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       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>15.538406</td>\n",
       "      <td>2.299461</td>\n",
       "      <td>15.538407</td>\n",
       "      <td>19.231753</td>\n",
       "      <td>2.775025</td>\n",
       "      <td>19.231753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>44.914352</td>\n",
       "      <td>2.003585</td>\n",
       "      <td>44.914356</td>\n",
       "      <td>37.177478</td>\n",
       "      <td>1.657639</td>\n",
       "      <td>37.177476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>4.969428</td>\n",
       "      <td>1.516992</td>\n",
       "      <td>4.969429</td>\n",
       "      <td>9.180952</td>\n",
       "      <td>2.166264</td>\n",
       "      <td>9.180954</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>6.479793</td>\n",
       "      <td>1.693636</td>\n",
       "      <td>6.479793</td>\n",
       "      <td>11.448713</td>\n",
       "      <td>2.328062</td>\n",
       "      <td>11.448714</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>8.136086</td>\n",
       "      <td>1.885107</td>\n",
       "      <td>8.136086</td>\n",
       "      <td>12.954600</td>\n",
       "      <td>2.421493</td>\n",
       "      <td>12.954600</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>10.545197</td>\n",
       "      <td>2.200065</td>\n",
       "      <td>10.545198</td>\n",
       "      <td>15.315346</td>\n",
       "      <td>2.648960</td>\n",
       "      <td>15.315347</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>418.843522</td>\n",
       "      <td>18.692585</td>\n",
       "      <td>418.843567</td>\n",
       "      <td>363.624954</td>\n",
       "      <td>17.071243</td>\n",
       "      <td>363.624939</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             loss         mae         mse    val_loss     val_mae     val_mse\n",
       "count  100.000000  100.000000  100.000000  100.000000  100.000000  100.000000\n",
       "mean    15.538406    2.299461   15.538407   19.231753    2.775025   19.231753\n",
       "std     44.914352    2.003585   44.914356   37.177478    1.657639   37.177476\n",
       "min      4.969428    1.516992    4.969429    9.180952    2.166264    9.180954\n",
       "25%      6.479793    1.693636    6.479793   11.448713    2.328062   11.448714\n",
       "50%      8.136086    1.885107    8.136086   12.954600    2.421493   12.954600\n",
       "75%     10.545197    2.200065   10.545198   15.315346    2.648960   15.315347\n",
       "max    418.843522   18.692585  418.843567  363.624954   17.071243  363.624939"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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Jean-Luc Parouty committed
   "source": [
    "\n",
    "df=pd.DataFrame(data=history.history)\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min( val_mae ) : 2.1663\n"
     ]
    }
   ],
   "source": [
    "print(\"min( val_mae ) : {:.4f}\".format( min(history.history[\"val_mae\"]) ) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ooo.plot_history(history, plot={'MSE' :['mse', 'val_mse'],\n",
    "                                'MAE' :['mae', 'val_mae'],\n",
    "                                'LOSS':['loss','val_loss']})"
   ]
  },
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 7 - Make a prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
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   "metadata": {},
   "outputs": [],
   "source": [
    "my_data = [ 1.26425925, -0.48522739,  1.0436489 , -0.23112788,  1.37120745,\n",
    "       -2.14308942,  1.13489104, -1.06802005,  1.71189006,  1.57042287,\n",
    "        0.77859951,  0.14769795,  2.7585581 ]\n",
    "real_price = 10.4\n",
    "\n",
    "my_data=np.array(my_data).reshape(1,13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
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   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prédiction : 8.13 K$\n",
      "Reality    : 10.40 K$\n"
     ]
    }
   ],
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   "source": [
    "\n",
    "predictions = model.predict( my_data )\n",
    "print(\"Prédiction : {:.2f} K$\".format(predictions[0][0]))\n",
    "print(\"Reality    : {:.2f} K$\".format(real_price))"
   ]
  },
   "cell_type": "markdown",
   "source": [
    "---\n",
    "That's all folks !"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}