{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "

PPOL564 | Data Science 1 | Foundations

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Interpretable Machine Learning Walkthrough

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Overview\n", "\n", "The aim is to extract insights from using a statistical learning model to better understand who does and does not have healthcare coverage. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Dependencies " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Data Management/Investigation\n", "import pandas as pd\n", "from pandas.api.types import CategoricalDtype # Ordering categories\n", "import numpy as np\n", "import missingno as miss\n", "\n", "# Plotting libraries\n", "from plotnine import *\n", "import matplotlib.pyplot as plt\n", "\n", "# For pre-processing data \n", "from sklearn import preprocessing as pp \n", "from sklearn.compose import ColumnTransformer \n", "\n", "# For splits and CV\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.model_selection import KFold # Cross validation \n", "from sklearn.model_selection import cross_validate # Cross validation \n", "from sklearn.model_selection import GridSearchCV # Cross validation + param. tuning.\n", "\n", "# Machine learning methods \n", "from sklearn.naive_bayes import GaussianNB as NB\n", "from sklearn.neighbors import KNeighborsClassifier as KNN\n", "from sklearn.tree import DecisionTreeClassifier as DT\n", "from sklearn.tree import DecisionTreeRegressor as DT_reg\n", "from sklearn.ensemble import RandomForestClassifier as RF\n", "from sklearn import tree # For plotting the decision tree rules\n", "\n", "# For evaluating our model's performance\n", "import sklearn.metrics as m\n", "\n", "# Pipeline to combine modeling elements\n", "from sklearn.pipeline import Pipeline\n", "\n", "# For model interpretation\n", "from sklearn.inspection import (\n", " permutation_importance,\n", " partial_dependence, \n", " PartialDependenceDisplay, \n", " plot_partial_dependence\n", ")\n", "\n", "# Misc\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Data " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following data contains information regarding whether or not someone has health coverage (`coverage`). The available predictive features capture socio-economic and descriptive factors.\n", "\n", "> _Note_: We'll only take a subset of this data so that the models will run faster, but feel free to explore on the entire data set." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "dat = pd.read_csv(\"health-coverage.csv\").sample(n=5000,random_state=123)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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coverageagewagecitmareducrace
2431No_Coverage2912000CitizenNever MarriedHS DegreeWhite
611No_Coverage56120000CitizenDivorcedHS DegreeWhite
1779No_Coverage2818200CitizenDivorcedHS DegreeWhite
15518Coverage290CitizenNever MarriedHS DegreeBlack
10878No_Coverage510CitizenWidowedHS DegreeWhite
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" ], "text/plain": [ " coverage age wage cit mar educ race\n", "2431 No_Coverage 29 12000 Citizen Never Married HS Degree White\n", "611 No_Coverage 56 120000 Citizen Divorced HS Degree White\n", "1779 No_Coverage 28 18200 Citizen Divorced HS Degree White\n", "15518 Coverage 29 0 Citizen Never Married HS Degree Black\n", "10878 No_Coverage 51 0 Citizen Widowed HS Degree White" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "coverage object\n", "age int64\n", "wage int64\n", "cit object\n", "mar object\n", "educ object\n", "race object\n", "dtype: object" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat.dtypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Convert categorical variables to categories." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "for col in ['cit', 'mar', 'educ', 'race']:\n", " dat[col] = dat[col].astype('category')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Missingness?" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "miss.matrix(dat) # None" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Split" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "y = dat[['coverage']]\n", "X = dat.drop(columns=['coverage'])\n", "train_X, test_X, train_y, test_y = train_test_split(X,y,test_size = .25,random_state=123)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.75\n", "0.25\n" ] } ], "source": [ "print(train_X.shape[0]/dat.shape[0])\n", "print(test_X.shape[0]/dat.shape[0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Explore Training Set" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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tH3/8sdasWaMjR47I7XbroYceUrdu3ULm/dJLL6miokJ9+vTRQw89pCuuuKL5Vg4AUC901QMA4DxJSUmaMGGCRo0addH2OXPm6MUXX9SLL74YUjSVlZXpySef1K233qpNmzZpyJAhWrRokaqrqyVJH330kTZt2qQnnnhCa9euVVRUlFavXt0s6wQAaBgKJwAAzjNw4ED1799fiYmJl/W53bt3KzU1VSNGjFBsbKzGjRsnwzC0d+9eSdKOHTs0cuRI9ejRQ/Hx8ZoyZYp2796t8vLyJlgLAEBjonACAOAyLVu2TJMnT9bcuXP1ySefBMcXFxeHdMuz2WxKT09XcXGxJMnj8YS0d+nSRTExMfrqq6+aL3gAQL1wjxMAAJfhZz/7mXr06CFJ2r59u3JycrRy5UolJyfL5/NdcL+Sy+WSz+eTJFVWVoZtP1dJSYlKSkqCw06nUykpKY29OpcUHR3dbMs6l81mi9iyz1UbgxViqWWV3Ejkxwz5Cc+K+akLCicAAC5Dr169gn/fdNNN+utf/6oPPvhAP/zhD+V0OlVRUREyfXl5uZxOpyQpLi7ugm55FRUVwfZz5eXlKScnJzg8f/58LViwoBHXJLwOHTo027LOZ7fbI7bs811ud82mZqXcSOTHDPkJz2r5MUPhBABAA0RFRckwDEmS2+3Wtm3bgm2GYaioqEg//OEPJUlpaWkqLCzUsGHDJEmHDx9WdXW1rrzyygvmO2PGDI0dOzY47HQ65fV6m3BNQjXnss7lcrkscc9XdHS0EhMTVVZWJr/fH+lwJFknNxL5MUN+wrNafup6oojCCQCA8/j9fvn9fgUCAQUCAVVVVSkqKkper1elpaW6+uqrJdU87OHzzz/XT37yE0nSgAEDtHbtWv3lL39RZmamXnnlFUlSRkaGJGnEiBFaunSphgwZoi5dumjDhg0aMGCAXC7XBTGkpqYqNTU1OHz8+PFmPcCI1MGMYRiWOJCqVfu/YAVWy41EfsyQn/CslJ+6oHACAOA8L7zwgvLz84PDBQUFGjFihG699VY988wzKikpUUxMjLp27aonnngiWOAkJiZq7ty5ysvLU25urtxut+bNm6fY2FhJUp8+fXTnnXdq4cKFqqioUEZGBi8wB4AWgsLJotiRAkDkZGVlKSsr66Jty5cvD/vZ3r17a9WqVZdsv/nmm3XzzTc3KD4AQPOjcEKbRGEKAACAy0Hh1Aw4SAcAAABaNgonNKn6FI0rVqxogkgAAACA+ouKdAAAAAAAYHVcccJlodshAAAA2iKuOAEAAACACa44AU3kcq/OcW8XAACAdXHFCQAAAABMUDgBAAAAgAkKJwAAAAAwEfF7nKqrq7VmzRr9/e9/16lTp9SxY0dNmDBBQ4cOlSR5PB6tXLlSRUVF6ty5s+677z5df/31wc8XFBRo3bp1OnHihK699lplZ2crOTk5UqsDAAAAoBWK+BUnv9+vpKQkLVq0SPn5+XrwwQf19NNP69NPP9XZs2e1cOFC9evXT5s2bdLEiRO1ePFinTx5UpL05Zdfavny5br//vu1YcMGpaena8mSJZFdIQAAAACtTsQLp7i4OE2aNEkpKSmy2Wzq1auXrrvuOh04cED79u3TmTNnNH78eMXGxmrw4MFyu90qKCiQJO3cuVN9+/ZVnz595HA4lJWVpcLCQhUXF0d4rQAAAAC0JhEvnM5XWVmpL774QmlpaSouLlZ6erqiov4dZvfu3eXxeCTVdOPr1q1bsC0+Pl4pKSnBdgAAAABoDBG/x+lcgUBAy5YtU8+ePdWnTx8dPHhQLpcrZBqXy6XS0lJJNUXWxdp9Pl/IuJKSEpWUlASHHQ6HunTpEjYWm82m6OjohqwO6un8vLeVbXG5732SpNzc3CaI5NJa+raojb0lr0Otlr4tAABoaSxTOBmGodWrV+vEiRPKycmRzWaT0+lUeXl5yHTl5eVyOp2Sarr5VVRUhLRXVFQE22vl5eUpJycnODx37lw9+eSTpjHZ7fb6rg4aoEOHDheMY1tc3MVy1dRaw7ZITEyMdAiNojVsCwAAWgpLFE6GYWjNmjUqLCzUwoULg4WP2+3W5s2bFQgEgt31CgsLNWTIEElSWlqaDh06FJyPz+fTkSNHlJaWFjL/GTNmaOzYscFhh8Mhr9cbNiaXy3VB0Ybmcf62YVtcmtn/cWNr6dsiOjpaiYmJKisrk9/vj3Q4DWLlbRGJgh4AgKZmicIpLy9Pn332mRYtWqT4+Pjg+N69e8tut+vll1/WuHHj9O6778rj8WjQoEGSpGHDhmnWrFnau3evevXqpY0bNyo9PV1utztk/qmpqUpNTQ0OHz9+3PSgyTCMFn9g1VKdn3e2xaU1d15ay7bw+/0tfj1ay7YAAKCliHjhVFpaqldeeUWxsbGaPn16cPz48eM1YcIEzZs3T6tWrVJ+fr6Sk5M1Z84ctW/fXpLUtWtXZWdnKzc3V16vV9dcc41mz54doTUBAAAA0FpFvHBKTk7Wn/70p0u2p6ena+nSpZdsz8zMVGZmZlOEBgAAAACSLFA4AQAAcy6XK+T1HE0tISGh2ZZ1rpiYmIgt+1w2m01STd4Nw4hwNDWskhuJ/JghP+FZMT91Ua/CacSIEVq9erWuvfbaC9oOHjyomTNnaseOHQ0ODqiL+jzGGwBamuZ+GMipU6eadXm1EhISIrbsc0VHR8tut6u8vNwy9xNaJTcS+TFDfsKzWn4cDkedpqvXqaudO3eqrKzsom1lZWV6++236zNbAAAAALCkel/zr73Edr533nlHycnJ9Q4IAAAAAKymzl31Fi9erMWLF0uqKZqGDx9+QV/rM2fO6OzZs3rggQcaN0oAAAAAiKA6F04DBw7UrFmzZBiG/ud//kd33nmnrrzyypBp7Ha7rrvuOo0ZM6bRAwVwocu9v2vFihVNFAkAAEDrVufCaejQoRo6dKikmitO9957r7p06dJkgQEAAACAVdTrqXrz589v7DgAAAAAwLLqVTgFAgE999xzeumll/TVV1+psrIypN1ms+kf//hHowQIAAAAAJFWr8Lpscce01NPPaWhQ4dq+PDhstvtjR0XAAAAAFhGvQqnDRs2KCcnR0888URjxwMAAAAAllOv9zhVVlZq4MCBjR0LAAAAAFhSvQqnSZMmacuWLY0dCwAAAABYUr266vXv31/z5s3T0aNH9f3vf1/t27e/YJpbb721obEBAAAAgCXUq3CaMmWKJMnj8eiFF164oN1ms8nv9zcsMgAAAACwiHoVToWFhY0dBxCUnZ0d6RAAAACAEPUqnNLS0ho7DgAAAACwrHoVTsXFxabTuN3u+swaAAAAACynXoVTenq6bDZb2Gm4xwkAAABAa1GvwukPf/jDBeO8Xq+2bdumPXv26Be/+EWDAwMAAAAAq6hX4TRu3LiLjr/rrrv0s5/9TG+99ZbuuOOOBgUGoPHV58EbK1asaIJIAAAAWpZ6FU7h3HTTTZowYYJWr17d2LMGAKBZbN26VTt27FBRUZEGDBigRx99NNjm8Xi0cuVKFRUVqXPnzrrvvvt0/fXXB9sLCgq0bt06nThxQtdee62ys7OVnJwcbF+/fr1ee+01nT17VoMGDdLMmTMVGxvbrOsHALh8UY09w3feeUdxcXGNPVsAAJpNUlKSJkyYoFGjRoWMP3v2rBYuXKh+/fpp06ZNmjhxohYvXqyTJ09Kkr788kstX75c999/vzZs2KD09HQtWbIk+PnXX39db731lpYuXapnnnlGX331lTZs2NCcqwYAqKd6XXG6WHefqqoqHThwQLt27dJ//dd/NTgwAAAiZeDAgZKkQ4cO6dSpU8Hx+/bt05kzZzR+/HhFRUVp8ODB2rJliwoKCjR69Gjt3LlTffv2VZ8+fSRJWVlZmjJlioqLi+V2u/Xmm29q3LhxSklJkSRNnDhRv/71r3XXXXc1+zoCAC5PvQqnLVu2XDAuLi5OV155pVavXq177rmnwYEBAGA1xcXFSk9PV1TUvztsdO/eXR6PR1JNN76ePXsG2+Lj45WSkiKPxyO3263i4mJ179495LNff/21vF6vOnToELKskpISlZSUBIedTmew4GoO0dHRzbasc9lstogt+1y1MVghllpWyY1EfsyQn/CsmJ+6qFfhVFhY2NhxAABgeT6fTy6XK2Scy+VSaWmpJKmysvKi7T6f76LttX/7fL4LCqe8vDzl5OQEh+fPn68FCxY02rqYOT+e5mS32yO27PMlJiZGOoQQVsqNRH7MkJ/wrJYfM43+cAgAAForp9Op8vLykHHl5eVyOp2SanpfVFRUhLRXVFSEtJ/7+dppa9vPNWPGDI0dOzZk2V6vt3FWpA6ac1nncrlcF+Q4EqKjo5WYmKiysjLLvJvSKrmRyI8Z8hOe1fJT1xNF9S6cPvroI/3v//6vdu3apRMnTigpKUmDBw/W3LlzlZGRUd/ZAgBgWW63W5s3b1YgEAh21yssLNSQIUMkSWlpaTp06FBwep/PpyNHjigtLS34+cLCQvXq1UtSzT1U7dq1u+hOOzU1VampqcHh48ePN+sBRqQOZgzDsMSBVC2/32+ZeKyWG4n8mCE/4VkpP3VRr8Lpr3/9q77//e8rJSVFd955pzp37qyjR4/qD3/4gwYMGKA33nhDmZmZjR1ro7Hb7XI4HGGniYmJUUJCQjNFBFjXud+Dlv69sNlskmrOuhmGEeFoGqalbwurq92ZBwIBBQIBVVVVKSoqSr1795bdbtfLL7+scePG6d1335XH49GgQYMkScOGDdOsWbO0d+9e9erVSxs3blR6errcbrckaeTIkdq8ebO++93vyuVyKT8/XyNHjozkqgIA6qhehdPjjz+uYcOGaevWrYqJ+fcsfvWrX2n06NF6/PHHtWvXrkYLsrFVVVWpqqoq7DQJCQkhT1IC2qpzvwct/XsRHR0tu92u8vLyFnWG62KsvC3MTky1BC+88ILy8/ODwwUFBRoxYoQeeeQRzZs3T6tWrVJ+fr6Sk5M1Z84ctW/fXpLUtWtXZWdnKzc3V16vV9dcc41mz54dnM+oUaN07NgxzZo1S36/XwMHDtSkSZOae/UAAPVQr8Lpo48+0ksvvRRSNEk1ByXZ2dkaP358owQHIPIu9vqBcFasWNFEkQDNJysrS1lZWRdtS09P19KlSy/52czMzEv2urDZbJo8ebImT57cKHECAJpPvV6Ae+4ThM539OjRC54oBAAAAAAtWb0KpzFjxuixxx7Tm2++GTL+zTff1Jw5c0KeAgQAAAAALV29uuo99dRT2r9/v/7zP/9TiYmJSk5OVmlpqcrKyvQf//EfYbswAAAAAEBLU6/CqUOHDtq9e7e2bt2qXbt2yev1KikpSZmZmRo9enTIG9UBAAAAoKWrV+G0fft2FRcX68c//vEF3fLWrl2rtLQ0DR8+vFECBAAAAIBIq9eloXnz5uno0aMXbTt27JjmzZvXoKAAAAAAwErqVTjt379fN9xww0Xb+vbtq/379zcoKAAAAACwknoVTjabTV9//fVF27xeb4t/sSQAAAAAnKtehdONN96o3NxcGYYRMt4wDK1evVo33nhjowQHAAAAAFZQr4dD5OTkaPjw4frOd76ju+66S6mpqTp8+LB+97vf6eDBg9q5c2cjhwkAAAAAkVOvwmnAgAHavn27Zs+erccee0yBQEBRUVHB8f3792/sOAEAAAAgYupVOEnSoEGDVFBQIJ/PJ6/Xq/bt2ys+Pr4xYwMAAAAAS6h34VTL6XTK6XQ2RiwAAAAAYEn1ejgEAAAAALQlDb7iBADnys7OvuzPrFixogkiAQAAaDxccQIAAAAAExROAAAAAGCCwgkAAAAATFA4AQAAAIAJCicAAAAAMMFT9QAAaAFcLpeioprvfOflPiHzt7/9baMsNyYmRgkJCY0yr4aw2WySavJuGEaEo6lhldxI5McM+QnPivmpCwonAABagPLy8kiHENapU6caZT4JCQmNNq+GiI6Olt1uV3l5ufx+f6TDkWSd3Ejkxwz5Cc9q+XE4HHWajq56AAAAAGCCwgkAAAAATFA4AQAAAICJiN/jtHXrVu3YsUNFRUUaMGCAHn300WCbx+PRypUrVVRUpM6dO+u+++7T9ddfH2wvKCjQunXrdOLECV177bXKzs5WcnJyJFYDAAAAQCsW8StOSUlJmjBhgkaNGhUy/uzZs1q4cKH69eunTZs2aeLEiVq8eLFOnjwpSfryyy+1fPly3X///dqwYYPS09O1ZMmSCKwBAAAAgNYu4oXTwIED1b9/fyUmJoaM37dvn86cOaPx48crNjZWgwcPltvtVkFBgSRp586d6tu3r/r06SOHw6GsrCwVFhaquLg4EqsBAAAAoBWLeOF0KcXFxUpPTw95Z0X37t3l8Xgk1XTj69atW7AtPj5eKSkpwXYAAAAAaCwRv8fpUnw+n1wuV8g4l8ul0tJSSVJlZeVF230+3wXzKikpUUlJSXDY4XCoS5cuYZdvs9kUHR1d3/ABXIbm+q7VLqc1fLf5jQIAoHlZtnByOp0XvOyvvLxcTqdTkhQXF6eKioqQ9oqKimD7ufLy8pSTkxMcnjt3rp588knTGOx2e31CB3CZOnTo0KzLO79rcEvFbxQAAM3HsoWT2+3W5s2bFQgEgt31CgsLNWTIEElSWlqaDh06FJze5/PpyJEjSktLu2BeM2bM0NixY4PDDodDXq837PJdLpfl39IOtBZm38fGEh0drcTERJWVlVniTeUNYeXfqOYuhAEAaA4RL5z8fr/8fr8CgYACgYCqqqoUFRWl3r17y2636+WXX9a4ceP07rvvyuPxaNCgQZKkYcOGadasWdq7d6969eqljRs3Kj09XW63+4JlpKamKjU1NTh8/Phx04MmwzBa/IEV0FI093et9nenJeM3CgCA5hXxwumFF15Qfn5+cLigoEAjRozQI488onnz5mnVqlXKz89XcnKy5syZo/bt20uSunbtquzsbOXm5srr9eqaa67R7NmzI7QWAAAAAFqziBdOWVlZysrKumhbenq6li5desnPZmZmKjMzs6lCAwAAAABJFn4cOQAAAABYRcSvOLVE2dnZkQ4BAAAAQDPiihMAAAAAmOCKE4CIu9yruCtWrGiiSAAAAC6OK04AAAAAYIIrTgAAXKZly5bp7bffVkzMv3ejubm56tSpkyTp2LFjWrlypQ4cOKB27dpp6tSpwRe4S9LHH3+sNWvW6MiRI3K73XrooYfUrVu3Zl8PAEDdUTgBAFAP48aN07Rp0y7atnTpUqWnp+vnP/+5Dh48qEWLFiktLU1paWkqKyvTk08+qXvvvVeDBw/Wn//8Zy1atEhr1qxRbGxsM68FAKCu6KoHAEAjOnz4sA4ePKgpU6bI4XCod+/e6tevn3bs2CFJ2r17t1JTUzVixAjFxsZq3LhxMgxDe/fujWzgAICwKJwAAKiHbdu2KSsrS9nZ2XrjjTeC4z0ejzp16qQrrrgiOK5bt27yeDySpOLi4pBueTabTenp6SouLm6+4AEAl42uegAAXKYxY8Zo+vTpcrlc2r9/v375y1/K5XJp4MCBqqysDCmaJMnlcsnn80mSfD5f2PZaJSUlKikpCQ47nU6lpKQ00Ro1XHR0dKPMx2azNdq8GqI2BivEUssquZHIjxnyE54V81MXFE4AAFymHj16BP/+zne+o9GjR6ugoEADBw5UXFycysvLQ6avqKiQ0+mUVFMAVVRUhLSXl5cH22vl5eUpJycnODx//nwtWLCgkdek8XTo0KHR5mW32xttXg2VmJgY6RBCWCk3EvkxQ37Cs1p+zFA4AQDQQDabTYZhSJLS0tJ07NgxnT59Onhl6dChQ0pLS5Mkud1ubdu2LfhZwzBUVFSkH/7whyHznDFjhsaOHRscdjqd8nq9Tb0q9dZYsblcrgsKz0iIjo5WYmKiysrK5Pf7Ix2OJOvkRiI/ZshPeFbLT11P/FA4AQBwmXbt2qW+ffsqLi5On376qf785z/rvvvukyR16dJFV111ldavX68f//jH+vzzz/Xee+9pyZIlkqQBAwZo7dq1+stf/qLMzEy98sorkqSMjIyQZaSmpio1NTU4fPz4cUscYFxKY8VmGIal1tPv91smHqvlRiI/ZshPeFbKT11QOAEAcJm2bt2q3NxcBQIBdezYUZMnTw55T9Ojjz6qFStWaNKkSWrfvr0eeOCB4BWnxMREzZ07V3l5ecrNzZXb7da8efN4FDkAWByFEwAAl+kXv/hF2PZOnTpp4cKFl2zv3bu3Vq1a1dhhAQCaEI8jBwAAAAATFE4AAAAAYIKuegBanOzs7Mv+zIoVK5ogEgAA0FZwxQkAAAAATFA4AQAAAIAJCicAAAAAMME9TgAAoMG49xBAa8cVJwAAAAAwQeEEAAAAACboqgegTbjcbkR0IQIAAOfiihMAAAAAmKBwAgAAAAATFE4AAAAAYKJN3uNkt9vlcDjCThMTE6OEhIRmigiA1Vj9+89vFAAAzatNFk5VVVWqqqoKO01CQoJOnTrVTBEBsBqrf/+t/BtldmIKAICWiK56AAAAAGCCwgkAAAAATLTJrnoAYOZy3/sk8e4nAABaM644AQAAAIAJCicAAAAAMEFXPQAAWgCXy6WoqNZ1vvNij9S3yqP2bTabpJq8G4YR4WhqWCU3EvkxQ37Cs2J+6oLCCQCAFqC8vDzSITS6iz1S3yqP2o+Ojpbdbld5ebn8fn+kw5FkndxI5McM+QnPavmp62s0WtepKwAAAABoAlxxAgAAEcHTKwG0JFxxAgAAAAATXHECgEZSn7Pnl+tyz7ZzRh8AgMbBFScAAAAAMEHhBAAAAAAmKJwAAAAAwASFEwAAAACYoHACAAAAABMUTgAAAABggsIJAAAAAExQOAEAAACACV6ACwAAWozLfakzL3QG0Fi44gQAAAAAJiicAAAAAMAEhRMAAAAAmKBwAgAAAAATPBwCAAC0Wpf7MAmJB0oAuDiuOAEAAACAiRZ/xen06dPKzc3Vhx9+KKfTqVtuuUXjxo2LdFgAAFwS+y5r45HnAC6mxRdOeXl5qq6u1m9/+1uVlpbqiSee0JVXXqnvfve7kQ4NAICLYt/VutAdEGgbWnThVFlZqYKCAv3mN79RfHy80tPTNWrUKL3xxhvsfAAAlsS+C/VBcQZEXosunP75z3/KMAylpaUFx3Xr1k27d++OYFQA0HTqc/AEa2HfheZCl0O0VFY9UdCiC6fKykrFx8eHjHO5XPL5fCHjSkpKVFJSEhx2OBzq0qVL2HnbbDZFR0c3XrAA0ELw29e06rvvcjqdSklJaZYY0fSseBKkOWLKzc1tsnlb6ditNg6rxCO1/vw0x7q16MIpLi7ugh1NRUWFnE5nyLi8vDzl5OQEh+fOnasnn3zSdP52u/2i4zdu3FiPaAEAqP++a/78+VqwYEG9lsl+C23FpY7dIiUxMTHSIYRoKfmx6m9Wiy6cvvnNb0qSiouL5Xa7JUmFhYXBv2vNmDFDY8eODQ47HA55vd6w83a5XCovL2/kiJtPdHS0EhMTVVZWJr/fH+lwGoRtYR1sC+uw8rbo0KFDpEOwtPruu5xOp+m+63JZ8Tthlf9tchMe+QmP/IRntfzUdb/VogunuLg4DRo0SM8//7x++tOf6tixY3r99df18MMPh0yXmpqq1NTU4PDx48dNN5JhGJbYkA3l9/tb/HqwLayDbWEdrWVbtEVNue+qLyt9J6z2v01uwiM/4ZGf8KyUn7po0YWTVHNGbtWqVbrrrrvkdDp122238VQiAIClse8CgJanxRdOV1xxhR5//PFIhwEAQJ2x7wKAlicq0gEAAAAAgNVROAEAAACACQonAAAAADBB4QQAAAAAJiicAAAAAMCEzTAMI9JBoPGVlJQoLy9PM2bMCHkPCJof28I62BZAKL4Tl0ZuwiM/4ZGf8Fpqfrji1EqVlJQoJydHJSUlkQ6lzWNbWAfbAgjFd+LSyE145Cc88hNeS80PhRMAAAAAmKBwAgAAAAATFE6tVGpqqubPn9+i+o22VmwL62BbAKH4TlwauQmP/IRHfsJrqfnh4RAAAAAAYIIrTgAAAABggsIJAAAAAExQOAEAAACAiZhIB4CGqa6u1po1a/T3v/9dp06dUseOHTVhwgQNHTpUknTPPffo5MmTioqqqZE7deqk3NzcSIbcai1btkxvv/22YmL+/bXKzc1Vp06dJEnHjh3TypUrdeDAAbVr105Tp07VkCFDIhVuqzZhwoSQ4aqqKt1www2aN2+eJL4XgCSdPn1aubm5+vDDD+V0OnXLLbdo3LhxkQ6r3rZu3aodO3aoqKhIAwYM0KOPPhps83g8WrlypYqKitS5c2fdd999uv7664PtBQUFWrdunU6cOKFrr71W2dnZSk5ODravX79er732ms6ePatBgwZp5syZio2NlWSeR7NlNwezY4W2nh9JWrVqld5//335fD4lJCRo1KhRwX0J+alRVlam+++/X6mpqVq6dGmd4mt1uTHQovl8PmP9+vVGSUmJEQgEjP379xt33HGHceDAAcMwDOPuu+823n///QhH2Tb85je/MdauXXvJ9tmzZxurV682Kisrjf/7v/8zJkyYYBQVFTVjhG3T2bNnjWnTphk7duwIjuN7ARjG0qVLjYULFxrl5eVGYWGhMXny5Bb9vSgoKDB2795tPP3008aSJUuC46urq427777beOGFF4yqqirj7bffNu644w7D6/UahmEYxcXFxu233258+OGHRmVlpfHss88as2bNCn5+27Ztxj333GOUlJQYX3/9tTF79mzjt7/9bbA9XB7Nlt1cwh0rkJ8aHo/HqKysNAzDMEpLS40HHnjA+Otf/0p+zrFs2TLjscceC65fW8wNXfVauLi4OE2aNEkpKSmy2Wzq1auXrrvuOh04cCDSoeEchw8f1sGDBzVlyhQ5HA717t1b/fr1044dOyIdWqv34YcfqrKyUgMHDox0KIBlVFZWqqCgQFOmTFF8fLzS09M1atQovfHGG5EOrd4GDhyo/v37KzExMWT8vn37dObMGY0fP16xsbEaPHiw3G63CgoKJEk7d+5U37591adPHzkcDmVlZamwsFDFxcWSpDfffFPjxo1TSkqKEhMTNXHiRG3fvl2SeR7Nlt1cwh0rkJ8abrdbDocjOGyz2XT48GHy8/99/PHHOnz4sL73ve8Fx7XF3FA4tTKVlZX64osvlJaWFhy3bNkyTZ48WXPnztUnn3wSwehav23btikrK0vZ2dkhByAej0edOnXSFVdcERzXrVs3eTyeSITZpmzfvl2DBw8O2SFKfC/Qtv3zn/+UYRgh+4pu3boFD2hak+LiYqWnpwe75kpS9+7dg7+/Ho9H3bp1C7bFx8crJSUl2F5cXKzu3buHfPbrr7+W1+s1zaPZsiPl3GMF8vNv69at0+233667775blZWVGj58OPlRTVfPvLw8zZw5UzabLTi+LeaGe5xakUAgoGXLlqlnz57q06ePJOlnP/uZevToIanmADInJ0crV64M6V+KxjFmzBhNnz5dLpdL+/fv1y9/+Uu5XC4NHDhQlZWVIUWTJLlcLvl8vghF2zaUlZXpvffe0+LFi0PG871AW1dZWan4+PiQca31N8nn88nlcoWMc7lcKi0tlVSTi4u11+bi/Pbav30+n2kezZYdCecfKxw8eJD8/H/Tpk3T1KlT9cUXX2jPnj3BWNt6fjZv3qzrr79e3bp106FDh4Lj22JuuOLUShiGodWrV+vEiRN69NFHg2cEevXqJYfDIYfDoZtuukndu3fXBx98EOFoW6cePXooMTFR0dHR+s53vqPRo0cHLxnHxcWpvLw8ZPqKigo5nc5IhNpm7Ny5U6mpqbrmmmtCxvO9QFsXFxd3QZHUWn+TnE7nBb+/5eXlwXWNi4tTRUVFSPu5uTj/97t2WqfTaZpHs2U3t4sdK5CfUDabTT179lRsbKw2bdrU5vNz+PBhbd++XVlZWRe0tcXcUDi1AoZhaM2aNSosLNSCBQvC/tNERUXJMIxmjK7tstlswVynpaXp2LFjOn36dLD90KFDIZeg0fi2b98e0h/7UvheoK355je/KUkhXfMKCwvldrsjFVKTcbvd8ng8CgQCwXGFhYXB39+0tLQLzqIfOXIk2O52u1VYWBhsP3TokNq1a6cOHTqY5tFs2c3pUscK5OfiAoGASkpK2nx+Dhw4IK/Xq5kzZ2rq1Kl69tlndejQIU2dOlWdO3duc7mhcGoF8vLy9NlnnyknJyfksuaxY8e0f/9+VVdXq7q6Wtu2bdPnn38e7MaHxrVr1y5VVFQoEAjok08+0Z///Gf1799fktSlSxddddVVWr9+vc6cOaOPP/5Y7733nkaMGBHhqFuvf/zjHyouLtawYcNCxvO9AGrO9A4aNEjPP/+8Kioq5PF49Prrr+v73/9+pEOrN7/fr6qqKgUCAQUCAVVVVens2bPq3bu37Ha7Xn75ZVVXV2vXrl3yeDwaNGiQJGnYsGH68MMPtXfvXlVVVWnjxo1KT08PHqCNHDlSf/zjH3XkyBGdOnVK+fn5GjlypCTzPJotuzld6liB/NQ89vovf/lLyD781VdfVUZGRpvPT2Zmpp599lktX75cy5cvV1ZWltLS0rR8+XLdcMMNbS43NoPTrC1aaWmp7rnnHsXGxio6Ojo4fvz48erfv7+eeuoplZSUKCYmRl27dtXkyZPVu3fvCEbcej3++OPBsx8dO3bUmDFj9IMf/CDYfuzYMa1YsUIHDhxQ+/btNWXKlOA7NND48vLydPz4cf385z8PGV9cXMz3AlDNweKqVauC70i59dZbW/R7nDZu3Kj8/PyQcSNGjNAjjzyioqIirVq1SkVFRUpOTtaMGTNC3veya9curVu3Tl6vV9dcc40efvjh4D2PhmFow4YNevXVV+X3+zVw4EDdf//9Ie+aCZdHs2U3h3DHChMmTGjz+Tl9+rQWL16sQ4cOKRAIKCkpSd/73vd06623ymaztfn8nGv79u169dVXg+9xamu5oXACAAAAABN01QMAAAAAExROAAAAAGCCwgkAAAAATFA4AQAAAIAJCicAAAAAMEHhBAAAAAAmKJwAAAAAwASFEwAAAACYoHACALRoO3fulM1m0/vvvx/pUAAArRiFEwAAAACYoHACAAAAABMUTgCAiFi7dq1iYmJ09OjRkPEnTpyQ3W5XXl6edu/erbFjx6pLly5yuVzKyMjQ888/H3a+RUVFstlseumll0LGP/LII0pPTw8Z99VXX2ny5Mnq2LGjnE6nhgwZog8++KBR1g8A0LpQOAEAIuKWW25RTEyMfv/734eM37x5syTp9ttvl8fj0aBBg/Tcc89py5Ytuu2223T33Xdr3bp1DV6+1+tVZmam9u7dq5UrV2rz5s1yuVwaMWKESktLGzx/AEDrEhPpAAAAbVO7du100003adOmTfrJT34SHL9p0yaNGjVKSUlJmjhxYnC8YRgaMmSIvvrqK+Xl5WnatGkNWv6yZct08uRJvffee0pOTpYkjRw5UldffbWWLl2qJUuWNGj+AIDWhStOAICIufPOO7V7924VFxdLkkpKSvTWW2/pzjvvlFRzVSg7O1tpaWmKjY1VbGysnnnmGR08eLDBy3799dc1fPhwJSUl6ezZszp79qyio6M1dOhQ/e1vf2vw/AEArQtXnAAAEXPzzTfL5XIpPz9fs2fP1osvvqi4uDj96Ec/kiTdddddeuedd/Tf//3f+ta3vqXExEQ9/fTTeuGFFxq87OPHj2vPnj2KjY29oK1Hjx4Nnj8AoHWhcAIARIzT6dSPfvSjYOGUn5+vMWPGyOVyqbKyUlu3btWvf/1rPfTQQ8HPBAKBsPOMi4uTJFVVVYWM93q9IcNJSUn6wQ9+oIULF14wD4fDUd9VAgC0UhROAICIuvPOOzV69Ght27ZNe/bs0eOPPy5JOnPmjAKBgOx2e3DaU6dO6U9/+lPY+SUnJys2NlYHDhwIjquqqtJbb70VMt33vvc9rV+/Xtddd51cLlcjrhEAoDWyGYZhRDoIAEDbVV1drdTUVDkcDlVUVOjo0aPBYqlfv346evSonnrqKcXExOgXv/iFSktLVVpaqtOnT0uSdu7cqeHDh+tvf/ubbrjhBknSxIkTtW3bNi1btkwdO3bUqlWr9Mknn8hms6moqEiS9K9//Uvf/e531bFjRz388MNyu906duyY3n33XXXp0kU//elPI5IPAIA18XAIAEBExcbGavz48Tp8+LBuu+22kCtMGzdu1FVXXaVp06YpOztb48eP19SpU03nuXLlSg0bNkzZ2dmaMWOGfvCDH+iWW24JmeYb3/iG9uzZo4yMDD322GMaNWqUfvrTn6qoqEg33nhjo68nAKBl44oTAAAAAJjgihMAAAAAmKBwAgAAAAATFE4AAAAAYILCCQAAAABMUDgBAAAAgAkKJwAAAAAwQeEEAAAAACYonAAAAADABIUTAAAAAJigcAIAAAAAExROAAAAAGDi/wEaMYFF5/eBzwAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Plot the continuous Variables \n", "d = train_X.select_dtypes(include=\"int\").melt()\n", "(\n", " ggplot(d,aes(x=\"value\")) +\n", " geom_histogram(bins=25) +\n", " facet_wrap(\"variable\",scales='free') +\n", " theme(figure_size=(10,3),\n", " subplots_adjust={'wspace':0.25})\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks like there is a right skew in wage. Consider log transforming, but also notice another skew once we log transform. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = train_X.copy()\n", "d['ln_wage'] = np.log(d['wage'] + 1)\n", "(\n", " ggplot(d,aes(x=\"ln_wage\")) +\n", " geom_histogram(bins=25) +\n", " theme(figure_size=(10,3),\n", " subplots_adjust={'wspace':0.25})\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To tackle this, let's consider converting wage into a ordinal measure where the base category is \"unemployed\". " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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AOFaLpgJOnTr1qHX19fXasWOHNm/erDvvvNN0YQAAAAAQLloUrF5//fWj1iUkJCg9PV1Lly7VpEmTTBcGAAAAAOGiRcGqpKTE6joAAAAAIGxZ/h0rAAAAAIg2LQ5WH330ka666iqlpqbK4/EoNTVVo0eP1rZt2ywsDwAAAACcr0VTATdt2qThw4era9euGjNmjLp06aKvvvpKr7zyirKzs/X2229r0KBBVtfaZtxutzwej91l2CYpKcnuEhwpLi6Oc2Mhl8slSfL5fDIMw+ZqIgM96hxch+bRo9ZiHLUePeoc4XgdWhSsZsyYoaFDh2r16tWKi/vfW8yfP1+XXnqpZsyYoc2bN1tWZFurr69XfX293WXY5uDBg3aX4EhJSUmcGwvFxsbK7XarurpagUDA7nIiAj3qHFyH5tGj1mIctR496hxOug7He8OlRVMBP/roI02dOjUkVEnf/wWfOnWqPvzww5a8LQAAAACEpRYFK5/Pp/Ly8ma3ffXVV/L5fKaKAgAAAIBw0qJgNWrUKE2fPl1r164NWb927VrNnDlTeXl5lhQHAAAAAOGgRd+xevjhh7V9+3b96le/UnJysjp37qzy8nJVVVXpggsu0IIFC6yuEwAAAAAcq0XBqkOHDiouLtbq1au1efNmVVZWKiUlRYMGDdKll16qmBh+HgsAAABA9GhRsHrnnXdUVlam66+//qhpf0899ZQyMzM1bNgwSwoEAAAAAKdr0a2l2bNn66uvvmp224EDBzR79mxTRQEAAABAOGlRsNq+fbvOP//8Zrf169dP27dvN1UUAAAAAISTFgUrl8ul7777rtltlZWV/EgdAAAAgKjSomB14YUXqrCwUIZhhKw3DENLly7VhRdeaElxAAAAABAOWvTwioKCAg0bNkznnHOOJkyYoNTUVO3bt0/PPPOMdu7cqQ0bNlhcJgAAAAA4V4uCVXZ2tt555x3dddddmj59upqamhQTExNcP2DAAKvrBAAAAADHalGwkqSBAwdqy5Ytqq2tVWVlpU466SQlJiZaWRsAAAAAhIUWB6sjvF6vvF6vFbUAAAAAQFhq0cMrAAAAAAD/Q7ACAAAAAJMIVgAAAABgEsEKAAAAAEwiWAEAAACASQQrAAAAADCJYAUAAAAAJhGsAAAAAMAkghUAAAAAmESwAgAAAACTCFYAAAAAYBLBCgAAAABMirO7gJ+zcOFCbdy4UXFx/yu1sLBQnTp1kiQdOHBAixcv1o4dO9S+fXtde+21Gjx4cHDfTz75RMuWLdP+/fuVkZGhKVOmqFu3bm1+HAAAAAAil+ODlSTl5+fruuuua3bbggULlJWVpf/7v//Tzp07df/99yszM1OZmZmqqqrSvHnzdMMNN+iiiy7SG2+8ofvvv1/Lli1TfHx8Gx8FAAAAgEgV1lMB9+3bp507d2r8+PHyeDzq06eP+vfvr3Xr1kmSiouLlZqaqtzcXMXHxys/P1+GYWjbtm32Fg4AAAAgooTFHas1a9ZozZo16tixo0aNGqXhw4dLkkpLS9WpUye1a9cuuG+3bt308ccfS5LKyspCpv25XC5lZWWprKxMF1xwQXC93++X3+8PLns8HqWlpbX2YTlWbGys3SU4ksvl4txY6Mi55Jxahx51Dq5D8+hRazGOWo8edY5wvA6OD1ajRo3SxIkT5fP5tH37dj300EPy+XzKyclRXV1dSKiSJJ/Pp9raWklSbW3tMbcfUVRUpIKCguDyrFmzNG/evFY6Iufr0KGD3SU4ltvttruEiJOcnGx3CRGFHnUGxtGfRo9aj3HUWvSoM4TjOOr4YNWjR4/gn8855xxdeuml2rJli3JycpSQkKDq6uqQ/WtqauT1eiVJXq9XNTU1Idurq6uD24+YPHmy8vLygssej0eVlZVWH0rYiOZjPxafz3dUv6HlYmNjlZycrKqqKgUCAbvLiQj0qHMwjjaPHrUW46j16FHncNI4erwhz/HB6sdcLpcMw5AkZWZm6sCBAzp06FDwztTu3buVmZkpScrIyNCaNWuCrzUMQ3v27NHIkSND3jM1NVWpqanB5YqKiqgeoKL52I/FMAzOTSsIBAKcV4vQo87BdWgePdo6GEetQ486RzheB8c/vGLz5s2qqalRU1OTPv30U73xxhsaMGCAJCktLU2nnXaaVqxYocOHD+uTTz7R+++/r9zcXElSdna2/H6/1q9fr4aGBr322muSpHPPPdeuwwEAAAAQgRx/x2r16tUqLCxUU1OTOnbsqHHjxoX8TtW0adO0aNEijR07VieddJJuueWW4B2r5ORkzZo1S0VFRSosLFRGRoZmz57No9YBAAAAWMrxwerBBx885vZOnTrpvvvu+8ntffr00ZIlS6wuCwAAAACCHD8VEAAAAACcjmAFAAAAACYRrAAAAADAJIIVAAAAAJhEsAIAAAAAkwhWAAAAAGASwQoAAAAATCJYAQAAAIBJBCsAAAAAMIlgBQAAAAAmEawAAAAAwCSCFQAAAACYRLACAAAAAJMIVgAAAABgEsEKAAAAAEwiWAEAAACASQQrAAAAADCJYAUAAAAAJhGsAAAAAMAkghUAAAAAmESwAgAAAACTCFYAAAAAYBLBCgAAAABMIlgBAAAAgEkEKwAAAAAwiWAFAAAAACYRrAAAAADApDi7C3Ait9stj8djdxm2SUpKsrsER4qLi+PcWMjlckmSfD6fDMOwuZrIQI86B9ehefSotRhHrUePOkc4XgeCVTPq6+tVX19vdxm2OXjwoN0lOFJSUhLnxkKxsbFyu92qrq5WIBCwu5yIQI86B9ehefSotRhHrUePOoeTrsPx3nBhKiAAAAAAmESwAgAAAACTCFYAAAAAYBLBCgAAAABMIlgBAAAAgEkEKwAAAAAwiWAFAAAAACYRrAAAAADAJIIVAAAAAJhEsAIAAAAAkwhWAAAAAGASwQoAAAAATCJYAQAAAIBJBCsAAAAAMIlgBQAAAAAmEawAAAAAwCSCFQAAAACYRLACAAAAAJMIVgAAAABgEsEKAAAAAEwiWAEAAACASQQrAAAAADCJYAUAAAAAJhGsAAAAAMAkghUAAAAAmESwAgAAAACT4uwuoLUdOnRIhYWF+vDDD+X1enXZZZcpPz/f7rIAAAAARJCID1ZFRUVqaGjQk08+qfLycs2ZM0fp6ek677zz7C4NAAAAQISI6KmAdXV12rJli8aPH6/ExERlZWVpxIgRevvtt+0uDQAAAEAEiehg9eWXX8owDGVmZgbXdevWTWVlZTZWBQAAACDSRPRUwLq6OiUmJoas8/l8qq2tDVnn9/vl9/uDyx6PR2lpaW1SoxPFxsbaXYIjuVwuzo2FjpxLzql16FHn4Do0jx61FuOo9ehR5wjH6xDRwSohIeGoEFVTUyOv1xuyrqioSAUFBcHlWbNmad68eW1S48959tln7S4BP+B2u+0uIeIkJyfbXUJEoUebx1jqHPSo9RhHrUWPNo9x9OdFdLA65ZRTJEllZWXKyMiQJJWUlAT/fMTkyZOVl5cXXPZ4PKqsrGy7Qi0WGxur5ORkVVVVKRAI2F1OxPD5fKqurra7jIhBn1qPHrUWPWo9etRa9Kj16FFrRUqPdujQ4bj2i+hglZCQoIEDB2r58uX6/e9/rwMHDuitt97SrbfeGrJfamqqUlNTg8sVFRVhffGPCAQCEXEcTmEYBuezFdCn1qFHWwc9ah16tHXQo9ahR1tHtPRoRAcr6fu7UUuWLNGECRPk9Xp1xRVX8Kh1AAAAAJaK+GDVrl07zZgxw+4yAAAAAESwiH7cOgAAAAC0BYIVAAAAAJhEsAIAAAAAkwhWAAAAAGASwQoAAAAATHIZhmHYXQSs5ff7VVRUpMmTJ4f8PhfgJPQpnI4ehdPRo3C6aOtR7lhFIL/fr4KCAvn9frtLAX4SfQqno0fhdPQonC7aepRgBQAAAAAmEawAAAAAwCSCVQRKTU3VPffcExVzWRG+6FM4HT0Kp6NH4XTR1qM8vAIAAAAATOKOFQAAAACYRLACAAAAAJMIVgAAAABgUpzdBcBahw4dUmFhoT788EN5vV5ddtllys/Pt7ssRKkT6ce8vDx5PB65XC5JUu/evTV37tw2rBb43urVq7Vu3Trt2bNH2dnZmjZtmt0lIUqdSC8yhsJJGhoatGzZMv3rX//SwYMH1bFjR40ePVpDhgyxu7RWRbCKMEVFRWpoaNCTTz6p8vJyzZkzR+np6TrvvPPsLg1R6ET78dFHH1V6enobVwmESklJ0ejRo7Vt2zYdPHjQ7nIQxU60FxlD4RSBQEApKSm6//771aVLF+3YsUP33nuvunTpojPOOMPu8loNUwEjSF1dnbZs2aLx48crMTFRWVlZGjFihN5++227S0MUoh8RrnJycjRgwAAlJyfbXQqiHL2IcJWQkKCxY8eqa9eucrlc6t27t84880zt2LHD7tJaFXesIsiXX34pwzCUmZkZXNetWzcVFxfbWBWiVUv6cfbs2QoEAurZs6cmTJigjIyMtigVACICYyicqq6uTp9//rlGjRpldymtimAVQerq6pSYmBiyzufzqba21qaKEM1OtB//8Ic/qFevXmpoaNDLL7+su+++W0uXLj3qPQAAR2MMhVM1NTVp4cKF6tmzp/r27Wt3Oa2KqYARJCEh4aj/aa2pqZHX67WpIkSzE+3Hs88+W/Hx8UpMTNS4ceMUGxsb8VMGAMAqjKFwIsMwtHTpUn3zzTeaNm1a8OEqkYpgFUFOOeUUSVJZWVlwXUlJCVMBYAuz/Rjpgy8AtCbGUNjNMAwtW7ZMJSUlmjt3blT8Qz/BKoIkJCRo4MCBWr58uWpqalRaWqq33npLw4cPt7s0RKET6ceysjLt2rVLgUBAhw8f1rPPPqv6+nr16tXLhsoR7QKBgOrr69XU1KSmpibV19ersbHR7rIQhY63FxlD4URFRUX673//q4KCgqiZkuoyDMOwuwhY59ChQ1qyZEnwd4Muv/xyfscKtjlWP44ePVr33HOPzjrrLH388cf605/+pIqKCrndbp122mmaMGGCunXrZvMRIBo9++yzWrVqVci63Nxc3XbbbfYUhKh1rF5kDIWTlZeXa9KkSYqPj1dsbGxw/ZVXXqnRo0fbWFnrIlgBAAAAgElMBQQAAAAAkwhWAAAAAGASwQoAAAAATCJYAQAAAIBJBCsAAAAAMIlgBQAAAAAmEawAAAAAwCSCFQAAAACYRLACAKCVzZ07V1u3brW7DABAKyJYAQDQygoKCghWABDhCFYAAAAAYBLBCgDQKjZt2iSXy6Vdu3YF140aNUoul0vbt28PrhszZowuvfRSSdKMGTPUp08ftWvXTqeccorGjBkjv98f8r6GYejee+9V165d1a5dO1111VVau3atXC6XNmzYELLfggULdPrpp8vj8ah79+569NFHT/g4nnnmGfXt21cJCQnq2LGjLrnkEpWWlkqS/H6/Jk6cqO7du8vr9apnz56aNWuWDh8+HHy9y+WSJE2bNk0ul+uoOgEAkYFgBQBoFf3791dCQoI2btwoSWpqatLmzZtD1knSxo0bNXjwYElSeXm5Zs2apTfeeEOPPfaY9uzZoyFDhqixsTG4/+LFizV37lxNmDBBL7/8snr06KFJkyYd9fm33nqr7r77bl133XV64403NGHCBE2fPl3Lli077mOYP3++rrvuOp133nl6+eWX9cQTT6hnz546cOCAJKmiokIpKSl65JFH9Oabb+quu+7S008/rZtuuin4HsXFxZKkKVOmqLi4WMXFxerXr98JnEkAQDhwGYZh2F0EACAyDRkyRN27d9eTTz6pbdu2qX///po4caK+/fZbrVq1Sp9//rl69uyprVu3Kjs7O+S1gUBA+/fvV3p6utasWaMRI0YoEAjo1FNP1ciRI/XEE08E9500aZKeeOIJrV+/XkOHDtWuXbvUs2dPLVu2TDfeeGNwvxkzZujpp5/Wl19+qZiYY//b4nfffae0tDSNGzdORUVFx3W8jY2NeuGFF3Tdddfpu+++U2JioqTv71rNnz9fd9555/GeOgBAmOGOFQCg1QwePDh4d2rjxo06//zzNXLkyJB1iYmJOv/88yVJf//735WTk6P27dsrLi5O6enpkqSdO3dKkvbu3Su/36+8vLyQz8nPzw9ZXrt2rSTpiiuuUGNjY/C/X/7yl9q/f7+++OKLn629uLhYNTU1+u1vf/uT+xiGoYULF6p3797yer2Kj4/X2LFj1djYqN27dx/PKQIARAiCFQCg1QwZMkS7d+/Wl19+GZzyd9FFF2n//v367LPPtHHjRg0YMEDx8fH64IMPlJeXp7S0NC1fvlzFxcV67733JEl1dXWSFPy+VadOnUI+p3PnziHLFRUVMgxDHTt2VHx8fPC/4cOHS9JxBauvv/5akpSWlvaT+yxcuFB33HGH8vPz9eqrr+r9999XYWFhSM0AgOgQZ3cBAIDIlZ2drfj4eG3cuFGbNm3SxIkTlZKSorPOOkvvvvuuNm7cqGuvvVaS9Morr6h9+/Z64YUXgtP0jjwk4ojU1FRJCn7H6Yjy8vKQ5ZSUFLlcLm3evFlut/uounr16vWztZ988smSpH379gXvnP3YX//6V+Xl5emBBx4Irvv0009/9r0BAJGHYAUAaDU+n0/9+vVTUVGRvv76aw0aNEjS93eyVq5cqZKSkuCDK2praxUfHx98ip4krVy5MuT90tPT1bVrV7366qsh0//+9re/hex38cUXS/r+rtOoUaNaVHt2drYSExP15JNPqn///s3uU1tbe1Rw+3HNkhQfH88dLACIcAQrAECrGjx4sObPn69+/fopOTk5uK6wsFDx8fHBh1YMHz5cCxcu1JQpU3TZZZepuLhYy5cvD3mv2NhYzZw5U7fddpu6dOmiYcOGaf369cHvVB2503X66afrd7/7ncaPH69p06bpwgsvVENDg3bu3Kn169cfFcSa0759e91zzz2aPn26mpqalJ+fr6amJq1fv15jxozR+eefr+HDh+uxxx7TkiVLdPrpp2vFihX6/PPPj3qvM888U6+++qouuugi+Xw+9erVS0lJSWZOKwDAaQwAAFrR6tWrDUnGbbfdFlzn9/sNSUZ2dnbIvg899JCRnp5uJCYmGsOHDzd27txpSDLmz58f3KepqcmYO3eu0blzZyMxMdHIy8sznn/+eUOSsW3btpD9Fi9ebJx99tmG2+02UlJSjOzsbOORRx45ofr/8pe/GH369DHcbrdx8sknG7/+9a+N0tJSwzAM4+DBg8aECROMDh06GB06dDBuuOEG4/XXXzckGR988EHwPTZt2mT069fP8Hq9hiRj/fr1J1QDAMD5eNw6ACDszZkzRw8//LC+/vpreb1eu8sBAEQhpgICAMLKjh07tGLFCuXk5MjtdmvDhg1asGCBbr75ZkIVAMA23LECAISV0tJSXX/99dq2bZsOHjyoU045RePGjdPcuXMVF3f8/17Y2Nj4k9tcLpdiY2OtKBcAECUIVgCAqPTDpw/+WGZmpvbs2dN2xQAAwh5TAQEAUemDDz74yW0ej6cNKwEARALuWAEAAACASTF2FwAAAAAA4Y5gBQAAAAAmEawAAAAAwCSCFQAAAACYRLACAAAAAJMIVgAAAABgEsEKAAAAAEz6f19t/2ayAS1tAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Break wage up into categories: unemployed, below the median, above the median.\n", "median_wage = d.loc[d['wage'] > 0,'wage'].median()\n", "d['wage_cat'] = np.where(d['wage']==0,0,np.where(d['wage'] <= median_wage,1,2))\n", "(\n", " ggplot(d,aes(x=\"wage_cat\")) +\n", " geom_histogram(bins=25) +\n", " theme(figure_size=(10,3),\n", " subplots_adjust={'wspace':0.25})\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's look at the **categorical** predictors" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d = train_X.select_dtypes(include=\"category\").melt()\n", "(\n", " ggplot(d,aes(x=\"value\")) +\n", " geom_bar() +\n", " facet_wrap(\"variable\",scales='free') +\n", " theme(figure_size=(15,7),\n", " subplots_adjust={'wspace':0.25,\n", " 'hspace':0.75},\n", " axis_text_x=element_text(rotation=45, hjust=1))\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Things to note:\n", "\n", "- Some of these categories possess an intrinsic ordering (`educ`)\n", "- Others do not (`mar`/`race`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Preprocessing \n", "\n", "- Convert all categorical variables in the data to numeric values (of some sort)\n", "- Convert wage into an ordinal variable. \n", "- Scale the continuous variables (`age`)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### High-Level Preprocessing" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are high-level transformation we want to impose on training and test data. These transformations don't require that use any information from the test data (i.e. a mean, a min, etc). Rather there are some formatting changes/transformations that will make our lives easier downstream. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `educ`\n", "Impose an ordering on the education levels." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "HS Degree 2932\n", "Less than HS 1042\n", "Undergraduate Degree 647\n", "Graduate Degree 379\n", "Name: educ, dtype: int64" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ed_cats = ['Less than HS','HS Degree','Undergraduate Degree','Graduate Degree']\n", "cat_types = CategoricalDtype(categories=ed_cats,ordered=True)\n", "dat['educ'] = dat['educ'].astype(cat_types)\n", "dat['educ'].value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's convert this category into a numeric variable." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1 2932\n", "0 1042\n", "2 647\n", "3 379\n", "Name: educ, dtype: int64" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat['educ'] = dat['educ'].cat.codes\n", "dat['educ'].value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is the only way we can **ensure** the correct ordering. Don't trust an encoder (i.e.. `OrdinalEncoder` to get it right)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `wage`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's log `wage`. Note that we add an offset because we have zeros in the data. (log of zero is negative infinity)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "median_wage = dat.loc[dat['wage'] > 0,'wage'].median()\n", "dat['wage'] = np.where(dat['wage']==0,0,np.where(dat['wage'] <= median_wage,1,2))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0 2152\n", "1 1434\n", "2 1414\n", "Name: wage, dtype: int64" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat['wage'].value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `race`\n", "\n", "Let's collapse the racial categories. For some of the categories, there is very little representation in the data. By collapsing, we increase these bin sizes." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "White 3060\n", "Black 1467\n", "Other 177\n", "Asian 171\n", "Two or More 106\n", "Amer. Ind. 7\n", "Tribes Spec. 7\n", "Nat. Hawaiian/Pac. Isl. 5\n", "Name: race, dtype: int64" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat.race.value_counts()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "dat['white'] = 1*(dat['race'] == \"White\")\n", "dat['black'] = 1*(dat['race'] == \"Black\")\n", "# Everyone else (\"other\") is the baseline. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# Drop race\n", "dat = dat.drop(columns=[\"race\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `mar`\n", "Convert categories to dummies " ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " divorced married separated widowed\n", "2431 0 0 0 0\n", "611 1 0 0 0\n", "1779 1 0 0 0\n", "15518 0 0 0 0\n", "10878 0 0 0 1" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mar_dummies = pd.get_dummies(dat.mar)\n", "mar_dummies.columns = [c.lower().replace(\" \",\"_\") for c in mar_dummies.columns]\n", "mar_dummies = mar_dummies.drop(['never_married'],axis=1) # Baseline\n", "mar_dummies.head(5)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " coverage age wage cit educ white black divorced married \\\n", "2431 No_Coverage 29 1 Citizen 1 1 0 0 0 \n", "611 No_Coverage 56 2 Citizen 1 1 0 1 0 \n", "1779 No_Coverage 28 1 Citizen 1 1 0 1 0 \n", "15518 Coverage 29 0 Citizen 1 0 1 0 0 \n", "10878 No_Coverage 51 0 Citizen 1 1 0 0 0 \n", "\n", " separated widowed \n", "2431 0 0 \n", "611 0 0 \n", "1779 0 0 \n", "15518 0 0 \n", "10878 0 1 " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat = pd.concat([dat.drop(['mar'],axis=1),mar_dummies],axis=1)\n", "dat.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `cit`\n", "Convert to a dummy variable." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Citizen 4499\n", "Non-citizen 501\n", "Name: cit, dtype: int64" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat['cit'].value_counts()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "dat['cit'] = 1*(dat['cit'] == \"Citizen\")" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4499" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dat['cit'].sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### `coverage`\n", "\n", "Finally, our outcome `coverage` needs to be numeric (0/1)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "dat['coverage'] = 1*(dat['coverage']=='Coverage')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Re-split" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We learned that we had to make these changes from the training data. Now, let's re-split using the changed data. " ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "y = dat[['coverage']]\n", "X = dat.drop(columns=['coverage'])\n", "train_X, test_X, train_y, test_y = train_test_split(X,y,test_size = .25,random_state=123)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Train Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cross Validation " ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "# Set the folds index to ensure comparable samples\n", "fold_generator = KFold(n_splits=10, shuffle=True,random_state=1234)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize Pipeline\n", "\n", "Note that we still want to scale values, but we want to do this in the pipeline since it utilizes information we'll only learn from the training data (i.e. min/max, mean, std, etc.)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "pipe = Pipeline(steps=[('pre_process', pp.MinMaxScaler()),('model',None)])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Select Models & Tuning Parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As before, the grid search to tune the models is pretty tame here so that the code will run quickly. Often a good idea to explore more of the tuning parameter space when running your own code. " ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "search_space = [\n", " \n", " # NaiveBayes\n", " {'model': [NB()]},\n", " \n", " # KNN with K tuning param\n", " {'model' : [KNN()],\n", " 'model__n_neighbors':[5,10,25,50]},\n", " \n", " # Decision Tree with the Max Depth Param\n", " {'model': [DT()],\n", " 'model__max_depth':[2,3,4]},\n", " \n", " # Random forest with the N Estimators tuning param\n", " {'model' : [RF()],\n", " 'model__max_depth':[2,3,4],\n", " 'model__n_estimators':[500,1000,1500]}\n", " \n", "]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Put it all together in a GridSearch" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "search = GridSearchCV(pipe, search_space, \n", " cv = fold_generator,\n", " scoring='roc_auc',\n", " n_jobs=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And Run" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "GridSearchCV(cv=KFold(n_splits=10, random_state=1234, shuffle=True),\n", " estimator=Pipeline(steps=[('pre_process', MinMaxScaler()),\n", " ('model', None)]),\n", " n_jobs=4,\n", " param_grid=[{'model': [GaussianNB()]},\n", " {'model': [KNeighborsClassifier()],\n", " 'model__n_neighbors': [5, 10, 25, 50]},\n", " {'model': [DecisionTreeClassifier()],\n", " 'model__max_depth': [2, 3, 4]},\n", " {'model': [RandomForestClassifier(max_depth=4,\n", " n_estimators=1000)],\n", " 'model__max_depth': [2, 3, 4],\n", " 'model__n_estimators': [500, 1000, 1500]}],\n", " scoring='roc_auc')" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "search.fit(train_X,train_y.coverage)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Best ROC AUC." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8118115138376221" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "search.best_score_" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'model': RandomForestClassifier(max_depth=4, n_estimators=1000),\n", " 'model__max_depth': 4,\n", " 'model__n_estimators': 1000}" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "search.best_params_" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "rf_mod = search.best_estimator_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Performance" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.8195140444842769" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.roc_auc_score(train_y,rf_mod.predict_proba(train_X)[:,1])" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7354666666666667" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.accuracy_score(train_y,rf_mod.predict(train_X))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model Interpretation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Permutation Importance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Permute the features to determine importance. Note here that I only do this 5 times for the sake of runtime, but you'd want to do this more (e.g. 25 times)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "vi = permutation_importance(rf_mod,train_X,train_y,n_repeats=5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Organize the output as a data frame. " ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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variablevistdlowhigh
0age0.1046930.0038330.0970270.112360
1wage0.0487470.0021890.0443690.053124
2educ0.0481070.0048220.0384620.057752
3cit0.0102400.0018130.0066130.013867
4married0.0073600.0028850.0015900.013130
5white0.0038930.0014760.0009410.006846
6black0.0025070.0012000.0001070.004906
7widowed0.0019730.0008020.0003700.003577
8divorced-0.0002670.000239-0.0007440.000210
9separated-0.0004800.000311-0.0011020.000142
\n", "
" ], "text/plain": [ " variable vi std low high\n", "0 age 0.104693 0.003833 0.097027 0.112360\n", "1 wage 0.048747 0.002189 0.044369 0.053124\n", "2 educ 0.048107 0.004822 0.038462 0.057752\n", "3 cit 0.010240 0.001813 0.006613 0.013867\n", "4 married 0.007360 0.002885 0.001590 0.013130\n", "5 white 0.003893 0.001476 0.000941 0.006846\n", "6 black 0.002507 0.001200 0.000107 0.004906\n", "7 widowed 0.001973 0.000802 0.000370 0.003577\n", "8 divorced -0.000267 0.000239 -0.000744 0.000210\n", "9 separated -0.000480 0.000311 -0.001102 0.000142" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Organize as a data frame \n", "vi_dat = pd.DataFrame(dict(variable=train_X.columns,\n", " vi = vi['importances_mean'],\n", " std = vi['importances_std']))\n", "\n", "# Generate intervals\n", "vi_dat['low'] = vi_dat['vi'] - 2*vi_dat['std']\n", "vi_dat['high'] = vi_dat['vi'] + 2*vi_dat['std']\n", "\n", "# But in order from most to least important\n", "vi_dat = vi_dat.sort_values(by=\"vi\",ascending=False).reset_index(drop=True)\n", "\n", "\n", "vi_dat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualize" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Plot\n", "(\n", " ggplot(vi_dat,\n", " aes(x=\"variable\",y=\"vi\")) +\n", " geom_col(alpha=.5) +\n", " geom_point() +\n", " geom_errorbar(aes(ymin=\"low\",ymax=\"high\"),width=.2) +\n", " theme_bw() +\n", " scale_x_discrete(limits=vi_dat.variable.tolist()) +\n", " coord_flip() +\n", " labs(y=\"Reduction in AUC ROC\",x=\"\")\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Partial Dependency Plots" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Target specific features\n", "features = ['age','educ','wage','married','cit']\n", "\n", "# Calculate the partial dependency\n", "fig, ax = plt.subplots(figsize=(15, 4))\n", "display = plot_partial_dependence(\n", " rf_mod, train_X, features,n_cols=5,\n", " n_jobs=4, grid_resolution=30,ax=ax\n", ")\n", "# display.figure_.set_figwidth(15)\n", "# display.figure_.set_figheight(4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Interaction Partial Dependency Plots (2D)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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gryQb02F2SjyJkHKfzuNKRrL54AZAEiyRnJQpZdnFdTNKRxHoMYia6ovsrj7DwT0HCDbUEvTVoe1WEnENptOFMy0Td0Yug4YPxJudiyE9YCLKcroJ+6/3YKnoGpHSSyqumVowkPD8yJDBjRWnmLJwQaJDigmHy42nuIStazczfsakuJ678J7JrH75PeZ999G4nje7dxG7X/qAj/78fzPu+4+y99WPKRxZjuWJz1w0Z5qH/EG9YVBvilvs81XVEqxYyfqNe6k+U9OsorI3z0t2WRbjhpWT0zMz6T/TUi7BSs8tIHA5vqt4C3FLDEN6sEQzTqebvPxS5uSXtnus1ppg0E9d7RV2XDrGjrXrCNRVXR92qkApA2daFu7MXAYOKyc9Jx/T0T2HaYgbWa7mPVjKaREOhrBczgRGJZKNaVo8PPNrrDiwihW/e57ZT3wNy9H9fkfmjr+H95c8jZ42Ia43GYbkj2ddYDf1lVfwRotSxIPldjH3v/+AQ++tZf+bK0jrkcuQRXNxZ6XHLYa2uLPScWc9QEaL6aFaaxouVxO8sJJVn+6g5kItXFu+RkF6YTrZZVlMGDaQzIL0mM9t64iUS7CS4R9diJuRsuziTiilcDrdOHN7Mje3Z6vH2HaY2torbL90jL1btuGvvoJtt1JhVUd+Hx1uL5Y7Dcvlpe+AUlzedJzeNJxuD4aZch8jXZ7D6cYOXO/BMhwWYX9AEizRqvmDZ7Mx/wgrXnyWktGzGTF+eKJD6lTKMMgZN4GN737I1Efui+u5Jy18ijUvv8DCv/h6XM8LMPCBGQy4Z0qzqoLJSimFNy8L8h4mq8WIVW3b1FVcIXBhNR+/t5n6S/VwLfcyDTKLM8guy2TC0IGk5Xjjlgck/79qDGgi2bAkWyIZSZELEWuGYZKZmc/szPx2jw2HQ/j99fh9tfgaatl3+CQhXz0hXx2hoL/jva0K3Bm5jJg8kcyCIml/E8iwrGZLlhhOB2F/8CbPEKluSv4AwvP78N7GN9hQeYqp99yT6JA61fR+E3l/z3MEG3w44jRUDsDh8eAuzufzjTuYOGVM3M57TVdIrtqjDIP0ojwoepTcUc332aEwtecv4r+wlvffWI+v6vr6f6bTJLMkkzFD+1PQOxdPRuf+f+/6/7K3wZGZie/qVTw58euSFaKjlKGwQ5JgieRgmhZebyZebyYAPbm9yeBa21RXVbJh8xZ8VRcBcHgzGDFpIjk9e8n8nzhqmdwaTotQQNaIFDdnmhYPT/8Knx5cy/KXf82cJ76B5ew+vZ5zZi1izetLmP2tr8b1vBNnLGLVS/+Jnjxabjx1MsMyySwthNLHyB/XfF/IH6TmbCV7jq2jatVuAnXXe/Utj4PsXplMGD3ots+dkgmWp7iEPdv2MHH+zESHIsQNeuoStN2Q6DCE6FRKGWRlF3LP6Hsbt9XVXmH97m3UrfwUrTUOt5fMnv0YPWWcDD2MI8PhaFb0QoibmTdoBpvyi1nx0rMUj5rJyAkjEx1Sp0jLzkUZBrt2HWDUqPgttqwMg9wpI1j7zqfMfKT7rz+WLCyXg5y+xdD3Dyic3HxfsMFP9ekK9p/Zcfuvf4fxdUkTi0eycuPSRIchRKuUYXDi8mVanz0jRPeRlp7D3cOvX1D4fLWsO7GNla/9DtsOk9N7CONnTr3JK4jOoJwW4YAMERQdNzmvPxPvigwZXF9ximn3xXfuUqzMn7mIjz54AeKYYAGMGjSXVb/7BSGfH8st67QmmsPjIq+8F9ALePe2XiMlx2S4vGnYDdJDIJKTYZpoW8q0i9Tjdqczf/AsHp75NR6d/U2ySwZw5GhFosPq9gynQxIsccsMw+ShaU/h8KSz/MXnCPp97T8pyVlOF95eZWxdvTHu5y66dwqrXnov7ucVsZGSCZYQyUwZRrO1H9qitSRhonsb48wFkCQrxkqMXhyrqGy2TdoX0VHzyqexYOLDfPq7X7Pr812JDueOzRm3kKu7dsa92NTg3LHosE1dhSwl1B2kboJlGNiy1pBIQq2WaW9xsaMMkEKDIhVIkhV7ptOB3aTIhWEaUmhH3JK09BwWzf8el4/vZd17S7t0gq6UInf8BDa8/UHczz1pwVdY+/L7cT+v6Hwpm2C5CnpQc/ZcosMQ4gbKbD97Mg2FnSLDCJVSzyulKpRSe9vY//8opXZGv/YqpcJKqdzovhNKqT3RfVvjG7noLB1JsrryBV2imU4ndrBJgmUZhEOpdQNS2pk7ZxgGD059AldGDstf6tpDBqf1mYC/4gLB+vq4ntfhcePpVcjmddviel7R+VI2wRpbOoL9O1ptR4VIqFaHCLYo3aoMsMMpc0H5ArCwrZ1a6/+ptR6ttR4N/A2wWmvddIzFnOj+8bENU8RSa0mWHQ5z5dxpVr/8cza/9QLnDkmbfjtMhxO7yTpYkQQr5XqwXkDamU4xt/8UFk5axKe/+zU7N91+FbZEmzN7EetfWxL3806Y9giX1sZ/iKLoXCmbYGX16ImvQoaciOTTkSIXRgr1YGmt1wAdHZT+FPBqDMMRCdQ0yQoF/BzdupZt771CRm4BRf2HsPaVp6m+eCHBUXY9ptPRrAfLtAzCwdTqwZJ2pnOlpWXx2F3f4+qpA6x9950u2cPszcrFcDjYtfOLuJ5XGQZ500ex9q0VcT2v6Fwpm2AZpgV2an2AiK6hI0UuDAPCKZJgdZRSykvkDnTTW44a+EQptU0p9b12nv89pdRWpdTWhoaaWIYq7sAYZy7aDrPpo4+4cPQA5ZPnMPa+J+gzejK5Jb2pvVzZ/ouIZkynEx1I+R6sDrmTdibV2hilDB6Y/DienB4sf/FXBBriO9yuM8ybuYiL69fE/bwjB8ym7sR5gg3+uJ9bdI6UTbCESFbKMNudg2WYCi3XPy09AKxvMWxnutZ6LHAP8KdKqTZXF9daP6u1Hq+1Hu/xZMQ6VnEHiq9UcfHITpw9BtF75AQATu7dhtaagrL+CY6u67g2BMl0tChykYJzsG7BbbczqdrGzOk7kXum/AGfvfoCOzZ2rblFlsOJt3dftqxcH/dzR8q2y5qtXVVKJ1iG202gruvdURHdW4d7sFJnDlZHPUmLYTta6zPR7xXA28DEBMQlOpFt2+zYuoxhfceQ23cYR45WUPnlESq/PExR/yGYDqfMXegAw+kkHAhEfnY4sYMterCC8m/YBmlnboPXm8lj879L9ZkjrHnnrS41ZHDOmLup2rMbuwPLp3SmwTljUCh27D8c1/OKzpHSCZanZzG7t+1OdBhCNNNqmfYWDENJgtWEUioLmEWTJdeVUmlKqYxrPwN3A1IFoRswTSeZmfmMceZy8eguvtyzhZDfT79x0zFME2VEPtqqL17AX1+b4GiTk+F0EvJHhh8ZptFs3qf0YLVO2pk7o5TB/ZMWkZZXzCcvPIO/vi7RIXWIUorciZPY+Hb8FwGetOApzn+wIe7nFXcupROsCaUj8Z07m+gwhGhGme33YClDdak7gHdCKfUqsBEYpJQ6rZT6jlLq+0qp7zc57BHgE61100/sQmCdUmoX8Dnwgdb6o/hFLmLBMAyGjZjF+jWv8dYb/0zw8G5q6jUj5j1IWnZu43GXzpxg/+plLPvp31N3VRbubMlwugj5Wp/fkYpzsKSdiZ/ZfcZz37QnWfXai+xYvyXR4XTItLJx+C9ejPuoJ8vlIq1fMZvXdI1/J3GdlegAEsmTmUOwqirRYQjRjGF0YB0sM3WGCGqtn+rAMS8QKbPcdNsxYFRsohKJVNJrCA8/9l8IBPxkZffA6XSz4+Jl+mdqlFJcOn2CL3d/jsubQc+BI1j52//DvO/+P3gyMhMdetIwXE5CbaxTlIo9WNLOxJfHk8Gi+X/Esq3vsOatE8x45DFUi+VIks3c2Y+x6rXFzP7ON+J63vFTHmbViz9DTx/X2Dsvkl9K/59K9j9mkZqUlGkXol1Z2YXkF/Ri3+6VXLlyjjHOXI4eqyQUCHDx5FEObviU8kmzmLzoW/QeOYEjW1bL3KwmIj1YrSdYpszBEnGglOK+CY+QXtibT377NP665B7O68nMxnC72bljX1zPq5Qif+YY1iz+JK7nFXcmZgmWUqqXUmqlUmq/UmqfUurPWzlmtlKqqsnq6H8Xq3huJlWGWomuoSNzsFJsoWEhWqWUoqzPCMKhSIEGrTUnTl3FLBxB6dDR7F7+DgAj5j3IgPEz5O5vE4NchRw/3fpakKnYgyUSZ1bZWB6Y8VVWvfEy29dtSnQ4NzV/+qNcXL8u7ucd0W8mDacqCNa3flNEJJ9YftqEgL/UWg8FJhMpXTq0lePWXlsdXWv9kxjG0ypHTi71Fy/F+7RCtEkZZrsJlmmq9kYRCpES8vJLyS8o4+jhLRRWVjYuRpw34m78DXWNRS48mdkAHN68ilAwkKhwk4bD5cYOtD4Hyx8eGveKaSK1udxpLJr3XWovnmX1kjeStrfZdDhI79efzz9dG/dzT1jwJKtelLLtXUXMEiyt9Tmt9fbozzXAF0BJrM53uzw9i9m7XSoJiuShIqsI3/wYhQwRFKIJy3KxcvlvG4cL+qsvc/HsWexwuHGUQu3li5zYuYkPf/aP2El6ARcvlstF2N96oqkskxNVF+MckUh1SinuG/cgmT378fELz+CrrU50SK2aPWo+1fv2Yofj28vrzctFWSbb9x6M63nF7YnLeAmlVB9gDLC5ld1TlFK7lFIfKqWGtfH8xtXPO/sPblLJSHznznfqawpxJyIlk9tfaFgSLCGu6913JOMnPcCyd3/K+jWvceC9X1EwcBxnKvyN823d6ZkMm30fAV89F47sT3DEiWU5XdiB1hMswzKxU6yKoEgeM3uN5sGZX2PN4lfYtib5SpQrpcibPIUNS+LfmzTprqe48GFyD6MUETGvIqiUSgeWAD/WWrfMjrYDvbXWtUqpe4F3gPKWr6G1fhZ4FiC/rH+nXlXebJiEEIkQmYPVXpGL1KkiKERHDR46nfSMPLS2KS0bRu8+IwDYcbSCcNCPJ3iBQ5tXMmz2ffQcODzB0SaWw9n2Z59hmSlXpl0kF5fLy6Nzv8OHOz5g1ZuvMmvRE0k1h3Jq6Rg+2LmDQG0tzvT0uJ3XcjlJH1DKppWbmTxnUtzOK25dTH9blVIOIsnV77XWb7Xcr7Wu1lrXRn9eBjiUUvmxjEmI7sAwVLtJmBCpqLTXEHo1Sa4Ahmo3V04eYPuKZZQNG8fgafMBknaeRzxID5ZIdkop7h17P9m9BvHxb5+moSa5ltWZO+sx1r+2JO7nHTfpQS5v2ivzJJNcLKsIKuA3wBda639v45ii6HEopSZG44l7xQllWYSDwXifVojbFpmmJQmWEG3R2mbdqle4cuUcF84fo37/VgrKx2L0GB7dr5Pqjni8GZaFDoXa2CcJlkgeM0pG8tDsb7D2rdfZtmZjosNp5MnIxPJ62bltT1zPq5Qif/ZY1rz5cVzPK25NLD9dpgFfB+Y2KcN+b4uV0R8D9kZXQP8Z8KROQM10d2Eh1WfOxPu0Qtw2Q6oICnFTShk4nG4Wv/ITtmx6l9FjF7Bw1EIADh+5kPLrIN7s/RumJFgiuTidHh6d820uHdtNKImmdcyb/igXN6yP+3lH9JmB7+xFAnUNcT+36JhYVhFcp7VWWuuRTcqwL9NaP6O1fiZ6zM+11sO01qO01pO11gmZzTi2ZARfxHnhOCHuhKFkHSwh2jNp6qOMGns3F84dpXffkQCMduQw1pXHkaMVHDna+jpQqU56sEQyUkrRc+QM1r17w4yThDEti4zygXy+fHXczz1x4VOslrLtSSt1x0c0kZFfhP9iZaLDEKLDpIqgEB0zccojTJr6KKdP7o8MC4z23FxbL+taonXwwCmuXjhDoKE+keEmBUmwRLKaWjCQUMCXVCXcZ42YS/WBL7DbGHIbK56cbAyXg+27D8T1vKJjYl5FsCswDAPiPzJRiNumZA6WEB02buL92Hb4hmFx15IsgM99p9m/bQ+BuipCAV/zF9BguTw407NwpWUxcNgA0rJzMczu+REqCZZIZgvHP8TH777FvK9+K9GhANfKtk9l/eKlzHjy0biee9L8J1n72q9g5OC4nle0r3t+OgjRzZlSRVCIW2IY5k33T8wshRGlre7TWhPw11Nbe4VdV75k1/qN+Ouq0M0WGtVYLg+ujBz6D+5Pek4e7ozsyA28LkAZBnYojGGZUqZdJDWPNxPT6WLP9v2MGDs00eEAMLVkFMt2bMNfU4MrIyNu5zWdTno+PJP9lZUMLSiI23lF+yTBijK9aXH/wxDidilZB0uIuFFK4XKn4XKnMTf/5klYdfUldh05gb9mN8H6GrS2m74QzrQs3Bm5lA8dQHpuPg6XO07v4uYMp0U4GGpMsKQHSySzheMeZOna3ydNggUwd/ZjfPbaEub80bfiet5BmaM4zvG4nlO0TxKsKE9xMbu37mbCnGmJDkWIdkkVQSGSy7UkrMCdxvweZa0eY9s2dXVX2HbpOF/s2I2/5grh4LWKaIprvWDurAKGjRtJem5B3KodGg6LsD+Aw+PCsEy0rLEjkpjD4cKbU8iOjdsYM2VcosMBwJ2eiZWezo4tuxkzYWTczy+9WMlFEqyoCSWjWLP1o0SHIUSHfGlPgYaNgDSmQnQVhmGQkZHH7Iy8No/x++vZXHGQnes24K+53LjdlZFDWn4JIyeMwnK6Oj82l4NwILIepDJliKBIfgtGLeStT3+Dnjw2aZZdmD/9ET545zn0+BFxjalvqC/HLenFSiaSYEV5MjIJ19UmOgwhOsQwFXZIhggK0d24XF5m9hoDvcY0btNaU1Nzic/P7mPNW29ihwIAGJaDtLxiRkwcizcr547OqxxNEqwkuVgV4mYMwyS71yC2rFzNxLmzEx0OAIZpkTFoMJ9/sopJC+bE9dx9Q33ZX3lcerGShCRYQnRBylDY4faPE0J0fUopMjPzmZ85q9n2YNDPhnP7WPf26xQOncKoiaNu+xyG0yLkD95pqELE1bxBM1m84jm0PROVJAVlZg+fw3tLniY8dwamI/6X2TJUMDkkx29jslAKLRNbRBdgGAa2LC0gREpzOFzMKhvLI3P+kHN71t76Gl5NPvMM5/UeLCG6CqUUPQaNZ8OHyxIdSjP5U6exYfE7cT9v31BftNaE/IG4n1s0JwlWE868fGovVCQ6DCHaJT1YQohrDMPg/ulfYeWrL6Jv4caL4XAQDkSHGzoswtKDJbqgWWVjqas8QyiYPEnFlJ4jCdXW4quK74LIdjjMsZ8vYdk//orlf/UzwsH4Ln4srpMEq4kxJcPZt2NvosMQ4gZKRSqQXWOYqbUOllLqeaVUhVKq1T9QpdRspVSVUmpn9OvvmuxbqJQ6qJQ6opT66/hFLUT8eLyZ9Bg0njVL3ujwcwynk6AvsqhyidmLYxWVsQov6Ukb07X1HD6N9UvfSXQYzcyb/TgbXl8St/PVVV5k1+9fxVkNff/kUdKL8tj+63ewQ3I3NhEkwWoiq6gE3/lziQ5DiBsow0A3WfdKKUWKVVF+AVjYzjFrtdajo18/AVBKmcAvgHuAocBTSqnkWThFiE40s2wMptPNlpVrO3S84XIR9kfKxJtOJ3Zq3+1+AWljuqyphYMJNtTir0+eYmWutHScWdns+HxnzM8V8vk4uWEDYb+fST/4E0y3E39xLvUVVzCsmy+yLmJDEqwmLIcTHUrpDxiRpJShWvRgGSnVg6W1XgNcbvfAG00Ejmitj2mtA8BrwEOdGpwQSeSeMfdx9dRB9u482O6xhtNFyBdNsBxOdCB1P/+kjen67h7/EOvefSvRYTQzb+pDXNq08ZaG7t6OK8dPcOX4CfrOnoUrI52el3IJXq6hePwQgJifX9xIEiwhugBlNB8SqAxFWHr9W5qilNqllPpQKTUsuq0EONXkmNPRbTdQSn1PKbVVKbW1oaEm1rEKETMPzvgKp7Z+Qjh48zlVhtNJyB8ZImg6HdhS5KI90sYksbS0LAzTYu+OA4kOpZFhmmQOG8bmjz6L6XkOvPc+6YWF5JUPQNs2l48ew1VpU+mILLkgSy/EnyRYLSiHg1B0TLoQycIwFHaTIYKGoeSOVHPbgd5a61HAfwLv3OoLaK2f1VqP11qP93gyOjs+IeLGspz0GncXn7324k2PG+wu5PjpSGGnmw0RlKYGkDamS1g47kHO7enYENl4mTVkFrVHDrd7w+N22aEQzox0+s+fC8D53bu5sG8faQUFZI8ZyP7KyNzKQG09ZzbvZc8rH7Hzt+/FJBZxnSRYLXh6FrNr255EhyFEM8psPkRQqgg2p7Wu1lrXRn9eBjiUUvnAGaBXk0NLo9uE6Nam5A8gq6Sc9e+3fSFlOd3YgWtDBKUH62akjekanE437qx8dm7akehQmsmfNp31b7wTk9c2LIu0/Hw++8d/YufLv+eLd97Dm5tL//nz6BvqC8CVY2fY+qu3OPLRRtw5mVw8eILlf/UzfFelJzVWJMFqYXzpSHznziY6DCGaUTf0YBnYKTQHqz1KqSIVHQOhlJpIpG27BGwBypVSfZVSTuBJYGniIhUifuaVTyPYUMuOjdta3W81KXJhOJzYTedg6aZFdWIaZpcgbUzXsWDUPVz4YlOiw2hmStEIwg0N+KqqYvL6wx9/jDHf+Dqe3Fwm/PEfMei+e3FlpANgh8Ksff4dAPovmEz5PVOZ/69/RvGEodRfik08QhKsG6Tl5BO4fDvzXIWIHWU2XwQ7UvQigQHFmVLqVWAjMEgpdVop9R2l1PeVUt+PHvIYsFcptQv4GfCkjggBPwQ+Br4A3tBa70vEexAiEe6ftIiKLzbjq7vxTrXD6caOroNlOh3oFK4iKG1M92GaFlnF/dm6al2iQ2lm3uzH2PBa7Mq2l06cwKD77kFrm4MfLMOOTtQOf3gU39mLXPH52Pj8u3z0v19if2UlQx6dS27/Uhqu1PD5z1+PWVypykp0AMlGJgKKZGQYRvMeLFOlVA+W1vqpdvb/HPh5G/uWActiEZcQyU4pgwdmfo2lr73E3d/+Ewzj+n1Vy+XC9geix7WY15lin4XSxnQv84fMYfGK59Azp6KM5OhLcHnTcObmsn3TDsZOHhOz82QWF+OvriZQW4srI4NgfT0jFjxIn5kzANjwHz8jWF3HtVIge//LL2k4eYFTB0/Q+1v3MX7c8JjFlkqS47cuCUkBAZFMIkMEm/RgKZmDJYToGJfLS8/hU1n95qvNtjedgyVEd6KUomDAGDZ+9FGiQ2lm3uQHufz5pphfYxYMHow7KwtlGNRWXCCjuCcAl48dp2L/F/Tyl9A31Jerz6/Ha6bzBy+/xJCp8zn903fZtn0f+ysrW/0SHSc9WK1wZGXTcPkK3rzcRIciBHCtyEXTHiyZgyWE6LjpxSP4+PJ5Ni//lEl3zQPAtCy0rPcguqnZfSeweMWvCYdCmFZyXO4apknW8BFsXracyffdHfPz2WEbV2Ymu199nZFPPcG2519g0H334snJwV9dzamNm8gbWA5A39mz6DlmNO6sLGhltPBx6zj7Kyup2nWY6v0nIu/HMnH1zGPYsHIyexXh8Lhi/p66iuT4jUsynuJi9mzbzaS7Zyc6FCGAaFn2cOrOwRJC3LkFw+/i7TUvs2fbPkaMG9b+E4To4noOn8r6pe8w89HHEh1Ko5mDZ/DeW88QDgQwnc6YnsswDUZ/9Svse+ttTqxeS8m4cQx+4D4AXJmZ3Pt//he7Xn2NzU8/w/jvfieSXBEZxdVyysy1ioQM6wvR5iMcDFJ7/gJfHNxBw8rPsf3XK5Fa6R7cxQWMGDGI9KI8DDO1Bs1JgtWKSSWj+HRtcq0GLlLbDT1YLaoKCiFERzw47SmWrHiOoSMHYjociQ5HiJiaVjSUtw58TqChHqfHm+hwGhVMn8H6N95m5teeiMv5hj36CHbYxjAN6i9dwpmWhuV2Y7ndDH9sEev/938Q9vsb24SO1iMwHQ6yepUyrlfpDfv8NTUcvLCN7Wu3Eqi82jgsUimFsyAbT0kBo0YOxp2V3nlvNIlIgtUKh9uD7Zdx6SJ5KMNoNgfLMA2ZJyiEuGWmaZFZ1Je6q5fILChKdDhCxNzd4x/i03eXMPfJryc6lEaTewzjw8A2Gq5cwZOTE5dzXutBurBvP4eWfcjkH/6ArNJSjq9egzs7C2d65yY6rowMRmbMhgHNt9thm/qLlRy+sIP1S5YTqqm/HqPbiac4n2HDBpJZ2gPT2XVvAkmCJUQXEBkSqJs9lqkTQojbYTqcBAO+W3pOa0OGhOgK0tMjCUx91WW8Wckzt37erMdY/vorzP3+d+J63r4zZ2AHg6z9t/9NXvkAqk+dZvgTjzf2cMWaYRqkFxYypnAhjGy+L9jgo+bcOfbs2oX/o3XYTZaOcORk4inJZ+SIQXgLcpK+PZIEqw3KsggHgzKEQiQFw2xRRdBQaClyIYS4DYbDSegWRmkoFVl3OMmvZ4Ro08LxD/HB0je46+vfTXQojZweL678ArZv3MbYKePieu7+8+ZSOHwYdZWVpBcWkVaQH9fzt8XhcZPbry+5/fo22661xnf1KgfPb+PzTzYQuFzduBi6Mk3cRXkMHVZOVlkhjjRPIkK/gSRYbXAXFlF95gw5ffokOhQhIglVuMUcLClyIYS4DYM9+Rw8cZ7CfoM6dHxkjawYByVEDLlcXlzpOez6fBejJo5KdDiN5k5+gA/eegY9eWzce2TSCwtJLyyM6zlvl1IKT04Oo3Pmw5Dm+8LBEHUVFzhwdAe+tVsJN1y/eWSleXCXFDB8+EAyeuZjWGbcYpYEqw3jSkeyZcdWpkqCJZJApMhF0x4sKdMuhLg9DoebcE2gw8crBbatMU3pwhJd18Ix9/H2yheSKsEyDIPsUaPZ9P4nTHlgQaLD6ZJMh0VmSQnjSkqgRUdgoLaWAxXb2LlxB/6KK9erMSuFKz8bd3E+o0YNxp2d0ekJriRYbcjI64H/c1lUTSQHwzCaVQ2MVBFMYEBCiC7L4XARDraTYOmmcz6RHqxOVldbg9Y2SqVW6epEMk2LjKLebFuzkXEzpyQ6nEYzyqfy/tu/IuQPYLliW7Y91TjT0xmZPgv6Nd+ubZv6S5c4dH47G9/5jGB1XeM+w+nAXZwfXdvr9nv4YpZgKaV6AS8BhYAGntVa/7TFMQr4KXAvUA98S2u9PVYx3QplyCeKSB6RIhdNerBMhS2/n0lhzfL3qa29gNebx6gJE8nOKZKLJpHUHA4XdvAW52BJj3knU7y3+Bny88uZMnt+0k/Y7y7uHjaPxSt+jZ4xOan+zfOnz2D960uY9Y2nEh1KSlCGQVpBAWMKFsCI5vtCfj81586zb+9O2HPots8Ryx6sEPCXWuvtSqkMYJtSarnWen+TY+4ByqNfk4Cno9+FEE0os/kcLKUUWuZgJVQoGODj914iN7cvD496gKt1F9mydSt1dZGeb8OwyMoqZcykSbg93XOdD9E1OZxuwu0lWE0uPg1D5mB1tnSnm8fGPcbqk3t4b/HT9CwawYQZMxIdVrenlEF+v5Fs/mQ5kxfcnehwGk0uGMqH4W3UX7qMNy95Kh2mIsvlIqdPb8b36Q3AYV65vdfpzKCa0lqfA85Ff65RSn0BlABNE6yHgJd0ZEGfTUqpbKVUz+hzE87KyKDh6lU82dmJDkWkOH9oKLZd0fg4me68paJdm3dw/MQ6BvSfw7i8yBCCnPQC7i4vaDwmGA6w+dxx1q5YSjDUAIDLlUlOdhmjJ4/HMOI32VaIppoNEVQKbduRURstNC3NLnM+O59Sitm9R6LLhvPpsW0sffNpSkvGMnaq3GeOpTn9J7N4xXPY4RCGmTwzZebPeoyP3/gd8/4keSoditsXl98spVQfYAywucWuEuBUk8eno9uSIsFK69OPja8tYfrXn8KZljwrgIvuTxmq2ZoUyjQ4UX2RgVwvXSp3lBNj7Ypl1NVV8tj4xzFvkiQ5TCfTSwdB6fVKbTUNV/n83BE+evcFAAoLhzF2yiRJmEVcGYaJjnaBG04nIX8Ah8cNXE+qDNPADtmYDhPDiIzzF7GhlMH8/hOw7bEsP7yR95b8irLSiYyaNCbRoXVbRUMns/69pcx4+NFEh9LI4fbgLixi2/otjJs2IdHhiDsU84kCSql0YAnwY6119W2+xveUUluVUlt9tbf1ErdlWu9xzJm1iPWvvMHql18j2HBrCzMKcbvMNA+B2uurmzu8LoL1wWbHyDV5fIVCQZa9/RtMw+KhkffeNLlqS4Ynm3n9xvPI6Ad5YMQ91Ndf4oO3nmPFB69TXx+/tk2IayIJVuSzzbBMdHQFc8MyCIciPyulpAcrDgzDZMGg6Tw86gEqLx7ig7eeo6b6UqLD6pamF4/AV32JoD+5ruvmTbyPK9u2ouUOapcX0x4spZSDSHL1e631W60ccgbo1eRxaXRbM1rrZ4FnAfLL+sf1t86blcO9932bzZcOsPalV3BkZDBl0UNS6UXElJXuxV9dhzsrMnfH4XVTf6p5giXtb/zs3rKLY8fW0L//bMbnFXXKa1qmg/n9JwJQXX+F1Z8uJRCoJze3L5NnzU2pIYSVFV9y6su9DBg4kcysgvafIDqN4XQSji46rBwWIX8Qp2VFE6xIL5cykC6sOLJMB/cNnYs/6OOT1R8SDgeZdfcivN7MRIfWrdw17kFWvrOEOU98NdGhNFKGQfboMWxc+hFTH7on0eGIOxDLKoIK+A3whdb639s4bCnwQ6XUa0SKW1Qly/yrliblDYYHBrPpwj5WP/8Srtxcpjz6AKbDkejQkoa/ppbDH38MWlM2dSqZJcWJDqnLsjIiCdY1Dq+bYF3wJs8QsbLu04+oqTnHY+MfwzRi02RmenN4YPgCtLZZd/oAH77zPKbppGfRyG4/TGj3zhUcPriJzKweHHjn35kx52v0KhuW6LBShuF0EfL5oz87CAeCkObBtAzCwWs9WDIHKxFcDjcPDF9Ag7+Ojz95C8Mwmb1gES6XTFnoDBmZedh2mIbqq3gysxMdTqMZA6ZEyrb7fFhud6LDEbcplkMEpwFfB+YqpXZGv+5VSn1fKfX96DHLgGPAEeA54AcxjKdTTC4cxv0P/RHp/ctZ9dwLrF+yFDsUSnRYSWHjT/+TkN+Pv7qG3a+9TrChodn+qlOnOfLJcs7u2EnN+fONXeDSFX6jMk9/Dp+83pnr8LoJyBDBuAqHQyx7+3kAHh51f8ySq6aUMpjRayiPjnmYhUPmcvnKMd5f8iwrP1rCmdMHuHTxNLU1lwkG/d3i7+bSxdOcPLGH8RMf5K6F36Nv/zGcOXUAkHYh5qL/vIbTScgXHSLotAj7I+1Msx4sJVUEE8njSuPhUfcxZ8BkVnzwCis+eI1Qe+uYiQ5ZOP5B1i9tbYBVYhXMnMX615MvLtFxsawiuA646SVgtHrgn8YqhliaUjwSHh7J+lPbWf3b393y8w2XC9PlxvS4Mdwe+pX1xJnmxeH14vB4sNzuVqs6JavKAwcI1NYy+qtfAWDF3/49NefOk9vvelGGiwcPsv+dpWT3LsNfVU3vGdMZcPddGKbB+d17qD59mrQePcgfNBBXRkai3kpScGWkE6q4nqCaLichf/NEXi54YqehvoH3Fj9Nv34zmZCfmJ5Yl8PNwkEzAbhSW8nuI2cJhhoIBiNf4fDNezRN04nDcmFZbizLRVl5L5xOT+TL5cHpdGOajoQV2LBtm9Mn95ORkUvvviMBcDq9GKbZrHpd059F5xvsKeLg6QvkDxqI4XC0SLCkByuZZHiyeXTMQ2ypPMNHS18gLS2PmXc9hJlElfC6Grc7HYcnnT1b9zJi/PBEh9NoUt5gPtRb2b3nECNHDEx0OOI2yF/lHZrWayz0GntLz9FaEwr4CTTUE/TVE2io54tTZwn7fIR9DYR9Pmy/v3OuoJWKXJxEv5RhNNkW/dmI7DMsB8phRb87MBwORo4bgSvz5uO+tW1z5fgJCoYNASBQW0vxuLFUfnGgMcEKB0PYYZvBD9zHwHsWNnv+5WPHOLD0fTKKe3Ju5y5Obd7M5D9N+s7MmHKmZxCquT5EUC4w4ysQqGPRuEVYZnIMAc5JL2BWesfnJmmtCYYDBII+AiE//qCPw8cuEAr5CIX9hIJ+QiEfYfvWet+VUpimA8NwYJpOTMPCMC0Mw8I0HPQaUEx6ek6H5lEF/PVcuXyWniWRi4e62quE7dANCdW1nw8f3MS61a8yY/bXGDBQKmzdseg/seV0YddGekMMl0Uo0CTBCkYrDRpyQyeZTCgoYULBI2w6f4Jlbz9HVlYpM+bfJwuc36aFYx/g3dUvJVWCBdGy7R++BJJgdUmSYCWAUgqHy43D5QYiC8r1IDZ/QFrryFAbbWPbNkQfa9uObtdobaNtm3AoRDgUIBwMEgpGvh86cxFH9c0XpLRDQS6cuYDp8XLgdCV9MpzYoSCm8/rFaTgQoObsWa58+SV5AwaQXlSIKyMDrTWXDh8BYNwffgs7bLP8b/4rVadOkdWrV1un7PYcXi/huptXN0qVnEsp9TxwP1Chtb7hE1Ap9VXgvxC5ZKwB/kRrvSu670R0WxgIaa3Hd+Sc2d7spEmubodSCqflwmm5Grf17IS1K21tEwoHCYWDBEMBQnaQcDhE2A4RCgc5dvg0LlcVmZntLGILBIMNnDj2BeMnPwTA1avnqa2+RPmgyZFz2TaGYXDl8jnOnD7A/r2rcXsySM/IaXwNrW25qLxDDqcbO3CtyEV0DhbNe7BQqtsP2UxEO3OnJhf1gaI+rDtzkPcWP0N+3gCmzLlLbsjdIstykFZQyvZ1mxk7PXnWIHO43HiKS9i2djPjZiRPXKJjJMHq5tS13ioMbqcoWc8OHBM2Qmz1G+Tk5FMHHDhykkuVV/D2yuDA6crIMT4fgR49CV+uYs/rb5Lbvy/DH38Mw7LI7d+fczt28cXS9wgHAmQU9yStR+GtB9uNGKbR7S9obsELwM+Bl9rYfxyYpbW+opS6h0jF0aafRnO01hdjG2JqMJRxPXFz3bj/Vm6JVFZdwjQsLnxZx3ldw8FDawFFQ5WXo/tO039YKRfOH2PX9o/p238MffqOwtdQS3bO9SqOShlcuniaHds+ZMr0PyAtLeuO32OqsZwu7EC0B8tpEfZHf24yBytFerBeoIu2M9NLBqGLB7Lm5F7eW/w0RUXDmThjZiJC6bIWjLiLJSt+jZ42MakS1Lnj7+H9JU+jp03oUtNGRBzWwRLdn2lZ1Fw8j23bjDF6kHu8kvywk3G9RjLG6MFoVcB4bxlzxiyg7ImnKPz6tzl98Agb3/2QA6cr+WLHHuo1nNi1lwu799Jv7mwsl1MSDAGA1noNcPkm+zdora9EH24istyDSHK5GYUUZxawZeN/cmzvG7iCtSwYMpcRGekM9brYuWkr7y35D4p7zKB80GQqzh+nsGd/HI5IVa1QKMiuHctZteIFzp05xMXKkwl+R12T5XJhR5OqUrOM45WRHMGwIgsNQ2rMwerq7YxSilm9R/DYuMcI+OtY+uYv2b5hU6LD6jKUMsjpM4zPV3yW6FCaUYZBzrjxbHz3w0SHIm6R9GCJTjFo6ny+WPsxNZcuUHniMCPmPUhGXg8gukhlOIxhmowxeoAB531h+rt7kH3BT8OZS4yd+zgnS9I4v+IT9q5az+XMfAyr7SFal7dtwV9REXl9y0KZJoZloUwr8tiyIo+jX3165mM6HBgOK/LduvazE9PpwHQ45O5Q9/AdoOknkQY+UUpp4FfRNfVapZT6HvA9iJRNF7FlGib3TvgqR87uJRDyMah0DGcuHkOjSXdnUogPO9TAnr1vcfzEOmpqqikfNAnDMAkEfHz6ya/p0aMPRcUDcDhc5ObJshC3w2oyRNB0OLGrI/PyDFM1W2hY7nc1c1vtTDzaGKUU8/qPx7bHsPzIJt5b/AxlvSYyatKtzRVPRfPKp7F4+bPY4dkYZvKsQzi93yTe3/0swQYfDo+Ube8qJMESnaJ0yGi01lR+eZhhs++l17Cx7F35Pu60TAZMnMnRrWuprjxPTnEZgfpaQJHXqy8N1Veou3qJ9NwCxhjpHMoopqoBhjR48GbdZNLIhPuAyBwzOxTCDocIh4LR75Gfw6EgdvTng+cq0aEQOhTCjn6P/BxEByPfb3oFcW3IQPQYZ04u7qIiRowZjjNN1iRJBkqpOUQufKY32Txda31GKdUDWK6UOhC9U32DpguaF+WWyeVknAwovj7dJRDyU3n1LOlFmfQpHMSfPfjPnKw4zEfbX+Nq7SU2rf4MOxzCcNUwcNBk+vYfy/rVr+LOzCAjIy+B76LrUcrAtm1My0KHI4mU6XRgB1or0w66m/dgddSdtDPxbGMMw2TBwGmEwiE+ObSWD97aRu+yyQwfPyKWp+3yegyZxIYP3mf6gw8lOpRm5sxaxJrXlzD7W8mzKLK4OUmwRKdQhkHZ8HGUDR/XuG34nPsjhTWA3JI+1Fdd5syBXYSDAaY/9cdk5heSnpOHYZjs+GgxPfoO5Oi29QycMgd3RnbHzqsUpiPSA+XA0+ZxRQy5o/fXlLZtaq9cZNu5fWx8ayl2k/W+rMysaOI1DFdmZlKN5e7OlFIjgV8D92itL13brrU+E/1eoZR6G5gItJpgicRrmmyF7RCmYVHWo5x0VybzRy0iN7OQj/ctp/LiQdLSczh2ZCumZVFSOhiQku63wnQ4Cfl9OD3XbxCZTid2MNKDFbCHEQ5FRwmkxhysdnXFdsYyLe4dModAyM/HB1Zz8u0tzL57EV6Zr9iqmaWjWHJoG6GAH8vZykTTBEnLyUMZBrt3H2TkyEGJDkd0gCRYIqaM6LC7vNI+5JX2uXG/aTHmnsc5uWcLZ77YSZ9Rk+g/bvoNxyUTZRhk5PVgdl4PaFJrSmtNQ/UVtp7bx5YPPiFUW4sG3D0KmfrwvQmLt7tTSpUBbwFf11ofarI9DTC01jXRn+8GfpKgMMUturaw84WrpynO60uvggE4LCdPTHySNaf28cXudVy+cpys7AIGD420GZJcdZxhOQkF/M0SLMPhwA5EEixlmZyoushA+qbEHKz2dPV2xmm5eGD43TQE6vhkxTsoFLMXPobLJSMwWioeOYN1777F7MefSnQozcyfuYiPPngBJMHqEiTBEgmXW9Kb3JLeiQ7jjiml8GblMjNrBgy+vn31vlWsfPa3zPz21zEdHf+TU4bCDoUxrOQZC54ISqlXgdlAvlLqNPD3gANAa/0M8HdAHvDL6AX2tTLJhcDb0W0W8IrW+qO4vwFxRwqzSynMvl5PQGubmb2GMTKnkI/2fYIyTA7tOcjk2SUJjLLrMR0uQgF/i21OdOMQQRO74VoVwe4/BytV2hmPM42HRt5LTUMVK5a9isPhZfaCR3E4kqe3JtGm5Jfzzv7N+GqrcafffB3QeLKcLry9erF19UbGz5qS6HBEOyTBEiLGZg2bzaaCAj77xTNM/+ZX8eR0bHKzleYhUFuPOzsDANMyCPpDOFyp9Wertb7pbUSt9XeB77ay/RgwKlZxicS4tu7VuSsn6eH2MHnwXZwIOxpLu4uOMR1OgoHma+2ZTmdjD5ZhmY1zsADsbp5hpVo7k+HJ4pHRD7Ll4lk+XvoiXm8us+5+GNNMrc+XtiyY8BAfvbuE+V/9dqJDaWbOuHt4f/Ev0TMmSWGuJCf/d4SIg8k9hnHPQ3/EhlfeYNvazR16jpWRhr+qrvGxw+vAX3f9jrNSSCl7kbKG9BrL5MF34XVFyroP9bo4uu80R/edTnRoXYLhcBLyN+/BMiwTOxRq8vP1dbCQpqZbmpBfzKKxj5CT04dlb/+aNZ+8h9Z2+0/s5jyeDCynhz3b9yc6lGaUUuRMmMiGtz9IdCiiHZJgCREnDpeb+x7+Y+pPn2Ldm++2mxxZGR78NbWNj51pDnx1geuv5zQI+OWDUKQuryu92eOWidah3SfkYrENgz35nDxxvtm2pnPYmiZYSqmUn4PV3U0u7M1j4xbh9eby3uJnWP/Zxyl/A++ecQ9ybs+6RIdxg+l9JuCvuECwSYEtkXwkwRIijpRS3D3rcVz5+ax85jeEA4E2jy3zDuDwqXONjx1eJ74mPVgOp8LvD8c0XiG6omuJls9XxftvPcfy91/D11Db/hNTiMPhJhxqu/0xzCYJllQRTBnTSgby2LjHME0n7y1+ms1rVic6pISxHE68uUXs2LA10aHcYM7sRax/dXGiwxA3IQmWEAkwc9B08qfP5LNfPsvuPYdaPcaZnk6o5voQQafXgb9JD5bTZeCXHiwh2jShoJjHxj7KzL5jWfXJW3zw1nNs37Ap0WElBYfTRTjob3N/8x4sqSKYSpRSzCobzmPjHiMYbGDpm79k2/qNiQ4rIRaMXEjFgS1J15vnzcpFORzs2vlFokMRbZAES4gEmZQ3iHsf+WMq161hy8r1N+x3pacTqrk+BCDsHMXhyus9Wk6XIiA9WEK0K9Obw0Mj7+HBkfdTW1vJe4ufYfUn7xK6SQ9Od+dwuAkHb9KD1WKIYJJdX4o4UEoxr984Fo1bRG1dBe8tfoadm7clOqy4MgyD7LJBbFmZfD1582cs4uL6pFhuTbRCysUIkUCWw8l9D36XFRveYe2ri5n+5KLGeRAOr5dQ3fUEy+F147sSbHwsPVhC3BrLtLirfDIAG88f5+OlL0X/3lpfP0sphaFMlGFiGBZG9LtluXE4PPQb3AeXy4vLnYbT6elS63A5HC7sVnqwDMuKfjexw9d7sLT0YKUsQxncXT6VUDjEJ4fW8f6S7fTuPZkR40ckOrS4mDdwBktWPIdtz2xc2zMZWE4n3t592LJyPRPmTEt0OKIFSbCESDClFHdNe4S1Rzfx2S+fY9Z3v4nlct1QgtXhdVNd3yTBkjlYQty2KUV9oajvTY+xtY1thwnb4ej3ECE7hD/YwMGaKg7u+YJgsIFgsJ5QqO3hdgCW5cLpTMPp8NJnUB88nnTc7nRc7vSEXLQ5HK7GHqyiBfc0bi95fA4Arqx0Rv7BMACmzc+mND0j7jGK5GKZFvcOmU0g5OfjA6s59fYWZt29iLS0rESHFlNKKQoGjWfjsmVMu//+RIfTzJwxC3h/ydPYM6dgmMmT/AlJsIRIGjP6T6Y+fxArX/g9c//4D2/Y7/C6CdY178GSKoJCxI6hDAzTwDIdN+xruvhxe7TWBEJ+fIE6GgL1HDx8mkCgjkCwnmCwvtX5HdlZpYyfPgOn03NH76EthmE2VlhsbT0dpVRjj5zTZWBZcvEmIpyWiweG340vUM/HK94BFHMWLMLlTkt0aDEzq2wsH15KvtLoSilyJ0xi49vvMe2xhxIdjmhCEiwhkog3K6fNxQMdXjeB+pZDBKUHS4hkp5TC5XDjcrjJSsujKKfXTY+37TAbzx1l5UeLCYX8WJaLvLz+jJ0yOamGKInU5nZ6eWjkvdT6qln+4es4HG5mL1iEw+FKdGgxUTRsCkeOVjCgf49Eh9LMtN7j+GDXDgJ19TjTvIkOR0RJgiVEF2FYVuOcCIDT5jTC1euAgsQFJYTodIZhMq1kIJQMBMAfbGD96S/46N3forXG681h3JSZZGbd4d++TKsSnSDdnckjox9g68VzfLz0JbzeHGbd/TCm2b0uMcc4c9kRuJzoMFo1Z/ZjrH5tMbO/841EhyKiutdvvxApxOGyCNTIFZIQ3Z3L4WFu37HAWACu1l1i44bVNDRcRSlFXt4AJs2cldggRcobn9+T8fkPs/nClyx7+9dkZhYzY/793arXdYwzlx1J2IvlzczGcLnZtWM/o8YMTXQ4gm6aYIWCAXZt3ErV2WOEgz4c7jRGz5hBVmFJl6ryJMTNWC5L5mAJkYKy0/K4Z3AkobLtMO/vW86uzdsZNWnsrb2QfByKGJhU2JtJhb1Zf/Yw7y95hrzcfkydu6BbXX8l41DB+TMeZeW2j0ASrKTQLRKsoN/HzvWbqb7wJXYoiGFaZBT1ZuH4B3G5vNTXV7Nm6wbqL3+EMgyyivszdsZUTMeNE5eFSDTD4STk9zdWErRDocbSyU1ZTrNLJlhKKQ9QprU+mOhYhOjqDMPkvmHzeWv724ycOOa2LmLHGD3YcbqCwaXdY7ixtDHJYVpxORSXs+bkPt5b/DSFPYYyadbsRId1x5J1qKDpcJA3cRIHTld2m7/lrqxLJlj++lp2rt9MbcUpbDuM6XCS2bMf9096DMvhvOF4rzeThaMWAhAOh1jz5VZWvfF77HAIT3YBY2fPwpuZHed3IUTrrPQ0/DU1WC4XVoYXf009npzMG45zOC3qAl1riKBS6gHgfwFOoK9SajTwE631gwkNTIguzDQsevQYwvrPPmb6vIWJDiehpI1JPjPLhqF7DWXliR0sffOX9Os7k+Hjh9/Sa4TDIaqrKrh08Qznzhyib/8xlJYltqemtV4srXVCe+rGGD3YYVck7Pziug4lWEqpfwb+TWt9Nfo4B/hLrfXfxjC2VtVeucLGD94js7g/D0x78pYnUZqmxZx+k6FfZLHJq1fOs275JwTqqzEdLnLKhjB6yrhu1ZUtuhYzLR1/dQ1p+flY6R781XWtJ1hdc4jgPwATgVUAWuudSqmbL0YkhGjXrLLhLN62hGDQf1tV3MJ+P+f37OXCxX3UXW3ADofJLqzilOsoR7MqKMpU1NYESEt34PZY9Ch0M3JMLg5H0s2v+QekjUk6Sinm9h2L3Wc0++saOLrvNAD9h7W/3EF1VSVHj2zl0sXT+H115BeUsX7NawwbOYfhI+fEOvRWtezFaqip5tKpY9ReqcRfX0ft5QrKJ86moE95Qq4nO9KLFairo+rkKeoqKwn5AwRqaymdOIHMkuI4Rdm9dTQ7uUdr/f9ee6C1vqKUuheIe4KVlZbNA5Mf77TXy84p4v6JjwLg99ez+shGVrz8G5RpklM2hLHTJrZZNluIWBiaUcqB46eY2K9vpAerqrbV4yxnl0ywglrrqhYfOF2rG06IJNW3zzQ++/ANFjz49Vt63un9Ozm4+DnSsjKpOncGT2Ya4UCIhitVuLxOCAeB06SlWfj9YUaPzcWyDI4fq+Fv/2kMc+7qGZs3dHukjUlihjIYnh5ZL2t/vb/dROvSxdNsWr8YrzeL8oET6d13FAA9i8vZt2dlwhKsaw4fPkfDic2cP/oF7vQM3OlZOFxuvJk57PhoMcNn30fJkFFxjam9Xiw7HObwR59QsX8/ltuNw+NBKUWgvp6Lhw4xbNEj5A0YEMeIu6eOJlimUsqltfZD4/jmbrfQgcvl5e5h82AYhEIBVh3ZyIrfP49SJjllgxgzXdYgEbHnTsskdOkYAGWeARw5dYDCkeU3HOdwWQS72BBBYJ9S6itE2pRy4EfAhgTHJES3MC6viHPnTHZ/vpORE0e3/4Ro87Hprd/S/09+yKnfPMPI//hzxgwbyOIn/1+eeOk+3vnu+6S5FEGfYuWW+2ioD/Hw3StYsfEeKit8fH3RqmRLsKSN6SKGeiOXkdcSrZZJVjgcYsumdyno0YeJUx5u3H750hl2bPuQ0l5DEjokb4wzl8+ObKTm1DGGzbmPHr3LcbivLwy+48M3OXtoT9wTLLj5vMoLe/dRsX8/fWfNJG9gOZ7s7MZ923/7Ime3bZcEqxN0NFv4PfCpUuo7SqnvAMuBF2MXVuJZlpP5g2fx6Oxv8eD0pwgH/Hz6++dZ8bvn2bpqHXZYFnhtSds2vtrqRIfR5bnSMwjVRnqtXBkZhGobru/U1xMqwzIIhbpcgvVnwDDAD7wKVAM/TmRAQnQnC4fM4cSXG2/pOUoZKNOMJFymScgfQNs2IV+ItCwP4bAmM8tBwB/G4TBwuQxs2yY3z4VSkXknSUTamC5mqNfFUK+Lo/tON/ZoAYSCfiouHG9MrmpqLnHyxB6OHN5Cj8K+jB53T8Knc9ScP44vqCgZNBKH24MdDlFffZVT+7ZTcfwQuaV9EhrfgdOVN2y7sGcvaT0KKJ04oTG5CtTWcvHQYeouXiS9sDDOUXZPHerB0lr/D6XUbmBedNM/aa0/jl1YycU0LeYNmgGDZhAOh1h1bDOfvvICANml5YybORWjmy2odzu2f/gGJ3dvQWvNxIe/QenQ0YkOqUtyedIIN9QD4ExPJ1RT32z/tTt2SimS67qmfVrreuC/Rr+EEJ3MMi0K8svZ8NknTJ17902PVUYkURo2+152PPs0WQUF7PurX1A5sAzT5eCVJxeTX5pNTZWivsbHD7+7gWNHahg3MZ/fPH2ID949xeNf6Zfwi9ympI3puhp7tJoMGyzq2Z+P3v8FluUgM6uAmupLeLyZlA+ajGlaCS8qMXXgND5Y8Rs2Lfkteb36ocNh6quv4qu5St8xU+g7ekrCYmtrqGDxmNHseXMxe15/g6xevbDDYXxXq6g5d47cfv3oNXlSAqLtfjqcFWitPwQ+jGEsXYJpWswrnwbl07DtMKuOfc7K13+Ptm9vLoxhmhgOF6bliHx3ODEsJ737FGI5XJFKck43pmVhmFbkeNNEGWZSfagd+XwNZw/u4ZG/+d+c2redAxuW35Bg1VdfxenxtlrpUVynDKOxp8rh9RCq9zXuc3gc+OsDuNO65ghdpdR73DgfogrYCvxKa+278VlCiFsxu88oFm9bTCgUwLLabm9Nh5OQ38fgaXdRNaQ3njPHCX/pJnypBndWBgVzPLjDJv3Hl5GlT9Fw1WDytB5kZDpQSvHTX02h34CMOL6z9kkb0/UN9boahw32LrkL5arE56vD6XRT0msIJaWDG49N9HVQQY/e9J+5iCsnD1BdeY6Q348nM5uyERMoHjQiobFd07LgRf7gwYz4g8c4t3M3l48eI+T348pIp3jsGErGj0tgpN1LR6sI1nC9wXICDqBOa31jabPrz3keuB+o0FrfUI9TKTUbeBc4Ht30ltb6Jx2OPAkYhsncAVNgwO3foQiHQ4SCfoLRr2s/f3HiAnYoQDgYwA76scMhtB1G2za2HUbb4ev/R1prX262rzW6+bFKGZhONxmFvckq7gfQ5qJ6vroaLp46yuDpkbulLm86DqeLhpoqPBlZQKS0/u7l73Dk81UU9C6naMBQBk6eg0fK499Uyw8Ph9eBv+56gpVEOXZHHQMKiAzdAXgCqAEGAs8Brc7O70B7ooCfAvcC9cC3tNbbo/u+yfWCPP+f1rpbD28WAqBP72l89uGb3P3AV9s8xrCchAJ+9q1ahjlrAr6rVfT5zv2MKC1h+6/fYdofFzI0t4QPfraKv/oLixJvlyjGJ21MN3B9fhboUCnaX8ng0c0X0tbaRimj8XuiDPf24OjIHpQPLMYwzWb7Et3D1lovlmEaeHJyGPHE44T9fkyXq1nc2raluFsn6OgQwcZbVNFG5iFgcjtPewH4OfDSTY5Zq7W+vyMxdFemaWGaFi53WrPtxQxKUEQRtm0TDETm/rickdh2HG29Kk3N+S8J+f0U9h3U+FynN52G6quNCVZD9VUsh5NpT36fjPweXDh6gLqqy3gys6mqOMepfdvoWT6cvASPV052zjQHvjo/WSTXXeNbMFVrPaHJ4/eUUlu01hOUUvtu8rwXuHl7cg9QHv2aBDwNTFJK5QJ/D4wnchthm1Jqqdb6yh2+DyGS2vj8nrx3fjd7tuxmxISRrR5jOlyEAn569CnnvGGSN7CchuiFVcHQfiijHqUUvUcUo9SReIZ/J6SN6UaGel0EQn4+OLwTz+5cTNOi/7BS6uqqSEvLuu1lCTrTubOH6ZlVwLETrhtuRCe6h+2alr1YZ7Ztp2jECLJ7l91wrCRXneOWJw7pyGzWd5RSfw/89U2OW6OU6nMHsYkEMgzjhqRvjDO31WOPBY7zeVUdFdUGFdUVVB7+knAoSHru9T/m2isXqao8y+Dpd5GeW0B+r36N++qrLnNq3w52f/I2kx//Dv3GTo3Nm+oGnGlO/HWBRIdxJ9KVUmVa65MASqkyID26r8031oH25CHgpWj7tEkpla2U6gnMBpZrrS9Hz7ccWMj1u9tCdFsLh8zh3Z1Lb5JgOQkGfJQMGUWFXUHxmNEct44T8gcpHFVOoG4rdUYDI+YOAq4nWMGgjcNhJPzufBukjelmnJaL+QNn4HW72FNdzZuv/CMebyYeTwYaTW5eCQF/PT2LyxvLuMdT//LxmKZFhR0pTmWHw/hqq6ivvkpD9VXscIjeIyfGPa5rrvViNS14ERwwhLPaIjv6WNs2gbp6/DXV+K5WYbld5Pbr1+rriY7p6BDBR5s8NIjcqemMccxTlFK7gLPA/621bvXuklLqe8D3ADIy8zvhtKIz+Xx1eANBxjhzqau9Sqi2jjPaw8mztUCkwblyvobayxdZ8dy/UTpsLGPvebyxMEhhv0HM+MqfsPW935OZH6leI13UrXN4HRyqOEcZXXYhwL8E1imljhIZlNoX+IFSKo07q0xaApxq8vh0dFtb22/QtJ3J9ObcQShCJAeH6cQ0256DpUwLOxRix4eLqR/WD0oLuLrzEMvf20hd5RUsy0+6182URWN4cdUhLp07yKNP9OHIoSosy0Br+P6fD6asd3qb50gAaWO6oQxvNgBOZxqBQAOjxt7NwMFTqKurYv2aV/ny2C6+PL47IQmWw+Hm/LkjDCsoY9/RCorzLba9/xqWy00o4OfUvu2UDR+f0GuaMUbznrWQJ5vNZ/ewH8XQPj2pOXeeQx99hOV2U3ehgvqLl7jrn/8pQdF2Dx39v/1Ak68FRMYzP3SH594O9NZajwL+E3inrQO11s9qrcdrrcd7PF12aFS3lZ6Ri8Phwu+v5/ChzVysPMnsYXMZ48xltCObMc5ccsoGMezRv6D/Xd/mwunzbFtzfVkSw7SoqjxL0NdAbkkfQLqoofXSx2FrDIH6rtuDpbVeRmSIzY+BPwcGaa0/0FrXaa3/I8GxXW9nXEl1wSjEHWi/h+nswd0YlsXeN5dQ+ek2as5W4Ltag7IMzh6q4J3/uQKXW/Hc76bhdpt88O4pioq9jBmfx1//+RZsO3nKmUob032F7RAAs+d/i21bPuDL47tYteK3BAM+5tz1h9z/8P+VkLgMw2DT+sWEgn4AvFm5XDh2kPxe/Zj+5B+TXVjC5TNfJiS2toQDAc6+/y5D+0TWsPPk5vLl2nXkDRjA0EcfJthQTzgYSnCUXVtH52B9u7NPrLWubvLzMqXUL5VS+Vrri519LhFbpb2GcPrkPn7/wl9TWNSPydMewzBMAoEGnE4Ptm1fH15YkEvI+znnj+zkSFmkEpAdCnJu30HScvIxTDNZh53Elel2E2powOH1Ntvu8LqpPR9MUFSdphwYBLiBUZFy8/pmczU74gzQq8nj0ui2M0SG8DTdvuoOzyVE9xC9iWNYDuxQiDPbttH7vzzO+V+9S+6AUg6+/RnKMLCcJkcP1FNbF+Lr3xnAv/zDTr727f7k5Lr43W+PJONyEdLGdEOmYQFh7HCY2prLrF31eyZNfYwehX1Iz4jMz0oUheLq1QtQEBlllVvSG3d6JsowyC4q5eKpY+T1Sp4iMfs99QSrqwj5fFhuNw6Pm8zSUvIHDcSTnY0rI5OqUydlmOAduOlvo1LqP7mx3GkjrfWPbvfESqki4ILWWiulJhLpTbt0u68nEscwTKbOeIKpM55onHC6f+8aTNNi0JCpHD38OUoZ9Ok3hnAowNnTBxg9biGDo0lXXeAqRy+dJ71HL44crWisCNRW1cJUYKal46uuxuH1okyDcDCE6bBweF0E6rtughWduzkbGAosIzJxfB03L4bTEUuBHyqlXiMyAb1Ka31OKfUx8M9KqWvjce4G/uYOzyVEt6GUIiO3gKq9ezBMi8oVW3FmeOk9cxzVx/ZjBqDyyytcOBPgx9/bxIw5RYTDmu1bLtGnXzpaX+ttT46bYtLGdG9nz+6k4tJOygdO5MqVc5QPunFu07XRH/G8UVtU3J91u5ez8I9+ROWXR7CcLjwZ2QAMmjafYEP9zV8gAfJKSzi+eg3lC+6mYv9+0gsLCdbV4cnOpv/d80mWv+muqr10f2v0+zQijdXr0cePA/tv9kSl1KtEGrl8pdRpIlV2HABa62eAx4A/UUqFgAbgSZ1ky8GLW3etms/Q4TOvb3N62LNzBZ9vfAen0035oMn0L79e5MmyHKQHgkwqG02eM7exB6utqoUAp7atIBztjm/UVmn6Jr9VhmlhWI7GL9PhxHS4KOtThMPpxnK5cUS/LKcrYUMVrfR0/NU1ZBQVYWWkEaipw5ObhcPrJljXdRMsIn/3o4AdWutvK6UKgd+196QOtCfLiJRPPkKkhPK3o/suK6X+CdgSfamfXJuMLoQAUExa9C2WLXmGqlOnCB8/Sk7vYlb/w6+Y+qejGdSrmEBDkN/91WKqq4K88+aXpKVbPPfLg5w7Xc8//o+xWFZSDemWNqYb69lzJKMmTiIzq4BLF0+ze8dycvNL8TXUUNCjD+FwkNy8VqfAxdTQ4bO5sHcFb/7jDwkFA4yc/xD5ZZHen7zo1IdkM/iB+/hy/Qbe/eMfoG2b0d/8OpklkX+7simTbyg5L27NTROsa2s5KKX+BJiutQ5FHz8DrG3nuU+1s//nREqiim6uT99R9IlOPK2uqiQzK1Jd0NdQy0cf/ALTtKituUxefilw/a5TW1ULAcZM+YNbjkNrTTgcIhwKEIp+BYMBQkE/+09WEg76G7/soJ9wMIDWLRaQ1pH/GKaFJ6cHg0YMIbOgJ5azcxdPHpbRi33HT5I/sBwrw4OvKpJgWR4XQV+XTrB8WmtbKRVSSmUCFTQfdtOqDrQnGvjTNvY9Dzx/O8EK0b1FFzR3uSl78isM/r//nKP6MCV+TXqPHLJzdzMkK1JQ56v3jsPT0JOc3KRf5FzamG5MKaPxGkJrzeaNbzNl2mNUVn7J1SvnOXF8F/V1VZQPmsyU6Y/FLa6s7B6Ujp3LlHvvx5t147VL0O/DcjiTYn75DrsiWrK9gIziYoY8+CDphddHDAVqa9G2jSuzzaVuRQd0dMBqDpAJXLsrkx7dJsQtudYwArg96YydcB8nj+/m6pXzLH7tn5i/4I/IzimKybmVUliWA8ty4KJ5CfoiBtzSa4WCAa5ePc/2PQdouLoGOxTi2sWK05uBJ6eQoaOH4c3Ova1hCu70TELnIhUYrXQv/uq6yHswjGSc73Artiilsoks+LmNSJnJjQmNSIhUFm2eag4d5PP33kIPzWXwI/M59P4a8B3CO1+TW5zF9mPVnNrTwPlzDdRUBeg7IIP5C0sYPDQr2ebMShuTAmzbJr+gFz0K+6K1Zs78b/PFvrWU9hpKdVUlaWlZcY/JtJyNyVXTueQ1lypY/9qzjLr7UXqWD417XDfjyc7m4qFDnN22jew+fXBlZrD3jcUEauvIH1TO8D94PNn+vruMjiZY/wpsV0qtItIczwT+IUYxiRRS1ns4Zb2HM332VwiFAgldjf1WWA4n+QVl3F3QfJE+rTX1dVV8XnGQ7atX46+tQpkmc5/42i3duXKnZRCqiyRVvb0DOHJqP0Wjyjv1PSRIJpEhxquAj4BMrfXuhEYkRIq6drPmi7Ufc27bKqitwVGVw8aj5zixejt2MMCmX27FFV1/78mv92Xi1B78+z/vpaxvOn/94y3Mu7uYP/u/hybTRZi0MSnAiH6ejhpzF58tf57q6kpCQT8ZmfmMGDWXwp63dtO0M1z44nPS6U9R/yHYoRB2OEQwEJnKoLXNucN7E55gXe+9ijizdRsH3v+AHkMGc2T5CgI1teSV96f3jOls/uUzlE6cSE7fPokLuAvraIL1AhAmUvb0H4D/BsSmm0GkLMvq3GF2iaCUIi09mznpkxq3rTu7l09e+BXzvvaHWM6ODa+xXG5sX2SpOWd6OqFTDTGJNwF+A8wgsjRDf2CHUmqN1vqniQ1LiNSkUJw7vI/CufNo2Po5eU9Mo/LlT/DkZJBV6iDdcnHmYAWmCjFrXk/mLyzh5d8c4Ymv9ePHfzWc+VM+5I9/NBiXK2nma0gbkyKOHd1OxfljaNvm8qUzTJ3xBFlZPbAckWuJeFck9lVdZN+qA3jSs7hw/CC1lyqouVxJyO9DKUV6bkH7LxJnX67fQO+pUxhw910ALP+v/42sXr3ILC4ms7iYK8ePS4J1mzqaYP0SsAGP1npptFrOEmDCzZ8mhJhePJxNbi/LX3qW2X/wdTyZ2e0+p+mHgis9nVBN8lUguh1a65VKqTVE2o45wPeBYYBc/AgRd5EuLNOyCDX4UKZB4FI1hmUSDoYINiiCThPDNAj4bC6ci9zoCQXD2GHNuTP1WJZKpt4raWNSiNPhxrKcTJv5JDU1lxrncV9LrOL9e5ldNpjdS36KYZgYloOsHsX0HT2ZnOIyMvISXxW5Ze8VgDMtDTt8fa55RnFPvly3nrM7dlJfeZHSSTdWaRQd09EEa5LWeqxSageA1vqKUqrrdzcIESeTc/sxds63eXfxSxSPmM7ICSM7/FzL4yHc4G9zf1daN0wp9SmQRmROxFpggta67XKRQojYUoreoybx+Zr3yMnP5eh/vklaTia+q7XUXwwS7JmF5TCxHAb/459288//sIvBQ7P4b3+1jeNHa/mHfxmD05k8Q7uljUkdpWVDKezZH4fDRSgYaNyeqM/D9IJSTMti1jd+1GoFPm3bSVHkoqnSSRPZt+Qtrpw4jmk5ACi/ZyGXDh2mbMpkiseOSXCEXVdHE6ygUsokertLKVVApEdLCNFBTqebRfO+w7trf8/W+hrGz5rWoefd7MPCshTBoMbp7BoJFrAbGAcMB6qAq0qpjVrrbjMGUoguIzoHq8+oSZwvSsdbcRrnxDL6lvYkvUc2umYL+WEv/ceWMa10Lad3pXHudD0er0WPIjejx+YlNv7WSRuTQhwOF1rrxmGBiWQ6nIx/8KuEgwEM04Nt2yhoTKoSmVy11nsF0GPoENyZ3+LiwYPYYZuyqVNwZ2VSNGJ443pi4vZ0NMH6GfA20EMp9d+JrDPxtzGLSohuyjBMHp75dZZtfYcNH3zA1Pvuu/UXadLoOV0Gfn84qe4g34zW+v8CUEplAN8CfktkPmfS134WoluK3ptxFRRQPmYox63jlBVELsTS3ecZnNmz8dCJk5NvDklL0saknmQawTF42nwMM3JpbSRZb1VrDNMku3cZWb1KGxPARA2x7G469H9fa/174K+AfwHOAQ9rrd+MZWBCdFdKKe6b8AiG5WTlG6/c0V0ip0sR8HedzmSl1A+VUq8DO4CHiKwdc09ioxIiVXW/O9TSxohEupZcdTVNe9ckseocHf5N0FofAA7EMBYhUspdQ+ew+uR2Vrz0a+Z+9duYVos/R2Vgh20Ms+37IE6XQcAfjnGkncoN/Duw7drC5UKIxFF0u4spaWOEEAmX/P2XQnRjs8rGUjRiGstffAZ/fV2zfVaal2Bd7Q3PUYZBOBRJqhxOhb8LJVha6/+ltd4sFz5CxMfN7kZ3xzkW0sYIIZKBJFhCJNjUgoE8MPNrrHzlt+zdcb2T2EpLw19Tc8PxzjQH/rpIxaRID1bXGSIohIivdpMoGQ4kRLd34bMViQ4h5UiCJUQScLvTeWTedzi7ew07NmwFwExLx18dSbAMyyIcCALg8Drw1UXKtl8rciGEEHfi4vq1ANQeOsXVE2cB2LNkPwDHd55m77Ybb/YIEW/Hjq9JdAhtOr9/U6JDaJUdDqFD0qEbb5JgCZEkLMvBo3O+zcWjuwAYnlHG0eOnI/syPPirI0MInWlOfNEerMgQQenBEkLcnmv9V8Hq6sj3mnoCdT4A6i5GFjgP+kMEAt1vOKHoeoJBX6JDaJOv+lKiQ2hV0OfDcEkRzXiTBEuIJKKUaqzm407LIFQXSaqsdG+TBMuBvzbSg3XWmsa5mrOJCVYIkdRsbaPUzT7mW0ma2hhSmO8s6pyghBBxFfDVY7rdiQ4j5UiCJUSScqVlEIoWubAyvBw8GenNClmjOFx5PrLdZckcLCFEq8LhEIZh3vygVuZg3bhJeq+EaFeS/pkEfQ2SYCWAJFhCJCnL6UQHI/OuygvH4MhMByC9MBdPrid6jCkJlhCiVWE7hGHcZDWWW7gglFoYQnRNQX8DhiRYcdc1V0QTopu7tpL6NWn5+XisyCTz9KI80t15ADhclsyNEEK0qt0EC6D7rYMlRNxprZP2T+mL+nP071OS6DBSTrfvwQqFAoRCwW653ofoniynh6CvoUPHOmSIoBCiDe0lWLqtLqwW3VXy8SnEzUWG4yZnn4Xt8+HweBIdRspJzt+GOxQKBdm0egVXr57CNB0oZWLbt1ai0jQsPN5cBg4fTFZ2IW53+k0XbBSiszg86fhqq3F6vO0eazktAn65+hFC3CjUgTlYN3ystZJN9TE3gerZiZEJ0b2EQn4MhzPRYbQq7Pfh8EqCFW/dJsHSWrNtw0YqKr4AoEePITw6ZtxtJ0XBcIDqusvs/uIY9Q1bCQTqm+13uTLwenMZMmoYaek5WJajnWpNqePC+WN8eWI3gwZPISu7MNHhdDkOTxq+uhoyC9qv2iU9WEKItrQ/B6v1mzMqWcc6CZGkQqEgpuVIdBitCksPVkJ0+QSruvoim1Z/RCBQT3Z2Lx4YcS+Weedvy2E6ycssYk7mjRe5Wmvq/DXsvHSOXVs24/NVY9uhxmGISqk7GpKolMIwLAxlYhgWyjAxDBOlDAxloJSJMgyUMhq3lfQtRBkGRvRYQxmNj5UyMK4dbxgY0edf22YoA8O0MDvh323H1g85fmwHWdmFLFv6M2bM+RqlvYbc8eumkmEZxew9cooefcrbPdZyWgQD3T/BUkotBH4KmMCvtdb/2mL//wHmRB96gR5a6+zovjCwJ7rvpNb6wbgELUSChe3wrVcRbO2zK0U6yaWdEbcrFPRjWMnZg2X7/VhS5CLuumSCFQg0sGHlx9TWVuBxZzOvfBpeV3rczq+UIt2dyfSSzJi8vq1twnYI2w4TCociP2sb2w6jtR392cbW4cafj5+oQNs2Go22I9u1tiF6PFrfsE1rjdbhxu+2HW4lGk1Zr0l4PNkA9B9W2mbclRVfcub0ASZOeYTSXkNYt+oVzp45SGmvITcUbRBt83gyCF6IlGdXpkk4GMJ0tP6najlNgt28yIVSygR+AdwFnAa2KKWWaq33XztGa/1/NTn+z4AxTV6iQWs9Ok7hCpE0OlbkohWtNNXdvfmWdkbciVAogJGkPVho3bi+poifLpdgVVdd5rMP36CocDgLBk5LdDgxEelRcoIJrg7+vfaKUSxNe+UA9u87fcMx/YeVYts2Z059QWZmfjShsnF7MnA4nM2Sq6Y/2x25u5qCPN4MQr7oAsNp6QRqa/Dk5DQ7RmuNbdsopbDt7p1gAROBI1rrYwBKqdeAh4D9bRz/FPD3cYpNiKTVkXWwZDhgI2lnxG0LBQOYSdqDJRKjyyVYWZ5MHhp5b6LDSBkte52Gel03HLN/32kCgTpOHD3CsFETAKirq8K2Q4RCqtlrXPt5355VrFv9CnPv+i7lgybG7g10QQ6Hm5DfB4CVnoa/+nqC1XClhsr9x/Cf28PO89sJ+kNUHavi7TdOMGhoNgMGZuJ0drs7VSXAqSaPTwOTWjtQKdUb6At81mSzWym1FQgB/6q1fqeN534P+B5ApjentUOE6FKONTTQu/wmt99aGQ7Y7W/XtC3m7Yy0Md3XFw0XMRxJ2oMlEqLLJVgi+Qz1uvBZYXZXnyJYN4+j+05z6dJRanyXGTxkKgBa2yhlcLHyJGdPH+TQgY3k5pWSnd2j8XWuHZPqmiakZlo6h4+eZELvMq5uP8iyFz7EmeGl+uRpMnPTcTgtrpzx8ZunD6GBx7/Sl29+d0AqD8d8ElistW463rW31vqMUqof8JlSao/W+mjLJ2qtnwWeBSjKLUvh60zRXWg7fNO5tRpaX7tHyrS357baGWljui87FKTvzW5miJQjV7OiU9Q0XMVhuhiTk88gt0VF5UH8dVB/1cPRfadRyuDM6QNs+/x90jNy6dV7OD17DiCzSYIFirNnDvHe2/+b6qrKhL2XZDIio4xQXWS44InfvM9d/+vHBGrqefL3i/jHFT/ib5f9gCf+qIirV/y89OYsfv2LA9TW3tqSBF3AGZqPgi2NbmvNk8CrTTdorc9Evx8DVtF83oQQ3VbYDmGa7d1V70CRC7r/HCyknUl6oXAwadeaCocCmElapl0khiRYolPkZhSSlZbLCyv+J+9//jJeu4GFQ+YxPD0NgO0bNrPsnZ/Tq+cc+g0Yx4XzxyjsOQArOmbZ769nx9ZlbFz7BnV1V6mqqkjk20ka7rQMQnWRgheGy0Gwrh5lGvhrA9RdqefiqStcOOOnqNjD6ZO1FBZ50N1vTtYWoFwp1Vcp5SRycbO05UFKqcFADrCxybYcpZQr+nM+MI2251QI0a3Ydqid6rApm0y1RtqZJFfTUIXHnZXoMFplh4JYkmCJJpLzVoDockzD5N4JX+XouX0EQn4GlY7mZMVh8jIKGerN5mRtmB2E2b7zFQ4eyqe+oQYVLMI0Lerrq/n04+co6z2c4tKBmKaT3NySRL+lxIpe4LjS0glHe7CKH53F+n97GW9eFu/9+CO29cnH6XFwctdVJk0u5J/+diePf7Ufaendaxy41jqklPoh8DGR8snPa633KaV+AmzVWl+7CHoSeE03XyNhCPArpZRN5IbSvzatCiZEd9beEEG4cZ5tq6+TAmMEpZ1JfnuvVOBO0gQrHApgOW+coy5SlyRYolP17zms8Wdb21yquUCGN5uyHuX84L6fcP7KKd7//GUu11RwoeILznyyk5qaC/QoGM+osbNY89nLpOflkZaenbg3kUQM00LbkXWu8qePInt0OWmHz1FzbDOhs35CwTClvd1Mmd6DBfeXUljUPRcT1FovA5a12PZ3LR7/QyvP2wCMiGlwQiQpu70hgq3lTW3kUqkwr1PameTm81UzYvy4RIfRKjsoQwRFczFLsJRSzwP3AxVa6+Gt7FdEFvS7F6gHvqW13h6reET89Su6vsBw2A5hGhYFWcV4nF6emvVDstPy2XJ4JZXnd2GaFqs+ukxdvZ+stFyAlF47SykD27Yxmqxd4VuyF6b2pObcRcZ+fRRj+/YH4POfP8vXvzOgsWS7YaTmv5kQorlwB3qwWidtiEg+Db4q0tJzEx1Gq+xQMCl7sFKh9zlZxbIH6wXg58BLbey/ByiPfk0CnqaNkqii6zOjE1Ov1FbSu8dACnN64bRczB31CMN7T2Tr4VUcPLEejyuNoqLhHG1lva1r6uou0dBwmdJ+RRimhWGYmNHvluXE4XDhcLgxLUeXTdAst5dAfS3u9OuLWecPLOdKWoiC4f0xXZcAootEX29AJbkSQlxze3OwWindLtdoIgmEwwGcTneiw2iVHQ5hmMm3rmc4GMBwSs9aIsQswdJar1FK9bnJIQ8BL0XHMW9SSmUrpXpqrc/FKiaRePmZRUwfdn0dM9sO0yO7hClDFuB0uHFaLnpZml6trLd1TTUeqvBw/Nh5bG1j2yG0HfketkOEw4HoV7DDcZmGheVw47A8WA43fcrLcLnTcLo8uFxpOByuuCZrDncavrqaZglWwZDB1FrHKehZRDhQweWzV7FDNrZ9ffjOpYt+MjId3XEtLCHELdI6jGm1MyeztXatlW1d9F6VEHGTjDd0A74GTHdyJqXdXSLnYLW2qF8JIAlWCjGMyB2fyqozmMpkfPlsvK70mz4n05tDpjeHzlxxIhQO4g824As24A80cPjIGYKhBoJBH6FQA6FQIHpk5FauUgYz5z9MWnpsFot0uNPw1dZAYfPttUdOs3PHUa4c2oVHOcgtyaYkM8yBfVcZPCybX/yf/Tz+lb4MGZYdk7iEEF2HbYcb29jWtDp8SHqrhLh1yZdbARD01WO4JMFKhC5R5EJWP+/+BpaMok/hYJxWYsYwW6YDy3SQ5o70GBXn3fx4f9DHhyvexenwMueeRTe9iLkdgzx5HDxZSVH/wY3bvly3njObVpKXnUl6QRoZlpvBU/uhv6zg6Z9+wff/fAjnztRz9UrgJq8shBDXtXbXPQlvxAshbkNQerASJpHjiDq8qJ/W+lmt9Xit9XhPO70boutKVHJ1O1wONw+Puo/cvH68t+QZtqxd26mvbygDrcPNtlUePEj2mIGUTR/NlS+r2LvqMKt//znlwyNrja1bdQGHwyAUsjs1FiFEipNeLZFgYTuclEPwkt3++rP07VWU6DBSUiITrKXAN1TEZKBK5l+JrmZyYW8eH/c4DQ1XeX/Js9TVVXXK6yrDbCzPfo07MxPf+cuUTBzGwn+ex8h5Ayku78Ebvz7P+jUVrF15jj07L1NfF+qUGIQQqaetqmNybSsSqc5Xjdud2f6BiZKkNyHCfj+Wp3su35LsYlmm/VVgNpCvlDoN/D3gANBaP0NkrYl7gSNEyrR/O1axCBFLSinuKp+MP9jAsk+W4HZlMHvhomYl1m+VYZhou3kPVv+75nP+1ed4//v/gmn5GD1jEPf/eA5j0j9h6zKDQweu4vfbpGd0r4WGhRAx0lZ5QMmmRJKpabiK252d6DC6HNvnw+GVBCsRYllF8Kl29mvgT2N1fiHizeXw8MjoB9h0/jjvLX6akuLRjJ8+7bZey2ilB8uTnU3/P3uMvpabDO8ORvfqC4Btax5cVAaUyTpYQohb0pFhV1KmXSTaF1cvMmRUEq/lnKQfu2FfAw7pwUqILlHkQoiuZHJRXyYV9mb54U188NZzzL/vq7hc3lt6DcMwbujBqr90iZorX1Jf1IMafzF9nNVcPHmFukA1O30n6dM3g3BYk53jpHdfmasohLg9rVduT9IrSJESfL4q0jOSuMhZkt6ECPt8kmAliCRYQsSAUgZ3D5xKVd1l1q54j/n3PXFLzzcME62b92Bd2LefC7s2YpQU4cpKY9mBs6z/j40MG5vOkX1HmDariKKeHkp6pfFHfzqoM9+OEKLbksRJJL9gsAGXKy3RYXQ5OhTCcMi0gUSQBEuIGMpKy8Xvr7nl5zUbIqgMtG3jcLsBhelyoJRBbr9sJj0ymrTQSTwON1VXA9hhjTdd/qyFEO1rfR2sG7cl6c15kWKSuhc1mUNL5n+3bkyuxISIA61tlOp40QvVZIigMhR22MbyeAjV1GOYBlWnL3Bx7wlqT9Ri6TrCAYVpRr7On6vnoUW9GTQkK1ZvRwjRXbR67dXaGMFYByKEEN1HIsu0C5ESMjOK2Llp2y09x1DXe7CulWzPGzCAtPJSji7fzJert/PlhlNYLpNJs7NY+EAJVVcDzJ7fk4FDsvj047OxeCtCiO5OuquEEOKOSQ+WEDE2pXQIq45tASZ0+DmG2aRMuxnpzXJ4PPR66i5KHpnH1meW4Emv5tHvzWPBiG0Ue/rw4/8ynHOnG/jlT7+gsEgmtQoh2qda7a2S7iqRPFrOR042Wtut/x2JlCYJlhAxlubOxO+vvaXnNJ2DpZSBDl+vKJjVq5DBD85k/2tvsG/NYbznrpCpTCorfRz6ooqyPuncfW9Jp74HIUR31Np8q1a2SZ12kUD1/lpcruStjBsKBjAsKSQhmpMES4g4UEph23aHFx82lNF4106Zxg1rYvUcNxi3cxS1O66wZ0sNRsAmM8vJzLk9JbkSQnRcK71VrZdpj0MsQrSipqEKtzt55xSHQgEMhzPRYYgkIwmWEHGQmVHMzk2fM3bq5A4dH5l3Fb72ADvcPMEyLIus0kzuvnsCpTXv0j+vHy632bhfay2Vg4QQNyc9U6IL2H+1kvJhAxMdRpuCoQCGKT1YojkpciFEHEwpHcyly8c6fHyzIYLmjYsOAxz97DiVJy+TnetollyBlGUVQnTMDU1FazmX5GEigXwNVaSn5yY6jDaFQwFM6cESLUiCJUQceF3pBAL1HT5eKdWkiuCNQwQByu/uT35p85XtG+pDfLLsDDu3X7qzgIUQ3V6beVNrwwZlEr9IEH+gFo83I9FhtCkYDGBYyZdg2eEw3MLyMKJzyb+8EHGilIHdSk9U68eq6+vOKCPSUAKBq5FFi0P+AJbT5OqFav7xR0f53tfXsfrTc6xacY53l3zJO298yU//bV8s3kZCKKUWKqUOKqWOKKX+upX931JKVSqldka/vttk3zeVUoejX9+Mb+RCJLsWiVMKDxuUdiZ53co6kvEWCvqTsshF0N+A6XYnOoyUJXOwhIiTrMxidmz8nHHTptzS85oWubjw4SYo70f9xSpO7zrBiQtHsYqH8sC8i+zYeIl3l5zkl7+dim1r/vYvt/HnfzUsFm8lrpRSJvAL4C7gNLBFKbVUa72/xaGva61/2OK5ucDfA+OJ3LDfFn3ulTiELkRyayOZatlblQo5l7Qz4nYd8F2irHdhosO4QdDnkwQrgZL3loAQ3czU0iG3NA/rGmWY6JZFLkyFMhV7Vx5i3rcnM3JCBj/+L8PxNYQoLUtj2IgcfL4wFRcaOiv8RJoIHNFaH9NaB4DXgIc6+NwFwHKt9eXoxc5yYGGM4hQiadja7thd/w7O10yBaZ3SzojbYocCWEk4Byvoq8eQBCthJMESIk7cTi/B4K0nPMpQjUMEm2xE2+D0Oqm9HJnbtefLQxSXePmP/7GXH/zhBiZPK8Cb1i06qUuAU00en45ua2mRUmq3UmqxUqrXLT4XpdT3lFJblVJbG25x3TIhkk04HMIwzHaPuyFvSoHeqjbEvJ2RNubWdYU12MLBAJYz+RKsgK8B0+VKdBgpq1tcfQnRVShlEA6HMM1b+NNrUlGwcZOhQGumPzGOt/9tOc+evEKg6ir/+n8mkZ3jZMPaCu59sBfp6ck3LjxG3gNe1Vr7lVJ/DLwIzL2VF9BaPws8C1CUW5b8n+pC3ETYDmEY7bQzbV28yrSsttxROyNtzK3zBxtwODyJDuOm7FAQy5l8icyBhnP0K+uZ6DBSliRYQsRRdlYpOzZuZvz0aR1+TqSKYIseLMPADkcSrNIhRYRDYWaV78Cb5iNcmcG3/3ggad2j9wrgDNCryePS6LZGWuumZRN/Dfxbk+fObvHcVZ0eoRBJpkMJFnSwTntKDBGUdiYJ1TRcTepFhiEyRDAZy7SHfT4c3uROTruzbnMFJkRXMLV0MB8fWAPcYoLVYg6WMozGoRN9RpZQe6WeZ1/MRp/bQ4Y7Mq/6/NkGFj3Zh4X3l3Za/AmyBShXSvUlciHzJPCVpgcopXpqrc9FHz4IfBH9+WPgn5VS1+rZ3w38TexDFiKxOpZgtdWD1f2zqVZIO5OE9l2pZMDQ8kSHcVPhJO3Bsv0+LI8kWIkiCZYQceRyeAiFfLf2pFbWwVKGQocjF0cH1h/l/Z+tYtiscqbOz6ZfUS9sW1NbE+Lf/2UPM+YUdeneLK11SCn1QyIXMSbwvNZ6n1LqJ8BWrfVS4EdKqQeBEHAZ+Fb0uZeVUv9E5OIJ4Cda68txfxNCxFmog3OwWo4HTNXhgNLOJKcGXxXpGcm7yDBEhggmbQ+Wx5voMFJW173qEqKLMgzzluZhDTRz8bcochEZNhi5Elr76lbmfmsyoxcMwTAMelofUOzpA8BP/+deDh+sYvTYvE59D/GmtV4GLGux7e+a/Pw3tHHHWGv9PPB8TAMUIsl0pAerrVyqZQdWqiRd0s4kH7+/hrS07ESHcVPatjGM5KsZF/b5sKSKYMIk32+EEN1cdlYvtm/Y2OHjlWlysqL5cirKUI0J1pXz1ThcFoZh4K8P8OXRBj56/zQ/+qONDBmWTf/yzE6NXwiR/MJ2uGNVBDs4GlCl5rBBkWBa2x3siU2gZP3T0BrDlMv8RJEeLCHibErJID4+sAqY0aHjDcNE36QH674fzWbDG9t553+toGRgIYVp53E4Kxg+qpCHHutNRkbKVBIUQkTddhXBVOmuEqKzyJ+MaIUkWELEmcvhJhTyd/h41eocrOsJ1rCZ5RSX96Ch1k/91QaUoRhXtIUJgwd3atxCiK6jo+tgtd6FlaJjBIUQopNIgiVEAhiGSSgUwLLanxirDAN0K0Uu7OsXPTk9s8hpsr/E2sPZhhONc7GEEKnlWEMDvct7tX/gDVK2TLsQt0f+NkQrZHCmEAmQk927w/OwIkME2+7Bas2+0H13FJ8QomvTdrhDhXRUa1eHkk2JJBAI+Tt0E1KIZCQJlhAJMKVkIJevfNmhY1sfIqiwb5JgCSFSW9juQKXSDg79kxGCIhFqGq7idiX3IsNCtEUSLCESwGm5CIcDNz8oelFjGOaNCVYH7zCfbThxG9EJIbo62w5hmh0ocNOyKWmzdvudRiTErdl3pRK3pwskWHIDQrRCEiwhEsQ0HYSC7SRZROdgtUiwOmJf6D6Wv3MJLbefhUg5HRki2NF1sIRIhAZfFYNGDEp0GELcFkmwhEiQnOzebNuwvu0Dohc5kSGC4baPu4mMLJMPVu65recKIbquDvdgteiakhsyIln4fNWkpee0f2CiJeENCfk7TjxJsIRIkCkl5Vy5erLd4yJDBG+vsUyb9hSfr666recKIbqucEeKXLR1EdaiC0su1UQi2HZIilzcpnAwiHLIGpiJFNMESym1UCl1UCl1RCn1163s/5ZSqlIptTP69d1YxiNEMnGYTsLhYLvHRYYI3l4PlmEYFBQ5OXOq7raeL4TomuyOFLmg4/M5O3qcECLxgr56TLc70WGktJglWEopE/gFcA8wFHhKKTW0lUNf11qPjn79OlbxCJGMTNNJMOC76TGqlSIXt6Lswad4+dVdt/18IUTXo3UY02rvDraseSVEdxTwNUiClWCx7MGaCBzRWh/TWgeA14CHYng+Ibqc3JzebNuwofWd16oIms3LtN/q2GpvpodgwMbXcHu9YEKIrse2wyjVOR/xMp1DiNaFwyGUYSY6jBsE/ZJgJVosE6wS4FSTx6ej21papJTarZRarJRqddl5pdT3lFJblVJbG/y1sYhViISYUjyQK1dvvh6WUtcTLGUYNyw63BFzH8jjd29uv60YhRBd020N62sjm5JeLRFPoXAIw2h/iGuihUKBDvQUx9/++rMYLkmwEinRRS7eA/porUcCy4EXWztIa/2s1nq81nq8x5Ue1wCFiCXLtLDbml8VvaAxTLOxTHtriw53RH2/x/jysE8qCwkhmmk9CZNsSiRWra8Ktzsz0WG0KxQMYCRhIQ7b76N/Wc9Eh5HSYplgnQGa9kiVRrc10lpf0lr7ow9/DYyLYTxCJCXLchEINLS5v9kcLFPd9nysYePS+WTd3tt6rhCi+2n1hktr92DkxoyIsz1XKnG7k3+R4VDIj5GEPVhhnw+H15PoMFJaLBOsLUC5UqqvUsoJPAksbXqAUqppev0g8EUM4xEiKeXm9GXr+nVt7m86LPB2hwgCZM96ig2fXr2t5wohuqnWerBa2SZDBEU8+XxXGTh8YKLDaFcoFMR0JF8PVtjnw/JIgpVIMUuwtNYh4IfAx0QSpze01vuUUj9RSj0YPexHSql9SqldwI+Ab8UqHiGS1ZTi/lRVnW5zv1IK9LUES2Hf5ppYpmWSnefgwvm2e8uEEEKIRPP5qkjPyE10GO0KBv0YHVrQO75snx+Hx5voMFJaTOdgaa2Xaa0Haq37a63/e3Tb32mtl0Z//hut9TCt9Sit9Ryt9YFYxiNEMjKNm8zDosUciducg3VNnwef5MXf77jt5wshursbb+DICEERb6FQAKcz+XtgwqEARhL2YNnBAKYz+RK/VJLoIhdCCMCy3Pj99e0ed7tFLq5Jz02jvs7G75eS7UKkvFuoGCgLDQtxowMNl+jduzDRYbRK/mYTSxIsIZJAXm5ftrUyD6vlJHRlqNueg3XNrIU5vPHuzjt6jXhTSi1USh1USh1RSv11K/v/Qim1P7rkw6dKqd5N9oWVUjujX0tbPleIVNbyIiyVe6uknRG3yg4FMJ3J14MlEk8SLCGSwOSe/bnaYh6WUsaNCZZ5Zz1YAMHBj3Nkf/u9ZclCKWUCvwDuAYYCTymlhrY4bAcwPrrkw2Lg35rsa9Baj45+PYgQoomOFbno7qSdEbcjHApiOVyJDkMkIUmwhEgCpmGidfPEKVIxsMVQPsPAvsMeLKUU6ZkWVVcDd/Q6cTQROKK1Pqa1/v/bu/dgOcoyj+PfZ+bccnJy4SJySSDBsEh0FTBqEC/UgixYW6Br1CBeYLEod2XV2trahXLXUv/YVakSWC8rXmCpvQASBbMKAgpxd0Uu4RLIRSQCuySCQDAXyLnOPPtHv3OYTOYkc850T799zu9TdSozPT3dT3qmn56n37ffHgGuA86un8Hd73T3WtV4N8ltIURkH5oP0z5jr8FSnolEtVopTPe26tgIXRFegyX5U4ElEonu7lkMDb44/txK5b0Gv0ijiyDA206fz/d+uK7t5XTIEcBTdc+3hGkTuQC4pe55n5mtNbO7zezdE73JzC4M860dHH5xotlEppdmDVitzTbdZJ5nlGNa89LQLnp747/JMCSDSXT1qAVL9qYCSyQSBx14NPff9fJ1WGYlqpXGAqv9LoIAu45awZYnhtpeTmzM7EPAMuDSuslHufsy4IPA5Wb2qmbvdfdvufsyd182q3egA9GK5G1mNE2lbap5RjmmNbsGtzOrADcZhqSLoK7BkmZUYIlEYvmhi9mx87fjz61cxhuHb0+pwAKYf1A3zz9XiCJrK7Cw7vmCMG0PZnYa8BngLHcfrk13963h38eBNcAJWQYrUiTWQtvUDOkiqDwTiU3bn2fJa+K/yTBAtTJKuUvDocveVGCJRKLUcB2WWYlqtfG6LEutwDr89Pdy/Q8K0U3wPuAYM1tsZj3ASmCPUbrM7ATgSpIfPc/WTT/AzHrD44OBk4GNHYtcJGYTFU5Nrn8pyCUx7VCeicTg0A7mFOAmwzVFuV5MOqsr7wBE5GU9PbPZvXsn/f1zsVJ5r0EurFSiWknndPKBh89n49PxD3Th7mNmdhFwK1AGrnL3DWb2BWBtuHH5pcAAcEM42P1fGMnrOOBKM6uSnFD6orvrh49ITeOPwxnSXNVIeSYeo6O76e2bnXcYrYlwd6lWq2BqP8mbCiyRiNSuw3rbae9Kiqm9ugim14IFcMhhPfx2y24OX9Cf2jKz4O43Azc3TPts3ePTJnjfXcAfZhudSFFN8Otwht4bS3kmHmoVmrqx4SHKfRp4I28qcUUisvzQReza9QxQa63KZpCLmkNPfz/X3/hwassTkWJp+XesfvCK7C3C3WJkaDel3r68w5jxVGCJRMTqmvXNSs0HuagN057CaeW5Bw+wfdto28sRkeJplkFmSmuVSCoi3F9GhwYp96nAypsKLJFIJffBym6Qi5oFi/u4e/2mVJcpIvmpenUSXaxm5IAWEqn6gZ5kalRgxUEFlkikJhrkYrzASulX0CGnfYD/vm17KssSkfxVKmOUSi1cYt2suappE1aEp+llWto9/BK9PQW6R1iEJyM2DT7N4oWH5h3GjKcCSyRSzQa5OJwjeGLbC6mup3/uLF7cOYarb5DItFCptlhgQfMTNTNzmHaJwK7B7fTNKsZNhmNVGRqiu39W3mHMeCqwRCLVbECLZFr6hdCSpf381wPqJigyHUyqwBKJyKbtz7Nk6TF5h1Fo1aEhumepwMqbCiyRSJmVqVbG9pxWKkHK12ABHPCOldz10+2pL1dEOi8psMotzdu8YWpmDtMu+Rsc2sHAQHFuMhxj79mKCqwoqMASidSxvfN5asu2PaZl1YLV29/D8FBF3QRFpoGxdq7BmoC6CEonDA/von/23LzDKLTq8BBdKrBypwJLJFJWKk/QRTCbUZaWHj/A7XdtyGTZItI5bV2DpZMskrP625VEL8ITD16tUiq31oIt2SnQt1hkZik16Q6YVRdBgIGTV3Lvz3dksmwR6ZxKtdJSF0GfoH+Tai6R/VOPD9kXFVgikSqVyrg3G6Y9m6Te3dtFZcypVHTQECmyybRg7XW/rAl+NLZ+Xy2RmaFSGaVU7s47DInUtCuwrl3zVa5d89Wol1mEGPNcT1G3T9rrMGu/i+Bl517NZede3fL8xy+fw813PtLy/DNRUb6fRVnmdFlHTHEn98Fqo4vQJIupc9+zhnPfs2bq65uBnv39lrxDiM7+WoSuuPSDXHHpBzsUzf6NjY5Q7u7JO4yWrPrI+az6yPl5hzGjTLsCS2S6KDW5D5aVSpBhC1PvGz/Ag7/cmdnyRSR7jw8OsvBVh6e2PPWEkk4YHh2ku7sv7zBaNjo2TKlLLVjSnAoskUiVyp0d5AKg3FXGSsbISHbrEJFsebVCuTy1+2BNVEuph6Bkbdfgdvr65ucdRsvGxkYodRWjBUs6TwWWSKRKVsabtGBlWWABvPFtc1l928OZrkNEslOpjk25wAIVU5KPDdufZ8lxS/IOo2VjoyOU1YIlE1CBJRKpUrNh2sslyGiQi/F1vP79rL9/V6brEJHsVKtjlKd68b36A0pOhoZ2MDDnoLzDaNnY6LBasGRCKrBEIlUqlXDvbBfB2np7eksM7h7LdD0iko12uggmGkcWbCsckZYMDe2kf/a8vMNo2aahbRx51CF5h7EHDR0fDxVYIpGyUhmadRGsZH991FtOnc/3f6xugiJFVG2ni+AEv8/UbVCy5l5t88RAZ1UjHEWwMjaKdRVnG05nKrBEIpWMIljda1pWNxquN3Ls+3hsw0uZr0dE0lepVqbeRRBUTYm0oFoZpaunN+8w9jA6NES5rzgjMU5nKrBEIlUqdU0wyEX2XQDMjNlzyuzaOZr5ukQkXW21YDWhbkcie6tE2II1OrSbct+svMMQMi6wzOwMM3vUzDab2cVNXu81s+vD6/eY2aIs4xEpklKT6606cQ1WzVtPP4AbVq/ryLr2p51cYmaXhOmPmtkfdzRwkRy4V9oY3ax5MWUzoFVLeUYmozoWYwvWIKXeuGKaqTIrsMysDHwdOBNYCpxjZksbZrsA+L27LwEuA76UVTwiReLuySiCTQa5yHoUwZqXFq3gfzcPdmRd+9JOLgnzrQReA5wBfCMsT2TaqlYrmE398D4Daqm9KM/ka2RsuL1urTmojo3QFVkL1sjQoLoIRiLLFqw3AZvd/XF3HwGuA85umOds4JrweBVwqs2E02Qi+9DXNw93x6xE96wBALrnJiMrWblM17zZAMw+uD/zWA4/so+hwcr+Z8xWO7nkbOA6dx929yeAzWF5ItNWX9/cllqceupGbKvlmO55A+PvreWYufO76OmZ9lcUdDTPOM6XV31q/G+mGx4ZZM7AK/MOY1K6evvp6omrwNpsOzhmyZF5hyGAZdW32sxWAGe4+8fC8w8Db3b3i+rmWR/m2RKe/ybM83zDsi4ELgxPjwUerXv5YGCP+SOlONOlONOVRZxHufsr2l1IO7kE+Bxwt7v/W5j+XeAWd1/VZD3KM52jONNThBgh4hwDnckzDTnmtcD6NGLPQMzfKcU2dTHHF3Nsx7r7nMm+qRBjObr7t4BvNXvNzNa6+7IOhzRpijNdijNdRYkzS8oznaM401OEGKE4cWapPsfEvD0U29TEHBvEHV/ssU3lfVm2+W8FFtY9XxCmNZ3HzLqAecC2DGMSkeJpJ5e08l4REeUZEUlNlgXWfcAxZrbYzHpILgBd3TDPauCj4fEK4A7XeLAisqd2cslqYGUY/WsxcAxwb4fiFpHiUJ4RkdRk1kXQ3cfM7CLgVqAMXOXuG8zsC8Bad18NfBf4VzPbDLxAktAmq2mXnggpznQpznRFG2c7uSTM9z1gIzAGfMLdpzJqR7Tbp4HiTFcR4ixCjBB5nDnkmZi3h2Kbmphjg7jjm3axZTbIhYiIiIiIyEwz7cddFRERERER6RQVWCIiIiIiIikpVIFlZgvN7E4z22hmG8zsU2H6gWZ2u5k9Fv49IOc4+8zsXjNbF+L8fJi+2MzuMbPNZnZ9uJA2V2ZWNrMHzexHscYIYGZPmtkjZvZQbcjMCD/3+Wa2ysx+ZWabzOykCGM8NmzD2t9OM/t0bHHmRTkmG0XIM0XIMSEm5ZkCMbMzzOzR8F2/uMnrvWEf2Bz2iUURxXaemT1X9zl+rIOxXWVmz1py77Fmr5uZ/VOI/WEzOzGi2E4xsx112+2zHYqr6fGrYZ5ctluLseWy3cK6mx5TG+aZ3L7q7oX5Aw4DTgyP5wC/BpYCXwYuDtMvBr6Uc5wGDITH3cA9wHLge8DKMP2bwJ9HsE3/CvgP4EfheXQxhlieBA5umBbb534N8LHwuAeYH1uMDfGWgWeAo2KOs8PbRDkmm3ijzzNFyDEhDuWZgvyF//tvgKPDZ7UOWNowz18A3wyPVwLXRxTbecDXctp2bwdOBNZP8Pq7gFtCLlwO3BNRbKfUcl2Ht1nT41cM263F2HLZbmHdTY+pDfNMal/t+H8i5Q3yQ+CdwKPAYXUf4qN5x1YXYz/wAMnd3p8HusL0k4Bbc45tAfAz4I+AH4UvWFQx1sX6JHv/+Inmcye5H8oThIFjYoyxScynA7+IPc6ct5FyTPvxFSLPxJ5jQgzKMwX6a/xuA5cAlzTMcytwUnjcFfYNiyS288ipwArrX8TERcyVwDl1z8e/WxHEdgo5FQoNcfwQeGdM220/scWy3caPqQ3TJ7WvFqqLYL3QNHcCSZX5Snd/Orz0DPDKvOKqCV1iHgKeBW4nOVO03d3HwixbgCNyCq/mcuBvgGp4fhDxxVjjwG1mdr+ZXRimxfS5LwaeA64OXaG+Y2aziSvGRiuBa8PjmOPMhXJMai6nGHkm9hwDyjNFcwTwVN3zZt/18XnCPrGDZB+JITaA94auZKvMbGGT1/PSavx5OSl0N7vFzF7T6ZU3HL/q5b7d9hEb5LjdGo+p7j7htmtlXy1kgWVmA8D3gU+7+8761zwpLXMfe97dK+5+PMnZ2zcBr843oj2Z2Z8Az7r7/XnH0qK3uvuJwJnAJ8zs7fUvRvC5d5F0Gfhndz8BeImkC8y4CGIcZ8k1L2cBNzS+FlOceVGOSUfB8kzsOQaUZ6Sz/hNY5O6vIzmJc03O8RTFA8BR7v564KvATZ1c+b6OX3nbT2y5brfGY6qZvbad5RWuwDKzbpIP59/d/Qdh8u/M7LDw+mEk1WcU3H07cCdJc/x8M6vd3HkBsDWvuICTgbPM7EngOpLuO1cQV4zj3H1r+PdZ4EaSH5Qxfe5bgC11ZzxWkfwQiinGemcCD7j778LzWOPsOOWYVBUmzxQgx4DyTNFsBepbfZp918fnCfvEPGBbDLG5+zZ3Hw5PvwO8oQNxtaqVbZsLd9/p7i+GxzcD3WZ2cCfWPcHxq15u221/seW53Rri2E5yTD2j4aVJ7auFKrDMzEjupL7J3b9S99Jq4KPh8UdJ+nbmxsxeYWbzw+NZJNdwbCL5wFaE2XKN090vcfcF7r6IpAvHHe5+LhHFWGNms81sTu0xSZ/+9UT0ubv7M8BTZnZsmHQqsJGIYmxwDi9324F44+wo5Zh0FSXPFCHHgPJMAd0HHGPJqJk9JPvA6oZ56rfJCpJ9pBMte/uNrVYMB2eR5JhYrAY+EkbFWw7sqOt+miszOzQcSzCzN5H81s68aN7H8ateLtutldjy2m5hfc2Oqb9qmG1y+2qWF4ql/Qe8laRLwcPAQ+HvXSR9IH8GPAb8FDgw5zhfBzwY4lwPfDZMPxq4F9hM0mWiN+9tGuI6hZdH94ouxhDTuvC3AfhMmB7b5348sDZ87jcBB8QWY4hzNknSmlc3Lbo4c9o2yjHZxRxtnilKjgkxKc8U6C/kj1+TXCNZ+159ATgrPO4L+8DmsE8cHVFs/xj2h3UkJ0Ve3cHYrgWeBkZJWm4vAD4OfDy8bsDXQ+yPAMsiiu2iuu12N/CWDsU10fEr9+3WYmy5bLew7omOqVPeVy28SURERERERNpUqC6CIiIiIiIiMVOBJSIiIiIikhIVWCIiIiIiIilRgSUiIiIiIpISFVgiIiIiIiIpUYElIiIiIjIFZnaemX0t7zgkLiqwREREREREUqICSzrCzG4ys/vNbIOZXRimXWBmvzaze83s27UzQOGO2t83s/vC38n5Ri8isVOOEZEsmNmHQg55yMyuNLOymZ1fyy3AyXXz/ouZrah7/mLd4781s0fMbJ2ZfbHD/w3psK68A5AZ48/c/QUzmwXcZ2Y/Bv4eOBHYBdxBcvdugCuAy9z9f8zsSOBW4Lg8ghaRwlCOEZFUmdlxwAeAk9191My+AXwI+DzwBmAHcCfw4H6WcyZwNvBmd99tZgdmG7nkTQWWdMonzew94fFC4MPAz939BQAzuwH4g/D6acBSM6u9d66ZDbj7i4iINKccIyJpO5WkkLov5ItZwFuANe7+HICZXc/LuWUipwFXu/tugFpekulLBZZkzsxOIUkuJ4UzN2uAXzHxGeMSsNzdhzoSoIgUmnKMiGTEgGvc/ZLxCWbvBv50gvnHCJffmFkJ6Mk6QImTrsGSTpgH/D788Hk1sByYDbzDzA4wsy7gvXXz3wb8Ze2JmR3fyWBFpHCUY0QkCz8DVpjZIQCha9+DJLnlIDPrBt5XN/+TJC1eAGcB3eHx7cD5ZtZftxyZxlRgSSf8BOgys03AF4G7ga3APwD3Ar8gSUo7wvyfBJaZ2cNmthH4eMcjFpEiUY4RkdS5+0bg74DbzOxhkkLpMOBzwC9Jcsumurd8m6T4WgecBLwUlvMTYDWw1sweAv66Q/8FyYm5e94xyAxVu+YhnF2+EbjK3W/MOy4RmR6UY0REJA9qwZI8fS6cyVkPPAHclGs0IjLdKMeIiEjHqQVLREREREQkJWrBEhERERERSYkKLBERERERkZSowBIREREREUmJCiwREREREZGUqMASERERERFJyf8Dgjcv9DzrG5IAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Feed in the ineraction as a nested list\n", "interacted_features = [['age','educ'],['age','wage'],['educ','wage']] \n", "\n", "# Then business as usual when plotting\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "display = plot_partial_dependence(\n", " rf_mod, train_X, interacted_features,\n", " n_cols=3,n_jobs=4, grid_resolution=20,ax=ax\n", ")\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## ICE Plots" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "features = ['age','educ','wage','married','cit']\n", "fig, ax = plt.subplots(figsize=(15, 4))\n", "display = PartialDependenceDisplay.from_estimator(\n", " rf_mod,\n", " train_X,\n", " features,\n", " kind=\"both\", # \"average\" = just PDP, \"individual\" = just ICE\n", " subsample=50,\n", " n_jobs=3,\n", " grid_resolution=20,\n", " random_state=0,\n", " ice_lines_kw={\"color\": \"tab:blue\", \"alpha\": 0.2, \"linewidth\": 0.5},\n", " pd_line_kw={\"color\": \"tab:orange\", \"linestyle\": \"--\"},\n", " n_cols=len(features),\n", " ax = ax\n", ")\n", "display.figure_.subplots_adjust(hspace=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Global Surrogate Models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(1) Generate a vector of predictions (specifically, predicted probabilities since this is a classification problem). " ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[0.33923212],\n", " [0.82221132],\n", " [0.35483412],\n", " ...,\n", " [0.35561205],\n", " [0.57929831],\n", " [0.44145906]])" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pr_y = rf_mod.predict_proba(train_X)[:,rf_mod.classes_ == 1]\n", "pr_y" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(2) Fit the surrogate model on the predictions" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DecisionTreeRegressor(max_depth=3)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "surrogate_model = DT_reg(max_depth=3)\n", "surrogate_model.fit(train_X,pr_y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(3) Examine the model fit ($R^2$)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.87" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "m.r2_score(pr_y,surrogate_model.predict(train_X)).round(2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(4) Plot the tree and interpret" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Plot the tree\n", "plt.figure(figsize=(10,8),dpi=200)\n", "rules = tree.plot_tree(surrogate_model,feature_names=train_X.columns,fontsize=7)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "211.323px" }, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 2 }