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   ]
  },
  {
   "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": 19,
   "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": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x_test / loss      : 11.7020\n",
      "x_test / mae       : 2.4886\n",
      "x_test / mse       : 11.7020\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": 21,
   "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",
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    "\n",
    "mon_test=np.array(mon_test).reshape(1,13)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prédiction : 16.20 K$   Reality : 21.70 K$\n"
     ]
    }
   ],
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   "source": [
    "predictions = loaded_model.predict( mon_test )\n",
    "print(\"Prédiction : {:.2f} K$   Reality : {:.2f} K$\".format(predictions[0][0], y_train[13]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "That's all folks !"
   ]
  }
 ],
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