{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook is written in R. The ggplot and apcluster were installed when Binder started - you can see how by examining the [repo for these notebooks](https://github.com/shawngraham/bindr-test-Identifying-Similar-Images-with-TensorFlow). \n",
    "\n",
    "Note that you'll get an error when you run the import script. That's because my code for writing the json in the other notebook used `'` rather than `\"`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# import the data\n",
    "library(jsonlite)\n",
    "mydata <- fromJSON(\"image_tsne_projections.json\", flatten=TRUE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9V5PL+b9bzj5cbZzZKhF0CXy5/dHChdeumllcXxMwECBAgQyAUG4t/sPwypSwTi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\nTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# uncomment the 'install.packages' lines the first time you run this\n",
    "# install.packages(\"ggplot2\")\n",
    "library(ggplot2)\n",
    "g = ggplot(mydata, aes(x = x, y = y)) + geom_point() + labs(title = \"T-SNE Plot of Image Similarity Vectors\")\n",
    "print(g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘apcluster’\n",
      "\n",
      "The following object is masked from ‘package:stats’:\n",
      "\n",
      "    heatmap\n",
      "\n"
     ]
    }
   ],
   "source": [
    "X <- cbind(mydata$x, mydata$y)\n",
    "\n",
    "## affinity propogation\n",
    "# install.packages(\"apcluster\")\n",
    "library(apcluster)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "affinity propogation optimal number of clusters: 4 \n"
     ]
    }
   ],
   "source": [
    "d.apclus <- apcluster(negDistMat(r=2), X) \n",
    "cat(\"affinity propogation optimal number of clusters:\", length(d.apclus@clusters), \"\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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TdtofuSXaYg+H718fJaZ7ZduyvuSnCUwM6mSQgg0CNAgMQbAQEEYikwxXXepYGj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1B+kjszTeo/Oh93sWnWLpKW1xIiADKU6t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\nQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(d.apclus, X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "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": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}