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{
 "cells": [
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  {
   "cell_type": "markdown",
   "id": "edd718da-1295-49c4-b556-3cc7b718f93c",
   "metadata": {},
   "source": [
    "# Data Preparation and Quality\n",
    "Lecture Data Engineering and Analytics<br>\n",
    "Eva Zangerle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 167,
   "id": "5b126eda-5b79-4531-b8ea-72898d09dc6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# import required packages\n",
    "from pprint import pprint\n",
    "from scipy.stats import gmean, hmean\n",
    "from sklearn.datasets import load_digits\n",
    "from matplotlib import cm\n",
    "from matplotlib.colors import ListedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5406f6f3-1c06-4f3b-aaaf-9ac6f2967729",
   "metadata": {},
   "outputs": [],
   "source": [
    "data_dir='../data'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bb42d44-a081-46e1-97e7-beb4dd674586",
   "metadata": {},
   "source": [
    "## Value Imputation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c497c77-a87a-44f8-89cf-46f326a35d52",
   "metadata": {},
   "source": [
    "Different imputation methods showcased, adapted from CleanData."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "8df460fc-829c-4592-ad72-80b5f43d4dbf",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1)\n",
    "\n",
    "# Histopathological Attributes: (values 0, 1, 2, 3)\n",
    "# Clinical Attributes: (values 0, 1, 2, 3, unless indicated)\n",
    "features = [\n",
    "    \"erythema\",\n",
    "    \"scaling\",\n",
    "    \"definite borders\",\n",
    "    \"itching\",\n",
    "    \"koebner phenomenon\",\n",
    "    \"polygonal papules\",\n",
    "    \"follicular papules\",\n",
    "    \"oral mucosal involvement\",\n",
    "    \"knee and elbow involvement\",\n",
    "    \"scalp involvement\",\n",
    "    \"family history\",  # 0 or 1\n",
    "    \"melanin incontinence\",\n",
    "    \"eosinophils in the infiltrate\",\n",
    "    \"PNL infiltrate\",\n",
    "    \"fibrosis of the papillary dermis\",\n",
    "    \"exocytosis\",\n",
    "    \"acanthosis\",\n",
    "    \"hyperkeratosis\",\n",
    "    \"parakeratosis\",\n",
    "    \"clubbing of the rete ridges\",\n",
    "    \"elongation of the rete ridges\",\n",
    "    \"thinning of the suprapapillary epidermis\",\n",
    "    \"spongiform pustule\",\n",
    "    \"munro microabcess\",\n",
    "    \"focal hypergranulosis\",\n",
    "    \"disappearance of the granular layer\",\n",
    "    \"vacuolisation and damage of basal layer\",\n",
    "    \"spongiosis\",\n",
    "    \"saw-tooth appearance of retes\",\n",
    "    \"follicular horn plug\",\n",
    "    \"perifollicular parakeratosis\",\n",
    "    \"inflammatory monoluclear inflitrate\",\n",
    "    \"band-like infiltrate\",\n",
    "    \"Age\",  # linear; missing marked '?'\n",
    "    \"TARGET\"  # See mapping\n",
    "]\n",
    "\n",
    "targets = {\n",
    "    1:\"psoriasis\",                 # 112 instances\n",
    "    2:\"seboreic dermatitis\",       # 61\n",
    "    3:\"lichen planus\",             # 72\n",
    "    4:\"pityriasis rosea\",          # 49\n",
    "    5:\"cronic dermatitis\",         # 52\n",
    "    6:\"pityriasis rubra pilaris\",  # 20\n",
    "}\n",
    "\n",
    "data = os.path.join(data_dir, 'dermatology.data')\n",
    "metadata = os.path.join(data_dir, 'dermatology.names')\n",
    "df = pd.read_csv(data, header=None, names=features, na_values=['?'])\n",
    "df['TARGET'] = df.TARGET.map(targets)\n",
    "\n",
    "derm = df.copy()\n",
    "derm.loc[derm.Age == '?', 'Age'] = None\n",
    "derm['Age'] = derm.Age.astype(float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "90fcb5e3-4e4c-466a-8f76-c9481ed04593",
   "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>erythema</th>\n",
       "      <th>scaling</th>\n",
       "      <th>definite borders</th>\n",
       "      <th>itching</th>\n",
       "      <th>Age</th>\n",
       "      <th>TARGET</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>psoriasis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>331</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>22</td>\n",
       "      <td>pityriasis rosea</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>psoriasis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>152</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>46</td>\n",
       "      <td>psoriasis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>296</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>19</td>\n",
       "      <td>cronic dermatitis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>283</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>22</td>\n",
       "      <td>psoriasis</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     erythema  scaling  definite borders  itching Age             TARGET\n",
       "39          3        3                 2        0  46          psoriasis\n",
       "331         1        1                 1        0  22   pityriasis rosea\n",
       "205         3        2                 2        0  55          psoriasis\n",
       "152         3        3                 2        2  46          psoriasis\n",
       "296         2        1                 1        3  19  cronic dermatitis\n",
       "283         2        3                 3        1  22          psoriasis"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# use iloc on both axes and sample\n",
    "df.iloc[:, [0, 1, 2, 3, -2, -1]].sample(6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "43734f3f-a997-436c-93c9-04785c6a5c47",
   "metadata": {},
   "outputs": [],
   "source": [
    "clean, suspicious = [], {}\n",
    "for col in df.columns:\n",
    "    values = df[col].unique()\n",
    "    if set(values) <= {0, 1, 2, 3}:\n",
    "        clean.append(col)\n",
    "    else:\n",
    "        suspicious[col] = values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "46b6f7d4-77a0-4e7d-b70e-039caa83568d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No problem detected:\n",
      "['erythema',\n",
      " 'scaling',\n",
      " 'definite borders',\n",
      " 'itching',\n",
      " 'koebner phenomenon',\n",
      " 'polygonal papules',\n",
      " 'follicular papules',\n",
      " 'oral mucosal involvement']\n",
      "... 25 other fields\n"
     ]
    }
   ],
   "source": [
    "print(\"No problem detected:\")\n",
    "pprint(clean[:8])\n",
    "print(f\"... {len(clean)-8} other fields\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "d1180b53-e9b0-407d-bd1a-22474288e195",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Suspicious:\n",
      "{'Age': array([55.,  8., 26., 40., 45., 41., 18., 57., 22., 30., 20., 21., 10.,\n",
      "       65., 38., 23., 17., 51., 42., 44., 33., 43., 50., 34., nan, 15.,\n",
      "       46., 62., 35., 48., 12., 52., 60., 32., 19., 29., 25., 36., 13.,\n",
      "       27., 31., 28., 64., 39., 47., 16.,  0.,  7., 70., 37., 61., 67.,\n",
      "       56., 53., 24., 58., 49., 63., 68.,  9., 75.]),\n",
      " 'TARGET': array(['seboreic dermatitis', 'psoriasis', 'lichen planus',\n",
      "       'cronic dermatitis', 'pityriasis rosea',\n",
      "       'pityriasis rubra pilaris'], dtype=object)}\n"
     ]
    }
   ],
   "source": [
    "# Notice age has some expected ages and also a '?'\n",
    "print(\"Suspicious:\")\n",
    "pprint(suspicious)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "afb090dc-1a70-4aa3-945f-ac8331cc84db",
   "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>inflammatory monoluclear inflitrate</th>\n",
       "      <th>band-like infiltrate</th>\n",
       "      <th>Age</th>\n",
       "      <th>TARGET</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>psoriasis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>pityriasis rosea</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>seboreic dermatitis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>NaN</td>\n",
       "      <td>lichen planus</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>262</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>cronic dermatitis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>263</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>cronic dermatitis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>264</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>cronic dermatitis</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>265</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>cronic dermatitis</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     inflammatory monoluclear inflitrate  band-like infiltrate  Age  \\\n",
       "33                                     0                     0  NaN   \n",
       "34                                     0                     0  NaN   \n",
       "35                                     0                     0  NaN   \n",
       "36                                     0                     3  NaN   \n",
       "262                                    3                     0  NaN   \n",
       "263                                    2                     0  NaN   \n",
       "264                                    3                     0  NaN   \n",
       "265                                    3                     0  NaN   \n",
       "\n",
       "                  TARGET  \n",
       "33             psoriasis  \n",
       "34      pityriasis rosea  \n",
       "35   seboreic dermatitis  \n",
       "36         lichen planus  \n",
       "262    cronic dermatitis  \n",
       "263    cronic dermatitis  \n",
       "264    cronic dermatitis  \n",
       "265    cronic dermatitis  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# dataset encodes missing values as ?\n",
    "# --> added ? to na_values list to be recognized when reading file in panda's read_csv\n",
    "df.loc[df.Age.isnull()].iloc[:, -4:]\n",
    "# alternatively: \n",
    "# Assign missing ages marked with '?' as None\n",
    "# df.loc[df.Age == '?', 'Age'] = None  # or NaN\n",
    "# Convert string/None ages to floating-point\n",
    "# df['Age'] = df.Age.astype(float)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58f8b344-39d7-4593-be81-ad90ad57830f",
   "metadata": {},
   "source": [
    "### Typical-Value Imputation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "aae335f1-0472-48e9-bd30-4939bb3c3196",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'Age distribution of patients (0 to 75)'}>"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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np3d3E4IKodtOVVVV2rRpk8rLyzVs2DCtWLFCs2bN6u5mAehhuL0AABbxQRoAWNTq7YWGhgbV1zMQBoCOCA9veaGpVkO3vt7o4sXmZ9MAAJo3YkTLs++4vQAAFhG6AGARoQsAFhG6AGARoQsAFhG6AGARoQsAFhG6AGARoQsAFrHKGHqNQUMiFNH/yiVf47usyks1bezRs4T68YUKQhe9RkT/fhqTeeWvE5/alqbKNrbvaUL9+EIFtxcAwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsYhpwCAnMve/p8+5ZQwChjJFuCAnMvQ8EVk8VOI5QOBagKUIXACwidAHAIkIXACwidAHAIkIXACwidAHAIkIXACwidAHAIkIXACwidAHAIuZYdiHWEADQFKHbhQJrCEjSqW1pquzm9gDoftxeAACLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIhpwEEs1NduCPXjCxWcp85F6AaxUF+7IdSPL1RwnjoXtxcAwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsYhowHMyxB7oeoQsHc+yBrsftBQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIsIXQCwiLUX0KlYNAdoHaGLTsWiOUDruL0AABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgEdOAgV4oWNbICLSjN63TwUgX6IUCa2SMydznhG93tqM722AboQsAFhG6AGARoQsAFhG6AGARoQsAFhG6AGARoQsAFhG6AGARoQsAFhG6AGBR75l7B3RAsKxNgNBD6ALNCKwJIEmntqWpspvbg9DB7QUAsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLev00YObYA7Cp14cuc+wB2MTtBQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIsIXQCwiNAFAIt6/TTgjgqs1cA6DR1DvwFXMNLtoMBaDYFFctA+9BtwBaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABZ1+kT4wMImktpc3KQj2wI9TbBc36Gy2FCw9OeN6vSRbmBhk/YsbtKRbYGeJliu71BZbChY+vNGcXsBACwidAHAIkIXACwidAHAIkIXACwidAHAIkIXACwidAHAIkIXACwidAHAop47l66Lhco8764UKnP6bWuu37jeeg9Gui0IlXneXSlU5vTb1ly/cb31HoQuAFhE6AKARYQuAFhE6AKARYQuAFhE6AKARYQuAFhE6AKARYQuAFhE6AKARSE537Cleey9cX57bzxm27qyj4P5/AVz24JZSIZuYB67JJ3alqbKNp4PZb3xmG3ryj4O5vMXzG0LZtxeAACLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsOi6pwEz7xqhoiPXMtd979YZ5/+6Q5d51wgVHbmWue57t844/9xeAACLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsIjQBQCLCF0AsCjo/gR7T5zbbnvufrCUEQxC5TjQewRd6PbEue225+4HSxnBIFSOA70HtxcAwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAsInQBwCJCFwAssjINuCvXCgg839Pn3QfzGgLB0LaOtiFUrgvbbrTfgnldkGC4jiVLI93A/Pgxmfucg+6sMgLPX2+5waIz+qirBEPbOtqGULkubLvRfuvK/+s3KhiuY4nbCwBgFaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgEaELABYRugBgUbsmILN4CBA8gmXhlo6wvYhNR+rrjMW0mpbRmnaNdFk8BAgewbJwS0fYXsSmI/V1xmJaHamP2wsAYBGhCwAWEboAYBGhCwAWEboAYBGhCwAWEboAYBGhCwAWEboAYBGhCwAW9THGmO5uBAD0Fox0AcAiQhcALCJ0AcAiQhcALCJ0AcAiQhcALPo/HzGNB/XDDRAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# example plot taken from CleanData\n",
    "# compare to df.Age.mode() with xticks activated\n",
    "# problem?\n",
    "(df.Age\n",
    "   .value_counts()\n",
    "   .sort_index()\n",
    "   .plot(kind=\"bar\", \n",
    "         xticks= [],\n",
    "         #xticks = np.arange(df['Age'].min(), df['Age'].max(), 10),\n",
    "         yticks=[], \n",
    "         title=\"Age distribution of patients \"\n",
    "               f\"({df.Age.min():.0f} to {df.Age.max():.0f})\",\n",
    "         )\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "2e990956-1d39-4894-ab5e-a3ac8712cfea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='Age', ylabel='Count'>"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# improved distribution setup\n",
    "distribution = pd.DataFrame([df[df.Age == x]['Age'].count() for x in np.arange(df['Age'].min(), df['Age'].max())])\n",
    "distribution.plot(kind=\"bar\",\n",
    "                  xlabel='Age',\n",
    "                  ylabel='Count',\n",
    "                  xticks = np.arange(df['Age'].min(), df['Age'].max(), 10),\n",
    "                  legend=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "86677c98-7415-4126-840c-a5bc5fffec5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(36.29608938547486, 35.0)"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# seem like best solution\n",
    "df.Age.mean(), df.Age.median()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "f153af7d-d05e-4902-82be-45be358be237",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    40.0\n",
       "1    50.0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.Age.mode()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9888b03-63b3-466e-b8ac-8e862a8c5bb6",
   "metadata": {},
   "source": [
    "Alternatively, this dataset was created in Turkey - we might also want to use domain knowledge and use the mean/median age in Turkey at the time of dataset creation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "id": "91dcff8e-7f3a-4293-8e4c-c26429f7ac39",
   "metadata": {},
   "outputs": [],
   "source": [
    "#hmean((df.loc[df['Age'].notna()]['Age']).values)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5be55127-f078-4a6f-a4d8-80e7c9c9d4ee",
   "metadata": {},
   "source": [
    "### Locality Imputation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 173,
   "id": "c289112b-0a6b-438a-98f2-9c911f1dc9ea",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Array shape: (50, 8, 8)\n"
     ]
    }
   ],
   "source": [
    "# load digits dataset (adopted, now missing a few pixels)\n",
    "digits = np.load( os.path.join(data_dir, 'digits.npy'))\n",
    "print(\"Array shape:\", digits.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 174,
   "id": "e1526d7e-8c7b-48dd-953a-1db09d8d050d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# display digits\n",
    "def show_digits(digits=digits, x=3, y=3, title=\"Digits\"):\n",
    "    \"Display of 'corrupted numerals'\"\n",
    "    if digits.min() >= 0:\n",
    "        newcm = cm.get_cmap('Greys', 17)\n",
    "    else:\n",
    "        gray = cm.get_cmap('Greys', 18)\n",
    "        newcolors = gray(np.linspace(0, 1, 18))\n",
    "        newcolors[:1, :] = np.array([1.0, 0.9, 0.9, 1])\n",
    "        newcm = ListedColormap(newcolors)\n",
    "\n",
    "    fig, axes = plt.subplots(x, y, figsize=(x*2.5, y*2.5),\n",
    "                      subplot_kw={'xticks':(), 'yticks': ()})\n",
    "    \n",
    "    for ax, img in zip(axes.ravel(), digits):\n",
    "        ax.imshow(img, cmap=newcm)\n",
    "        for i in range(8):\n",
    "            for j in range(8):\n",
    "                if img[i, j] == -1:\n",
    "                    s = \"╳\"\n",
    "                    c = \"k\"\n",
    "                else:\n",
    "                    s = str(img[i, j])\n",
    "                    c = \"k\" if img[i, j] < 8 else \"w\"\n",
    "                text = ax.text(j, i, s, color=c,\n",
    "                               ha=\"center\", va=\"center\")\n",
    "    fig.suptitle(title, y=0)\n",
    "    fig.tight_layout()    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 171,
   "id": "6b4cf573-8f4d-4f8e-9c38-1528a875dce2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x540 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_digits(digits, title=\"Digits with missing pixels\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 176,
   "id": "b81a57ad-a81f-445b-83b2-d2352e614167",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Coded for clarity, not for best vectorized speed\n",
    "# Function definition only; used in later cell\n",
    "def fill_missing(digit):\n",
    "    digit = digit.copy()\n",
    "    missing = np.where(digit == -1)\n",
    "    for y, x in zip(*missing):  # Pull off x/y position of pixel\n",
    "        # Do not want negative indices in slice\n",
    "        x_start = max(0, x-1)\n",
    "        y_start = max(0, y-1)\n",
    "        # No harm in index larger than size\n",
    "        x_end = x+2\n",
    "        y_end = y+2\n",
    "        # What if another -1 is in region? Remove all the -1s\n",
    "        region = digit[y_start:y_end, x_start:x_end].flatten()\n",
    "        region = region[region >=0]\n",
    "        total = np.sum(region) \n",
    "        avg = total // region.size\n",
    "        digit[y, x] = avg\n",
    "    return digit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "id": "a92431e8-ede0-4e84-ab13-3669b2f91d73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(None, None)"
      ]
     },
     "execution_count": 178,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x540 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 540x540 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new = np.empty_like(digits)\n",
    "for n in range(new.shape[0]):\n",
    "    new[n] = fill_missing(digits[n])\n",
    "\n",
    "show_digits(digits, title=\"Digits with missing pixels\"),show_digits(new, title=\"Digits with imputed pixels\")"
   ]
  },
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  {
   "cell_type": "code",
   "execution_count": null,
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   "id": "7008e16d-e5d8-45d2-aeef-4ab74f35c5eb",
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   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
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   "display_name": "Python 3 (ipykernel)",
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   "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",
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   "version": "3.9.7"
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  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}