merlion_test_flat_line.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
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    "\n",
    "k = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from merlion.utils.time_series import TimeSeries\n",
    "from merlion.models.defaults import DefaultForecasterConfig, DefaultForecaster\n",
    "import pandas as pd\n",
    "\n",
    "y.extend([0]*k)\n",
    "\n",
    "train_val_list = ([1] * len(y)) + ([0] * k)\n",
    "idx = pd.date_range(end='01/01/2000', periods=len(y), freq=\"H\")\n",
    "df = pd.DataFrame(y, index=idx).rename(columns={0:'y'})\n",
    "\n",
    "train_data = TimeSeries.from_pd(df.head(df.shape[0]-k))\n",
    "test_data = TimeSeries.from_pd(df.tail(k))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "                         y\n",
       "1999-10-24 18:00:00  146.0\n",
       "1999-10-24 19:00:00  126.0\n",
       "1999-10-24 20:00:00  126.0\n",
       "1999-10-24 21:00:00  124.0\n",
       "1999-10-24 22:00:00  124.0\n",
       "...                    ...\n",
       "1999-12-27 16:00:00   50.0\n",
       "1999-12-27 17:00:00   48.0\n",
       "1999-12-27 18:00:00   48.0\n",
       "1999-12-27 19:00:00   61.0\n",
       "1999-12-27 20:00:00   61.0\n",
       "\n",
       "[1539 rows x 1 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train_data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from merlion.models.defaults import DefaultForecasterConfig, DefaultForecaster\n",
    "model = DefaultForecaster(DefaultForecasterConfig())\n",
    "model.train(train_data=train_data)\n",
    "test_pred, test_err = model.forecast(time_stamps=test_data.time_stamps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "model.plot_forecast(time_series=test_data, plot_forecast_uncertainty=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "                             y\n",
       "1999-12-27 21:00:00  61.019268\n",
       "1999-12-27 22:00:00  61.039072\n",
       "1999-12-27 23:00:00  61.056507\n",
       "1999-12-28 00:00:00  61.071857\n",
       "1999-12-28 01:00:00  61.085372\n",
       "...                        ...\n",
       "1999-12-31 20:00:00  61.184855\n",
       "1999-12-31 21:00:00  61.184855\n",
       "1999-12-31 22:00:00  61.184855\n",
       "1999-12-31 23:00:00  61.184855\n",
       "2000-01-01 00:00:00  61.184855\n",
       "\n",
       "[100 rows x 1 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_pred"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(idx[-k:], [el[1][0] for el in test_pred], label = \"pred\")\n",
    "plt.plot(idx[:-k], [el[1][0] for el in train_data], label = \"train\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.8",
   "language": "python",
   "name": "python3.8"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}