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@iamirmasoud
Created August 3, 2022 07:42
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"from sklearn.ensemble import RandomForestClassifier\n",
"from sklearn.linear_model import LogisticRegression\n",
"from sklearn.naive_bayes import GaussianNB\n",
"from sklearn.svm import SVC"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Read Data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"df = pd.read_csv('heart.csv')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"df = df.sample(frac=1).reset_index(drop=True)\n",
"df = df[['target',\n",
" 'exang',\n",
" 'cp',\n",
" 'oldpeak',\n",
" 'thalach',\n",
" 'ca',\n",
" 'slope',\n",
" 'thal',\n",
" 'sex',\n",
" 'age',\n",
" 'trestbps',\n",
" 'restecg']]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"train_frac = 0.33\n",
"test_frac = 0.33\n",
"\n",
"train_X = df[[c for c in df.columns if c != 'target']].iloc[:int(len(df) * train_frac)].values\n",
"train_y = df.target.iloc[:int(len(df) * train_frac)].values\n",
"\n",
"test_X = df[[c for c in df.columns if c != 'target']].iloc[int(len(df) * train_frac):int(len(df) * (train_frac+test_frac))].values\n",
"test_y = df.target.iloc[int(len(df) * train_frac):int(len(df) * (train_frac+test_frac))].values\n",
"\n",
"valid_X = df[[c for c in df.columns if c != 'target']].iloc[int(len(df) * (train_frac+test_frac)):].values\n",
"valid_y = df.target.iloc[int(len(df) * (train_frac+test_frac)):].values"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Train Models and get Probabilities"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"model_to_clf = {\n",
" 'rf': RandomForestClassifier,\n",
" 'svc': SVC,\n",
" 'nb': GaussianNB\n",
" }"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<class 'sklearn.ensemble._forest.RandomForestClassifier'>\n",
"<class 'sklearn.svm._classes.SVC'>\n",
"<class 'sklearn.naive_bayes.GaussianNB'>\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1440x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_to_probs = {}\n",
"model_str_to_trained_model = {}\n",
"\n",
"for model_str, model in model_to_clf.items():\n",
" print(model)\n",
" if model == SVC:\n",
" clf = model(probability=True)\n",
" elif model == LogisticRegression:\n",
" clf = model(solver='liblinear')\n",
" else:\n",
" clf = model()\n",
" \n",
" clf.fit(train_X, train_y)\n",
" \n",
" pred_probs_train = clf.predict_proba(train_X)[:,1]\n",
" pred_probs_test = clf.predict_proba(test_X)[:,1]\n",
" pred_probs_valid = clf.predict_proba(valid_X)[:,1]\n",
" \n",
" model_to_probs[model_str] = {'train': pred_probs_train, 'test': pred_probs_test, 'valid': pred_probs_valid}\n",
" \n",
" plt.figure(figsize=(20,4))\n",
" \n",
" plt.subplot(1,2,1)\n",
" sns.distplot(pred_probs_train)\n",
" plt.title(f\"{model_str} - train\", fontsize=20)\n",
" \n",
" plt.subplot(1,2,2)\n",
" sns.distplot(pred_probs_test)\n",
" plt.title(f\"{model_str} - test\", fontsize=20)\n",
" \n",
" model_str_to_trained_model[model_str] = clf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plot Predicted Probabilities vs Empirical Probabilities"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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www34+/uzaNEiYmJiMJlM7D9ay/3vZbLCeginBpNBce3YWG6fOpSYPrBAeHeTUCY63X/+8x/+93//lxkzZhAbG0t5eTkbNmxg9+7dpKamcuedd7q7RCGE6LOOHj3Ktm3byMzMpK6ujoCAAMxmM1prlFIMHDiQg+V1PP/5Dv5tOYTDqTEaFNemD+D2qUOJ7efr7o9wwZJQJjrduHHjmDRpEhs2bODo0aMAxMfH8+tf/5pf/epX+PjIb1dCCNGdmpqaMBgMmEwmdu/ezXfffcfw4cMxm80MGTIEg6G5GUNhRT3Pf57H+1sPYndqDAp+OHoAd04bysD+ri23J86dhDLR6cxmM8uXL3d3GUII0adprSkqKsJisZCdnc3cuXNJTU0lLS2NUaNG4e/v33pscWU9L3yRx7tbDmJzNIexq8wx3Dk9gfhQCWPdRUKZEEIIcQFxOp1s2bIFq9VKaWkpJpOJpKSk1uXvvLy88PLyAqC0qoGX1u/ln98doMnhRClYkBrNXdMTGBLmf6bLiC4goUwIIYTo5bTWHD16lNDQUAwGAxkZGRiNRi677DKSk5Px9j65XcXh6gZeXp/P29/tp9HuBOCyi6K4Z3oCCREB7vgIAgllQgghRK9VVVVFRkYGGRkZ1NTUcP/99+Pl5cWiRYvaBDGAsppGXvlyL3//dj8NtuYwNjc5krtnJDAismt6SArXSSgTQgghepnS0lI+//xz9uzZg9aaQYMGMWXKFIxGI0CbQFZe28SrG/L52zcF1Nual7ubOTKCe2YkkBQd1O31i/ZJKBNCCHFBWWktZMm6XRRV1BMd7MMDs4dzhTnG3WWdt+NPs/fv3x+lFEVFRUycOBGz2Uy/fv3afU9FXROvbcznza8LqG1qDmPTR4Rzz4xhjBogYaynkVAmhBDigrHSWsjDy7NaR4MKK+p5eHkWQK8MZjabjdzcXCwWC/v372fUqFFcddVVhIeHc++997a2sjhVZb2Nv361j2Vf7aOm0Q7A5GFh3DtzGKmxwd35EUQHSCgTQghxwViybldrIDuu3ubgkRVZ7CqtJtDbgyAfDwJ9TAR6exDo0/K1t4lAHw88jO2HHHdYv3493377LY2NjfTr14/p06eTkpLSur+9QFbVYOONrwp4/at8qhuaw9glCaHcM2MYoweGdFvt4txIKBNCCHHBKKqob3d7XZODl9bvPev7fT2NLWHN1BLW2ga3wNbtphNCngcBXiYMBnXOtTc0NLBjxw5SU1NbA9fxBq8DBw5EqdOfu6bRzptf7+O1jfuorLcBMGFIf+6dOYwxg9q/tSl6nm4NZUqpOcBzgBF4XWv91Cn7g4B/AHEttf1Ja/1Gd9YohBCid9Ja4+NppK7J0WZfkI8Ht106mMp6G1X1NqoabC2v7Se8tlHX5KCuyUFJVcevrxQEeJlaQ9uJI3JBrWHORJDv92Ev0NtE7dES9uZmsXvXTux2O/369WuduN+eE+fMRQZ5M3pgMF/nHeVYXXMYGxvfj3tnDOPiIf07/iGEW3VbKFNKGYEXgJnAIWCLUmq11nrHCYfdDuzQWl+ulAoDdiml3tZaN3VXnRe6goIC4uPjWbRoEW+++eZZj3/zzTdZvHgxb7zxBjfddFOX13dcR+sUQoiln+W1G8h8PIz8dn7SWeeUaa2pbXJ8H9zqW8Jag/2E181B7vvXx0OenZpGe/OxDXag/RG7E/mrRmZ57ibI0EijNlLg7EeJKYr1/y4g0PvQSaNyxwNe/pFaVmUUYnNoAIorG/hwewkA6QNDuHfmMCYM6X/GUTXRc3XnSNlYIE9rnQ+glHoHWACcGMo0EKCav5v8gXLA3o01CiGE6IX+tfkAz/53NwYFN00YxLqc0g4/famUwt/LhL+XiZjgjq/Ra3c4qWm0tzsCV9Vgo6KukZrDhdTX13PEM5KquiaaKkqwOoPZ3RhInV1BE1BX2+Fr9/fz5P2fXSxhrJfrzlAWAxw84etDwLhTjnkeWA0UAQHAj7XWzlNPpJS6DbgNIC4urkuKvVDFxMSQm5tLUJA8Ci2EuDB8uqOUX69ofsLy8QXJXD9+IP97eVK312EyGgj29STY1/Ok7eXl5VitVjJ3ZGKsrmZIRARP33R5S4Ca1Hpcg83ROhJ3cqCzt47IvbIhv91rl9c2SSC7AHRnKGvvu0Wf8vVsIAOYBgwBPlVKbdRan3R3X2v9KvAqQHp6+qnnEGfg4eHBiBEj3F2GEEJ0im37j3Hnvyw4Ndw1bSjXjx/o7pJOsmHDBr744guUUgwdOpR58+aRkJDQboDy9jDi7WEk/AyrHH24vZjCdh5miD6HkT3R83Tns7+HgNgTvh5A84jYiRYDy3WzPGAfIAmiExUUFKCUajM/LC8vj2uuuYaQkBD8/PyYMGECa9asOeO5Dh06xB133MHgwYPx8vKif//+zJ8/ny1btrQ5tqioiMcff5yJEycSGRmJp6cn0dHRLFy4kNzc3M78iEKIPiLvcA23/G0LDTYnP06P5d6Zw9xdEqWlpXz00UccOXIEgPj4eKZOnco999zDwoULGTFiRGvX/XPxwOzh+Hic/H4fDyMPzB5+XnWLnqE7R8q2AAlKqXigELgWWHjKMQeA6cBGpVQEMBxof6xWdJo9e/Zw8cUXc/ToUebOnUtqaip5eXlcccUVzJ07t933WCwWZs2aRXl5ObNnz+aqq66irKyMlStXMmnSJFasWMG8efNaj9+wYQNPPfUUU6dO5eqrr8bf3589e/bw73//m9WrV/P111+f1H9HCCHOpLSqgUXLNlNRZ2P6iHB+f2Wy227fNTY2kpWVhdVqpaioCKPRSHR0NGFhYcTGxhIbG3v2k7jo+Ny4C3HFAtGNoUxrbVdK3QGso7klxjKtdY5S6mct+18Gfge8qZTKovl256+01mXdUV97T/glJSUxZswYbDYbb7/9dpv9qamppKamUldXx3vvvddmf3p6OsnJyVRWVrJixYo2+y+++GKGDx9OWVkZH374YZv9l156KYMHD6akpITIyMhz+2AuuP322zl69Ch/+ctfuPvuu1u3r1q1iiuuuKLN8Xa7nR/96EfU1NTwxRdfMHny5NZ9RUVFjBkzhltuuYWCggK8vLwAmDZtGqWlpQQEnDwun5mZycSJE3nooYf46KOPuugTCiEuJFUNNhYt20xhRT3muGCeX5iGyU1NXx0OB0uXLqWuro7w8HDmzJnDqFGj8PX17bJrXmGOkRB2gerWPmVa67XA2lO2vXzC6yJgVnfW1NcdOnSITz/9lPj4eO64446T9i1YsIDJkyfz5ZdfnrR9zZo17N27l1/+8pcnBTKA6OhoHnzwQe655x4+++yz1tGy8PDwdq+fkpLCtGnT+OSTT7DZbHh4eHTipxNCXGga7Q7+561t7CypZnCoH39dNAYfz3O/HdhRtbW1ZGZmUlhYyDXXXIPRaGTmzJmEhYURHR0tk+3FeZGO/i3O1IPLw8PjjPt9fX3PuD8oKOiM+0NDQ8+4vytHyaxWKwCTJk1qd57DlClT2oSyTZs2AbB//34ee+yxNu/Zs2cPALm5uSfdwlyzZg0vv/wyW7dupaysDLv95G4nZWVlREVFndfnEUJcuJxOzX3vZbIp/yhhAV787eax9PPzPPsbz/u6Tvbu3YvVamXXrl04nU5iY2NpaGjA29ub1NTULq9B9A0Syvq4yspKACIiItrd314gPHr0KADvv//+Gc9dU1PT+nrp0qXcfffdhISEMHPmTOLi4vD19UUpxcqVK8nMzKSxsfFcP4YQ4gKnteaJNbms2V6Mv5eJNxePIbZf190iPH5NpRTZ2dmsWLECX19fxo0bh9lsJiwsrEuvLfomCWV93PF+ZaWlpe3uLykpOe17Vq1axfz58896DbvdzqOPPkpkZCQWi6XNaNjxkTchhDid1zbms+zrfXgYFa/eMJqk6K7ptWi329m1axcWi4WEhATGjx/PiBEjuOaaaxg+fPh5PTkpxNlIKOvjzGYzAF999RUOh6PND5z169e3ec/48eMB2Lhxo0uhrKysjIqKCq666qo2gaympgaLxXKO1Qsh+oIV1kP8Ye1OAJ75USoThoZ2+jUOHz7c3OA1M5P6+nqCgoIYOXIkAJ6enq2vhehK7nlcRfQYAwYMYObMmezbt4/nn3/+pH2rVq1qM58Mmh8AGDJkCC+88AJr165tsx+aR7/q6uqA5kn+vr6+bNu27aRbmjabjbvvvpuysm55wFYI0Qtt2H2EB97fDsBvLktkfkp0p53b4fh+ncyPP/6YzZs3Ex8fz3XXXcddd93F6NGjO+1aQrjC5ZEypZQ3zX3Fjv+6sAP4l9b67Kuuih7thRde4OKLL+aee+7hk08+ISUlhby8PFasWMHll1/OBx98cNLxHh4eLF++nNmzZ3PZZZcxYcIEUlNT8fX15eDBg2zZsoX8/HyKi4vx9fXFYDBw11138dRTTzFq1CgWLFhAU1MTX3zxBeXl5UydOpUvvvjCTZ9eCNFTZRdW8vN/bMPu1Nx26WBuvWTweZ9Ta01hYSEWi4Xc3Fx+8YtfEBAQwNy5c/H19cXPz68TKhfi3LgUypRSacCHgA+Q1bL5ZuD3SqnLtNZy/6kXS0hI4Ntvv+Whhx7iv//9L+vXr+eiiy5i5cqVHDlypE0oA7jooovIzMzkz3/+Mx9++CFvvPEGBoOBqKgozGYzv/3tbwkN/f4Ww+9+9zvCwsJ4/fXXeeWVVwgKCmLmzJk88cQTPProo935cYUQvcCBo3Xc9MZmapscXJEazUNzzm9xl4aGBjIyMrBYLBw5cgQPDw+SkpJwOpuXV5aJ+6InUFqffelIpdRWmjvrL9Za17Zs8wOWAUO01uldWuUZpKen661bt571uNzcXBITE7uhInGhk+8lIbpWWU0jP3zpGwqO1jFpaCjLbhqDp6njs2201tTX1+Pr60tlZSXPPfcc0dHRmM1mkpOTW5tbC9GdlFLbTpebXL19mQTceDyQAWita5VSjwNnT0RCCCGEC2ob7dzy5hYKjtaRFB3IS9endTiQVVZWkpGRQUZGBqGhoVx33XUEBQVx1113ERwc3EWVC3H+XA1lO4FomueRnSgK2N2pFQkhhOiTbA4nt//TQuahSmL7+fDG4jEEeLu+ykd+fj6bNm1i7969aK0ZPHjwSY1dJZCJnu60oUwp1e+EL38DLG0ZGfu2Zdv4lu0PdV15Qggh+gKtNQ/9J4v1u47Qz8+Tvy0eS3iA91nfV1ZWRnBwMCaTiaKiIkpLS5k0aRJms5mQkJBuqFyIznOmkbIy4MQJZwr45wnbji/wtYrmBcaFEEKIc/KnT3bxH8shfDyMLLtpDIPD/E97bFNTEzt27MBqtXLgwAGuuuoqRo0axbhx45gwYQIGg3R7Er3TmULZ1G6rQgghRJ/11qYCXvhiL0aD4sXr0kiNbf82o81mY926dWRlZdHU1ES/fv2YMWMG8fHxQHO7HiF6s9OGMq11266hQgghRCf6KKuYR1fnAPDkVaOYOiL8pP319fWUlJQQHx+PyWSiuLiYxMREzGYzcXFxKKXaO60QvVJHmsdGALfT3DxWAznAS1rr9hdN7IGOLy4rxLlypYWMEMI13+Uf5e53M9AafjlrGD9KjwWa/z8rKCjAarWyY8cOjEYjv/zlL/Hw8ODWW2+Vn+PiguVq89iJwMdAKXB89ejrgfuUUrO11j1+RWmj0YjNZsPT09PdpYhezGazyYLEQnSCXSXV3PrWVprsTm4YP5Dbpw4FYO/evaxZs4Zjx47h5eVFWloaZrO59dakBDJxIXN1pOxPwL+An2mtnQBKKQPwMvAMMKFryus8AQEBVFVVndRlXoiOqqqqIiAgwN1lCNGrFVXUs2jZZqob7MwZGc7C4SYOHz5MREQEvr6+BAUFMWXKFBITE2WemOhTXO3oXw+kaq13nbJ9BGDVWvt0UX1n5WpH/8bGRg4cOEBISAiBgYF4eHjIb1zCJVprbDYbVVVVHDt2jLi4OOkELsQ5qqyz8cOXv6HkSBmT+9USbzhCTU0NY8aMYd68ee4uT4gu1xkd/SuBeGDXKdvjgYrzqK3beHl5ERcXR3l5OQUFBTgcDneXJHoRo9FIQECABDIhzkODzcGtb3MQx/QAACAASURBVG0hpiKTSd7HUPWK6IQE0tLSSEhIcHd5Qridq6HsHeCvSqkHgW9onug/CXiK5tuavYKXlxdRUVFERUW5uxQhhOgzSkpKyM7O4f2iQLYUHONivyDSxyVzyfh0AgMD3V2eED2Gq6HsQZqbxS474T024CWko78QQohTNDQ0kJWVhdVqpbi4GK0MfFefSKB3AL+97SqGRcjcTCFOddZQppQyATOA3wEPA0NoDmh5Wuu6ri1PCCFEb1NcXMyyZcuw2+3Nk/eHjOa1bAeYPPnHojESyIQ4jbOGMq21XSm1HBihtS4Dsrq+LCGEEL1FTU0NmZmZeHp6MmbMGCIiIkhPT2fUqFFsLLTz1H+yUMrES9emMja+39lPKEQf5erty0xgKFDQdaUIIYToLZxOJ3l5eVitVnbv3o3T6SQpKYkxY8ZgMBiYPXs2n+8s5ZEVGQA8Pj+JOckyn1eIM3E1lD0GPKOUehTYBtSeuFNrXd7JdQkhhOjBPvzwQ6xWK76+vowfPx6z2XxSH0jrgWPc/rYVh1Nzx9Sh3HDxIPcVK0Qv4WooW9Py53Kan7w8TrV8LS3OhRDiAmW329m5cydWq5W5c+cSGhrK6NGjSUhIYNiwYW1Wucg/UsPNb26h3ubgmtEDuH/WMDdVLkTv4moom9qlVQghhOhxSktLsVqtbN++nfr6eoKCglpXRomJiSEmJqbNew5XN3Djss0cq7MxZXgYf7hqlDTqFsJFLoUyrfWXXV2IEEII99Nao5SisbGR1157DYARI0ZgNpsZPHjwGQNWdYONxW9s4dCxelIGBPHidWl4GA3dVboQvZ6rI2UopaKAnwMjWzblAi9prYu6ojAhhBDdQ2vNoUOHsFgsVFZWcuONN+Ll5cWPf/xjYmJi8PX1Pes5muxOfvaPbeQUVREf6seym8bg6+nyPzFCCFwMZUqpmcAq4CDwXcvma4D7lVJXaK0/6aL6hBBCdJHa2lq2b9+OxWKhrKwMDw8PkpOTcTgcGI1Gl5c+cjo1D/w7k6/zjhLq78XfFo+lv78sRyZER7n6a8xS4HXgbn3CCuZKqeeA54BEV06ilJrTcrwReF1r/VQ7x0wB/gJ4AGVa68ku1iiEEOIsnE4nWmuMRiM7d+7kk08+YcCAAVx++eUkJSWd09quT36Uy6qMIvw8jby5eAxx/c8+siaEaMvVUDYIeP7EQNbiBeCnrpxAKWVsOX4mcAjYopRarbXeccIxwcCLwByt9QGlVLiL9QkhhDiDyspKrFYrGRkZTJgwgbFjx5KcnExsbCzh4ef+o/b1jfm8tnEfJoPi5RtGkxwT1IlVC9G3uBrKtgKjgN2nbB8FWF08x1ial2bKB1BKvQMsAHaccMxCYLnW+gCA1vqwi+cWQghxCq01ubm5WCwW9u7dC8DgwYPp378/AF5eXucVyFZnFvHEmlwA/nRNCpckhJ1/0UL0Ya6GsheBZ5VSCcC3LdvG0zzx/yGlVNrxA7XWltOcI4bmOWnHHQLGnXLMMMBDKbUeCACe01q/deqJlFK3AbcBxMXFufgRhBCib6iuriYgIAClFN999x0VFRVceumlmM1mgoODO+UaX+eVcf97zd36H5k3givMbdtjCCE6xtVQ9nbLn384wz44cyPZ9p6jPvV2qAkYDUwHfIBNSqlvtdYnjdBprV8FXgVIT08/9RxCCNHnNDU1kZOTg9VqpbCwkPvuuw8/Pz9++MMf4ufnh8HQea0pcooq+Z+/b8Pm0NwyKZ6fXjK4084tRF/maiiL74RrHQJiT/h6AHBqO41DNE/urwVqlVIbgBTa3jYVQggBVFRUsHHjRrKzs2lqaqJ///5Mnz69tct+QEBAp17vYHkdN72xhZpGO5enRPPreYnSHFaITuJq89j9nXCtLUCCUioeKASupXkO2YlWAc8rpUyAJ823N5/thGsLIcQFo76+nvr6evr164fWmqysLJKSkjCbzcTGxnZZSCqvbWLRss0cqW5kwpD+/OmaizAYJJAJ0Vm6rbOf1tqulLoDWEfzLc5lWuscpdTPWva/rLXOVUp9DGwHnDS3zcjurhqFEKKn0lqzb98+rFYrubm5DB06lGuvvZaQkBAeeOABPDw8uvT6dU12bn5zC/lltSRGBfLKDaPxMsmyx0J0pm5tt6y1XgusPWXby6d8vQRY0p11CSFET7Zt2za++uorKioq8Pb2ZvTo0ZjN5tb9XR3I7A4nd/7TSsbBCmKCffjb4jEEeHftNYXoi2QNDCGE6GEcDgd79uwhISEBo9FIbW0tISEhTJs2jcTEREym7vvRrbXm1yuy+WznYUJ8PXjrlrGEB3p32/WF6EsklAkhRA9x9OhRLBYLmZmZ1NbW8qMf/YjExEQuueQSLr30UrfU9Oynu3l360G8PQz89aYxDAnzd0sdQvQFEsqEEMLN6urqeO+999i/fz9KKYYNG0ZaWhpDhw4FcNvTjW9/t5+ln+dhNCheWJhGWlyIW+oQoq84bShTSmXRto9Yu7TWF3VaRUII0QcUFxdTXl5OUlISPj4+eHp6Mn36dFJSUjq9jcW5WJdTwv9b2fyc1e+vSGZ6YoSbKxLiwnemkbJ/d1sVQgjRB9TX15OVlYXVaqWkpAR/f38SExMxGAwsXHhqhyD32VpQzl3/suLUcN/MYVw7VlZOEaI7nDaUaa1/252FCCHEhcxqtbJ27VrsdjtRUVHMmzePUaNGdWqn/c6wp7SaW/62lUa7k4Xj4rhz2lB3lyREnyFzyoQQogvU1NSQkZHBkCFDiIqKIiIigtTUVNLS0oiKinJ3ee0qrqxn0bLNVNbbmDkygt8tSJZu/UJ0I5dDmVJqMfATII7mbvuttNay8JkQos9zOp3k5eVhsVjYvXs3WmuUUkRFRREdHU10dLS7SzytynobNy3bQlFlA6MHhvB/PzFjlG79QnQrl0KZUuoB4GHgFeBS4EVgaMvrP3VZdUII0UtorXnllVc4fPgwfn5+TJgwAbPZTP/+/d1d2lk12Bzc9tZWdpVWMzTcn78uSsfbQ7r1C9HdXB0p+ylwm9b63y1LJT2vtc5XSv0/YGDXlSeEED2T3W4nNzeXvXv3smDBApRSjB07Fj8/v9amr72Bw6m5770MvttXTkSgF3+7eSzBvp5nf6MQotO5GsoGAJtbXtcDgS2v/9Wy/aedXJcQQvRIJSUlWCwWsrKyaGhoICQkhOrqagIDAxk9erS7y+sQrTWPf5DD2qwSArxN/O3mscQE+7i7LCH6LFdDWQkQChwA9gMXAxk038J0qZeZEEL0dnl5ebz99tsYjUYSExNJS0tj0KBBvW4y/EprIUvW7aKwoh4Ao4JXb0hnRGTgWd4phOhKroayz4H5gAX4K/CsUupHQBrwXhfVJoQQbqO15uDBg1gsFsLDw5kwYQLx8fHMmzeP5ORkfHx654jSSmshDy/Pot7maN1mMChKqxrcWJUQAlwPZbcBBgCt9ctKqWPAROA/NE/+F0KIC0JNTQ2ZmZlYrVaOHj2Kp6cnwcHBABiNRsaMGePmCs+dw6l5Ys2OkwIZgM2hWbJuF1eYY9xUmRACXAxlWmsn4Dzh63eBd7uqKCGE6E7HW1cArFmzhp07dxIbG8ukSZMYOXIknp69d+K71prthypZnVnEB5lFlNU0tXtcUcutTCGE+7jaEuMOoEJr/Y9Ttl8PBGqtX+yK4oQQoitVVFRgtVrJyMjgpptuIiQkhKlTpzJt2jTCwsLcXd55yTtcw+rMIlZnFFJwtK51u9GgcDjbTgWOlgn+Qridq7cv7wFuaWd7AfAGzX3LhBCix7Pb7ezcuROr1Up+fj4AQ4cOpampeQQpPDzcneWdl+LKej7ILGJ1ZhHZhVWt20P9vbg8JYoFqTHsO1LDIyuyT7qF6eNh5IHZw91RshDiBB1pibG/ne2HWvYJIUSP1tTUhKenJ42NjaxYsYKAgACmTJlCamoqQUFB7i7vnB2rbeKj7BJWZRSyuaAc3TIIFuBtYm5yJPNTYrh4SP/W7vypscEopViybhdFFfVEB/vwwOzhMp9MiB6gIy0xUmkeGTtRGlDWmQUJIURnaWxsJCcnB4vFgtFoZPHixfj5+fHTn/6U8PDwHrcYuKvqmux8uqOU1RlFfLn7CPaW25GeJgMzEsOZnxLDlOFhp+3Kf4U5RkKYED2Qq6Hsn8BSpVQtsL5l21TgL8DbXVCXEEKcs5KSEjZv3kx2djY2m42wsDDMZnPrhP7IyEh3l9hhTXYnG/ccYVVGEZ/uKG29/Wg0KC4dFsaClGhmJUUQ4O3h5kqFEOfK1VD2KBAPrAOOT0QwAO8D/68L6hJCiA6pq6vDZDLh6enJgQMHyM7OJjk5GbPZzIABA3pdg1cAp1OzuaCc1ZlFrM0qpqLO1rpv9MAQ5qdEM29UFGEBXm6sUgjRWZTWrjfkV0ol0HwbUwEWrXVeVxXmqvT0dL1161Z3lyGEcAOtNfn5+VgsFnbu3Mm8efMYPXo0TU1NaK3x8up9YUVrTU5RVWsLi+LK75u6DovwZ0FqDPNToont5+vGKoUQ50optU1rnd7ePldHygDQWu8B9nRKVUIIcY6cTicbN27EarVSWVmJj48PY8aMYeDAgQC9sq/YvrJaVmcUsSqzkPwjta3bY4J9mJ8azYLUaFkGSYgL3GlDmVJqKfCw1rq25fVpaa3v6vTKhBDiBA6Hg5KSEmJiYjAYDOTl5dG/f39mzJjBiBEjMJk69Dtmj3C4qoEPthezOqOQzEOVrdv7+3ly2UVRLEiNJi0upFfeehVCdNyZfoqNAo7PGL2I0y88LguSCyG6zJEjR7BarWRmZtLY2Mj999+Pj48PixYt6pVBrLLOxsc5xazKKGJT/tHWFhZ+nkZmJ0cyPyWaiUND8TD2zidDhRDn7rQ/0bTWU094PaVbqhFCiBZFRUV8/PHHHDx4EIPBwPDhwzGbza3zxHpTIKtvcvDZzlJWZRTx5a4jNDmaV63zNBqYMjyMBakxTE8MP20LCyFE33DWn2pKKQ/gIDBda53T9SUJIfoirTVFRUWYTCYiIiLw8vKivr6eGTNmkJKSgr+/v7tL7BCbw8lXeWV8kFHEupwSapuaH1xXCiYO7c+ClBhmJ0cS5CMtLIQQzc4ayrTWNqWUDblNKYToAvX19Wzfvh2r1UppaSnJyclcffXV9O/fn1/84he9aj6V06mxHDjGqowi1mQVU177/eLfKbHBLEiJ5gcXRREe6O3GKoUQPZWr4///BzyslFqstbZ3ZUFCiL5j3bp1bNmyBYfDQXR0NJdddhnJycmt+3tDINNas7OkmlUZzS0sCivqW/cNDvPjipYWFoNC/dxYpRCiN3A1lF0CTAYKlVLZQO2JO7XW8zu7MCHEhaeqqoqsrCzGjx+P0WgkICCAtLQ00tLSel2X/QNH61idWcjqzCJ2l9a0bo8K8mZ+SjSXp0STFB3YK4KlEKJncDWUlQH/6cpChBAXJofDwZ49e7BarezZswetNQMGDGDgwIFMmDDB3eV1yJHqRtZsL2JVZhHWAxWt24N9PZg3KooFKdGMGdQPg0GCmBCi41wKZVrrxZ1xMaXUHOA5wAi8rrV+6jTHjQG+BX6stf53Z1xbCNH9jh07xl//+ldqa2vx9/dn4sSJmM1m+vXr5+7STmultZAl63ZRVFFPdLAPd0wbgslgYHVmEV/nldGy9jc+HkZmJUWwIDWaSUPD8DRJCwshxPnptmfKlVJG4AVgJnAI2KKUWq213tHOcX+keZ1NIUQvYrPZ2LFjBzabjfT0dIKDgxk2bBjDhw8nISEBg6FnB5eV1kIeXp7Vuth3YUU9Dy/Pbt1vMiimjQjj8pRoZo6MwNez97TlEEL0fGfq6L8dmKy1PqaUyuIMT19qrS9y4VpjgTytdX7L+d8BFgA7TjnuTppvlY5x4ZxCiB6guLgYi8VCVlYWjY2NDBgwgNGjR6OUYv783jPldMm6Xa2B7ESeRgOPzU9ibnIkIX69bwknIUTvcKZf8/4DNLa87oxbiDE09zs77hAw7sQDlFIxwJXANM4QypRStwG3AcTFxXVCaUKIc/XFF1+wYcMGTCYTiYmJpKWlMXDgwF45wb3ohCcnT2RzOFk4Tn7WCCG61pk6+v+2vdfnob2f0KeOvv0F+JXW2nGmH+ha61eBVwHS09Olf5oQ3URrzf79+7FarVx88cVERkYyfPhw/Pz8GDVqFD4+Pu4u8bz09/ekrKapzfbo4N79uYQQvUOHJkQopYYAiS1f5mqt93bg7YeA2BO+HgAUnXJMOvBOSyALBeYppexa65UdqVMI0blqamrIyMjAarVSXl6Ol5cXCQkJREZGEh0dTXR0tLtLPG/VDTYczra/4/l4GHlg9nA3VCSE6GtcCmVKqf7AX4H5gPP7zepD4Gat9VEXTrMFSFBKxQOFwLXAwhMP0FrHn3DNN4EPJZAJ4V4Oh4MXX3yR+vp64uLiuPTSSxk5ciQeHhfW8kCPrsrhWJ2NAcHeODUUVzYQHezDA7OHc4U5xt3lCSH6AFdHyl4HhtLcRPa7lm3jgJeA14CrznYCrbVdKXUHzU9VGoFlWuscpdTPWva/3MHaRS90arsB+Qev5zl27BhWq5WioiKuu+46jEYjP/jBDwgPDyc0NNTd5XWJVRmFLLcW4u1h4M2bxzE0vHetsymEuDC4Gspm07wg+aYTtn2tlPof4L+uXkxrvRZYe8q2dsOY1vomV88reof22w1kAUgwczO73U5ubi5Wq5V9+/ahlGLo0KE0Njbi7e3NyJEj3V1ilzlYXsdvVjS3vfjfHyRJIBNCuI2roewIpyyt1KIOcOXWpRDtthuotzl4et1OCWVu4nQ6MRgM5Obmsnz5coKDg5k6dSqpqakEBga6u7wuZ3c4ue+9DKob7cwcGcFPxsae/U1CCNFFXA1ljwN/UUrdoLUuhNb2Fc+07BPirE7XbqCoooEH3s9kTnIkE4eG4u1h7ObK+pbGxkays7OxWCwkJiYyadIkEhMTueGGG4iPj++VrSzO1Uvr97Kl4BjhAV788eqL+tRnF0L0PK6GsnuAQUCBUqqwZVsM0ACEK6XuOn6gi41kRR8U4udBea2t3X3vbzvE+9sO4edpZMqIcOYkRTJ1RDj+XtIxvbMcPHgQi8VCTk4ONpuN8PDw1tEwk8nE4MGD3Vxh97IcOMZfPtsDwDM/SqGfNIUVQriZq//iyfqT4rzkHa6hpsHeZruPh4G7pydgc2jW7Sghu7CKNduLWbO9GE+jgUkJocxOimBGYgT9/b3cUHnv1tjYiJdX89/bhg0bOHDgAKNGjcJsNhMTE9NnR4ZqGu3c804GDqfm1knxXJIQ5u6ShBACpXXv7r2anp6ut27d6u4yxBnUNNq54oWvyTtcQ2psEEeqGymqaL/dwMHyOtbllPBJTilb9pdz/NvToGBsfD9mJ0UyOylSmnmegdPpJD8/H4vFwp49e7jjjjsICgqioqICX19fPD1lROj+9zL5j+UQiVGBrLx9Al4muWUuhOgeSqltWuv0dvd1NJQppbyBk1YV1lrXnXt550dCWc+mteb2f1pYm1XC0HB/Vt0+ET8Xb0keqW7kv7mlfJxdwjd7y7A5vv9eTRkQxKykSOYkRzIkTJ6WA6irq2Pz5s1YrVaqqqrw9fXloosuYsKECQQEBLi7vB7jg8wi7vyXFS+TgQ/vnERChPzdCCG6z5lCmavNYwcCS4GpgF87h8ivmaJdr23MZ21WCf5eJl65YbTLgQwgLMCLn4yN4ydj46hqsPHFzsN8nF3C+l1HyDxUSeahSpas28XQcH/mtAS0pOjAPnVLzm63U1tbS1BQEE6nk40bNxIfH8+sWbMYPnw4JpPMyTtRYUU9j6xobsPymx+MlEAmhOhRXBopU0ptBLyB54FSTlmzUmu9rkuqc4GMlPVc3+wt4/rXv8Op4eXrRzMnObJTzttgc7Bh9xE+zinhs9zDVNZ///BATLAPs1sC2uiBIRgNF2ZAO3z4MFarle3btxMREcGNN94INI+W+fr6urm6nsnh1PzktW/ZvK+cGYnhvHZjep8K8EKInuG8R8oAMzBGa53beWWJC1lxZT13/tOKU8PPpwzptEAG4O1hZFZSJLOSIrE5nHyXX87HOcV8klNKYUU9y77ex7Kv9xHq78nMkRHMTopkwpBQPE2Gs5+8h9u5cydff/01hw4dwmAwMGLECMxmc+t+CWSn9/KXe9m8r5xQf2l/IYTomVwNZZlAGCChTJxVo93Bz/9h4WhtE5OGhvLLWV23mLNHyxOakxJCeXx+MtaDFXySU8JH2SUcKK/jX5sP8q/NBwnwMjEtMZzZSZFMHhbWoduo7qS1prCwkPDwcDw9PTl27BgNDQ3MnDmTlJQU/Pzam00gTpVxsIJnP90NNLe/kCd5hRA9kau3L5NonlO2FMgGTmo2pbU+0CXVuUBuX/Y8v16RxdvfHSA6yJsP7pzkln8AtdbsLKnm4+wS1uWUsLOkunWfl8nApcPCmJ0UyYzEcIJ9e97TiHV1dWzfvh2r1crhw4dZsGABqampOBwODAaDjPJ0QG2jncuWbqTgaB03T4znfy+/cJeMEkL0fJ1x+9IAhAMrOHk+mWr5Wib6CwDe33qQt787gKfRwEvXj3bbiIRSisSoQBKjArl35jD2H61lXU4JH2eXYDlQwac7Svl0RylGg2L84H7MabkdGhHo7ZZ6j7PZbKxatYqdO3ficDiIiYnhBz/4AYmJiQAYjfK/Wkf99oMcCo7WMSIygAfndN2orRBCnC9XR8osQAXNyyq1N9F/W5dU5wIZKes5sgsrufqlb2i0O3nqqlFcOzbO3SW1q7SqgU92lLIuu4RN+UdxOL//djbHBTOnpRfaoNDuuTVYVVVFcXExw4c3B4a33nqLsLAw0tLSiIiI6JYaLlRrs4r5xdsWvEwGPrhzEsPkaUshhJudd58ypVQdkKq13t3ZxZ0vCWU9w7HaJi5//isOHavn2jGxPHV171htq6Kuic9yD/NxTgkbdh+h0e5s3TciMqD1Sc4RkQGdesvQ4XCwe/durFYreXl5mEwmHnjgATw8PDrtGn1dUUU9c/6ygaoGO7+dn8SiCYPcXZIQQnTK7cvNQDzQ40KZcD+HU3P3uxkcOlbPRQOCeGx+krtLclmwrydXjx7A1aMHUNdk58tdza02Ps89zM6SanaWVPPcZ3uI6+fLnOTmETRzbDCG82i1sXv3blavXk1tbS0BAQFMmjQJs9ksgawTOZya+97LoKrBztThYdx48UB3lySEEGflaih7CfiLUuoZIIu2E/0tnV2Y6D2e++9uNuw+QoivBy9el4a3R++c9+TraWLuqCjmjoqiye7km71lrMsp5dMdzU9yvrohn1c35BMe4MWspOZWG+MH98fDeOZWGzabjZycHMLDw4mOjiY4OJjY2FjMZjNDhw7FYOj9rTp6mlc35PNtfjmh/p4suSZFHowQQvQKrt6+dJ5ht9Zau+1fYbl96V7/3VHKrW9txaDgrZvHMSkh1N0ldTqHU7Nt/7HWBwUKK+pb9wX5eDC9pdXGpQlhrMspYcm6XRRV1DE80MEPohuoKdlHY2Mj48aNY86cOW78JH3D9kMVXPXiN9idmjcWj2Hq8HB3lySEEK06Y07ZGcf+tdb7z7G28yahzH0Kymq5/PmvqG6w8+Cc4fxiylB3l9TltNbkFFW1BrQ9h2ta93kYFA6tcWqY6bmbAcYq7NpAWOxgFsyYRFxcnIzYdLG6JjuXLf2KfWW13DRhUK+6lS6E6BvOe06ZO0OX6Jnqmuz8z9+3Ud1gZ9bICH4+eYi7S+oWSimSY4JIjgni/lnD2Xukho+zi/kmYyeO8oN8Z4sDFAccwRxwBLPP0Y+wIwHcNVDmNHWHxz/Ywb6yWoZHBPDQ3BHuLkcIITrE5cksSqm5SqkPlVI7lFKxLdtuVUpN77ryRE+ktebh5VnsKq1mcKgfz/yob87Zqa6upminFUfWRwyrsjDEWE6gagBglyOcXY5wmjBRdMLtTtF1Ps4u5p0tB/E0GXjuJ6m9dm6jEKLvcimUKaWuA94D9tD8FObxx8SMwINdU5roqd78poBVGUX4ehp55YbRBHj3vacGi4qKePbZZ/n8888JDAzkyiuvZIPXOCq1T5tj/b1NuDJNQJy7ksoGHlqeBcDDc0cwIjLQzRUJIUTHufr05YPAT7XW7yilbj1h+7fA451fluipthSU8/s1zUugPv3Di0joI804y8vLsVqteHt7M3HiRCIjI5k8eTLJycn0798fgPsdhTy8PIt6m+Ok91Y32Hl63S4enD28T44odjVnS/uLijobk4eFcZP0IxNC9FKuhrIEYFM722sA+ZW0jzhc1cAv3rZgd2punRTPDy6KdndJXcpms5Gbm4vVaqWgoAClFKmpqQAYDAYmT578/9u78/CoyuuB49+TyQ4BQoAACWFfQ8hCWC1gEVyQukAFCogbgm1doWprW6s/rbVVVKxWkKUIskm1rVYFKWoVWQQmIZAAAmEJIAQCIQlZJjN5f3/MgDEGGCCZmWTO53nywMy9c+/JfZOZk3c593v735IcA+BafVlC6yZhXNO9BUs2HuSNz/dSYnPw5MgeV1TjTP3QnC+zWbc3j6gGwbxwWy9NfJVSdZa7SdkRoAtQdcL/YGBvjUakfFK5o4JfLLZyvLCMfu2b+sUk6o8++oj09HQiIyMZOnQoSUlJRERcuGfwluSYc8nZWYM6N+eXi60sWLefEpuD50YlYNHErEZsP3yaFz/ZBTh7bltEePfepUopdSXcTcreBF6tNHTZRkQGAX8BnqqNwJRv+eOHO9h84BQtG4Xy2vgUAi9SMLWuKS0tZfv27VitVm655RZatGhB//796dWrF+3atbui3pfhPaKZe0cqUxZtZvnmHErKHcwYk3jRorPqwoptdh5clka5wzBpQFuuqC3TnQAAHiZJREFU6a73CVVK1W3ulsT4i4g0BlYDocBnQBnwojHm9VqMT/mAf6cfZsG6/QRZhNcnpNA8IsTbIdUIYww5OTlYrVYyMzOx2+1ER0dTUuJcLVmTNwMf3KU5C+/ux90LNvH+1iOUlDt4bXwyIYG6QvByPfvhDrKPn6Fzi4Y8MaK7t8NRSqkr5lbx2HM7i4QDPXCu2swyxhRd5CW1TovH1q4d3xZw69++orS8gmdujuf2Ae28HdIVq6ioICAggLKyMmbMmIGIkJCQQEpKCq1atarVOUnpOflMmreRglI7g7s0Z/bE3oQFa2J2qVZlHmXqoi0EWwL41y+vokdrndqqlKobrriivy/TpKz2nC4p56bX1nIgr5hRKTHMqMP3EKyoqGDv3r1YrVYKCwuZPNk5En/w4EFatmxJcHCwx2LJOlLA7fM2knfGRt/2TZl/Zx8ahrg7k0AdKyjl+le+4FRxOb+7sTuTB3XwdkhKKeW2K67or/xPRYVh2vJ0DuQV06NVI567NaFOJmT5+flYrVbS09MpLCwkPDycpKQkHA4HFouFuLg4j8fUo3Ujlk8dwIS5G/h630kmzN3Iwrv60jjc/+q9XaqKCsP0d7ZyqricQZ2bcfdV7b0dklJK1Ridaayq9dpne1izM5fGYUHMmti7TlVHt9vtlJeXA7B//37Wrl1LdHQ0Y8aMYdq0aQwfPhyLxbvfT6cWDVkxdSCxkWFszcln3JwNnCgq82pMdcH8r/axds8JmjYIZsZtiVpeRClVr3i0p0xErgdm4rwTwFxjzPNVtk8AHnc9LAJ+bozZ6skYFXy+K5eX//sNIvDKuCTiosK9HZJbjh07RlpaGhkZGQwaNIgBAwYQHx9P+/btady4sbfD+4G4qHDemTqAiXM3suPbAsbOXs+Se/sT3UjLOlQn88hp/rLSWf7iz6N70UKvk1KqnvFYUiYiFuB1YDhwCNgkIu8bY7Iq7bYPGGKMOSUiN+AsxdHPUzEqyDlZzEPL0jEGHhnWhR93beHtkC7IGENaWhpWq5XDhw9jsVjo1q0bsbGxAAQFBflkQnZW6yZhLHclZruOFXLbrPUsntyPNk3rRiLsKSU2Bw8tS8fmqGBCvziG99DyF0qp+seTPWV9gT3GmGwAEVkG3AycS8qMMesq7b8BiPVgfH6vtNzB1EVbOF1SzjXdWvDA0E7eDqlaxhjy8vJo1qwZIsL27dux2Wxcd9119OrVi/DwupXQNI8IYdmU/kya/zXbDp9m7Oz1vD25Hx2aN/R2aD7jjx9lsSe3iI7NG/C7G3t4OxyllKoVnkzKYoCcSo8PceFesHuAj6vbICJTgCmAVyZq10fGGH77z+1kfVtA26hwXhqb5HPzdc6cOUNGRgZWq5W8vDweeeQRIiIiGDNmDCEhIXVyIcJZkQ2CWXxvP+7++yY2HzjFmNkbWDy5H11b+se9RS/kv1nHeHvDQYIswsxxyVpCRClVb3lyon91n5jV1uMQkR/jTMoer267MeZNY0yqMSa1efPmNRii/1q88SDvWg8RGhTArIm9aRzmOysB8/LyWLFiBS+99BKffPIJoaGhjBw5kpAQZxHb0NDQOp2QndUoNIiF9/Tlqk5RnCgqY9yb69l26LS3w/Kq3IJSHns3A4DHrutGzxjfHYpWSqkr5cmeskNAm0qPY3HeU/N7RKQXMBe4wRiT56HY/Jr14Cme/iATgOdH9aJ7K+8X4jx9+jRlZWW0aNGCwMBADhw4QN++fUlOTqZFC9+e53YlwoMDmXdHH36x2MqnO3MZP2cDf7+rD6ntmno7NI+rqDBMX7GVk2ds/KhTM+75kZa/UErVbx4rHisigcA3wDXAYWATMN4Yk1lpnzjgU2BSlfll56XFY6/M8cIyfvLXtRwtKOXOge146qZ4r8XicDjYtWsXVquVvXv30qlTJyZMmAB8V4XfX9jsFTyyPJ0Pt31LWJCFeXekMrBTM2+H5VHz1u7jmf9k0SQ8iFUPD9ZVqUqpesEniscaY+wicj+wCmdJjPnGmEwRuc+1fRbwJBAF/M01HGU/X+DqytkdFTyw1MrRglJS20Z69f6B69evZ+3atRQXF9OoUSMGDx5McnLyue3+lJABBAcGMHNcEiFBAbxnPcydCzYxa2IKQ7v5x6rDHd8W8OePdwLO8heakCml/IFH65QZYz4CPqry3KxK/58MTPZkTP7sL6t2sSH7JM0jQnh9QgrBgZ5LfGw2G1lZWcTHxxMU5Jy/1rZtW5KTk+nYsaPfJWHVCbQE8OJPEwkLsrB440GmLtrCzHHJjEho5e3QalVpuYMHl6Zhc1Tws75xXBff0tshKaWUR+htlvzUhxnf8uYX2QQGCK+PT/FIT4QxhiNHjmC1Ws+VsQgJCaF79+4MGDCAAQMG1HoMdU1AgPDsLT0JD7Yw58t93L/Eyou3JTIqpf5Wi/nTRzvYnVtEh+YN+P1I7/XeKqWUp2lS5od2Hyvk0X84b5TwxIju9G1f+5PIi4uLeeutt8jNzSUoKIj4+HiSk5Np06bNxV/s50SEJ0Z0Jyw4kFfX7Gb6iq2UlDuY0K+tt0OrcZ/uPMZb6w8QZBFeHZdMeLC+RSml/Ie+4/mZwtJypr69hWKbg5sSW3PXVe1q5TzGGPbt20d+fj4pKSmEhYURHR1Nnz596NmzJ6GhOkfoUogI04Z3ITzYwvMf7+S3/9xOic3B5EEdvB1ajTleWMajK5zlL6Zf21XLXyil/I4mZX7EGMOjKzLIPn6GrtERPD86ocbrexUUFJCenk5aWhr5+fk0btyYpKQkAgICGDVqVI2eyx/dN6Qj4cEWnvx3Js9+uIMSm4P7h3aq83XajDE8+o+t5J2xMbBjFFPqUbKplFLu0qTMj8z6XzYrM48SERLIrNt71/jQ0KZNm/j4448xxtC+fXuGDh1K9+7dddJ+DZs0oB2hQRZ+/W4GM1Z/Q3G5g8eu61qnE7O31u3n813HaRwWxIwxiT53NwmllPIETcr8xFd7TvDCKmeJgZfHJtG+WYMrPmZeXh5Wq5Xu3bsTGxtLXFwcV111FcnJyTRt6n/FTj1pTGobQoMsPLI8nTc+30uJzcGTI3vUyWRm59ECnnOVv3h+VAKtGod5OSKllPIOTcr8wOH8Eh5YmkaFgQeGdmJYj8uvdVVeXk5WVhZWq5WDBw8iIkRERBAbG0t0dDTR0f5RR8sX3JTYmtDAAO5fksaCdfspsTl4blQCljqUmJWWO3hoaTo2ewVjU9twQz0v96GUUheiSVk9V1ru4Bdvb+HkGRuDuzTn4WFdLvtYxhhmzZrFyZMnadq0Kddccw2JiYlEROhNs73l2viWzL0jlSmLNrN8cw4l5Q5mjEkkyFI3hoyf/3gnu44V0r5ZA578SQ9vh6OUUl6lSVk99/QHmWw9dJrYyDBmjk26pF6UkpIStm3bRnZ2NmPHjkVEuPrqq4mIiKBt27Z1eg5TfTK4S3Peuqsvdy/YxPtbj1BS7uC18cmEBFq8HdoFfbYrlwXr9hMYILwyNokGIfp2pJTyb/ouWI8t33SQpV/nEBIYwKyJvYlsEHzR1xhjOHDgAGlpaWRlZWG322nZsiVFRUVERESQkJDggcjVperXIYrF9/Zn0ryNrM46xr0LtzB7Ym/Cgn0zMTtR9F35i2nXdiGxTRMvR6SUUt6nSVk9lXEon9//23mv92dv6XnRmk/GGESEPXv2sGTJEkJCQkhKSiIlJYVWrXSeT12Q1KYJy6YM4PZ5G/nim+Pc8fevmX9nHxr6WA+UMYbH/pHBiaIy+rVvytTBHb0dklJK+QTferdWNeLkGRs/f9uKzV7B+H5x3JZafdX8iooKdu/eTVpaGq1atWLIkCF06NCBUaNG0a1bt3P3pFR1R4/WjVg+dQAT5m7g630nmTB3Iwvv6kvjcN9py0UbDvDpzlwahQby8iUOqSulVH2mSVk946gwPLg0jcP5JSS1acIfqpk8ffLkSdLS0khPT6eoqIgGDRoQFxcHgMVi0SHKOq5Ti4asmDqQ8XM3sDUnn3FzNrDonr40axji7dD45lghf/xwBwB/GtWL1k20/IVSSp2lSVk9M+OTXazdc4KoBsG8MTHl3GRvh8OBxeL8/5o1a9ixYwedOnUiJSWFzp07n9um6oe4qHDemTqAiXM3suPbAsbOXs+Se/t75Mbz51Na7uDBpWmU2Su4rXcsN/bSYXGllKpMjDHejuGKpKamms2bN3s7DJ+wKvMoUxdtIUDg7cn9GNixGUePHiUtLY1t27Zxzz33EBUVRV5eHkFBQTRq1MjbIatadrywjIlzN7LrWCFxTcNZPLkfbZqGeyWWZ/6Txby1+2gbFc6HDw7yubluSinlCSKyxRiTWt22ulHMSF1U9vEifvXOVgAeG96J4FP7mTNnDrNnz2bLli107NiRswl4VFSUJmR+onlECMum9CchpjEHTxYzdvZ6so8XeTyOL745zry1+7AECDPHJWtCppRS1dCkrB44U2Zn6sLN2MpKGJHQkkn927By5UrsdjvXX38906ZNY/To0TRr1szboSoviGwQzOJ7+5HaNpIjp0sZM3sDu44Weuz8eUVlTF/h/IPhkWGdSdLyF0opVS0dvqzjioqKePqtj7HnZhMQGMTTjz1Iw5BATp06RZMmTbTAqzqn2Gbn3oWb+WpPHpHhQSy8ux8JsRculXKljDHcu3Az/92RS992TVk6pb+utlRK+TUdvqyHcnJyeOedd5jx0ks0PJFFuQRy7ZCBNHAVC42MjNSETH1PeHAg8+7ow9BuLThVXM74ORvYvP9krZ5z8caD/HdHLhGhgbw8TstfKKXUhWhSVofk5+dTVlYGQG5uLnuy95FZ3oL3SuO5cfR4rhvcXxMxdUGhQRZmTezNjQmtKCyzc/u8r1m350StnGtPbiHPfpgFwHO3JhCj5S+UUuqCNCnzcXa7nczMTBYtWsTMmTPZutU5N6dlu678szyJr8vbMG5wPDckaHkB5Z7gwABmjktiVEoMJeUO7lywiU93HqvRc5TZHTy4NJ3S8gpGpcTwk8TWNXp8pZSqj3QJlI+qqKhg9erVbN26lZKSEho3bsyQIUPo2rUrNnsFDyzfyvEzdgZ2jOLRa7t6O1xVxwRaAnjxp4mEBVlYvPEgUxdtYea4ZEbUUHL/4qpdZH1bQFzTcJ6+Kb5GjqmUUvWdJmU+xGazcejQITp06EBAQADHjh2jffv2JCcnn3sO4Ml/b8d6MJ9WjUP568+SCbRoh6e6dAEBwrO39CQ82MKcL/dx/xIrL96WyKiU2Cs67trdJ5jzpbP8xSvjkogI9Z1bPCmllC/TpMzLjDEcPnwYq9VKZmYmdrud6dOnEx4ezu233/6DOWLvWQ+xcP0Bgi0BvDGxN1E+cOscVXeJCE+M6E5YcCCvrtnN9BVbKSl3MKFf28s63skzNqa9kw7AQ9d0JiUusibDVUqpek2TMi/Kycnhgw8+4Pjx4wQFBREfH09KSgphYc4J0VUTsswjp/nNe9sAeOqmeK33pGqEiDBteBfCgy08//FOfvvP7ZTYHEwe1OGSjmOM4fF3M8gtLCO1bSS/uLpjLUWslFL1kyZlHmSMITs7m9DQUGJiYmjYsCHBwcGMHDmSnj17EhJy/l6v08Xl3Pf2FsrsFYxJjeVnfdt4MHLlD+4b0pGwIAt/eD+TZz/cQYnNwf1DO7m9onfp1zmszjpGREggL49N0mF1pZS6RJqUecDp06dJT08nLS2N06dP07NnT0aPHk1kZCSTJ0++6OsrKgwPL08j52QJPWMa8X8399TSF6pW3DGwHWHBFn79bgYzVn9DcbmDx67retGftz25RfzffzIBePbWnl67v6ZSStVlmpTVsg8++ACr1QpAhw4dGDZsGN26dbukY8xcs5vPdh2nSXgQb0zoTWiQpTZCVQqAMaltCA2y8MjydN74fC8lNgdPjuxBwHkKv9rsFTy8PI3S8gpuTY7h5qQYD0eslFL1gyZlNezEiRNkZGQwZMgQLBYLLVu2ZNCgQSQnJxMZeemTnj/deYyZa3YjAq+OS9YeCOURNyW2JjQwgPuXpLFg3X5KbA6eG5VQbUX+Gat3sf1wAbGRYTx9s5a/UEqpy6VJWQ2w2WxkZWWRlpbGwYMHCQgIoFOnTsTFxdGnT5/LPu6BvDM8vMy5ku1X13ZlcJfmNRWyUhd1bXxL5t6RypRFm1m+OYeScgczxiQSVGmu2Lo9J3jzi2wCBGaOS6KRlr9QSqnLpknZFTp58iSzZ8/GZrMRFRXFsGHDSExMpGHDhld03BKbg/vetlJQamdY92h+PkRXsinPG9ylOW/d1Ze7F2zi/a1HKCl38Nr4ZEICLZw6Y2PaO1sxBh68pjO92zb1drhKKVWniTHGcycTuR6YCViAucaY56tsF9f2EUAxcKcxxnqhY6ampprNmzfXUsQ/VFJSQkZGBg6Hg4EDB2KMYfXq1XTt2pW4uLgrnoD/r7TDvLBqJ4fzSwFo1jCYT391tfZAKK9Kz8ln0ryNFJTa6doygsKSco6cdv6Mtm0axprpV+tqS6WUcoOIbDHGpFa3zWPvoiJiAV4HbgB6AD8TkR5VdrsB6Oz6mgK84an4LsQYw759+3jvvfeYMWMGK1euZO/evRhjEBGuvfZa2rZtWyMJ2W/e23YuIQMoLLXz6Y7cK/0WlLoiSW2asGzKABoEW9h1tPBcQgZwtKCM/2R868XolFKqfvDk8GVfYI8xJhtARJYBNwNZlfa5GVhonN13G0SkiYi0MsZ49R1/zZo1fPXVV4SGhpKSkkJKSgotW7as8fO8sGoXJeWO7z1XZq/ghVW7uCVZV7Qp7+rRuhENQgI5Y9OfUaWUqg2eTMpigJxKjw8B/dzYJwb4XlImIlNw9qQRFxdX44FW1atXL6Kjo+nWrRtBQbU3jHgkv+SSnlfK044XllX7vP6MKqXUlfPkJJDqxvaqTmhzZx+MMW8aY1KNManNm9f+isQWLVqQkJBQqwkZQOsmYZf0vFKepj+jSilVezyZlB0CKt8bKBY4chn71FuPXteVsCqFYcOCLDx6XVcvRaTU9+nPqFJK1R5PJmWbgM4i0l5EgoFxwPtV9nkfmCRO/YHT3p5P5km3JMfwp1EJxDQJQ4CYJmH8aVSCztVRPkN/RpVSqvZ4uiTGCOAVnCUx5htj/igi9wEYY2a5SmK8BlyPsyTGXcaYC9a78HRJDKWUUkqpy3WhkhgeLR5rjPkI+KjKc7Mq/d8Av/RkTEoppZRSvkCrPSqllFJK+QBNypRSSimlfIAmZUoppZRSPkCTMqWUUkopH+DR1Ze1QUSOAwc8cKpmwAkPnEe5T9vE92ib+CZtF9+jbeKbPNEubY0x1Va+r/NJmaeIyObzLWFV3qFt4nu0TXyTtovv0TbxTd5uFx2+VEoppZTyAZqUKaWUUkr5AE3K3PemtwNQP6Bt4nu0TXyTtovv0TbxTV5tF51TppRSSinlA7SnTCmllFLKB2hSppRSSinlAzQpq0RErheRXSKyR0R+Xc12EZFXXdszRCTFG3H6GzfaZYKrPTJEZJ2IJHojTn9ysTaptF8fEXGIyE89GZ+/cqddRORqEUkXkUwR+Z+nY/Q3brx/NRaRD0Rkq6tN7vJGnP5EROaLSK6IbD/Pdq991mtS5iIiFuB14AagB/AzEelRZbcbgM6urynAGx4N0g+52S77gCHGmF7AM+gE2lrlZpuc3e/PwCrPRuif3GkXEWkC/A24yRgTD9zm8UD9iJu/K78EsowxicDVwAwRCfZooP5nAXD9BbZ77bNek7Lv9AX2GGOyjTE2YBlwc5V9bgYWGqcNQBMRaeXpQP3MRdvFGLPOGHPK9XADEOvhGP2NO78rAA8A7wK5ngzOj7nTLuOB94wxBwGMMdo2tcudNjFAhIgI0BA4Cdg9G6Z/McZ8gfM6n4/XPus1KftODJBT6fEh13OXuo+qWZd6ze8BPq7ViNRF20REYoBbgVkejMvfufO70gWIFJHPRWSLiEzyWHT+yZ02eQ3oDhwBtgEPGWMqPBOeOg+vfdYHeuIkdYRU81zVeiHu7KNqltvXXER+jDMp+1GtRqTcaZNXgMeNMQ5nB4DyAHfaJRDoDVwDhAHrRWSDMeab2g7OT7nTJtcB6cBQoCOwWkS+NMYU1HZw6ry89lmvSdl3DgFtKj2OxfmXy6Xuo2qWW9dcRHoBc4EbjDF5HorNX7nTJqnAMldC1gwYISJ2Y8y/PBOiX3L3PeyEMeYMcEZEvgASAU3Kaoc7bXIX8LxxFg3dIyL7gG7A154JUVXDa5/1Onz5nU1AZxFp75pkOQ54v8o+7wOTXCsz+gOnjTHfejpQP3PRdhGROOA94Hb9i98jLtomxpj2xph2xph2wD+AX2hCVuvceQ/7NzBIRAJFJBzoB+zwcJz+xJ02OYiz5xIRiQa6AtkejVJV5bXPeu0pczHG2EXkfpwrxSzAfGNMpojc59o+C/gIGAHsAYpx/oWjapGb7fIkEAX8zdUzYzfGpHor5vrOzTZRHuZOuxhjdojISiADqADmGmOqLQugrpybvyvPAAtEZBvOYbPHjTEnvBa0HxCRpThXujYTkUPAH4Ag8P5nvd5mSSmllFLKB+jwpVJKKaWUD9CkTCmllFLKB2hSppRSSinlAzQpU0oppZTyAZqUKaWUUkr5AE3KlFJ1moj8R0QWVHr8uYi85oU4momIEZGrPX1u1/n3i8ivvHFupVTN0DplSqn6ZhRQ7s6OrgTqM6C51oZSSnmb9pQppbzOVe28RhhjThpjCmvqeN5Wk9dGKeXbNClTStUo1/DhLBGZKSKnXF8viEhApX32i8hTIjJfRPKBxa7nB4rI/0SkWEQOi8gbItKo0uvCRWSBiBSJyDEReeI853+t0uNgEXlORA6ISJmIZIvIgyLSDmcvGcBx19DjAtdrREQeE5G9IlIiIttEZGKV8/QRkS0iUioiaThvWVSb12aUK44yEckRkd+K/OBu7w1F5G3X9Tmqw5lK1S2alCmlasMEnO8vA4CpwBTg4Sr7TAN24rx5+RMikgB8gvO+c4k4hyGTgPmVXvMiMBwYjfN+gcnA4IvE8hYwyXW+7sA9QD6Q4zoOQDzQCnjI9fhZ136/BHoAfwJmi8iNACLSAPgQ5z0KU4Ffu2Jzx+Vcm97ACpz3eE1wne83wP3VvG4HkILz1jHPicgoN+NSSnmZ3mZJKVWjRORzoDXQ1bjeYETkd8B9xphY1+P9wDZjzE8qvW4hUG6MuafSc0lAGhCN8x50ecDdxpizvUcNgUPAv4wxd1Y6/3ZjzP0i0hn4BrjBGLOymlivpsqcMlfCdQK41hjzZaV9XwG6GGNGiMgU4C9ArDGmyLV9IrAI+LEx5vMavjaLgVbGmKGVnnsKmFzldbuNMcMr7TMX6GaM+VF18SilfIv2lCmlasMG8/2/+NYDMZWHIoHNVV7TG5joGnorEpEi4CvXto6ur2DXsQBwJUTbLhBHMs4bb392gX2q6gGEAiurxPJzVwzg7HHLOJuQVfoe3XE516Y7312Ls9ZW87qqMax3fT9KqTpAV18qpbzlTJXHAcBc4OVq9j0MdL2Mc1Sdc+WOs3+s/gQ4WGXb2VWdl3PcS1H12ghwvmENHe5Qqp7QpEwpVRv6iYhU6hHqDxwxxhRc4DVWIN4Ys6e6jSKyB2dS1B/nXK6zQ409gb0XOGYA8GPgB8OXgM31r6XSc1lAGdDWGPPpeY6bBdwhIg2MMWcTqP7n2beqy7k2WUDVIcgfAYeqrDStGkN/nHPMlFJ1gA5fKqVqQ2vgFRHpKiI/BR6l+h6wyv4M9HWtTkwWkU4iMlJEZsO5ocp5wJ9FZLiIxONcBGA53wGNMbuBd4C5IjJaRNqLyCARud21ywGcPU03ikhzEWnoSnJeBF4UkbtdcSSJyH2uuWQASwA7MF9E4kVkOPDbWrw2M4AhrlWZXURkAjAd57y2yvqLyG9EpLOI3ItzgcPFjq2U8hHaU6aUqg2LcSZLG3EmPfO4SHJgjMkQkcE4Vz7+z/X6bOCflXb7FdDA9Vwx8FfX4wuZBDwDvAo0w7kw4GXXOQ+LyB+AP+IcOl0I3An8HjjmOt8bQAGQjisJMsYUichI1zYrzpWSj+NcOXoxl3NtrCJyG/A08IQrtueBqncueAnohTNBPAM8aYz5hxsxKaV8gK6+VErVqMqrH70di6/Ra6OUuhAdvlRKKaWU8gGalCmllFJK+QAdvlRKKaWU8gHaU6aUUkop5QM0KVNKKaWU8gGalCmllFJK+QBNypRSSimlfIAmZUoppZRSPuD/AX5RY3qIwimFAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"for model_str, pred_prob_dict in model_to_probs.items():\n",
" pred_probs = pred_prob_dict['test']\n",
"\n",
" pred_probs_space = np.linspace(pred_probs.min(), pred_probs.max(), 10)\n",
"\n",
" empirical_probs = []\n",
" pred_probs_midpoints = []\n",
"\n",
" for i in range(len(pred_probs_space)-1):\n",
" empirical_probs.append(np.mean(test_y[(pred_probs > pred_probs_space[i]) & (pred_probs < pred_probs_space[i+1])]))\n",
" pred_probs_midpoints.append((pred_probs_space[i] + pred_probs_space[i+1])/2)\n",
"\n",
" plt.figure(figsize=(10,4))\n",
" plt.plot(pred_probs_midpoints, empirical_probs, linewidth=2, marker='o')\n",
" plt.title(f\"{model_str}\", fontsize=20)\n",
" plt.xlabel('predicted prob', fontsize=14)\n",
" plt.ylabel('empirical prob', fontsize=14)\n",
" \n",
" plt.plot([0,1],[0,1],linestyle='--',color='gray')\n",
" \n",
" plt.legend(['original', 'ideal'], fontsize=20)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Calibrate"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\numpy\\core\\fromnumeric.py:3335: RuntimeWarning: Mean of empty slice.\n",
" out=out, **kwargs)\n",
"C:\\Users\\ritvik\\Anaconda3\\lib\\site-packages\\numpy\\core\\_methods.py:161: RuntimeWarning: invalid value encountered in double_scalars\n",
" ret = ret.dtype.type(ret / rcount)\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"model_str_to_calibrator = {}\n",
"\n",
"for model_str, pred_prob_dict in model_to_probs.items():\n",
" #train calibration model\n",
" lr_model = LogisticRegression()\n",
" lr_model.fit(pred_prob_dict['test'].reshape(-1,1), test_y)\n",
" \n",
" pred_probs = pred_prob_dict['valid']\n",
"\n",
" pred_probs_space = np.linspace(pred_probs.min(), pred_probs.max(), 10)\n",
"\n",
" empirical_probs = []\n",
" pred_probs_midpoints = []\n",
"\n",
" for i in range(len(pred_probs_space)-1):\n",
" empirical_probs.append(np.mean(valid_y[(pred_probs > pred_probs_space[i]) & (pred_probs < pred_probs_space[i+1])]))\n",
" pred_probs_midpoints.append((pred_probs_space[i] + pred_probs_space[i+1])/2)\n",
"\n",
" calibrated_probs = lr_model.predict_proba(np.array([0.0]+pred_probs_midpoints+[1.0]).reshape(-1,1))[:,1]\n",
" \n",
" plt.figure(figsize=(10,4))\n",
" plt.plot(pred_probs_midpoints, empirical_probs, linewidth=2, marker='o')\n",
" plt.title(f\"{model_str}\", fontsize=20)\n",
" plt.xlabel('predicted prob', fontsize=14)\n",
" plt.ylabel('empirical prob', fontsize=14)\n",
" \n",
" plt.plot([0.0]+pred_probs_midpoints+[1.0], calibrated_probs, linewidth=2, marker='o')\n",
" \n",
" plt.plot([0,1],[0,1],linestyle='--',color='gray')\n",
" \n",
" plt.legend(['original', 'calibrated', 'ideal'], fontsize=20)\n",
" \n",
" model_str_to_calibrator[model_str] = lr_model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# How do we use this?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## (1) Get base model"
]
},
{
"cell_type": "code",
"execution_count": 88,
"metadata": {},
"outputs": [],
"source": [
"clf = model_str_to_trained_model['rf']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## (2) Get calibration layer "
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {},
"outputs": [],
"source": [
"lr = model_str_to_calibrator['rf']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## (3) Get calibrated predicted probability using model + calibration"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [],
"source": [
"new_sample = np.array([[1, 0, 0.6, 110, 1, 0, 0, 1, 85, 170, 0]])"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Uncalibrated Prob: 0.14\n"
]
}
],
"source": [
"uncal_prob = clf.predict_proba(new_sample)[:,1][0]\n",
"print('Uncalibrated Prob:', uncal_prob)"
]
},
{
"cell_type": "code",
"execution_count": 87,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Calibrated Prob: 0.2553911858824181\n"
]
}
],
"source": [
"cal_prob = lr.predict_proba(np.array([[uncal_prob]]))[:,1][0]\n",
"print('Calibrated Prob:', cal_prob)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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