iAssure Service - Summary Comparison with Quartile Band for Privacy and Model Update.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Summary Comparison with Quartile Band for Privacy and Model Update\n",
    "\n",
    "## Data format\n",
    "### Statistical data\n",
    "* mean = 3\n",
    "* median = 4\n",
    "* variance = 5\n",
    "* lower quartile = 6\n",
    "* higher quartile = 7\n",
    "* 10% = 8\n",
    "* 20% = 9\n",
    "* 30% = 10\n",
    "* 40% = 11\n",
    "* 60% = 12\n",
    "* 70% = 13\n",
    "* 80% = 14\n",
    "* 90% = 15\n",
    "\n",
    "### Measurement location\n",
    "Variable: measureSelect\n",
    "* 2 = configuration time\n",
    "* 3 = model update\n",
    "* 4 = reaction time\n",
    "* 5 = privacy update\n",
    "* 6 = total processing\n",
    "\n",
    "* 1 = data/time value for the measurement"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Reading data/summary/simulated-account-services-00001.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00002.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00003.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00004.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00005.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00006.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00007.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00008.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00009.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00010.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00011.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00012.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00013.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00014.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00015.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00020.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00030.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00040.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00050.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00060.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00070.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00080.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00090.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00095.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00100.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00110.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00120.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00130.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00140.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00150.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00200.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00300.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00400.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00500.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00550.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00560.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00570.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00580.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00600.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00700.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00800.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-00900.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-01000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-02000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-03000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-04000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-05000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-06000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-07000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-08000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-09000.csv ...\"\n",
      "[1] \"Reading data/summary/simulated-account-services-10000.csv ...\"\n",
      "   index    median        ql        qh\n",
      "1      1  145.4799  122.2163  164.3935\n",
      "2      2  163.3223  124.0490  184.1107\n",
      "3      3  178.7937  139.5391  203.7692\n",
      "4      4  189.4196  146.7053  223.1232\n",
      "5      5  205.7923  156.1868  240.2730\n",
      "6      6  222.3945  168.3988  252.2830\n",
      "7      7  230.5082  183.6552  268.6155\n",
      "8      8  245.2619  194.2485  286.1653\n",
      "9      9  260.9206  206.6377  302.9902\n",
      "10    10  270.7770  219.7871  316.9004\n",
      "11    11  280.6623  226.2980  325.9022\n",
      "12    12  290.7962  239.3100  341.5491\n",
      "13    13  304.7310  250.6222  353.9557\n",
      "14    14  318.0055  263.6168  369.3909\n",
      "15    15  329.3877  273.0173  382.9440\n",
      "16    20  395.8622  338.7174  453.3866\n",
      "17    30  508.4640  453.4303  568.2515\n",
      "18    40  621.2517  553.2164  687.6679\n",
      "19    50  733.7264  657.9036  802.5730\n",
      "20    60  852.3262  715.7808  921.5094\n",
      "21    70  972.8578  758.5448 1037.8194\n",
      "22    80 1091.8218  804.2620 1157.0464\n",
      "23    90 1218.4015  851.4992 1291.1713\n",
      "24    95 1260.6946  859.8697 1333.8198\n",
      "25   100 1332.4399  895.1766 1419.9256\n",
      "26   110 1404.2752  927.5791 1525.3023\n",
      "27   120 1486.4063  954.8846 1651.0362\n",
      "28   130 1550.8856  986.9610 1771.9351\n",
      "29   140 1619.3673 1028.6826 1900.5335\n",
      "30   150 1652.1511 1048.8655 1974.8083\n",
      "31   200 1830.2904 1200.9408 2261.1910\n",
      "32   300 2369.1727 1357.2799 2897.8995\n",
      "33   400 2833.8335 1125.5854 3698.2276\n",
      "34   500 2647.0755 1093.8072 4624.8784\n",
      "35   550 2512.8918 1000.8037 4547.9529\n",
      "36   560 2558.8396  970.8086 4685.2365\n",
      "37   570 2410.9096 1002.6121 4570.9155\n",
      "38   580 2451.5572  985.0992 4575.3655\n",
      "39   600 2428.8154  985.9493 4500.2648\n",
      "40   700 2596.5161  911.1923 5142.9360\n",
      "41   800 2311.4610  863.3848 4573.3529\n",
      "42   900 2117.9572  925.8182 4628.1865\n",
      "43  1000 2202.7125  925.2073 4361.6059\n",
      "44  2000 2523.1555 1062.4920 4634.7971\n",
      "45  3000 2587.8352 1043.0548 5073.8931\n",
      "46  4000 2694.5792 1125.7207 5314.7118\n",
      "47  5000 2743.4386 1108.0281 5552.4479\n",
      "48  6000 2797.5816 1120.9771 5601.9983\n",
      "49  7000 2978.8989 1161.6526 5910.5703\n",
      "50  8000 3127.3219 1267.0695 6110.3414\n",
      "51  9000 3282.4051 1269.1522 6497.7537\n",
      "52 10000 3239.2276 1254.0470 6558.3212\n"
     ]
    }
   ],
   "source": [
    "size=c()\n",
    "median=c()\n",
    "ql=c()\n",
    "qh=c()\n",
    "\n",
    "measureSelect <- 5\n",
    "\n",
    "for (loop in c(1,2,3,4,5,6,7,8,9,\n",
    "                     10,11,12,13,14,15,16,17,18,19,\n",
    "                     20,30,40,50,60,70,80,90,95,\n",
    "                     100,110,120,130,140,150,\n",
    "                     200,300,400,\n",
    "                     500,550,560,570,580,590,\n",
    "                     600,\n",
    "                     700,710,720,730,740,750,\n",
    "                     800,\n",
    "                     900,950,960,970,980,990,\n",
    "                     1000,1010,1020,1030,1040,1050,\n",
    "                     2000,3000,4000,5000,6000,7000,8000,9000,\n",
    "                     10000)) {\n",
    "    measurementFile <- sprintf(\"data/summary/simulated-account-services-%05d.csv\", loop)\n",
    "    if (file.exists(measurementFile)) {\n",
    "        if (file.size(measurementFile) > 0) {\n",
    "            print(sprintf(\"Reading %s ...\", measurementFile))\n",
    "            input <- read.csv(measurementFile)\n",
    "            size <- c(size,loop)\n",
    "            median <- c(median, input[measureSelect,4])\n",
    "            ql <- c(ql, input[measureSelect,6])\n",
    "            qh <- c(qh, input[measureSelect,7])\n",
    "        } else {\n",
    "            print(sprintf(\"File %s is empty.\", measurementFile))\n",
    "        }\n",
    "    }    \n",
    "}\n",
    "\n",
    "data <- data.frame(\"index\"=size,\n",
    "    \"median\"=median,\n",
    "    \"ql\"=ql,\n",
    "    \"qh\"=qh,      \n",
    "    stringsAsFactors=FALSE) \n",
    "\n",
    "print(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setting up the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nEEBCEIL8Px+HedcftY0oAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nBPl/6MRvfp5akx0AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAADAFBMVEUAAAABAQECAgIDAwME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\nICGIgAASgggIICGIgPw/2BzDlkJZNuIAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(ggplot2)\n",
    "library(magrittr)\n",
    "library(ggpubr)\n",
    "library(repr)\n",
    "library(reshape2)\n",
    "library(nlme)\n",
    "\n",
    "ggplot(data, aes(x=index, y=median)) + \n",
    "    scale_x_continuous(trans='log10') +\n",
    "    xlab(\"Model Size (instances)\") + \n",
    "    ylab(\"Execution Time (ms)\") +\n",
    "    ggtitle(\"Log scaled presentation with lower and upper quartile\") +\n",
    "    geom_point() + \n",
    "    geom_line() + \n",
    "    geom_ribbon(data=data, aes(ymin=ql, ymax=qh), alpha=0.3)\n",
    "\n",
    "ggplot(data, aes(x=index, y=median)) + \n",
    "    xlab(\"Model Size (instances)\") + \n",
    "    ylab(\"Execution Time (ms)\") +\n",
    "    ggtitle(\"Linear scaled presentation with lower and upper quartile\") +\n",
    "    geom_point() + \n",
    "    geom_line() + \n",
    "    geom_ribbon(data=data, aes(ymin=ql, ymax=qh), alpha=0.3)\n",
    "\n",
    "ggplot(data, aes(x=index, y=median)) + \n",
    "    scale_x_continuous(trans='log10') +\n",
    "    xlab(\"Model Size (instances)\") + \n",
    "    ylab(\"Execution Time (ms)\") +\n",
    "    ggtitle(\"Log scaled presentation\") +\n",
    "    geom_point() + \n",
    "    geom_line()\n",
    "\n",
    "ggplot(data, aes(x=index, y=median)) + \n",
    "    xlab(\"Model Size (instances)\") + \n",
    "    ylab(\"Execution Time (ms)\") +\n",
    "    ggtitle(\"Linear scaled presentation\") +\n",
    "    geom_point() + \n",
    "    geom_line()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}