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      "354/354 [==============================] - 0s 165us/sample - loss: 5.1144 - mae: 1.5921 - mse: 5.1144 - val_loss: 7.7698 - val_mae: 2.0885 - val_mse: 7.7698\n",
      "Epoch 99/100\n",
      "354/354 [==============================] - 0s 167us/sample - loss: 5.4428 - mae: 1.6237 - mse: 5.4428 - val_loss: 7.6558 - val_mae: 2.0697 - val_mse: 7.6558\n",
      "Epoch 100/100\n",
      "354/354 [==============================] - 0s 170us/sample - loss: 5.0182 - mae: 1.5643 - mse: 5.0182 - val_loss: 8.6139 - val_mae: 2.2045 - val_mse: 8.6139\n"
   "source": [
    "history = model.fit(x_train,\n",
    "                    y_train,\n",
    "                    epochs          = 100,\n",
    "                    batch_size      = 10,\n",
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    "                    verbose         = 1,\n",
    "                    validation_data = (x_test, y_test))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 6 - Evaluate\n",
    "### 6.1 - Model evaluation\n",
    "MAE =  Mean Absolute Error (between the labels and predictions)  \n",
    "A mae equal to 3 represents an average error in prediction of $3k."
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 8,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x_test / loss      : 8.6139\n",
      "x_test / mae       : 2.2045\n",
      "x_test / mse       : 8.6139\n"
   "source": [
    "score = model.evaluate(x_test, y_test, verbose=0)\n",
    "\n",
    "print('x_test / loss      : {:5.4f}'.format(score[0]))\n",
    "print('x_test / mae       : {:5.4f}'.format(score[1]))\n",
    "print('x_test / mse       : {:5.4f}'.format(score[2]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2 - Training history\n",
    "What was the best result during our training ?"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 9,
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   "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>loss</th>\n",
       "      <th>mae</th>\n",
       "      <th>mse</th>\n",
       "      <th>val_loss</th>\n",
       "      <th>val_mae</th>\n",
       "      <th>val_mse</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\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",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>18.096026</td>\n",
       "      <td>2.476698</td>\n",
       "      <td>18.096025</td>\n",
       "      <td>13.967839</td>\n",
       "      <td>2.586850</td>\n",
       "      <td>13.967839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>54.625965</td>\n",
       "      <td>2.272933</td>\n",
       "      <td>54.625960</td>\n",
       "      <td>34.539291</td>\n",
       "      <td>1.585967</td>\n",
       "      <td>34.539293</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>5.018227</td>\n",
       "      <td>1.564279</td>\n",
       "      <td>5.018228</td>\n",
       "      <td>7.466392</td>\n",
       "      <td>2.056279</td>\n",
       "      <td>7.466392</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>6.454060</td>\n",
       "      <td>1.777231</td>\n",
       "      <td>6.454060</td>\n",
       "      <td>8.083174</td>\n",
       "      <td>2.193839</td>\n",
       "      <td>8.083174</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>8.368772</td>\n",
       "      <td>2.002227</td>\n",
       "      <td>8.368773</td>\n",
       "      <td>8.651632</td>\n",
       "      <td>2.297827</td>\n",
       "      <td>8.651632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>11.280877</td>\n",
       "      <td>2.313615</td>\n",
       "      <td>11.280877</td>\n",
       "      <td>9.527210</td>\n",
       "      <td>2.424410</td>\n",
       "      <td>9.527210</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>484.125081</td>\n",
       "      <td>20.024147</td>\n",
       "      <td>484.125031</td>\n",
       "      <td>336.138720</td>\n",
       "      <td>16.295881</td>\n",
       "      <td>336.138733</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    18.096026    2.476698   18.096025   13.967839    2.586850   13.967839\n",
       "std     54.625965    2.272933   54.625960   34.539291    1.585967   34.539293\n",
       "min      5.018227    1.564279    5.018228    7.466392    2.056279    7.466392\n",
       "25%      6.454060    1.777231    6.454060    8.083174    2.193839    8.083174\n",
       "50%      8.368772    2.002227    8.368773    8.651632    2.297827    8.651632\n",
       "75%     11.280877    2.313615   11.280877    9.527210    2.424410    9.527210\n",
       "max    484.125081   20.024147  484.125031  336.138720   16.295881  336.138733"
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     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
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   "source": [
    "\n",
    "df=pd.DataFrame(data=history.history)\n",
    "df.describe()"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 10,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min( val_mae ) : 2.0563\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\n",
    "The data must be normalized with the parameters (mean, std) previously used."
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   ]
  },
  {
   "cell_type": "code",
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   "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",
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   "execution_count": 13,
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   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prédiction : 11.38 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",
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Jean-Luc Parouty committed
    "<img width=\"80px\" src=\"../fidle/img/00-Fidle-logo-01.svg\"></img>"
  }
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