overviews/_baseline/main.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3W Dataset's General Presentation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is a general presentation of the 3W Dataset, to the best of its authors' knowledge, the first realistic and public dataset with rare undesirable real events in oil wells that can be readily used as a benchmark dataset for development of machine learning techniques related to inherent difficulties of actual data.\n",
    "\n",
    "For more information about the theory behind this dataset, refer to the paper **A Realistic and Public Dataset with Rare Undesirable Real Events in Oil Wells** published in the **Journal of Petroleum Science and Engineering** (link [here](https://doi.org/10.1016/j.petrol.2019.106223))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This Jupyter Notebook presents the 3W Dataset 2.0.0 in a general way. For this, some tables, graphs, and statistics are presented."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2. Imports and Configurations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import os\n",
    "\n",
    "sys.path.append(os.path.join('..','..'))\n",
    "import toolkit as tk\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Instances' Structure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Below, all 3W dataset's instances are loaded and the first one of each knowledge source (real, simulated and hand-drawn) is partially displayed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>label</th>\n",
       "      <th>well</th>\n",
       "      <th>id</th>\n",
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       "      <th>T-MON-CKP</th>\n",
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       "      <th>class</th>\n",
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       "    <tr>\n",
       "      <th>timestamp</th>\n",
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       "      <td>&lt;NA&gt;</td>\n",
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       "      <td>&lt;NA&gt;</td>\n",
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       "      <th>2017-02-01 01:02:09</th>\n",
       "      <td>0</td>\n",
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       "      <th>2017-02-01 01:02:10</th>\n",
       "      <td>0</td>\n",
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      ],
      "text/plain": [
       "                     label        well              id  ABER-CKGL  ABER-CKP  \\\n",
       "timestamp                                                                     \n",
       "2017-02-01 01:02:07      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 01:02:08      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 01:02:09      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 01:02:10      0  WELL-00001  20170201010207        NaN       NaN   \n",
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       "...                    ...         ...             ...        ...       ...   \n",
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       "2017-02-01 06:59:57      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 06:59:58      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 06:59:59      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "2017-02-01 07:00:00      0  WELL-00001  20170201010207        NaN       NaN   \n",
       "\n",
       "                     ESTADO-DHSV  ESTADO-M1  ESTADO-M2  ESTADO-PXO  \\\n",
       "timestamp                                                            \n",
       "2017-02-01 01:02:07          1.0        1.0        0.0         0.0   \n",
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       "2017-02-01 01:02:11          1.0        1.0        0.0         0.0   \n",
       "...                          ...        ...        ...         ...   \n",
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       "\n",
       "                     ESTADO-SDV-GL  ...  PT-P       P-TPT  QBS  QGL  \\\n",
       "timestamp                           ...                               \n",
       "2017-02-01 01:02:07            0.0  ...   NaN  10074540.0  NaN  0.0   \n",
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       "2017-02-01 01:02:11            0.0  ...   NaN  10074540.0  NaN  0.0   \n",
       "...                            ...  ...   ...         ...  ...  ...   \n",
       "2017-02-01 06:59:56            0.0  ...   NaN  10014690.0  NaN  0.0   \n",
       "2017-02-01 06:59:57            0.0  ...   NaN  10014690.0  NaN  0.0   \n",
       "2017-02-01 06:59:58            0.0  ...   NaN  10014690.0  NaN  0.0   \n",
       "2017-02-01 06:59:59            0.0  ...   NaN  10014690.0  NaN  0.0   \n",
       "2017-02-01 07:00:00            0.0  ...   NaN  10014690.0  NaN  0.0   \n",
       "\n",
       "                     T-JUS-CKP  T-MON-CKP  T-PDG     T-TPT  class  state  \n",
       "timestamp                                                                 \n",
       "2017-02-01 01:02:07   84.64463        NaN    0.0  119.0781   <NA>   <NA>  \n",
       "2017-02-01 01:02:08   84.63828        NaN    0.0  119.0781   <NA>   <NA>  \n",
       "2017-02-01 01:02:09   84.63194        NaN    0.0  119.0781   <NA>   <NA>  \n",
       "2017-02-01 01:02:10   84.62558        NaN    0.0  119.0781   <NA>   <NA>  \n",
       "2017-02-01 01:02:11   84.61923        NaN    0.0  119.0781   <NA>   <NA>  \n",
       "...                        ...        ...    ...       ...    ...    ...  \n",
       "2017-02-01 06:59:56   83.44021        NaN    0.0  119.0453      0      0  \n",
       "2017-02-01 06:59:57   83.45413        NaN    0.0  119.0452      0      0  \n",
       "2017-02-01 06:59:58   83.46806        NaN    0.0  119.0451      0      0  \n",
       "2017-02-01 06:59:59   83.48199        NaN    0.0  119.0450      0      0  \n",
       "2017-02-01 07:00:00   83.49591        NaN    0.0  119.0449      0      0  \n",
       "\n",
       "[21474 rows x 32 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "real_instances, simulated_instances, drawn_instances = tk.get_all_labels_and_files()\n",
    "tk.load_instance(real_instances[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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       "      <th>T-PDG</th>\n",
       "      <th>T-TPT</th>\n",
       "      <th>class</th>\n",
       "      <th>state</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>timestamp</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2018-10-06 03:57:02</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.306863e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>70.334018</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>96.932750</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 03:57:03</th>\n",
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       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.306865e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>70.334248</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>96.932790</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 03:57:04</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1.306864e+07</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>70.334488</td>\n",
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       "      <th>2018-10-06 03:57:05</th>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
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       "      <td>70.334728</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 03:57:06</th>\n",
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       "      <td>00001</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
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       "      <td>NaN</td>\n",
       "      <td>1.306856e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>70.334958</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>96.932900</td>\n",
       "      <td>0</td>\n",
       "      <td>0</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",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 16:36:56</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.605884e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39.772071</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>83.103355</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 16:36:57</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.606439e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39.866035</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>83.103220</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>2018-10-06 16:36:58</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.606811e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>39.970728</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>83.102733</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-06 16:36:59</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.607405e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>40.076864</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>83.102536</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-10-06 16:37:00</th>\n",
       "      <td>1</td>\n",
       "      <td>SIMULATED</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.607853e+07</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>40.174778</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>83.101983</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>45599 rows × 32 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                     label       well     id  ABER-CKGL  ABER-CKP  \\\n",
       "timestamp                                                           \n",
       "2018-10-06 03:57:02      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 03:57:03      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 03:57:04      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 03:57:05      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 03:57:06      1  SIMULATED  00001        NaN       NaN   \n",
       "...                    ...        ...    ...        ...       ...   \n",
       "2018-10-06 16:36:56      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 16:36:57      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 16:36:58      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 16:36:59      1  SIMULATED  00001        NaN       NaN   \n",
       "2018-10-06 16:37:00      1  SIMULATED  00001        NaN       NaN   \n",
       "\n",
       "                     ESTADO-DHSV  ESTADO-M1  ESTADO-M2  ESTADO-PXO  \\\n",
       "timestamp                                                            \n",
       "2018-10-06 03:57:02          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 03:57:03          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 03:57:04          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 03:57:05          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 03:57:06          NaN        NaN        NaN         NaN   \n",
       "...                          ...        ...        ...         ...   \n",
       "2018-10-06 16:36:56          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 16:36:57          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 16:36:58          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 16:36:59          NaN        NaN        NaN         NaN   \n",
       "2018-10-06 16:37:00          NaN        NaN        NaN         NaN   \n",
       "\n",
       "                     ESTADO-SDV-GL  ...  PT-P         P-TPT  QBS  QGL  \\\n",
       "timestamp                           ...                                 \n",
       "2018-10-06 03:57:02            NaN  ...   NaN  1.306863e+07  NaN  NaN   \n",
       "2018-10-06 03:57:03            NaN  ...   NaN  1.306865e+07  NaN  NaN   \n",
       "2018-10-06 03:57:04            NaN  ...   NaN  1.306864e+07  NaN  NaN   \n",
       "2018-10-06 03:57:05            NaN  ...   NaN  1.306860e+07  NaN  NaN   \n",
       "2018-10-06 03:57:06            NaN  ...   NaN  1.306856e+07  NaN  NaN   \n",
       "...                            ...  ...   ...           ...  ...  ...   \n",
       "2018-10-06 16:36:56            NaN  ...   NaN  1.605884e+07  NaN  NaN   \n",
       "2018-10-06 16:36:57            NaN  ...   NaN  1.606439e+07  NaN  NaN   \n",
       "2018-10-06 16:36:58            NaN  ...   NaN  1.606811e+07  NaN  NaN   \n",
       "2018-10-06 16:36:59            NaN  ...   NaN  1.607405e+07  NaN  NaN   \n",
       "2018-10-06 16:37:00            NaN  ...   NaN  1.607853e+07  NaN  NaN   \n",
       "\n",
       "                     T-JUS-CKP  T-MON-CKP  T-PDG      T-TPT  class  state  \n",
       "timestamp                                                                  \n",
       "2018-10-06 03:57:02  70.334018        NaN    NaN  96.932750      0      0  \n",
       "2018-10-06 03:57:03  70.334248        NaN    NaN  96.932790      0      0  \n",
       "2018-10-06 03:57:04  70.334488        NaN    NaN  96.932830      0      0  \n",
       "2018-10-06 03:57:05  70.334728        NaN    NaN  96.932870      0      0  \n",
       "2018-10-06 03:57:06  70.334958        NaN    NaN  96.932900      0      0  \n",
       "...                        ...        ...    ...        ...    ...    ...  \n",
       "2018-10-06 16:36:56  39.772071        NaN    NaN  83.103355      1      0  \n",
       "2018-10-06 16:36:57  39.866035        NaN    NaN  83.103220      1      0  \n",
       "2018-10-06 16:36:58  39.970728        NaN    NaN  83.102733      1      0  \n",
       "2018-10-06 16:36:59  40.076864        NaN    NaN  83.102536      1      0  \n",
       "2018-10-06 16:37:00  40.174778        NaN    NaN  83.101983      1      0  \n",
       "\n",
       "[45599 rows x 32 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tk.load_instance(simulated_instances[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>175.340600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>66.75450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>114.890700</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-05 20:44:40</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>175.340600</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>66.75450</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>114.890700</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <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>2018-09-07 20:44:31</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.136751</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31.27121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354756</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-07 20:44:32</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.137893</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31.27121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354756</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-07 20:44:33</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.139036</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31.27121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354756</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-07 20:44:34</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.140179</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31.27121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354756</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2018-09-07 20:44:35</th>\n",
       "      <td>1</td>\n",
       "      <td>DRAWN</td>\n",
       "      <td>00001</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>60.141321</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>31.27121</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>8.354756</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>172800 rows × 32 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                     label   well     id  ABER-CKGL  ABER-CKP  ESTADO-DHSV  \\\n",
       "timestamp                                                                    \n",
       "2018-09-05 20:44:36      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-05 20:44:37      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-05 20:44:38      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-05 20:44:39      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-05 20:44:40      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "...                    ...    ...    ...        ...       ...          ...   \n",
       "2018-09-07 20:44:31      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-07 20:44:32      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-07 20:44:33      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-07 20:44:34      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "2018-09-07 20:44:35      1  DRAWN  00001        NaN       NaN          NaN   \n",
       "\n",
       "                     ESTADO-M1  ESTADO-M2  ESTADO-PXO  ESTADO-SDV-GL  ...  \\\n",
       "timestamp                                                             ...   \n",
       "2018-09-05 20:44:36        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-05 20:44:37        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-05 20:44:38        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-05 20:44:39        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-05 20:44:40        NaN        NaN         NaN            NaN  ...   \n",
       "...                        ...        ...         ...            ...  ...   \n",
       "2018-09-07 20:44:31        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-07 20:44:32        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-07 20:44:33        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-07 20:44:34        NaN        NaN         NaN            NaN  ...   \n",
       "2018-09-07 20:44:35        NaN        NaN         NaN            NaN  ...   \n",
       "\n",
       "                     PT-P       P-TPT  QBS  QGL  T-JUS-CKP  T-MON-CKP  T-PDG  \\\n",
       "timestamp                                                                      \n",
       "2018-09-05 20:44:36   NaN  175.340600  NaN  NaN   66.75450        NaN    NaN   \n",
       "2018-09-05 20:44:37   NaN  175.340600  NaN  NaN   66.75450        NaN    NaN   \n",
       "2018-09-05 20:44:38   NaN  175.340600  NaN  NaN   66.75450        NaN    NaN   \n",
       "2018-09-05 20:44:39   NaN  175.340600  NaN  NaN   66.75450        NaN    NaN   \n",
       "2018-09-05 20:44:40   NaN  175.340600  NaN  NaN   66.75450        NaN    NaN   \n",
       "...                   ...         ...  ...  ...        ...        ...    ...   \n",
       "2018-09-07 20:44:31   NaN   60.136751  NaN  NaN   31.27121        NaN    NaN   \n",
       "2018-09-07 20:44:32   NaN   60.137893  NaN  NaN   31.27121        NaN    NaN   \n",
       "2018-09-07 20:44:33   NaN   60.139036  NaN  NaN   31.27121        NaN    NaN   \n",
       "2018-09-07 20:44:34   NaN   60.140179  NaN  NaN   31.27121        NaN    NaN   \n",
       "2018-09-07 20:44:35   NaN   60.141321  NaN  NaN   31.27121        NaN    NaN   \n",
       "\n",
       "                          T-TPT  class  state  \n",
       "timestamp                                      \n",
       "2018-09-05 20:44:36  114.890700      0      0  \n",
       "2018-09-05 20:44:37  114.890700      0      0  \n",
       "2018-09-05 20:44:38  114.890700      0      0  \n",
       "2018-09-05 20:44:39  114.890700      0      0  \n",
       "2018-09-05 20:44:40  114.890700      0      0  \n",
       "...                         ...    ...    ...  \n",
       "2018-09-07 20:44:31    8.354756      1      0  \n",
       "2018-09-07 20:44:32    8.354756      1      0  \n",
       "2018-09-07 20:44:33    8.354756      1      0  \n",
       "2018-09-07 20:44:34    8.354756      1      0  \n",
       "2018-09-07 20:44:35    8.354756      1      0  \n",
       "\n",
       "[172800 rows x 32 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "tk.load_instance(drawn_instances[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each instance is stored in a [Parquet file](https://parquet.apache.org/docs/) and loaded into a pandas DataFrame as follows:\n",
    "\n",
    "* All Parquet files are created and read with pandas functions, `pyarrow` engine and `brotli` compression;\n",
    "* For each instance, timestamps corresponding to observations are stored in Parquet file as its index and loaded into pandas DataFrame as its index;\n",
    "* Each observation is stored in a line of a Parquet file and loaded as a line of a pandas DataFrame; \n",
    "* All variables are stored as float in columns of Parquet files and loaded as float in columns of pandas DataFrame;\n",
    "* All labels are stored as `Int64` (not `int64`) in columns of Parquet files and loaded as `Int64` (not `int64`) in columns of pandas DataFrame.\n",
    "\n",
    "The variables and labels are as follows:\n",
    "\n",
    "* **ABER-CKGL**: Opening of the GLCK (gas lift choke) [%];\n",
    "* **ABER-CKP**: Opening of the PCK (production choke) [%];\n",
    "* **ESTADO-DHSV**: State of the DHSV (downhole safety valve) [0, 0.5, or 1];\n",
    "* **ESTADO-M1**: State of the PMV (production master valve) [0, 0.5, or 1];\n",
    "* **ESTADO-M2**: State of the AMV (annulus master valve) [0, 0.5, or 1];\n",
    "* **ESTADO-PXO**: State of the PXO (pig-crossover) valve [0, 0.5, or 1];\n",
    "* **ESTADO-SDV-GL**: State of the gas lift SDV (shutdown valve) [0, 0.5, or 1];\n",
    "* **ESTADO-SDV-P**: State of the production SDV (shutdown valve) [0, 0.5, or 1];\n",
    "* **ESTADO-W1**: State of the PWV (production wing valve) [0, 0.5, or 1];\n",
    "* **ESTADO-W2**: State of the AWV (annulus wing valve) [0, 0.5, or 1];\n",
    "* **ESTADO-XO**: State of the XO (crossover) valve [0, 0.5, or 1];\n",
    "* **P-ANULAR**: Pressure in the well annulus [Pa];\n",
    "* **P-JUS-BS**: Downstream pressure of the SP (service pump) [Pa];\n",
    "* **P-JUS-CKGL**: Downstream pressure of the GLCK (gas lift choke) [Pa];\n",
    "* **P-JUS-CKP**: Downstream pressure of the PCK (production choke) [Pa];\n",
    "* **P-MON-CKGL**: Upstream pressure of the GLCK (gas lift choke) [Pa];\n",
    "* **P-MON-CKP**: Upstream pressure of the PCK (production choke) [Pa];\n",
    "* **P-MON-SDV-P**: Upstream pressure of the production SDV (shutdown valve) [Pa];\n",
    "* **P-PDG**: Pressure at the PDG (permanent downhole gauge) [Pa];\n",
    "* **PT-P**: Downstream pressure of the PWV (production wing valve) in the production tube [Pa];\n",
    "* **P-TPT**: Pressure at the TPT (temperature and pressure transducer) [Pa];\n",
    "* **QBS**: Flow rate at the SP (service pump) [m3/s];\n",
    "* **QGL**: Gas lift flow rate [m3/s];\n",
    "* **T-JUS-CKP**: Downstream temperature of the PCK (production choke) [oC];\n",
    "* **T-MON-CKP**: Upstream temperature of the PCK (production choke) [oC];\n",
    "* **T-PDG**: Temperature at the PDG (permanent downhole gauge) [oC];\n",
    "* **T-TPT**: Temperature at the TPT (temperature and pressure transducer) [oC];\n",
    "* **class**: Label of the observation;\n",
    "* **state**: Well operational status.\n",
    "\n",
    "Other informations are also loaded into each pandas Dataframe:\n",
    "\n",
    "* **label**: instance label (event type);\n",
    "* **well**: well name. Hand-drawn and simulated instances have fixed names. Real instances have names masked with incremental id;\n",
    "* **id**: instance identifier. Hand-drawn and simulated instances have incremental id. Each real instance has an id generated from its first timestamp.\n",
    "\n",
    "More information about these variables can be obtained from the following publicly available documents:\n",
    "\n",
    "* ***Option in Portuguese***: R.E.V. Vargas. Base de dados e benchmarks para prognóstico de anomalias em sistemas de elevação de petróleo. Universidade Federal do Espírito Santo. Doctoral thesis. 2019. https://github.com/petrobras/3W/raw/main/docs/doctoral_thesis_ricardo_vargas.pdf.\n",
    "* ***Option in English***: B.G. Carvalho. Evaluating machine learning techniques for detection of flow instability events in offshore oil wells. Universidade Federal do Espírito Santo. Master's degree dissertation. 2021. https://github.com/petrobras/3W/raw/main/docs/master_degree_dissertation_bruno_carvalho.pdf."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 4. Table of Instances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following table shows the amount of instances that compose the 3W Dataset, by knowledge source (real, simulated and hand-drawn instances) and by instance label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "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",
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       "    }\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>SOURCE</th>\n",
       "      <th>REAL</th>\n",
       "      <th>SIMULATED</th>\n",
       "      <th>HAND-DRAWN</th>\n",
       "      <th>TOTAL</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>INSTANCE LABEL</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0 - Normal Operation</th>\n",
       "      <td>594</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>594</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1 - Abrupt Increase of BSW</th>\n",
       "      <td>4</td>\n",
       "      <td>114</td>\n",
       "      <td>10</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2 - Spurious Closure of DHSV</th>\n",
       "      <td>22</td>\n",
       "      <td>16</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3 - Severe Slugging</th>\n",
       "      <td>32</td>\n",
       "      <td>74</td>\n",
       "      <td>0</td>\n",
       "      <td>106</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4 - Flow Instability</th>\n",
       "      <td>343</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 - Rapid Productivity Loss</th>\n",
       "      <td>11</td>\n",
       "      <td>439</td>\n",
       "      <td>0</td>\n",
       "      <td>450</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 - Quick Restriction in PCK</th>\n",
       "      <td>6</td>\n",
       "      <td>215</td>\n",
       "      <td>0</td>\n",
       "      <td>221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7 - Scaling in PCK</th>\n",
       "      <td>36</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>46</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8 - Hydrate in Production Line</th>\n",
       "      <td>14</td>\n",
       "      <td>81</td>\n",
       "      <td>0</td>\n",
       "      <td>95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9 - Hydrate in Service Line</th>\n",
       "      <td>57</td>\n",
       "      <td>150</td>\n",
       "      <td>0</td>\n",
       "      <td>207</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TOTAL</th>\n",
       "      <td>1119</td>\n",
       "      <td>1089</td>\n",
       "      <td>20</td>\n",
       "      <td>2228</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "SOURCE                          REAL  SIMULATED  HAND-DRAWN  TOTAL\n",
       "INSTANCE LABEL                                                    \n",
       "0 - Normal Operation             594          0           0    594\n",
       "1 - Abrupt Increase of BSW         4        114          10    128\n",
       "2 - Spurious Closure of DHSV      22         16           0     38\n",
       "3 - Severe Slugging               32         74           0    106\n",
       "4 - Flow Instability             343          0           0    343\n",
       "5 - Rapid Productivity Loss       11        439           0    450\n",
       "6 - Quick Restriction in PCK       6        215           0    221\n",
       "7 - Scaling in PCK                36          0          10     46\n",
       "8 - Hydrate in Production Line    14         81           0     95\n",
       "9 - Hydrate in Service Line       57        150           0    207\n",
       "TOTAL                           1119       1089          20   2228"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "toi = tk.create_table_of_instances(real_instances, simulated_instances, drawn_instances)\n",
    "toi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 5. Rare Undesirable Events"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Considering only **real instances** and **threshold of 1%**, the 3W Dataset has the following amount of instances with rare events."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>SOURCE</th>\n",
       "      <th>REAL</th>\n",
       "      <th>SIMULATED</th>\n",
       "      <th>HAND-DRAWN</th>\n",
       "      <th>TOTAL</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>INSTANCE LABEL</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1 - Abrupt Increase of BSW</th>\n",
       "      <td>4</td>\n",
       "      <td>114</td>\n",
       "      <td>10</td>\n",
       "      <td>128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5 - Rapid Productivity Loss</th>\n",
       "      <td>11</td>\n",
       "      <td>439</td>\n",
       "      <td>0</td>\n",
       "      <td>450</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6 - Quick Restriction in PCK</th>\n",
       "      <td>6</td>\n",
       "      <td>215</td>\n",
       "      <td>0</td>\n",
       "      <td>221</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>TOTAL</th>\n",
       "      <td>21</td>\n",
       "      <td>768</td>\n",
       "      <td>10</td>\n",
       "      <td>799</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "SOURCE                        REAL  SIMULATED  HAND-DRAWN  TOTAL\n",
       "INSTANCE LABEL                                                  \n",
       "1 - Abrupt Increase of BSW       4        114          10    128\n",
       "5 - Rapid Productivity Loss     11        439           0    450\n",
       "6 - Quick Restriction in PCK     6        215           0    221\n",
       "TOTAL                           21        768          10    799"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "threshold = 0.01\n",
    "rue = tk.filter_rare_undesirable_events(toi, threshold)\n",
    "rue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If **simulated instances** are also considered, the amount of instances with rare events in 3W Dataset become the one listed below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "SOURCE          REAL  SIMULATED  HAND-DRAWN  TOTAL\n",
       "INSTANCE LABEL                                    \n",
       "TOTAL            0.0        0.0         0.0    0.0"
      ]
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     "execution_count": 7,
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   "source": [
    "rue = tk.filter_rare_undesirable_events(toi, threshold, simulated=True)\n",
    "rue"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After also considering the **hand-drawn instances**, we get the final amount of instances with rare events in 3W Dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
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      "text/plain": [
       "SOURCE          REAL  SIMULATED  HAND-DRAWN  TOTAL\n",
       "INSTANCE LABEL                                    \n",
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    "rue = tk.filter_rare_undesirable_events(toi, threshold, simulated=True, drawn=True)\n",
    "rue"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 6. Scatter Map of Real Instances"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A scatter map with all the **real instances** is shown below. The oldest one occurred in the middle of 2011 and the most recent one in the middle of 2023. In addition to the total number of considered wells, this map provides an overview of the occurrences distributions of each instance over time and between wells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2011, 2023)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
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    "tk.create_and_plot_scatter_map(real_instances)"
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   "source": [
    "# 7. Some Statistics"
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   "source": [
    "The 3W dataset's fundamental aspects related to inherent difficulties of actual data are presented next."
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   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Amount</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Missing Variables</th>\n",
       "      <td>41109</td>\n",
       "      <td>65.90% of 62384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Frozen Variables</th>\n",
       "      <td>6095</td>\n",
       "      <td>9.77% of 62384</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Unlabeled Observations</th>\n",
       "      <td>4028400</td>\n",
       "      <td>5.26% of 76587318</td>\n",
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       "                         Amount         Percentage\n",
       "Missing Variables         41109    65.90% of 62384\n",
       "Frozen Variables           6095     9.77% of 62384\n",
       "Unlabeled Observations  4028400  5.26% of 76587318"
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   "source": [
    "stats = tk.calc_stats_instances(real_instances, simulated_instances, drawn_instances)\n",
    "stats"
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