{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chapter 7 - Moving Beyond Linearity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[7.1 Polynomial Regression](#7.1-Polynomial-Regression)\n", "\n", "[7.2 Step Functions](#7.2-Step-Functions)\n", "\n", "[7.3 Basis Functions](#7.3-Basis-Functions)\n", "\n", "[7.4 Regression Splines](#7.4-Regression-Splines)\n", "\n", "[7.5 Smoothing Splines](#7.5-Smoothing-Splines)\n", "\n", "[7.6 Local Regression](#7.6-Local-Regression)\n", "\n", "[7.7 Generalized Additive Models](#7.7-Generalized-Additive-Models)\n", "> [7.7.1 GAMs for Regression Problems](#7.7.1-GAMs-for-Regression-Problems)<br>\n", "> [7.7.2 GAMs for Classification-Problems](#7.7.2-GAMs-for-Classification-Problems)\n", "\n", "[7.8 Lab: Non linear Modeling](#7.8-Lab:-Non-linear-Modeling)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "from pandas.api.types import CategoricalDtype\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "import sklearn.linear_model as skl_lm\n", "from sklearn import neighbors\n", "from sklearn.preprocessing import PolynomialFeatures, StandardScaler, LabelEncoder\n", "from sklearn.pipeline import Pipeline, make_pipeline\n", "from sklearn.model_selection import cross_val_score\n", "from sklearn.metrics import mean_squared_error\n", "\n", "import statsmodels.api as sm\n", "import statsmodels.formula.api as smf\n", "from patsy import dmatrix\n", "\n", "from plot_lm import plot_lm\n", "\n", "import re\n", "\n", "%matplotlib inline\n", "plt.style.use('seaborn-white')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sex: ['Male']\n", "maritl: ['Never Married' 'Married' 'Widowed' 'Divorced' 'Separated']\n", "race: ['White' 'Black' 'Asian' 'Other']\n", "education: ['< HS Grad' 'HS Grad' 'Some College' 'College Grad' 'Advanced Degree']\n", "region: ['Middle Atlantic']\n", "jobclass: ['Industrial' 'Information']\n", "health: ['<=Good' '>=Very Good']\n", "health_ins: ['Yes' 'No']\n" ] }, { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>ID</th>\n", " <th>year</th>\n", " <th>age</th>\n", " <th>sex</th>\n", " <th>maritl</th>\n", " <th>race</th>\n", " <th>education</th>\n", " <th>region</th>\n", " <th>jobclass</th>\n", " <th>health</th>\n", " <th>health_ins</th>\n", " <th>logwage</th>\n", " <th>wage</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>231655</td>\n", " <td>2006</td>\n", " <td>18</td>\n", " <td>Male</td>\n", " <td>Never Married</td>\n", " <td>White</td>\n", " <td>< HS Grad</td>\n", " <td>Middle Atlantic</td>\n", " <td>Industrial</td>\n", " <td><=Good</td>\n", " <td>No</td>\n", " <td>4.318063</td>\n", " <td>75.043154</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>86582</td>\n", " <td>2004</td>\n", " <td>24</td>\n", " <td>Male</td>\n", " <td>Never Married</td>\n", " <td>White</td>\n", " <td>College Grad</td>\n", " <td>Middle Atlantic</td>\n", " <td>Information</td>\n", " <td>>=Very Good</td>\n", " <td>No</td>\n", " <td>4.255273</td>\n", " <td>70.476020</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>161300</td>\n", " <td>2003</td>\n", " <td>45</td>\n", " <td>Male</td>\n", " <td>Married</td>\n", " <td>White</td>\n", " <td>Some College</td>\n", " <td>Middle Atlantic</td>\n", " <td>Industrial</td>\n", " <td><=Good</td>\n", " <td>Yes</td>\n", " <td>4.875061</td>\n", " <td>130.982177</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " ID year age sex maritl race education \\\n", "0 231655 2006 18 Male Never Married White < HS Grad \n", "1 86582 2004 24 Male Never Married White College Grad \n", "2 161300 2003 45 Male Married White Some College \n", "\n", " region jobclass health health_ins logwage wage \n", "0 Middle Atlantic Industrial <=Good No 4.318063 75.043154 \n", "1 Middle Atlantic Information >=Very Good No 4.255273 70.476020 \n", "2 Middle Atlantic Industrial <=Good Yes 4.875061 130.982177 " ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_wage = pd.read_csv('Data/Wage.csv')\n", "df_wage.rename(columns={'Unnamed: 0': 'ID'}, inplace=True)\n", "for col_name in df_wage.columns:\n", " if df_wage[col_name].dtype == 'object':\n", " # get list of categories\n", " cat_list = np.sort(df_wage[col_name].unique())\n", " # create a categorical dtype that is ordered for the columns that makes sense\n", " cat_dtype = CategoricalDtype(cat_list, ordered=True if col_name in ['education', 'health'] else False) \n", " df_wage[col_name] = df_wage[col_name].astype(cat_dtype)\n", " # strip '#. ' from the categories names\n", " df_wage[col_name].cat.categories = [re.sub(r\"\\d+.\\s+\", \"\", cat) for cat in cat_list]\n", " print(f'{col_name}: {df_wage[col_name].cat.categories.values}')\n", "df_wage.head(3)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>ID</th>\n", " <th>year</th>\n", " <th>age</th>\n", " <th>logwage</th>\n", " <th>wage</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>count</th>\n", " <td>3000.000000</td>\n", " <td>3000.000000</td>\n", " <td>3000.000000</td>\n", " <td>3000.000000</td>\n", " <td>3000.000000</td>\n", " </tr>\n", " <tr>\n", " <th>mean</th>\n", " <td>218883.373000</td>\n", " <td>2005.791000</td>\n", " <td>42.414667</td>\n", " <td>4.653905</td>\n", " <td>111.703608</td>\n", " </tr>\n", " <tr>\n", " <th>std</th>\n", " <td>145654.072587</td>\n", " <td>2.026167</td>\n", " <td>11.542406</td>\n", " <td>0.351753</td>\n", " <td>41.728595</td>\n", " </tr>\n", " <tr>\n", " <th>min</th>\n", " <td>7373.000000</td>\n", " <td>2003.000000</td>\n", " <td>18.000000</td>\n", " <td>3.000000</td>\n", " <td>20.085537</td>\n", " </tr>\n", " <tr>\n", " <th>25%</th>\n", " <td>85622.250000</td>\n", " <td>2004.000000</td>\n", " <td>33.750000</td>\n", " <td>4.447158</td>\n", " <td>85.383940</td>\n", " </tr>\n", " <tr>\n", " <th>50%</th>\n", " <td>228799.500000</td>\n", " <td>2006.000000</td>\n", " <td>42.000000</td>\n", " <td>4.653213</td>\n", " <td>104.921507</td>\n", " </tr>\n", " <tr>\n", " <th>75%</th>\n", " <td>374759.500000</td>\n", " <td>2008.000000</td>\n", " <td>51.000000</td>\n", " <td>4.857332</td>\n", " <td>128.680488</td>\n", " </tr>\n", " <tr>\n", " <th>max</th>\n", " <td>453870.000000</td>\n", " <td>2009.000000</td>\n", " <td>80.000000</td>\n", " <td>5.763128</td>\n", " <td>318.342430</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " ID year age logwage wage\n", "count 3000.000000 3000.000000 3000.000000 3000.000000 3000.000000\n", "mean 218883.373000 2005.791000 42.414667 4.653905 111.703608\n", "std 145654.072587 2.026167 11.542406 0.351753 41.728595\n", "min 7373.000000 2003.000000 18.000000 3.000000 20.085537\n", "25% 85622.250000 2004.000000 33.750000 4.447158 85.383940\n", "50% 228799.500000 2006.000000 42.000000 4.653213 104.921507\n", "75% 374759.500000 2008.000000 51.000000 4.857332 128.680488\n", "max 453870.000000 2009.000000 80.000000 5.763128 318.342430" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_wage.describe()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>sex</th>\n", " <th>maritl</th>\n", " <th>race</th>\n", " <th>education</th>\n", " <th>region</th>\n", " <th>jobclass</th>\n", " <th>health</th>\n", " <th>health_ins</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>count</th>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " <td>3000</td>\n", " </tr>\n", " <tr>\n", " <th>unique</th>\n", " <td>1</td>\n", " <td>5</td>\n", " <td>4</td>\n", " <td>5</td>\n", " <td>1</td>\n", " <td>2</td>\n", " <td>2</td>\n", " <td>2</td>\n", " </tr>\n", " <tr>\n", " <th>top</th>\n", " <td>Male</td>\n", " <td>Married</td>\n", " <td>White</td>\n", " <td>HS Grad</td>\n", " <td>Middle Atlantic</td>\n", " <td>Industrial</td>\n", " <td>>=Very Good</td>\n", " <td>Yes</td>\n", " </tr>\n", " <tr>\n", " <th>freq</th>\n", " <td>3000</td>\n", " <td>2074</td>\n", " <td>2480</td>\n", " <td>971</td>\n", " <td>3000</td>\n", " <td>1544</td>\n", " <td>2142</td>\n", " <td>2083</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " sex maritl race education region jobclass \\\n", "count 3000 3000 3000 3000 3000 3000 \n", "unique 1 5 4 5 1 2 \n", "top Male Married White HS Grad Middle Atlantic Industrial \n", "freq 3000 2074 2480 971 3000 1544 \n", "\n", " health health_ins \n", "count 3000 3000 \n", "unique 2 2 \n", "top >=Very Good Yes \n", "freq 2142 2083 " ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df_wage.describe(include='category')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.1 Polynomial Regression" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinearRegression(copy_X=True, fit_intercept=True, n_jobs=1, normalize=False)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# polynomial regression\n", "linear = skl_lm.LinearRegression()\n", "poly = PolynomialFeatures(4)\n", "\n", "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage']\n", "\n", "X_poly = poly.fit_transform(X)\n", "linear.fit(X_poly, y)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Pipeline(memory=None,\n", " steps=[('scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('polynomial', PolynomialFeatures(degree=4, include_bias=True, interaction_only=False)), ('logistic', LogisticRegression(C=10000000000.0, class_weight=None, dual=False,\n", " fit_intercept=True, intercept_scaling=1, max_iter=100,\n", " multi_class='ovr', n_jobs=1, penalty='l2', random_state=None,\n", " solver='liblinear', tol=0.0001, verbose=0, warm_start=False))])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# logistic regression\n", "df_logistic_wage = pd.DataFrame({'age': df_wage['age'].values, 'large_wage': df_wage['wage'].values > 250}, \n", " columns=['age', 'large_wage'])\n", "df_logistic_wage.large_wage = df_logistic_wage.large_wage.astype(int)\n", "\n", "X = df_logistic_wage['age'].values.reshape(-1, 1).astype(float)\n", "y = df_logistic_wage['large_wage']\n", "\n", "pipe = Pipeline(steps=[('scaler', StandardScaler()), \n", " ('polynomial', PolynomialFeatures(4)),\n", " ('logistic', skl_lm.LogisticRegression(C=1e10))])\n", "# Fit all the transforms one after the other and transform the data, then fit the transformed data using the final estimator.\n", "pipe.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.1" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "\n", "ax1.scatter(df_wage.age, df_wage.wage, facecolors='None', edgecolors='grey', alpha=.5)\n", "# seaborn uses np.polyfit to fit a polynomial of order 4 to the data, basically the same we did with sklearn\n", "sns.regplot(df_wage.age, df_wage.wage, ci=100, label='Degree 4', order=4, scatter=False, color='blue', ax=ax1)\n", "\n", "age_range = np.linspace(df_logistic_wage.age.min(), df_logistic_wage.age.max(), 1000).reshape((-1, 1))\n", "# Apply transforms to the data, and predict with the final estimator\n", "predictions = pipe.predict_proba(age_range)[:, 1]\n", "# probability of wage > 250 given age\n", "ax2.plot(age_range, predictions)\n", "ax2.set_ylim(ymin=-0.005, ymax=0.2)\n", "# rug plot\n", "ax2.plot(X, y*0.19, '|', color='k')\n", "ax2.set_xlabel('age')\n", "ax2.set_ylabel('P(wage>250|age)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.2 Step Functions" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>age_(17.938, 33.5]</th>\n", " <th>age_(33.5, 49.0]</th>\n", " <th>age_(49.0, 64.5]</th>\n", " <th>age_(64.5, 80.0]</th>\n", " <th>wage</th>\n", " <th>age</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>1</td>\n", " <td>0</td>\n", " <td>0</td>\n", " <td>0</td>\n", " <td>75.043154</td>\n", " <td>18</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>1</td>\n", " <td>0</td>\n", " <td>0</td>\n", " <td>0</td>\n", " <td>70.476020</td>\n", " <td>24</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>0</td>\n", " <td>1</td>\n", " <td>0</td>\n", " <td>0</td>\n", " <td>130.982177</td>\n", " <td>45</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " age_(17.938, 33.5] age_(33.5, 49.0] age_(49.0, 64.5] age_(64.5, 80.0] \\\n", "0 1 0 0 0 \n", "1 1 0 0 0 \n", "2 0 1 0 0 \n", "\n", " wage age \n", "0 75.043154 18 \n", "1 70.476020 24 \n", "2 130.982177 45 " ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# fit a stepwise function to wage data. Use four bins like in Figure 7.2\n", "num_bins = 4\n", "\n", "df_step = pd.DataFrame(pd.cut(df_wage.age, num_bins))\n", "df_step = pd.get_dummies(df_step)\n", "df_step['wage'] = df_wage.wage\n", "df_step['age'] = df_wage.age\n", "df_step.head(3)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "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": [ "# linear regression\n", "linear = skl_lm.LinearRegression()\n", "\n", "X = df_step[df_step.columns.difference(['wage', 'age'])]\n", "y = df_step['wage']\n", "\n", "linear.fit(X, y)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Pipeline(memory=None,\n", " steps=[('scaler', StandardScaler(copy=True, with_mean=True, with_std=True)), ('logistic', LogisticRegression(C=10000000000.0, class_weight=None, dual=False,\n", " fit_intercept=True, intercept_scaling=1, max_iter=100,\n", " multi_class='ovr', n_jobs=1, penalty='l2', random_state=None,\n", " solver='liblinear', tol=0.0001, verbose=0, warm_start=False))])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# logistic regression\n", "df_logistic_step = df_step.copy()\n", "df_logistic_step['large_wage'] = (df_logistic_step['wage'].values > 250).astype(int)\n", "\n", "X = df_logistic_step[df_step.columns.difference(['wage', 'age', 'large_wage'])]\n", "y = df_logistic_step['large_wage']\n", "\n", "pipe = Pipeline(steps=[('scaler', StandardScaler()), \n", " ('logistic', skl_lm.LogisticRegression(C=1e10))])\n", "# Fit all the transforms one after the other and transform the data, then fit the transformed data using the final estimator.\n", "pipe.fit(X, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.2" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "\n", "ax1.scatter(df_step.age, df_step.wage, facecolors='None', edgecolors='grey', alpha=.5)\n", "\n", "age_range = np.linspace(df_step.age.min(), df_step.age.max(), 1000)\n", "age_range_dummies = pd.get_dummies(pd.cut(age_range, num_bins))\n", "predictions = linear.predict(age_range_dummies)\n", "ax1.plot(age_range, predictions)\n", "ax1.set_xlabel('age')\n", "ax1.set_ylabel('wage')\n", "\n", "# Apply transforms to the data, and predict with the final estimator\n", "predictions = pipe.predict_proba(age_range_dummies)[:, 1]\n", "# probability of wage > 250 given age\n", "ax2.plot(age_range, predictions)\n", "ax2.set_ylim(ymin=-0.005, ymax=0.2)\n", "# rug plot\n", "ax2.plot(df_step.age, y*0.19, '|', color='k')\n", "ax2.set_xlabel('age')\n", "ax2.set_ylabel('P(wage>250|age)');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.3 Basis Functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.4 Regression Splines" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage']\n", "knots = np.percentile(X, [25, 50, 75])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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Gw+5p8twXX3wRCF2DGer6vOFNc83atUQPHIghKUktWWFH0k03cvbf/8aUnYW5c2e15YQ12qSo2hR+D9/8BUb9Anpe03pfeXJnmLgAMvvC2ifB7Q6MTo0WcdtsWLd8T/zkyWpLCSt0Oh3pDzxA+cK3cNtsassJazSDrhYuJ6x/RvaTT30S4toYp9x5FPS+Fr76PTjtymjUaBUV771Hym23qi0jLNGZTKTedx+lL7yAJEktn6DhFc2gq4HdCisXgDANhtzV5giW82T2geHzYdXvoKFWmTY1fMJRXILkcGLq2FFtKWGLKTOD2LHjqPr4Y7WlhC2aQQ82jnpY/QcY9zikByDrXnJnuOJXch91pcq3r+GVinfeIfm229SWEfbEjhiOu64O2+49aksJS7RJ0WDitMuGdszDEJ8ZuH5i02DK/8KaP8LUv4LewOLFiwPXnwKEuj5vnNNs27sXc+dOGOJiVVYUGSTffjslf/0r5twcbXK5lWgj9GDhcsrGfOQDkBiEx3JLvOzO2fISAGlpaaSlpQW+Xz8JdX3eSEtLIzU1lapPPyNx9my15UQMciKvn3P2+ReQtEn+VtEmgy4IwghBENZ62T5TEIStgiBsEgTh3rb0ERG4XbIxH3aP7BIJFpl9wGiBk9t48803efPNN4PXdysJdX3eePPNN3n5V78ifuIEdAaD2nIiCkNCAknXz6binXfUlhJW+G3QBUH4FfAqEHXJdhPwT+Aq4ApgviAIWW0RGfZ8+3cYfAekdgt+30Pvhl0f8ubrr4W0wQxLg/7GG7y1ZAmxo0erLSUiierVC/QGbHv2qi0lbGjLCP0w4G29bi/gkCiKFaIo2oH1gKK1p2rqHUo2F1j2LIGOQwIzAeoLOh2MewyqCtXpvxXUO+upaqhSW4bPOEtKMGZkqC0jokm+ZR5Vn36K22pVW4pi2OuduN2BCc3026CLorgE8GZZE4DG38oaINHffrzx8faTHCiuUbLJwFB6EMqPQA+VC+TGZUBUYshGvdTaaymsKaTGUcNnhz7j+R3Pn399dugzteV5xV1Xh+RwoI+KavlgDb/R6fWkzr+X0pfCr4i4NyqLrWz+7EjAYu0DEeVSDTROLBIPVCrZwa0jOvHEsn38z8w+GPQKxXArjcMGW16Wo0xCgehkqDwBlYWQFDqJsPaU7mHZkWVkx2Zj1Bu5o88dF+3fcnoLL+98mfn956NTKl5fASo++kgrWhEkTBkZRA8aSPXKVSRcrfLgqA2cPlzF8d2ljJ3bHb0hMPEogWi1AMgXBCFFEAQzMB7YpGQHRoOem4Z14p3Nx5VsVlm+/TuMexQMIRQZmpgDW19RWwUAbsnNuwXvsqd0D78e9muMeu+f04jsEYzLGccz25/B4Q4NV5u7rg5XZSU6i0VtKe2G+IkTaRD3h22lo8PbSyg5Vs2Ia/MCZsxBQYMuCMItgiDMF0XRATwKrEQ25K+LonhSqX7O0btDArUNTk6UhaBvbdeH0GUMJHRQW8l5VqxYwYovvoS0HnB6p6paXG4XT/3wFIMyBnFzz5vR6XSyvhUrvB7fO7U3c/Ln8PQPT2Nzqp/ro3LxYpLm3tCsZg3lSZ0/n7JXXwurohiSJLF7bRFul8SAybmBf8qUJCnorx49enTp0aOHVFhYKLWFeodT+sNneyS3292mdhSlZL8kffe02iqaxumQpC8WqCrh3X3vSgVlBa0+76z1rPTEpiekyvrKAKjyDVddnVT8f/9Urf/2jq2gQCp7+x21ZfiEy+WWNn9+WCoSyxVrs7CwUOrRo4fUo0ePLpIX2xrWC4ssRgMzB3Tgo21FakuRcbvg+1dg9INqK7mMF154gRdeeEF2AXUeBUe/U0XHkaoj2F12eqb09K6vGdKi03ho8EO8tPMl1RI4VS5eQtLcOYBvmjWUJapnTyS7nYYjR9SW0iwOu4uNiw+RPzSTjj2Sg9ZvWBt0gCGdkzlZYaO4ul5tKbDtTRh8e2j5zT18+OGHfPjhh/KbnjPkikhBNopOt5NF+xdxW+/Lc55cpK8Z4s3xTMydyMpjKwMhsVncNhvOsjLMnkpFvmrWUJaU22+j4p13kZxOtaV4xVptZ+OSQwy6uhMp2cFNBxH2Bh1g/vg8Xv42cKFAPlF1EqxlkD1APQ2+otNBr5mwL7ghge8WvMtNwk1NToD6yvDs4YgVIpX1igZPtYhWKi000JlMJM+7mYp331VbymVUnKlj2xfHGDW7G7GJwZ80jwiDHmsxMrFnOst3qzgDvul5GPVz9fpvLV3GQuEWOcdMEBDLRYx6I92SlFkte1efu3hj7xuKtOUL7vp6nCUlmDt1ClqfGk1jyc8HoOHgQZWVXODUoUrELWcYM7c75ih1ntIjwqADjMtPZ++pairqVCjuULAUuk2Sa4GGEwNvgR2BH+U4XA4WH1jMzUIzNVJbSaIlkb5pfdl4cqNibTZH5ccfk3S9loArlEi+9VYqFn2A5FA/nPXQthLOnqhhxKzAhiW2RMQYdID7x3fjpe8OB7fT+mq5jFz+lOD2qwRZ/aD8sFxwI4C8U/AOt/W+DYNe2QRWUzpNYf2p9VgdgdUvORw4T53C3KVLQPvRaB06o5HkW2+l/G31EnhJksSubwqRJIkBk4IQltgCEWXQE2NMDMpN5pv9JcHrdOOzIRnVcilr165l7dq1l+8YcldAR+nl9eU43A46JzSfZbJJfc2g0+m4s/edLNy7sA0KW6b6y5XET5122XZ/NGsoiyWvKzqTifoDB4Let9st8f3So6TlxJE/NID1DVpBRBl0gKl9s9h4uDQ4CbyKfpDT4ba1HqiapOTJKQEC5EtffGAxc3vMDUjbAJmxmWTGZrK3NDAZ+SRJon7fPqL79glI+xptJ3nezVR+8GFQFxw5GlxsWHyQHsMz6ZAfvLDElog4gw4wf3w3/vNdgONUJQl2fwQDbglsPwrx1FNP8dRTT3nf2Wsm7F+qeJ9VDVW43C5SolJaPLZZfS1wbbdr+fLYl36d2xLWzZuJHTnC6762aNZQDp3RSNLcOVQGKYS0rrKBjR8fYsjULiRnhda8WUQa9PR4C13TYtlypCxwnRR8Lsdz68PjI1y2bBnLli3zvjN3OBRuVTwufcnBJT6PzpvV1wIGvYH85HwKygr8Or85ar9bR+w479mf26JZQ1mievXCVVWF49SpgPZTWlTLj1+dYPSc7sQkmAPalz+EhzXyg9mDOvLFnjPUOwLwGOa0yxOhXRVN864unUbKYYwKUWuvxeqwkh4THHfUtK7T+OLoF4q2WX/gAJbu3dGFyU27vZNy112UL1wYsPUox/eWcWxXKWPmdMdkDs0KVRH7n6rT6bhnXFdeXRcA18v2hXIFokii53R59ahCLDm4hDn5cxRrryVMehO5CbkcqVTu7129bDkJM2co1p5GYNFHRRE3YQI1Xyh7YwfYt/4U1qoGhl7TBV2opuwmgg06QE5yDMmxZnYXKVgFx1YJtcXqVSAKFHoDJHWCsraHfdqcNiobKsmOy1ZAmO/M6jaLzw9/rkhbjuJiDElJ6M2h91it0TSxo0ZRX7AfV6Uyq4jdbomty48SnxJFr9Ghkz21KSLaoAPMG9aJj7YV4nApVD186yswfL4ybQWR6OhooqOjmz9o4C2wc1Gb+/rk4CfM7t66RTg+6WsBi8FCekw6hTVtL7dX9XHLy/yV0KyhPKl3/5Sy115vczuOBjnBVt7AdHJ7tzyxHwqEXhYphdHrddw5ugtvbjjGvePz2tZYZSEYLHJJtzDjC18eQ82xYLSAtRxi/PsHtrvsFFuL6ZTQuiXyPunzgdndZ/Pantf4xaBf+N2Gq7YWyeHEkNh85USlNGsoiyEpCYsgYN26lZhhw/xqo66qgR9WHGPoNV1UycniLxE/Qgfolh6HTgeHStpYh3TrqzDsbmVEhSqDboMf/V959/nhz5nVbZaCglpHjCmGeFM8xXXFfrdR9cmnJF6vJeEKZxKmX0P1ylV+pQUoO1nLjyvlSJZwMubQTgw6wJ2ju/DWpuO4/K22fXoXpOWHX74WD0888QRPPPFEywfGZ4GtHBytT0csSRInqk/4lYDLZ30+MKfHHD4++LFf50ouF87iM5hzOrZ4rJKaNZRFp9ORfMs8Kt5/v1XnndhbxpEdZxkzN3QjWZqj3Rh0k0HPjUNzeW+Ln3VId38I/ZVLLhVs1qxZw5o1a3w7uO8cv1LrbivexuDMwa0+D1qprwXizfEY9UbKbK1fh1D7zTfETZzo07FKatZQHkteHm6rzec6pPs2nKK2soFh07uGdCRLc7Qbgw7Qt2MitQ0ujpytbd2Jp3dCRp+QLFwRELL6QfHuVp+2/uR6xnYcGwBBrWd2/myWHm796lfr9h+JHuzfTUkj9Ei58w7KF77V7DGSJ5IlLslC7zGhH8nSHO3KoAPcPbYrb2481jrXy+6PoN8NgRMVimT0gWLf86NU1FecHxmHAmnRaZQ3lONy+76wrF4UsfTIVz1jnoZy6KOjiRk+nJomkqg57C7WLz5I3sB0OvVJDa64ANDuDLrZqOeWEZ1YuPGYbyec3gkZvdvP6Pwcfa6DvZ/4fPjyI8uZkRdai3DGdhjLhlMbfD6+evkKEq65JoCKNNQgftJErJs2466/eF6orrKBjUsOMfjqzqR2jFNJnbK0O4MO0DMrAbckcaDYh6iX3R9BvxsDLyrApKamkpraihGIKRr0Rmho2T0lSRIlthIyY/1PIdpqfT4wLGsYW89s9elYZ3k5+ri4Vi0kCoRmjcCQcsftlL/19vn3Jcerz+dkCbdIluZoZ8POC9w1ugt/XLaP38/ojampCiOnd0F6r4gYnS9ZsqT1J/WdC3sWyznTm2Hrma0My/Qv3vccfulrAZ1OR1ZsFqdrT7e4arXqk09Jmn1dq9oPhGaNwGDq2BGd0Yj9xAlOnI2iuszGmLndI8691i5H6ABGg547R3fh9fVHmz5o94fQP/xH536T1h3KDrWYhXHjqY2M7jA6SKJax4y8GSw70nxGRMnhwFVZgTE9jPPaa7RI0i3z2PzC1wAMvqpzxBlzaMcGHeQFR9FmA3tOesn1cma3Z3RuCr6wALBgwQIWLFjQ+hM7DoWT25rcXWYrI8mS1Obycn7ra4FESyJ1jjoc7qYXmFSvXEX8VVe3uu1AadZQHqfdxaZlheQO7USWVVRbTsBo1wYd4LYRnfnoh0IanJdEQ+z6IKJG55s2bWLTpk2tP7GFLIzLjyxnet70NiiT8VufD0zIncC3hd82ub9+716i+/VtdbuB1KyhHHWVDWxYcoiBkzvRZc5EatetQ7KrUEw+CLR7g67X67h7bB6vrmvkeineC2lCxIzO24TBJK+OtZZftsstuSmtLw1aznN/GZA+gJ1nd3rdZ9u5k+j+/YKsSCNYlByv5sfV8uRnXLJFXkF68zwqFn2gtrSA0O4NOkCn1BhSYs38eKJC3rD7o4ganbeZ/jfBrsvLe20+vZmRWSNVENQ6dDodufG5nKg+cdm+mq++In7KFBVUaQSaQ9tKKBIrLitIYcnriqu2BkdJEIvJBwnNoHu4eVgun+04RX3pcYjNkLMOasgk5UJ10WWTo9+f/p6RHULfoANc0/Ualh+92HXkKC7GkJKKzqQ9iUUSklti+yo5xUdTk58pd9xBxdtvX7Y93NEMugedTsf88Xns+Pw5OeNghJGTk0NOTo7/DXQZB8fWn39ba68lxhSDXqfMv1Cb9bVAnDkOh8uB3XXBd1r1yacktjJUsTGB1qzReuz1TjYsPkRuzxS6D2k6zbUhLg5Lfj7W7T8GUV3gCf8AawXpYKmnItrCllMORrQxdXqo8c47/qfEBaD7FPj6ifN1VNecWMPkTpMVUCbTZn0+MKnTJL4p/Iaru1yNu6EBt82GMTnZ7/aCoVnDdyqLrez6upBhM7oSHd/yArGEGTMo/suTRA8cEDF1YyPjKpTix3foPf0BVu4tpq7Bqbaa0EJvAEv8+cnRI1VH/EqTqyZ9Uvuwt0zOT6Mt848sju8p48D3ZxhzY75PxhxAp9eTOGM61cuVq6WrNppBP4ejHmwV6BI6cP+EPF5Ye0htRYry8MMP8/DDD7etkX43wO7FlFhLSI9WNrJFEX0toNPpSLEMZu+fAAAgAElEQVSkUGotpeHgQaKEHm1qLxiaNZpHkiR2rimkvs7B8Jl5GJpa9d0E0QMHUr9/P26bLUAKg4vmcjnHrkXn851nxEcxMDeZlXvPcHWfLJWFKcOOHTva3khSJ6gqZNWxlVzdZWrb22uEIvp8YGrXqWxY/h8mDWv7ZG6wNGt4x9HgYsvSI+QPzSSzS4Lf7STPu4WK994n9e6fKqhOHbQROoDbJVe7T78wYruydya7i6oorm595Z6IJmcopSV7Qj72vCmyYrMwbt5J3BVXqC1Fow1UnbWx6eNDDL6qc5uMOYA5pyOSwx4RYYyaQQd5JWTPy1O/PjCxGy+uPYzb37J1EcihjB50qy5VW4bf2ItOEp/TlUPVR9SWouEnhQXl7N90mjE35BOT4Ht2zOZIvu02Kt55V5G21EQz6JIEhVug04jLdsWYjcwdksO7/pati0C+PrWOyXFdoaGNBbdVouqzTxl85yOsPrFabSkarUSSJHZ9U0htRT0jZuVhMCpnvgxxcZhyOlK/f79ibaqBXz50QRD0wAvAAKABuEcUxUON9v8bGAOc+9ZfK4qilwxYIUDhFujUtD+1b8dEvj9aTsHpanplt+3RTk169GjbBCDIS/1tThsx/W+GPUtaTKvbGpTQ1xJuqxVcLuJSMmk42oDL7WpTUrFgaNaQabA52brsKPnD2uYvb46k66+n+O9/J3PBgrDNxOjvpOh1QJQoiqMEQRgJPA1c22j/YOBqURRD/9lcXAGT/9DsIXeO7sIfl+5lwTW9iDKFXyVwgP/85z9tbmN78XYGZwyW0+puX6iAqgsooa8lqj5fSsLMmQCM7DCSLae3MLqj/2l/g6FZA0qLaijYcJph07sSFRe4Vb06o5G4ceOpXbuWeB8LhYca/j6zjAW+BBBFcTMw9NwOz+g9H/iPIAgbBEEI3anjyhMQ30GOsW4Gg17H/RO68cI3kRXK2Fo2ntrIqA6j5DeZfeUUw2GC5HZjP34cS9euAAzPGs7WYt+qGWmoh7j5NIUFFYy9IT+gxvwccePGYt28GcnRdLrlUMZfg54ANHahuARBODfajwWeBW4DpgIPCILQ33+JAWTnIhg4z6dDsxOjGZCbxBe7TwdYVGCYP38+8+fP9/v8BlcDBr3hQhHo3rNg3+cKqWu7vpao27iJ2DFjzr/X6/REGaKoc9T53WagNbdnnHYXmz49TEyChUFXdkKnD54LJGnuXCoXLw5af0rir0GvBuIbtyOK4rmllVbgX6IoWkVRrAG+Rva1hxb2OnA7ISrR51Mm98pELK6hsNwaQGGB4cCBAxw4cMDv89cVreOKnEahfqZo0OnAocyCjLbqa4m6jRuJHXOxe+XKzlfy1fGv/G4z0JrbK1VnbWxYcoi+4zuS2zsl6P1b8vNxlJTgqgrNab/m8NegbwCuAfD40Bs/e/cA1guCYBAEwYTsntneJpWBYNcHclrYVvLAhO68su4Idqc7AKJClz2le+iT2ufijb1mwb7P1BHUChqOHsXcqdNlE115SXkcrWqmBKFG0Dm6qxRx82nG3pBPfEqUajpSbruN8jDM1eOvQf8EqBcEYSPwT+ARQRAeFQRhliiKBcC7wGbgW+AtURT3KiNXIdxuKD8Cqa3PRWI26rl7bFde+vZwAISFJlUNVcSb4y+f+c/qKxcDCXGqly4lcdZMr/uyY7M5XRuebrRIwu1y88MXx3DaXfISfgVDEv3BmJqKPjYW+4nLc+iHMn5FuYii6Abuv2Tz/kb7/w78vQ26Asvhr6Gb/5kCO6fGkpcey9f7i5nUM1NBYaHJquOruKrzVd53pnaH0oOQlh9cUT7iqqkBgwF9TIzX/Vd2vpJlR5ZxZ587g6xM4xw15fX8uPI4fSfkkJIdq7ac8yTPm8fZf/2bzF/9Um0pPtM+FxYdXQt5E9rUxIz+Hdh2vILTVeGR1GfgwIEMHDjQr3OLaorITcj1vrPv9bDn4zYok2mLvuao+vQzkq5rOud5anQqFfUVfrUdKM3ticM/lrBv/SlGz+0eUsYcQG+xEN23D9ZtTRdJDzXaX3KuswfkUaUCCwd+MSmfPy8v4PczemNW+RGxJZ555hm/zjtVe4oOsR2aPsASD64GcNrB6P8ybH/1NYfkcuE4cxpTx47NHtctqRuHKg7RPbl7q9oPhOb2gsPuYtuKY2R2TWDErNAtPhA/bZqcM33QoLDImR76CpVm94fQT5l6oVEmA/PH5/Hc1wcVaS8UWXVsFVd1acLdcg5hurxAK8So/fZb4idMaPG4SZ0msebEmsAL0gCg7GQtmz4+TN8rcug6ILSTvOl0OhKumRY2OdPbl0G3VYLBAmbv/lR/yE2JYVDnZD7bcVKxNgPBbbfdxm23ta60niRJVDRUkBzVQlWfjoPhZNseS/3R1xLWH7YRPXRoi8fFmmKxOW1IUuuSsAVCcyQjSRJ7152ksKCcsTfmE5ccHnV7YwYNor5gP+6GBrWltEj7Mui7PoABrQ9VbImJQgZnquopOF2teNtKUVRURFFRUavO2V++n16pvVo+UKeTc6VX+J/EzB99zVEvHsDSvbvPOTkGpA9g59mdrepDac2RTH2tg/UfHSSlQxwDp3RCH8SFQkqQfNONVH7wodoyWqT9GHS3G6qKZMMTAO4dl8cHWwupsoXnkmFvrC1cy4ScCb4d3G8u7P4ooHpaQ/WyZSTMmO7z8WM7jmXDqQ0BVNR+OXmggh++PMbwGV3J7ub7Qr5Qwty5M67KypBfbNR+DPqRb9oc2dIcer2Oh6fk88zqAxGRP93lduFwO4gy+ri4IzoZ7LXgUr8Wq+PUKQypKejNvk/SmgwmXG4XTrf6+iMFl8PNDyuOUV1az5g53bHEBD4XSyBJvvUWyt8N7Zzp7cigr4W8wGZQS4oxM2dwDq+sC//iCVvObGFE9uU54pul+xQ4pH6e8cqPPyFpzpxWnzeqwyg2n94cAEXtj5Lj1WxYcogewzPpNTo7bNPRNsaYmoreYsFx6pTaUpqkfRj0ykJIzIEghB317ZhIp5QYlu8KrdWHo0aNYtSoUT4f/8OZHxia2fKE4kV0HgPH/XNbtFZfU7gqK9EZ9Bji41s++BIGZwxmW7Hvk7tKaY4kXC4321cep/hoNeNuzCchLVptSYqSPG8eFe8vUltGk7SPOPRdi2DYPUHrblq/bF7+9jC7iirpn5MUtH6b48knn/T5WKvDitlgbn3xB50OEjrIcxWJOQHT1xyVS5aQ6MfoHMCgN2DWm7E5bUQbWzZESmmOFMpO1rL3u5P0n5RLUqZykWShhD4mBlOnXOr37yeqZ0+15VxG5I/QnQ1yRsDoFkLvFGb++Dw+23EqLItMry1cy8RcP91T/W+S0xKrgLu+Hld1DaaMDL/buCL3Cr4t+lZBVZGP2+Vmx+oTFO2vYOxNPSLWmJ8jafZsqj75VG0ZXol8g773U+jd9NLvQKHT6Xj8KoFnvz5IvcMV9P4vZc6cOczxceQqVogIKYJ/HcWkgMMq30hbQWv0NUXVp5+ReO21LR/YDL1SerG/zLe6kkpoDncqztSx/sOD5PZKYcDk3LALR/QHndFIzPBh1G3cqLaUy4h8g168G7LVqa8RbTbw84ndeXqV2OpFK0pTVlZGWVlZy8fZykiJamMO6t7Xtjqtrq/6mkJyOrGfOIElr6vfbYB8I443x1PV0HJ4Wls1hzNut8TutUUc21XGmBvzSe0Yp7akoBI3aRI1a9eq/r2+lMg26Kd2QJa6tTWyE6OZOaADL4ZJut1Vx1dxdZer29ZI9gA4s0sZQT5Ss2oVCVe3kKLAR9pa+CLSKTtZy/oPD5LVLZFBV3XCYIhsM+INnU5HwlVXUbNyldpSLiKy/xIFn8ul0lSmf04SvbMTWPR96OdWLq4rJis2q+0NZQ2Qb6hBQJIkbLt2Ez1AmZt3p4ROFNYUKtJWJOF0uNj25TFOHqhk7A3dSc9tfSRRJBEzdCi2HTuQnKGzdiFyDbqtUi6TZgyNfBEThAzMRj0r955RW0qTHK8+TqcEhVbS9r5WvqEGgbr1Gy4rL9dWMmIyOFMXun+rYHNSrGDTJ4fJH5pJ/4k56NvhqNwbibOvo+rT0Jkgjdy/yu6PFMuqqBTXD86hsNzKD8fKg9735MmTmTy5+aIeXx3/iimdpyjTodEM5liw+natvujzhiRJ1K1fR+zYsa0+tzmu6nxVi24XfzWHE9ZqO5s+OYS12s7YGyIvrrytRAkC9mPHcNeHRjRbZMahSxJUnoDkzmoruYy7x3bl/746QFKMie4ZwXtk/f3vf9/sfkmSqLXXkmBOUK7T/jfLIYyjHmjx0Jb0NUXtN98QN2GC4isR02PSKbWVNnuMv5rDAbdbYt/6U1ir7QyZ2gVzdGSaCiVIuukmKj/8kJQ77lBbSoSO0E9shk4j1VbhFZ1Ox8NTevD+94UUVVjVlnOeXaW76J+ucDRQYkeoPQPuwIRtSm431i1biBkZmL9118SuHKkK/zQOreXMkSrWf3SQrLwEhs/oqhnzFjDn5uKqrMJVrX621cg06AdXQn4bIzUCiEGv41dTBV5dd5QzVcF5VJs2bRrTpk1rcv/6k+sZ13Gc8h37mN+lJX3eqFn1FfFXXhmwPCGTO01mzfGmC1/4ozmUqa1oYNMnh6gqsTLuhnzSctr3pGdrSL5lHhXvva+2jAg06NZysCSAIbRHFRajgd9M68mLaw9REoTVpDabDZvNe/1Th9uBW3JjMgQgG16XcXD0uxYPa06fNySXC9uPPxLjQwELf4k3x1PrqG0y1ri1mkMVp93F9lXHEbecZsi0Lggjs9G1gwVCSmJMSwOdDkdJiao6Is+g7/pQXn4eBkSZDPxmWi+e++YQpbXqVUPZeHIjYzsqO6l4Hp0OMnrDmT2KNlu94gsSrgn86LhfWj/2lCqrPVSQ3BIHtxbz/dKjdB+cIfvKo0J7IBTKJN8yj4r31R2lR5ZBlySoPin7bsOEaLOBX0/tyTOrD1BeZ1dFw48lPzIwPYDV6/vdoGjxC8nppH7vXsXizptjXM44vjvZ8hNGuFG0v5z1iw8Sm2xh9Jzu3qNXXE6w18lPvTXFUHsW6srk97ZKaKiVC8doAGCIj8eYnIL9uP+Vu9pKZN2Oj62TH/HDjFiLkV9P7cnfvtzPw1N6kBYXvNj5WnstsabYwOarNprl7IvlRyCl7RXeq5YuI2HmDAWEtYzFYMHpduJyu1qffTKUkCSwllMqHmX/D+V0SCljbPpxdIUSXLaGSgJ0oDeAwSTX4T3njpPcF14uBzjr5d+bRAeWeEjIhvgOnp/ZIbM+RGmSbrqR0mefJePxx1XpP7IM+qE1MPl/1FbhF/FRJhZM68Xfv9zPPePyyE1RNmPdjBneDaCisefNMfAWWP9PmPQ7r7ub0ncpkt1Ow4EDJM0OXsK14VnD2XJmC6M7XLx4yVfNQeVcyO7pnVB2EBzy/ExlTRT7CjuTlB3H6Gnp6JP6Q2y6bLQDrae+CmrOQM0pOLYBak6Dq9HTqM4gp11O7QZpAsSmBlZTANFbLJi75lG/bx9RvXsHvf/IMei1Z+VMf2E8ioq1GPnv6b35+5f7uWFoLkKWclEGjzcxYjhafZTZ+bMV66dJzLHySK3mDMRfnlqgKX2XUrFoEUk33KC0umYZnjWc53Y8d5lB91VzQKkphhMboaTAM1L2FOzO7g/5V1JZLlGw8RTxKVEMvyYboynI3w+dDqKT5FdGE/nDXU6oLpKf4HZ/BNZGCc9iUuVryeon//+EAYnXzqLkH09pBr1N7PogbCZDm8Ns1LPgml48s/oAtQ0ZDOkcuDzuByoOkJ+UH7D2L2PwHbDlPzDh136d7jhzBrfV2uaMiq3FoDdg0pt8LnwRUKpPwZFvodyT7C02Q15z0WvWRYOZyhIrBctPEZdkYdj0rhjNITzQMRghuYv86jbp4n21Z+VEb1tfk/35IA8OsvrK+YLi0oOttkV0RiPRQwZTt+V7YkcMD2rfkWHQ3W6oK/E68gtHDHodj17Zg5e/O0J1vYOJgv8FG84xYcIEANauXXt+21fHv+Luvne3uW2fOVdkxFZxWcERb/oupfytt0n/r58HSFzzTOo0ia9PfM30vOnnt/miuc24nFC0VZ4fctbL/ue8iTDgZnn0ewlnT9Rw8Idi4lOiGHpNF0yhbMh9IS4duk+WX+doqJGjpvZ+DHVn5W3mWOg4FDoOAbP6BTbir7yS4iefJGb4sKDWU40Mg350LeRNUFmEsuh0Ou6/ohsf/lDIW5uOcfvIzor+YzS4GpAkiShjlGJt+sTgO2D7WzDmoVadVrdpE9H9+6OPUefL2jOlJyuOrmA601s+uK047XJR8xObQG+E3OEw+hdysjkvSJLEyQOVHNtdSnpOHCOuzYvslLaWeOg8Sn6do6EGin6AzS/INz6dXg6X7TRSlYGeTqcjftJkatesIX5KEOaoPESGQT+yFib/r9oqAsKNQ3PZdrycv36xn0eu7EGUQj7Qr45/xZWdr1SkrVaRkA311fLjsznWp1Mku52ar78h87cLAiyuedKj0ymxlpAR0/Ynpstwu+RR+NF1sjHKmwCTft9sYXOXw83BbcWUnayjQ34SY67v3n4XBFniodtE+QXy51m8FwqWQm2xvC2hA3QZL0++BmHUHDtyBMVPPkncxInoDMF5Ugp/g15zRvYjNvOPH+4M6ZxCx6QY/ry8gPsndKNjUtv9uAcqDjAjT6UojUG3wo73YPi9Ph1esWgRyfNuDuqjqzemdZ3G8iPLubPPnco1WlUkTwTWV0HX8TBhQYurnOsqG9i/+TSOBhfdh2TSc2S2cnoiBb1BnkxtXK2sqkhetbzTs/gntTvkXSEb+gCRMGsWVZ8vDVpUVvgb9F0fwIBb1FYRcLISo/jv6b14ZvVBruiRzqhu/od2Ha8+Tqd4hfKe+0NKHlS/LY/Uo5rP7ugoLvZMhLY9fr2tpEWnUVZfhiRJbbu5uF1w4Es5iVxCRxh0R4uhem63RFFBOScPVBAdb6bP2I5ExQUgVUMkk5gjh8+CHE5ZdgjEFVB9Wh6xZ/WT17HEtLEEYyOi+/ShesUK3A0N6C2Bj70Pb4Pudsmr1kJwpjsQRJkM/HqqwJLtJ/nX6oPcd0Wezy6YG2+8kBv+i6NfcHvv2wMl0zdG3A9bXoIrfgVcrK8x5W+9RfoDLaffDRa9U3uzr2wffdL6NKm5SRpq5dFh5QkQpsGVf2zx0b+61MbBH4qx21zk9kpm5LXd2q9bRUl0OkjLl18gB1YU75afHG3lYIyGLmMgZ9iFRVV+knzDDVR++BEpt9+mgPDmCW+DfmiNnM1PBdwNDTjPluKqqMBdU42rugZXTTXu6hrc9TZwN0roJEkXf3E97/UxMRgSE9AnJGBISMSQlIgpKwt9YmKTI0CdTsfcITkUVVh5ckUB1w/OYUBuUot6H/AYRYfbgd1lJ9bkm/86YMRnyn7P0oOQln9eX2Oqv/iCmGHD0MeqrLURE3Mn8squV+iT1serZq9Un4Yd78grKwfc3OJqWVutncPbz1JTVk9csoU+4zoSFauNxgOKXi/Xws32pJNw2ORFUN/9A9xOOba/+xR5lN9KzF264Pz0U1y1tRjiAltMO7wN+vH1MOX/Kd6s5HTiOHMGR9FJHCdP4jhzGlye5c0eQ6uzWDCmpmJIScaQkIA5Lw1DQgL6uHj00VEtToJIkoS7rg53lZxH2VVVjf3YcaxbtuCqqgLOGXQJQ2oqUT16YOnRA0NiIgA5yTH8YWYf3vv+BBsOl3LP2DzMxqbnEaxWOff6xrMbuSL3ijZ9Poox9G5Y/QeY+uR5fTGeKJaGI0ewHz9B2v33qanwMiwGC27JjcPlwNHgAC5ovoyqk7DtTfnGNfTuZh/l6+scHNtdSsXpOqJizeQNSicxXasOpBqmaMifIr8AKo7BgZVyrii9CTqNgE6jweRblFjyvFuoeP990u71bd7IX8LXoFcVybkh2uDLdFut2I8do+HwEewnjoPLU4hBb8CUnY0pJ4eYESMwZWagMyk7QtLpdBji4jDExWHq2HQyMUmScJWWUn/gAJUff4K7phrJ7cYQH0/0oEHcMrgvx6sdPPlFAWO7pzGpZ4bX0f0111wDwKynZvHIkEcUvRa/MZrlmOoDK7lm/pOAHNPttlqpePc9Mhf8RmWB3hmfM57vTn7HE3c8AXiJQ685Az+8IUfxjP5Fk/MElcVWju8pw1ptxxJjpHO/VG2CM1RJ7gLDPGs2nHYo3AwbngFng7wv/yo5gqsJTJkZ4HLhLC2VU+0GCL8MuiAIeuAFYADQANwjiuKhRvvvBe4DnMCfRFFcpoDWi9n9EQz2LdpAsttpOHyY+oL9OIqKkJMPgS4qGnPXLkT16U3C1KsVN9pKoNPpMKanE5eeTtyYMee3u2pqsP34I2Wvvkqsw8HPo6I5YOjNHw+e5dpBOQz04oZpcDWQFZulerTIRfS4Cr5ccN4NJUkSpS+8QOp989EZQ3O8MSB9AP/c/s/Ld1jL4ftXZJ/ryJ/Jy90bUV/n4NSBSs4W1uB2SySmR5M/LJOYBHOQlGsogtEsRyR1HS+/Lz8iF0SvLQZTjBw6mT3ossi75HnzKF/4FukP/iJw0vw87zogShTFUYIgjASeBq4FEAQhC3gQGApEAesFQfhKFEXlEn67nHKYl5dHWFdtHQ3ifur3FeAsL5ONl9GIpVt3YoYNxXTdtegiIMTREB9P3PjxxI2X/6lctXX03bCBbvu3cmBjHa+md+WKm6aRn3PhMyqzlTGr2yy1JDfN0LuhZgkkdKDq44+JHTceU0YAYr0VQqfTkWRJwul2YtQbZd/4tjehtgRG3AexaUiSRE2pjZLjNZSdqkVySVhiTXTskUSXAWnotYnNyCElT/67g7zA6cha2L9cft9hkLymwBKPITERfUI89qIizDmt98X7gr8GfSzwJYAoipsFQWhcNmY4sMFjwBsEQTgE9Ae2tklpYw6uhB5TcZaWUl9QQP3+/UieyjH6mBgsQk8Spk0N6KNNqGGIiyXh6qtIuPoqMpxO+m7dxo5nn2eP1UHMxInYXbK/N84c2EkZv0jrDm4X7poqXDU1JI0YjiRJVNkclNfZqW1wUlvvpMbz02p30uB0Y3e5sTvdNFFQ6FwSWPQ6HTod6HVgNOiJMuqJMhk8Lz0WkwHLuW1GeVu02UC05xiLUX/ZU83ULlN5qv4pMnRGnF/8gcpON1Ohz6Tq2xpcTrm2ZHxKFBld4skbmIY+kldualzAEg+9ZsovtxtO74AtL8sL6eKzSL5qHKXvf0jGY48GpHt/DXoCUNXovUsQBKMoik4v+2qARD/78cryT74nqqYHxthijOlpGFLHozc3cpdUApuqAfWLtvrDOfvUmjHcOeN1gXRix95KjMvF2X0HKT18Gr3ezLLXt5OelhSMhXKXaWtsd612J9U2J1U2BzX1Dk5Vx2GxVvJuRW/4l3zvt5g8RjXKQFSUkZgYEx2iTUTHmImKNxIdbSQ6yog5yojRbMBo1mMyG9AbdecNsCRJSBK4JQm3BE63m3qHm3qHy/NyU+900eBwU2VzUOKoP7/fandiszlpsLnQ2d3o6l3obC6wuYiyV1F/1sYZXSzPH70e6awbEkqRYo1I0TrMBh1RUj3RJx1El1QRbTKcv0lEm+Ubhcmgx6jXYTbqMRn0mAw6z089Bm0ErxiSJOF0SzhdEk63G6dLwuF24/Jsc7jk3x2e/Q6X5NnnxuGWcHm2NT7feX6bG6dbwu46t1265HsYB8hPxbFnz9L1wDKqSr5l8tmbSE5XvhCPvwa9Gmicy1LvMebe9sUjm1jFGPnwg7y862V+OeyXmPSh5/cONepn5DLMPooxCUNJOrmWs9vLOTVwNNF9+zC6Wyp5acoWuJAkiQqrg8JyK0UVNgorrFjtrvP7dUBauoWc5CT6JMeQXnwc57qeJAzrwU9GbYeR91/Ulsvhxml347C7cNpdF/1eW9GAo8F6frvT4cLl8F5w4fKb3oVtBiDG86LRcUazBUuyEUuMidhEM7HxOmLFhRiMeg64riUlJp2HfnF5XVOHy43VLt80bHYXNof8qre7OFvTgM3hwum6YAgcLjcOl/zU4XBKuJt67PDxusINfwYxjc9t6TyjXofRc9M0nPtdL/9uMugxGnTyMfpzv8s/40x6jHrT5cd5zje26kbcg31lyZwanBkQYw7+G/QNwEzgQ48PfXejfd8DfxYEIQqwAL0ARYsypkancnuv23n2x2d5ZPAjoTXJF4J8fvhz/vTIn+iaKKedlex2qleuomzVuxxK68zneYORGoVZpsdbSIkxE23WE2U0YPG4JlxuCZvdhdVjmKx2F+V1dmoanBeNwHVAcoyJnOQYumfEcYWQTpzF+79a3aZN2Hbs4MFF78tzGzs/gAOr5MlSPJPCZgNGs4EoVL55H1kL27+U/aUpXfnrCAcv7HzB66Emg57EaD2J0dqAQ0OmqqGKpYeX8sthvwxYH/4a9E+AKwVB2Ij8/f2JIAiPAodEUfxcEIR/A+uQa5b+tyiKipe1z03I5erOV/Pante4p989SjcfMbjcLgprCpmUOonS0lLS0tLQmc0kzpxB4swZZO/cycDVKzAkp5A4+zoMSUmU1DRQaXXII0qHi5p6B2dr3Bj1OmLMBhKjTWQlRBFjNpASaybOYvTrplq1fDnu6mrSfvYzSktLAUgbcBOs/Rskd4Z0QemPwz9qimHTc3Jq1qlPng+VraqowlntpNpeTYK5+RQGGu0bt+TmxZ0v8sDAB9DrAjefopNa8WinFIIgdAGOrlmzhpw2zvZuOLmBk7UnuVFo5TLsdsKXx74kOzabh26Q09U2lbvbUVxC1aef4rZaSbhmGlFC4Iyp5HRS/s47mLKySJg6Fbgkt7jLCSt/CxMXXJY3Pai4XXKq35ozMOrnl8WTT5gwgexbMlIAABaVSURBVAZXAw++8iDzes5TSaRGOPD6ntcZ23EsPZJ7tKmdoqIiJk+eDNBVFMVjl+4P+6n3MR3HEGOKYfXx1WpLCTkkSWLX2V0MSB/Q4rGmzAzS7ptP2gM/o76ggJKnn6bi/fdxVlQop8ftpmrZckqeeprYkSPPG/PLMBhlY/7Nk7JRVYPTO+HL38hhZxMXNLk4yGKwcKr2FGoMjDTCg++KviMrJqvNxtwXQnPlRiuZkTeDt/e9zQ9nfmBo1uUTVO2V7898z8jska06R2+xkHSdnOrTXnSSqiVLcFVVEdWvH7Gjx2CIa31eFUmSqF2zBuvWrcRPnUriDB+KREQnyyvzVv9BzgserCrxdWVy0rCEbJj6V59q1A7OGMz2ku0MyRwSBIEa4URhdSG7S3fz84HBqbQVEQYd4LZet/HCzhdItCSSnxzEOpkhzLqidTw61P94V3NOR1LvuQdJkqjfvZuK99/DbbWi0+mx9BSIGTwYQ2rqZf5zyeWSV+bu2Yu98AQ4HMSOHUfmglYWqEgXYPh82f0y+kHZrx4oHDZP3cpaeZVnK1Kojs8Zz7M/PqsZdI2LsDltLNy3kF8P86+Grj9EjEHX6XTc3/9+nt72NHf0voOs2MioL+ovO8/upFdqL0UmYHQ6HdH9+xPdXy4WIDmd1Isi1V98iauykotX9kig02PplkfM0CEkzr6ubVFISZ3g6r/IWe9yhp+PflEMt0vOqX92Pwz9qZyXo5UY9AYSLAmU15eTEqVcLm2N8EWSJF7c8SLz+8/H1Mb0u60hYgw6yF+shwY/xD+2/oNfDPoFiRZF1zOFDW7JzYojK/j18Asjg5/97GeKta8zGonu04foPn0Ua7NZfUYLTPod7F4M656GMQ/75AppFluFHCJZfRL6XHeh8EEraKx5Rt4Mlh5eqmw1I42wZcnBJYzLGReYcoXNEFEGHeRJqgcHP8i/t/+bx4c+HvwiyCHAiqMrmNZ12kWj85tuuklFRS3jk75+c6Fkv+xXj8+GvnNaXwD41I+w73M5E2L/myAp1z/BXKw5IyaDMlsZbskd0LA0jdBn59md2F12hmUNC3rfEWfQARLMCdzT7x6e2f4Mjw19rF2tJrU6rIjl4mX1QgsLCwHIzfXfgAUSn/Vl9ISr/iSHEu75GGrPyJEoXcbLRtpouZBS2eWA4j1yNfjaYtk1lN4TJvxGkUnWSzWP6jCKzac2M7rj6Da3rRGelNnKWHVsFY8PfVyV/iPSoANkxWYxr+c8/rXtXzwy5BEMbX1EDxMWiYu8xkTffrtccq6pOHS1abW++CwY9YBspE/9CHsWywmQnI2Seup0kNkHes5oNle1UppHZI/gn9v+qRn0dorT7eSlnS/x8JCHVVu9HrEGHaBzQmeu7X4tz+14jgcHPRjxKQLO1J3BLbnpEBe4KuYhh04HHQfLL5XR6/TkxudyrOoYXRK7qC1HI8i8tvs15vWap2p5x4h39uUn5zOl8xRe2vVSxC/+eG//e9zSs/WTexrKMbPbTJYeWaq2DI0gs/r4aroldSMvsfl6sYEm4g06QJ/UPozIGsEbe99QW0rA2HV2F92TuhNjaqK+pUZQiDZGE22MpsxWprYUjSBxpOoIhysPM6WzOgXrG9MuDDrA4MzB9Erpxdv73lZbiuK4JTfLjyy/bCJUQx1md5/NJ4c+UVuGRhCwOqy8X/A+d/e7W20pQIT70C9lVIdRALyx5w3u6nNXxPjU3yt4j+u6X9dsuNxjjz0WREWtJ9T1eaMpzanRqVgdVmxOG9HG6CCr0ggWkiTx/I7nuW/AfXIpwhAgNFQEkVEdRmHSm3h196vc0++esDfqu87uwqQ30Su1V7PHzZw5M0iK/CPU9XmjOc2zus1i6eGlWhbQCGaRuIgrO19JWnTolLpsNy6XxgzNGsrw7OG8uPP/t3fvwVFWaR7Hv925EBISLoFAMIlghIMgJBAiI9fMBEQGozNFWc7sKDAyclcBQWsp3Sq33KkZBAMIGBxhcBQVZLzByECBgCi6JpAEUDgitwRiEhIJCSQhF3r/6MaN2OTayfu+3c+niiq6m3T/Dif99Onzvu85r1j6QGlZVRnbT29vVNHQWqO1boNUzWP2fO7Ul7lXx17kluVSa9RqkaJVpeenE2APID4i3ugoP+GTBR0grlscSdFJvJz5Mtcc7rcsMzOHw8Ha7LVMHzS9Ud8yZsyYwYwZM9ogWfOYPZ87DWVOjknmk9xP2jCRaAt5l/M4kHeASX0mGR3lZ3y2oAP0D+/Pvb3v5aWMl7hae7XhHzCRD09+yJjoMXQOMnADCFGv+Ih4sgqzLP0tUPxURU0F64+uZ1bcLFNO1/p0QQfo27kvD/d/mKXpS7lY6bnNHFrTqZJTFFcUG7JWhGiaIRFDyCzMNDqG8ACHw8HqzNXMGDSDQL9Ao+O45fMFHZzLBMxLmEdadhqnL502Ok69SqtKefv427Kqn0UkRSexO2e30TGEB2w8tpF7et1Dt+BuRke5KSnoLiEBISxKXMS2U9tIz083Oo5bZVVlrDy0krmD55rmNClRPz+7HwPCB5B9IdvoKKIF9p/bT8d2HRnUbZDRUeolVaEOf7s/c+Pnsklv4mzpWSb1mWSaebLLVZdZcWhFs9d5f/bZZ1shleeYPZ87jc18b+97WZqxtFF7uwrzOX3pNEeKjjA7frbRURokBf0GNpuN3/X7HZmFmbyY8SLTB06nU1AnQzNdqb7C8kPLmRs/t9mbdowda/xlyfUxez53GpvZbrMzOGKw7HlrQZeuXuKd4++wKHGR0VEaRaZcbmJwxGBmxs1k3dF1fPX9V4blKK8uZ/nB5cyJn9OiD5asrCyysrI8mMyzzJ7PnaZkTo5JZnfObjnjxUKqr1WzOms1cwbPscwUp82IXzClVC/g9O7du4mKimrz128Kh8PBtlPbyL+Sz9QBU9t0f8D8K/m8duQ1ZsfPbvFelUlJSYB510M3ez53mpp5X+4+AvwCGN5T1ku3gpczX+aB2AeICYsxOsqPzp07R3JyMkBvrfWZGx+XEXoDbDYbKbEpjO81ntRDqW0yynI4HGw9uZX3T7zPU0Ofko2HvcToqNHsP7dfRukW8O637zKsxzBTFfPGkILeSDFhMTyd+DQhASH8Nf2vHLlwpFVep7iimCXpS+gR0oNZ8bNkcScvYrPZGBU1iv3n9xsdRdTjQN4B/G3+3BV5l9FRmkwKehP9IvIXPJ34NGdKz7AsYxnfFH/jkRFXzbUatp/ezpvH3mRO/By5aMhL3R15N1/kfSGjdJM6WXKS7MJsftvnt0ZHaRZrzPSbjN1mJyU2hcqaSvbk7uHfZ/5NeFA443uNp0dI03ahP1Vyih1nd1BVW8WYqDFM6D2hlVILM7DZbCTHJLMrZxfjbh1ndBxRR1FFEVu+3WLYBs+eIAW9BYL8g5jQewITek+guKKYHWd2UFBeQJBfEJEdIokJjSEmLIbwoHCuOa5RXFlMYXkhBeUF5F3Oo6iiiF5hvZjSf0qr7zT05z//uVWfv6XMns+d5mYe2mMoS9KXMCZqjGkvIfc15dXlpGWnsSBhgaU3lJezXFpBzbUa8q/kk1OaQ05ZDsWVxdhtdsKDwuke3J2I4Ah6hPSQhbV8WE5pDntz9zJ5wGSjo/i82mu1LM1YyrSB00y1trk7DZ3lIiP0VuBv9ycqNIqo0CiGY45T1A4cOADA8OHmyHMjs+dzpyWZY8JiqKytpOBKAd1Duns6mmiCtYfXMqnPJNMX88aQgu4jFi9eDJj3PG+z53OnpZkfvuNh0g47v+YLY2zWm0nonsDtnW83OopHyFkuQhgkOCCYvp37yvK6Btl5ZichASEMixxmdBSPkYIuhIEm9p7IjjM7ZKu6NvZF3hcUVxYz8baJRkfxKCnoQhjIZrNxf+z9fHjyQ6Oj+Iyvi77m8IXD/L7f742O4nFS0IUwWP/w/pwrO8elq5eMjuL1zpaeZefZnUwfNN3oKK1CDor6iOXLlxsdoV5mz+eOJzM/0v8RXv/6dZ4Y8oTHnlP8VGF5IW8ff5uFQxeaZp8DT2tWQVdKtQfeBCKAMmCK1vrCDf/mIyAcqAYqtNZyCaSB4uPjjY5QL7Pnc8eTmTsHdaZfl358fv5zRtwywmPPK5xKKkt49fCrPDX0KcsshdsczZ1ymQUc0VqPAv4BuNu65XZgpNY6SYq58Xbt2sWuXbuMjnFTZs/njqcz39PrHr78/ktKq0o99pzCuQ/vqqxVzBsyz+sXu2vuR9VIYInr79uB5+o+qJTqDnQCtiqlOgF/0Vpva3ZK0WIvvPACYN6dgcyez53WyDztzmmsO7KO+QnzPfacvuxK9RVWHlrJ44Mfp0NgB6PjtLoGC7pSahpw429XAXD9CE4ZcOO+aIHAMmAF0AX4XCn1lda6sGVxhfBunYI6MThiMHty9vDLmF8aHcfSyqvLST2Yyuz42c3eutFqGizoWut1wLq69yml3gNCXTdDgZIbfiwfSNNa1wCFSqlMQAFS0IVoQFJ0EqkHU4mPiJf1fprpau1VUg+mMjNupk9tENPcOfTPgV+7/j4BuHHF/rHAZgClVAfgTuBYM19LCJ8zbaBz6kU0XWVNJcsylllisS1Pa25BfwUYoJT6DJgOPA+glFqilLpLa70dOKGU+hLYCSzWWhd5JLEQPiAsMIzhtwznX6f+ZXQUSymvLneunHjntCbvTeANZPlcH6G1BkApZXAS98yez522yLz+6HpG9ByB6mKd/xejlFWVseLQCmbFzSK8fbjRcVqFLJ8rAPMXSrPnc6ctMk8dMJUl6UuYOWgmnYI6tfrrWVVJZQmrslbx+ODHfeYAqDty6b+P2Lp1K1u3bjU6xk2ZPZ87bZHZbrMzJ34Oa7LXyAJeN1FUUfTjeea+XMxBRug+Y9myZQCkpKQYnMQ9s+dzp60yhwaG8pB6iHVH13ntGiTNlVOaw8ZjG1mQsKDVt3G0AhmhC2EBsZ1iie0Yy84zO42OYhrZF7J578R7LExcKMXcRQq6EBaRfGsyOWU5HCuWM4B35+wmqzCLJ4c8SYA9wOg4piEFXQgLefTOR9l+ZjunSk4ZHcUwm/VmKmoqmDJgiteumthcUtCFsBC7zc6Tg5/knyf+SW5prtFx2lT1tWpWZ60mJiyG+267z+g4piQHRX3EG2+8YXSEepk9nztGZfaz+zEvYR4vZbzE5P6TiewQaUiOtnSh/AKvHn6Vyf0nEx0WbXQc05KC7iOio839JjB7PneMzBxgD2B+wnyWZizlsYGP0S24m2FZWtuhgkPsyd3DgqELvH7525aSKRcfsWnTJjZt2mR0jJsyez53jM4c6BfI/IT5rD28lqIK71tZw+FwsOn4Jr4r+Y4FCVLMG0NG6D7ilVdeAeChhx4yOIl7Zs/njhkyt/dvz4KEBazKWsUDsQ94zRIBP1T+wGtHXmNszFiGdB9idBzLkIIuhMUFBwSzcOhC1h9dT/6VfMZEjzE6UovsydlD1oUsZsXNIjQwtOEfED+SKRchvIDdZudPA/9EaVUpbx17CyMW3WupsqoyUg+m4sDB/IT5UsybQQq6EF4kJTaFfl36sTJzJVdrrxodp1EcDgf7cveRlp3GlAFT+FXMr4yOZFlS0IXwMkO6D+HBvg+SejCVQwWHjI5Tr5MlJ1mSvgS7zc6ixEU+tbtQa5A5dB+xZcsWoyPUy+z53DFz5p4devJM4jNsO7WNA3kHmDpgqqk2SS6pLGHj8Y10DerKgqEL5PJ9D5GC7iO6djX3Vlxmz+eO2TPbbDZSYlMoqigiLTuNuyLvYnTUaEMzXay8yAfffUBFTQV/6PcHWePdw6Sg+4gNGzYAMHXqVENz3IzZ87ljlcxd23dlYeJC9uXu48X0F0nskcjoqNHYbW0343q29CwfnfyI9v7t+c3tv/G5vT7bimxB5yOSkpIA2Lt3r6E5bsbs+dyxYmaHw0FGQQb7cvcR2ymWibdNJNAvsFVe62rtVQ6cP0BmYSZRoVHcd9t9ssxtC8kWdEKIH9lsNhJ7JJLYIxH9gyYtOw2AgV0HMixyWIsLbnl1OZ+e/5Tjxcdp59eOu3vezbyEeW36bcCXSUEXwkepLgrVRVF7rZajxUfZeGwjFTUVhAWGER0WTc+QnkSGRNKxXcefLVPrcDi4XH2ZExdPoC9qiiqKsGGjnV87Rt4ykvG3jpelbQ0gBV0IH+dn9yOuWxxx3eIAKK0q5XzZefKu5HGw4CAlV0sAflagQ/xD6NO5D+NuHSdz4iYhBV0I8RNhgWGEhYdxR/gdRkcRTSQF3Ud8/PHHRkeol9nzuWPFzMK7SUH3EcHB5j67wOz53LFiZuHd5NCzj1izZg1r1qwxOsZNmT2fO1bMLLybFHQfsXnzZjZv3mx0jJsyez53rJhZeDcp6EII4SWkoAshhJeQgi6EEF7CqLNc/ADy8/MNennfU1NTAzjXgjAjs+dzx4qZhbXVqZl+7h43anGukcD+Nn9hIYTwDqO01p/deKdRI/R0YBTwPVBrUAYhhLAaPyASZw39GUNG6EIIITxPDooKIYSX8JpL/5VSAcB6oBfQDngB+AbYADiAo8AcrfU1gyI2SCnlB/wNUDinov4I2LBQG65TSkUAB4FxQA3WbEMmcMl18zSwFliBsz07tdbPG5WtsZRS/wncDwQCa4B9WKgvlFJTgamum0FAPJCEhfrBVZtex1mbaoHHaKX3hDeN0B8GirXWo4AJwCrgJeBZ13024AED8zVGCoDWegTwXzjzW60N13+B1wIVrrus2IYgAK11kuvPH4E04D+AkcAwpdQQIzM2RCmVBAwHRgBjgGgs1hda6w3X+wDnAOEJLNYPwK8Bf631cOC/gf+hlfrBmwr6u8BzdW7XAAk4RyQA24GxbR2qKbTWHwDTXTdvBQqwWBtcluJ80+W5bluxDXFAsFJqp1LqE6XUaKCd1vqk1toB7ACSjY3YoPHAEeB9YCuwDWv2BUqpocAA4B2s1w/fAv5KKTsQBlTTSv3gNQVda31Za12mlAoFtgDPAjZXpwOUAR0NC9hIWusapdTrwMs422GpNri+Il/QWu+oc7el2uBSjvODaTwwE/i7677rrNCOrsBQ4EGcbdgI2C3YFwCLgedxFsTSOvdboQ2XcU63HMc5pbqSVnpPeE1BB1BKRQN7gDe01m8BdeekQoESQ4I1kdZ6CtAXZ+e3r/OQFdrwKDBOKbUX53znP4CIOo9boQ3gHFW9qbV2aK2/xTmX3qXO41ZoRzGwQ2tdpbXWQCU/LRxWaANKqU5AP631HpzFPLTOw1Zow3yc/dAX5ze/13Ee07jOY23wmoKulOoO7ASe0Vqvd92d6ZpHBOe8uqkvZlJKPeI6iAXO0eA1IMNKbdBaj9Zaj3HNeWYBk4HtVmqDy6PAMgClVE8gGLiilIpVStlwjtzN3o7PgHuVUjZXG0KA3Rbsi9HALgCtdSlQZbF+uMj/H1z/AQiglWqT15zlgvMrWWfgOaXU9bn0J4GVSqlA4BjOKQwzew/4u1LqU5ydPg9n7r9ZqA3uPIX12rAO2KCU+gznmQiP4vyA3Yjz4o6dWuv/NTBfg7TW21xz/1/hHLzNwXm2jtX6QgGn6ty+Pn1kiX4AUoH1Sqn9OEfmi4EMWqEf5MIiIYTwEl4z5SKEEL5OCroQQngJKehCCOElpKALIYSXkIIuhBBeQgq6EEJ4CSnoQgjhJaSgCyGEl/g/Y6WNEHs0ZcwAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spline_basis_plot = dmatrix(\"cr(x, knots=knots) -1\", {\"x\": np.sort(X, axis=0), 'knots': knots}, return_type='dataframe')\n", "plt.plot(np.sort(X, axis=0), spline_basis_plot.values, '-', linewidth=0.5)\n", "for knot in knots:\n", " plt.axvline(knot, ls='--', color='k')\n", "plt.title('Natural spline basis functions');" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Use Patsy to generate the splines, but package it in a easier way\n", "from splines import PatsySplineFeatures\n", "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage']\n", "knots = np.percentile(X, [25, 50, 75])\n", "patsy_features = PatsySplineFeatures(knots)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.5" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "\n", "age_range = np.linspace(df_wage.age.min(), df_wage.age.max(), 1000).reshape((-1, 1))\n", "\n", "# linear regression\n", "linear_model = make_pipeline(patsy_features, skl_lm.LinearRegression())\n", "linear_model.fit(X, y)\n", "y_pred_linear = linear_model.predict(age_range)\n", "\n", "ax1.scatter(df_wage.age, df_wage.wage, facecolors='None', edgecolors='grey', alpha=.5)\n", "ax1.plot(age_range, y_pred_linear)\n", "ax1.set_xlabel('age')\n", "ax1.set_ylabel('wage')\n", "\n", "# probability of wage > 250 given age\n", "y_log = (df_wage['wage'].values > 250).astype(int)\n", "log_model = make_pipeline(patsy_features, skl_lm.LogisticRegression(C=1e10))\n", "log_model.fit(X, y_log)\n", "y_pred_log = log_model.predict_proba(age_range)[:, 1]\n", "\n", "ax2.plot(age_range, y_pred_log)\n", "ax2.set_ylim(ymin=-0.005, ymax=0.2)\n", "# rug plot\n", "ax2.plot(df_wage.age, y_log*0.19, '|', color='k')\n", "ax2.set_xlabel('age')\n", "ax2.set_ylabel('P(wage>250|age)')\n", "\n", "for ax in (ax1, ax2):\n", " for knot in knots:\n", " ax.axvline(knot, ls='--', color='k', linewidth=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Using SciPy spline basis" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Use scipy in a nicer packaged way\n", "from splines import BSplineFeatures, NaturalSplineFeatures" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage']\n", "knots = np.percentile(X, [0, 25, 50, 75, 100])\n", "bspline_features = BSplineFeatures(knots, degree=3)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "fig.suptitle('SciPy cubic splines')\n", "\n", "age_range = np.linspace(df_wage.age.min(), df_wage.age.max(), 1000).reshape((-1, 1))\n", "\n", "# linear regression\n", "linear_model = make_pipeline(bspline_features, skl_lm.LinearRegression())\n", "linear_model.fit(X, y)\n", "y_pred_linear = linear_model.predict(age_range)\n", "\n", "ax1.scatter(df_wage.age, df_wage.wage, facecolors='None', edgecolors='grey', alpha=.5)\n", "ax1.plot(age_range, y_pred_linear)\n", "ax1.set_xlabel('age')\n", "ax1.set_ylabel('wage')\n", "\n", "# probability of wage > 250 given age\n", "y_log = (df_wage['wage'].values > 250).astype(int)\n", "log_model = make_pipeline(bspline_features, skl_lm.LogisticRegression(C=1e10))\n", "log_model.fit(X, y_log)\n", "y_pred_log = log_model.predict_proba(age_range)[:, 1]\n", "\n", "ax2.plot(age_range, y_pred_log)\n", "ax2.set_ylim(ymin=-0.005, ymax=0.2)\n", "# rug plot\n", "ax2.plot(df_wage.age, y_log*0.19, '|', color='k')\n", "ax2.set_xlabel('age')\n", "ax2.set_ylabel('P(wage>250|age)')\n", "\n", "for ax in (ax1, ax2):\n", " for knot in knots:\n", " ax.axvline(knot, ls='--', color='k', linewidth=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Use scipy natural splines" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage']\n", "knots = np.percentile(X, [0, 25, 50, 75, 100])\n", "natural_features = NaturalSplineFeatures(knots)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# it seems that changing this coefficient the spline resembles the natural spline generated by patsy above\n", "# There should be an equation to find the right values...\n", "natural_features.natsplines[4][1][5] = 0.5" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "fig.suptitle('SciPy natural cubic splines')\n", "\n", "age_range = np.linspace(df_wage.age.min(), df_wage.age.max(), 1000).reshape((-1, 1))\n", "\n", "# linear regression\n", "linear_model = make_pipeline(natural_features, skl_lm.LinearRegression())\n", "linear_model.fit(X, y)\n", "y_pred_linear = linear_model.predict(age_range)\n", "\n", "ax1.scatter(df_wage.age, df_wage.wage, facecolors='None', edgecolors='grey', alpha=.5)\n", "ax1.plot(age_range, y_pred_linear)\n", "ax1.set_xlabel('age')\n", "ax1.set_ylabel('wage')\n", "\n", "# probability of wage > 250 given age\n", "y_log = (df_wage['wage'].values > 250).astype(int)\n", "log_model = make_pipeline(natural_features, skl_lm.LogisticRegression(C=1e10))\n", "log_model.fit(X, y_log)\n", "y_pred_log = log_model.predict_proba(age_range)[:, 1]\n", "\n", "ax2.plot(age_range, y_pred_log)\n", "ax2.set_ylim(ymin=-0.005, ymax=0.2)\n", "# rug plot\n", "ax2.plot(df_wage.age, y_log*0.19, '|', color='k')\n", "ax2.set_xlabel('age')\n", "ax2.set_ylabel('P(wage>250|age)')\n", "\n", "for ax in (ax1, ax2):\n", " for knot in knots:\n", " ax.axvline(knot, ls='--', color='k', linewidth=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Degrees of freedom" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage'].values" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "errors_natural = []\n", "degrees = range(4, 10)\n", "for df in degrees:\n", " linear_model = make_pipeline(PatsySplineFeatures(df=df), skl_lm.LinearRegression())\n", " score = cross_val_score(linear_model, X, y, cv=10, scoring='neg_mean_squared_error')\n", " errors_natural.append(-score.mean())" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage'].values\n", "\n", "errors_cubic = []\n", "degrees = range(4, 10)\n", "for df in degrees:\n", " knots = np.percentile(X, np.linspace(0, 100, df))\n", " linear_model = make_pipeline(BSplineFeatures(knots), skl_lm.LinearRegression())\n", " \n", " score = cross_val_score(linear_model, X, y, cv=10, scoring='neg_mean_squared_error')\n", " errors_cubic.append(-score.mean())" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 720x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10,4))\n", "\n", "# substract the two outer knots\n", "ax1.plot(np.array(degrees)-2, errors_natural, 'r.-');\n", "\n", "ax2.plot(np.array(degrees)-2, errors_cubic, 'b.-');\n", "\n", "for ax in (ax1, ax2):\n", " ax.set_xlabel('Degrees of freedom')\n", " ax.set_ylabel('MSE')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.5 Smoothing Splines" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "from splines import SmoothingSpline\n", "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage'].values" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "smoothing_spline_df16 = SmoothingSpline(s=2.8e3)\n", "smoothing_spline_df16.fit(X, y)\n", "smoothing_spline_df7 = SmoothingSpline(s=3.75e3)\n", "smoothing_spline_df7.fit(X, y);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.8" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 360x288 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(5,4))\n", "\n", "age_range = np.linspace(df_wage.age.min(), df_wage.age.max(), 1000).reshape((-1, 1))\n", "y_pred_df16 = smoothing_spline_df16.predict(age_range)\n", "y_pred_df7 = smoothing_spline_df7.predict(age_range)\n", "\n", "ax.scatter(X, y, facecolors='None', edgecolors='grey', alpha=.5)\n", "ax.plot(age_range, y_pred_df16, 'r', label='16 DOF')\n", "ax.plot(age_range, y_pred_df7, 'b', label='7 DOF')\n", "ax.set_xlabel('age')\n", "ax.set_ylabel('wage')\n", "ax.legend();" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "errors_smooth = []\n", "smoothing = np.logspace(2, 6, 10)\n", "for s in smoothing:\n", " score = cross_val_score(SmoothingSpline(s=s), X, y, cv=10, scoring='neg_mean_squared_error')\n", " errors_smooth.append(-score.mean())" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogx(smoothing, errors_smooth);\n", "plt.xlabel('smoothing parameter')\n", "plt.ylabel('MSE');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.6 Local Regression" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "import local_regressor" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "X = df_wage['age'].values.reshape(-1, 1)\n", "y = df_wage['wage'].values\n", "age_range = np.linspace(df_wage.age.min(), df_wage.age.max(), 1000).reshape((-1, 1))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "n_neighbors = len(X) # all NN, use sigma to control local influence\n", "# sigma is related to the maximum distance between neighbors (in years)\n", "sigmas = [0.1, 1, 10, 100]\n", "y_preds = []\n", "for sigma in sigmas:\n", " kernel = lambda dist: np.exp(-dist**2/(2*sigma**2))\n", " local_regression = local_regressor.LocalRegressor(n_neighbors, weights=kernel)\n", " local_regression.fit(X, y)\n", " y_preds.append(local_regression.predict(age_range))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.10" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 360x288 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(5,4))\n", "\n", "ax.scatter(X, y, facecolors='None', edgecolors='grey', alpha=.5)\n", "for num, sigma in enumerate(sigmas):\n", " ax.plot(age_range, y_preds[num], label=f'sigma: {sigma}')\n", "ax.legend();\n", "ax.set_xlabel('age')\n", "ax.set_ylabel('wage');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.7 Generalized Additive Models" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [], "source": [ "from pygam import LinearGAM, LogisticGAM\n", "from pygam.utils import generate_X_grid\n", "X = pd.concat((df_wage[['year', 'age']], df_wage.education.cat.codes), axis=1)\n", "X.rename(columns={0: \"education\"}, inplace=True)\n", "y = df_wage['wage']" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>year</th>\n", " <th>age</th>\n", " <th>education</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>2006</td>\n", " <td>18</td>\n", " <td>0</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>2004</td>\n", " <td>24</td>\n", " <td>3</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2003</td>\n", " <td>45</td>\n", " <td>2</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " year age education\n", "0 2006 18 0\n", "1 2004 24 3\n", "2 2003 45 2" ] }, "execution_count": 76, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X.head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.7.1 GAMs for Regression Problems" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] } ], "source": [ "gam = LinearGAM(n_splines=10).gridsearch(X, y)" ] }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinearGAM \n", "=============================================== ==========================================================\n", "Distribution: NormalDist Effective DoF: 13.532\n", "Link Function: IdentityLink Log Likelihood: -24119.2334\n", "Number of Samples: 3000 AIC: 48267.5307\n", " AICc: 48267.682\n", " GCV: 1247.0706\n", " Scale: 1236.9495\n", " Pseudo R-Squared: 0.2926\n", "==========================================================================================================\n", "Feature Function Data Type Num Splines Spline Order Linear Fit Lambda P > x Sig. Code \n", "================== ============== ============= ============= =========== ========== ========== ==========\n", "feature 1 numerical 10 3 False 15.8489 8.23e-03 ** \n", "feature 2 numerical 10 3 False 15.8489 1.11e-16 *** \n", "feature 3 categorical 5 0 False 15.8489 1.11e-16 *** \n", "intercept 1.11e-16 *** \n", "==========================================================================================================\n", "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", "\n", "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", " which can cause p-values to appear significant when they are not.\n", "\n", "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", " are typically lower than they should be, meaning that the tests reject the null too readily.\n" ] } ], "source": [ "gam.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.11" ] }, { "cell_type": "code", "execution_count": 112, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XX = generate_X_grid(gam)\n", "fig, axs = plt.subplots(1, len(X.columns), sharey=True, figsize=(15,4))\n", "titles = X.columns\n", "for i, ax in enumerate(axs):\n", " pdep, confi = gam.partial_dependence(XX, feature=i+1, width=.95)\n", " ax.plot(XX[:, i], pdep, 'r')\n", " ax.plot(XX[:, i], confi[0][:, 0], c='grey', ls='--')\n", " ax.plot(XX[:, i], confi[0][:, 1], c='grey', ls='--')\n", " ax.plot(X.iloc[:,i], np.ones_like(X.iloc[:,i])*(-35), '|', color='k')\n", " ax.set_title(titles[i])\n", "\n", "axs[2].xaxis.set_ticklabels(['', '<HS', 'HS', '<Coll', 'Coll', '>Coll'])\n", "axs[1].yaxis.set_tick_params(labelleft=True)\n", "axs[2].yaxis.set_tick_params(labelleft=True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.7.2 GAMs for Classification Problems" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "y_log = (y > 250).astype(int)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] } ], "source": [ "gam_log = LogisticGAM(n_splines=10).gridsearch(X, y_log)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.13" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XX = generate_X_grid(gam_log)\n", "fig, axs = plt.subplots(1, len(X.columns), sharey=True, figsize=(15,4))\n", "titles = X.columns\n", "for i, ax in enumerate(axs):\n", " pdep, confi = gam_log.partial_dependence(XX, feature=i+1, width=.95)\n", " ax.plot(XX[:, i], pdep, 'r')\n", " ax.plot(XX[:, i], confi[0][:, 0], c='grey', ls='--')\n", " ax.plot(XX[:, i], confi[0][:, 1], c='grey', ls='--')\n", " ax.plot(X.iloc[:,i], np.ones_like(X.iloc[:,i])*(-4), '|', color='k')\n", " ax.set_title(titles[i])\n", "\n", "axs[2].xaxis.set_ticklabels(['', '<HS', 'HS', '<Coll', 'Coll', '>Coll'])\n", "axs[1].yaxis.set_tick_params(labelleft=True)\n", "axs[2].yaxis.set_tick_params(labelleft=True)" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] } ], "source": [ "X_no_less_HS = X[X.education > 0]\n", "gam_log_no_less_HS = LogisticGAM(n_splines=10).gridsearch(X_no_less_HS, y_log[X.education > 0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### FIGURE 7.14" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "XX = generate_X_grid(gam_log_no_less_HS)\n", "fig, axs = plt.subplots(1, len(X.columns), sharey=True, figsize=(15,4))\n", "titles = X.columns\n", "for i, ax in enumerate(axs):\n", " pdep, confi = gam_log.partial_dependence(XX, feature=i+1, width=.95)\n", " ax.plot(XX[:, i], pdep, 'r')\n", " ax.plot(XX[:, i], confi[0][:, 0], c='grey', ls='--')\n", " ax.plot(XX[:, i], confi[0][:, 1], c='grey', ls='--')\n", " ax.plot(X_no_less_HS.iloc[:,i], np.ones_like(X_no_less_HS.iloc[:,i])*(-4), '|', color='k')\n", " ax.set_title(titles[i])\n", "\n", "axs[2].xaxis.set_ticklabels(['HS', '<Coll', 'Coll', '>Coll'])\n", "axs[2].xaxis.set_ticks(range(1, 5))\n", "axs[1].yaxis.set_tick_params(labelleft=True)\n", "axs[2].yaxis.set_tick_params(labelleft=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 7.8 Lab: Non-linear Modeling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.8.1 Polynomial Regression and Step Functions" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "# Figure 1 has been done in Section 7.1\n", "# Figure 2 in Section 7.2" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "C:\\Anaconda3\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in greater\n", " return (self.a < x) & (x < self.b)\n", "C:\\Anaconda3\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py:879: RuntimeWarning: invalid value encountered in less\n", " return (self.a < x) & (x < self.b)\n", "C:\\Anaconda3\\lib\\site-packages\\scipy\\stats\\_distn_infrastructure.py:1821: RuntimeWarning: invalid value encountered in less_equal\n", " cond2 = cond0 & (x <= self.a)\n" ] }, { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>df_resid</th>\n", " <th>ssr</th>\n", " <th>df_diff</th>\n", " <th>ss_diff</th>\n", " <th>F</th>\n", " <th>Pr(>F)</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>2998.0</td>\n", " <td>5.022216e+06</td>\n", " <td>0.0</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>2997.0</td>\n", " <td>4.793430e+06</td>\n", " <td>1.0</td>\n", " <td>228786.010128</td>\n", " <td>143.593107</td>\n", " <td>2.363850e-32</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2996.0</td>\n", " <td>4.777674e+06</td>\n", " <td>1.0</td>\n", " <td>15755.693664</td>\n", " <td>9.888756</td>\n", " <td>1.679202e-03</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>2995.0</td>\n", " <td>4.771604e+06</td>\n", " <td>1.0</td>\n", " <td>6070.152124</td>\n", " <td>3.809813</td>\n", " <td>5.104620e-02</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>2994.0</td>\n", " <td>4.770322e+06</td>\n", " <td>1.0</td>\n", " <td>1282.563017</td>\n", " <td>0.804976</td>\n", " <td>3.696820e-01</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " df_resid ssr df_diff ss_diff F Pr(>F)\n", "0 2998.0 5.022216e+06 0.0 NaN NaN NaN\n", "1 2997.0 4.793430e+06 1.0 228786.010128 143.593107 2.363850e-32\n", "2 2996.0 4.777674e+06 1.0 15755.693664 9.888756 1.679202e-03\n", "3 2995.0 4.771604e+06 1.0 6070.152124 3.809813 5.104620e-02\n", "4 2994.0 4.770322e+06 1.0 1282.563017 0.804976 3.696820e-01" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "X1 = PolynomialFeatures(1).fit_transform(df_wage.age.values.reshape(-1,1))\n", "X2 = PolynomialFeatures(2).fit_transform(df_wage.age.values.reshape(-1,1))\n", "X3 = PolynomialFeatures(3).fit_transform(df_wage.age.values.reshape(-1,1))\n", "X4 = PolynomialFeatures(4).fit_transform(df_wage.age.values.reshape(-1,1))\n", "X5 = PolynomialFeatures(5).fit_transform(df_wage.age.values.reshape(-1,1))\n", "fit_1 = sm.GLS(df_wage.wage, X1).fit()\n", "fit_2 = sm.GLS(df_wage.wage, X2).fit()\n", "fit_3 = sm.GLS(df_wage.wage, X3).fit()\n", "fit_4 = sm.GLS(df_wage.wage, X4).fit()\n", "fit_5 = sm.GLS(df_wage.wage, X5).fit()\n", "\n", "sm.stats.anova_lm(fit_1, fit_2, fit_3, fit_4, fit_5, typ=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.8.2 Splines" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [], "source": [ "# Done in Sections 7.3 and 7.4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 7.8.3 GAMs" ] }, { "cell_type": "code", "execution_count": 263, "metadata": {}, "outputs": [], "source": [ "def plot_GAM_model(gam_model, dataX):\n", " XX = generate_X_grid(gam_model)\n", " fig, axs = plt.subplots(1, len(dataX.columns), sharey=True, figsize=(15,4))\n", " titles = dataX.columns\n", " for i, ax in enumerate(axs):\n", " pdep, confi = gam_model.partial_dependence(XX, feature=i+1, width=.95)\n", " ax.plot(XX[:, i], pdep, 'r')\n", " ax.plot(XX[:, i], confi[0][:, 0], c='grey', ls='--')\n", " ax.plot(XX[:, i], confi[0][:, 1], c='grey', ls='--')\n", " ax.plot(dataX.iloc[:,i], np.ones_like(dataX.iloc[:,i])*(-35), '|', color='k')\n", " ax.set_title(titles[i])\n", "\n", " axs[-1].xaxis.set_ticklabels(['', '<HS', 'HS', '<Coll', 'Coll', '>Coll'])\n", " axs[1].yaxis.set_tick_params(labelleft=True)\n", " axs[-1].yaxis.set_tick_params(labelleft=True)" ] }, { "cell_type": "code", "execution_count": 248, "metadata": {}, "outputs": [], "source": [ "# Most of it done in Section 7.7\n", "# Here we compare 3 models:\n", "# 1: no year\n", "# 2: linear year\n", "# 3: splines year\n", "# for all three age is modelled with 5 cubic splines" ] }, { "cell_type": "code", "execution_count": 245, "metadata": {}, "outputs": [], "source": [ "X = pd.concat((df_wage[['year', 'age']], df_wage.education.cat.codes), axis=1)\n", "X.rename(columns={0: \"education\"}, inplace=True)\n", "y = df_wage['wage']" ] }, { "cell_type": "code", "execution_count": 228, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n", "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n", "100% (11 of 11) |########################| Elapsed Time: 0:00:00 Time: 0:00:00\n" ] } ], "source": [ "gam_no_year = LinearGAM(n_splines=[5, 5], spline_order=[3, 0], penalties='none').gridsearch(X[['age', 'education']], y)\n", "# use 2 splines of order 1 to fit a linear model to year\n", "gam_linear_year = LinearGAM(n_splines=[2, 5, 5], spline_order=[1, 3, 0], penalties='none').gridsearch(X, y)\n", "gam_splines_year = LinearGAM(n_splines=[4, 5, 5], spline_order=[3, 3, 0], penalties='none').gridsearch(X, y)" ] }, { "cell_type": "code", "execution_count": 229, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LinearGAM \n", "=============================================== ==========================================================\n", "Distribution: NormalDist Effective DoF: 10.0\n", "Link Function: IdentityLink Log Likelihood: -24122.8967\n", "Number of Samples: 3000 AIC: 48267.7934\n", " AICc: 48267.8818\n", " GCV: 1245.9343\n", " Scale: 1238.4609\n", " Pseudo R-Squared: 0.2909\n", "==========================================================================================================\n", "Feature Function Data Type Num Splines Spline Order Linear Fit Lambda P > x Sig. Code \n", "================== ============== ============= ============= =========== ========== ========== ==========\n", "feature 1 numerical 2 1 False 0.001 1.31e-03 ** \n", "feature 2 numerical 5 3 False 0.001 1.11e-16 *** \n", "feature 3 categorical 5 0 False 0.001 1.11e-16 *** \n", "intercept 3.01e-02 * \n", "==========================================================================================================\n", "Significance codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n", "\n", "WARNING: Fitting splines and a linear function to a feature introduces a model identifiability problem\n", " which can cause p-values to appear significant when they are not.\n", "\n", "WARNING: p-values calculated in this manner behave correctly for un-penalized models or models with\n", " known smoothing parameters, but when smoothing parameters have been estimated, the p-values\n", " are typically lower than they should be, meaning that the tests reject the null too readily.\n" ] } ], "source": [ "gam_linear_year.summary()" ] }, { "cell_type": "code", "execution_count": 264, "metadata": {}, "outputs": [ { "data": { "image/png": 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2tSgmsmvXLjIzM3WhQ0RERDqckrNeYsmSJezfv5/09HTmzJlDYWGhrvKLtFNERIS/cA5YF0GWLl2K1+ulsLCQq666ivT09ABGKCIiIr2JkrMeyOfzUVxczEcffcTs2bOJiopi0qRJFBUV6YOiSCcKDQ3lwQcfZMOGDWzZsoWdO3eSkZHB9ddfT2pqaqDDExERkR5OyVkP4vP5+OSTT1i3bh3Hjx8nKiqKsrIyoqKi/PuSiUjnio2NZcaMGRQVFbF161Y2btxIWFgYADU1NYSFhanIjoiIiLSJkrMeoqGhgaeffprS0lLi4uK44YYbGD58OA6H/glFAiE0NJSxY8dy5ZVX+ouJLF26lDNnzjB+/HiGDRtGUFBQgKMUERGRnuSyP9kbhjEW+KVpmkWGYeQBzwE+YCfwoGmaXsMw/hWYBbiBfzFNc2MnxNxneL1eDh8+zIABAwgODsYwDCZOnEhhYaGuzIt0E803bB8xYgRr167l9ddf5/3336eoqIihQ4fq77WXU/8oIiId5bI+MRiG8T3gGSCs8dSvgcdM05wA2IA5hmFcAUwCxgK3A092fLh9g8/nY8eOHTz55JP8+c9/pqysDIApU6YwZMgQfdAT6aYKCwv52te+xp133kl4eDhLly5lw4YNgQ5LOpH6RxER6UiXO3J2APgy8Hzj41HAmsb7bwPTARNYYZqmDzhiGIbDMIwk0zRLOzLg3szn82GaJqtWreLUqVOkpKRw++23Ex8fH+jQROQy2Ww2Bg4cSF5eHnv27CEnJweA4uJivF6v/7H0GuofRUSkw1xWcmaa5suGYWQ3O2Vr7GQAKoEYIBooa/acpvPqfC5TdXU1L7/8MjExMdx8880MHjy4xZQpEek5bDYbhYWF/scffPAB+/fvJy8vj+nTp5OUlBTA6KSjqH8UEZGO1NZqEt5m951AOVDReP+z5+USKioq2LZtG9dccw1RUVHcf//9pKSkaOqiSC8zd+5cNm7cyPvvv8/vf/97xowZw6RJk4iIiAh0aNKx1D+KiEibtTUD2GIYRlHj/ZnAWuADYIZhGHbDMLIAu2mapzsgxl7J5XKxevVqnnjiCdasWeNfV5aamqrETKQXcjgcjBs3jm9+85uMGjWKf/zjH+zZsyfQYUnHU/8oIiJt1taRs28DTxuGEQLsAZaYpukxDGMtsB4r6Xuwg2LsVZrWlb399ttUVFQwePBgpk6dSmxsbKBDE5EuEBkZyaxZsxg7dqx/Penu3bsJDw9nwIABAY5OOoD6RxERabPLTs5M0ywGrmq8vxer8tRnn/MT4CcdE1rv5Ha7WbZsGREREdx8881kZWUFOiQRCYDExETAumDzwQcfcPz4cYYNG8a0adOIiooKcHTyRah/FBGRjqIdjLuAx+Nhy5YtjBw5kuDgYObPn09cXJw2qBURbDYb9957L2vXruWDDz5g7969TJkyhVGjRqkgkIiISB+j5KyTHT16lDfeeINTp04RERFBYWGh/4q5iAhAcHAw1157LcOGDWPZsmUsW7aMpKQk+vfvH+jQREREpAspOeskbreb1atX8+GHH+J0Opk7dy4FBQWBDktEurHExETuueceDh8+7E/MiouLyczM1Ei7iIhIH6DkrJMsXbqUXbt2MXLkSKZPn05YWFigQxKRHsBms5GdnQ3AuXPneP7550lKSmLOnDmkpqYGNjgRERHpVKrZ3oE8Hg8ulwuA8ePHc+edd/KlL31JiZmItElMTAy33XYb1dXVPP3006xcuRK32x3osERERKSTaOSsg5SWlvLyyy+TlpbGl770JV3hFpEOYRgGWVlZrFixgnXr1rFv3z7+6Z/+SdMcRUREeiElZ+3k8/n4+OOPWb58OSEhIRiGEeiQRKSXCQ8PZ86cORQWFnL69Gl/Yubz+VTRUUREpBdRctYOtbW1vPnmm+zevZucnBxuvPFGnE5noMMSkV5q4MCBDBw4EIADBw7wwQcfMGfOHGJiYgIcmYiIiHQErTlrh7q6Og4dOsTUqVOZN2+eEjMR6TK1tbUcPXqUp556il27dgU6HBEREekASs6+IJ/Px549e/D5fMTFxfHQQw8xfvx4TS0SkS41ZMgQvv71r5OQkMCSJUtYunQp9fX1gQ5LRERE2kHJ2RdQV1fH4sWL+dvf/sa+ffsACA0NDXBUItJXxcfHc9999zFp0iS2b9/O7t27Ax2SiIiItIPWnF2mU6dOsXjxYsrLy5kxY4Z/3YeISCAFBQVRVFTEoEGDSE5OBqC8vJyYmBiN6IuIiPQwSs4uw549e3j11VcJDQ3lnnvuoX///oEOSUSkhZSUFMDauPqpp54iPz+fG264gZCQkABHJiIiIpdLydllCAkJIS0tjZtvvllFP0SkW3M6nYwbN47Vq1dz/Phxbr31Vn/iJiIiIt2b1pxdRF1dnX/9Rm5uLvPnz1diJiLdnt1uZ+LEidxzzz3U19fzzDPPsHXr1kCHJSIiIpdBydkFnD17loULF/LKK69QUVEBoLUbItKjZGdns2DBAjIzMzl8+HCgwxEREZHLoGmNn3HkyBEWL16M1+vlrrvuIjo6OtAhiYi0SVRUFPPmzcPr9QJw+vRpQkNDNQtARESkm1Jy1sy2bdt44403iI2N5Y477iAhISHQIYmItIvdbsdut+Pz+Xj55ZepqqritttuIzMzM9ChiYiIyGe0KTkzDCMY+BOQDXiAfwLcwHOAD9gJPGiaprdDouwitbW1ZGVlceuttxIeHh7ocEREOozNZuOmm27ixRdf5LnnnuO6665j9OjRmrLdCXprHykiIp2vrWvOrgccpmmOA34G/AL4NfCYaZoTABswp2NC7Fxer5dTp04BMHbsWObNm6fETER6peTkZL72ta+Rm5vLW2+9xeuvv47b7Q50WL1Rr+kjRUSka7U1OdsLOAzDsAPRQAMwCljT2P42MLX94XWuhoYGXnzxRf74xz9SVVWFzWbDbleNFBHpvcLCwrjjjjuYOHEiZWVlgQ6nt+oVfaSIiHS9tq45q8KarvEJkAjcAEw0TdPX2F4JxLQ7uk5UU1PDX//6V44ePcr1119PVFRUoEMSEekSNpuNyZMnM3HiRIKCgqitreXs2bOkpaUFOrTeosf3kSIiEhhtHSZ6GHjHNM18YDjW3PqQZu1OoLydsXWa8vJyFi5cyIkTJ7jtttsYM2ZMoEMSEelyQUFBAKxYsYKFCxeyffv2AEfUa/ToPlJERAKnrcnZWeBc4/0zQDCwxTCMosZzM4G17Qut82zYsIGqqirmzZvHoEGDAh2OiEhATZs2jYyMDF599VXeffddf+l9abMe3UeKiEjgtHVa42+AhYZhrMW6GvhDYBPwtGEYIcAeYEnHhNhxfD4fNpuNqVOnMnr0aJXK76tqa6G0FM6cgYoKqKy0bi90v64O6usvfXi94GucreTztTyaztls4HBAcLB1NL/f/AgLg4gIiIxsfdv8fkwMxMaeP2JirNcUaYOIiAjuvvtuli9fzocffkhpaSlf/vKXCQsLC3RoPVWP7CNFRCTw2vRpzjTNKuC2CzRNal84nefYsWMsX76cuXPnEhUVpcSst6mthWPHrOPoUes4edJKwk6fbnlbU3Pp17LZICoKnE4ID4fQ0JZHTEzLx3a79TVNX/vZA6wEze2GhgbraH6/6aipsWKuqYHq6vO3DQ2X9zOIimqZsMXFQVISJCe3PJrOJSVZCaEI1hTHWbNmkZyczKZNmwIdTo/WE/tIERHpHvrEpfYjR46waNEiIiIiVDa6p6qthYMH4cCB88ehQ1YSduwYXKjqXGQkJCZaSUhSEhQWWrdN5+LjrUTL6YToaOtwOq2v605VO5sSt6ZkrbraGtkrL4ezZ63bCx1HjsDmzXDqlJUMXkhcnJWopaZCRgakp7e8zciw2hvXJknvN2bMGK644gr/ejQRERHpOr0+OTt48CAvvvgi0dHR3HPPPURHRwc6JLkYn89KtHbtso7du2HfPisRO3as5XOjo2HAAMjKgnHjWicU6elWotUbBAdbSWRMG4u7+XxWsnbq1PmjtPT8/ZMn4cQJWLvW+jl/NpELCoK0NOtnmplp/dxzcqzbAQOgf38ICbnwe0uPpMRMREQkMHp1cnbw4EFeeOEFEhISuPvuu1Uuvzs5dw4+/hi2b7cSsZ07rWTs3Lnzz0lKgvx8mDIFcnOtIy/Puk1IOD9lUC7NZrNGyOLiwDAu/Vyv10rcmkYkP3u7ZQssXdpyqqXNZiXEzZO2nBwYONB6v9jYzv3+RERERHqJXp2cpaSkMHjwYGbMmEFERESgw+m7mhKxzZvPH/v2nW9PSIDBg+HOO63bpiMpKXAx91V2O6SkWMeoURd+jscDx49b00oPHrRum4533209ypmcbCVphmEl2033c3K05k1ERESkmV6ZnJ04cYLk5GQiIyO56aabAh1O3+LzWdMQ162DDz6wjj17zrdnZVkf+ufPt25HjLASAY2C9RxBQdb0xsxMmDixdXtdHRQXw969YJrnj9des0blmjgcVoI2aBAMHWodQ4ZYI25K2kRERKQP6nXJWXFxMYsWLWLMmDFMnz490OH0fl4vbN0Kq1dbidi6ddY6JrCm0Y0bB3fdBaNHwxVXaDSsLwgLg4IC6/iss2etRK154rZrF7z5pjUiB9b6tYKC88laU+KWmakkXkRERHq1XpWcHTlyhBdeeIG4uDjGjx8f6HB6J5/Pmsr23nuwciX8/e/nKyXm5MCMGXDNNTB+vDUi0p2qHkrgxcXBVVdZR3N1dfDJJ9bawx07rNv334dFi84/JzoaRo60kvymwzBUSVJERER6jV6TnH366acsWrTIX5UxMjIy0CH1HpWV1lqit9+2krLiYut8ejrMnm0V7Lj2Wquin0hbhIVZU1xHjGh5/tw5K1HbuRO2bbMKkjz1lLW1Alibcg8f3jJhKyxU9UgRERHpkXpFcuZ2u1myZAlRUVHMnz9fVRk7wpEj8MYb1rFqFbhcVin3yZPhO9+BqVOt4g6aZiadKSbGGoVtPhLudlvTIT/++Pzx5z/Dk09a7SEhVsJ21VUwdqx1m5Oj31URERHp9npFcuZwOLj99tuJiIjA2Vv2tupqPp+1duzll62EbPt26/zAgfCNb1gjZOPHq1CDBJ7Dcb6i5913W+e8XqsQTVNV0I0bYeFCeOIJqz0x0UrUmpK1MWNU4l9ERES6nR6dnFVUVLBv3z5GjRpFampqoMPpeXw+a6rYSy/B3/4G+/db63euuQZ+9SsrIcvPD3SUIp/PbrcuJAwcCHPnWufcbqvYyIYN8NFH1u1bb1m/92AVHbn6auv3fcIEaw89ja6JiIhIAPXY5Kympobnn3+eiooK8vPzNWL2RezaBS++aCVke/daCdmUKfCDH8CNN1r7jon0dA6HNb1x+HD42tesc+fOwT/+cT5he/11ePZZqy0lxUrSmpK14cNVbERERES6VI9Mzurr61m0aBFnz55l3rx5SswuR2kp/PWv1tqczZutkYam9WM33WRN+xLp7WJirPWSU6daj71ea/3a2rXWsW4dLFlitTmd1sjahAnWMXasVbhEREREpJP0uOTM7XazePFiTpw4wdy5c8nOzg50SN2XywXLlsGf/mTdut1WKfL//m+4/XZrpECkL7PbrS0fBg06P7p29KiVpDUlbD/+sTUVMizMWnd57bXWMXq0NTonIiIi0kF63CeLQ4cOUVxczJw5czAMI9DhdE8HDsD/+39WQYTTp6FfP/iXf4F77rE28xWRi8vIsC5e3H679fjsWStZW7XK2tfv0Uet804nTJxoJWpTplh/W9rXT0RERNqhxyVnAwcO5IEHHiBR0/BaamiAN9+09oBascJaKzNnDnz1qzBtmq7wi7RVXJxVHGf2bOvx6dOwevX5TdiXLbPOJyRYU4Wvvdb6m8vLC1jIIiIi0jP1yE/sSsyaOXHCSsieeQaOH7eu+v/sZ/CVr2hTaJHOkJgIt9xiHWBNg2waVVu58vyatdxcuO46mDHDStq0/6KIiIh8jh6ZnAlWCfzf/AZeeMFaS3bddfD738P112uUTKQrZWRY+63dfbe1Nm3/fnjnHet49llrc+zgYKsKZFOyNmyYyvaLiIhIK23+FG8dsw6DAAAgAElEQVQYxv8BvgSEAP8LrAGeA3zATuBB0zS9HRCjNPF6rX2afvMb6yp9RAQsWAAPPaQpVCLdgc12fr+1b3wD6uut9WrvvAPLl8P3v28dqalWkjZjBkyfDvHxgY5cOpj6SBERaYs2rV43DKMIGAeMByYBmcCvgcdM05wA2IA5HRSjuFzwxz9CYaG17sU04T/+w5pO9cQTSsxEuqvQUKtYyH/+J2zfbv3NLlxoFRJ57TW44w5IToaiIviv/7L2HZQeT32kiIi0VVtLi80AdgCvAm8AbwKjsK4MArwNTG13dH1dba01JSovzyrsEREBixbBoUPW1fe4uEBHKCJfRHo63HeftQl8aSl8+KH1t3zmjLXnoGFYx3e+A2vWWFOWpSdSHykiIm3S1mmNiUB/4AZgAPA6YDdN09fYXgnEtD+8Pqqqyiry8atfwcmT1t5Kf/iDtV5F61REeoegIGuT66uvhl/8AoqLrYqrb7wBv/udNZIWF2etI5092/r7j9F/qz2E+kgREWmTtiZnZcAnpmm6ANMwjDqsaRtNnEB5e4Prc6qqzn8oO3MGpk6FxYutKVBKykR6t+xsa53aN74BlZXWlhivv26V6l+0yCr0U1QEN98MN95o7V8o3ZX6SBERaZO2TmtcB1xnGIbNMIw0IBJY2TjPHmAmsLYD4usb6uutpCw319rg9uqr4aOP4N13YdIkJWYifY3TaSVhf/qTNXq+bh088ggcPgz//M/WNhkTJljFgYqLAx2ttKY+UkRE2qRNyZlpmm8CW4CNWPPpHwS+DfzUMIz1WNWplnRUkL2W220V+hg40Kq4OHgwrF9vTW0aOzbQ0YlIdxAUZE1t/uUvrWJAO3bAT35ija498ggMGACjR8Pjj1vtEnDqI0VEpK3aXErfNM3vXeD0pHbE0nf4fPDSS/CjH1nV2a680toPacqUQEcmIt2ZzQZDhljHj39s7an26qvwyivWqPujj1pVXb/8Zbj1Vhg6VCPvAaI+UkRE2qKt0xqlrTZssK6Cz51rbUy7dKk1hVGJmYh8UXl58N3vWiPun35qba2RkmKNog0fbiVqP/0pfPJJoCMVERGRy6DkrKscOQJ33glXXQUHD8Izz8C2bTBnjq5si0j7ZWRYxUT+/ncoKbEqvvbrZyVngwbBiBHW/oiHDgU6UhEREbkIJWedrbLSmmpkGNb0o0cfhX374CtfsdaSiIh0tKQkWLAAVq2yNr7+7W+tfRL/z/+BnBxrTetvfmO1iYiISLeh5Kyz+HxW+ev8fGuK0c03W4v1f/5zqxKbiEhXSEuDb33L2vC6uBj+8z+tYkSPPAKZmdZWHf/7v3D6dKAjFRER6fOUnHWGPXvg2mth3jzrw89HH8Ff/gJZWYGOTET6sv79rTVqmzdbxYj+7d+grAwefBBSU63NrhcvhpqaQEcqIiLSJyk560jV1fCDH8CwYdZ6sqeeshbqqyy+iHQ3AwfCY4/Bzp2wdSs8/DBs2QK3324VFXn11UBHKCIi0ue0uZS+NOPzWVUXH3rIqph2333WnkRJSYGOTETk0mw2q7Lj8OHw7/8O779vJWaJiYGOTEREugmPx0NtbW2r82FhYTgcDtxuN3V1dV+4PTw8nKCgIBoaGqivr//C7REREdjtdlwuFy6Xq1V7ZGQkNpvtc9vr6+tpaGho1R4VFQVAXV0dbrcbgNDQUIKDg1s9t6MoOWuv48fhgQfgtdesEbO//tUqlS8i0tMEBcHkydYhIiLS6MSJE/zxj39sdf6WW25h8ODBHDlyhOeff75V+5133snAgQPZv38/ixcvbtV+3333kZWVxe7du1m6dGmr9gULFtCvXz+2bt3KW2+91ar9m9/8JvHx8WzcuJGVK1e2av/Od75DZGQk69atY+3ata3af/jDHxIcHMyqVavYsGFDizabzcaPf/xjAN555x22bt0KwKxZsxg9enSr1+ooSs7ayueDhQvh29+G+nprkf3DD4NDP1IRERER6fl++ctfcvXVV3PFFVdw/fXXt2pPTU0FIDEx8YLtycnJAKSkpFywPS4uDoD09PQLtkdHRwPQv3//C7ZHREQAkJubS2hoaKv2kJAQAPLz83FeoCBfUGPl9MLCQhISElq02ZptdTVs2DDS0tIAyOrkGhLKJNri0CH42tfgvfesSmfPPGOt3xARERER6QV8Ph91dXV4vV6ioqIYM2bMRZ8bHR19yfa4uLhLticmJpJ4ien0ycnJ/kTvQlJTU/2J4oVkZGSQkZFx0fasrKxLJl0DBgxgwIABF23vSCoI8kV4PPC738GQIbBhA/z+99Y+QkrMRERERKQX8Xg8wPnRJekaGjm7XMXFcM89sHYtzJwJf/iDVSZfRERERKSX8Xq9gJKzrqaRs8/j88Fzz1nFPrZute4vW6bETERERER6raaRM7td6UJX0k/7Uk6fhltusUrjjxwJO3bA/PlW6WkRERERkV7KbrczcuTIS671ko6naY0X8/bbcP/9UFZmVWJ85BGrzLSIiIiISC8XGhrKl770pUCH0edo5Oyz6urgG9+A66+3NmH9xz/gu99VYiYiIiIifYbP58Pn8wU6jD5HI2fN7d0Lt90G27ZZe5Y9/jiEhQU6KhERERGRLlVWVsaTTz7Jzbm5DPnMHmB9WmoqjBjRaS+v5KzJCy/AggUQGgpvvgmzZgU6IhERERGRgPAXBHn8cdizJ8DRdCNBQXDuHERGdsrLtys5MwwjGdgMTAPcwHOAD9gJPGiapre9AXa6mhp46CFrI+lrroG//hUusUmdiIjI5egVfaSI9Fn+UvpFRfDss4ENpjtJTu60xAzakZwZhhEM/AGobTz1a+Ax0zRXG4bxFDAHeLX9IXaiPXusaYy7dsEPfwg//Sk4NJgoIiLt0yv6SBHp0zwuFwBBKSkwdmyAo+k72lMQ5FfAU8DxxsejgDWN998GprbjtTvf4sUwejScPAnLl8MvfqHETEREOkrP7iNFpM9rSs7s+nzcpdqUnBmGcS9QaprmO81O20zTbCrpUgnEtDO2zuF2W9UXb7/d2rts61aYPj3QUYmISC/Ro/tIEZFGztBQxq5fT2xISKBD6VPamgrfD/gMw5gKjAD+DDTfoc4JlLczto53+rSVlK1cCQ8+CL/+NegXTkREOlbP7CNFRJqJj4zkunfesbaXki7TpuTMNM2JTfcNw1gNfB34v4ZhFJmmuRqYCazqiAA7zObN8OUvW9MYn30W7r030BFJD+Hz+fB6vbjdbhwOB0FBQdTX11Ne3vqzVWxsLKGhodTX11NTU4PD4fAfQUFB2O3aWlCkt+uRfaSIyGd46urwBgfjCA7GFuhg+pCOnET6beBpwzBCgD3Akg587fb505+sMvnJybBunbXWTPqcps0U7XY7dXV17N+/n6qqKqqqqqirq6O+vp5Ro0aRnZ3N0aNHefHFF6mvr8ftdvtfY+7cuRQUFHDkyBFeeOGFVu8xb948cnNz2b9/P0uWtP4TuP/++8nMzOSTTz5hzZo1hIWFtTjGjRuH0+nk3LlzVFRUEBUVRVRUFMHBwZ36sxGRTtd9+0gRkQswDxzgpUcf5es2GymBDqYPaXdyZppmUbOHk9r7eh3K47HWl/3mNzB5slUEJCkp0FFJJ2ka3QoJCaG+vp7169dz7tw5zp49y7lz56iqqmLKlClcddVVVFVV8fLLLwNgt9v9ydGgQYMAiIyMxDAMQkNDcTgcBAcH43A4SGr8/UlNTeXWW29tFUNKivXfV3p6OjfeeCNut7vFERNjLTNxOBxER0dTV1fHmTNnqKuro66ujiuvvBKAHTt2sHLlSv/rhoaGEhkZyf33309kZCSHDx+mtLSU2NhYYmJiiImJIURTdEW6nW7dR4qIXIK/WqMuEHep3lt+pbIS7rgDli2Db37TWl+majO9hs/nY9u2bZw+fdp/nD17lrFjxzJ9+nTsdjtr1qzB6XQSGxtLRkYGTqeT1NRUAOLi4njggQeIiooiLCwMm63lgH1cXByzZ8++6PtHRUVRWFh40fbY2FhiY2Mv2p6Xl0deXt5F24cOHUpKSop/ZK+6upqqqirCwsIA2LlzJ5s2bWrxNREREXz729/GbrdjmibV1dXEx8cTHx+P0+ls9T2KiIiIXIynoQGwkrOKigq2bt3a6jmDBg0iKSmJs2fPsmPHjlbtQ4YMIT4+ntOnT7N79+5W7cOHDycmJoaTJ09immar9iuuuIKoqCiOHz/O/v37W7WPGTOG8PBwPv30Uw4dOtSq/aqrriIkJITi4mKOHDnSqv2aa67Bbrezf/9+jh8/3qLNZrMxYcIEAPbu3UtJSQkAAwcO9H+e7Ay9M1s5fBhmz4bdu+HJJ+GBBwIdkbSB1+ulrKyMkpISSkpKOHnyJPHx8Vx//fXYbDZWrFhBfX09CQkJJCcnU1BQQE5ODgDBwcE89thjBAUFXfC1g4KC/KNg3VHTaNjFzJw5kwkTJnDu3Dn/UVdX51/TtmXLlhb/yTkcDjIyMpg/fz4ABw4c8I8ERkREdO43IyIiIj2Ot3Hk7KzPR0hFBatWtV4qm5CQQFJSEmfOnLlge1paGvHx8ZSWll6wPTs7m5iYGEpKSi7YbhgGUVFRHD169ILtQ4cOJTw8nMOHD1+wfdSoUYSEhHDgwAHWrVvXqn3cuHHY7Xb27dvHxo0bW7TZ7XZ/crZnzx5/choREdGpyZnN5/N9/rM6iGEY2cChlStXkpGR0Tlv8tFHMGcO1NfDSy/BtGmd8z7SoXw+H6WlpVRUVPhHlJ5++mn/VYymZMowDIqKigD8a7JUZKM1r9dLRUUFZ86c8R92u52pU62tlZ566ilOnjwJWP/JJCYmkpeX5/9PqLq6moiICI22SZsdPXqUKVOmAAwwTbM4wOF0e13SP4qIfAH/WLKEt3bt4qqkJKb/8z/j9XpbPcdut2Oz2fzF0zqr3ev1cqGcpbPbmy7yN2+32Wzt/ux5qT6yd42cvfiiVYUxPR1Wr4bG9UPSPX366afs27ePY8eOcezYMerr6wkLC+N73/seNpuNq666Cq/XS79+/UhMTGw1ChYdHR2gyLs/u93un1rZNJrY3B133EFpaSmlpaX+aaEVFRWAlSg/+eSTeDweEhMTSUpKIikpiezsbNLT07v6WxEREZEA6BceDlizkWw220VnIwGd3v55yVCg2ztS70jOfD74xS/gRz+CCRPglVcgMTHQUUkzlZWVHD58mOLiYmbMmEFwcDCmafLhhx+SkpLC0KFDycjIaHHFeOjQoQGMuHdrmjZ5oXVvPp+PyZMn+5O2gwcPsm3bNsaNG0d6ejoul4tFixaRlJREcnIyKSkpJCcnE974n7iIiIj0fE3JWUhoaIAj6Vt6fnLm8VgbSv/hDzBvHjzzDOiXqFsoLS1lw4YNFBcXU1ZWBlhVB8eMGUNKSgrjx49n4sSJqjLYzdjtdsaMGdPiXF1dHR6PB4Da2loAdu3axebNm/3PueGGGxg1ahTV1dXs37+f5ORkEhMTtQ2AiIhID1RTUwOA/RIjWtLxenZyVlMDd94Jr70GP/gBPP44aI1MQHg8Hj799FP2799Pfn4+WVlZ1NXVsWPHDvr3788VV1xBdnY2/fr18w8Na6Sl52iqEgnWqNt9992Hz+ejsrKSU6dOcfLkSTIzMwFruurSpUsBa5pCfHw8ycnJTJ48maSkJNxuN3a7XWsFRUREurGNx44BKqXf1XpuclZWZlVk/OgjeOIJ+MY3Ah1Rn+PxeNiyZQsHDhzg4MGDuFwu7HY7UVFRZGVlkZ6ezve//319CO+lbDYb0dHRREdHt5gemZ+fz4MPPuhP2ppum1eSXLFihX9aZNOatpycHBza7kJERKRbsHm92LxeChsvvkrX6JmfhA4fhuuug0OH4G9/g1tuCXREfYLP5+PEiRNUVVWRn5+P3W5n9erVOBwOhg4dSl5eHgMGDCC0cVqpkrK+yW63k5iYSGJi4gX3guvXrx+jR4/m1KlT/vVsAD/4wQ9wOBxs2rSJo0ePtkjeYmJiVDlSRESkC/ncboI8HpwqwNalel5ytmMHzJhhTWlcsQImTgx0RL2ax+PhyJEj7NmzB9M0qaioIDY2loEDB2Kz2fj6179OZGSkPjjLZcvMzPRPgQRrPVtZWZk/qa+srOTAgQP+pA3A6XTy8MMPY7PZ2LdvHwCJiYnExMToIoCIiEgnqHe7AThbX09cgGPpS3pecvbf/w12O6xbB0OGBDqaXsnj8fj3fVi+fDmbNm3C4XCQl5fH5MmTyc/P9ydjUVFRAY5WerqwsLAWJfonT57M5MmTqa2t9Zf7d7lc/t+5VatWceLECcDafyQ+Pp7c3FxmzJgBQElJCZGRkURFRemigYiISBvVud24g4M5XlGh5KwL9bzk7Le/BYcDmhUokPbzer0UFxezc+dO9uzZw7333ktKSgojR44kJyeHvLw8Vd2TLhUeHk5WVhZZWVktzs+bN4/S0lLKysooKyvjzJkzLdoXLVpEVVUVISEhxMfHk5CQQH5+PsOGDQPgzJkzREdHa33bBTRtWO7xeDAMI9DhiIhIAGU7HOwCglRVu0v1vE8nGqnpUNXV1bz//vvs3r3b/4G2oKDAP1UsLS2NtLS0AEcpcl5ERAT9+/enf//+rdp8Ph833nhji8Tt+PHjOJ1Ohg0bhtvt5oknngCsUd+mjbqHDBmCYRh4PB7/86OionpFAuf1ev1/z59++inHjx+nsrLSf/h8PubPnw/AO++8w969e4mJiVFyJiLSx6U23tp1cb5L9fxPHvKFnT17lqqqKjIzMwkODmb79u1kZ2czZMgQ8vPzNUImPZbNZiM3N5fc3NyLPufGG2+kvLyc8vJyzp07x7Fjx/zTKisqKli4cKH/uWFhYTidTiZNmsTgwYOprKxk8+bNREREEB4e7j8SEhIICwvD5/P54+gMbreburo6XC4XLpeL2tpaampqKCgoICgoiD179rB7925qamqoqamhsrKS2tpaHn30Uex2O9u3b2fTpk3Y7XacTidOp5OYmBh8Ph82m41JkyYxfvx4orX4W0T6mJqaGt566y1cLleL8xkZGUxsrG/wyiuvUFdX16J9wIABXH311QAsXrzYvydok4EDBzJmzBi8Xi8vvvhiq/cdNGgQI0eOxOVysWTJklbtw4YNY8iQIVRXV/Paa6+1ar/iiisoKCjg3LlzLFu2rFX72LFjyc3N5fTp06xYsaJV+/jx4+nfvz8lJSX8/e9/b9lYXQ1AkPYP7lJKzvoIl8vF7t272bZtG8XFxfTr148FCxYQEhLCt7/97V4xQiDyeRwOB8OHD79oe2RkJHfeeSeVlZVUVVX5b5v2eSsvL2fNmjWtvu6WW25h8ODBHDx4kL/85S84HA6Cg4MJCQkhODiY2bNnk5WVRXFxMatWrcJms/nXddpsNq677joSExMxTZP3338fr9eL1+vF4/Hgcrm49957iY+PZ+PGjbz77rut3v/hhx8mOjqa8vJyjh07RmRkJNHR0aSlpeF0Ov3rSIuKiigqKiIiIuKCCaRGyUWkr/J4PMTFxbFnzx5Cmk3ja56MVVdXU1tb2+LrPtvubiyi0aS+vt5/v6qqqtX7NiWDPp+vTe0NDQ2ANUuiLe1N8brd7lbt9Y2JpqY1di1b05XermAYRjZwaOXKlWRkZHTZ+/Z169evZ/Xq1bhcLuLj4xk+fDjDhw8nJiYm0KGJ9Dher5fa2toWR2pqKk6nk7KyMnbs2IHL5aKhocF/TJw4kZSUFIqLi1mzZg0+nw+v14vP58Pn8zF79mxSUlI4cOAAH330kX+T7qCgIEJCQigqKiI6OpqSkhI+/fRTQkJCCA0NJTQ0lMjISBISEggKCgr0j6aFo0ePMmXKFIABpmkWBzicbk/9o4h0N65/+zfK/+d/iD10iJCIiECH06tcqo/UcEkvVFtby9atWxk2bJj/CnphYSEjRowgKytLFexE2sFutxMZGUlkZGSrtoSEBIqKii76tdnZ2WRnZ1+0/fOmZPbr149+/fp9kXBFROQyVFVVUV5eTmpqare72BUoIQ0NJJ86BeHhgQ6lT1Fy1kv4fD6OHTvGpk2b2LlzJx6Ph/DwcEaMGMHgwYMZPHhwoEMUERER6ZY++eQTli1bxiOPPILT6Qx0ON1CWUMD+8eNY2htLREaOesybUrODMMIBhYC2UAo8HNgN/Ac4AN2Ag+apuntkCjlktxuNwsXLuTEiROEhIQwcuRIRo8eTUpKSqBDExHpc9RHivQ8TWuzVBTtvBNeL8unTyenulrJWReyt/Hr5gFlpmlOAGYC/wP8Gnis8ZwNmNMxIcqFnDlzho8//hiwihxkZmYya9YsHnnkEWbNmqXETEQkcNRHivQwTYUxVCDtvKbKk5rm2bXa+hv4EtC83qcbGAU0lTF7G5gOvNr20OSzfD4fxcXFbNiwAdM0cTgcDBo0iPDwcGbOnBno8ERExKI+UqSHaRo5UyJynpKzwGhTcmaaZhWAYRhOrA7oMeBXpmk2lX6sBFQKsAOdOHGC119/nZKSEiIiIpgwYQJjxowhXIs0RUS6FfWRIj1PQ0MDwcHBKprWjJKzwGjz2K1hGJlYV/3+1zTNFwzD+M9mzU6gvL3B9XVNG8kmJiYSFRUFwOzZsxk6dKjmRIuIdGPqI0V6lhHDh5NVVwef3Yi5D/OWl0M33Kqlt2trQZAUYAXwDdM0Vzae3mIYRpFpmqux5tiv6pgQ+56KigrWr1/P5s2bSU9PZ/78+TidThYsWBDo0ERE5HOojxTpeVL27yflxhsDHUa3MiIkBGPsWEJ/9KNAh9KntHXk7IdAHPAjwzCa/sUeAn5nGEYIsIeW8+3lMpSVlbFu3Tq2b9+Oz+dj6NChjB8/PtBhiYjIF6M+UqSHOXHkCJ70dDJ+9jPIywt0ON1CKBCanw/2ttYPlLZo65qzh7A6ms+a1L5w+iafz4fNZmPv3r3s3LmTUaNGMW7cOGJjYwMdmoiIfEHqI0V6njXHj3PuhhtYMH48GEagw+kWiouLObJ3LxNSUrQWrwupXmgAffrpp6xZs4bBgwf79yYbNmwYkZGRgQ5NREREpM9ocLtxuN2gQmt+Bw8eZN26dUycODHQofQpSs4CoCkpO3DgABEREQwZMgSwNj5UoQ8RERGRrtXg8RDc0KDkrBmPx6NiIAGg5KyLvf3222zcuJGIiAimTZvG6NGjCQkJCXRYIiIiIn2W2+MhvKEBIiICHUq3oeQsMJScdYGjR4+SmJhIWFgYubm5REdHM2bMGCVlIiIiIt1Ag8+naY2f4fF4sKsYSJdTctaJTp48yd///nf27t3Ltddey4QJE8jPzyc/Pz/QoYmIiIhIo9n19QR/9JEqEzajkbPAUHLWCc6ePcvq1avZvn07oaGhXHvttYwdOzbQYYmIiIjIBWRVVUFlZaDD6FZmzpzJtGnTAh1Gn6PkrBO8/fbbHDp0iHHjxnHNNdcQriFyERER6SZOnDjBli1bWp1PSUlh1KhRALz77rs0NDS0aE9PT2f48OEALF++HK/X26K9f//+DB48GK/Xy/Lly1u9fk5ODgUFBbhcLt57771W7fn5+eTl5VFbW8uqVa33aS8sLCQ7O5vKykrWrl3bqn3o0KFkZmZy9uxZ1q9f36p95MiRpKamcvr0aTZu3NiirTY8nNJ58+Cpp/znHA4HX/3qVwFYuXIl+/bta/E14eHhzJ8/3//zKC4ubtEeHR3NnXfeCcAbb7zBsWPHWrQnJiZyyy23APDKK69w6tSpFu2pqanMmTMHgMWLF3P27NkW7ZmZmcyaNQuAv/zlL1RVVbVoz8nJYfr06QA8++yz1NfXt2gvKCigqKgIgD/84Q/4fL4W7dpvNzCUnHWA+vp61q9fz4gRI4iNjeW6667D4XAQHR0d6NBEREREWoiMjCQoKIht27a1OO9yufzJ2SeffEJtbW2Ldp/P50/Odu/ejdvtbtEeHBzM4MGD8fl87Ny584LvW1BQgMfjuWB7XFwceXl5uFyuC7anpKSQnZ1NXV3dBdszMzPJzMyktrb2gu25ubmkpqZSVVXVqt0TFoYrIoL+YWGEhYUBtJjSFxER0Wr/2abnNX1vn22Piopqcf/z2l0uV4v25lsrOZ3OVslT8693Op04HC0/1jf/+piYmFavH9Gs+ElsbGyr19fgQmDYPvsP0ZkMw8gGDq1cuZKMjIwue9/O4vV6+fjjj1m1ahU1NTXMnDmTK6+8MtBhiYgE3NGjR5kyZQrAANM0iwMcTrfX2/pHkR7ny1/Gt28fbN+uDZel012qj9TIWRsdOHCAd955h9LSUvr378+0adNIT08PdFgiIiIil7R37168Xi8FBQWBDqX7qK3FFh4OSswkwJSctdGuXbtwu93cdtttFBQU6CqLiIiI9AgbNmzA5XIpOWvmUGgoO0eMYHp9PaGhoYEOR/owJWeXqbq6mtWrVzNixAjS09OZPn06Doej1fxeERERke7M5XJpr9XPKAkN5eP0dKZ14XIfkQtRZvE5PB4PGzduZM2aNbhcLhITE0lPT2+xCFRERESkp2hoaGhRLEKgobHyZHBwcIAjkb5OydklFBcX89Zbb1FaWkpeXh7Tp08nKSkp0GGJiIiItJlGzlpz+3zYfD7s2oRaAkzJ2SUcOfL/27v3+KjqO//jr8mQKwm5mJAQAokg+aZRELPgakCwRQra4rVb+KEoRf3Vy8+ft+7j1/JQa7u73X10f9ra3z7sbbGyWNZq28VLRRFcbpVSV2mt2v1WECM3QSCGQIBMLr8/zkyYyczECEPOmZP38/HgATmfw8znnDOZ7/mc7/d8zweEQiHmzZtHbW2t7isTERGRtBcKhdRD1Euou5vM7m6d64nrVJxF6ezsZPPmzZSUlFBXV0djYyMXXnihvsBERETEN25cuJDgBx/An//sdiqeEWhvJ1f3m4fAOmEAABgASURBVIkHqDgL2759Oy+88AL79++noaGBuro6TfYhIiIivlP08MPwne+4nYanfB74/HnnuZ2GiIqzI0eOsGrVKt58802KioqYN28exhi30xIRERFJuc7OTja1tjKmvp7KBx5wOx3vyMiAmTPdzkIktcWZMSYDeBQ4FzgO3GSt3ZrK90i19957j7feeouLLrqIiy66SEMYRUTktEjHNlL85/jx46w54wyGjBtH5dy5bqfjGRs2bCD0xht87nOfczsVGeRS3XN2JZBjrb3QGHMB8BBwRYrf45QdPHiQvXv38pnPfIZzzjmHqqoqiouL3U5LRET8LS3aSPG3UCgEQFYw6HIm3rJ9+3Y6OjrcTkOEVM8XOhV4EcBa+ztgUopf/5R0dnayceNGfvjDH7Jy5Uo6OjoIBAIqzEREZCB4uo2UwSFSnGXqvvoYHR0dGj0lnpDq38xhQEvUz53GmCHWWtcvRezatYvnnnuup8ds9uzZmvBDREQGkmfbSBk82tvbAchSIRIjFAqRm5vrdhoiKS/ODgEFUT9neKHRaW5uZsmSJeTn5zN37lzq6urcTklERAYfT7aRftfS0kJzczMAwWCQUaNGAbB3716OHj0as25mZiYjR44EYM+ePRw/fjwmnp2dzYgRIwDnom+kFyoiJyeHiooKAHbu3Bk3TC4vL4/hw4cDzrNUu7q6YuJDhw6lrKwMgKamJrp7Te1eUFDAGWecQXd3N01NTXHbWlhYSHFxMZ2dnezYsSMuXlRUdKLnTA+hjqFnv4lXpLo4+y0wB3gqPJ7+Tyl+/U+ltbWVgoICiouLueqqqxg3bhw5OTlupiQiIoOXp9rIwWLp0qU9xVlhYSF33XUXAC+//DLbtm2LWbesrIzbbrsNgJUrV8YVOCNHjuSmm24C4Nlnn2Xfvn0x8TFjxrBgwQIAfvWrX/Hxxx/HxOvq6pgbnoTjySefjCsOzz33XK688koAli1bRmdnZ0x88uTJXHbZZXR1dbF06dK4bZ0yZQqXXHIJ7e3tCeOf/exnmTJlCvc+8QQ506bFxQezvLw8hg4d6nYaIikvzv4DmGmMeRUIAF9J8ev3S0dHB+vWrWPTpk0sXLiQqqoqxo8f70YqIiIiEZ5oIwebw4cPc/bZZzNp0iSCUZNgzJw5k6lTp8asG91zcumllybsOYu4/PLLE/acRVxzzTUJe84i5s2bl7DnLGLBggUJe84AMjIyuOGGG+K2tbCwEICsrKyE8aKiIoLBIPn794MKkRiLFi1yOwURIMXFmbW2C7glla/5ae3evZtnnnmGffv2MXHiREpLS91MR0REBPBGGznYdHV1EQqFKC0tpaamJiZWXl7e5/+NDF9MJjL8MZmqqqo+46NHj+4zXl1dnTQWCATitidaMBjsM761vJxXi4rojupdy83N5ctf/jIAa9asYefOnTH/Z9iwYVx11VUAvPTSS3z44Ycx8ZKSEubMmQPA888/z4EDB2Li5eXlzJ49G4AVK1bQ0tISE6+qqmLGjBkAPP3007S1tcXEa2pqmD59OgDLly+PK4zHjRtHY2MjQMJew/r6eiZPnkwoFGL58uVx8XPPPZeJEyfGLRcZaL6aEWP9+vWsXbuW/Px85s+fz7hx49xOSURERFySkZHB/fffH9cDNai1t7O7vJztwSCjo3ruonvxuru743r1unqtO9Dx6GPYn3hvnyYu4qbAQH4YjTE1wPY1a9Z84hWlk7Fx40Y++ugjZs+erRl3RERctHPnzshV8DOtte+7nI7nne72UaRHczOUlMDDD8Pdd7udjcig1FcbmdY9Z93d3WzZsoX8/Hxqa2uZMmUKgUDA7bRERETEAw4dOsT69euZNGlSzyyKg96RI87fuudMxJNS/RDqAdPW1sZTTz3Fc889x5tvvgmgwkxERER6HDp0iNdff53W1la3U/GOI0d4bs4cftPrni4R8Ya07Dnbtm0bK1asoK2tjZkzZ3LhhRe6nZKIiIh4TM8Dl/VMrxOOHOHDigryEtx3JSLuS7vibNeuXTzxxBOUlpZy7bXXapiCiIiIJBSZCj97164Tw/kGu3feIZSZqYJVxKPSrjirrKxkzpw5jB8/Xk9yFxERkaQixVnWF7/oTIQhALTfdReZmjhNxJPSrjgLBAI0NDS4nYaIiIh4XFdXF0NCIbKnTYP5891OxzPa332XTI08EvGktCvORERERPqjYeJEGiZNgvvug/ADlgUqw7eHiIj3qDgTERERf2prg+5uKChwOxNPue6669xOQUSSUHEmIiLiE6+//jq//e1v45bfdNNN5OXlsWnTJl577bW4+K233kpmZibr1q3jj3/8Y0wsEAhwxx13ALB69WreeeedmHhWVha33HILACtXruTdd9+Niefn57No0SIAnnnmGZqammLixcXFLFiwAIBf/vKX7N69OyZeXl7O3LlzAVi+fDn79++PiVdVVXH11VcDsHTpUlpaWnpizc3N/NUXvsAX8/PjtllExItUnImIiPhEQUEBo0aNiluekeE81rSwsDBhPPKc0OLi4oTxiJKSkrj4kCEnTiXOOOMMjh07FhPPycnp+XdZWRldvaZwz48qnMrKyggGgzHxoqKinn+Xl5eT22sii+jheRUVFQwbNqzn51GFhQz/zW/UcxblyJEjPPbYY8yYMYP6+nq30xGRXlSciYiI+ERtbS21tbVJ4/X19X2ekE+YMIEJEyYkjTc0NPQ5Kdf555/fZ36NjY19xqdPn95nfMaMGX3GZ82aFbtgyxZ47TVQz1mP48ePc/DgQTo6OtxORUQSyHA7AREREZHTorXV+Vs9Zz0iD+bW44hEvEk9ZyIiIuJPra10BoMcy8oiKxQiMzOTrq4ujh49GrdqVlYWmZmZdHZ2xg3NBMjOzmbIkCFJ4zk5OQSDQTo6Onqer/Zp4rm5uWRkZBAKhXoKqE8Tz8vLIxAI0N7eTigUSho/fPhwz/aKiPeoOBMRERF/OnyYJTfeyJ5XXmFWZiYXXHABBw4c4NFHH41bdc6cOTQ0NLBnzx6WLFkSF//Sl77E2WefTVNTE8uWLYuLz58/n3HjxrF161Z+8YtfxMUXLlxIdXU1b7/9NitWrIiLf/WrX6WiooI//OEPvPDCC3HxO+64g5KSEjZv3syaNWvi4l/72tcYOnQoGzduZMOGDXHxxYsXk5mZ2TMhTPS9gCLiHSrORERExJ9aWzlYUkLNiBHU1NQAzgQkl156adyqkYlOioqKEsZHjBgBOJOeJIqXlZUBzqQlieIlJSUAjBw5MmG8IDz0cvTo0QnjeXl5AIwdOzZhr1dkWW1tbcwkKxGRiVYaGxupr6+nsrIybh0RcZ+KMxEREfGl7tZW2rOyGFVVRUVFBeAMD+xr4pL8/Pw+44WFhX3Gi4uL+4yXlpb2+QDo8vJyysvLk8ZHjBjRUygmUlVVRVVVVdJ4dXU11dXVSeMi4q6TKs6MMYXAE8AwIAu4x1q7yRhzAfAI0AGsstZ+K2WZioiIeJzaR2/paG2lOyODLM3WKCJp4mR7zu4B1lhrv2+MMcC/Aw3Aj4BrgPeA3xhjGqy1b6QmVREREc9zt308dgwSTDYxWHUfPMjEHTuouPZat1MREemXky3OvgdEvv2HAMeMMcOAbGvtNgBjzEvADEDFmYiIDBbutY8ffQRjx56YPl7IAq6oqICzznI7FRGRfvnE4swYcyNwd6/FX7HWvmaMqcAZvnEXzhCOQ1HrtAJjUpWoiIiIl3iufSwpgUcfdYo0AaC7u5vAxIlupyEi0m+fWJxZa5cAcXPKGmPGA08CX7PWrgtfGYx+ymMB8HGqEhUREfESz7WPwSBcd13KXzad7dyxg8cff5z51dWMHTvW7XRERD5Rxsn8J2NMPfA0MN9auxLAWnsIaDfGjDXGBIBZQPyDNkRERHxK7aO3hEIhurq6yMzMdDsVEZF+Odl7zv4RyAEece53psVaewVwC/BzIIgzG9XmlGQpIiKSHtQ+ekh7eztAwueCiYh40UkVZ+GGJtHy3wEXnFJGIiIiaUrto7eoOBORdHNSwxpFREREvE7FmYikGxVnIiIi4ktlZWVMnjyZ7Oxst1MREemXk73nTERERMTTqqurqa6udjsNEZF+U3EmIiLiEy0tLTQ3N8ctHzVqFMFgkObmZlpaWuLio0ePJiMjg4MHD3Lo0KG4eE1NDQD79+/n8OHDMbGMjAxGjx4NwL59+2hra4uJB4NBRo0aBcDevXs5evRoTDwzM5ORI0cCsGfPHo4fPx4Tz8rKorKyEoDdu3f3DFWMyMnJoaKiAoCdO3fS0dHRE+vo6KCmpoYhQ3S6IyLpQd9WIiIiPvHWW2+xevXquOX33nsv+fn5bNmyhQ0b4mfxX7x4MRkZGfz+979n8+bYiSQDgQAPPPAAAK+++ipbtmyJiWdnZ/P1r38dgPXr1/P222/HxAsKCrjnnnsAWL16NVu3bo2Jl5aWcvvttwPw4osv8sEHH8TEKysrufnmmwF49tln2bt3b0z8zDPP5Prrrwfg17/+dVxxWlRUxJ133hm3zSIiXqTiTERExCfOOeecnl6oaLm5uQCcd955jBkzJi4eDAYBOP/886mrq0v6+o2NjUyYMCFmWUbGidvXp02bxqRJkxK+NsAll1zClClTYuLRzyCbPXt2wp6ziMsvvzxhz1nE1VdfHdNzBlBcXJx0e0REvEbFmYiIiE8UFhZSWFiYNF5cXNxnsVJSUkJJSUnSeGlpKaWlpUnjw4cP7zO/8vLyPuMjRozoMx4Z3phMVVVVn3EREa/TbI0iIiIiIiIeoOJMRERERETEA1SciYiIiIiIeICKMxEREREREQ9Iy+IsEAj0e7kX1vX7+ym39Hg/5XZC9Oxy0YqKiuKWRc8EFy3Zc5MSvV/kGVH9ee1k61588cUJlyda/8EHH0y47qeRaF+IfBrJficHM+2TeNoniWm/xBss+yQtizMRkVPR3d2dcHmih/P2ntY7orOzs9/v19TUlHB5otdOtu66dev6/drf+ta3+p1bMon2hYiIiJxeKs5EREREREQ8QMWZiIiIiIiIB6g4ExERERER8QAVZyIiIiIiIh6g4kxEBp1kMz4VFhbGLcvOzk64bjAY7Pf7VVdXJ1ye6LWTrTt9+vR+v/Y3v/nNfueWTKJ9ISIiIqdX4rmg+8kYUwdsBsqttceMMRcAjwAdwCpr7alPGZZAspnWEi33wrp+fz/llh7vp9xO6OrqSrjuxx9/HLfs2LFjCdft6Ojo9/u9//77CddN9NrJ1l27dm3C5YnWT8VU+on2hfSfW+2jlyT7nRzMtE/iaZ8kpv0Sb7Dsk5PuOTPGDAMeAqLngv4RMB+YCvy1Mabh1NITERFJL2ofRUTkZJ1UcWaMCQA/ARYDbeFlw4Bsa+02a2038BIwI1WJioiIeJ3aRxERORWfOKzRGHMjcHevxU3Ak9baPxpjIsuGAYei1mkFxqQiSREREa9R+ygiIqn2icWZtXYJsCR6mTFmK3BjuGGqAFYBXwQKolYrAHTTgoiI+JLaRxERSbWTmhDEWntW5N/GmPeBz4dveG43xowF3gNmAb1veA4CfPjhhyeVrIiIpIeo7/n+T2vpA2ofRUTkk/TVRp7SbI0J3AL8PPxGq6y1m3vFRwBce+21KX5bERHxqBHANreT8AC1jyIi0ltcGxkYyGkpjTHZwGRgD9A5YG8sIiIDLYjT6LxmrT3+SSsPdmofRUQGlaRt5IAWZyIiIiIiIpLYST/nTERERERERFIn1fecucoYkwk8BtQA2cDfA+8AjwPdwFvA7dbaLpdSPCXGmCDwU8DgDHv5ChDAJ9sHYIwZDrwOzAQ68Ne2bQFawj9uB34MPIKznaustb0nCEgrxphvAJcDWcCjwDp8cvyMMQuBheEfc4CJwMX45PiFvzuX4nx3dgI347PfPzn9jDEPAh9aa38Utex3wDzgA+D/AuOBLqAduNNa+54LqZ52xpiLgVustfOilv0T8N84v1M34PyuBYDvWmtXuZHnQDPGXAncibPducA/W2t/2cf67wN1OA9xf9Ja++IApDlgjDFnA98F8oB84AXgwfDzEHuv+zjwJM4ssHXW2q8PYKoDbjB/VvzWc3YdcMBaexFwKfAvwMPAfeFlAeAKF/M7VXMArLVTgAdwts032xc+QfwxcDS8yE/blgNgrb04/OcrOF8g84GpwF8bYxrczPFUhE9EGoEpwHRgFD46ftbaxyPHDufiwf/GR8cPuAwYYq1tBL4N/AM+On5yehljMo0x1wBn9bHabKDSWjvTWjsL5xEE3xuQBL2lELgfmG2tnQlcDzxmjPHb+ViPyOfDGDMN57mAc8LfpZcB/2iMqXc1QZcYY4pwiq27rLWfBS7AuXjxVVcTG2DGmBnGmMZeyxoZxJ8VX/WcAU8D0VV1B/BXOFfwAVYCnwf+Y4DzSglr7QpjzPPhH6uBvcAX8Mn24VxV/RHwjfDPvjl2wLlAnjFmFc7v3YNAtrV2G4Ax5iVgBvCGaxmemlnAn3COzzDgb3F6X/xy/AAwxkwCzsb5jN7to+P3F2BI+ARxGBDCOVHw1fGT1Ao/GuAmnF7klcD+PlbfAUwyxswF1gDP4PQSDDaHcdqAW40xz1trtxljxvqxVzrB5+NM4PvW2sMA1toDxpjzgY/DhcoTON8/Q3AuDL3iSuID5wrgFWvtuwDW2k5jzPVAuzHmIZwLfwDLrbWPuJXkANgB3G2M+S7wFLAM5/xh0H5WfHWlxlp72FrbaowpwCnS7gMCUd3DrThXrdKWtbbDGLMU+H842+iL7QsPG/vIWvtS1GJfbFtYG07xOQtnSu2fhZdFpPv2lQKTgL/hxJThGT46fhGLcZ5PNQw4FLU83bfvMM6Qxv/GGTr9A/z1+ycpZoy5DVgLbAAarbXfxnmw9j3GmLWRP0A9gLX2TzgnXFcCbwP/BVzoQuoD6XO99sV8nKGMlwDjgBeNMU3AIhdzPC2SfD4qcZ7z18Na2xz+nrkPeNlaOw2nHVni597EsET74zDOhbAzcS6QTQXmG2PGD3x6A8Na+xdr7a04t7MEcPZJFYP4s+KrjQEwxowC/hNYZq1djjO2PaIAp/FIa9baG4BanJOo3KhQOm/fImBmuAGbCPwbMDwqns7bBk7PxBPW2m5r7V9w7j0riYqn+/YdAF6y1rZbay1wjNiT+XTfvsgQlDpr7X/iFGYFUeF03767cY5fLU4v71Kcewcj0n37JPV+AXwf54LFPxtj6sLLH44avn0xzn3fGGMmANZa+z9w7pn5BvCUMSYw8KkPmFd67YvlOCfkudba/2WtHYdzQvq3Pjz5TvT5aMIZ8t7DGDPFGHMW8BlgPYC1dhfOd2zZgGY88BLtjzNxRg1tCJ8vhIDfEb7I4UfGmED41oif4tySdBtOb9qg/az4qjgzxpQDq4D/Y619LLx4S/igg3PQN7iRWyoYYxaEJ10Ap9elC/gvP2yftXaatXZ6uAH7A844/JV+2LawRcBDAMaYSpybf48YY8aGT05mkd7btxGYHf6SrQSGAmt8dPwApgGrAay1h3CGnvjl+DVzYrKag0AmPvrulNSz1h6w1j5krZ0KPI9zH/SkPv7LJTj3jATDV7/fBo4kmvjA544BPzfGFId/bsIZDtruXkqpl+TzsQynEB0KPROA/QynPfwzcFF4+UigGOein589j9NujoWe++4fxvk+nhq1rBF4160kB8DNOHMq/J21dra19t9xCrVB+1nx2z1ni3EO0v3GmPvDy+4EfmCMycI5oElnekkDvwZ+ZoxZj3PydBfONv3UJ9vX2734Z9uWAI8bYzbizNS1CKe4/jnOgwhXWWs3u5jfKbHWPh++2fv3OBd9bseZkdIvxw+cWVKjh1lEhm+m/fHDmZjhMWPMBpwes8U4w878dPzkNLHWrgXWhmdrTOYHOEO7txhjDuF8/y04/dl5zkGcffGKMaYN5zzsX8MjDnwp8vkAMMb8BHjZGBPCGfnzDWvtm8aY7+B8B30pvPx/hm/jcCnr089ae8gYcwPO92wGzgiF53BuWxltjNmE8338lLX2Db/uC2vtTxIs2zSYPyt6CLWIiIiIiIgH+GpYo4iIiIiISLpScSYiIiIiIuIBKs5EREREREQ8QMWZiIiIiIiIB6g4ExERERER8QAVZyIiIiIiIh6g4kxERERERMQDVJyJiIiIiIh4wP8HsgGJkHE37NYAAAAASUVORK5CYII=\n", "text/plain": [ "<Figure size 1080x288 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1080x288 with 3 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_GAM_model(gam_no_year, X[['age', 'education']])\n", "plot_GAM_model(gam_linear_year, X)\n", "plot_GAM_model(gam_splines_year, X)" ] }, { "cell_type": "code", "execution_count": 233, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "48290.3854781\n", "48267.7934447\n", "48273.2244633\n" ] } ], "source": [ "for model in [gam_no_year, gam_linear_year, gam_splines_year]:\n", " print(model.statistics_['AIC'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### The best model is the one with the lowest AIC, in this case the model with a linear year\n", "#### This happens both with or without penalization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### It's not possible to use Local regression with pyGAM" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.5" } }, "nbformat": 4, "nbformat_minor": 2 }