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+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "id": "d895d690",
+ "metadata": {},
+ "source": [
+ "# Forecasting Polish Inflation Rates (March 2024 Update)\n",
+ "\n",
+ "Author: **Marcin Sikorski**
\n",
+ "Date: March, 2024\n",
+ "\n",
+ "Update of univariate time series forecasting. The forecast will be performed with deep learning.\n",
+ "\n",
+ "**Notebook Content:**\n",
+ "1. Reading Dataset\n",
+ "2. Preprocessing Data\n",
+ "3. Convolutional Neural Network (CNN)\n",
+ "4. Long Short-Term Memory (LSTM)\n",
+ "5. Out-Of Sample Predictions\n",
+ "6. Conclusion\n",
+ "\n",
+ "### 1. Reading Dataset"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 1,
+ "id": "61b262f2",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/html": [
+ "
\n",
+ "\n",
+ "
\n",
+ " \n",
+ " \n",
+ " | \n",
+ " Rate | \n",
+ "
\n",
+ " \n",
+ " Date | \n",
+ " | \n",
+ "
\n",
+ " \n",
+ " \n",
+ " \n",
+ " 2023-09-30 | \n",
+ " 7.7 | \n",
+ "
\n",
+ " \n",
+ " 2023-10-31 | \n",
+ " 6.3 | \n",
+ "
\n",
+ " \n",
+ " 2023-11-30 | \n",
+ " 6.3 | \n",
+ "
\n",
+ " \n",
+ " 2023-12-31 | \n",
+ " 6.2 | \n",
+ "
\n",
+ " \n",
+ " 2024-01-31 | \n",
+ " 3.9 | \n",
+ "
\n",
+ " \n",
+ "
\n",
+ "
"
+ ],
+ "text/plain": [
+ " Rate\n",
+ "Date \n",
+ "2023-09-30 7.7\n",
+ "2023-10-31 6.3\n",
+ "2023-11-30 6.3\n",
+ "2023-12-31 6.2\n",
+ "2024-01-31 3.9"
+ ]
+ },
+ "execution_count": 1,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "import pandas as pd\n",
+ "import numpy as np\n",
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "# import data\n",
+ "def load_data():\n",
+ " dataset = pd.read_excel('poland_inflation_ratings.xlsx')\n",
+ " \n",
+ " dataset = dataset.melt(id_vars='Year', var_name='Month', value_name='Rate') # unpivot from wide to long format\n",
+ " \n",
+ " from pandas.tseries.offsets import MonthEnd\n",
+ " \n",
+ " dataset['Date'] = pd.to_datetime(dataset[['Year', 'Month']].assign(DAY=1)) + MonthEnd(1) # assign last day of month\n",
+ " \n",
+ " dataset.sort_values(by='Date', ascending=True, inplace=True) # order ascending data values\n",
+ "\n",
+ " dataset.drop(['Year', 'Month'], axis=1, inplace=True) # drop unnecessary columns\n",
+ " \n",
+ " dataset.set_index('Date', inplace=True) # set date column as index\n",
+ "\n",
+ " dataset.dropna(subset=['Rate'], inplace=True) # drop NaN rows\n",
+ " \n",
+ " return dataset\n",
+ " \n",
+ "df = load_data()\n",
+ "df.tail()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 2,
+ "id": "620fe3e5",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(8, 3.5))\n",
+ "\n",
+ "df['Rate'].plot(label='original')\n",
+ "df['Rate'].rolling(window=12).mean().plot(label='rolling mean')\n",
+ "plt.title('Inflation Rates in Poland')\n",
+ "plt.legend()\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "54fde88d",
+ "metadata": {},
+ "source": [
+ "### 2. Preprocessing Data\n",
+ "\n",
+ "> The ADF test itself does not directly determine the optimum number of lags for a time series, it still can help in identifying the order of differencing required to make a time series stationary. This test still returns the number of lags used in correlation."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 3,
+ "id": "019d21ed",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Number of lags: 13\n"
+ ]
+ }
+ ],
+ "source": [
+ "from statsmodels.tsa.stattools import adfuller\n",
+ "\n",
+ "n_lags = adfuller(df['Rate'], autolag='AIC')[2]\n",
+ "print('Number of lags:', n_lags)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 4,
+ "id": "9d2a027c",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Data shape: (325, 1)\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.preprocessing import MinMaxScaler\n",
+ "\n",
+ "scaler = MinMaxScaler(feature_range=(0, 1))\n",
+ "\n",
+ "# reshape 1d array to 2d array - from (N,) to (N, 1)\n",
+ "dataset = np.reshape(df.values, (-1, 1))\n",
+ "\n",
+ "# normalize dataset\n",
+ "norm_df = scaler.fit_transform(dataset)\n",
+ "\n",
+ "print('Data shape:', norm_df.shape)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 5,
+ "id": "693003b9",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "X shape : (312, 13, 1)\n",
+ "y shape : (312, 1)\n"
+ ]
+ }
+ ],
+ "source": [
+ "# supervised & target subsets\n",
+ "X, y = [], []\n",
+ "\n",
+ "for i in range(n_lags, len(df)):\n",
+ " X.append(norm_df[i - n_lags:i, 0])\n",
+ " y.append(norm_df[i, 0])\n",
+ " \n",
+ "# convert lists into arrays\n",
+ "X, y = np.array(X), np.array(y)\n",
+ "\n",
+ "# reshape 2d array to 3d array (samples, time steps, features)\n",
+ "X = np.reshape(X, (X.shape[0], X.shape[1], 1))\n",
+ "y = np.reshape(y, (y.shape[0], 1))\n",
+ "\n",
+ "print('X shape :', X.shape)\n",
+ "print('y shape :', y.shape)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "35c1f752",
+ "metadata": {},
+ "source": [
+ "### 3. Convolutional Neural Network (CNN)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 6,
+ "id": "1e4ebc66",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from keras.models import Sequential\n",
+ "from keras.layers import Dense, Flatten\n",
+ "from keras.layers.convolutional import Conv1D, MaxPooling1D\n",
+ "\n",
+ "# define CNN model\n",
+ "cnn = Sequential()\n",
+ "cnn.add(Conv1D(filters=64, kernel_size=2, activation='relu', input_shape=(X.shape[1], X.shape[2])))\n",
+ "cnn.add(MaxPooling1D(pool_size=2))\n",
+ "cnn.add(Flatten())\n",
+ "cnn.add(Dense(50, activation='relu'))\n",
+ "cnn.add(Dense(1))\n",
+ "cnn.compile(optimizer='adam', loss='mean_squared_error')\n",
+ "\n",
+ "cnn_history = cnn.fit(\n",
+ " x=X,\n",
+ " y=y,\n",
+ " epochs=200,\n",
+ " batch_size=10,\n",
+ " verbose=0,\n",
+ " callbacks=None\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 7,
+ "id": "b958c4df",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot learning process\n",
+ "plt.figure(figsize=(6, 3))\n",
+ "\n",
+ "plt.plot(range(200), cnn_history.history['loss'])\n",
+ "plt.title('CNN Loss')\n",
+ "plt.xlabel('epoch')\n",
+ "plt.ylabel('MSE')\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 8,
+ "id": "3dd10850",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "10/10 [==============================] - 0s 1ms/step\n"
+ ]
+ }
+ ],
+ "source": [
+ "# make predictions and rescale back from [0, 1] to original\n",
+ "cnn_predictions = cnn.predict(X)\n",
+ "cnn_pred = scaler.inverse_transform(cnn_predictions)\n",
+ "\n",
+ "# true inflation rates\n",
+ "true = df.iloc[n_lags:]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 9,
+ "id": "ce90aa5f",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "CNN performance:\n",
+ "----------------\n",
+ "RMSE: 0.4008\n",
+ "R2: 0.9892\n",
+ "MAE: 0.3012\n",
+ "MAPE: 0.1753%\n"
+ ]
+ }
+ ],
+ "source": [
+ "from sklearn.metrics import mean_squared_error, r2_score\n",
+ "from sklearn.metrics import mean_absolute_error, mean_absolute_percentage_error\n",
+ "\n",
+ "rmse = np.sqrt(mean_squared_error(true, cnn_pred))\n",
+ "r2 = r2_score(true, cnn_pred)\n",
+ "mae = mean_absolute_error(true, cnn_pred)\n",
+ "mape = mean_absolute_percentage_error(true, cnn_pred)\n",
+ "\n",
+ "print('CNN performance:')\n",
+ "print('----------------')\n",
+ "print('RMSE: {:.4f}'.format(rmse))\n",
+ "print('R2: {:.4f}'.format(r2))\n",
+ "print('MAE: {:.4f}'.format(mae))\n",
+ "print('MAPE: {:.4f}%'.format(mape))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 10,
+ "id": "4fdcd43a",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot predictions\n",
+ "plt.figure(figsize=(8, 3.5))\n",
+ "\n",
+ "plt.plot(df['Rate'], label='true')\n",
+ "plt.plot(df.iloc[n_lags:].index, cnn_pred, label='forecast')\n",
+ "plt.title('Inflation Forecasts: CNN')\n",
+ "plt.legend()\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 11,
+ "id": "a90843b5",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1/1 [==============================] - 0s 21ms/step\n",
+ "1/1 [==============================] - 0s 25ms/step\n",
+ "1/1 [==============================] - 0s 29ms/step\n",
+ "1/1 [==============================] - 0s 20ms/step\n",
+ "1/1 [==============================] - 0s 22ms/step\n",
+ "1/1 [==============================] - 0s 25ms/step\n"
+ ]
+ }
+ ],
+ "source": [
+ "# number of time steps (months) to forecast ahead\n",
+ "forecast_period = 6\n",
+ "forecast = []\n",
+ "last_sequence = X[-1]\n",
+ "\n",
+ "# get out-of samples\n",
+ "for _ in range(forecast_period):\n",
+ " last_sequence = last_sequence.reshape((1, n_lags, 1)) # reshape last_sequence for prediction\n",
+ " \n",
+ " next_pred = cnn.predict(last_sequence) # predict the next value\n",
+ " \n",
+ " forecast.append(next_pred[0, 0]) # append the predicted value to list\n",
+ " \n",
+ " # update last_sequence with the new value\n",
+ " last_sequence = np.append(last_sequence[:, 1:, :], next_pred[0, 0]).reshape((1, n_lags, 1))\n",
+ "\n",
+ "cnn_forecast = scaler.inverse_transform(np.array(forecast).reshape(-1, 1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "685a6bc5",
+ "metadata": {},
+ "source": [
+ "### 4. Long Short-Term Memory (LSTM)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 12,
+ "id": "bb7b36a8",
+ "metadata": {
+ "scrolled": false
+ },
+ "outputs": [],
+ "source": [
+ "from keras.layers import LSTM\n",
+ "\n",
+ "# define LSTM model\n",
+ "lstm = Sequential()\n",
+ "lstm.add(LSTM(units=64, return_sequences=True, input_shape=(X.shape[1], X.shape[2])))\n",
+ "lstm.add(LSTM(units=64, return_sequences=False))\n",
+ "lstm.add(Dense(32))\n",
+ "lstm.add(Dense(1))\n",
+ "lstm.compile(optimizer='adam', loss='mean_squared_error')\n",
+ "\n",
+ "lstm_history = lstm.fit(\n",
+ " x=X,\n",
+ " y=y,\n",
+ " epochs=60,\n",
+ " batch_size=10,\n",
+ " verbose=0,\n",
+ " callbacks=None\n",
+ ")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 13,
+ "id": "e98b87a1",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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QW1vr8Jja2lqH9VtbW6HX66Uyg8EALy8vqNVqzJkzB3/+858xc+bMPrcLAJmZmfD19ZW20NDQXl1vT3GOChER0SVOn0wrk8nsPgshOpVdqf4Py729vVFcXIwvvvgCzzzzDDIyMnDgwIF+tbtixQoYDAZpq66u7va6+krKqPCpHyIiIiid1XBAQAAUCkWnLEZdXV2nbEeH4OBgh/WVSiX8/f2lMrlcjnHjxgEApkyZgrKyMmRmZmL69Ol9ahcANBoNNBpNr66xLzw17SvTMqNCRETkvIyKWq1GTEwM8vPz7crz8/ORkJDg8Jj4+PhO9ffv34/Y2FioVKou2xJCwGQy9bndoaTjHBUiIiKJ0zIqAJCRkYEHH3wQsbGxiI+PxyuvvIKqqiqkpqYCaLvdcvbsWWzbtg1A2xM+GzduREZGBh577DEUFhYiJycH27dvl86ZmZmJ2NhYREZGwmw2Iy8vD9u2bbN7wudK7TpTR0aFc1SIiIicHKikpKSgvr4ea9euRU1NDSZNmoS8vDyEhYUBAGpqauzWNgkPD0deXh7S09OxadMmhISEYMOGDZg3b55Up6mpCYsXL8aZM2fg4eGBG264AW+88QZSUlJ63K4zdWRUzK02WKw2qBROn0ZERETkNE5dR2U4G6x1VMytNlz35HsAgGOrk+Dr0fUtLSIiouFoWKyjQo6plXKoFG1PH3GeChERuTsGKi7Is2MtFRPnqRARkXtjoOKC+OQPERFRGwYqLkh68ocZFSIicnMMVFwQ3/dDRETUhoGKC7oUqDCjQkRE7o2BigvqeDEhMypEROTuGKi4IM5RISIiasNAxQXxqR8iIqI2DFRckLSOCueoEBGRm2Og4oJ0mvaMiokZFSIicm8MVFwQMypERERtGKi4ICmjwjkqRETk5hiouCC+64eIiKgNAxUXxJVpiYiI2jBQcUFcmZaIiKgNAxUXpNN0rEzLQIWIiNwbAxUX1JFRaeLjyURE5OYYqLigS+/6YUaFiIjcGwMVF+TZ/nhyk7kVQggn94aIiMh5nB6oZGVlITw8HFqtFjExMTh48GC39QsKChATEwOtVouIiAhs3rzZbv+WLVuQmJiIkSNHYuTIkZgxYwY+//xzuzpr1qyBTCaz24KDgwf82vqqI6MiBNBisTm5N0RERM7j1EBl586dSEtLw6pVq1BUVITExEQkJyejqqrKYf3KykrMnj0biYmJKCoqwsqVK7FkyRLs2rVLqnPgwAEsWLAAH3/8MQoLCzFmzBgkJSXh7NmzdueaOHEiampqpK2kpGRQr7U3PFQK6fcmPqJMRERuTCaceG8hLi4O0dHRyM7OlsomTJiAuXPnIjMzs1P9ZcuWYc+ePSgrK5PKUlNTcezYMRQWFjpsw2q1YuTIkdi4cSMWLlwIoC2j8s4776C4uLjHfTWZTDCZTNJno9GI0NBQGAwG+Pj49Pg8PXXj799Hs9mKT377Hxjj7zng5yciInIWo9EIX1/fHn2HOi2jYjabcfToUSQlJdmVJyUl4dChQw6PKSws7FR/1qxZOHLkCCwWi8NjmpubYbFY4OfnZ1deXl6OkJAQhIeHY/78+aioqOi2v5mZmfD19ZW20NDQK11iv1x63w8zKkRE5L6cFqjo9XpYrVYEBQXZlQcFBaG2ttbhMbW1tQ7rt7a2Qq/XOzxm+fLluOaaazBjxgypLC4uDtu2bcO+ffuwZcsW1NbWIiEhAfX19V32d8WKFTAYDNJWXV3d00vtE65OS0REBCid3QGZTGb3WQjRqexK9R2VA8D69euxfft2HDhwAFqtVipPTk6Wfo+KikJ8fDwiIyOxdetWZGRkOGxXo9FAo9Fc+YIGCFenJSIicmKgEhAQAIVC0Sl7UldX1ylr0iE4ONhhfaVSCX9/f7vyF154Ac8++yw++OAD3HTTTd32RafTISoqCuXl5X24ksHRsTotX0xIRETuzGm3ftRqNWJiYpCfn29Xnp+fj4SEBIfHxMfHd6q/f/9+xMbGQqVSSWXPP/88nn76abz//vuIjY29Yl9MJhPKysowevToPlzJ4OCtHyIiIic/npyRkYFXX30Vubm5KCsrQ3p6OqqqqpCamgqgbV5Ix5M6QNsTPqdPn0ZGRgbKysqQm5uLnJwcLF26VKqzfv16PPnkk8jNzcXYsWNRW1uL2tpaNDY2SnWWLl2KgoICVFZW4rPPPsO9994Lo9GIRYsWDd3FX4FOmkzLjAoREbkvp85RSUlJQX19PdauXYuamhpMmjQJeXl5CAsLAwDU1NTYrakSHh6OvLw8pKenY9OmTQgJCcGGDRswb948qU5WVhbMZjPuvfdeu7ZWr16NNWvWAADOnDmDBQsWQK/XY9SoUZg2bRoOHz4stesKOlanbeb7foiIyI05dR2V4aw3z4D3xVPv/AuvHz6NJXeOR8bM6wb8/ERERM4yLNZRoe4xo0JERMRAxWVxjgoREREDFZfFp36IiIgYqLgsaQl9rqNCRERujIGKi9K1z1G5aGFGhYiI3BcDFRfFjAoREREDFZel4xwVIiIiBiquypPv+iEiImKg4qqYUSEiImKg4rKkjArXUSEiIjfGQMVFdWRUzK02WKw2J/eGiIjIORiouKiOp34AoJlZFSIiclMMVFyUWimHSiEDwHkqRETkvhiouLCOrAozKkRE5K4YqLgw6X0/fESZiIjcFAMVF9YRqDTx1g8REbkpBiouTKfpuPXDQIWIiNwTAxUXJmVUeOuHiIjcFAMVF6ZTM6NCRETuzemBSlZWFsLDw6HVahETE4ODBw92W7+goAAxMTHQarWIiIjA5s2b7fZv2bIFiYmJGDlyJEaOHIkZM2bg888/73e7zsD3/RARkbtzaqCyc+dOpKWlYdWqVSgqKkJiYiKSk5NRVVXlsH5lZSVmz56NxMREFBUVYeXKlViyZAl27dol1Tlw4AAWLFiAjz/+GIWFhRgzZgySkpJw9uzZPrfrLHzfDxERuTuZEEI4q/G4uDhER0cjOztbKpswYQLmzp2LzMzMTvWXLVuGPXv2oKysTCpLTU3FsWPHUFhY6LANq9WKkSNHYuPGjVi4cGGf2nXEaDTC19cXBoMBPj4+PTqmt9a+W4rcTyvx+PRILLvrhkFpg4iIaKj15jvUaRkVs9mMo0ePIikpya48KSkJhw4dcnhMYWFhp/qzZs3CkSNHYLFYHB7T3NwMi8UCPz+/PrcLACaTCUaj0W4bbDpNxzoqzKgQEZF7clqgotfrYbVaERQUZFceFBSE2tpah8fU1tY6rN/a2gq9Xu/wmOXLl+Oaa67BjBkz+twuAGRmZsLX11faQkNDr3iN/cWVaYmIyN05fTKtTCaz+yyE6FR2pfqOygFg/fr12L59O3bv3g2tVtuvdlesWAGDwSBt1dXVXdYdKNLKtAxUiIjITSmvXGVwBAQEQKFQdMpi1NXVdcp2dAgODnZYX6lUwt/f3678hRdewLPPPosPPvgAN910U7/aBQCNRgONRtOjaxsoXJmWiIjcXa8yKuvXr8fFixelz5988glMJpP0uaGhAYsXL+7RudRqNWJiYpCfn29Xnp+fj4SEBIfHxMfHd6q/f/9+xMbGQqVSSWXPP/88nn76abz//vuIjY3td7vOIq1My8eTiYjIXYlekMvl4ttvv5U+e3t7i2+++Ub6XFtbK+RyeY/Pt2PHDqFSqUROTo4oLS0VaWlpQqfTiVOnTgkhhFi+fLl48MEHpfoVFRXC09NTpKeni9LSUpGTkyNUKpV4++23pTrPPfecUKvV4u233xY1NTXS1tDQ0ON2e8JgMAgAwmAw9PiY3vr439+KsGX/ELP/9MmgtUFERDTUevMd2qtbP+IHTzL/8HNvpaSkoL6+HmvXrkVNTQ0mTZqEvLw8hIWFAQBqamrs1jYJDw9HXl4e0tPTsWnTJoSEhGDDhg2YN2+eVCcrKwtmsxn33nuvXVurV6/GmjVretSuq7j0rh9mVIiIyD31ah0VuVyO2tpaBAYGAgC8vb1x7NgxREREAAC+/fZbhISEwGq9+r9Yh2IdlRPnDJiz4Z8I9Nbg81UzBqUNIiKioTYs1lGhK9Px8WQiInJzvX7q59VXX4WXlxcAoLW1Fa+99hoCAgIAtE2mpYHjqbn01I+4wuPTREREV6NeBSpjxozBli1bpM/BwcF4/fXXO9WhgdGRURECaLHY4NH+uDIREZG76FWgcurUqUHqBjnioboUmDSbWxmoEBGR2+EcFRcml8ukYIXzVIiIyB31KlD57LPP8N5779mVbdu2DeHh4QgMDMQvfvELuwXgqP90Gq5OS0RE7qtXgcqaNWtw/Phx6XNJSQkeffRRzJgxA8uXL8e7776LzMzMAe+kO+t4MWETV6clIiI31KtApbi4GHfeeaf0eceOHYiLi8OWLVuQkZGBDRs24M033xzwTrqzSy8mZEaFiIjcT68ClQsXLti9uK+goAB33XWX9Pnmm28ekrcKu5OO1WmZUSEiInfUq0AlKCgIlZWVAACz2Ywvv/wS8fHx0v6Ghga7lwNS/zGjQkRE7qxXgcpdd92F5cuX4+DBg1ixYgU8PT2RmJgo7T9+/DgiIyMHvJPurGMtlSY+9UNERG6oV+uo/OEPf8A999yD22+/HV5eXnjttdegVqul/bm5uUhKShrwTrqzjtVpm03MqBARkfvpVaAyatQoHDx4EAaDAV5eXlAo7Bcge+utt+Dt7T2gHXR3zKgQEZE761Wg8sgjj/SoXm5ubp86Q511ZFQuco4KERG5oV4FKq+99hrCwsIwdepUCCEGq090GU8VMypEROS+ehWopKamYseOHaioqMAjjzyCBx54AH5+foPVN8KllWk5R4WIiNxRr576ycrKQk1NDZYtW4Z3330XoaGhuP/++7Fv3z5mWAaJJ+eoEBGRG+v1Swk1Gg0WLFiA/Px8lJaWYuLEiVi8eDHCwsLQ2Ng4GH10a1JGhXNUiIjIDfXr7ckymQwymQxCCNhstoHqE12G7/ohIiJ31utAxWQyYfv27Zg5cyauv/56lJSUYOPGjaiqqoKXl9dg9NGt6bgyLRERubFeBSqLFy/G6NGj8dxzz+HHP/4xzpw5g7feeguzZ8+GXN635ExWVhbCw8Oh1WoRExODgwcPdlu/oKAAMTEx0Gq1iIiIwObNm+32nzhxAvPmzcPYsWMhk8nw8ssvdzrHmjVrpGxQxxYcHNyn/g82T77rh4iI3FivnvrZvHkzxowZg/DwcBQUFKCgoMBhvd27d/fofDt37kRaWhqysrJwyy234H//93+RnJyM0tJSjBkzplP9yspKzJ49G4899hjeeOMNfPrpp1i8eDFGjRqFefPmAQCam5sRERGB++67D+np6V22PXHiRHzwwQfS5x8uXucqmFEhIiJ31qtAZeHChZDJZAPW+EsvvYRHH30U//Vf/wUAePnll7Fv3z5kZ2cjMzOzU/2OQKkjSzJhwgQcOXIEL7zwghSo3Hzzzbj55psBAMuXL++ybaVS6bJZlMtJGRU+9UNERG6o1wu+DRSz2YyjR492CiaSkpJw6NAhh8cUFhZ2epfQrFmzkJOTA4vF0qs3N5eXlyMkJAQajQZxcXF49tlnERER0WV9k8kEk8kkfTYajT1uqz86MirmVhtarTYoFf2a/0xERDSsOO1bT6/Xw2q1IigoyK48KCgItbW1Do+pra11WL+1tRV6vb7HbcfFxWHbtm3Yt28ftmzZgtraWiQkJKC+vr7LYzIzM+Hr6yttoaGhPW6vPzzUl25JNVuYVSEiIvfi9H+e//BWkhCi29tLjuo7Ku9OcnIy5s2bh6ioKMyYMQN79+4FAGzdurXLY1asWAGDwSBt1dXVPW6vP9QKOZTytmtr5oRaIiJyM7269TOQAgICoFAoOmVP6urqOmVNOgQHBzusr1Qq4e/v3+e+6HQ6REVFoby8vMs6Go0GGo2mz230lUwmg6daAWNLK5o4oZaIiNyM0zIqarUaMTExyM/PtyvPz89HQkKCw2Pi4+M71d+/fz9iY2N7NT/lh0wmE8rKyjB69Og+n2Mw6don1DKjQkRE7sapt34yMjLw6quvIjc3F2VlZUhPT0dVVRVSU1MBtN1uWbhwoVQ/NTUVp0+fRkZGBsrKypCbm4ucnBwsXbpUqmM2m1FcXIzi4mKYzWacPXsWxcXF+Prrr6U6S5cuRUFBASorK/HZZ5/h3nvvhdFoxKJFi4bu4nvBs32eCjMqRETkbpx26wcAUlJSUF9fj7Vr16KmpgaTJk1CXl4ewsLCAAA1NTWoqqqS6oeHhyMvLw/p6enYtGkTQkJCsGHDBunRZAA4d+4cpk6dKn1+4YUX8MILL+D222/HgQMHAABnzpzBggULoNfrMWrUKEybNg2HDx+W2nU1UkaFgQoREbkZmeBrj/vEaDTC19cXBoMBPj4+g9rW/FcKcbjiO/x5wVTcPTlkUNsiIiIabL35DnX6Uz90ZTo1MypEROSeGKgMA3zfDxERuSsGKsNAx+q0F7ngGxERuRkGKsNAx+q0TSbe+iEiIvfCQGUYuDRHhRkVIiJyLwxUhgFPDTMqRETknhioDAPMqBARkbtioDIMcGVaIiJyVwxUhgG+64eIiNwVA5VhgBkVIiJyVwxUhoFL7/phRoWIiNwLA5VhoCOjwiX0iYjI3TBQGQakp344R4WIiNwMA5VhQFpHxdwKvuyaiIjcCQOVYcCzPaNiE4Cp1ebk3hAREQ0dBirDgIdKIf3O1WmJiMidMFAZBhRymRSs8MkfIiJyJwxUhgmdhmupEBGR+2GgMkx0zFNp4pM/RETkRhioDBNcS4WIiNyR0wOVrKwshIeHQ6vVIiYmBgcPHuy2fkFBAWJiYqDVahEREYHNmzfb7T9x4gTmzZuHsWPHQiaT4eWXXx6Qdp2tY3VaZlSIiMidODVQ2blzJ9LS0rBq1SoUFRUhMTERycnJqKqqcli/srISs2fPRmJiIoqKirBy5UosWbIEu3btkuo0NzcjIiIC69atQ3Bw8IC06wo6MioXLcyoEBGR+5AJJ64gFhcXh+joaGRnZ0tlEyZMwNy5c5GZmdmp/rJly7Bnzx6UlZVJZampqTh27BgKCws71R87dizS0tKQlpbWr3YBwGQywWQySZ+NRiNCQ0NhMBjg4+PT42vuq9TXj+L9E7X4w9xJeGBa2KC3R0RENFiMRiN8fX179B3qtIyK2WzG0aNHkZSUZFeelJSEQ4cOOTymsLCwU/1Zs2bhyJEjsFgsg9YuAGRmZsLX11faQkNDe9TeQOlYnZZzVIiIyJ04LVDR6/WwWq0ICgqyKw8KCkJtba3DY2prax3Wb21thV6vH7R2AWDFihUwGAzSVl1d3aP2Bsoobw0AYO/xGrRauTotERG5B6dPppXJZHafhRCdyq5U31H5QLer0Wjg4+Njtw2lhxLGwlurxLEzBvzvJxVD2jYREZGzOC1QCQgIgEKh6JTFqKur65Tt6BAcHOywvlKphL+//6C16wpG+3pgzd0TAQAvf/AVymqMTu4RERHR4HNaoKJWqxETE4P8/Hy78vz8fCQkJDg8Jj4+vlP9/fv3IzY2FiqVatDadRX3RF+DGROCYLEK/ObNYzDzBYVERHSVc+qtn4yMDLz66qvIzc1FWVkZ0tPTUVVVhdTUVABt80IWLlwo1U9NTcXp06eRkZGBsrIy5ObmIicnB0uXLpXqmM1mFBcXo7i4GGazGWfPnkVxcTG+/vrrHrfrqmQyGZ69ZxJGeKpQWmPExo/Knd0lIiKiwSWcbNOmTSIsLEyo1WoRHR0tCgoKpH2LFi0St99+u139AwcOiKlTpwq1Wi3Gjh0rsrOz7fZXVlYKAJ22H56nu3Z7wmAwCADCYDD06riB8O6xsyJs2T9ExIq94lj1hSFvn4iIqD968x3q1HVUhrPePAM+GH75f19i7/EajA/0wru/vhXa9rcrExERubphsY4K9c/TP52EAC81yusa8ccPvnJ2d4iIiAYFA5Vhyk+nxrM/iwIAbPmkAkdPX3Byj4iIiAYeA5VhLGliMO6JvgY2ASx96xgumvnCQiIiurowUBnmVt89EcE+WlTqm/BMXqmzu0NERDSgGKgMc74eKqy/9yYAwBuHq/D34rNO7hEREdHAYaByFbjtulH41X+MAwCs2F2C8m8bnNwjIiKigcFA5SqRPvM6JET6o9lsxeN//RJNJr5lmYiIhj8GKlcJhVyGDQumIshHg6/rGrFidwm4RA4REQ13DFSuIgFeGmz6eTQUchn2HDuHNw6fdnaXiIiI+oWBylUmdqwfViTfAABY+49SFFd/79wOERER9QMDlavQo7eG466JwbBYBX751y9xocns7C4RERH1CQOVq5BMJsP6+27CWH9PnP3+ItLfLIbNxvkqREQ0/DBQuUr5aFXIfiAGGqUcB06eR3bBN87uEhERUa8xULmKTRjtgz/MnQQAePmDr/B1XaOTe0RERNQ7DFSucvfGXIs7bgiExSrw+7//i48sExHRsMJA5Sonk8nwPz+ZCI1SjkPf1GPPsXPO7hIREVGPMVBxA6F+nvj1HW1L7D/9jzIYWyxO7hEREVHPMFBxE4/dFoGIUTroG014cd9JZ3eHiIioRxiouAmNUoE//LRtYu3rh0+j5IzByT0iIiK6MqcHKllZWQgPD4dWq0VMTAwOHjzYbf2CggLExMRAq9UiIiICmzdv7lRn165duPHGG6HRaHDjjTfib3/7m93+NWvWQCaT2W3BwcEDel2uKGFcAH46JQQ2ATz5TgmsXFuFiIhcnFMDlZ07dyItLQ2rVq1CUVEREhMTkZycjKqqKof1KysrMXv2bCQmJqKoqAgrV67EkiVLsGvXLqlOYWEhUlJS8OCDD+LYsWN48MEHcf/99+Ozzz6zO9fEiRNRU1MjbSUlJYN6ra5i1ZwJ8NYoceyMAf/3ueNxJiIichUy4cTnVePi4hAdHY3s7GypbMKECZg7dy4yMzM71V+2bBn27NmDsrIyqSw1NRXHjh1DYWEhACAlJQVGoxHvvfeeVOeuu+7CyJEjsX37dgBtGZV33nkHxcXFfe670WiEr68vDAYDfHx8+nweZ9h66BRW7zkBb60SH/1mOkZ5a5zdJSIiciO9+Q51WkbFbDbj6NGjSEpKsitPSkrCoUOHHB5TWFjYqf6sWbNw5MgRWCyWbuv88Jzl5eUICQlBeHg45s+fj4qKim77azKZYDQa7bbh6oFpYZh0jQ8aWlqRmVd25QOIiIicxGmBil6vh9VqRVBQkF15UFAQamtrHR5TW1vrsH5rayv0en23dS4/Z1xcHLZt24Z9+/Zhy5YtqK2tRUJCAurr67vsb2ZmJnx9faUtNDS0V9frShRyGZ6ZGwWZDNhddBaF33R93URERM7k9Mm0MpnM7rMQolPZler/sPxK50xOTsa8efMQFRWFGTNmYO/evQCArVu3dtnuihUrYDAYpK26uvoKV+baJoeOwH/GjQEALH3rGD6rYLBCRESux2mBSkBAABQKRafsSV1dXaeMSIfg4GCH9ZVKJfz9/but09U5AUCn0yEqKgrl5eVd1tFoNPDx8bHbhrvfJt2Aa0d64Oz3F5HyymGs/FsJF4MjIiKX4rRARa1WIyYmBvn5+Xbl+fn5SEhIcHhMfHx8p/r79+9HbGwsVCpVt3W6OifQNv+krKwMo0eP7sulDFu+nirsXZKIBT9qu431f59VYeZLBdh3wvGtNyIioqHm1Fs/GRkZePXVV5Gbm4uysjKkp6ejqqoKqampANputyxcuFCqn5qaitOnTyMjIwNlZWXIzc1FTk4Oli5dKtV54oknsH//fjz33HP497//jeeeew4ffPAB0tLSpDpLly5FQUEBKisr8dlnn+Hee++F0WjEokWLhuzaXYWvhwqZ99yE7Y9NQ3iADt8aTfjv149i8V+Poq6hxeExNpvA+QYTDBeZfSEiosGldGbjKSkpqK+vx9q1a1FTU4NJkyYhLy8PYWFhAICamhq7NVXCw8ORl5eH9PR0bNq0CSEhIdiwYQPmzZsn1UlISMCOHTvw5JNP4qmnnkJkZCR27tyJuLg4qc6ZM2ewYMEC6PV6jBo1CtOmTcPhw4eldt1RfKQ/3nsiERs+LMf/flKBvJJa/LNcjwVxY9BkasW3RhPqGkyoM7bgfIMJrTYBtUKOzHuiMC/mWmd3n4iIrlJOXUdlOBvO66hcyYlzBizfVYKSs1deZl8uA16ePxU/mRwyBD0jIqKrQW++Q52aUSHXNDHEF39bnIDtX1TjxFkDRnlrEOijRZC3BkE+WgT5aOGnU2P1nn9h++fVSN9ZDJVchuQo95rjQ0REg4+BCjmkVMjx4LTub4U9MzcK5laBXV+ewa+3F2GzQo4ZN3b9dBUREVFvOX0dFRq+5HIZ1t97E34yOQStNoHFf/0SBV+dd3a3iIjoKsJAhfpFIZfhpfsnI3lSMMxWG36x7QgOfa13dreIiOgqwUCF+k2pkONP86dixoRAmFpteHTrEXxe+Z2zu3VFrVYb/u+zKvzX1iNcmZeIyEXxqZ8+upqf+ukrU6sVv9h2FAVfnYdOrcCMG4MQHqBDxCgvRAToEDFKB0+1a0yL+uSr83hmbxlOftsAoO3ppYyZ12Hx9HGQy7t+hQMREfVfb75DGaj0EQMVx1osVjzy2hc41MWLDkf7ahE5yguJ4wPwkykhGO3rMaT9K/+2Ac/kleHAyba5NL4eKkwdM0L6nDg+AH9MmYIAL82Q9ouIyJ0wUBkCDFS6ZrHaUHDyPMrrGlFxvhGV+iZU6JvwXZPZrp5MBsSF++GnU67B7Emj4eupGrQ+1Tea8McPvsL2z6thtQmoFDIsjB+LX98xDiM81XjrSDWe+vu/0GKxIdBbgw0LpmJahP+g9YeIyJ0xUBkCDFR67/tmM74534QT5wz4x7EafH7q0jwWtUKO6dePwk+nXIPxQV52x11+I8ZPp4Z/D7MddQ0t+LzyO3xW8R3eKTqLBlMrAGDWxCAsT56A8ACdXf2vvm3A4r9+ia/rGnkriIhoEDFQGQIMVPrvzIVmvHusBn8vPot/1zb0+Dg/nRrjAr0wvmML8sb4QC+02gQ+q6zHZxXf4fPK71Chb7I7btI1Pnhyzo3dZkqaza148p1/YfeXZwG03Qp6Zm4Uxvh79u0iiYioEwYqQ4CBysD6d60Rfy8+h33/qpVedtjxF7Pjr6hNoFcvQpTJgBuCfRAX7odbxgXgzhsCe5wdufxWENAWsMy/eQxm3hgEtZIPyxER9QcDlSHAQMU5ms2tqDjfhPK6BpR/24jyukZ8XdeI0/VNkMlkmBTig7gIf/xorB9uHuvXr3kvJ2sb8Ie9pThYfmldGH+dGvNirsX8m0MRMcqrm6OJiKgrDFSGAAMV19JisUIIwEOtGPBzV3/XjJ1fVOPNI9WoazBJ5T8K98PU0BHQqhTwUCvgoWrbtGoFPFUKjPLWIDLQC14a13gkm4jIVTBQGQIMVNxPq9WGj0+ex47Pq/DxyTrYevhfzmhfLcYFeiFylBfGBbZto321kMtkUMhlkMtkkMvR9lMmg1Ihg6dKAaXCfW4xGZotqKxvQqW+EWe+u4hr/TxwS2QAAn20/T63udWGo6cvQN9ows1j/RDs2/9zElH/MFAZAgxU3FuN4SL+cawG5xtNaDa34qLZhhaLFRctVlw0W9FsseLshYvQN5qufLIuqJVy6NQKeKqV8FQr4KlWQKtSQKmQSUGNFOjI2gIds7WtH6bWtp8dv5tabfDWKBHgrcEobw1GebX/bN+sVoHzjSbUGU0439iC8w0m1DWYcL7BhBaLFSqFHGqlHOr2nx2fvTRKXDPCA9eO9ECon2fbz5GeGOGpgkzWNh/I1GpFfaMZ59vPp2804VujCafrm1BZ34RT+iZcaHY892h8oBduGReAW8cFIC7CD97aK9/KE0Lgm/ON+OQrPf75tR6HK+rRbLZK+8cFeuHWcQG47boAxIX7QzfMMl42m+CTaA58a2zBwXI95DLgzglB8PUYvOUOqP8YqAwBBirUE4ZmC74+34Cv2+fSfF3XiK/PN6K+0QybELCJti+ejt+vFjp1262vC82WHk+ADvTWYGyADteO9ED5t4341zkDLv+/k0Iuw+RrfRE5yguq9qBJpZBJgZNKIccpfRP++bUeNYYWu3MHeGkQ7KtB6Tmj3TirFDJMHTMSPxrrB6VChlargMVmQ6tVoNVqg8XW9rPFYkOz2WoXjHb8rlUp4OOhgq+0KaXfdRolNEoFNEp526Zq+12rUkCrkkOnVkKnaQtENUq5FNwBwHdNZpR/2yDNw+qYl6VvNCE8QIeJIb6YGOIj/RypU/frz2y4sVjbMmUHTp5HwVfnUVZjlPZdvtzBnRMCoVUN/C1h6h8GKkOAgQoNNCEEhAAsNhsumq1oMlvRbGpFs9mKJnNrW6bGbG0PagSstktBjrU90NEo5NCo5NAo274IO36qlXI0tLTaZUrON5hwvrHtp1IuQ2B7diVQyrRoMcpbA51GAUurgNnalp0xt28Wq4CxxYIzF5px5sJFnLlwEdXfNdvN4+mgUsgQ0J7FCfBqy+iM8ffEWH8dxga0/fxhZuNCkxmFFfX49Gs9Pv1aj1P1zT0eS7VSjrhwPySOD0Di+FG4IdgbMpkMhmYLDn2jx8Gv9ThYfh7V313s95/bQFHIZfBUK6BTK2G22jotkHglo321uCHYG0qFHBarDRZr+5+VVcDSapPKLFYBi9WGVlt7ua2tzEujRMgID1wzQovRvh4IGeGBkBFaXDPCA95aFVo7AjjpZ9t5rvQNopDLoJS3Zf+UChkUcrn02aN9fpdW1ZYxVP3gdmeLxYr6JjMuNJnxXfumbzThi1Pf4dOv69HYvjYS0PaU303X+KLFYpNejQEAXholZk0Mxk+nhCAh0t+tbqm6MgYqQ4CBCpFjLRYrzn1/EfpGM/x0KgR4aeDrobLLFvTFmQvNOPRNPfSNJlhaxaUv444v4FaBEZ4q3DIuAD8K9+vRv6JP1zfhYLkeJ84ZIJPJoJLLoFTIoVTIoJK3ZWmUiktfqB6qS1+qHu1ZkBaLDYaLFnzfbIbhogXGi21ZJMNFC5rNHbfe2n9aLv1+sT0A7XgE3pFrR3pIawWNC/TCdUHeCPBSo7yuEaXnjDhxzoDSc8ZeBXGuTNkevGhUCjSZWnHRYu22vr9OjduuG4XbrxuFxPEB0mKQHcsd7Ck+h7PfXwpGtSo5Rnio4eOhhLdWBW+tEj7tP700Sgi0Bf/W9n80dPyjAAC8tSqM8FBhpKcaIzxVGKlTY6SnCj4eKjS2tNr9A6Dusn8IKGTACE/1ZRk3FUZ4tm1qhUL6e9wR+Fnas3kCsLvlqlG2/96endOqLv199FAroFXKpSDM1GrFd01m1DeaUd9kRn2jCfWNZnzXbIaXRin9gySw/R8j/jr1kN9OZKAyBBioENFAsNoEms2taDK1BS7NJitkMvTqJZ4NLRaU1bTdYpTJ0H4rTNZ+e0wOlVIOlbztNpnysn0dv6sUchguWnD2+4s4177VfN/S9tlwEc0mK5QKGZRyefvPS7/LZTJ0FYN2ZP6strYvYqtNoNXa/tPWcUuttdvbniqFDH46NUZ6quHvpcYITzWuD/LG9OtHYVKIb7dfsDabwJdVF/D34nPYW1LT6yzVcKNuD6wvn5PVEwq5DP46NTzVCsja/zxlAGTt899kaCt7+/GEAXuKkYHKEGCgQkTUf0KItkngZhsuWqxobs8yeWmUGKlTwUuj7Hc2Dmh7au/MhYtoaGlFQ4sFxhYLjC2taGhphfGiBc3m1vag69LkdLms7ctaAFKm7EKzuW3uVftPY4sFOrUSgd4aabJ6x+3TAC8N0L5Q5fcXzfi++VK27ftmCyxWm5S1U3UEgQo51Iq26zVbBcyt1vZbeLb2W7A2mCxWtLRn5brKOnUEH/5eGgR4qeGvawvyGk2XZ39aUN9kvuLtuw4la5J6NKG9J3rzHer06e5ZWVl4/vnnUVNTg4kTJ+Lll19GYmJil/ULCgqQkZGBEydOICQkBL/73e+QmppqV2fXrl146qmn8M033yAyMhLPPPMMfvazn/WrXSIiGngymax9wrECvhi8J3WUCjnG/uD9XgNBCDEggVR/2jddFrSYW20Y4amCj1bVo9s5rVYb6pvMqDOaYGq1QgDSbS8hAIH2nwLwcNakZOFEO3bsECqVSmzZskWUlpaKJ554Quh0OnH69GmH9SsqKoSnp6d44oknRGlpqdiyZYtQqVTi7bffluocOnRIKBQK8eyzz4qysjLx7LPPCqVSKQ4fPtzndh0xGAwCgDAYDH0fACIiIjfUm+9Qp976iYuLQ3R0NLKzs6WyCRMmYO7cucjMzOxUf9myZdizZw/KysqkstTUVBw7dgyFhYUAgJSUFBiNRrz33ntSnbvuugsjR47E9u3b+9SuI7z1Q0RE1De9+Q512nNaZrMZR48eRVJSkl15UlISDh065PCYwsLCTvVnzZqFI0eOwGKxdFun45x9aRcATCYTjEaj3UZERESDy2mBil6vh9VqRVBQkF15UFAQamtrHR5TW1vrsH5rayv0en23dTrO2Zd2ASAzMxO+vr7SFhoa2rMLJSIioj5z+so3P5yEJK4wMclR/R+W9+ScvW13xYoVMBgM0lZdXd1lXSIiIhoYTnvqJyAgAAqFolMWo66urlO2o0NwcLDD+kqlEv7+/t3W6ThnX9oFAI1GA41G07OLIyIiogHhtIyKWq1GTEwM8vPz7crz8/ORkJDg8Jj4+PhO9ffv34/Y2FioVKpu63Scsy/tEhERkZMM6vNHV9DxmHBOTo4oLS0VaWlpQqfTiVOnTgkhhFi+fLl48MEHpfodjyenp6eL0tJSkZOT0+nx5E8//VQoFAqxbt06UVZWJtatW9fl48ldtdsTfDyZiIiob3rzHerUBd9SUlJQX1+PtWvXoqamBpMmTUJeXh7CwsIAADU1NaiqqpLqh4eHIy8vD+np6di0aRNCQkKwYcMGzJs3T6qTkJCAHTt24Mknn8RTTz2FyMhI7Ny5E3FxcT1utydE+9wYPv1DRETUOx3fnaIHK6RwCf0+OnPmDJ/8ISIi6ofq6mpce+213dZhoNJHNpsN586dg7e394Atn2w0GhEaGorq6mouIucAx6d7HJ+ucWy6x/HpHsena30dGyEEGhoaEBISArm8++myTn/Xz3All8uvGAX2lY+PD/9j6AbHp3scn65xbLrH8ekex6drfRkbX1/fHtVz+joqRERERF1hoEJEREQui4GKC9FoNFi9ejUXlusCx6d7HJ+ucWy6x/HpHsena0MxNpxMS0RERC6LGRUiIiJyWQxUiIiIyGUxUCEiIiKXxUCFiIiIXBYDFReSlZWF8PBwaLVaxMTE4ODBg87uklN88sknuPvuuxESEgKZTIZ33nnHbr8QAmvWrEFISAg8PDwwffp0nDhxwjmdHWKZmZm4+eab4e3tjcDAQMydOxcnT560q+Ou45OdnY2bbrpJWngqPj4e7733nrTfXcelK5mZmZDJZEhLS5PK3HmM1qxZA5lMZrcFBwdL+915bADg7NmzeOCBB+Dv7w9PT09MmTIFR48elfYP5vgwUHERO3fuRFpaGlatWoWioiIkJiYiOTnZ7qWM7qKpqQmTJ0/Gxo0bHe5fv349XnrpJWzcuBFffPEFgoODMXPmTDQ0NAxxT4deQUEBfvnLX+Lw4cPIz89Ha2srkpKS0NTUJNVx1/G59tprsW7dOhw5cgRHjhzBHXfcgZ/+9KfS/yzddVwc+eKLL/DKK6/gpptusit39zGaOHEiampqpK2kpETa585jc+HCBdxyyy1QqVR47733UFpaihdffBEjRoyQ6gzq+AzG65up9370ox+J1NRUu7IbbrhBLF++3Ek9cg0AxN/+9jfps81mE8HBwWLdunVSWUtLi/D19RWbN292Qg+dq66uTgAQBQUFQgiOzw+NHDlSvPrqqxyXyzQ0NIjx48eL/Px8cfvtt4snnnhCCMG/O6tXrxaTJ092uM/dx2bZsmXi1ltv7XL/YI8PMyouwGw24+jRo0hKSrIrT0pKwqFDh5zUK9dUWVmJ2tpau7HSaDS4/fbb3XKsDAYDAMDPzw8Ax6eD1WrFjh070NTUhPj4eI7LZX75y19izpw5mDFjhl05xwgoLy9HSEgIwsPDMX/+fFRUVADg2OzZswexsbG47777EBgYiKlTp2LLli3S/sEeHwYqLkCv18NqtSIoKMiuPCgoCLW1tU7qlWvqGA+OVds94YyMDNx6662YNGkSAI5PSUkJvLy8oNFokJqair/97W+48cYb3X5cOuzYsQNffvklMjMzO+1z9zGKi4vDtm3bsG/fPmzZsgW1tbVISEhAfX29249NRUUFsrOzMX78eOzbtw+pqalYsmQJtm3bBmDw/+7w7ckuRCaT2X0WQnQqozYcK+BXv/oVjh8/jn/+85+d9rnr+Fx//fUoLi7G999/j127dmHRokUoKCiQ9rvruABAdXU1nnjiCezfvx9arbbLeu46RsnJydLvUVFRiI+PR2RkJLZu3Ypp06YBcN+xsdlsiI2NxbPPPgsAmDp1Kk6cOIHs7GwsXLhQqjdY48OMigsICAiAQqHoFHnW1dV1ilDdXccsfHcfq1//+tfYs2cPPv74Y1x77bVSubuPj1qtxrhx4xAbG4vMzExMnjwZf/rTn9x+XADg6NGjqKurQ0xMDJRKJZRKJQoKCrBhwwYolUppHNx5jC6n0+kQFRWF8vJyt//7M3r0aNx44412ZRMmTJAe9hjs8WGg4gLUajViYmKQn59vV56fn4+EhAQn9co1hYeHIzg42G6szGYzCgoK3GKshBD41a9+hd27d+Ojjz5CeHi43X53H58fEkLAZDJxXADceeedKCkpQXFxsbTFxsbiP//zP1FcXIyIiAi3H6PLmUwmlJWVYfTo0W7/9+eWW27ptAzCV199hbCwMABD8P+dfk/HpQGxY8cOoVKpRE5OjigtLRVpaWlCp9OJU6dOObtrQ66hoUEUFRWJoqIiAUC89NJLoqioSJw+fVoIIcS6deuEr6+v2L17tygpKRELFiwQo0ePFkaj0ck9H3yPP/648PX1FQcOHBA1NTXS1tzcLNVx1/FZsWKF+OSTT0RlZaU4fvy4WLlypZDL5WL//v1CCPcdl+5c/tSPEO49Rr/5zW/EgQMHREVFhTh8+LD48Y9/LLy9vaX/B7vz2Hz++edCqVSKZ555RpSXl4u//vWvwtPTU7zxxhtSncEcHwYqLmTTpk0iLCxMqNVqER0dLT1y6m4+/vhjAaDTtmjRIiFE26Nwq1evFsHBwUKj0YjbbrtNlJSUOLfTQ8TRuAAQf/nLX6Q67jo+jzzyiPTfz6hRo8Sdd94pBSlCuO+4dOeHgYo7j1FKSooYPXq0UKlUIiQkRNxzzz3ixIkT0n53HhshhHj33XfFpEmThEajETfccIN45ZVX7PYP5vjIhBCi/3kZIiIiooHHOSpERETkshioEBERkctioEJEREQui4EKERERuSwGKkREROSyGKgQERGRy2KgQkRERC6LgQoRERG5LAYqRETtDhw4AJlMhu+//97ZXSGidgxUiIiIyGUxUCEiIiKXxUCFiFyGEALr169HREQEPDw8MHnyZLz99tsALt2W2bt3LyZPngytVou4uDiUlJTYnWPXrl2YOHEiNBoNxo4dixdffNFuv8lkwu9+9zuEhoZCo9Fg/PjxyMnJsatz9OhRxMbGwtPTEwkJCZ1ecU9EQ4eBChG5jCeffBJ/+ctfkJ2djRMnTiA9PR0PPPAACgoKpDq//e1v8cILL+CLL75AYGAgfvKTn8BisQBoCzDuv/9+zJ8/HyUlJVizZg2eeuopvPbaa9LxCxcuxI4dO7BhwwaUlZVh8+bN8PLysuvHqlWr8OKLL+LIkSNQKpV45JFHhuT6iciBAXkHMxFRPzU2NgqtVisOHTpkV/7oo4+KBQsWiI8//lgAEDt27JD21dfXCw8PD7Fz504hhBA///nPxcyZM+2O/+1vfytuvPFGIYQQJ0+eFABEfn6+wz50tPHBBx9IZXv37hUAxMWLFwfkOomod5hRISKXUFpaipaWFsycORNeXl7Stm3bNnzzzTdSvfj4eOl3Pz8/XH/99SgrKwMAlJWV4ZZbbrE77y233ILy8nJYrVYUFxdDoVDg9ttv77YvN910k/T76NGjAQB1dXX9vkYi6j2lsztARAQANpsNALB3715cc801dvs0Go1dsPJDMpkMQNscl47fOwghpN89PDx61BeVStXp3B39I6KhxYwKEbmEG2+8ERqNBlVVVRg3bpzdFhoaKtU7fPiw9PuFCxfw1Vdf4YYbbpDO8c9//tPuvIcOHcJ1110HhUKBqKgo2Gw2uzkvROTamFEhIpfg7e2NpUuXIj09HTabDbfeeiuMRiMOHToELy8vhIWFAQDWrl0Lf39/BAUFYdWqVQgICMDcuXMBAL/5zW9w88034+mnn0ZKSgoKCwuxceNGZGVlAQDGjh2LRYsW4ZFHHsGGDRswefJknD59GnV1dbj//vuddelE1A0GKkTkMp5++mkEBgYiMzMTFRUVGDFiBKKjo7Fy5Urp1su6devwxBNPoLy8HJMnT8aePXugVqsBANHR0XjzzTfx+9//Hk8//TRGjx6NtWvX4qGHHpLayM7OxsqVK7F48WLU19djzJgxWLlypTMul4h6QCYuv4FLROSiDhw4gP/4j//AhQsXMGLECGd3h4iGCOeoEBERkctioEJEREQui7d+iIiIyGUxo0JEREQui4EKERERuSwGKkREROSyGKgQERGRy2KgQkRERC6LgQoRERG5LAYqRERE5LIYqBAREZHL+n/aSZPnHj+kggAAAABJRU5ErkJggg==\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.figure(figsize=(6, 3))\n",
+ "\n",
+ "plt.plot(range(60), lstm_history.history['loss'])\n",
+ "plt.title('LSTM Loss')\n",
+ "plt.xlabel('epoch')\n",
+ "plt.ylabel('MSE')\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "b382877a",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "10/10 [==============================] - 1s 5ms/step\n"
+ ]
+ }
+ ],
+ "source": [
+ "# make predictions and rescale back from [0, 1] to original\n",
+ "lstm_predictions = lstm.predict(X)\n",
+ "lstm_pred = scaler.inverse_transform(lstm_predictions)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 15,
+ "id": "7f4fc382",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "LSTM performance:\n",
+ "-----------------\n",
+ "RMSE: 0.4957\n",
+ "R2: 0.9835\n",
+ "MAE: 0.3736\n",
+ "MAPE: 0.2218%\n"
+ ]
+ }
+ ],
+ "source": [
+ "rmse = np.sqrt(mean_squared_error(true, lstm_pred))\n",
+ "r2 = r2_score(true, lstm_pred)\n",
+ "mae = mean_absolute_error(true, lstm_pred)\n",
+ "mape = mean_absolute_percentage_error(true, lstm_pred)\n",
+ "\n",
+ "print('LSTM performance:')\n",
+ "print('-----------------')\n",
+ "print('RMSE: {:.4f}'.format(rmse))\n",
+ "print('R2: {:.4f}'.format(r2))\n",
+ "print('MAE: {:.4f}'.format(mae))\n",
+ "print('MAPE: {:.4f}%'.format(mape))"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 16,
+ "id": "5b25773e",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot predictions\n",
+ "plt.figure(figsize=(8, 3.5))\n",
+ "\n",
+ "plt.plot(df['Rate'], label='true')\n",
+ "plt.plot(df.iloc[n_lags:].index, lstm_pred, label='forecast')\n",
+ "plt.title('Inflation Forecasts: LSTM')\n",
+ "plt.legend()\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 17,
+ "id": "7bb3cde5",
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "1/1 [==============================] - 0s 22ms/step\n",
+ "1/1 [==============================] - 0s 21ms/step\n",
+ "1/1 [==============================] - 0s 22ms/step\n",
+ "1/1 [==============================] - 0s 21ms/step\n",
+ "1/1 [==============================] - 0s 22ms/step\n",
+ "1/1 [==============================] - 0s 22ms/step\n"
+ ]
+ }
+ ],
+ "source": [
+ "forecast = []\n",
+ "last_sequence = X[-1]\n",
+ "\n",
+ "# get out-of samples\n",
+ "for _ in range(forecast_period):\n",
+ " last_sequence = last_sequence.reshape((1, n_lags, 1)) # reshape last_sequence for prediction\n",
+ " \n",
+ " next_pred = lstm.predict(last_sequence) # predict the next value\n",
+ " \n",
+ " forecast.append(next_pred[0, 0]) # append the predicted value to list\n",
+ " \n",
+ " # update last_sequence with the new value\n",
+ " last_sequence = np.append(last_sequence[:, 1:, :], next_pred[0, 0]).reshape((1, n_lags, 1))\n",
+ "\n",
+ "lstm_forecast = scaler.inverse_transform(np.array(forecast).reshape(-1, 1))"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "38fded66",
+ "metadata": {},
+ "source": [
+ "### 5. Out-Of Sample Predictions"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 18,
+ "id": "b28bbe94",
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "# mm/dd/yyyy format\n",
+ "placeholder = pd.date_range(start='02/01/2024', end='08/01/2024', freq='M')\n",
+ "\n",
+ "# new dataframe with out-of samples\n",
+ "df_forecasts = pd.DataFrame()\n",
+ "df_forecasts['date'] = placeholder\n",
+ "df_forecasts['cnn'] = cnn_forecast\n",
+ "df_forecasts['lstm'] = lstm_forecast\n",
+ "df_forecasts.set_index('date', inplace=True)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 19,
+ "id": "f75e121b",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# plot out-of samples\n",
+ "plt.figure(figsize=(8, 3.5))\n",
+ "\n",
+ "plt.plot(df['Rate'], label='true')\n",
+ "plt.plot(df_forecasts['cnn'], label='CNN')\n",
+ "plt.plot(df_forecasts['lstm'], label='LSTM')\n",
+ "plt.title('Out-Of Sample Predictions')\n",
+ "plt.xlim(pd.Timestamp('2019-01-01'), df_forecasts.index[-1])\n",
+ "plt.legend()\n",
+ "\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 20,
+ "id": "3f07e098",
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": 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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from seaborn import histplot\n",
+ "\n",
+ "# residuals\n",
+ "cnn_resid = true.values - cnn_pred\n",
+ "lstm_resid = true.values - lstm_pred\n",
+ "\n",
+ "plt.figure(figsize=(8, 3))\n",
+ "\n",
+ "plt.subplot(1, 2, 1)\n",
+ "histplot(x=cnn_resid.reshape(-1,), kde=True)\n",
+ "plt.axvline(x=cnn_resid.mean(), color='red') # plot mean value\n",
+ "plt.title('CNN Residuals')\n",
+ "plt.xlabel(None)\n",
+ "plt.ylabel(None)\n",
+ "\n",
+ "plt.subplot(1, 2, 2)\n",
+ "histplot(x=lstm_resid.reshape(-1,), kde=True)\n",
+ "plt.axvline(x=lstm_resid.mean(), color='red') # plot mean value\n",
+ "plt.title('LSTM Residuals')\n",
+ "plt.xlabel(None)\n",
+ "plt.ylabel(None)\n",
+ "\n",
+ "plt.tight_layout()\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "b674dd9e",
+ "metadata": {},
+ "source": [
+ "| | RMSE | R2 | MAE | MAPE [%] |\n",
+ "|----------|--------|---------|--------|----------|\n",
+ "| **CNN** | 0.4008 | 0.9892 | 0.3012 | 0.1753 |\n",
+ "| **LSTM** | 0.4957 | 0.9835 | 0.3736 | 0.2218 |\n",
+ " \n",
+ "### 6. Conclusion\n",
+ " \n",
+ "We forecasted inflation rates with deep learning for the nearest six month time period. Polish inflation will continue to decrease in the nearest months. Two neural networks were developed to extract out-of sample predictions. Based on evaluation metrics and model residuals, the CNN (convolutional neural network) performed better and is less biased."
+ ]
+ }
+ ],
+ "metadata": {
+ "kernelspec": {
+ "display_name": "Python 3 (ipykernel)",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.10.9"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/poland_inflation_ratings.xlsx b/poland_inflation_ratings.xlsx
index 11e7967..320e431 100644
Binary files a/poland_inflation_ratings.xlsx and b/poland_inflation_ratings.xlsx differ