{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Stratified sampling\n",
    "\n",
    "In large dataset a relatively small group of points might be overplotted by the dominant group. In this case __stratified sampling__ can help."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
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       "       window.letsPlotCall = function(f) {\n",
       "           window.letsPlotCallQueue.push(f);\n",
       "       };\n",
       "       (function() {\n",
       "           var script = document.createElement(\"script\");\n",
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       "           script.src = \"https://cdn.jsdelivr.net/gh/JetBrains/lets-plot@v2.3.0/js-package/distr/lets-plot.min.js\";\n",
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       "       })();\n",
       "   </script>"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%useLatestDescriptors\n",
    "%use lets-plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import java.util.Random\n",
    "\n",
    "val N = 5000 \n",
    "val smallGroup = 3\n",
    "val largeGroup = N - smallGroup\n",
    "\n",
    "val rand = Random(123)\n",
    "val data = mapOf (\n",
    "    \"x\" to List(N) { rand.nextGaussian() },\n",
    "    \"y\" to List(N) { rand.nextGaussian() },\n",
    "    \"cond\" to List(smallGroup) { 'A' } + List(largeGroup) { 'B' }\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
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       "},\n",
       "\"kind\":\"plot\",\n",
       "\"scales\":[{\n",
       "\"aesthetic\":\"color\",\n",
       "\"breaks\":[\"A\",\"B\"],\n",
       "\"values\":[\"red\",\"#1C9E77\"]\n",
       "}],\n",
       "\"layers\":[{\n",
       "\"mapping\":{\n",
       "},\n",
       "\"stat\":\"identity\",\n",
       "\"size\":5.0,\n",
       "\"alpha\":0.2,\n",
       "\"position\":\"identity\",\n",
       "\"geom\":\"point\",\n",
       "\"data\":{\n",
       "}\n",
       "}]\n",
       "};\n",
       "           var plotContainer = document.getElementById(\"QgnUtW\");\n",
       "           window.letsPlotCall(function() {{\n",
       "               LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer);\n",
       "           }});\n",
       "       })();    \n",
       "   </script>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "// Data points in group 'A' (small group) are overplotted by the dominant group 'B'.\n",
    "val p = ggplot(data) { x=\"x\"; y=\"y\"; color=\"cond\" } + \n",
    "        scaleColorManual(values=listOf(\"red\", \"#1C9E77\"), breaks=listOf('A', 'B'))\n",
    "p + geomPoint(size=5, alpha=.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "   <div id=\"qz1SHu\"></div>\n",
       "   <script type=\"text/javascript\" data-lets-plot-script=\"plot\">\n",
       "       (function() {\n",
       "           var plotSpec={\n",
       "\"mapping\":{\n",
       "\"x\":\"x\",\n",
       "\"y\":\"y\",\n",
       "\"color\":\"cond\"\n",
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       "\"geom\":\"point\",\n",
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       "}\n",
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       "\"computation_messages\":[\"sampling_random(n=50, seed=2) was applied to [point/identity stat] layer\"]\n",
       "};\n",
       "           var plotContainer = document.getElementById(\"qz1SHu\");\n",
       "           window.letsPlotCall(function() {{\n",
       "               LetsPlot.buildPlotFromProcessedSpecs(plotSpec, -1, -1, plotContainer);\n",
       "           }});\n",
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       "   </script>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
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   ],
   "source": [
    "// The 'random' sampling loses the group 'A' altogether.\n",
    "p + geomPoint(size=5, sampling=samplingRandom(50, seed=2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
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   "source": [
    "// Stratified sampling ensures that group 'A' is represented.\n",
    "p + geomPoint(size=5, sampling=samplingRandomStratified(50, seed=2))"
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