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   "source": [
    "### 6.2 - Training history\n",
    "What was the best result during our training ?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min( val_mae ) : 2.2683\n"
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     ]
    }
   ],
   "source": [
    "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",
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      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
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      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
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      "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      : 12.6915\n",
      "x_test / mae       : 2.2683\n",
      "x_test / mse       : 12.6915\n"
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     ]
    }
   ],
   "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": [
    "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",
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    "\n",
    "my_data=np.array(my_data).reshape(1,13)"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Prédiction : 10.75 K$   Reality : 10.40 K$\n"
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     ]
    }
   ],
   "source": [
    "predictions = loaded_model.predict( my_data )\n",
    "print(\"Prédiction : {:.2f} K$   Reality : {:.2f} K$\".format(predictions[0][0], real_price))"
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "<img width=\"80px\" src=\"../fidle/img/00-Fidle-logo-01.svg\"></img>"
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   ]
  }
 ],
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