anomaly_detection.ipynb

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    "## Anomaly Detection using Brutlag algorithm\n",
    "\n",
    "### Dataset\n",
    "The dataset contains India's monthly average temperature (°C) recorded for a period of 2000-2018.\n"
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from time_series import TimeSeries\n",
    "\n",
    "# Imports for data visualization\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "from matplotlib.dates import DateFormatter\n",
    "from matplotlib import dates as mpld\n",
    "\n",
    "from pandas.plotting import register_matplotlib_converters\n",
    "register_matplotlib_converters()\n",
    "\n",
    "ts = TimeSeries('dataset/average_temp_india.csv', train_size=0.7)\n",
    "\n",
    "plt.plot(ts.data.iloc[:,1].index,ts.data.iloc[:,1])\n",
    "plt.gcf().autofmt_xdate()\n",
    "plt.title(\"Average Temperature of India (2000-2018)\")\n",
    "plt.xlabel(\"Time\")\n",
    "plt.ylabel(\"Temparature (°C)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "from statsmodels.tsa.seasonal import seasonal_decompose\n",
    "\n",
    "seasonal_decompose(ts.data.iloc[:,1],model='additive',period=12).plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Observations\n",
    "\n",
    "1. The time series has an overall slight increasing trend and constant seasonality with period = 12.\n",
    "2. From the initial observation we can see that data around 2015 has some amount of anomaly as the residue components indicates it.\n",
    "3. Also data between 2016-2017 shows an abnormal increase compared to other data points. The trend component for the same peroid support the assumption."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Anomaly Plot\n",
    "\n",
    "This plot was generated by [anomaly_detection.py](https://github.com/KrishnanSG/holt-winters/blob/master/anomaly_detection.py).\n",
    "\n",
    "![Plot](https://raw.githubusercontent.com/KrishnanSG/holt-winters/master/plots/brutlag_plot.png?token=AKOF7AY5U23BQM3UVB4JVHK6Q5Y3W)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The data points classified as anomaly\n",
    "\n",
    "|   date    |values|\n",
    "|-----------|------|        \n",
    "|2001-05-01 |29.46 |\n",
    "|2001-09-01 |26.86 |\n",
    "|2001-12-01 |19.55 |\n",
    "|2002-04-01 |27.66 |\n",
    "|2002-07-01 |28.47 |\n",
    "|2002-11-01 |23.17 |\n",
    "|2006-01-01 |19.96 |\n",
    "|2006-02-01 |23.02 |\n",
    "|2010-03-01 |26.53 |\n",
    "|2014-12-01 |29.50 |\n",
    "|2016-01-01 |20.92 |\n",
    "|2016-02-01 |23.58 |\n",
    "|2016-05-01 |30.41 |\n",
    "|2016-06-01 |31.70 |\n",
    "|2016-07-01 |32.18 |\n",
    "|2016-08-01 |32.19 |\n",
    "|2016-09-01 |30.72 |\n",
    "|2016-10-01 |28.81 |\n",
    "|2016-11-01 |25.90 |"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Analysing the anomaly obsevered between 2016-2017\n",
    "\n",
    "![Plot](https://raw.githubusercontent.com/KrishnanSG/holt-winters/master/plots/anomaly_2016-17.png?token=AKOF7AYL6D7JHEG25KDXU6S6Q5YWY)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "The anomalies present in the time series have been correctly identified. Also the initial observations made on the time series using seasonal decompose turn out to be appropriate and can be verified by the confidence bands genereated by brutlag algorithm."
   ]
  }
 ]
}