pyMixtComp/python/notebooks/prostate-example.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# pyMixtComp: prostate example\n",
    "\n",
    "Unsupervised clustering and prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "\n",
    "from pyMixtComp import MixtComp\n",
    "from pyMixtComp.data import load_prostate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (10, 6)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data preparation\n",
    "\n",
    "Import the prostate dataset included in the package"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Wt</th>\n",
       "      <th>PF</th>\n",
       "      <th>HX</th>\n",
       "      <th>SBP</th>\n",
       "      <th>DBP</th>\n",
       "      <th>EKG</th>\n",
       "      <th>HG</th>\n",
       "      <th>SZ</th>\n",
       "      <th>SG</th>\n",
       "      <th>AP</th>\n",
       "      <th>BM</th>\n",
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       "      <td>1.4142</td>\n",
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       "      <td>1.0986</td>\n",
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       "      <td>76</td>\n",
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       "      <td>?</td>\n",
       "      <td>?</td>\n",
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       "      <td>?</td>\n",
       "      <td>5.3852</td>\n",
       "      <td>9</td>\n",
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       "      <td>?</td>\n",
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       "      <td>54</td>\n",
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       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>134</td>\n",
       "      <td>1.7321</td>\n",
       "      <td>9</td>\n",
       "      <td>1.0986</td>\n",
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       "      <td>?</td>\n",
       "      <td>?</td>\n",
       "      <td>?</td>\n",
       "      <td>?</td>\n",
       "      <td>?</td>\n",
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       "      <td>9</td>\n",
       "      <td>2.3979</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>501</th>\n",
       "      <td>78</td>\n",
       "      <td>108</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>11</td>\n",
       "      <td>6</td>\n",
       "      <td>1</td>\n",
       "      <td>158</td>\n",
       "      <td>3</td>\n",
       "      <td>13</td>\n",
       "      <td>1.7918</td>\n",
       "      <td>1</td>\n",
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       "    <tr>\n",
       "      <th>502</th>\n",
       "      <td>78</td>\n",
       "      <td>127</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>16</td>\n",
       "      <td>10</td>\n",
       "      <td>5</td>\n",
       "      <td>158</td>\n",
       "      <td>2.2361</td>\n",
       "      <td>9</td>\n",
       "      <td>1.6094</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>503</th>\n",
       "      <td>77</td>\n",
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       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>17</td>\n",
       "      <td>10</td>\n",
       "      <td>4</td>\n",
       "      <td>160</td>\n",
       "      <td>3.3166</td>\n",
       "      <td>9</td>\n",
       "      <td>2.0794</td>\n",
       "      <td>1</td>\n",
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       "      <th>504</th>\n",
       "      <td>82</td>\n",
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       "      <td>12</td>\n",
       "      <td>6</td>\n",
       "      <td>5</td>\n",
       "      <td>124</td>\n",
       "      <td>5.6569</td>\n",
       "      <td>13</td>\n",
       "      <td>4.4308</td>\n",
       "      <td>1</td>\n",
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       "      <td>5.7446</td>\n",
       "      <td>?</td>\n",
       "      <td>5.4027</td>\n",
       "      <td>2</td>\n",
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       "<p>506 rows × 12 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    Age   Wt PF HX SBP DBP EKG   HG      SZ  SG      AP BM\n",
       "0    75   76  1  1  15   9   5  138  1.4142   8  1.0986  1\n",
       "1    76    ?  ?  ?   ?   ?   ?    ?  5.3852   9  2.4849  ?\n",
       "2    54  116  1  1  13   7   4  146  6.4807   ?  1.9459  1\n",
       "3    69  102  1  2  14   8   5  134  1.7321   9  1.0986  1\n",
       "4    66    ?  ?  ?   ?   ?   ?    ?       1   9  2.3979  ?\n",
       "..   ..  ... .. ..  ..  ..  ..  ...     ...  ..     ... ..\n",
       "501  78  108  1  1  11   6   1  158       3  13  1.7918  1\n",
       "502  78  127  1  2  16  10   5  158  2.2361   9  1.6094  1\n",
       "503  77   93  1  1  17  10   4  160  3.3166   9  2.0794  1\n",
       "504  82   96  1  2  12   6   5  124  5.6569  13  4.4308  1\n",
       "505  74   97  2  1  15   6   1  212  5.7446   ?  5.4027  2\n",
       "\n",
       "[506 rows x 12 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prostate, model = load_prostate()\n",
    "prostate"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dataset is already in the right format with column types as object and missing values as ?."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Age    object\n",
       "Wt     object\n",
       "PF     object\n",
       "HX     object\n",
       "SBP    object\n",
       "DBP    object\n",
       "EKG    object\n",
       "HG     object\n",
       "SZ     object\n",
       "SG     object\n",
       "AP     object\n",
       "BM     object\n",
       "dtype: object"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prostate.dtypes"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Learning"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "mod = {}\n",
    "bic = {}\n",
    "icl = {}\n",
    "for k in range(1, 9):\n",
    "    mod[k] = MixtComp(n_components=k, n_init=5, n_init_per_class=50)\n",
    "    try:\n",
    "        mod[k].fit(prostate, model)\n",
    "        bic[k] = mod[k].bic()\n",
    "        icl[k] = mod[k].icl()\n",
    "    except RuntimeError:\n",
    "        bic[k] = np.nan\n",
    "        icl[k] = np.nan"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All MixtComp results are saved in the res_ attribute (`mod[k].res_`)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Criterion\n",
    "\n",
    "Draw the criterion value (BIC and ICL) for each model that was built. The higher the value (close to 0) the better the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x=bic.keys(), y=bic.values(), label=\"BIC\")\n",
    "sns.lineplot(x=icl.keys(), y=icl.values(), label=\"ICL\")\n",
    "plt.xlabel(\"Number of clusters\")\n",
    "plt.ylabel(\"Criterion\")\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Choose the number of classes to study in the following."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "k = 3"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Variables\n",
    "\n",
    "Draw the discriminating level of each variable. A high value (close to one) means that the variable is highly discriminating. A low value (close to zero) means that the variable is poorly discriminating."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod[k].plot_discriminative_power_variable()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Draw the similarity between every pair of variable. A high value (close to one) means that the two variables provide the same information for the clustering task (i.e. similar partitions). A low value (close to zero) means that the two variables provide some different information for the clustering task (i.e. different partitions)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod[k].plot_variable_similarity()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select a variable to draw its distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variable = \"AP\"\n",
    "mod[k].plot_data(variable)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Classes\n",
    "\n",
    "Draw the proportion of individuals in each class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod[k].plot_proportion()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Draw the similarity level between each pair of classes. A high value (close to one) means that the 2 classes are strongly different (i.e. low overlapping). A low value (close to zero) means that the 2 classes are similar for the clustering task (i.e. high overlapping)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod[k].plot_class_similarity()\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Draw the discriminating level of each variable for the selected class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mod[k].plot_discriminative_power_variable(class_id=1)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Select a variable to draw its distribution for the selected class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "variable = \"SG\"\n",
    "mod[k].plot_data(variable, class_ids=1)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prediction"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create a new patient by adding missing values to the first one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_patient = prostate.iloc[0:1].copy()\n",
    "new_patient.loc[0, \"Age\"] = \"?\"\n",
    "new_patient.loc[0, \"Wt\"] = \"[70:80]\"\n",
    "new_patient.loc[0, \"EKG\"] = \"{4,5}\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Age</th>\n",
       "      <th>Wt</th>\n",
       "      <th>PF</th>\n",
       "      <th>HX</th>\n",
       "      <th>SBP</th>\n",
       "      <th>DBP</th>\n",
       "      <th>EKG</th>\n",
       "      <th>HG</th>\n",
       "      <th>SZ</th>\n",
       "      <th>SG</th>\n",
       "      <th>AP</th>\n",
       "      <th>BM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>?</td>\n",
       "      <td>[70:80]</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>15</td>\n",
       "      <td>9</td>\n",
       "      <td>{4,5}</td>\n",
       "      <td>138</td>\n",
       "      <td>1.4142</td>\n",
       "      <td>8</td>\n",
       "      <td>1.0986</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Age       Wt PF HX SBP DBP    EKG   HG      SZ SG      AP BM\n",
       "0   ?  [70:80]  1  1  15   9  {4,5}  138  1.4142  8  1.0986  1"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_patient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2], dtype=uint64)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predicted_class = mod[k].predict(new_patient)\n",
    "predicted_class"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can access the imputed values for missing data and their statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'completed': array([2], dtype=uint64),\n",
       " 'stat':    k: 0  k: 1  k: 2\n",
       " 0   0.4   0.0   0.6}"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod[k].res_predict_[\"variable\"][\"data\"][\"z_class\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'stat':   index     median  q 2.500000%  q 97.500000%\n",
       "     0.0  72.673043    61.646535     82.520748,\n",
       " 'completed': array([72.67304349])}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod[k].res_predict_[\"variable\"][\"data\"][\"Age\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'stat':   index     median  q 2.500000%  q 97.500000%\n",
       "     0.0  76.242178    71.285729     79.840864,\n",
       " 'completed': array([76.242178])}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod[k].res_predict_[\"variable\"][\"data\"][\"Wt\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'stat': {'0':   modality  probability\n",
       "         5.0         0.76\n",
       "         4.0         0.24},\n",
       " 'completed': array([5], dtype=int32)}"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mod[k].res_predict_[\"variable\"][\"data\"][\"EKG\"]"
   ]
  }
 ],
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