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    "print(\"min( val_mae ) : {:.4f}\".format( min(history.history[\"val_mae\"]) ) )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "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']})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 7 - Restore a model :"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.1 - Reload model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"sequential\"\n",
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "Dense_n1 (Dense)             (None, 64)                896       \n",
      "_________________________________________________________________\n",
      "Dense_n2 (Dense)             (None, 64)                4160      \n",
      "_________________________________________________________________\n",
      "Output (Dense)               (None, 1)                 65        \n",
      "=================================================================\n",
      "Total params: 5,121\n",
      "Trainable params: 5,121\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n",
      "Loaded.\n"
     ]
    }
   ],
   "source": [
    "loaded_model = tf.keras.models.load_model('./run/models/best_model.h5')\n",
    "loaded_model.summary()\n",
    "print(\"Loaded.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 7.2 - Evaluate it :"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x_test / loss      : 9.1795\n",
      "x_test / mae       : 2.1552\n",
      "x_test / mse       : 9.1795\n"
     ]
    }
   ],
   "source": [
    "score = loaded_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": [
    "### 7.3 - Make a prediction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "mon_test=[-0.20113196, -0.48631663,  1.23572348, -0.26929877,  2.67879106,\n",
    "       -0.89623587,  1.09961251, -1.05826704, -0.55823117, -0.06159088,\n",
    "       -1.76085159, -1.97039608,  0.52775666]\n",
    "\n",
    "mon_test=np.array(mon_test).reshape(1,13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prédiction : 16.51 K$   Reality : 20.20 K$\n"
     ]
    }
   ],
   "source": [
    "predictions = loaded_model.predict( mon_test )\n",
    "print(\"Prédiction : {:.2f} K$   Reality : {:.2f} K$\".format(predictions[0][0], y_train[13]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "![](../fidle/img/00-Fidle-logo-01_s.png)"
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   ]
  }
 ],
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