green-energy-forecasting-using-lstms.ipynb

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   "source": [
    "## Importing the relevant libraries"
   ]
  },
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   "source": [
    "import torch, time\n",
    "import torch.nn as nn\n",
    "import torch.optim as opt\n",
    "import torch.nn.functional as F\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "register_matplotlib_converters()"
   ]
  },
  {
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   "id": "db8b5013",
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Device: 0\n",
      "Device Name: Tesla T4\n"
     ]
    }
   ],
   "source": [
    "if torch.cuda.is_available():\n",
    "    print(\"Device:\", torch.cuda.current_device())\n",
    "    print(\"Device Name:\", torch.cuda.get_device_name())"
   ]
  },
  {
   "cell_type": "markdown",
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    "tags": []
   },
   "source": [
    "## Loading the dataset"
   ]
  },
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   "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>energy</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>datetime</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2008-03-01 00:00:00</th>\n",
       "      <td>1259.985563</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-03-01 01:00:00</th>\n",
       "      <td>1095.541500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-03-01 02:00:00</th>\n",
       "      <td>1056.247500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-03-01 03:00:00</th>\n",
       "      <td>1034.742000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-03-01 04:00:00</th>\n",
       "      <td>1026.334500</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                          energy\n",
       "datetime                        \n",
       "2008-03-01 00:00:00  1259.985563\n",
       "2008-03-01 01:00:00  1095.541500\n",
       "2008-03-01 02:00:00  1056.247500\n",
       "2008-03-01 03:00:00  1034.742000\n",
       "2008-03-01 04:00:00  1026.334500"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"/kaggle/input/forecasting-green-energy/train_IxoE5JN.csv\",parse_dates=True,index_col='datetime',usecols=['datetime','energy'])\n",
    "df.head()"
   ]
  },
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   "cell_type": "markdown",
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     "start_time": "2024-09-17T01:34:00.181965",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Data Exploration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fbe72867",
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   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(94992, 1)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
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    }
   ],
   "source": [
    "df.shape"
   ]
  },
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   "id": "b4720b42",
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "DatetimeIndex: 94992 entries, 2008-03-01 00:00:00 to 2018-12-31 23:00:00\n",
      "Data columns (total 1 columns):\n",
      " #   Column  Non-Null Count  Dtype  \n",
      "---  ------  --------------  -----  \n",
      " 0   energy  93092 non-null  float64\n",
      "dtypes: float64(1)\n",
      "memory usage: 1.4 MB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
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   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DatetimeIndex(['2008-03-01 00:00:00', '2008-03-01 01:00:00',\n",
       "               '2008-03-01 02:00:00', '2008-03-01 03:00:00',\n",
       "               '2008-03-01 04:00:00', '2008-03-01 05:00:00',\n",
       "               '2008-03-01 06:00:00', '2008-03-01 07:00:00',\n",
       "               '2008-03-01 08:00:00', '2008-03-01 09:00:00',\n",
       "               ...\n",
       "               '2018-12-31 14:00:00', '2018-12-31 15:00:00',\n",
       "               '2018-12-31 16:00:00', '2018-12-31 17:00:00',\n",
       "               '2018-12-31 18:00:00', '2018-12-31 19:00:00',\n",
       "               '2018-12-31 20:00:00', '2018-12-31 21:00:00',\n",
       "               '2018-12-31 22:00:00', '2018-12-31 23:00:00'],\n",
       "              dtype='datetime64[ns]', name='datetime', length=94992, freq=None)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
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    }
   ],
   "source": [
    "df.index"
   ]
  },
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "energy    1900\n",
       "dtype: int64"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isna().sum()"
   ]
  },
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   "execution_count": 8,
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "energy    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = df.fillna(df.energy.mean(),axis=1)\n",
    "df.isnull().sum()"
   ]
  },
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   "cell_type": "code",
   "execution_count": 9,
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    {
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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.plot(figsize=(10,4));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "676c75cb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.616764Z",
     "iopub.status.busy": "2024-09-17T01:34:06.616169Z",
     "iopub.status.idle": "2024-09-17T01:34:06.622885Z",
     "shell.execute_reply": "2024-09-17T01:34:06.622044Z"
    },
    "papermill": {
     "duration": 0.028287,
     "end_time": "2024-09-17T01:34:06.624950",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.596663",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1259.9855625, 1095.5415   , 1056.2475   , ..., 2365.9944   ,\n",
       "       2342.9428   , 2180.2176   ])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = df.energy.astype(float).values\n",
    "y"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "857680f5",
   "metadata": {
    "papermill": {
     "duration": 0.017708,
     "end_time": "2024-09-17T01:34:06.660319",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.642611",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Dividing data into train and test sets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "373ef9d8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.698620Z",
     "iopub.status.busy": "2024-09-17T01:34:06.697871Z",
     "iopub.status.idle": "2024-09-17T01:34:06.703070Z",
     "shell.execute_reply": "2024-09-17T01:34:06.702091Z"
    },
    "papermill": {
     "duration": 0.02674,
     "end_time": "2024-09-17T01:34:06.705271",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.678531",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "test_size = int(0.2*len(y))\n",
    "train_set = y[:-test_size]\n",
    "test_set = y[-test_size:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "350b421e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.742308Z",
     "iopub.status.busy": "2024-09-17T01:34:06.741998Z",
     "iopub.status.idle": "2024-09-17T01:34:06.747850Z",
     "shell.execute_reply": "2024-09-17T01:34:06.746967Z"
    },
    "papermill": {
     "duration": 0.026942,
     "end_time": "2024-09-17T01:34:06.749979",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.723037",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((75994,), (18998,))"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_set.shape, test_set.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc485e8c",
   "metadata": {
    "papermill": {
     "duration": 0.01745,
     "end_time": "2024-09-17T01:34:06.785088",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.767638",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Performing Min-Max scaling on train data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "35d669e7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.822308Z",
     "iopub.status.busy": "2024-09-17T01:34:06.821528Z",
     "iopub.status.idle": "2024-09-17T01:34:06.827175Z",
     "shell.execute_reply": "2024-09-17T01:34:06.826407Z"
    },
    "papermill": {
     "duration": 0.026231,
     "end_time": "2024-09-17T01:34:06.829111",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.802880",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "scaler = MinMaxScaler(feature_range=(-1,1))\n",
    "train_norm = scaler.fit_transform(train_set.reshape(-1,1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "3950178c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.866553Z",
     "iopub.status.busy": "2024-09-17T01:34:06.866037Z",
     "iopub.status.idle": "2024-09-17T01:34:06.872742Z",
     "shell.execute_reply": "2024-09-17T01:34:06.871812Z"
    },
    "papermill": {
     "duration": 0.027482,
     "end_time": "2024-09-17T01:34:06.874651",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.847169",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-0.64431156],\n",
       "       [-0.79291752],\n",
       "       [-0.82842699],\n",
       "       ...,\n",
       "       [-0.47034113],\n",
       "       [-0.4331855 ],\n",
       "       [-0.33020477]])"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "80627f62",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:06.911796Z",
     "iopub.status.busy": "2024-09-17T01:34:06.911051Z",
     "iopub.status.idle": "2024-09-17T01:34:06.994209Z",
     "shell.execute_reply": "2024-09-17T01:34:06.993348Z"
    },
    "papermill": {
     "duration": 0.10339,
     "end_time": "2024-09-17T01:34:06.996206",
     "exception": false,
     "start_time": "2024-09-17T01:34:06.892816",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([-0.6443, -0.7929, -0.8284,  ..., -0.4703, -0.4332, -0.3302])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_norm = torch.FloatTensor(train_norm).view(-1) # Flattening the output tensor\n",
    "train_norm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "3ece48ae",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:07.035687Z",
     "iopub.status.busy": "2024-09-17T01:34:07.035090Z",
     "iopub.status.idle": "2024-09-17T01:34:07.040655Z",
     "shell.execute_reply": "2024-09-17T01:34:07.039807Z"
    },
    "papermill": {
     "duration": 0.02595,
     "end_time": "2024-09-17T01:34:07.042723",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.016773",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "torch.Size([75994])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_norm.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e2546b0",
   "metadata": {
    "papermill": {
     "duration": 0.017588,
     "end_time": "2024-09-17T01:34:07.078995",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.061407",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Defining a custom function to segregate sequential data into batches"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "b5a36fa7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:07.115573Z",
     "iopub.status.busy": "2024-09-17T01:34:07.115247Z",
     "iopub.status.idle": "2024-09-17T01:34:07.120471Z",
     "shell.execute_reply": "2024-09-17T01:34:07.119522Z"
    },
    "papermill": {
     "duration": 0.025613,
     "end_time": "2024-09-17T01:34:07.122389",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.096776",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "def divide_data_into_batches(input_sequence,window_length):\n",
    "    outputs = []\n",
    "    \n",
    "    for i in range(len(input_sequence)-window_length):\n",
    "        window = input_sequence[i:i+window_length]\n",
    "        label = input_sequence[i+window_length:i+window_length+1]\n",
    "        outputs.append((window,label))\n",
    "    \n",
    "    return outputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "4240eb94",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:07.158919Z",
     "iopub.status.busy": "2024-09-17T01:34:07.158635Z",
     "iopub.status.idle": "2024-09-17T01:34:07.895518Z",
     "shell.execute_reply": "2024-09-17T01:34:07.894575Z"
    },
    "papermill": {
     "duration": 0.757613,
     "end_time": "2024-09-17T01:34:07.897692",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.140079",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(tensor([-0.6443, -0.7929, -0.8284, -0.8479, -0.8555, -0.8487, -0.8008, -0.6879,\n",
       "          -0.6139, -0.5911, -0.5739, -0.5639, -0.5533, -0.5510, -0.5309, -0.5242,\n",
       "          -0.5242, -0.5318, -0.5551, -0.5806]),\n",
       "  tensor([-0.5664])),\n",
       " (tensor([-0.7929, -0.8284, -0.8479, -0.8555, -0.8487, -0.8008, -0.6879, -0.6139,\n",
       "          -0.5911, -0.5739, -0.5639, -0.5533, -0.5510, -0.5309, -0.5242, -0.5242,\n",
       "          -0.5318, -0.5551, -0.5806, -0.5664]),\n",
       "  tensor([-0.5554])),\n",
       " (tensor([-0.8284, -0.8479, -0.8555, -0.8487, -0.8008, -0.6879, -0.6139, -0.5911,\n",
       "          -0.5739, -0.5639, -0.5533, -0.5510, -0.5309, -0.5242, -0.5242, -0.5318,\n",
       "          -0.5551, -0.5806, -0.5664, -0.5554]),\n",
       "  tensor([-0.5963])),\n",
       " (tensor([-0.8479, -0.8555, -0.8487, -0.8008, -0.6879, -0.6139, -0.5911, -0.5739,\n",
       "          -0.5639, -0.5533, -0.5510, -0.5309, -0.5242, -0.5242, -0.5318, -0.5551,\n",
       "          -0.5806, -0.5664, -0.5554, -0.5963]),\n",
       "  tensor([-0.6579])),\n",
       " (tensor([-0.8555, -0.8487, -0.8008, -0.6879, -0.6139, -0.5911, -0.5739, -0.5639,\n",
       "          -0.5533, -0.5510, -0.5309, -0.5242, -0.5242, -0.5318, -0.5551, -0.5806,\n",
       "          -0.5664, -0.5554, -0.5963, -0.6579]),\n",
       "  tensor([-0.7315]))]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_df = divide_data_into_batches(train_norm,20)\n",
    "train_df[:5]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df8b13b0",
   "metadata": {
    "papermill": {
     "duration": 0.018806,
     "end_time": "2024-09-17T01:34:07.936133",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.917327",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Defining the custom LSTM model architecture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "86254027",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:07.975232Z",
     "iopub.status.busy": "2024-09-17T01:34:07.974857Z",
     "iopub.status.idle": "2024-09-17T01:34:07.982254Z",
     "shell.execute_reply": "2024-09-17T01:34:07.981350Z"
    },
    "papermill": {
     "duration": 0.029394,
     "end_time": "2024-09-17T01:34:07.984527",
     "exception": false,
     "start_time": "2024-09-17T01:34:07.955133",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "class LSTM(nn.Module):\n",
    "    \n",
    "    def __init__(self,input_size=1,hidden_size=256,output_size=1):\n",
    "        super().__init__()\n",
    "        self.hidden_size = hidden_size\n",
    "        self.lstm = nn.LSTM(input_size,hidden_size)\n",
    "        self.linear = nn.Linear(hidden_size,output_size)\n",
    "        self.hidden = (torch.zeros(1,1,hidden_size),torch.zeros(1,1,hidden_size))\n",
    "    \n",
    "    def forward(self,sequence):\n",
    "        lstm_output, self.hidden = self.lstm(sequence.view(len(sequence),1,-1),self.hidden)\n",
    "        pred = self.linear(lstm_output.view(len(lstm_output),-1))\n",
    "        return pred[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0e79d1d3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:08.022900Z",
     "iopub.status.busy": "2024-09-17T01:34:08.022195Z",
     "iopub.status.idle": "2024-09-17T01:34:08.253244Z",
     "shell.execute_reply": "2024-09-17T01:34:08.252338Z"
    },
    "papermill": {
     "duration": 0.252354,
     "end_time": "2024-09-17T01:34:08.255239",
     "exception": false,
     "start_time": "2024-09-17T01:34:08.002885",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LSTM(\n",
       "  (lstm): LSTM(1, 256)\n",
       "  (linear): Linear(in_features=256, out_features=1, bias=True)\n",
       ")"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.manual_seed(42)\n",
    "model = LSTM().cuda()\n",
    "model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "57e2b42c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:08.292487Z",
     "iopub.status.busy": "2024-09-17T01:34:08.292140Z",
     "iopub.status.idle": "2024-09-17T01:34:08.297282Z",
     "shell.execute_reply": "2024-09-17T01:34:08.296391Z"
    },
    "papermill": {
     "duration": 0.026052,
     "end_time": "2024-09-17T01:34:08.299448",
     "exception": false,
     "start_time": "2024-09-17T01:34:08.273396",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1024\n",
      "262144\n",
      "1024\n",
      "1024\n",
      "256\n",
      "1\n",
      "Total parameters of LSTM model: 265473\n"
     ]
    }
   ],
   "source": [
    "total_parameters = 0\n",
    "\n",
    "for param in model.parameters():\n",
    "    print(param.numel())\n",
    "    total_parameters += param.numel()\n",
    "    \n",
    "print(\"Total parameters of LSTM model:\", total_parameters)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "e87bbaa4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:08.337118Z",
     "iopub.status.busy": "2024-09-17T01:34:08.336837Z",
     "iopub.status.idle": "2024-09-17T01:34:09.544854Z",
     "shell.execute_reply": "2024-09-17T01:34:09.543746Z"
    },
    "papermill": {
     "duration": 1.230203,
     "end_time": "2024-09-17T01:34:09.547911",
     "exception": false,
     "start_time": "2024-09-17T01:34:08.317708",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "criterion = nn.MSELoss()\n",
    "optimizer = opt.Adam(params=model.parameters(),lr=0.001)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c2d96d0",
   "metadata": {
    "papermill": {
     "duration": 0.018393,
     "end_time": "2024-09-17T01:34:09.586854",
     "exception": false,
     "start_time": "2024-09-17T01:34:09.568461",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Training model on train data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a172ea84",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T01:34:09.625467Z",
     "iopub.status.busy": "2024-09-17T01:34:09.624769Z",
     "iopub.status.idle": "2024-09-17T02:54:10.855125Z",
     "shell.execute_reply": "2024-09-17T02:54:10.853943Z"
    },
    "papermill": {
     "duration": 4801.272151,
     "end_time": "2024-09-17T02:54:10.876927",
     "exception": false,
     "start_time": "2024-09-17T01:34:09.604776",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1 -> Loss: 0.0008620006265118718\n",
      "Epoch 2 -> Loss: 0.0006506193894892931\n",
      "Epoch 3 -> Loss: 0.0013005260843783617\n",
      "Epoch 4 -> Loss: 0.0005761325010098517\n",
      "Epoch 5 -> Loss: 0.000806712603662163\n",
      "Epoch 6 -> Loss: 0.0005616828566417098\n",
      "Epoch 7 -> Loss: 0.0004983394755981863\n",
      "Epoch 8 -> Loss: 0.0003651303704828024\n",
      "Epoch 9 -> Loss: 0.00041306341881863773\n",
      "Epoch 10 -> Loss: 0.000606060610152781\n",
      "Epoch 11 -> Loss: 0.0005245458451099694\n",
      "Epoch 12 -> Loss: 0.00037362566217780113\n",
      "Epoch 13 -> Loss: 0.0001891703432193026\n",
      "Epoch 14 -> Loss: 1.1908095842727562e-07\n",
      "Epoch 15 -> Loss: 0.00022229159367270768\n",
      "Epoch 16 -> Loss: 3.34622964146547e-05\n",
      "Epoch 17 -> Loss: 0.0001381874899379909\n",
      "Epoch 18 -> Loss: 2.9995366276125424e-05\n",
      "Epoch 19 -> Loss: 1.0178070624533575e-05\n",
      "Epoch 20 -> Loss: 0.0004777151334565133\n",
      "Epoch 21 -> Loss: 0.0012232521548867226\n",
      "Epoch 22 -> Loss: 0.0014386993134394288\n",
      "Epoch 23 -> Loss: 0.0010117292404174805\n",
      "Epoch 24 -> Loss: 0.0012473749229684472\n",
      "Epoch 25 -> Loss: 0.0015843309229239821\n",
      "Total time elapsed in LSTM model training: 80.02037251790365 minutes.\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "\n",
    "epochs = 25\n",
    "\n",
    "losses = []\n",
    "\n",
    "for i in range(1,epochs+1):\n",
    "    \n",
    "    for sequence, y_train in train_df:\n",
    "        sequence, y_train = sequence.cuda(), y_train.cuda()\n",
    "        optimizer.zero_grad() # Reset the gradients to zero at each step\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size,device='cuda'),torch.zeros(1,1,model.hidden_size,device='cuda')) # Reset the LSTM model's hidden and cell states\n",
    "        y_pred = model(sequence) # Make predictions\n",
    "        loss = criterion(y_pred,y_train)\n",
    "        losses.append(loss.item())\n",
    "        loss.backward() # Perform backpropagation\n",
    "        optimizer.step() # Update the weights and biases during each backprop step\n",
    "    \n",
    "    print(f\"Epoch {i} -> Loss: {loss.item()}\")\n",
    "    \n",
    "print(f\"Total time elapsed in LSTM model training: {(time.time()-start_time)/60} minutes.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d695ecbd",
   "metadata": {
    "papermill": {
     "duration": 0.020197,
     "end_time": "2024-09-17T02:54:10.917592",
     "exception": false,
     "start_time": "2024-09-17T02:54:10.897395",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Making predictions on test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "cc6b8630",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:10.960060Z",
     "iopub.status.busy": "2024-09-17T02:54:10.959666Z",
     "iopub.status.idle": "2024-09-17T02:54:10.983177Z",
     "shell.execute_reply": "2024-09-17T02:54:10.982381Z"
    },
    "papermill": {
     "duration": 0.047488,
     "end_time": "2024-09-17T02:54:10.985446",
     "exception": false,
     "start_time": "2024-09-17T02:54:10.937958",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "forecast = 24\n",
    "window_size = 20\n",
    "\n",
    "predictions = train_norm[-window_size:].tolist()\n",
    "\n",
    "model.eval()\n",
    "\n",
    "for i in range(forecast):\n",
    "    seq = torch.FloatTensor(predictions[-window_size:]).cuda()\n",
    "    \n",
    "    with torch.no_grad():\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size,device='cuda'),torch.zeros(1,1,model.hidden_size,device='cuda'))\n",
    "        pred = model(seq).item()\n",
    "        predictions.append(pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b6223e5e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.027696Z",
     "iopub.status.busy": "2024-09-17T02:54:11.027342Z",
     "iopub.status.idle": "2024-09-17T02:54:11.034028Z",
     "shell.execute_reply": "2024-09-17T02:54:11.033069Z"
    },
    "papermill": {
     "duration": 0.030363,
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     "exception": false,
     "start_time": "2024-09-17T02:54:11.005739",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-0.251140296459198,\n",
       " -0.1986013650894165,\n",
       " -0.16598115861415863,\n",
       " -0.1437562108039856,\n",
       " -0.13345475494861603,\n",
       " -0.1354474425315857,\n",
       " -0.14267143607139587,\n",
       " -0.1526334285736084,\n",
       " -0.16570508480072021,\n",
       " -0.1834857314825058,\n",
       " -0.20167601108551025,\n",
       " -0.21649780869483948,\n",
       " -0.19369809329509735,\n",
       " -0.17821523547172546,\n",
       " -0.20418435335159302,\n",
       " -0.26293763518333435,\n",
       " -0.3444518446922302,\n",
       " -0.4073234498500824,\n",
       " -0.4451305866241455,\n",
       " -0.46586012840270996,\n",
       " -0.47580254077911377,\n",
       " -0.4655313789844513,\n",
       " -0.43294504284858704,\n",
       " -0.37833869457244873]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions[-24:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "3874d93b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.078121Z",
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    "papermill": {
     "duration": 0.030879,
     "end_time": "2024-09-17T02:54:11.087377",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.056498",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1695.06019814],\n",
       "       [1753.19861848],\n",
       "       [1789.29541806],\n",
       "       [1813.88905414],\n",
       "       [1825.28841752],\n",
       "       [1823.08335348],\n",
       "       [1815.08944188],\n",
       "       [1804.06572114],\n",
       "       [1789.60091524],\n",
       "       [1769.92524458],\n",
       "       [1749.79628317],\n",
       "       [1733.3948095 ],\n",
       "       [1758.62447069],\n",
       "       [1775.75745898],\n",
       "       [1747.02060706],\n",
       "       [1682.00552383],\n",
       "       [1591.80370105],\n",
       "       [1522.23137224],\n",
       "       [1480.39483023],\n",
       "       [1457.45597742],\n",
       "       [1446.45392361],\n",
       "       [1457.81976426],\n",
       "       [1493.87908367],\n",
       "       [1554.30526187]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_predictions = scaler.inverse_transform(np.array(predictions).reshape(-1,1))\n",
    "true_predictions[-24:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0bd7800a",
   "metadata": {
    "papermill": {
     "duration": 0.019929,
     "end_time": "2024-09-17T02:54:11.127631",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.107702",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Visualizing predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a134f3bb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.169319Z",
     "iopub.status.busy": "2024-09-17T02:54:11.169034Z",
     "iopub.status.idle": "2024-09-17T02:54:11.175350Z",
     "shell.execute_reply": "2024-09-17T02:54:11.174574Z"
    },
    "papermill": {
     "duration": 0.029503,
     "end_time": "2024-09-17T02:54:11.177208",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.147705",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['2018-12-07', '2018-12-08', '2018-12-09', '2018-12-10',\n",
       "       '2018-12-11', '2018-12-12', '2018-12-13', '2018-12-14',\n",
       "       '2018-12-15', '2018-12-16', '2018-12-17', '2018-12-18',\n",
       "       '2018-12-19', '2018-12-20', '2018-12-21', '2018-12-22',\n",
       "       '2018-12-23', '2018-12-24', '2018-12-25', '2018-12-26',\n",
       "       '2018-12-27', '2018-12-28', '2018-12-29', '2018-12-30'],\n",
       "      dtype='datetime64[D]')"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.arange('2018-12-07','2018-12-31',dtype='datetime64[D]')\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "06aea790",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.218562Z",
     "iopub.status.busy": "2024-09-17T02:54:11.218247Z",
     "iopub.status.idle": "2024-09-17T02:54:11.223506Z",
     "shell.execute_reply": "2024-09-17T02:54:11.222721Z"
    },
    "papermill": {
     "duration": 0.028099,
     "end_time": "2024-09-17T02:54:11.225389",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.197290",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "24"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "d06c8e77",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.266813Z",
     "iopub.status.busy": "2024-09-17T02:54:11.266517Z",
     "iopub.status.idle": "2024-09-17T02:54:11.743433Z",
     "shell.execute_reply": "2024-09-17T02:54:11.742547Z"
    },
    "papermill": {
     "duration": 0.499834,
     "end_time": "2024-09-17T02:54:11.745425",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.245591",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,4))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "plt.plot(df['energy'])\n",
    "plt.plot(x,true_predictions[-forecast:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "79cfb719",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:11.790832Z",
     "iopub.status.busy": "2024-09-17T02:54:11.790513Z",
     "iopub.status.idle": "2024-09-17T02:54:12.067207Z",
     "shell.execute_reply": "2024-09-17T02:54:12.066181Z"
    },
    "papermill": {
     "duration": 0.301017,
     "end_time": "2024-09-17T02:54:12.069444",
     "exception": false,
     "start_time": "2024-09-17T02:54:11.768427",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,4))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "fig.autofmt_xdate()\n",
    "plt.plot(df['energy']['2018-12-07':])\n",
    "plt.plot(x,true_predictions[-forecast:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09ac47a6",
   "metadata": {
    "papermill": {
     "duration": 0.022959,
     "end_time": "2024-09-17T02:54:12.115484",
     "exception": false,
     "start_time": "2024-09-17T02:54:12.092525",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Training the model on entire data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "0556a242",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T02:54:12.163998Z",
     "iopub.status.busy": "2024-09-17T02:54:12.162863Z",
     "iopub.status.idle": "2024-09-17T04:32:00.483293Z",
     "shell.execute_reply": "2024-09-17T04:32:00.482197Z"
    },
    "papermill": {
     "duration": 5868.37142,
     "end_time": "2024-09-17T04:32:00.510113",
     "exception": false,
     "start_time": "2024-09-17T02:54:12.138693",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1 -> Loss: 0.004948406480252743\n",
      "Epoch 2 -> Loss: 0.008339885622262955\n",
      "Epoch 3 -> Loss: 0.009364664554595947\n",
      "Epoch 4 -> Loss: 0.008479787968099117\n",
      "Epoch 5 -> Loss: 0.00609207758679986\n",
      "Epoch 6 -> Loss: 0.0011231048265472054\n",
      "Epoch 7 -> Loss: 0.005273658316582441\n",
      "Epoch 8 -> Loss: 0.0058448356576263905\n",
      "Epoch 9 -> Loss: 0.0034330408088862896\n",
      "Epoch 10 -> Loss: 0.0032004693057388067\n",
      "Epoch 11 -> Loss: 0.0027879863046109676\n",
      "Epoch 12 -> Loss: 0.0042619421146810055\n",
      "Epoch 13 -> Loss: 0.0036986987106502056\n",
      "Epoch 14 -> Loss: 0.006093249656260014\n",
      "Epoch 15 -> Loss: 0.0007110819569788873\n",
      "Epoch 16 -> Loss: 0.01149833481758833\n",
      "Epoch 17 -> Loss: 9.495489211985841e-05\n",
      "Epoch 18 -> Loss: 0.0008733381982892752\n",
      "Epoch 19 -> Loss: 0.0049483017064630985\n",
      "Epoch 20 -> Loss: 0.006821550894528627\n",
      "Epoch 21 -> Loss: 0.0007068318082019687\n",
      "Epoch 22 -> Loss: 0.00161503697745502\n",
      "Epoch 23 -> Loss: 0.0021325726993381977\n",
      "Epoch 24 -> Loss: 0.0017510721227154136\n",
      "Epoch 25 -> Loss: 0.0041568698361516\n",
      "Total time elapsed in LSTM model training: 97.80519085327784 minutes.\n"
     ]
    }
   ],
   "source": [
    "start_time = time.time()\n",
    "\n",
    "epochs = 25\n",
    "\n",
    "y_norm = scaler.transform(np.array(y).reshape(-1,1))\n",
    "y_norm = torch.FloatTensor(y_norm).view(-1)\n",
    "all_data = divide_data_into_batches(y_norm,window_size)\n",
    "\n",
    "model.train()\n",
    "\n",
    "for i in range(1,epochs+1):\n",
    "    \n",
    "    for seq, y_train in all_data:\n",
    "        seq, y_train = seq.cuda(), y_train.cuda()\n",
    "        optimizer.zero_grad()\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size,device='cuda'),\n",
    "                       torch.zeros(1,1,model.hidden_size,device='cuda'))\n",
    "        y_pred = model(seq)\n",
    "        loss = criterion(y_pred,y_train)\n",
    "        loss.backward()\n",
    "        optimizer.step()\n",
    "        \n",
    "    print(f\"Epoch {i} -> Loss: {loss.item()}\")\n",
    "\n",
    "print(f\"Total time elapsed in LSTM model training: {(time.time()-start_time)/60} minutes.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b043f56",
   "metadata": {
    "papermill": {
     "duration": 0.024288,
     "end_time": "2024-09-17T04:32:00.559018",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.534730",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Making forecast of energy production for 3 days"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "7c8f21d8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.609528Z",
     "iopub.status.busy": "2024-09-17T04:32:00.609166Z",
     "iopub.status.idle": "2024-09-17T04:32:00.636857Z",
     "shell.execute_reply": "2024-09-17T04:32:00.636184Z"
    },
    "papermill": {
     "duration": 0.054896,
     "end_time": "2024-09-17T04:32:00.638607",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.583711",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "forecast = 36\n",
    "predictions = y_norm[-window_size:].tolist()\n",
    "\n",
    "model.eval()\n",
    "\n",
    "for i in range(forecast):\n",
    "    seq = torch.FloatTensor(predictions[-window_size:]).cuda()\n",
    "    \n",
    "    with torch.no_grad():\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size,device='cuda'),\n",
    "                       torch.zeros(1,1,model.hidden_size,device='cuda'))\n",
    "        pred = model(seq)\n",
    "        predictions.append(pred.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "fe27e025",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.688446Z",
     "iopub.status.busy": "2024-09-17T04:32:00.688127Z",
     "iopub.status.idle": "2024-09-17T04:32:00.694186Z",
     "shell.execute_reply": "2024-09-17T04:32:00.693377Z"
    },
    "papermill": {
     "duration": 0.033141,
     "end_time": "2024-09-17T04:32:00.695949",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.662808",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0.012749284505844116,\n",
       " -0.10355354845523834,\n",
       " -0.1898045688867569,\n",
       " -0.2506770193576813,\n",
       " -0.2661556303501129,\n",
       " -0.2701815664768219,\n",
       " -0.23000329732894897,\n",
       " -0.11242198944091797,\n",
       " -0.016061723232269287,\n",
       " 0.07200497388839722,\n",
       " 0.16450130939483643,\n",
       " 0.23343920707702637,\n",
       " 0.27004510164260864,\n",
       " 0.27417778968811035,\n",
       " 0.24218231439590454,\n",
       " 0.17572951316833496,\n",
       " 0.08018773794174194,\n",
       " -0.028196781873703003,\n",
       " -0.12543447315692902,\n",
       " -0.18652214109897614,\n",
       " -0.25143963098526,\n",
       " -0.28778064250946045,\n",
       " -0.2981705665588379,\n",
       " -0.2872854769229889,\n",
       " -0.23720094561576843,\n",
       " -0.16225823760032654,\n",
       " -0.09154646098613739,\n",
       " -0.051874369382858276,\n",
       " -0.01754102110862732,\n",
       " 0.0011564791202545166,\n",
       " 0.0009004771709442139,\n",
       " -0.0210493803024292,\n",
       " -0.06655991077423096,\n",
       " -0.121654212474823,\n",
       " -0.17460456490516663,\n",
       " -0.21882551908493042]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictions[-36:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "3d6f5f56",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.746085Z",
     "iopub.status.busy": "2024-09-17T04:32:00.745790Z",
     "iopub.status.idle": "2024-09-17T04:32:00.753586Z",
     "shell.execute_reply": "2024-09-17T04:32:00.752679Z"
    },
    "papermill": {
     "duration": 0.03539,
     "end_time": "2024-09-17T04:32:00.755686",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.720296",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1987.07457647],\n",
       "       [1858.37643181],\n",
       "       [1762.93295875],\n",
       "       [1695.57285034],\n",
       "       [1678.44456149],\n",
       "       [1673.98954955],\n",
       "       [1718.44993425],\n",
       "       [1848.56281101],\n",
       "       [1955.19295204],\n",
       "       [2052.64561279],\n",
       "       [2155.0000135 ],\n",
       "       [2231.28516754],\n",
       "       [2271.79244148],\n",
       "       [2276.36558274],\n",
       "       [2240.96009688],\n",
       "       [2167.42489565],\n",
       "       [2061.70047866],\n",
       "       [1941.76456433],\n",
       "       [1834.16348411],\n",
       "       [1766.5652208 ],\n",
       "       [1694.72896117],\n",
       "       [1654.51480095],\n",
       "       [1643.01754062],\n",
       "       [1655.06274025],\n",
       "       [1710.48517572],\n",
       "       [1793.41512018],\n",
       "       [1871.66320945],\n",
       "       [1915.56346926],\n",
       "       [1953.5559937 ],\n",
       "       [1974.24623424],\n",
       "       [1973.96294814],\n",
       "       [1949.67372095],\n",
       "       [1899.31277371],\n",
       "       [1838.34663703],\n",
       "       [1779.75294724],\n",
       "       [1730.81901662]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_predictions = scaler.inverse_transform(np.array(predictions).reshape(-1,1))\n",
    "true_predictions[-36:]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e1e394d0",
   "metadata": {
    "papermill": {
     "duration": 0.024737,
     "end_time": "2024-09-17T04:32:00.805706",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.780969",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Visualizing predictions on test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "76fd1ca0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.855966Z",
     "iopub.status.busy": "2024-09-17T04:32:00.855673Z",
     "iopub.status.idle": "2024-09-17T04:32:00.862205Z",
     "shell.execute_reply": "2024-09-17T04:32:00.861371Z"
    },
    "papermill": {
     "duration": 0.033663,
     "end_time": "2024-09-17T04:32:00.864078",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.830415",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['2018-12-31T23', '2019-01-01T00', '2019-01-01T01', '2019-01-01T02',\n",
       "       '2019-01-01T03', '2019-01-01T04', '2019-01-01T05', '2019-01-01T06',\n",
       "       '2019-01-01T07', '2019-01-01T08', '2019-01-01T09', '2019-01-01T10',\n",
       "       '2019-01-01T11', '2019-01-01T12', '2019-01-01T13', '2019-01-01T14',\n",
       "       '2019-01-01T15', '2019-01-01T16', '2019-01-01T17', '2019-01-01T18',\n",
       "       '2019-01-01T19', '2019-01-01T20', '2019-01-01T21', '2019-01-01T22',\n",
       "       '2019-01-01T23', '2019-01-02T00', '2019-01-02T01', '2019-01-02T02',\n",
       "       '2019-01-02T03', '2019-01-02T04', '2019-01-02T05', '2019-01-02T06',\n",
       "       '2019-01-02T07', '2019-01-02T08', '2019-01-02T09', '2019-01-02T10'],\n",
       "      dtype='datetime64[h]')"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.arange('2018-12-31 23:00:00','2019-01-02 11:00:00',dtype='datetime64[h]')\n",
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "f7ecaac7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.916216Z",
     "iopub.status.busy": "2024-09-17T04:32:00.915935Z",
     "iopub.status.idle": "2024-09-17T04:32:00.921106Z",
     "shell.execute_reply": "2024-09-17T04:32:00.920296Z"
    },
    "papermill": {
     "duration": 0.033757,
     "end_time": "2024-09-17T04:32:00.923040",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.889283",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "36"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "0a063347",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:00.974409Z",
     "iopub.status.busy": "2024-09-17T04:32:00.974099Z",
     "iopub.status.idle": "2024-09-17T04:32:01.471389Z",
     "shell.execute_reply": "2024-09-17T04:32:01.470509Z"
    },
    "papermill": {
     "duration": 0.525665,
     "end_time": "2024-09-17T04:32:01.473630",
     "exception": false,
     "start_time": "2024-09-17T04:32:00.947965",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(14,4))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "plt.plot(df['energy'])\n",
    "plt.plot(x,true_predictions[-forecast:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "cbbd0428",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:01.526830Z",
     "iopub.status.busy": "2024-09-17T04:32:01.526516Z",
     "iopub.status.idle": "2024-09-17T04:32:01.847778Z",
     "shell.execute_reply": "2024-09-17T04:32:01.846975Z"
    },
    "papermill": {
     "duration": 0.349986,
     "end_time": "2024-09-17T04:32:01.849986",
     "exception": false,
     "start_time": "2024-09-17T04:32:01.500000",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14,4))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "plt.plot(df['energy']['2018-12-31':])\n",
    "plt.plot(x,true_predictions[-36:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "da7adab9",
   "metadata": {
    "papermill": {
     "duration": 0.026039,
     "end_time": "2024-09-17T04:32:01.902387",
     "exception": false,
     "start_time": "2024-09-17T04:32:01.876348",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Loading test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "69f10a93",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:01.957243Z",
     "iopub.status.busy": "2024-09-17T04:32:01.956940Z",
     "iopub.status.idle": "2024-09-17T04:32:02.017636Z",
     "shell.execute_reply": "2024-09-17T04:32:02.016746Z"
    },
    "papermill": {
     "duration": 0.089902,
     "end_time": "2024-09-17T04:32:02.019532",
     "exception": false,
     "start_time": "2024-09-17T04:32:01.929630",
     "status": "completed"
    },
    "tags": []
   },
   "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>row_id</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>datetime</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2019-01-01 00:00:00</th>\n",
       "      <td>94993</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-01 01:00:00</th>\n",
       "      <td>94994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-01 02:00:00</th>\n",
       "      <td>94995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-01 03:00:00</th>\n",
       "      <td>94996</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-01-01 04:00:00</th>\n",
       "      <td>94997</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     row_id\n",
       "datetime                   \n",
       "2019-01-01 00:00:00   94993\n",
       "2019-01-01 01:00:00   94994\n",
       "2019-01-01 02:00:00   94995\n",
       "2019-01-01 03:00:00   94996\n",
       "2019-01-01 04:00:00   94997"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_df = pd.read_csv(\"/kaggle/input/forecasting-green-energy/test_WudNWDM.csv\",parse_dates=True,index_col='datetime')\n",
    "test_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "3c5bf99e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:02.074467Z",
     "iopub.status.busy": "2024-09-17T04:32:02.074145Z",
     "iopub.status.idle": "2024-09-17T04:32:02.079805Z",
     "shell.execute_reply": "2024-09-17T04:32:02.078957Z"
    },
    "papermill": {
     "duration": 0.034685,
     "end_time": "2024-09-17T04:32:02.081578",
     "exception": false,
     "start_time": "2024-09-17T04:32:02.046893",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(26304, 1)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "573be0db",
   "metadata": {
    "papermill": {
     "duration": 0.026377,
     "end_time": "2024-09-17T04:32:02.134615",
     "exception": false,
     "start_time": "2024-09-17T04:32:02.108238",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Forecasting on test data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "1d4ec415",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:02.189097Z",
     "iopub.status.busy": "2024-09-17T04:32:02.188780Z",
     "iopub.status.idle": "2024-09-17T04:32:17.893990Z",
     "shell.execute_reply": "2024-09-17T04:32:17.892910Z"
    },
    "papermill": {
     "duration": 15.735058,
     "end_time": "2024-09-17T04:32:17.896225",
     "exception": false,
     "start_time": "2024-09-17T04:32:02.161167",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "forecast = 26304\n",
    "predictions = y_norm[-window_size:].tolist()\n",
    "\n",
    "for i in range(forecast):\n",
    "    seq = torch.FloatTensor(predictions[-window_size:]).cuda()  \n",
    "    \n",
    "    with torch.no_grad():\n",
    "        model.hidden = (torch.zeros(1,1,model.hidden_size,device='cuda'),\n",
    "                       torch.zeros(1,1,model.hidden_size,device='cuda'))\n",
    "        pred = model(seq)\n",
    "        predictions.append(pred.item())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "aa935297",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:17.951785Z",
     "iopub.status.busy": "2024-09-17T04:32:17.951452Z",
     "iopub.status.idle": "2024-09-17T04:32:17.958167Z",
     "shell.execute_reply": "2024-09-17T04:32:17.957295Z"
    },
    "papermill": {
     "duration": 0.036578,
     "end_time": "2024-09-17T04:32:17.960026",
     "exception": false,
     "start_time": "2024-09-17T04:32:17.923448",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "true_predictions = scaler.inverse_transform(np.array(predictions).reshape(-1,1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6e1fa65",
   "metadata": {
    "papermill": {
     "duration": 0.026845,
     "end_time": "2024-09-17T04:32:18.015360",
     "exception": false,
     "start_time": "2024-09-17T04:32:17.988515",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Visualizing the predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "1a85f93f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:18.070024Z",
     "iopub.status.busy": "2024-09-17T04:32:18.069718Z",
     "iopub.status.idle": "2024-09-17T04:32:18.075622Z",
     "shell.execute_reply": "2024-09-17T04:32:18.074808Z"
    },
    "papermill": {
     "duration": 0.035369,
     "end_time": "2024-09-17T04:32:18.077535",
     "exception": false,
     "start_time": "2024-09-17T04:32:18.042166",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26304"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.arange('2018-12-31','2021-12-31',dtype='datetime64[h]')\n",
    "len(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "fa72a109",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:18.133838Z",
     "iopub.status.busy": "2024-09-17T04:32:18.133553Z",
     "iopub.status.idle": "2024-09-17T04:32:18.630931Z",
     "shell.execute_reply": "2024-09-17T04:32:18.630029Z"
    },
    "papermill": {
     "duration": 0.528716,
     "end_time": "2024-09-17T04:32:18.633386",
     "exception": false,
     "start_time": "2024-09-17T04:32:18.104670",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "plt.plot(df['energy'])\n",
    "plt.plot(x,true_predictions[window_size:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "2243f8eb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:18.690422Z",
     "iopub.status.busy": "2024-09-17T04:32:18.690086Z",
     "iopub.status.idle": "2024-09-17T04:32:19.074179Z",
     "shell.execute_reply": "2024-09-17T04:32:19.073299Z"
    },
    "papermill": {
     "duration": 0.415042,
     "end_time": "2024-09-17T04:32:19.076277",
     "exception": false,
     "start_time": "2024-09-17T04:32:18.661235",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(10,6))\n",
    "plt.title('Green Energy Production')\n",
    "plt.ylabel('Energy Produced (in kWh)')\n",
    "plt.grid(True)\n",
    "plt.autoscale(axis='x',tight=True)\n",
    "fig.autofmt_xdate()\n",
    "plt.plot(df['energy']['2018-12-31':])\n",
    "plt.plot(x,true_predictions[window_size:])\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "c9bcdd44",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.134455Z",
     "iopub.status.busy": "2024-09-17T04:32:19.133896Z",
     "iopub.status.idle": "2024-09-17T04:32:19.140035Z",
     "shell.execute_reply": "2024-09-17T04:32:19.139057Z"
    },
    "papermill": {
     "duration": 0.037317,
     "end_time": "2024-09-17T04:32:19.142113",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.104796",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "26304"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(true_predictions[window_size:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "b104b265",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.201647Z",
     "iopub.status.busy": "2024-09-17T04:32:19.201302Z",
     "iopub.status.idle": "2024-09-17T04:32:19.207729Z",
     "shell.execute_reply": "2024-09-17T04:32:19.206804Z"
    },
    "papermill": {
     "duration": 0.038331,
     "end_time": "2024-09-17T04:32:19.209756",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.171425",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1987.07457647],\n",
       "       [1858.37643181],\n",
       "       [1762.93295875],\n",
       "       ...,\n",
       "       [1687.89487364],\n",
       "       [1688.90942703],\n",
       "       [1692.44087352]])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "true_predictions[window_size:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "28a25b28",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.272484Z",
     "iopub.status.busy": "2024-09-17T04:32:19.272175Z",
     "iopub.status.idle": "2024-09-17T04:32:19.277915Z",
     "shell.execute_reply": "2024-09-17T04:32:19.276978Z"
    },
    "papermill": {
     "duration": 0.037085,
     "end_time": "2024-09-17T04:32:19.279823",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.242738",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(26304,)"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_df.row_id.values.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "9fa7497e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.337694Z",
     "iopub.status.busy": "2024-09-17T04:32:19.337425Z",
     "iopub.status.idle": "2024-09-17T04:32:19.343215Z",
     "shell.execute_reply": "2024-09-17T04:32:19.342391Z"
    },
    "papermill": {
     "duration": 0.036858,
     "end_time": "2024-09-17T04:32:19.345067",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.308209",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(26304,)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(true_predictions[window_size:]).flatten().shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1cd64b65",
   "metadata": {
    "papermill": {
     "duration": 0.028246,
     "end_time": "2024-09-17T04:32:19.402248",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.374002",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Saving the model for future use"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "454df22b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.459863Z",
     "iopub.status.busy": "2024-09-17T04:32:19.459564Z",
     "iopub.status.idle": "2024-09-17T04:32:19.467919Z",
     "shell.execute_reply": "2024-09-17T04:32:19.467252Z"
    },
    "papermill": {
     "duration": 0.039245,
     "end_time": "2024-09-17T04:32:19.469753",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.430508",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "torch.save(model,'green_energy_forecaster.pt')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3acdd837",
   "metadata": {
    "papermill": {
     "duration": 0.02838,
     "end_time": "2024-09-17T04:32:19.526688",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.498308",
     "status": "completed"
    },
    "tags": []
   },
   "source": [
    "## Converting the final forecasts into a resultant dataframe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "f58a6b0f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.590385Z",
     "iopub.status.busy": "2024-09-17T04:32:19.590054Z",
     "iopub.status.idle": "2024-09-17T04:32:19.600064Z",
     "shell.execute_reply": "2024-09-17T04:32:19.599192Z"
    },
    "papermill": {
     "duration": 0.041916,
     "end_time": "2024-09-17T04:32:19.602019",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.560103",
     "status": "completed"
    },
    "tags": []
   },
   "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>row_id</th>\n",
       "      <th>energy</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>94993</td>\n",
       "      <td>1987.074576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>94994</td>\n",
       "      <td>1858.376432</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>94995</td>\n",
       "      <td>1762.932959</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>94996</td>\n",
       "      <td>1695.572850</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>94997</td>\n",
       "      <td>1678.444561</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   row_id       energy\n",
       "0   94993  1987.074576\n",
       "1   94994  1858.376432\n",
       "2   94995  1762.932959\n",
       "3   94996  1695.572850\n",
       "4   94997  1678.444561"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res_df = pd.DataFrame({'row_id': test_df.row_id.values, 'energy': np.array(true_predictions[window_size:]).flatten()})\n",
    "res_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "1a581f8b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2024-09-17T04:32:19.661827Z",
     "iopub.status.busy": "2024-09-17T04:32:19.661042Z",
     "iopub.status.idle": "2024-09-17T04:32:19.766148Z",
     "shell.execute_reply": "2024-09-17T04:32:19.765381Z"
    },
    "papermill": {
     "duration": 0.136851,
     "end_time": "2024-09-17T04:32:19.768358",
     "exception": false,
     "start_time": "2024-09-17T04:32:19.631507",
     "status": "completed"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "res_df.to_csv(\"final_submission_file.csv\")"
   ]
  }
 ],
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