIQiCQHBwMEeOHOH48ePUq1ePnJwcvv32W2rV\nquVyTQ4LC2P37t2kpKRQp04dLl68yLfffsstt9xCu3btAEcCqM2bN2MwGAgLC+PcuXOsX7+eHj16\nuIQhrVbLTz/9hFwuR6PRkJSUxIYNGxg4cKCbx09lIAgC0dHRDBgwgHHjxhESEsJPP/3ECy+8wJ9/\n/olUKnWV9C55zpU24teygfUHwcL5OfjyE/nSgkVVjGnp+Vb6PSqqEFXZ+FOIGpTtZ2ZmJo8++igL\nFy50ic01CWdftm3bxrfffst3333H0aNHOXToEFKplHr16rmJgb48xjfC1ZLXilQvhYWF2Gw25KbW\nGDWJ2KRZKItv9bRZN0Ubk5wTCjNrNYX0NqoIqiHx/DdKg3Arj95RQOtoM+NuN3BvDyNNajvyzjzy\ncSgzh+dzezsZuflG11PrmSuCidJZGXVrISo5FBYL/HRQxZa/lRQWS2jo5/kgajIBAQHleuiL+Cbe\nON4FRQIT+H06FAAAIABJREFUluhYty+A/7s/l0kDC/xemLFh5/XQPJLlFt7KCkVnu77Ki1Kp1OV8\n4SkE+zXGcZw/f77S3lSv1/Pyyy+Xef2+++4jNjaWKVOmlHueTqdj1qxZgKOCU0JCAkePHsVisdCk\nSRPi4uKoVauWq31OTg5r1qwhKSkJQRBo2bIlcXFxrnAkgPT0dBITEzl79ixyuZx27doxbNgwV2UH\ncLhTr1u3jvT0dAICAoiNjWXw4MFum4FDhw7x448/kpmZiVarpVevXvTp0+dmP6prRq/Xs379ehIT\nEzl58iSDBw8mPj6e7t27lys2lK6846SiCj2iYOEbOPvqiX5WFDZWFR41nuxndXKlufu///0Pk8nE\nvHnzPGXeDeMMW9qzZw+JiYk0bNiQ9u3bk5ycTHp6uqvS3pAhQ2jZsqXbOSIOKvvBgMjNkZGR4Urs\nXxi4nvyQ9wjNfAuFqYOHLbs58gQbj4frCbALvJepI8Duu/fbilj3h4o5q4PZMvsSTaJDuZShRyaF\nr3cGsnSrmrG9CxhzWyFJ6TIe/yyUnAKBxhFW/jorp1/bIt4fm+P3G6qaSE2q3iNy83jbeJ/LlPLf\nD3Wcy5Ty4fhs7mgjhk0CLNMY+EJbwEv6YHoUlS0MdDWc1Zo8iUfEGZGq5cyZM6xdu5bExESKiooY\nMWIEcXFxrk1MaSoSapz4ywbXX/oJnhXbrjTfKmMMRLENjh07xrBhw9i6dSsREREetPDGsdvtzJ07\nlxYtWjBo0CBCQkIARynlEydOsHfvXs6fP0/79u2Jj4/3+JMOb0MUZ7yLkuKMHRvZYVOxSTMIy1iM\nYK9Z8fClOS0z81StbGKLFczKDq5xLuQ3y5FUGeM/0rFkgp5e7bTo9XqOpsp49ssQ2tQ3M3N4Hpn5\nUuYmaEnPlrJ+egZSCVzMkXL/+zqevsvAiK7e9URe5Op422ZdpGrxpvH+7YSCRxeHog2ws3SSnhb1\nLJ42ySvYpSpiti6XsXnqG86F5g3ijEfCmkSqlpCQELp3787DDz9Mly5d+Ouvv5g7dy6JiYkUFhYS\nHR3t5j10tTCUkvjaRtdbBIuqxpsEi+oKe/J0P6uaiuau3W5n0qRJxMXF0bdv3yuen5aWxhtvvEHt\n2rXdRJy9e/eSkJDA+vXr+eWXXzh27Bjh4eGu/F0ARUVFrFq1ipUrV7JhwwZOnTpFo0aNCAwMdLXJ\nzc1l+fLlrFq1is2bN5OWlkbTpk3dPBMvXLjAF198werVq9m2bRtZWVk0b96c8+fPs2fPHjp16kTz\n5s2xWq1IJBI0Gg0NGzakQYMGKJVK/vrrL5KSkoiMjESr1Yp5aP5FDGvyLpxhTQACAnJTKwqCvsEu\nGFEWd/GwdTdHqE1KlEXKl9oC5HaBNibF1U/yEZw/V5sOq/j7nJzGdSUcOm3jqc9DaRBuZdJAA+Fa\nGws3aPjzjIKF47KpG2rDZgeNys6Wv1WYrQJ9WxVjtyN60NQgvDHMRaTq8Jbx/mJbIE98GkqHRma+\nnpxFdJh/V2Rykiyz8Lwuh1uLlDyRF3TDDwm8IazJd3ejIgiCQIcOHXjllVc4cOAA//vf/zh48CC3\n3noro0aNYtWqVRgMhjLn5Ofnu57weXup5JvBnxLGOvE2waKyS3P705hW1M8NGzZw9uxZxo8fX+G5\n2dnZPPPMM8ybN89Vfa4kZ8+epW3btjz66KM89dRT1KpVi8WLF7uJ9CtWrODixYtMmDCBKVOmIJFI\nWLJkidtYffrpp1itViZPnszjjz9OZmYmy5cvdx03m818/PHHhIaG8uyzzzJu3DhOnDjB2rVrCQoK\nwmw2u+5RUqnUNSfAkYh90KBB9O/fn5SUFHbs2FHu5yEi4o3IrFFo8sZSqE7EJD/qaXNuml5FKsbk\nq1kaZGC30n/c6wUBIoJtfP1UFkVmgf+8o+ClNVqa1rHw6r05tIqy8PtJJduOKhnbu4BboixYrCCX\nOv5k5ktdgox46xIREakIkwWmfxXMzBUhPNS7gK+fykKnqfl7scogT7Dxoi6HulYp03JqXgLg0oji\njJ8gl8vp168fixYt4sCBAwwbNozVq1fTtm1bJk6cyKZNmzCbzdhsNpYtW8aSJUvcPBxKbnicG2Bf\nEWm8TbCobGrKOFWGUOOPwkzJvhYXF7tKZ6tUFcfaarVaZsyYwYwZM8o9PnLkSPr06UP9+vWpV68e\no0aNwmw2k5ycDIDBYODw4cPEx8fToEED6taty5gxY7h06RKnTp0CICUlhdTUVO6//37q1atHdHQ0\no0eP5sSJEy7X4KNHj1JcXMzo0aOpU6cOjRs3ZujQoezbtw+1Wk3nzp3ZuXMnBw4cwGQyueaHzWbD\nZrOhVCrp27cvQ4cOZe/evVy4cKFSPl8RkeogsCAOmbk5eSFvY8fkaXNumofy1XQrUvJaaC5nZf7l\nZh8UYGf5k3q+nWFi7dRMlj2hJ1LnEJLX7g1AG2Bn3O0FADh/wdbuDSD5kpR7b70skG84qOKrHYEs\n2SyGaYqIiDi4kCNh1DthrPotkLcfyGHu6Dxk15fn1mexYucVXa6jQpM+hAAfSExf83sgct0EBQUx\nevRoVq1axfbt22nTpg2vvfYa7du35/333+f48eP07t3bLeykMr0bvAF/9bCoKX29kTlXE/t5I1zp\nu/bpp59St25d7rrrriteQyqVEhERcc35aIxGIzabzRWylJaWht1uJyoqytVGrVYTERFBSkoKAKmp\nqWi1WrfwmqioKORyuVubOnXqIJVeXmU0btwYs9nMhQsX6NatGyqVim+//ZbffvvNJeo4K/tZLI4N\nYEhICEqlkuzs7Gvqj4iINyAgJThnKlbZeQxByzxtzk0jQWBGjpbaVinP63LIlvifu33LKDsharsr\n3MlQJPDrEaVLmCkyOzxm9AaBd37QENfVSLO6FlKzpLy2NojxH4fy458Ogabb8xGcOC/zYG9EREQ8\nza4TCga+Gk5Kpow1z2ZyX4+y3s7+ih07i4LzOagw8WJ2CHWtvqFYieKMn1O3bl0mTpzIxo0b+eST\nTzh9+jSCIDBx4kTmz5/P2bNn3dr7ilAjCjM1h2uZc85550+UHtOMjAzee+895syZU+lj/eOPPxIe\nHk6TJk0Ah+eMXC4vk6cpMDDQFYZkMBjK9d65WhunAGQwGKhfvz7PPPMMDRo0YN26dXzzzTccOXLE\nFV4lk8kwmUxkZWVhs9nQ6XSV2m8RkapGZmmEJv9BCjWrMMuPedqcmybQLuEVfQjFgp3ZuhxM+Nd9\n2YnzFqyS22kdbeFshvTf/zten7oshCCVnQd6FWCywCdb1Gw+rOLTx/R89ZSerXMy6N7cxHs/arD5\nn8YlIuL32Gzw/k8a7n03jJhICxuez6BzY7OnzfIqEtWFrFMbeSo3iPY+lOtMlORFAMdG988//0Sr\n1TJ16lQOHTpEQkIC/fr1IyYmhvj4eO655x63zU/pstvO65T8d1WUSb5ZfEGwuBZqgkh2vVwpebA/\ncKUxffPNNxk8eDCtW7eu1PfcsmULBw8e5IknnnD7/K8lgfbNtnF66zz44IPs37+fzZs3s3TpUlq2\nbEmDBg1o0qQJSUlJ7Ny5k7Zt21K7dm2xpLZIjSPQMJoi1S5yQ94kLPNDBPv1l//0JmpbpbysD+HZ\nMD1vhuYyMzsYSQ3PAXCjSCXQoZGJ5TsCaVPfjM0Ov/ylYtcJJQvHZdMqysKX2wPZ+4+C4bFGBrS9\nnK+nRV0ziX8EYigWCFLZxZw0IiJ+gt4gMPnzUH49omTynQaeuTsfqbiscWOXqoiPtAZG5wdyd2Hg\n1U+oQYjijAgAf/zxB8eOHeORRx4hKCiIHj160KNHD1599VU2btxIYmIic+bMoXfv3sTFxdG/f3+3\nJ96lhZrS5ZK9pVS1LwoWV8MbPvfKpuR8s5V6rFiyvHTJtr5E6TE9cuQI3333Hdu2bavU99mwYQM7\nduzgsccecyvNrNFoMJlMZYSQwsJCVyU4jUZTbmWD0m0uXbpU5rjzmPPacrmcrl27EhMTw59//smO\nHTs4fvw4FosFqVTqKqctIlITcYQ3TScrfCL5QZ+izXvc0ybdNDFmOdNzgpmryyXSUsDD+TdW1rSm\nIwgwfWg+AQo705aFEKa1YbfDJxP13BZj4p8LUjYfVtGkjoXxdzg8CovNoJSDXAb5RgGZREwWLCLi\nL+xJUvD4Z6EUmWDZE3r6tvKfBOvXygm5mddDculZpGScD/62iOKMCADHjx+nS5cutGrVyu31gIAA\nhgwZwpAhQ8jKymL9+vV89NFHTJ06lbvvvpu4uDi6devmtkFzbhzLE2g8vWn2R68ZX+5nScpLWu38\nty8INRWNqd1uZ9asWTzxxBOEh4dXyntZrVZWrVrFqVOnmDx5cpnrRkZGYrfbSU5OdoU6FRQUcOnS\nJSIjIwFHfpmcnByys7NdJbjT0tIwm81ubbZt24bFYkEmc/wcJScnI5PJqF27ttt7CoJASEgIffv2\npW/fvpw8eRKFQoFCoaB27dpIpVLRa0akxiKz1Cco7xHygxeiLOqO0tTR0ybdNL2KVIzPs/KJ1kA9\ni5SBxgBPm+QxnrrTwP09CjFZIUhlJyjAcS8/mS7nWJqMBQ/noJKD2eoQZux2WLhBw6juhQQq7Vht\nkKaX8usRJXqDhKGdjTSubfVwr0RERCoL679hTPO/DyK2qYkF/82mXqgY01iai1Irs3Q5NLTIec5H\nvTJFcUYEgAceeMCVXLMiwsLCGDt2LGPHjiU5OZm1a9fyzDPPYDabGTFiBPHx8bRo0cLV3tvCnvxF\nmAExp463zLnKpKIx/emnnzh//jzjxo27rmsVFRW5rllcXIzRaEShUCCVSlm4cCH5+fk89NBDSKVS\nt0S8ISEhaDQa2rRpQ0JCAqNHj0Yul7NhwwbCw8Np2rQpANHR0URFRbFixQqGDh2K1Wpl3bp1NGvW\njFq1agFwyy23EBgYyFdffcXAgQMpKCjghx9+oFOnTigU5ccPOwWY5s2bl+mTKMyI1GQCCoZSpNpF\nXuhbhF1ajMQedPWTvJzRhkDOS63MD8kjzCahc7HS0yZ5jFrashutzYeVRATb6NrMUa1L8u/tffpX\nwUgk8HBfRyLhL7cF8skWDTKpnegwKwt+CuL5EXmuRMMiIiI1lzS9hMmfh7I7ScGUuwxMvitfrMZU\nDgbBxvO6HBR2eFkfjNIHhRkAwX6NMR7nz5+valtEaiB2u50DBw6QmJjId999R2RkJHFxcQwfPrzM\nk++S55T820lVbppLex3UtI359VDSQ8kf+glXH1NPzLnKpKIxLS4uplevXrz44osMGjTomq+n1+t5\n+eWXy7x+3333ERsby5QpU8o9T6fTMWvWLMBRwSkhIYGjR49isVho0qQJcXFxLuEFICcnhzVr1pCU\nlIQgCLRs2ZK4uDhXWBNAeno6iYmJnD17FrlcTrt27Rg2bFiF4ozItVEyDE3E82RkZGA2Xz2Zo1V6\nkazwR1EUxRKcMxPBBxafVuzM0uVwSGFmXlYoLcxyT5tUZeh0OpeYfS0s2qBh2zEly57IQvHv49L1\n+1U89kko7z6UQ3w3I8u2B7JmdyDtG5p4aVQeAD/+qWLe+iA+eiSbZnX9q2y5t3C9Yy1Ss6mq8V63\nT8XMr0NQKewseDibW1uYKv09fAETdp4LyyZZbuHdTB0NLFXjXyKXyyvNC/1GEcUZkUrDZDKxdetW\nEhMT2bx5M126dCE+Pp677roLtVpd7jnVtWkWBQvf40bHtKYJNVca0wULFrB161ZWrVrldXZXF+np\n6Zw5c4bY2Fi3ktz+jijOeBfXKs4AFKl+JVf3Ktrs5wgw9qtiy6oHo2BnWlg2F6QW3svUEWn1Tcft\n693A7UlSMP7jUB7oVUjfW4rZd1rO2+uD+G/fAp4fkc/fKTL+n73zjo+qSv//+07vmUwKEUILTUMJ\n0kIVDEqTYkgQsYCFVde+iroWlJVFWb+L7Lroqmv5qaCCEoqAgIrSQhdEAelBQEraTDK93Pv7I2bI\nBEINZJLc9+uVVyZzz71zzpybO3M+93k+z19nWUlNDvDksFIaxJRF3/x6VEXW6/H8774ierbxI0my\nL82VRhZn6hfVPd9FToHnP7eycLOeoZ08TL3dTqyxfnlini8hJCbHOtio8/FaYSztLmNlpmgQZ+QY\ncJlqQ6PRMGDAAN5++222bNnCiBEjmD17Nh06dODBBx/ku+++Oy11qnKZ5HIql+a+FOqT/0p9E2bg\nwue0/L2p/B5V5zl3Oajc35MnTzJjxozLUjq7NvHZZ5+xZ88eQiHZf0GmbqDzXo/OfQOlMW8QUh6r\n6e5UC3pJYEqRFbOo4K9xdooU8v8rQHorP588XMTSbTqenhXD4h/1YWEmJMLM1UZijSKjuntoECOG\ny2pLQIxexOUrv6lQc2OQkZG5MFb8ouWGyYms2qnlrXuLeOe+YlmYqQIJiTdiSsnV+ZhYZL2swky0\nIIszMpcFi8XC6NGjmT17Nt9//z3XXHMNkydPpmPHjkycOJFt27adMXKhXKSpvGguXzBf6KK5Pgoz\nUH/GeinjrCwMVtc5V52c7fydOnUqw4cPJzU1tSa6FhVs3LiRI0eOkJ6eLqdBydQpzI6HEUQLLtPs\nmu5KtREjKphaFItfkHjOZsclyGaXAB2bBVjxYj7v/KmYuU8W8PzIUgAOnFCx64iaTil+urYsS3Uo\n/xiYucpISIQb/yi97XALzFxt4M1lJuZvqr/GyzIy0YzTK/D0rBjunBHHNY0CfDvxJCO6emu6W1HN\nx2YXi40enrBb6FFPPMtkcUbmstOoUaNw5Mxnn32GUqnkrrvuok+fPkyfPp1Dhw5FtK9q0Vw5suFC\nFs1yJEnd4XKIUJfjnKtOKo/z559/ZsmSJUyYMKFG+hMNeL1eFi9eTNeuXcMmxDIydQWFZCK28DXM\njtpfVrsiDUJKXi20ckwV4iWbHT/y3eJyWjcMolUTjo5xegW2HFRzSw83UPa8IMD6vRo+WW3gucwy\n/5ll23RM+MTKpC8s7P5dxcTZFu6cYcMjW1fIyEQNK3dqyXg5gXkb9Uy9zc7MR4q4Sq7GdFYWGNx8\nYnYxvsTEoHpU7a9uJv1eJKWlpSxYsIBDhw7hcDgwGo1ce+21DBkyJFzmFajSLPPVV19Fp9MBkJub\ny4oVK7Db7dhsNgYOHEjnzp0j2i9btox169bhdDpJSkpi2LBhEdWO6iKpqamkpqby3HPPkZubS05O\nDjfccAOpqalkZWUxbNiwcNlduLSKT/VJsChHFqEunWipMnau0tmPPPJIhPluXaHi+3s2ytMk+/Xr\nF3F9lpGpK6hCddM3KCWo5u9FVv5qK+Zlm51JRVZUdcD4uLooLzqnVkq0aBCk2KmgkU1EoYDfCpQ8\n+bGVwR29jOjq5bcCJdOXmGh1VZCvningmkZBjhYp+PN7NnI2GLi9j7tmByMjU88pciqY9IWFuRsM\n9Grj48snCmkSL6d1novv9B5mxJSS5TQw2mmo6e5cUeRvtBWw2+2EQiEyMzOJi4vj5MmTzJkzB4Dh\nw4dHtB09evRpQkq5MLNjxw7mzZvH6NGjadq0Kbt27WLWrFnYbDaaN28OwOrVq1m1ahW33XYbiYmJ\nbNiwgffee49nn30Wm812BUZbsyiVSvr06UOfPn145ZVXWL58OTk5Obz00kv069eP7OxsbrjhBrTa\nUyFsF7pori/CjCxCXd7XKf99pYWaquZ00aJFnDhxgnvuuadaXy9aKB9vecnsM1FQUMAPP/xA//79\nq6wKJyMjE72092uYVGxlos3Oq7EOniuOQSkLNBE0SQiRYBZ5YXYMf7ulhE37NHz3ixalQuKNu4sB\neGmOBZNW4o7ebq5pVObp18gmIgDbf1Nzew32X0amPiNJMG+jnpe+sCCKAq+PLeaWHh7ZH+o8WK3z\n8g9rCQM8Ou4vMdWJqoUXgpzWVIHGjRszbtw4UlNTadCgAe3bt6dXr178+uuvp7U1mUzExsZG/JST\nm5tLeno6Xbp0ISEhgeuuu47U1FTWrVsX0aZ///60bduWhIQEhg4dSkJCAhs3brwiY40m9Ho9I0aM\n4KOPPmL9+vX06tWLN998kw4dOjBhwgTWrVuHKEaG/p2PqWvFdnWZ+iLM1LT/y5VMfarK2Nnr9fLy\nyy/z4osv1nqPlfL/UZ/Px969e1mxYgUbN27kxIkTACgUiirfz0WLFmGz2ejRo0eVAo6MTF1GFByI\ngrOmu3FJdPVpeaE4htU6H69bSxDlFKcILHqJL54opGFsiEc+sDJrjYEkq8jMR4rQqmF2rp6DJ1WM\n6e2mW8tTOUxFTgWJMSGsBpEo9LaXkanz7D+hZMy/43jkw1h6X+3nh0knGd1TFmbOhw1aH1NiHfT1\naHnCbkFRz4QZkCNnzonT6cRgOD2c6uOPP0YQBGJiYkhLS2PAgAGo1WoAjhw5Qvv27SPap6SksGnT\nJgCCwSDHjx8nOTn5tDaHDx++TCOpHcTHx3P33Xdz9913s3//fubNm8fjjz9OKBQiKyuLrKwsWrdu\nHW5fVWRDOXXdJLe+VGeC6Bpr5fOu8rl3KRE1ZxN43n33XZo1a8aNN954sV2PGspFlblz57Jjxw7c\nbjcqlYrmzZuTlpZGWloaJpMJOCXkKBQK9u3bx08//cSYMWOwWCw11n8ZmZoiqDyKy/QZotKOueRe\nVMHmNd2li6a3V8czdomp1hJ0ksDDDnO9u0t6NgQB3hpv51C+EotBxKSTUCvL/Ghy92hp3zRAz9a+\niEXf9kNqVu3SMrqnG0FALrMtI3OF8PhhxlIzby03kWQN8fFDhfRv76vpbtUaftT4mGSzk+7V8oy9\n/kZTyuLMWcjPz2fz5s2MGjUq4vlx48YRFxeHIAj89ttvLFmyhJKSEsaMGQOUCTrlKU7lGAwGnM6y\nu1wulwvgjG3quzhTkRYtWjBhwgSefPJJtmzZQk5ODiNGjKBx48ZkZWWRmZlJYmJiuH35ItjlckUI\nalfaK+RKUdORJFeSaBbZysWiMwk0ldtdzHHLOXHiBDNmzGDevHlR9x5cKOUpS+vXr2fr1q0MGjSI\n7t27M2nSJPLy8jh48CC7d++mS5cupKamRnjKzJ8/n6uvvpoOHTrU+vdBRuZiUIUaofP2xqfLpSju\nKWKL/o46cHVNd+ui6e/R4xUkpltL0UgC99XDMPZz0TQh0qNCp5bYcVjNwDRvhKnocbuCfywwk97K\nzw1/LArly6SMzOVnxS9aXvg8hmN2JQ8OcPLwoFL0tTvA+Yrys8bPizY7HX0ani+Oqdc+ZPVCnFm6\ndCnLli2rcrvNZmPixIkRzzkcDt599106dOhwmpFvx44dw4+Tk5NRqVTMnj2brKyscKrB+YTay+H4\n54cgCHTp0oUuXbowadIkfvjhB3JycvjHP/5Beno6WVlZDB48GKPRyN69e3nnnXf4y1/+QqNGjYDI\nxXJdFGqiIZLkclJbPHWqw5/mbGN95ZVXyMzM5Oqra+8iDMrGWH7tW758OR06dKB///4sXboUg8HA\nPffcw9atW1mzZg0HDhygY8eOdOjQgdatW5OXl8fRo0e57777ThO3ZWTqAxISAgJaX3c0vnQE0UyJ\n9XViC19DIVprunsXzU1uA34B3owpRSHB+FJZoDkbgRDEmUXM+lPCTEGJgreWmTh4UsXMR04CZRWe\n5K+aMjKXj/0nlPx9roXl2/X0vtrHxw8X0jJJNvy9EHapAzxvs3N1QM2kIiuaen7trxfiTEZGBr16\n9apye2WRpKCggHfeeYcWLVowevTocx4/ISEBURTx+XxoNBpMJhMejyeijdvtDofoG41GgLO2kTkz\nGo2GAQMGMGDAAEpKSli8eDGffvopzzzzDEOGDCE+Pp6GDRuSlJQU3ud8U1CieeFfmdoiWFQntWmO\nLlaoqWpOf/rpJ5YvX86qVasue98vN+VjW7t2LT6fj27duuH1elm5ciXp6ek0bdqUpk2b0qlTJ/73\nv/+xdu1aDh48yBNPPEGzZs34+9//LgszMvUOCREBBQICEmVf/AWU6LzX4dOvQVQ4arU4A5DpMhBC\n4u2YsihjWaCpGr0Grk/1MmOpiTiziEUnsWSbjjW7tPz7LjtxZvE0Yab871KPwLZDapZu1ePyCdza\ny033VnLdbRmZC8HuEvjXEjMffm8kyRriv+OLGNbZK0eqXSA71X7+GmeneUDF5CIrWvmaXz/EGY1G\nc97mmQcPHuT999+nZ8+eDBky5LTtZ6ogcujQIYxGI2azGSiLpjlw4ADp6enhNnl5eeFIDpVKRVJS\nEgcOHKBVq1YRbVJTUy94fPUVi8XCmDFjGDNmDEePHuW9996joKCA7du3Y7fbycrKOi314WwpKLUl\nmqY+CTN1IXXrfIWaqlK3yktnP/bYY3WqkptaraZx48YkJSWxe/duRFGkWbNmQNmYmzRpglKppHPn\nzqSmpqJUKgkGg2FxW0amPiFUqN8goAw/9mk3ISpKEKS6IVhmu4wIwH9jnEgC/ElOcaqSBwa4MOsl\nXl9kxqiVSI4L8WK2g4EdvcCZhZmQCK/Ms7Bxn4Z4i0hKYpDb34jjwQFOnhxWWkMjkZGpPQRCMGu1\ngX9+ZcYfFJgwvJTxGU45heki+Fnj5zmbnVYBFVOKrOglOcwP6ok4c77s3LmTDz/8kIyMDNLT0ykq\nKgpvMxqNaLVa1q5dy6FDh+jWrRsxMTEcOHCApUuXMnTo0HDbHj168OGHH9KiRQuaN2/O3r172bFj\nBw899FBEmyVLltCoUSMSExPZtm0bJ06c4K677rqSQ65TOBwOBg0aRHJyMjk5OYwdOxaLxUJ2djaZ\nmZk0adIk3LYmSyRXF7UpkuRSqStjPdd5V07F82/BggUUFhYybty4K9vZy0y3bt1o1qwZMTEx+Hw+\n/H5/OOJNEAROnDiB1WqlS5cu4VQupVJ5tkPKyNQ5/Oqd+PRrUIgWBFEHCChEKyHV7/g1PxNU78Hg\nzEJrvvfxAAAgAElEQVQZaoCosCNIWiT8KKSYmu76RZPlMqJA4M2YUiSQPWjOwu193Nzc1UOxS0HD\n2FBYkKloAixJp4SaV+ZZ2H5Izd3Xu7ijjxuAG9p7+b+vzGR3d5/mbSMjI1OGJMHiH3VMXWDh4Ekl\nt/Z08/TwUhJjxHPvLHMa2/8QZq4OqJhcFItekq/x5cjiTAV+++03gsEgy5cvZ/ny5RHbxowZQ7du\n3WjcuDG//PILM2fOxO12ExsbS2ZmZkSUTLt27Rg5ciTLli3D4XBgs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rVjlBT8vcjKdGsJ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\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kGZeNwXcdwH3siPP3rFp2KiY/jLi4ttZLltX8AlhNhQjONC8nc70XuaI85a/Fa8vYQM+E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\n8QAQCoXQNO2AoJ3b7SYUCqXGHOx5c7g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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "beta0 = np.linspace(11000 , 13000, 100)\n", "beta1 = np.linspace(-2450, -250, 100)\n", "\n", "B0, B1= np.meshgrid(beta0, beta1)\n", "\n", "B_all = np.c_[B0.reshape(-1,1), B1.reshape(-1,1)].T\n", "\n", "# # Your Code Here\n", "L = X_model.dot(B_all) - y.reshape(-1,1)\n", "L = L ** 2\n", "L = L.mean(axis=0)/2\n", "L = L.reshape(B0.shape)\n", "\n", "\n", "fig = plt.figure(figsize=(14, 7))\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "ax.view_init(40, 25)\n", "ax.plot_surface(B0, B1, L, alpha=0.3,)\n", "ax.set_xlabel('beta_0')\n", "ax.set_ylabel('beta_1')\n", "\n", "ax = fig.add_subplot(1, 2, 2)\n", "contour = ax.contour(B0, B1, L)\n", "plt.clabel(contour, inline=1, fontsize=10)\n", "ax.set_xlabel('beta_0')\n", "ax.set_ylabel('beta_1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Градиентный спуск" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Градиентый спуск - это итеративный метод оптимизации функции. Он заключается в постепенном перемещении к точке экспетмума в направлении антиградиента этой функции в точке." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Посчитаем, чему равен градиент функции потерь $L(\\beta_0, \\beta_1):$\n", "$$ \\frac{\\partial L}{\\partial \\beta_0} = \\frac{1}{n}\\sum^{n}_{i=1}(\\beta_0 + \\beta_1x^{(i)}_1 - y^{(i)})$$\n", "$$ \\frac{\\partial L}{\\partial \\beta_1} = \\frac{1}{n}\\sum^{n}_{i=1}(\\beta_0 + \\beta_1x^{(i)}_1 - y^{(i)})x_1^{(i)}$$\n", "\n", "Иногда проще это записать в виде матриц:\n", "$$ \\frac{\\partial L}{\\partial \\beta} = X^\\top(X\\beta - y)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Метод градиентного спуска заключается в итеративном и **одновременном(!!!)** обновлении значений $\\beta$ в направлении, противоположному градиенту:\n", "$$ \\beta := \\beta - \\alpha\\frac{\\partial L}{\\partial \\beta}$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Теперь к шагам алгоритма:\n", "\n", "* Задаем случайное начальное значение для $\\beta$\n", "* Пока не будет достигнуто правило останова:\n", " * Считаем ошибку и значение функции потерь\n", " * Считаем градиент\n", " * Обновляем коэффициенты" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def gradient_descent(X, y, iters, alpha):\n", " n = y.shape[0] \n", " Beta = np.random.rand(2)\n", " for i in xrange(iters):\n", " y_hat = X.dot(Beta)\n", " \n", " # считаем ошибку и значение функции потерь\n", " #...\n", " \n", " # считаем градиент\n", " #...\n", "\n", " # обновляем коэффициенты\n", " # ...\n", " return Beta" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "Beta = gradient_descent(X, y, 1000, 0.05)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Переобучение\\недообучение, мультиколлинеарность и регуляризация" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Одна из важнейших характеристик моделей, будь то линейная регрессия, наивные Байес и др. - их **обобщающая способность**.\n", "Наша задача не построить \"идеальную\" модель, на имеющихся у нас наблюдениях, которая идеально их будет предсказывать, но и применять эту модель для новых данных.\n", "\n", "Ниже приводятся примеры 3х моделей." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "[Andrew's Ng Machine Learning Class - Stanford]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Второй момент, который важен для линейных моделей - **мультиколлинеарность**. Этот эффект возникает, когда пара предикторов близка к взаимной линейной зависимости (коэффициент корреляции по модулю близок к 1). Из-за этого:\n", "\n", "* Матрица $X^{\\top} X$ становится плохо обусловленной или необратимой\n", "* Зависимость $y = \\beta_0 + \\beta_1x_1 + \\beta_2x_2$ перестаёт быть одназначной\n", "\n", "С этим эффектом можно бороться несколькими способами\n", "\n", "* Последовательно добавлять переменные в модель\n", "* Исключать коррелируемые предикторы" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Регуляризация" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "В обоих случаях может помочь **регуляризация** - добавление штрафного слагаемого за сложность модели в функцию потерь. В случае линейной регрессии было:\n", "$$ L(\\beta_0,\\beta_1,\\dots) = \\frac{1}{2n}\\sum^{n}_{i=1}(\\hat{y}^{(i)} - y^{(i)})^2 $$\n", "Стало (Ridge Regularization)\n", "$$ L(\\beta_0,\\beta_1,\\dots) = \\frac{1}{2n}\\left[ \\sum^{n}_{i=1}(\\hat{y}^{(i)} - y^{(i)})^2\\right] + \\lambda\\sum_{j=1}^{m}\\beta_j^2$$\n", "или (Lasso Regularization)\n", "$$ L(\\beta_0,\\beta_1,\\dots) = \\frac{1}{2n}\\left[ \\sum^{n}_{i=1}(\\hat{y}^{(i)} - y^{(i)})^2\\right] + \\lambda\\sum_{j=1}^{m}|\\beta_j|$$\n", "\n", "Но об этом, вероятно, в следующий раз" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# В sklearn эти методы называются так\n", "from sklearn.linear_model import Lasso\n", "from sklearn.linear_model import Ridge" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [conda root]", "language": "python", "name": "conda-root-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" }, "nav_menu": {}, "toc": { "navigate_menu": true, "number_sections": false, "sideBar": false, "threshold": 6, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true }, "toc_position": { "height": "42px", "left": "17px", "right": "730.333px", "top": "66px", "width": "146px" } }, "nbformat": 4, "nbformat_minor": 2 }