oddskool/ddm.ipynb

## ddm.ipynb
{
 "metadata": {
  "name": "",
  "signature": "sha256:b9c313fc46eb17038406efe09b68131b3f359a104f34b88aec1f93b1a2b02e33"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Open Rate Drop Detection Methods\n",
      "\n",
      "Here we will study a number of methods to detect drops in open rate of different email retargeting campaigns. \n",
      "\n",
      "The short-term goal is to raise alerts when such drops are detected. \n",
      "\n",
      "Hence, we will favor:\n",
      "  1. big drop detection\n",
      "  1. few false alarms\n",
      "  1. non-parametric methods"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Data Formating"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Imports and CSV export reading\n"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import os\n",
      "import pandas as pd\n",
      "import numpy as np\n",
      "from pandas.stats.moments import *\n",
      "import matplotlib.pyplot as plt\n",
      "from matplotlib.font_manager import FontProperties\n",
      "\n",
      "%pylab inline  # switch on images rendering inside the notebook\n",
      "\n",
      "filename = 'early_june.csv'\n",
      "\n",
      "data = pd.read_csv(\n",
      "    os.path.join('/Users/eustache/sources/science/mailsender_logs/',\n",
      "                 filename),\n",
      "    sep='\\t', parse_dates=True, index_col=[0])\n",
      "print \"read\", data.shape, \"records\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "read (24, 238) records\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/Users/eustache/anaconda/lib/python2.7/site-packages/pandas/io/excel.py:626: UserWarning: Installed openpyxl is not supported at this time. Use >=1.6.1 and <2.0.0.\n",
        "  .format(openpyxl_compat.start_ver, openpyxl_compat.stop_ver))\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Select some Series to keep graphs readable"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def select_ratio_data(patterns, min_sent, data, limit=100):\n",
      "    if type(patterns) is not list:\n",
      "        patterns = [patterns]\n",
      "    # select matching variables by name\n",
      "    selected = set()\n",
      "    for k, v in data.iterkv():\n",
      "        for pattern in patterns:\n",
      "            if pattern.lower() in k.lower():\n",
      "                if k.count(':') != 1:\n",
      "                    break\n",
      "                selected.add(k.split(':')[1])\n",
      "    # select variables by min #sent emails\n",
      "    sub_selected = set()\n",
      "    for k in selected:\n",
      "        if data.get('SENT:' + k, np.array([1])).sum() < min_sent:\n",
      "            continue\n",
      "        if len(sub_selected) >= limit:\n",
      "            break\n",
      "        sub_selected.add(k)\n",
      "    # compute ratios\n",
      "    for k in sub_selected:\n",
      "        o = data.get('OPEN:' + k, np.array([0]))\n",
      "        s = data.get('SENT:' + k, np.array([1]))\n",
      "        data[k.split('=')[1]] = 100 * o / s\n",
      "    return data[[k.split('=')[1] for k in sub_selected]]\n",
      "\n",
      "ratio_data = select_ratio_data('-', 5e5, data, limit=3)\n",
      "print \"selected\", ratio_data.shape, \"series\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(24, 3)\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## First Visualization"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def plot_open_rates(ratio_data):\n",
      "    # create figure canvas\n",
      "    f = plt.figure(figsize=(12, 8))\n",
      "    f.suptitle('Open Rate')\n",
      "    axes = f.add_subplot(111, axisbg=(0.961, 0.961, 0.961))\n",
      "    axes.margins(0.01)\n",
      "    ratio_lines = plt.plot(ratio_data)\n",
      "    plt.grid(True)\n",
      "    plt.ylabel('Open Rate (%)')\n",
      "    plt.ylim(0.0, 100.0)\n",
      "    # put date ticks\n",
      "    ticks = [str(_)[:10] for _ in ratio_data.index.values]\n",
      "    start, end = axes.get_xlim()\n",
      "    step_size = (end - start) / float(len(ticks))\n",
      "    axes.xaxis.set_ticks(np.arange(start, end, step_size))\n",
      "    axes.set_xticklabels(ticks)\n",
      "    plt.xticks(rotation=30)\n",
      "    return axes, ratio_lines, [l for l in ratio_data.columns.values]\n",
      "\n",
      "def add_legend(axes, lines, labels):\n",
      "    fp = FontProperties()\n",
      "    fp.set_size('small')\n",
      "    box = axes.get_position()\n",
      "    axes.set_position([box.x0, box.y0, box.width * 0.8, box.height])\n",
      "    plt.legend(lines, labels, loc='upper left', bbox_to_anchor=(1, 0.5),\n",
      "               prop=fp)\n",
      "\n",
      "axes, ratio_lines, ratio_labels = plot_open_rates(ratio_data)\n",
      "add_legend(axes, ratio_lines, ratio_labels)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAvwAAAIjCAYAAAB/MM91AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niIiIiIiIiPAfXt/uu/fXJTsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10de5fd50>"
       ]
      }
     ],
     "prompt_number": 16
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A few remarks at this stage:\n",
      "  - the 3 series seem non-stationary (global descending trend) and globally a-periodic\n",
      "      - very different from biological/mechanical signals\n",
      "      - quantiles thresholding likely to fail at this scale\n",
      "  - it seems we have seasonality at the week period\n",
      "      - June 7th, 14th, 21th are all Saturdays\n",
      "      - also the minimums are not exactly at these dates, they are in the vicinity\n",
      "  - the blue curve has a big peak around June 9th\n",
      "      - is it an anomaly too ?"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Drop Detection Methods\n",
      "\n",
      "In Anomaly Detection (e.g. [Ted Duning's talk](http://www.infoq.com/fr/presentations/mapr-anomaly-detection)) one usually tries to define what is \"normal\" and then separate what doesn't fit into the data \"normality\". Otherwise if we can define what is an anomaly directly we can use a classifier. \n",
      "\n",
      "Let's test different formulations of the problem."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Na\u00efve Thresholding\n",
      "\n",
      "A first idea then would be to threshold drops at, say, 5% - which seems like a natural business rule."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# some code to draw anomaly markers on the plot\n",
      "def draw_markers(ratio_data, selected_data, marker_color, marker_mark):\n",
      "    points = ratio_data.copy()\n",
      "    for row in selected_data:\n",
      "        for ts, value in selected_data[row].iteritems():\n",
      "            points[row][ts] = ratio_data[row][ts] if selected_data[row][\n",
      "                ts] else None\n",
      "    return plt.plot(points, ms=15, linestyle='', alpha=0.5,\n",
      "                    color=marker_color, marker=marker_mark)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axes, all_lines, all_labels = plot_open_rates(ratio_data)\n",
      "\n",
      "# our \"model\" here is the value at the previous point in time\n",
      "# our definition of anomaly is a deviation of -5% from the model\n",
      "selected_data = (ratio_data - ratio_data.shift(1)) / ratio_data.shift(1) < - 0.05\n",
      "\n",
      "all_lines.append(draw_markers(ratio_data, selected_data, 'r', 'o')[0])\n",
      "all_labels.append('5% drop detected')\n",
      "add_legend(axes, ratio_lines, ratio_labels)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAvwAAAIjCAYAAAB/MM91AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRERERESE/we6AH9P6ZBvWwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10de291d0>"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Mmmm... unfortunately it seems that we would have a lot of alarms !\n",
      "\n",
      "So either our business is really doing badly in this period... or the 5% threshold is a bit to rude.\n",
      "\n",
      "In addition to that we observe:\n",
      "  - at June 19th on the green line what seems like a transient anomaly - do we want an alarm here ?\n",
      "  - at June 10th/11th/12th 3 consecutive alarms - do we want repetitive alarms ?\n",
      "\n",
      "Of course we could play with the threshold but there are more powerful methods out there."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Moving Average Estimate\n",
      "\n",
      "Here the idea is to use more historical data than just the previous data point to define \"normal\". Instead we take the average signal value in the previous _n_ time steps."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axes, all_lines, all_labels = plot_open_rates(ratio_data)\n",
      "\n",
      "# Select points with > 10% difference wrt to the 5-day regular Window\n",
      "# Moving Average estimate\n",
      "window_size = 7\n",
      "min_diff = 0.1\n",
      "mw_estimate = rolling_mean(ratio_data, window_size)\n",
      "selected_data = (ratio_data - mw_estimate) / mw_estimate < - min_diff\n",
      "all_lines.append(draw_markers(ratio_data, selected_data, 'b', 'o')[0])\n",
      "all_labels.append('MA @%sd > %s Detected Drop' % (window_size, min_diff))\n",
      "\n",
      "add_legend(axes, all_lines, all_labels)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAvwAAAIjCAYAAAB/MM91AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10deddad0>"
       ]
      }
     ],
     "prompt_number": 27
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What we observe here:\n",
      "  - we have less transient and repetitive alarms\n",
      "  - unfortunately due to the length of the window we have alarms even at points where the curve is ascending\n",
      "  \n",
      "Also, the 10% rule can be seen as quite arbitrary. And the average to be a crude estimator of the true mean.\n",
      "\n",
      "Finally we could also argue that as the global trend is descending giving the same importance to all points in the past doesn't capture the aforementioned trend."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Exponential Moving Average Estimate\n",
      "\n",
      "Another witty model is to consider that each data point is exponentially more important than the previous (with a controllable exponential base).\n",
      "\n",
      "This leads to a model of series with geometric progression [[1]](http://en.wikipedia.org/wiki/Exponential_smoothing):\n",
      "\n",
      "$ s_t = \\alpha x_{t} + (1-\\alpha) s_{t-1} $\n",
      "\n",
      "$\\alpha$ is called the smoothing factor.\n",
      "\n",
      "One can also parametrize the series with a _span_ : \n",
      "\n",
      "$\\alpha = 2/(span+1)$ [[2]](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.stats.moments.ewma.html) \n",
      "\n",
      "which is quite natural as its dimension can be thought of as time steps (e.g. days)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "axes, all_lines, all_labels = plot_open_rates(ratio_data)\n",
      "\n",
      "window_size = 5\n",
      "min_diff = 0.1\n",
      "ewma_estimate = ewma(ratio_data, span=window_size)\n",
      "selected_data = (ratio_data - ewma_estimate) / ewma_estimate < - min_diff\n",
      "all_lines.append(draw_markers(ratio_data, selected_data, 'g', '^')[0])\n",
      "all_labels.append('EWMA @%sd > %s Detected Drop' % (window_size, min_diff))\n",
      "\n",
      "add_legend(axes, all_lines, all_labels)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAvwAAAIjCAYAAAB/MM91AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10dad75d0>"
       ]
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What we observe:\n",
      "    - fewer alarms overall\n",
      "    - some repetitive alarms (those can be discarded programatically or left as is)\n",
      "    - the big blue peak is considered as transient by the model (should it ?)\n",
      "    - alarms seem well distributed in parts of the signal that seem relevant to a human eyeball\n",
      "    \n",
      "There are some caveats though:\n",
      "    - the model doesn't take into account seasonality ([triple smoothing(http://en.wikipedia.org/wiki/Exponential_smoothing#Triple_exponential_smoothing) might)\n",
      "    - zooming out we shuld maybe raise alarms because the overall rate is descending from ~40% to ~25%"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}