examples/conditional_feature_distr.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.svm import SVC\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.metrics import plot_confusion_matrix\n",
    "\n",
    "from presc.conditional_feature_distribution.conditional_feature_distribution import *\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set up the test dataset wine quality\n",
    "dataset = pd.read_csv(\"../../datasets/winequality.csv\")\n",
    "dataset = dataset.drop(columns=[\"quality\"])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# wine dataset\n",
    "X = dataset.iloc[:,:-1]\n",
    "y = dataset.iloc[:,-1] \n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.5806, random_state=0)\n",
    "\n",
    "scaler = StandardScaler().fit(X_train)\n",
    "X_train_scaled = scaler.transform(X_train)\n",
    "X_test_scaled = scaler.transform(X_test)\n",
    "\n",
    "classifier = SVC(kernel=\"linear\", decision_function_shape=\"ovr\", class_weight=\"balanced\")\n",
    "classifier.fit(X_train_scaled, y_train)\n",
    "y_predicted = classifier.predict(X_test_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<sklearn.metrics._plot.confusion_matrix.ConfusionMatrixDisplay at 0x7fc1cd4e97d0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_confusion_matrix(classifier, X_test_scaled, y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_all_histogram_conditional_feature_distribution(y_predict= y_predicted, feature_column= X_test.pH, y_actual= y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# try some categorical data\n",
    "artificial_feature_column = [\"1\" for _ in range(len(y_test)-20)]\n",
    "artificial_feature_column.extend([\"something\" for _ in range(20)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_all_histogram_conditional_feature_distribution(y_predict= y_predicted, feature_column=artificial_feature_column, y_actual= y_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# now try the vehicles dataset that is 4 x 4\n",
    "dataset = pd.read_csv(\"../../datasets/vehicles.csv\")\n",
    "\n",
    "X = dataset.iloc[:,:-1]\n",
    "y = dataset.iloc[:,-1] \n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.40, random_state=0)\n",
    "\n",
    "scaler = StandardScaler().fit(X_train)\n",
    "X_train_scaled = scaler.transform(X_train)\n",
    "X_test_scaled = scaler.transform(X_test)\n",
    "\n",
    "classifier = SVC(kernel='linear', decision_function_shape='ovo')\n",
    "classifier.fit(X_train_scaled, y_train)\n",
    "y_predicted = classifier.predict(X_test_scaled)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "# try some categorical data\n",
    "artificial_feature_column = [\"1\" for _ in range(len(y_test)-40)]\n",
    "artificial_feature_column.extend([\"something\" for _ in range(20)])\n",
    "artificial_feature_column.extend([\"Else\" for _ in range(20)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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b4RVJkkZqItfqWWRNupunbLDiy5EkjdpQbfxVdfPA47dV9RHgqaMtTZI0CsM29eww0Lsa3TeAB42kIknSSA3b1POhge67gauBF6zwaiRJIzfsWT27jboQSdLkGLap55+WNL6q/n3FlCNJGrWJnNWzE3BK698b+CFw7SiKkiSNzkRuxLJDVd0OkORw4MSqeuWoCpMkjcawl2zYErhroP8uYNYKr0aSNHLD7vEfC5yb5Ot0v+B9LvDFkVUlSRqZYc/qeW+S7wC7tEF/X1U/H11ZkqRRGbapB2Bt4Laq+ihwXZK/GlFNkqQRGvbWi+8A3gIc1gatARw3qqIkSaMz7B7/c4F9gDsBqup6vGSDJK2Shg3+u6qqaJdmTrLO6EqSJI3SsMF/QpIjgfWSvAr4Pt6URZJWSUs9qydJgK8CjwJuAx4J/EtVnT7i2iRJI7DU4K+qSvKNqtoRMOwlaRU3bFPP2Ul2msiCk2yR5L+SXJrkl0le14ZvkOT0JJe35/UnXLUkaZkNG/y70YX/FUkuTHJRkguXMs/dwBur6tHAE4FDkmwLzAXOqKptgDNavyRpkiyxqSfJllV1DfDMiS64quYD81v37UkuBTYD9gV2bZMdA5xJ9xsBSdIkWFob/zforsr5myQnVdXzlmUlSWYBjwPOATZuHwpU1fwkGy1mnoOAgwC23HLLZVmtJGkcS2vqyUD3w5ZlBUnWBU4CXl9Vtw07X1UdVVWzq2r2zJkzl2XVkqRxLC34azHdQ0myBl3oH19V/7cNvjHJJm38JsCCiS5XkrTslhb82yW5LcntwF+37tuS3J5kiXvv7fz/zwGXjrk14ynAnNY9Bzh5WYuXJE3cEtv4q2rGcix7Z+BA4KIkF7RhbwWOoPsl8CuAa4D9lmMdkqQJGvZGLBNWVT/mvscIBu0+qvVKkpZsItfjlyRNAwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzIwv+JJ9PsiDJxQPDNkhyepLL2/P6o1q/JGl8o9zjPxrYc8ywucAZVbUNcEbrlyRNopEFf1X9EPjdmMH7Ase07mOA54xq/ZKk8U12G//GVTUfoD1vNMnrl6TeW2kP7iY5KMm8JPMWLlw41eVI0rQx2cF/Y5JNANrzgsVNWFVHVdXsqpo9c+bMSStQkqa7yQ7+U4A5rXsOcPIkr1+Sem+Up3N+GTgLeGSS65K8AjgC2CPJ5cAerV+SNIlWH9WCq+pFixm1+6jWKUlaupX24K4kaTQMfknqGYNfknrG4JeknjH4JalnDH5J6hmDX5J6xuCXpJ4x+CWpZwx+SeoZg1+SemZk1+qRltWsuadOdQnT1tVHPGuqS9BKwD1+SeoZg1+Sesbgl6SeMfglqWcMfknqGYNfknrG4JeknjH4JalnDH5J6hmDX5J6xuCXpJ4x+CWpZwx+SeoZg1+Sesbgl6SeMfglqWe8EYuk5ebNc0ZnFDfPcY9fknrG4JeknjH4JalnDH5J6hmDX5J6ZkqCP8meSX6V5NdJ5k5FDZLUV5Me/ElmAP8BPBPYFnhRkm0nuw5J6qup2ON/PPDrqrqyqu4CvgLsOwV1SFIvTcUPuDYDrh3ovw54wtiJkhwEHNR670jyq0mobWWwIXDTVBcxjLx/qitYKawy7xf4njV9es+2Gm/gVAR/xhlW9xtQdRRw1OjLWbkkmVdVs6e6Dg3H92vV43s2NU091wFbDPRvDlw/BXVIUi9NRfCfB2yT5K+SPAB4IXDKFNQhSb006U09VXV3kn8EvgfMAD5fVb+c7DpWYr1r3lrF+X6tenr/nqXqfs3rkqRpzF/uSlLPGPyS1DMG/0oiyeeTLEhy8VTXoolJsl6Sgwf6d03yrcVM+1l/qT46Se5JcsHAY24bfmaSXp/COcg7cK08jgY+AXxxiuvQxK0HHAx8cmkTVtUrR15Nv/2+qraf6iJWdu7xrySq6ofA76a6jukkyTpJTk3yiyQXJ9k/ye5Jfp7kovYt64Ft2quT/GuSs5LMS7JDku8luSLJqweW+eYk5yW5MMk72+AjgK3bHuYH2rB1k3wtyWVJjk+SNv9f9jyT3JHkva2+s5Ns3IZv3frPS/KuJHdM2os2zSWZkeTo9vdwUZI3tOFbJ/lukvOT/CjJo6a61lEy+DWd7QlcX1XbVdVjgO/SfbPav6oeS/eN9/8MTH9tVT0J+FGb7vnAE4F3ASR5OrAN3fWmtgd2TPIUYC5wRVVtX1Vvbst6HPB6ugsRPgzYeZz61gHOrqrtgB8Cr2rDPwp8tKp2wh83TtRaY5p69h8zfntgs6p6TPsb+EIbfhTwmqraEXgTQ3x7W5UZ/JrOLgKeluT9SXYBZgFXVdV/t/HHAE8ZmP6UgfnOqarbq2oh8Ick6wFPb4+fAz8DHkX3QTCec6vquqr6M3BBW/dYdwGLjgWcPzDNk4ATW/eXhtlQ/cXv2wfwosdXx4y/EnhYko8n2RO4Lcm6wJOBE5NcABwJbDK5ZU8u2/g1bVXVfyfZEdgLeB9w2lJm+WN7/vNA96L+1emuM/W+qjpycKYks5awLIB7GP9/7U917w9pFjeNVqCquiXJdsAzgEOAF9B9M7u1T8cG3OPXtJVkU+D/VdVxwAfp9upmJXl4m+RA4AcTWOT3gJe3PUSSbJZkI+B24EErrnLOBp7Xul+4Apfbe0k2BFarqpOAfwZ2qKrbgKuS7NemSftwmLbcw1hJJPkysCuwYZLrgHdU1eemtqpV3mOBDyT5M/Anuvb8B9N9pV+d7rpRnx52YVV1WpJHA2e1Y7V3AC+pqiuS/KSdivsd4NTlrPv1wHFJ3tiW9T/Lubw+Was11yzy3aoavMvfZsAXkiza6T2sPR8AfCrJ24E16O4T8otRFztVvGSDtJJJsjZdW3UleSHwoqryZkVaYdzjl1Y+OwKfaKeA3gq8fGrL0XTjHr8k9YwHdyWpZwx+SeoZg1+SesbgV68leW2SS5McP8H5ZiV58ajqkkbJ4FffHQzsVVUHTHC+WcCEgz/JjInOI61oBr96K8mn6S6gdkqSt7WrdZ7Xrt65b5tmVrta48/a48lt9iOAXdqFwN6Q5GVJPjGw7G8l2bV139GusnkO8KQkL0lybpv3SD8MNNkMfvVWVb2a7uqXu9FdKfM/2xUxd6P7xe86wAJgj6raAdgf+FibfS7wo3YhsA8vZVXrABdX1ROAm9tydm7XhrmH7lej0qTxB1xS5+nAPkne1PrXBLak+2D4RJLt6UL6Ecuw7HuAk1r37nQ/0DqvXfZhLboPF2nSGPxSJ8DzqupX9xmYHA7cCGxH9w35D4uZ/27u+w16zYHuP1TVPQPrOaaqDkOaIjb1SJ3vAa8ZuFPW49rwBwPz23X1DwQWtcePvSLn1cD2SVZLsgXdzVrGcwbw/HZVT5JskGSrFbol0lIY/FLn3XRXZbywXWXz3W34J4E5Sc6ma+a5sw2/ELi73TbxDcBPgKvobuLyQbobtdxPVV0CvB04LcmFwOlM85t+aOXjtXokqWfc45eknjH4JalnDH5J6hmDX5J6xuCXpJ4x+CWpZwx+SeqZ/w/OgviaQ+DwpgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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kfnlLkrTyGPasnrHfyP30aMuRJI3asPfquZgJ+vSr6oErvCJJ0khN5l49Y9YEngVsuOLLkSSN2lB9/FV17cDjsqr6MPC40ZYmSRqFYbt6thsYXY3uG8B6I6lIkjRSw3b1fHBg+HZgEfDsFV6NJGnkhj2rZ9dRFyJJmhrDdvX889LmV9WHVkw5kqRRm8xZPTsAJ7TxpwGnApeMoihJ0uhM5odYtquqmwCSHAwcV1UvGVVhkqTRGPaWDXOA2wbGbwPmrvBqJEkjN+we/xeAM5J8je4K3r2Ao0ZWlSRpZIY9q+c9Sb4N7Nwm/WNV/XR0ZUmSRmXYrh6AtYEbq+ojwKVJ/nJENUmSRmjYn158O/Bm4MA26V7A0aMqSpI0OsPu8e8FPB24BaCqLsdbNkjSKmnY4L+tqop2a+Yk64yuJEnSKA0b/F9JchiwQZKXAt/DH2WRpFXSMs/qSRLgy8BDgBuBBwNvq6qTl7He54CnAldX1TZt2oZtW3NpN3qrquvvQf2SpEla5h5/6+L5elWdXFVvrKo3LCv0myOAJ42bdgBwSlVtBZzSxiVJU2jYrp7TkuwwmQ1X1anAdeMm7wkc2YaPBJ4xmW1Kku65Ya/c3RV4eZJFdGf2hO7LwF9Psr2Nq+oKupWvSLLRJNeXJN1DSw3+JHOq6nfAk6eonsG29wP2A5gzZ85UNy9JM9ayunq+DlBVvwU+VFW/HXwsR3tXJdkEoP179ZIWrKrDq2p+Vc2fPXv2cjQlSZrIsoI/A8MPXAHtnQDs24b3Bb6xArYpSZqEZQV/LWF4mZJ8EfgJ8OAklyZ5MXAI8PgkvwYe38YlSVNoWQd3t01yI92e/1ptGP7/4O5fLGnFqnruEmbtNvkyJUkrylKDv6pWn6pCJElTYzK3ZZYkzQAGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUM2tMR6NJFgE3AXcAt1fV/OmoQ5L6aFqCv9m1qq6ZxvYlqZfs6pGknpmu4C/gpCRnJdlvmmqQpF6arq6enarq8iQbAScn+UVVnTq4QPtA2A9gzpw501GjJM1I07LHX1WXt3+vBr4G7DjBModX1fyqmj979uypLlGSZqwpD/4k6yRZb2wYeAJw3lTXIUl9NR1dPRsDX0sy1v6xVfWdaahDknppyoO/qi4Ctp3qdiVJHU/nlKSeMfglqWcMfknqmem8ZYM0obkHnDjdJcxYiw55ynSXoJWAe/yS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DMGvyT1jMEvST1j8EtSzxj8ktQzBr8k9YzBL0k9Y/BLUs8Y/JLUMwa/JPWMwS9JPWPwS1LPGPyS1DNrTHcBklZ9cw84cbpLmLEWHfKUFb5N9/glqWcMfknqGYNfknrG4JeknjH4JalnpiX4kzwpyS+T/CbJAdNRgyT11ZQHf5LVgX8HngxsDTw3ydZTXYck9dV07PHvCPymqi6qqtuALwF7TkMdktRL03EB12bAJQPjlwKPHL9Qkv2A/drozUl+OQW1rQxmAddMdxHDyPumu4KVwirzfoHvWdOn92yLiSZOR/Bngml1twlVhwOHj76clUuSBVU1f7rr0HB8v1Y9vmfT09VzKbD5wPgDgMunoQ5J6qXpCP4zga2S/GWSewPPAU6YhjokqZemvKunqm5P8krgu8DqwOeq6udTXcdKrHfdW6s4369VT+/fs1TdrXtdkjSDeeWuJPWMwS9JPWPwrySSfC7J1UnOm+5aNDlJNkiy/8D4Lkn+cwnLfsYr1UcnyR1JFg48DmjTv5+k16dwDvIXuFYeRwAfB46a5jo0eRsA+wOfWNaCVfWSkVfTb3+oqnnTXcTKzj3+lURVnQpcN911zCRJ1klyYpKfJTkvyd5Jdkvy0yTntm9Z92nLLkry3iQ/SbIgyXZJvpvkwiQvH9jmG5OcmeScJO9okw8Btmx7mO9v09ZN8tUkv0hyTJK09e/c80xyc5L3tPpOS7Jxm75lGz8zyTuT3DxlL9oMl2T1JEe0v4dzk7yuTd8yyXeSnJXkh0keMt21jpLBr5nsScDlVbVtVW0DfIfum9XeVfVwum+8/zSw/CVV9Wjgh225ZwKPAt4JkOQJwFZ095uaB2yf5LHAAcCFVTWvqt7YtvUI4LV0NyJ8ILDTBPWtA5xWVdsCpwIvbdM/AnykqnbAixsna61xXT17j5s/D9isqrZpfwOfb9MPB15VVdsDb2CIb2+rMoNfM9m5wO5J3pdkZ2AucHFV/arNPxJ47MDyJwysd3pV3VRVi4Fbk2wAPKE9fgqcDTyE7oNgImdU1aVV9WdgYWt7vNuAsWMBZw0s82jguDZ87DBPVHf6Q/sAHnt8edz8i4AHJvlYkicBNyZZF3gMcFyShcBhwCZTW/bUso9fM1ZV/SrJ9sAewL8CJy1jlT+2f/88MDw2vgbdfab+taoOG1wpydylbAvgDib+v/an+v8LaZa0jFagqro+ybbAE4FXAM+m+2Z2Q5+ODbjHrxkryabA/1bV0cAH6Pbq5iZ5UFvk+cAPJrHJ7wIvanuIJNksyUbATcB6K65yTgP+vg0/ZwVut/eSzAJWq6rjgX8BtquqG4GLkzyrLZP24TBjuYexkkjyRWAXYFaSS4G3V9Vnp7eqVd7Dgfcn+TPwJ7r+/PXpvtKvQXffqE8Nu7GqOinJQ4GftGO1NwPPq6oLk/y4nYr7beDEe1j3a4Gjk7y+bev393B7fbJW664Z852qGvyVv82AzycZ2+k9sP27D/DJJG8F7kX3OyE/G3Wx08VbNkgrmSRr0/VVV5LnAM+tKn+sSCuMe/zSymd74OPtFNAbgBdNbzmaadzjl6Se8eCuJPWMwS9JPWPwS1LPGPzqtSSvTnJBkmMmud7cJP8wqrqkUTL41Xf7A3tU1T6TXG8uMOngT7L6ZNeRVjSDX72V5FN0N1A7Iclb2t06z2x379yzLTO33a3x7PZ4TFv9EGDndiOw1yV5YZKPD2z7P5Ps0oZvbnfZPB14dJLnJTmjrXuYHwaaaga/equqXk5398td6e6U+V/tjpi70l3xuw5wNfD4qtoO2Bv4aFv9AOCH7UZghy6jqXWA86rqkcC1bTs7tXvD3EF31ag0ZbyAS+o8AXh6kje08TWBOXQfDB9PMo8upP9qObZ9B3B8G96N7gKtM9ttH9ai+3CRpozBL3UC/H1V/fIuE5ODgauAbem+Id+6hPVv567foNccGL61qu4YaOfIqjoQaZrY1SN1vgu8auCXsh7Rpq8PXNHuq/98YKw/fvwdORcB85KslmRzuh9rmcgpwDPbXT1JsmGSLVboM5GWweCXOu+iuyvjOe0um+9q0z8B7JvkNLpunlva9HOA29vPJr4O+DFwMd2PuHyA7oda7qaqzgfeCpyU5BzgZGb4j35o5eO9eiSpZ9zjl6SeMfglqWcMfknqGYNfknrG4JeknjH4JalnDH5J6pn/A3Pi+Bz2EPlHAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_all_histogram_conditional_feature_distribution(y_predict= y_predicted, feature_column= artificial_feature_column, y_actual= y_test)"
   ]
  },
  {
   "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}