{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Майнор по Анализу Данных, Группа ИАД-2\n", "## 22/03/2017 Деревья решений, случайный лес" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "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": "markdown", "metadata": {}, "source": [ "# Интро" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Формально, дерево решений - это связный ациклический граф. В нем можно выделить 3 типа вершин:\n", "1. Корневая вершина (root node) - откуда все начинается\n", "2. Внутренние вершины (intermediate nodes)\n", "3. Листья (leafs) - самые глубокие вершины дерева, в которых содержится \"ответ\"\n", "\n", "Во внутренней или коневой вершине признак проверяется на некий логический критерий, по результатам которого мы движемся все глубже" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Обобщенный псевдокод алгоритма построения дерева\n", "\n", "\n", "```{python}\n", "function decision_tree(X, y):\n", "\n", " if stopping_criterion(X, y) == True:\n", " \n", " S = create_leaf_with_prediction(y)\n", " \n", " else:\n", " \n", " S = create_node()\n", " (X_1, y_1) .. (X_L, y_L) = best_split(X, y)\n", " \n", " for i in 1..L:\n", " C = decision_tree(X_i, y_i)\n", " connect_nodes(S, C)\n", " return S \n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Классификация" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Вопрос: как определяются лучшие разбиения (best splits)?\n", "#### Шаг1: выбираем меру неопределенности (impurity measures)\n", "\n", "Пусть $p_k$ - это доля класса $C_k$ в узле дерева $S$.\n", "\n", "1. Missclassification error \n", "$$I(S) = 1 - \\max\\limits_k p_k $$\n", "2. Gini index \n", "$$I(S) = 1 - \\sum\\limits_k (p_k)^2 = \\sum\\limits_{k'\\neq k} p_{k'} p_k$$\n", "3. Entropy \n", "$$I(S) = -\\sum\\limits_k p_k \\log(p_k)$$\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def plot_impurities():\n", " p = np.linspace(0, 1, 100)\n", " p = np.c_[p, 1-p]\n", "\n", " missclass = 1 - p.max(axis=1)\n", " plt.plot(p[:,0], missclass, label = 'missclassification error')\n", "\n", " gini = 1 - (p ** 2).sum(axis=1)\n", " plt.plot(p[:,0], gini, label = 'gini index')\n", "\n", " entropy = - np.nansum((p*np.log2(p)), axis=1)\n", " plt.plot(p[:,0], entropy, label = 'entropy')\n", "\n", " plt.xlabel('$p_k$')\n", " plt.ylabel('$I(S)$')\n", " # plt.legend(loc=2, bbox_to_anchor=(0.,0.))\n", " plt.legend(loc=2, bbox_to_anchor=(-0.3,1))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/andrey.shestakov/anaconda2/lib/python2.7/site-packages/ipykernel/__main__.py:11: RuntimeWarning: divide by zero encountered in log2\n", "/Users/andrey.shestakov/anaconda2/lib/python2.7/site-packages/ipykernel/__main__.py:11: RuntimeWarning: invalid value encountered in multiply\n" ] }, { "data": { "image/png": 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hmjSz0rO/m0Zxeqkm0pBYLCZS2zvxtLaTtcPP7u0+Duzzk9HFRUorGyaTgjQR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\n5P7NnPvH+DQ3uKvhRwMNgOu0NYcUCsbG/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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_impurities()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Шаг 2: Считаем прирост \"информации\" (определенности)\n", "\n", "Выберем признак $A$ и пороговое значение $t$ на нем таким образом, чтобы уменьшить неопределенность:\n", "\n", "**Насколько уменьшится неопределенность:**
\n", "$$ Gain(S, A) = I(S) - \\left(\\frac{|S_L|}{|S|}\\cdot I(S_L) + \\frac{|S_R|}{|S|}\\cdot I(S_R) \\right),$$ где $S_R$ и $S_L$ - это потомки узла $S$ c объектами, удовлетворяющим соответствующим условиям.\n", "\n", "**Замечания:**\n", "* Стратегия выбора - жадная\n", "* Как определяется порог при вещественных признаках?\n", "* Локальная оптимизация - уменьшение Impurity внутри узла\n", "* Результаты не сильно зависят от выбора самой меры неопределенности\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "Воспользуемся данными про вино, которые мы видели в ДЗ№0\n", "\n", "Имплементируйте понравившаюся вам меру неопределенности и посмотрите, где будет находится оптимальный порог." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def impurity_measure(p):\n", " # Здесь надо внести исправления\n", " # Выберите меру неопределенности и имплементируйте ее\n", " # Так как у нас задача классификации на 2 класса, то p - это массив из двух значений\n", " return 1 - np.max(p)\n", "\n", "def wine_demo():\n", " # Данные\n", " df_wine = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/wine-quality/winequality-red.csv', sep=';')\n", "\n", " # Рисовалка\n", " fig, ax = plt.subplots(1, 2)\n", "\n", " fig.set_figheight(5)\n", "\n", " # Заменяем целевую переменную на класс (хорошее-плохое вино)\n", " df_wine.loc[:, 'quality_cat'] = (df_wine.loc[:, 'quality'] > 5).astype(int) \n", " idx = df_wine.loc[:, 'quality_cat'] == 1\n", " df_wine.loc[idx, 'alcohol'].hist(label='good quality', bins=20, alpha = 0.4, ax=ax[0])\n", " df_wine.loc[~idx, 'alcohol'].hist(label='bad quality', bins=20, alpha = 0.4, ax=ax[0])\n", " ax[0].set_xlabel('alcohol')\n", " \n", " # \n", " p = np.array([df_wine.quality_cat.mean(), 1-df_wine.quality_cat.mean()])\n", "\n", " \n", " init_impurity = impurity_measure(p)\n", " \n", " # Зададим значения порогов\n", " t_range = np.linspace(df_wine.alcohol.min(), df_wine.alcohol.max(), 100)\n", " # В этом списке будут храниться величины Gain для каждого порога\n", " G = []\n", "\n", " for t in t_range:\n", " idx = df_wine.alcohol < t\n", " p1 = np.array([df_wine.loc[idx, 'quality_cat'].mean(), 1-df_wine.loc[idx, 'quality_cat'].mean()])\n", " p2 = np.array([df_wine.loc[~idx, 'quality_cat'].mean(), 1-df_wine.loc[~idx, 'quality_cat'].mean()])\n", " \n", " #\n", " G.append(init_impurity - (idx.mean()*impurity_measure(p1) + (1-idx.mean())*impurity_measure(p2)))\n", "\n", " ax[1].plot(t_range, G)\n", " ax[1].set_xlabel('alcohol')\n", " ax[1].set_ylabel('Gain')\n", "\n", " mG = np.nanmax(G)\n", " mt = t_range[np.nanargmax(G)]\n", "\n", " ax[0].vlines(mt, 0, 150, label='best threshold (%.2f)' % mt)\n", " ax[1].vlines(mt, 0, mG, label='best threshold\\n(gain = %.4f)' % mG)\n", " \n", " ax[0].legend()\n", " ax[1].legend()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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EPNddu3aNTp065ek19u7dS/369fP0GkIYmyTkQgghhBAid8VEg6KgyodJ3dKj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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "wine_demo()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Demo" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Для того, чтобы демо полностью работало, вам надо установить пакет для визуализации графов [`graphviz`](http://www.graphviz.org/). Если у вас его еще нет, но вы захотите видеть такие картинки - сделайте это, пожалуйста, дома." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeClassifier\n", "from sklearn.tree import export_graphviz\n", "from ipywidgets import interact, IntSlider\n", "import subprocess\n", "\n", "\n", "def demo_dec_tree(depth=1):\n", " fig, ax = plt.subplots(1,2)\n", " fig.set_figheight(5)\n", "\n", " np.random.seed(0)\n", "\n", " C = np.array([[0., -0.7], [1.5, 0.7]])\n", " gauss1 = np.dot(np.random.randn(200, 2) + np.array([4, 2]), C)\n", " gauss2 = np.dot(np.random.randn(300, 2), C)\n", "\n", " X = np.vstack([gauss1, gauss2])\n", " y = np.r_[np.ones(200), np.zeros(300)]\n", "\n", " ax[1].scatter(X[:,0], X[:, 1], c=y)\n", " ax[1].set_xlabel('$x_1$')\n", " ax[1].set_ylabel('$x_2$')\n", "\n", " # Dec Tree Stuff\n", " tree = DecisionTreeClassifier(criterion='entropy', max_depth=depth, random_state=123)\n", " tree.fit(X,y)\n", "\n", " x_range = np.linspace(X.min(), X.max(), 100)\n", " xx1, xx2 = np.meshgrid(x_range, x_range)\n", "\n", " Y = tree.predict(np.c_[xx1.ravel(), xx2.ravel()])\n", " Y = Y.reshape(xx1.shape)\n", "\n", " ax[1].contourf(xx1, xx2, Y, alpha=0.3)\n", " ax[1].scatter(X[:,0], X[:,1],c=y)\n", " \n", " try:\n", " with open('tree.dot', 'w') as fout:\n", " export_graphviz(tree, out_file=fout, feature_names=['x1', 'x2'], class_names=['0', '1'])\n", " command = [\"dot\", \"-Tpng\", \"tree.dot\", \"-o\", \"tree.png\"]\n", " subprocess.check_call(command)\n", " ax[0].imshow(plt.imread('tree.png'))\n", " ax[0].axis(\"off\")\n", " except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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m3rx5AGzdupWdO3dy8eJF/vjjDyZOnEh6ejoJCQmkpaVx9uxZc9Kw3bt3s337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LcwrtfE4vX06Vbt0QRBGfKlUIrF+fbePHc+yzz+jwyScM2r2bvt99h2d2NtKNddZKJaoKFVAV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\nKl++vMVjTTfdaWlpxMTESH2HAQEBRQ5e7O3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IVpaS4cObAiIpKQbU6ud/LtHRMGdOFzIz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Rrs++orLv79t9L0yKRJNOjYsdTL7wXhZkSwDURGRpJdyfaILFu27LbPcXJyqnQBy5IlS8r1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\nq2OX957Vr776inr16nHly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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "try:\n", " fig = interact(demo_dec_tree, depth=IntSlider(min=1, max=5, value=1))\n", "except:\n", " print 'Что-то не так. Посмотрите на доску'" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Регрессия" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Для задачи регрессии в качестве меры неопределенности могут выступать\n", "\n", "* Среднее квадратичное отклонение от среднего\n", "$$ I(S) = \\frac{1}{|S|}\\sum\\limits_{i \\in S}(y_i - \\bar{y_S})^2 $$\n", "* Среднее абсолютное отклонение от медианы\n", "$$ I(S) = \\frac{1}{|S|}\\sum\\limits_{i \\in S}|y_i - \\bar{y_S}| $$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.tree import DecisionTreeRegressor\n", "\n", "x_true = np.arange(-5, 5, 0.2)\n", "x = x_true + np.random.rand(x_true.shape[0]) - 0.5\n", "y_true = np.sin(x_true)+x_true/3\n", "y = y_true + np.random.rand(x_true.shape[0]) - 0.5\n", "\n", "def plot_dec_reg(depth=1, criterion='mse', ):\n", " \n", " fig, ax = plt.subplots(1,2)\n", " fig.set_figheight(5)\n", " \n", " tree = DecisionTreeRegressor(criterion=criterion, max_depth=depth)\n", " tree.fit(x.reshape(-1,1), y)\n", " y_hat = tree.predict(x_true.reshape(-1,1))\n", " \n", " ax[1].plot(x_true, y_true, c='g', label='$f(x)$')\n", " ax[1].scatter(x, y, label='actual data')\n", " ax[1].set_xlabel('x_1')\n", " ax[1].set_ylabel('y')\n", " ax[1].plot(x_true, y_hat, c='r', label='decision tree \\nregression')\n", " ax[1].legend(loc=2)\n", " \n", " try:\n", " with open('tree.dot', 'w') as fout:\n", " export_graphviz(tree, out_file=fout, feature_names=['x1', 'x2'], class_names=['0', '1'])\n", " command = [\"dot\", \"-Tpng\", \"tree.dot\", \"-o\", \"tree.png\"]\n", " subprocess.check_call(command)\n", " ax[0].imshow(plt.imread('tree.png'))\n", " ax[0].axis(\"off\")\n", " except:\n", " pass" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KhVAqla91jpOTE27fvo133323VOoRERUH54ATERERlUNGRkZo0aIFfv/9d8hkMnV5amqq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\naWpqypAhQzJnzpzU1taWHa1U27ZtS1NTUxYsWPCWs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "try:\n", " fig = interact(plot_dec_reg, depth=IntSlider(min=1, max=5, value=1), criterion=['mse', 'mae'])\n", "except:\n", " print 'Что-то не так. Посмотрите на доску'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Как определяется предсказание?\n", "\n", "* Классификация\n", " * Класс с большинством в листе\n", " * Доли каждого из классов в листе\n", "* Регрессия\n", " * Среднее (медиана) целевой переменной в листе" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Преимущества/Недостатки?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* ?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Практика" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Загрузите файл с [данными](https://cloud.mail.ru/public/HoTX/NjK4v8LWx).\n", "\n", "Представьте, что вы отвечаете за продвижение детских товаров в одном из магазинов некоторой ритейловой сети. Это значит, что вам нужно сделать так, чтобы подгузники, питательные смеси, соски, игрульки, коляски, манежи и прочией товары, расходились как можно лучше.\n", "\n", "Из исследований фокус-группы вы выяснили, что молодые родители привыкают к брендам тех или иных детских товаров довольно быстро. Вам бы хотелось, чтобы потенциальным покупателям понравилось именно в вашем магазине - можно дать им скидку заранее и обеспечить первое место в их списке магазинов. Вот только как определить, что родители ждут ребенка?\n", "\n", "Нужна модель!" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "df_retail = pd.read_csv('Retail.csv', sep=';')" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " 0 1 2 3 4\n", "Male 0 0 1 1 1\n", "Female 0 0 0 0 0\n", "Undefined_Sex 1 1 0 0 0\n", "Home 0 1 1 1 0\n", "Apt 1 0 0 0 1\n", "PO 0 0 0 0 0\n", "Pregnancy Test 0 0 0 0 0\n", "Birth Control 0 0 0 0 0\n", "Feminine Hygiene 0 0 0 0 0\n", "Folic Acid 0 0 0 0 0\n", "Prenatal Vitamins 0 0 0 0 0\n", "Prenatal Yoga 0 0 0 0 0\n", "Body Pillow 0 0 0 0 0\n", "Ginger Ale 0 0 0 0 0\n", "Sea Bands 1 0 0 0 0\n", "Stopped buying ciggies 0 0 1 0 0\n", "Cigarettes 0 0 0 0 0\n", "Smoking Cessation 0 0 0 0 0\n", "Stopped buying wine 1 0 0 1 0\n", "Wine 1 0 0 0 0\n", "Maternity Clothes 0 0 0 0 0\n", "PREGNANT 1 1 1 1 1" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_retail.head().T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "* Оцените долю положительного класса в данных\n", "* Разделите данные на обучающую и контрольную выборку случайным образом в пропорции 80/20 (можно c сохранением пропорции классов)\n", "* Вы должны получить матрицы X_train, X_test и ответы к ним.\n", "* Как бороться с таким дисбалансом в долях классов?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.cross_validation import train_test_split\n", "from sklearn.cross_validation import StratifiedShuffleSplit" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.06" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_retail.PREGNANT.mean()" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [], "source": [ "X = df_retail.iloc[:, :-1].values\n", "y = df_retail.iloc[:, -1].values\n", "\n", "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=123)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# С сохранением пропорций\n", "cv = StratifiedShuffleSplit(y, n_iter=1, test_size=0.2, random_state=123)\n", "\n", "for train_idx, test_idx in cv:\n", " X_train, X_test = X[train_idx, :], X[test_idx, :]\n", " y_train, y_test = y[train_idx], y[test_idx]" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.06\n", "0.06\n" ] } ], "source": [ "print y_train.mean()\n", "print y_test.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "* Сфокусируемся на гиперпараметре \"глубина дерева\"\n", "* С помощью кросс-валидации определите наилучшее значение этого параметра\n", "* Попробуйте воспользоваться валидационными кривыми для выбора лучшего значения этого параметра" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.cross_validation import cross_val_score\n", "try:\n", " from sklearn.model_selection import validation_curve\n", "except ImportError:\n", " from sklearn.learning_curve import validation_curve" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": true }, "outputs": [], "source": [ "model = DecisionTreeClassifier(random_state=123, class_weight='balanced')\n", "train_scores, test_scores = validation_curve(model, X_train, y_train, 'max_depth', \n", " range(1, 10), cv=5, scoring='f1')" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(9, 5)" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_scores.shape" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.42857143, 0.18181818, 0.33333333, 0.16666667, 0.22222222],\n", " [ 0.35714286, 0.25 , 0.37037037, 0.24 , 0.22222222],\n", " [ 0.35714286, 0.31578947, 0.37037037, 0.18181818, 0.14285714],\n", " [ 0.34482759, 0.3 , 0.32258065, 0.19354839, 0.54545455],\n", " [ 0.33333333, 0.26666667, 0.08695652, 0.33333333, 0.38709677],\n", " [ 0.2 , 0.27586207, 0.16 , 0.18181818, 0.34285714],\n", " [ 0.24242424, 0.25 , 0.19047619, 0.11111111, 0.34482759],\n", " [ 0.25806452, 0.1 , 0.31578947, 0. , 0.38461538],\n", " [ 0.28571429, 0.27272727, 0.14285714, 0. , 0.43478261]])" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_scores" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AOefKFUOnTtm6eNGSYXgKhz2FQhx7Ba7nyhVDBw+GVF8f0rlzARUV+R3Gn312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\nIxF84N3LW/jmqTb6x+Mc3DrG1z53nm21G6OVVoh5poGK6oB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Sbhi6ld2yFlraw2Edzm9o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xr4N46IiGiRDR+4VTMNX3Qc/sgY/LNj8EXkx9n37sR86yxbdcCsrgZqq2FvakGyZufN60VNdJMF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\ncBMRERERERGtAQZuIiIiIiIio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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test_mean = test_scores.mean(axis=1)\n", "test_std = test_scores.std(axis=1)\n", "train_mean = train_scores.mean(axis=1)\n", "train_std = test_scores.std(axis=1)\n", "\n", "plt.fill_between(range(1, 10), test_mean-test_std, test_mean+test_std, alpha=0.3, color='r')\n", "plt.plot(range(1,10), test_mean, c='r')\n", "plt.fill_between(range(1, 10), train_mean-train_std, train_mean+train_std, alpha=0.3, color='b')\n", "plt.plot(range(1,10), train_mean, c='b')\n", "\n" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "scorings = []\n", "\n", "for d in range(1,10):\n", " model = DecisionTreeClassifier(random_state=123, class_weight='balanced', max_depth=d)\n", " sc = cross_val_score(model, X_train, y_train, cv=5, n_jobs=4, scoring='f1' ).mean()\n", " scorings.append(sc)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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iKOUA0Mq8vGzpot7SZYNcR8EXMOMypI5xsqv/7joKAADwKUo5ALQie/iA9MYr\nMuk3yhjjOg6+ANNyAADQ0ijlANCKbH6OdEGCzIhU11FwjszYKVJsPNNyAADQIijlANBKbOVHsi8W\nykyYKtMm2nUcnCPTrp1Mxulp+XvvuI4DAAB8hlIOAK3EFq2VjGTGTXEdBUEyY6dIcRfIrmFaDgAA\nmhelHABaga2pkV2/RuaaiTKx8a7jIEim7Zl7y9fLvnfYdRwAAOAjlHIAaAV2ywap4qhMWqbrKGgi\nM/Y6Ka6T7GqeWw4AAJoPpRwAWpi1VjYvW7ryapnuya7joIlM29P3lr/ItBwAADQfSjkAtLSS16SD\n/1IgPct1EpwnM2Zy3bR8FfeWAwCA5kEpB4AW5uVlS8mXSJcPdh0F56l+Wr65kGk5AABoFpRyAGhB\n9t2D0utbZdKyZIxxHQfNoP7e8lXPuI4CAAB8gFIOAC3I5udI8Z1kRo51HQXNxES3lcm4VfbFItkj\nTMsBAMD5oZQDQAuxxypkX1gnM2GqTHS06zhoRmbsZOkCpuUAAOD8UcoBoIXYolzJszLjMlxHQTOr\nn5ZvLpJ995DrOAAAIIxRygGgBdjaGtn1a2SumSATd4HrOGgBZsxk6YLOsqvZiR0AADQdpRwAWoDd\nskn6qFwmLdN1FLQQE91WZuqZaflB13EAAECYopQDQDOz1srmZ0uDhsn0uNh1HLQgk5rOtBwAAJwX\nSjkANLddb0gH9iqQluU6CVpY3bR8uuzmDUzLAQBAk1DKAaCZeXnZUo+LpYFXuY6CVmBS06VOCezE\nDgAAmoRSDgDNyB45LL22RSYtU8YY13HQCkx0dN295S9tlH2HaTkAAAgOpRwAmpEtyJFi42VGjXcd\nBa3IjGZaDgAAmoZSDgDNxFYdky0ukBmfIRPd1nUctKL6afmWDUzLAQBAUCjlANBM7IZnJc+TGZ/h\nOgocMKPTpc5dZFctcR0FAACEEUo5ADQDW1sru26VTMo4mfjOruPAARMdLZMxXXbLRtl3Sl3HAQAA\nYYJSDgDNwL5cLB39QCadx6BFMpOaVjctX8m0HAAAnBtKOQCcJ2utbF62NPAqmZ69XMeBQ6ZNtMzU\nL8lu3SR7+IDrOAAAIAxQygHgfO3eIe3fo0AaU3JIZvQkqfOF7MQOAADOCaUcAM6Tl58tJV0kXTHU\ndRSEANMmWub66XXT8kNMywEAwOejlAPAebDvvSNt3yyTNk0mwG+pqGOunSQlJMquZloOAAA+H3+C\nBIDzYNfy5KJKAAAgAElEQVStkjrGyoya4DoKQkjdveVMywEAwBejlANAE9nqY7Kb8mTGZci0bec6\nDkKMuXZi3bSc55YDAIDPQSkHgCayG/OkU7UyE653HQUhqO7e8i/Jvlwse2i/6zgAACBEUcoBoAns\nqVOy61bKjBgrc0Fn13EQosw1p6flPLccAAA0glIOAE1gX3leKn9fJp3HoKFxpk0bpuUAAOBzUcoB\nIEjWWtm8bOnywTIX9XYdByHOXDNR6tJV3srFrqMAAIAQRCkHgGC9XSLt26UAU3KcgzPTcr38vOzB\nf7mOAwAAQgylHACC5OVnS917SoOGu46CMGGumShd2E0e95YDAIB/QykHgCDYsnelV16UmZQpE+C3\nUJyb+mn5K8/LHtznOg4AAAgh/IkSAIJg162WOnSsm3wCQTCjJkiJ3ZmWAwCABijlAHCO7PFq2U3P\nyYy9TqZdO9dxEGY+mZa/IFvKtBwAANRp05SDli5dqoKCAlVUVCg5OVmzZs3S4MGDG31/SUmJli5d\nqtLSUlVVVSkxMVHjx49XVtYnmyTV1tbqqaeeUnFxsY4fP67evXvr61//uvr06dOUiADQ7OymPKmm\nRmbi9a6jIEyZlPGyq/8ub9USRd39/7mOAwAAQkDQk/Lc3FytXbtWd9xxhx599FENGTJE8+fPV1lZ\nWaPHHDhwQH379tXcuXP1yCOPKDMzU88884yKiorq3/P000/r5Zdf1g9+8AM9/PDDSkpK0q9//Wud\nOHGiaZ8MAJqRPXVKtmClzIhUmU5dXMdBmKqblt9WNy0/sNd1HAAAEAKCLuX5+fnKysrS8OHDlZSU\npJkzZyopKUmFhYWNHjN58mTdfvvtGjBggJKSkjRhwgRddNFFOnLkiCTJ8zytX79es2bN0sCBA9Wz\nZ099+9vflud5evHFF5v84QCg2Wx/UfrgPZk0HoOG82NGja+7t3wV95YDAIAgS3lNTY1KS0s/c0l5\n//79tXfvuf2Nf21trYqLi1VeXq6xY8dKko4cOaLq6mr17t37k2CBgPr163fO5wWAluTlZUuXDZLp\ndanrKAhzJipK5obbpG0vMi0HAADBlfLKykpJUkxMTIPX4+LiVFFR8YXHr1ixQrNmzdKTTz6p733v\ne+revbsk1R/b1PMCQEuyb5dIb5cokM6UHM3DpIyXuiaxEzsAAGja7utRUVFN+mZpaWmaP3++ZsyY\noccee0ybN29ulvMCQEuy+TlS1yRp8AjXUeATJiqq7t7y7S/KHnjbdRwAAOBQULuvx8XFSZKOHTvW\n4PXKysr6r32e2NhYxcbGqlevXtq/f7/y8/OVkpKi+Ph4SVJVVZU6duzY4LzdunVr9HybNm1ScXFx\ng9e6deum2bNnKz4+Xtbac/5sCF3R0dFKSEhwHQPNJNzW89R776r8lRcU+405irnwQtdxQlK4rWmo\nsBk36sO1SxWVu1wX3Pug6zj1WE9/YT39hfX0H9bUP4wxkqRFixbV7512xujRo5WamtrosUGV8ujo\naCUnJ6ukpESDBg2qf3337t0aNmxYMKdSdXV1fWnu1q2bOnTooJKSEnXt2lWSZK3Vnj17lJKS0ug5\nUlNTG/1wFRUVqqmpCSoTQlNCQoLKy8tdx0AzCbf19P75lNS+vaqHjNLxMMrdmsJtTUOJl3GrTj35\nW32wfYvMxaGxXwHr6S+sp7+wnv7DmvpHdHS0EhMTNXv27KCPDfry9bS0NK1cuVJbt27V4cOHtWzZ\nMh08eFDjxo2TJBUVFWnGjBnauXNn/TELFizQ6tWrtWvXLpWWlmrFihUqLi5WRkZGXYhAQBMmTNDi\nxYu1Y8cOHTp0SAsXLpQkjRo1KugPBQDNwZ6olt34nMzYKTLtY774ACBIJmWc1LWHvJzFrqMAAABH\ngpqUS1JGRoaqqqq0cOFCVVRUqGfPnpo3b179pm3WWnme1+DS8f79+6u4uFjLly9XbW2tkpOTdc89\n9zSYrs+cOVOnTp3SggULdPz4cfXu3Vv33XefOnTo0AwfEwCCZzflSx+flJlwveso8KkzO7Hb/3+B\n7P632d0fAIAIZKxPb7wuKyvj8nWf4LIefwmX9bTeKXn3fVumz+UK3PlD13FCWrisaaiyp07Je+B/\nSd17Kup//W/XcVhPn2E9/YX19B/W1D/OXL7eFE3afR0AfG/7S9L7R2TSM10ngc/VTcu/JL36kuz+\nPa7jAACAVkYpB4Cz8PKypb4DZS7p5zoKIoAZOVbq1pPnlgMAEIEo5QDwb+y+3dKeHQqkZ7mOgghh\nAnX3luvVl2T/tdt1HAAA0Ioo5QDwb2x+tpTYXbpqpOsoiCBm5BipO9NyAAAiDaUcAD7FlpfJvlws\nM2maTCDKdRxEkLpp+e3Sa1vqrtYAAAARgVIOAJ9i162W2raTGT3JdRREIDMiVeqeLG8lzy0HACBS\nUMoB4DR74rjsxmdlxlwn076D6ziIQPX3lr++lWk5AAARglIOAKfZ5wukE8dlJt7gOgoiGNNyAAAi\nC6UcACRZ75RswUqZ4aNluiS6joMI1nBavst1HAAA0MIo5QAgSa9tkd57RyYt03USoG5annSRvBym\n5QAA+B2lHAAkeXk50qWXy/Tp7zoK8Mm0/I2XZfe+5ToOAABoQZRyABHP7n9b2vWGAulZrqMA9czV\no+um5dxbDgCAr1HKAUQ8m58tdekqXTXKdRSgnglEyUy7XXrjFdm3S1zHAQAALYRSDiCi2Q8/kN2y\nUWbSNJmoKNdxgAbM8NPT8lVLXEcBAAAthFIOIKLZ9aul6LYyqemuowCfYQIBmWkzmJYDAOBjlHIA\nEcuePCG74VmZ1MkyMR1cxwHOygy/VupxMfeWAwDgU5RyABHLvrBOqq6SmXSD6yhAo0wgoMC026U3\ntzEtBwDAhyjlACKS9TzZ/JXSsFEyF3ZzHQf4fMOulXr24rnlAAD4EKUcQGR6/WXpyCEF0ngMGkJf\n/bR8xzbZPTtdxwEAAM2IUg4gInn52VLvy6RLL3cdBTg3Q6+pm5ZzbzkAAL5CKQcQceyBvVLJazLp\nWTLGuI4DnJO6afkMacd22T07XMcBAADNhFIOIOLY/BwpIVFm2LWuowDBGTqKe8sBAPAZSjmAiGKP\nlsu+tEFm4g0yUVGu4wBBqZ+W73xVdjfTcgAA/IBSDiCi2MI1UptomTHprqMATTN0lJR8CfeWAwDg\nE5RyABHDfnxStmitTGqaTIdY13GAJqnfiX3nq7K73nQdBwAAnCdKOYCIYV9cL1Udk5k0zXUU4Pxc\nNUpK7i1v1RLXSQAAwHmilAOICNbzZPNypKtSZBK7u44DnBem5QAA+AelHEBkeHOb9O5BBdKyXCcB\nmsdVKXXTcu4tBwAgrFHKAUQELz9b6tVX6jfQdRSgWZhAQIHMGVLJa7K73nAdBwAANBGlHIDv2YP/\nknZsl0nPkjHGdRyg+VyVIl3Um+eWAwAQxijlAHzP5udInbrIDB/tOgrQrIwxddPyt16XfYtpOQAA\n4YhSDsDXbMWHspsLZSbeINOmjes4QPMbkiJd3Id7ywEACFOUcgC+ZgvXSoEombHXuY4CtAhjjALT\nzkzLX3cdBwAABIlSDsC3bM3HsoVrZUZPkukY6zoO0HKGjKyblnNvOQAAYYdSDsC37IuF0rEKmUmZ\nrqMALap+Wr7rDablAACEGUo5AF+y1tZt8DZ4hEy3Hq7jAC1vyEjp4kvl5Twta63rNAAA4BxRygH4\n047t0uEDCqTf6DoJ0Crqd2Lf9abEtBwAgLBBKQfgS17eCuniPtJlV7iOArSewSOkXn3lrVzMtBwA\ngDBBKQfgO/bQAenNbTLpWTLGuI4DtJpP7i1/Uyp5zXUcAABwDijlAHzHFuRIFyTIXJ3qOgrQ+gZf\nzbQcAIAwQikH4Cu28iPZF9bLTJgq0ybadRyg1dXfW757B9NyAADCAKUcIc2++pKqc5bIVh1zHQVh\nwhaulQJGZtwU11EAd668Wrqkn7wcpuUAAIQ6SjlCkj1xXN6ix+X97peq+tsf5M37pryli2QrPnQd\nDSHM1tTIFq6RuWaiTGy86ziAM/XT8j07pJ2vuo4DAAA+B6UcIcfu2y3vF3NltxbLfO176vLEP2Um\nTJUtWivv3jvlPf1H2Q/ecx0TIci+tEGqOCqTluk6CuDeoOFS78u4txwAgBBHKUfIsN4peWv+Ie/h\n/5RiOipw/28VSE1XoFOCArd8TYGHFspMvVX2pY3y7rtL3pOPy7570HVshAhrrWzeCunKq2W6J7uO\nAzhXvxP7np1MywEACGFtXAcAJMmWl8lbuEDa/abMlFtkMmfKtGn4n6fpGCtzw+2yaVmyG56VfW6F\n7AvrZIZdKzN1uszFfRylR0goeU06tF+B2+5wnQQIHYOG1U3Lc55WYMAQHhEIAEAIYlIO5+zWTfJ+\nNkcqe1eBH/5SgZu/+plC/mmmfYwCk29U4MEnZL58t+yBt+X9Yq5O/dfPZffsbMXkCCVeXraUfIl0\n+WDXUYCQUT8tf7tE2rnddRwAAHAWTMrhjD1xXHbJn2WLC6Th1yrwle/KdIw75+NNdLTM2Cmyo9Nl\nt2yUXfMPeQ/Pky4bpMDU6dLAq5gKRQj7zkHp9a0yX/8+aw78u/pp+WIFBvD7IgAAoYZSDifsvt3y\n/udR6aMPZWbPkbl2UpP/oGiiomRGjZcdOVZ69SV5q/8u77cPSL361pXzq1JkAlwU4mc2P0eK7yQz\nYqzrKEDIObMTu/f4z6Qd26UrhrqOBAAAPoVSjlZlvVOyuctlc56WknsrMOcBmW49muXcJhCQho5S\n4KoUaed2eav/Ie8PD0pJF8lMvVVmxFiZqKhm+V4IHbayQvbFdTIZ02Wio13HAULTFcOkPv3lrVys\nAFcRAQAQUijlaDXnsplbczDGSAOHKmrgUNk9O+StWSq7cIFs9tN13/faSZQ3H7EbciUrmXEZrqMA\nIevMveXe4z+V3txWd0k7AAAICZRytAq7dZO8v/1eahejwA9/KdP/ylb5vqbvQEXN+Ynsgb2ya/4h\n+3//ILtqiUz6jTLjpsi0a98qOdAybE2N7PrVMtdMkImLdx0HCG1XDJUuvbxuWn7FUKblAACECG60\nRYuyJ47LW/S4vD/NlwYMUeCBx1utkH+aubiPAt+ep8DPfy8zcKjs8r/Iu/eb8lYtka061up50Dzs\nlo11+xKkZbqOAoS8+p3Y974lvfmK6zgAAOA0JuVoMc25mVtzMd2TZb7+fdnMGbLP/lN2zVLZZ/8p\nM36qTHqmTHxnp/lw7qy1svnZ0qBhMkkXuY4DhIeBV9VNy3MWK3DFMOe/JwMAACblaAHWOyVvzT/k\nPfyfUodYBe7/rQKj00LqD3+mS1cFZt6lwENPyIyfKlu4Rt69d8p7+k+yH5S5jodz8dbrUuk+BdKz\nXCcBwsaZndi1b5f0BtNyAABCAZNyNKvW2sytuZj4zjK3fE12yi2y61fJ5q+U3ZArM2p8Xf7uya4j\nohFefo7Us5c04CrXUYDwMuCqT+4tH8S0HAAA15iUo9nYrZvk/WyOVPauAj/8lQI3fzWkC/mnmY6x\nCtxwuwIP/Y/MzV+TfWObvJ98V96f5sse2Os6Hv6NffeQ9OpLMmmZFAogSHXT8plMywEACBHh0ZgQ\n0uyJ47JL/ixbXCAzfLTMV74r0zHWdawmMe1jZCbfKDthquzz62Rzl8n+Yq505dUKTJ0u03eA64iQ\nZAtWSnEXyKSMcx0FCE8Dhkh9B8jLeZppOQAAjlHKcV7svl3y/uc3IbWZW3Mw0W1lxk2RTU2X3bJB\nds1SeQ/Pk/pfqcDUW6UBV/nic4YjW1Up+3yBzHU3y0S3dR0HCEtnpuXeY/dLb7wsXXm160gAAEQs\nSjmaxHqnZNcuk125WLqojwJzHpDp1sN1rGZnoqJkRk2QHTlO2r65bgO7BQ9Il/RTYOp0achImQB3\ngbQmu+FZyfNkxme4jgKEt8sHS30Hyst+WoFBw/mLRgAAHKGUI2jhtplbczCBgDTsGgWGjpJ2bK8r\n5//n11KPi2UybpUZMUYmKsp1TN+ztTWy61bVbcQX38l1HCCsndmJ3Xvsfun1rdLgEa4jAQAQkfzd\npNDs7NZN8v72e6ldjAI//JVM/0GuI7UqY4x0xVBFXTFUds8OeWuWyi58TDbnaZkpN8tcM0kmOtp1\nTN+yW4ulo+UyaZmuowD+cPlgqd/AuueWX3k103IAABzgulucE3viuLxFj8v703yZAVcp8MB/RVwh\n/3em70BFzfmJAvcvkLn4Utmn/iDvx3fKy8uWPXnCdTzfsdbK5mVLA4fK9OzlOg7gC8YYBabNkPbv\nkV7b6joOAAARiUk5vpBfN3NrLubiS2W+PU/2nYN1u7UvWyS75u8ykzJlJl4v0yE8d6IPObvflA68\nrcD3H3CdBPCXywdLl11R99zywWz4BgBAa2NSjkZZ75S81X+v23W8Q6wC9/9WgdFpFPJGmKRkBb7+\nfQV+9SeZEWNkV/9d3rxvylv+F9mKD13HC3teXo6UdJF0xTDXUQBfaTgt3+I6DgAAEYdJOc6qwWZu\nGbfKTJvh+83cmovp0lVm5rdlr79NNi9bdt0a2fyVMqnpdY/x6pLoOmLYse8dll7dLPPl7/CXQkBL\n6H9l3bQ8Z7Hs+OtcpwEAIKIwKcdn2K2b5P1sjlT2rgI//JUCN32FQt4E5oLOCtw6W4GHF8pk3Cr7\n0gZ5931L3qLHZd895DpeWLEFq6SOcTKjxruOAvjSmeeW68Db+nhrses4AABElCY1raVLl6qgoEAV\nFRVKTk7WrFmzNHjw4Ebf/8orr2j16tU6ePCgjh8/rp49e+qWW27R1Vd/cu9aTU2NnnnmGb3wwguq\nqKhQ165ddf3112vixIlNiYgmsCeqZZc8IVtcIDN8tMxXvivTkfuhz5fpGCsz7XbZ9CzZDbmyz2XL\nPr+u7t/x1OkyF/V2HTGk2epjssX5MulZMm3buY4D+Jbpf6U0YIiq/vI72fsf50kSAAC0kqif/vSn\nPw3mgNzcXGVnZ+uuu+7SLbfcouPHj2vRokUaM2aMOnbseNZjNm7cqK5du+rGG29URkaGTp48qUWL\nFmnEiBHq1KnuWcNPPPGE3njjDd15553KzMxUbGysnnzySSUnJys5OTnoD1ZdXS3P84I+LlLZfbvk\nLfiJtG+3zFe+I3PTV0KmAMXExOj48eOuY5w30yZa5tIBMhOmSp26yG7dVLcx3L92y1zYTSbhQtcR\nW0Ww62nXrZJ2blfgjh/JtI9pwWRoKr/8jEIyvfrKW/MPKSpK5rLIfsKGX/Dz6S+sp/+wpv4RFRXV\naB/+IkFPyvPz85WVlaXhw4dLkmbOnKlt27apsLBQ06dPP+sxX/rSlxr8esaMGSouLtYbb7yhXr3q\nHm306quvKisrS1deeaUkqUePHtqyZYt27NihlJSUYGPiHFnvlOzaZbIrF0sX9VFg7k9luvZwHcvX\nTHRbmfEZsmMmy760QXbtUnkP/afU/0oFpk6XBgzhvunTbG2tbMEqmZHjZC7o7DoO4Humx8WKmXab\njq/+h2zKOJnE7q4jAQDge0HdU15TU6PS0lL16dOnwev9+/fX3r17z/k8p06dUlVVVYO/SejXr5/y\n8vK0b98+SXWT7oMHD2rIkCHBREQQbHmZvN/cL5v9f2Wuu1mBeQ9TyFuRiYpS4JoJCvz0vxW4+17p\nxHF5C34i78F7ZLe/KMuVHrKvPC99+L5MWqbrKEDE6HjrbCkuXt6SJ1xHAQAgIgQ1Ka+srJRUd5nF\np8XFxdWX6XOxcuVKBQIBjRw5sv6173znO3rwwQd17733qk+fPjp58qRuvvlmDRvG449agt26Sd7f\nfi+1j1Hgh7+S6c9liq6YQEAadq0CQ6+RdmyXt+bv8n7/a6nHxXU7348YIxMV5Tpmq7PWyuZl1105\nwH33QKsxMR0UuO1OeX94UHb7ZpmruFoNAICW1KTd16POoyA8//zzWrZsmb7//e+rQ4cO9a/n5OQo\nJiZGf/7zn3XjjTeqc+fOWr58uf71r381+Xvhs+yJanmLHpf3p/kyA4cq8JP/opCHCGOMzBVDFXXP\ngwr850NSQqLswsfk3X+3vA25sjU1riO2rrd3Sv/arQBTcqD1DR0lDRoub8kTsidPuE4DAICvBTUp\nj4uLkyQdO3asweuVlZX1X/s869at01//+lf98Ic/bLBb+/vvv69ly5bp8ccf1wUXXKCUlBSlpKTo\nkUce0V/+8hc98MADZz3fpk2bVFzc8NEt3bp10+zZsxUfHy9rbTAfz/dqdu9QxW9/Jnu0XHHf/bHa\nTcgIi3uXo6OjlZCQ4DpG60pJlVJSVbN3l6qX/1UfP/UHmdV/V/vMGYpJzwzrDc/OdT0/KsrVqR4X\nq/PY9LqrCRCyIvJn1Meio6PVpUsXnbr7P1U+9ytqt26lYmfd5ToWmoifT39hPf2HNfWPM71q0aJF\nOnLkSIOvjR49WqmpqY0eG1Qpj46OVnJyskpKSjRo0CfT1d27d3/hZeZLlixRfn6+7rvvPvXr16/B\n187sOHjiRMO/jU9ISNB7773X6DlTU1Mb/XAVFRWqibTJYiM+s5nb/ferumsPVX/4oeto5yQhIUHl\n5eWuY7jR6ULpG/+hQMaXZNcuVdVff6+qpYtkJmXKTLxepkP4PbLuXNbTlr0rb/MGmZl36cOjR1sp\nGZoqon9Gfah+PdvGyEy5RcezF+vkVdfIJAX/JBS4x8+nv7Ce/sOa+kd0dLQSExM1e/bsoI8NevyU\nlpamlStXauvWrTp8+LCWLVumgwcPaty4cZKkoqIizZgxQzt37qw/5r//+79VUFCguXPnqlOnTior\nK6v/R5J69uypSy65RL///e+1fft2HTp0SAUFBSosLNSECROC/lD4RN1mbv+bzdzCnElKVuAbcxX4\n1Z9krh4ju/rv8uZ9U97yv8hW+K+02nWrpA4dZa6Z6DoKENFMxi1SwoXynv4jV58BANBCgn4kWkZG\nhqqqqrRw4UJVVFSoZ8+emjdvnrp3r3tsirVWnuc1+J93SUmJKioq9Itf/OIz53vmmWcUCAT04x//\nWEuWLNGf/vQnVVVVKSkpSXfeeafGjh17Hh8vsnlbNsk+xWZufmIu7CYz69uyN9wmm7dCdt0a2fyV\nMmMmy0y+SaZLouuI581WV8luzJOZdINMu3au4wARzUS3VWDmXfIe/5nslo0yI/l/MgAAzc1Yn/7V\nd1lZWcRevm5PVMsufkL2+QKZq1NlvvwdmY7hd5nzGVzW0zhbVSm7brVswUrpRLXMqAkyU26R6d7T\ndbRGfdF6es+tkF3+VwUeekKmU5dWTIam4mfUX862nqf+8JD0dokCv/g/MjEdGjkSoYifT39hPf2H\nNfWPM5evNwW7J/mM3bdL3s/nyr5cLDP7+zLfuiesCzk+n+kYp8C02xV46H9kbv6q7Bsvy/vJd+X9\n+RHZ0nN/TGGosKdOyRasrHsMHIUcCBmB274pnaiWzXnadRQAAHwn6MvXEZrqN3PL+X/s3Xl8FfW9\n//H3Z5KwJCRCYoCQCIIssghlVRZlEUEWWQRBiAtYW6X1VqwL95afba2tS69ef73an9altSg7kSWs\nEjYFREXUagEVpZZFIYIaCCgh8/39cRSNgJKQZM6ZvJ6PB//MOTPnffy6vc/MfGaa1PAceRN/y73j\nVYjVqCnrN1yu9yC5dSvklubI/e5mqW1neQOvkJ1zbtART83rL0n782WX8Bg0IJpYarrssivlcqbI\nde0ja9gk6EgAAIQGZ8pDoMQwt0tHMsytCrOEavJ6DZD3+8dk190i5X8s/747VPzAZLnNb0T9oCZ/\n+XypxXmyhucEHQXAd9jFQ6T6mZGhb74fdBwAAEKDUh7j/FfXyr/rF9Ine+Td9gd5w6+SxXMBRFVn\n8fHyuvaW99uH5U34T+nwIfkP/Vr+vbfLvbEhKv+H2r2/VfrgHXl9OUsORCOLj5eXPUF6f6vc+hVB\nxwEAIDRobzEqbMPcUDHM86QO3eS17yr983X5i2fJ//M9UmYj2YCRkb934uKCjilJcsvnS3UzpLad\ng44C4CSsRRvZBb3lcp6W+9H5slopQUcCACDmcaY8BjHMDaVlZrI2HRR3x33ybr9XqnOm3JMPyr9z\ngvwXlskF/KQC98keuU0vyfoOifyQACBq2RXjpGJfbu4zQUcBACAUOFMeQ0oMc2vUlGFuKBNr3lpx\nzVvLffi+/CWz5Z79f3K5M2T9h8ku7C+rXqPSM7mVC6WaibJuF1f6ZwMoHUupIxt+ldz0x+W695U1\naRF0JAAAYhqnpGKE2/edYW533Echx2mxRuco7sb/lHfXI7KW7eRm/03+f14vf9EsuUMHKy2HO3xI\nbu1y2UXB/CAAoPSs56XSWU3kT31Uzi8OOg4AADGNUh4D/FfXyv8dw9xQMSzjLHnXTZT3h7/IOvWQ\nWzgzUs6fmyJX8FmFf75bt1w68qWs96AK/ywA5cO8OHnZN0o7tsutXhJ0HAAAYhrNLooxzA2Vyc6s\nJ8u+UW7QKLm8+XIrF8mtWBC5pL3fMFlqerl/pvOL5VYslHXsIUs9s9yPD6DiWJMWsgv7y82bKtex\nu+yMOkFHAgAgJnGmPEp9M8xtvWw8w9xQeax2qryR4+Xd/6Ss/wi5l1bJ/9UN8v/+sNye3eX7YW+8\nLH2yR3YJj0EDYpFdfrUUFyc3529BRwEAIGZxpjzKMMwN0cKSkmVDxsj1Gyq3Zpnc8nly61bIOnWX\nDRwpy2p82p/hL58vNWslO7vZ6QcGUOksKVk2cpzc0/8r1+MSWYvzgo4EAEDM4Ux5FGGYG6KR1UiU\n13+4vHufkI39qdwH78i/62YVP3y33Ptby3xct/1dadsWeZcMK8e0ACqbde0jnXOu/KmPyR0N9vGK\nAADEIkp5lGCYG6KdJVST12ugvN8/Jhs/Udr7kfz77lDxA5Pltrwp51ypjueWz5fS60vtOldMYACV\nwoN1bVwAACAASURBVDxP3lUTpD275PIWBB0HAICYQ+sLGMPcEGssPl7WrY/cBb2k1zfIXzxb/v/c\nKTVuLm/gFVLbzjLv+3/vc/vz5V5bJxt1vcyLq5zgACqMZTWW9RkslztDrstFFTIYEgCAsKKUB8ht\nf1f+Ew9IBZ9Hhrl17SMzCzoWcErM86SO3eR16Cr9c1OknP/5D1JmI9mAkZEfmeJOXLjdyoVS9Zqy\n7hdXcmoAFcWGjJV7da38mU8qbsJ/BR0HAICYweXrAXB+sfxFs+Tfd4dUK0Xerx+S1+1iCjlikpnJ\n2nRU3B33ybv9XqlOmtyTD8q/c4L8F5+XKyp5j6k7fEjuhedlF/aT1agZUGoA5c1qJspGXSdteknu\nrdeCjgMAQMzgTHklc/vy5f/1f6T3NssGXCG77EruHUdoWPPWimveWu7DbfIXz5F75s9yC6bL+g+L\nPO+8eg19sWqx9OVhWZ/BQccFUM6s84Vya5fLn/4XeS0ellWrHnQkAACiHm2wEvmvrpV79s9SjZry\nbvuDrHmboCMBFcIaNVXchP+U+2iH3JI5crP/JrdotqzvEB3asErWsbssjXtOgbAxM3ljb5D/21/I\nLc2RDRkbdCQAAKIepbwSuC8OyU17XO6llQxzQ5ViGWfJrrtFbshYuWXPyS2cKXe0SN74iUFHA1BB\nrH6WrP9wuSU5chf04tGeAAD8AEp5BWOYGyDZmfVk2RPkBo1WcsF+HWzYNOhIACqQDRwl9/Ia+dMf\nl/eL3/DfPQAAvgeD3ioIw9yA41ntVFX7UZegYwCoYFa9urwrfyK9vUl6/aWg4wAAENU4U14BGOYG\nAKjq7EfnS+26yJ/xpLxW7XnaAgAAJ8GZ8nLmv7pW/u9+IX2yV95tf5A3/CoKOQCgSvJGXy8dLJBb\nODPoKAAARC3aYjkpMcyt84WyqybIEhnmBgCouiy9vmzQKLnc6XJd+8gyGwYdCQCAqMOZ8nLgPnhH\n/u8mym16KTLM7Se3UcgBAJBk/YZLZ9aXP+0xOeeCjgMAQNShlJ+GY8Pc7p/01TC3/8swNwAAvsUS\nEuSNvUF69225l1cHHQcAgKjD5etl5Pbly3/qQWnbVtnAkbLBDHMDAOBErNWPZJ0vlJv1V7m2nbma\nDACAb+FMeRn4r74o/65fSPvyI8PchjHMDQCA72NXXCcdOSI3b2rQUQAAiCo0yVJgmBsAAGVjddJk\nQ8fKzf6bXPe+skbnBB0JAICowJnyU1RymNtEhrkBAFBK1mew1OAs+VMflfP9oOMAABAVKOU/4MTD\n3PowzA0AgFKyuDh52ROk7e/KrX0+6DgAAEQFLl//HgxzAwCgfFmzVrJuF8vlTJFr31WWfEbQkQAA\nCBRnyk+CYW4AAFQMGzlOkuRy/h5sEAAAogCl/DvcF4fk//X/yj3+37I2HeT95k+y5q2DjgUAQGhY\n8hmyy6+RW5cnt21z0HEAAAgUpfxbGOYGAEDlsAsvkc5uJn/qY3LFxUHHAQAgMJRyMcwNAIDKZl6c\nvKsmSLs+lFu1MOg4AAAEpsrfJM0wNwAAgmGNmsp6DpCbP02uUw9Z7bSgIwEAUOmq9JlyhrkBABAs\nG3aVlFBNbtZfg44CAEAgqmQpZ5gbAADRwZJqyUaOl3v1RbktbwYdBwCASlflSjnD3AAAiC7WtbfU\nrJX8aY/JFRUFHQcAgEpVZUo5w9wAAIhOZiYve4KU/7Hc8nlBxwEAoFJViRuoSwxzG3SFbNBo7h0H\nACCKWGYj2cVD5BbNlOtykezMekFHAgCgUoT+TPlxw9yGZlPIAQCIQnbZlVJisvwZTwQdBQCAShPa\nUu6+/IJhbgAAxBCrUVPelddLb74i9+YrQccBAKBShPaUsf/EA3JvbYoMc+vam3vHAQCIBR26Sa3b\ny5/+uLxz28mqVw86EQAAFSq0Z8qVWIthbgAAxBgzkzfmBunz/XJLZgcdBwCAChfaUu5dc5OsbkbQ\nMQAAQClZvQayS0fKLXtO7uNdQccBAKBChbaUM8wNAIDYZQNGSLXTIs8udy7oOAAAVJjQlnIAABC7\nrFp1eWNvkLa8KbdxXdBxAACoMJRyAAAQley8TlL7C+RmPSn3xaGg4wAAUCEo5QAAIGp5o38iHSqU\nWzA96CgAAFQISjkAAIhalpYuG3yl3IpcuZ3/CjoOAADljlIOAACiml0yRKqXKX/qo3K+H3QcAADK\nFaUcAABENYtPiAx927ZF7qVVQccBAKBcUcoBAEDUs3Pbyrr0lMt5Wq7wQNBxAAAoN5RyAAAQE+yK\n8dLRIrm5zwQdBQCAckMpBwAAMcFqp8qGZsu9sExu+3tBxwEAoFxQygEAQMywXgOlrLO/GvpWHHQc\nAABOG6UcAADEDIuLk5c9Qfpwm9yaZUHHAQDgtFHKAQBATLFzzpVd2E9u7jNyBZ8GHQcAgNNCKQcA\nADHHLr9GivPk5jwddBQAAE4LpRwAAMQcq5Uiu/xauZdWyb37dtBxAAAoM0o5AACISda9r9Skhfyp\nj8kdPRp0HAAAyoRSDgAAYpJ5XmTo20c75VbmBh0HAIAyoZQDAICYZQ2byPoMklswXW7/J0HHAQCg\n1OLLstOcOXO0YsUKFRQUKCsrS9nZ2Wrbtu1J379p0yYtWrRIO3fu1OHDh5WZmakRI0aoU6dOJd53\n8OBBzZs3T6+88or27dun1NRUPfzww2WJCAAAqggbMlZu41r5s55U3I3/GXQcAABKpdSlfOnSpVqy\nZIl+9rOfqUGDBlq1apX++Mc/6qGHHlJ6evoJ99m2bZtatmypUaNGKSkpSS+++KIefPBB3XfffWrU\nqJEkqaCgQHfeeaeaNWumG264QWlpaTpw4MDpfTsAABB6lpgku+I6uScflHt7k6xNh6AjAQBwykp9\n+XpeXp6GDh2qjh07KiMjQ2PHjlVGRoZWr1590n1GjRqlkSNHqkWLFsrKytKYMWOUlpamt9/+Zlrq\ns88+q7Zt2+qmm25S69atVb9+fTVr1qxMXwoAAFQt1uUiqcV58qf/Ra7oSNBxAAA4ZaUq5UVFRdqx\nY4eaNGlSYnuLFi30wQcfnPJxiouLVVhYqKSkJEnS0aNHtX79ejnnNGnSJI0fP1633HKLlixZUpp4\nAACgijIzedk3Svvy5ZY9F3QcAABOWakuX//6cvKaNWuW2J6cnKzt27ef8nFyc3PleZ66dOkiSdq9\ne7eKiorkeZ6uueYa1apVS2+99ZaeeeYZVa9eXX369ClNTAAAUAVZxlmyfkPlFs+RO7+XLL1+0JEA\nAPhBZZq+HhcXV+YPXL9+vXJycnTzzTcrMTFRknTo0CFJ0ujRo9W6dWs1atRIgwcPVo8ePb73sngA\nAIBvs0GjpeQz5E9/XM65oOMAAPCDSnWmPDk5WVJkSvq3HThw4Nhr32flypWaMmWKbr311hLT2r8u\n5wcPHjx2SbskZWRk6L333jvp8dauXat169aV2FavXj2NGzdOKSkp/Mc4JBISEpSamhp0DJQT1jN8\nWNNwCcN6fnn9LSr4469Ua9s/Vf38i4KOE6gwrCe+wXqGD2saHmYmSXr66ae1Z8+eEq91795dPXr0\nOOm+pSrlCQkJysrK0tatW9WmTZtj29977z116PD9k05nzJihvLw8TZ48+bgBbg0aNFCNGjX05ptv\nql+/fse279ixQxkZGSc9Zo8ePU765QoKClRUVHQqXwtRLjU1Vfv37w86BsoJ6xk+rGm4hGE9XdPW\n0nmdVPDkQ/IaNpVVrxF0pMCEYT3xDdYzfFjT8EhISFB6errGjRtX6n1Lffl63759lZubq40bN2r3\n7t3KycnRzp071bNnT0nSmjVrNGbMGG3ZsuXYPg8//LBWrFihiRMnqnbt2srPzz/2R5Li4+M1cOBA\nTZ8+XS+88IJ27typhQsX6uWXX9awYcNK/aUAAEDVZWbyxvxUOvC53KKZQccBAOB7lfo55QMGDFBh\nYaGeeuopFRQUKDMzU5MmTVL9+pFhKs45+b5f4tLxrVu3qqCgQHffffdxx5s5M/Ify9GjRyspKUk5\nOTnat2/fseM2b968rN8NAABUUZZeXzZwpNzCmXJd+8gyzgo6EgAAJ2QupDde5+fnc/l6SHBZT7iw\nnuHDmoZLmNbTFR2R/9v/kOqcKe/W3x+7368qCdN6gvUMI9Y0PL6+fL0syjR9HQAAINpZQjV5Y2+U\n3nlL7pUXgo4DAMAJUcoBAEBoWev2UsducrP/KneoMOg4AAAch1IOAABCzRt1vfTFYbkF04KOAgDA\ncSjlAAAg1Cz1TNllY+RWLpL79wdBxwEAoARKOQAACD27+DIpI0v+1EflfD/oOAAAHEMpBwAAoWfx\n8fKyJ0gfvCO3Li/oOAAAHEMpBwAAVYI1by3r2lsu5+9yBwqCjgMAgCRKOQAAqEJs5DjJ+XJzpwQd\nBQAASZRyAABQhVhKHdmwq+VefF7u/a1BxwEAgFIOAACqFuvZX2rUNDL0rbg46DgAgCqOUg4AAKoU\n8+IiQ992/ktu9ZKg4wAAqjhKOQAAqHKscTPZRf3l5j8r99n+oOMAAKowSjkAAKiSbPjVUly83Jy/\nBR0FAFCFUcoBAECVZEnJspHj5V5eI7f1H0HHAQBUUZRyAABQZVnX3lLTVvKnPiZ3tCjoOACAKohS\nDgAAqizzPHnZN0p7d8stXxB0HABAFUQpBwAAVZplnS27+DK5hTPk9uUHHQcAUMVQygEAQJVnQ8ZI\niUnyZz4RdBQAQBVDKQcAAFWe1UiUjbpeen2D3Fsbg44DAKhCKOUAAACSrFN3qWU7+dMflzvyZdBx\nAABVBKUcAABAkpnJG3uj9Okncktygo4DAKgiKOUAAABfsfqZsv6Xyy2dI7dnd9BxAABVAKUcAADg\nW2zAFdIZqfKn/0XOuaDjAABCjlIOAADwLVa9urwxN0j/fF3atD7oOACAkKOUAwAAfIe16yy16yJ/\nxpNyXxwKOg4AIMQo5QAAACfgXfkT6dABudyZQUcBAIQYpRwAAOAE7Mx6soGj5FYskNv1YdBxAAAh\nRSkHAAA4Ces3XEqvL3/aYwx9AwBUCEo5AADASVhCQuTZ5e/+U27D6qDjAABCiFIOAADwPaxlO1nn\nC+Vm/1Wu8GDQcQAAIUMpBwAA+AE26jqp6IjcvGeDjgIACBlKOQAAwA+w2mmyoWPl1iyR+3Bb0HEA\nACFCKQcAADgF1nuwlNlI/rOPyvnFQccBAIQEpRwAAOAUWFycvOwJ0r/ek3txedBxAAAhQSkHAAA4\nRda0pax7X7nnpsgd+DzoOACAEKCUAwAAlIKNuFaS5HKeDjYIACAUKOUAAAClYMlnyEZcI7duhdx7\nm4OOAwCIcZRyAACAUrIe/aTGzeVPfVSumKFvAICyo5QDAACUknleZOjb7h1yKxcGHQcAEMMo5QAA\nAGVgjc6R9RogN3+a3Kf7go4DAIhRlHIAAIAysmHZUvXqcrP/GnQUAECMopQDAACUkSXWkl0xXu7V\nF+U2vxF0HABADKKUAwAAnAY7v5fUvI38aX+RKyoKOg4AIMZQygEAAE6Dmckbe6P0ycdyz88NOg4A\nIMZQygEAAE6TZTaU9R0it2iWXP7HQccBAMQQSjkAAEA5sMFXSrVS5M98MugoAIAYQikHAAAoB1aj\nprwrr5fefEXujZeDjgMAiBGUcgAAgPLSvqvUpoP8GU/Iffll0GkAADGAUg4AAFBOzEzemJ9Kn38q\nt3hW0HEAADGAUg4AAFCOrG4D2YARcsvmyn28M+g4AIAoRykHAAAoZ3bpCCn1zMizy50LOg4AIIpR\nygEAAMqZVasub8wN0pY35TauDToOACCKUcoBAAAqgJ3XUerQVW7mU3KHDwUdBwAQpSjlAAAAFcQb\nfb30xSG5BdOCjgIAiFKUcgAAgApiqemywaPlVi6U27E96DgAgChEKQcAAKhA1neIVC9T/tRH5Xw/\n6DgAgChDKQcAAKhAFp8gL/tG6f2tci+tDDoOACDKUMoBAAAqmLU4T3ZBL7k5T8sVHgg6DgAgilDK\nAQAAKoGNHC8VH5V77pmgowAAogilHAAAoBLYGXVkw66Se3GZ3PZ3g44DAIgSlHIAAIBKYr0GSGc1\nlv/so3J+cdBxAABRgFIOAABQScyLk5c9QdrxgdyapUHHAQBEAUo5AABAJbImLWQX9pOb+6xcwadB\nxwEABIxSDgAAUMls+NVSnCc3++mgowAAAkYpBwAAqGRWK0U2YpzchlVy77wddBwAQIAo5QAAAAGw\nbhdL55wrf+qjckePBh0HABAQSjkAAEAAzPMiQ98+3iW3YkHQcQAAAYkvy05z5szRihUrVFBQoKys\nLGVnZ6tt27Ynff+mTZu0aNEi7dy5U4cPH1ZmZqZGjBihTp06nfD9H374oX7zm9+od+/euvbaa8sS\nEQAAIOrZWY1lfQbJ5c6Q63yhLDU96EgAgEpW6jPlS5cu1ZIlS3T99dfrgQceULt27fTHP/5R+fn5\nJ91n27ZtatmypX75y1/qnnvuUdu2bfXggw/qww8/PO69+/bt0/3336+4uLjSRgMAAIg5NjRbqpEo\nf+ZTQUcBAASg1KU8Ly9PQ4cOVceOHZWRkaGxY8cqIyNDq1evPuk+o0aN0siRI9WiRQtlZWVpzJgx\nSktL09tvlxxscujQId13330aPHiwGjZsWOovAwAAEGusZqJs1HXSpvVyb78WdBwAQCUrVSkvKirS\njh071KRJkxLbW7RooQ8++OCUj1NcXKzCwkIlJSWV2Pbggw+qTZs2GjhwYGliAQAAxDTrfKF0blv5\n0/4iV3Qk6DgAgEpUqlJ+4MABSVLNmjVLbE9OTlZBQcEpHyc3N1ee56lLly7Htj322GNKTEzkHnIA\nAFDlmJm8sTdK+z+RW5ITdBwAQCUq0/T107nfe/369crJydHNN9+sxMRESZH71D/66CP94he/KPNx\nAQAAYpllZMn6DZNbMkdu70dBxwEAVJJSTV9PTk6WJB08eLDE9gMHDhx77fusXLlSU6ZM0a233lpi\nWvvHH3+s7du3a9y4cce2HT16VFu3btXy5cv1xBNPHHd2XpLWrl2rdevWldhWr149jRs3TikpKXLO\nlebrIUolJCQoNTU16BgoJ6xn+LCm4cJ6BstdfaP2b1yr+Dl/U8rk/5aZndbxWM9wYT3DhzUNj6//\nff30009rz549JV7r3r27evTocfJ9XSmb66233qquXbtq5MiRx7ZNmjRJHTp00OjRo0+634wZM5SX\nl6dJkyapWbNmJV4rKCg4rug/8sgjysrK0vDhw5WRkVGaiJKk/Px8FRUVlXo/RJ/U1FTt378/6Bgo\nJ6xn+LCm4cJ6Bs+9sUH+n++RN+G/ZB26ntaxWM9wYT3DhzUNj4SEBKWnl+2xlqW+fL1v377Kzc3V\nxo0btXv3buXk5Gjnzp3q2bOnJGnNmjUaM2aMtmzZcmyfhx9+WCtWrNDEiRNVu3Zt5efnH/sjSSkp\nKWrQoEGJP9WrV1dSUlKZCjkAAEDMane+1Laz/JlPyH35RdBpAAAVrFSXr0vSgAEDVFhYqKeeekoF\nBQXKzMzUpEmTVL9+fUmSc06+75e4dHzr1q0qKCjQ3XfffdzxZs6ceRrxAQAAwsXM5F35E/m/uUlu\n4UzZCIbgAkCYlfry9VjB5evhwWU94cJ6hg9rGi6sZ/TwF86UWzhD3q//JGvQsEzHYD3DhfUMH9Y0\nPCr18nUAAABUPOt/uZRWT/7UxxheCwAhRikHAACIQpaQIC/7Bundt+VeXhN0HABABaGUAwAARClr\n1V7WqYfc7L/KHTr4wzsAAGIOpRwAACCK2agfS19+KTd/WtBRAAAVgFIOAAAQxaxOmmzIGLlVi+U+\nfD/oOACAckYpBwAAiHLWZ7DU4Cz5Ux+V8/2g4wAAyhGlHAAAIMpZfLy87AnS9nfl1i4POg4AoBxR\nygEAAGKANWsl63ax3HNT5A4UBB0HAFBOKOUAAAAxwkZcKzlf7rm/Bx0FAFBOKOUAAAAxwlJqy4Zf\nI7d2udy2LUHHAQCUA0o5AABADLGL+kmNmsqf+phccXHQcQAAp4lSDgAAEEPMi5N31QRp17/kVi0K\nOg4A4DRRygEAAGKMnd1M1vNSuflT5T7bH3QcAMBpoJQDAADEIBt2tZRQTW72X4OOAgA4DZRyAACA\nGGRJtWQjx8m98oLcljeDjgMAKCNKOQAAQIyyrn2kZq3kT3tM7mhR0HEAAGVAKQcAAIhRZiYve4K0\n9yO55+cFHQcAUAaUcgAAgBhmmY1kfYfILZopt29v0HEAAKVEKQcAAIhxdtmVUmKy/BlPBB0FAFBK\nlHIAAIAYZzUS5Y3+sfTGy3Jvvhp0HABAKVDKAQAAwqBjd6lVe/kzHpc78mXQaQAAp4hSDgAAEAJm\nJm/sDdJn++SWzAk6DgDgFFHKAQAAQsLqNZBdOkJuaY7cx7uCjgMAOAWUcgAAgBCxASOl2mnyp/9F\nzrmg4wAAfgClHAAAIESsWnV5Y34qbX5DX6xYJPcl95cDQDSLDzoAAAAAype17Sx16KaDj94X2VDn\nTKluhqxeA6luA1m9DKluAyk9Q5aQEGxYAKjiKOUAAAAh5P3kNqXs/1ifv/eOtHe3tGe33PZ3pZfX\nyH35ReRNZlJqesnCXreBVC9DOrOeLJ7CDgAVjVIOAAAQQhYfr4Rz28qrm1Viu3NO+vxTae9uuT27\npb0fye3dLffeZmn9CrkjRyJv9DwprW6ksNdtINX7VmFPqyeLiwvgWwFA+FDKAQAAqhAzk2qnSrVT\nZc3blHjN+b702X5pzy65vR8dK+5u6z+kF5fJHT0aeWNcnJRWL1LUv3tJfOqZMo/CDgCnilIOAAAA\nSZJ5npR6ZqRYt2xX4jXnF0v7P/mqqH+rsL/1mvTJIrni4sgb4+Ol9IzvXBKfIdVrINVOi3wGAOAY\nSjkAAAB+kHlx0pn1Iveat2pf4jVXXCzt21uysO/dLff6Bmnf3sgZeEmqVu2bwv7dS+LPSI2cxQeA\nKoZSDgAAgNNicXFS3a/Kdskr4uWOFkmf7D1W1LXnq3vYN66V9ud/8yz16jUihb3eCQp7cm0KO4DQ\nopQDAACgwlh8glQ/U6qfqe/WaldUJH3ycWQy/LcL+8urpf2fyH39xpqJkce31YuU9W9fEm+1Uir3\nCwFAOaOUAwAAIBCWkCBlnCVlnHV8Yf/ySyn/o+Muide7/5Q+3/9NYU+s9dVZ9a8GzX3rDLsl1qrk\nbwQApUcpBwAAQNSx6tWlrLOlrLOPL+xfHJa+NR3+68e6afMb0oHPvynstVJOXthrJFbuFwKAk6CU\nAwAAIKZYjZpSwyZSwybHF/bDh75V1r+6JH7PbumtjdLBA98U9pTaJR7l9vWkeNXNkFWvUcnfCEBV\nRikHAABAaFjNRKlRU1mjpse95goPHl/Yd/1ben2D3KHCb95YO/VbRf2bwXNKry+rVr0Svw2AqoBS\nDgAAgCrBkmpJjZvLGjcvsd05Jx08ULKw7/1I7sP3pVdfjFwuL0lmUp0zS1wSf+wMe3q9yFA7ACgl\nSjkAAACqNDOTklOk5BTZOeeWeM05Jx347NhkeO2JFHf3/lbppVVyR7786iCelJZ+4kvi0+rK4vnf\nbgAnxr8dAAAAgJMwMymljpRSR9asVYnXnHPSZ/tLnGF3ez6Se+dtaW2eXNGRyBs9Tzqz3okviU9L\nl3lxAXwzANGCUg4AAACUgZlJddKkOmmyFueVeM35vvTpvpKFfe9Hcv98XVqzRO7o0cgb4+Kl9K8K\n+9eT4b8u7HXOlHleAN8MQGWilAMAAADlzLyvLmdPS5e1bFfiNecXS/vyv3mU256vCvs/XpX27ZEr\nLo68MT5BSq9/7FFuX5zbRq7lj7h3HQgZSjkAAABQicyLi5Tt9Pqy1u1LvOaOHpX27y15D/ve3XKv\nv6QDy+dF7k8fmi3rchFn0YGQoJQDAAAAUcLi4796XnoDmTqWeC2l8HN9+vQjck/9j9yyufIuv0Zq\n0yFyGT2AQLk9u6T09DLtSykHAAAAYkD8WY0V9/PJctu2yH/u7/L/9y6peRt5I66VNWkRdDygSnIf\n7ZTLnS5//17pf6eW6RiUcgAAACCGWNOW8m6/V3pro/znpsi/93apQ1d5w66WZWQFHQ+oElz+x3IL\nZ8q9tEqqnSq7+mdlPhalHAAAAIgxZia17SyvTQe5DWvkFkyT/5ubZD36yi4bI6uTFnREIJTcp/vk\nFs2UW7tcSkqWjf6x7KL+8hKTynxMSjkAAAAQo8yLk3XrI9f5Qrk1i+UWzZLbsFp28WWyS0fIkmoF\nHREIBVfwmdzSHLnVS6SEarKhV8n6DJJVr3Hax6aUAwAAADHOEhJkfYfKdb9E7vm5csvny72wVDZg\npKzPYFm16kFHBGKSKzwY+WdqRa5kFvmxq+8Q2WmcGf8uSjkAAAAQElYzUTY0W673wMj9rvOelVux\nUDZkjKzbxbK4uKAjAjHBfXFILi9X7vl5UnGRrM9lsv7DZbVSyv2zKOUAAABAyFhKHdnYG+X6DpGb\nN1VuyiNyz8+TN/wqqX1XHqMGnIQ78qXc6sVyS3KkLw7Jeg6IXHFyRp0K+0xKOQAAABBSVreB7Ke3\ny/W/PDKp/dH7pMbN5Y0YJ2vRJuh4QNRwR4vkXlwut2iWdOAzWfe+skGjZWlle/Z4aVDKAQAAgJCz\nRuco7pa75La8KT/n7/If+JXUpqO8y6+RndU46HhAYFxxsdyGVXK5M6T9+bLze8ouu1JWt0GlZaCU\nAwAAAFWEtWwnb/KD0mvr5M99Vv7dE2VdLpINzZal1w86HlBpnO/LbVwrt2C6tGeX1KGbvP/4tSyz\nYaVnoZQDAAAAVYiZSZ16yPvRBXLr8uRyZ8ht/Jms56WyQaNkKbWDjghUGOec9ObL8udNlXZ9KJ3X\nSd5PbpM1OiewTJRyAAAAoAqy+HhZz0vlLugll7dAbtlzcutWyPoNk/UbKquRGHREoNw456TNB8sy\nXwAAHOxJREFUb8if96z0r/ekFufJm3S/rGnLoKNRygEAAICqzKrXkA0aJdfzUrklcyJ/Vi+ODLnq\n2V8WnxB0ROC0uHf/KX/eM9J7m6UmLeT98m5Zy3ZBxzqGUg4AAABAVitFdsV1cn0uk8udJjfzSbkV\nCyL3m3e+UOZ5QUcESsVtfy9yZnzz69JZjeX9x53SeZ2i7pGAlHIAAAAAx1haumzczXKXDJc/7xm5\nJx+UW/acvMuvkVp3iLpCA3yX27ld/vxp0hsvSxlnybtxktS+a9T+sEQpBwAAAHAcy2youJ9Pltu2\nWX7OFPl/uityH+7l18iatAg6HnAc9/FOuQXT5Taulc6sJ7vuFtn5F8m8uKCjfS9KOQAAAICTsqat\n5N1xr/SPjfLnTpF/7+1Sh67yhl0ty8gKOh4g98keuYUz5Navkmqnyq6aIOvWVxYfG3U3NlICAAAA\nCIyZSe06yzuvg9yGNXLzp8r/7U2y7n1ll42R1UkLOiKqIPfZPrlFs+VefF5KTJKNui7yaL+EakFH\nKxVKOQAAAIBTYl6crFsfuc495FYvkVs8S27DatnFl8kuHSFLqhV0RFQB7sDncktz5FYtlhKqyYaO\nlfUZLKteI+hoZUIpBwAAAFAqllBNdslQue595Z6fK7d8vtwLy2QDRkTKUbXqQUdECLlDB+WenyeX\nlyuZZJdeLus7VJaYFHS000IpBwAAAFAmlpgkG3aVXO9Bcgtnys17Vm7FQtmQMbJuF8vionvAFmKD\n++Kw3IpcuefnSkeLZL0Hy/pfLktOCTpauaCUAwAAADgtdkYdWfaNcpcMkZs3VW7KI3LPz5M3/Gqp\n/QU8Rg1l4o58KbdmqdySOdLhQtlFl8oGjJTVTg06WrkqUymfM2eOVqxYoYKCAmVlZSk7O1tt27Y9\n6fs3bdqkRYsWaefOnTp8+LAyMzM1YsQIderU6dh7Vq9erVWrVmnXrl06evSoGjVqpDFjxujcc88t\nS0QAAAAAlczqNpD99Ha5/sPlPzdF/qP3Sk1ayLv8WlmLNkHHQ4xwR4vk1i6XWzRLKvgsMlBw0ChZ\nWt2go1UIc8650uywdOlSzZ49Wz/72c/UoEEDrVq1SosXL9ZDDz2k9PT0E+4za9YseZ6n8847T0lJ\nSXrxxRe1YMEC3XfffWrUqJEk6cknn1T9+vV17rnnqlq1alq0aJE2bNi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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(range(1,10), scorings)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Можно выбрать глубину 3 или 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Важность признаков\n", "\n", "В деревьях решений производится автоматический отбор признаков.\n", "\n", "Пусть $v(S)$ - это признак, который использовался для ветвления в узле $S$\n", "\n", "$$ \\text{imp}(A) = \\sum\\limits_{i: v(S_i) = A} \\frac{|S_i|}{|S|} Gain(S_i, A) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "* Обучите модель на обучающей выборке\n", "* Найдите наиболее важные признаки с помощью `model.feature_importances_`" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Your Code Here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "* Выполните предсказание на контрольной выборке\n", "* Оцените всевозможные меры качества. Сравните с тем, что было на этапе кросс-валидации" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Your Code Here" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Случайный лес" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bagging - это параллельный способ построения ансамбля.
\n", "1. Обучающая выборка сэмплируется $k$ раз с помощью *bootstrap'a* (выборка с возвратом)\n", "2. На каждом сэмпле обучается отдельная **базовая модель**\n", "3. Ответы моделей усредняются (возможно с весом)\n", "
\n", "\n", "*Вопрос: Какая доля объектов в среднем попадает в один bootstrap сэмпл?*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Так же есть некоторые обобщения этого подхода:\n", "\n", "* Метод случайных подпространств - на шаге 1. сэмплируются не только объекты, но и подпространство признаков\n", "* Метод случайного леса - на каждом узле сэмплируется подпространство признаков\n", "\n", "В данном случае, на каждом сэмпле базовой моделью является дерево решений.
\n", "Если вам нужно за минимальное время построить достаточно точную и устойчивую модель - это ваш вариант." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Задание\n", "* Проделайте предыдущие этапы для модели случайного леса\n", "* Сравние меры качества\n", "* Почему результаты оказались лучше (должны были)?" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.ensemble import RandomForestClassifier" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# Your Code Here" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python [default]", "language": "python", "name": "python2" }, "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": "80px", "left": "28px", "right": "862.667px", "top": "138px", "width": "176px" }, "widgets": { "state": { "fc506f8126224410a387b8bf6dc3f773": { "views": [ { "cell_index": 19 } ] }, "ff48e2e44d3141bea8c59c5964f7f568": { "views": [ { "cell_index": 23 } ] } }, "version": "1.2.0" } }, "nbformat": 4, "nbformat_minor": 0 }