{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Import packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘proxy’\n",
      "\n",
      "The following object is masked from ‘package:Matrix’:\n",
      "\n",
      "    as.matrix\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    as.dist, dist\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    as.matrix\n",
      "\n"
     ]
    }
   ],
   "source": [
    "library(data.table)\n",
    "library(Matrix)\n",
    "library(proxy)\n",
    "library(Rtsne)\n",
    "library(data.table)\n",
    "library(irlba)\n",
    "library(umap)\n",
    "library(ggplot2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Preprocess"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`bsub < count_reads_peaks_erisone.sh`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "2034"
      ],
      "text/latex": [
       "2034"
      ],
      "text/markdown": [
       "2034"
      ],
      "text/plain": [
       "[1] 2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "path = './count_reads_peaks_output/'\n",
    "files <- list.files(path,pattern = \"\\\\.txt$\")\n",
    "length(files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#assuming tab separated values with a header    \n",
    "datalist = lapply(files, function(x)fread(paste0(path,x))$V4) \n",
    "#assuming the same header/columns for all files\n",
    "datafr = do.call(\"cbind\", datalist) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>491437</li>\n",
       "\t<li>2034</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 491437\n",
       "\\item 2034\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 491437\n",
       "2. 2034\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 491437   2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(datafr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "df_regions = read.csv(\"../../input/GSE96769_PeakFile_20160207.bed\",\n",
    "                      sep = '\\t',header=FALSE,stringsAsFactors=FALSE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>491437</li>\n",
       "\t<li>14</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 491437\n",
       "\\item 14\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 491437\n",
       "2. 14\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 491437     14"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(df_regions)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "peaknames = paste(df_regions$V1,df_regions$V2,df_regions$V3,sep = \"_\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'chr1_10279_10779'</li>\n",
       "\t<li>'chr1_13252_13752'</li>\n",
       "\t<li>'chr1_16019_16519'</li>\n",
       "\t<li>'chr1_29026_29526'</li>\n",
       "\t<li>'chr1_96364_96864'</li>\n",
       "\t<li>'chr1_115440_115940'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'chr1\\_10279\\_10779'\n",
       "\\item 'chr1\\_13252\\_13752'\n",
       "\\item 'chr1\\_16019\\_16519'\n",
       "\\item 'chr1\\_29026\\_29526'\n",
       "\\item 'chr1\\_96364\\_96864'\n",
       "\\item 'chr1\\_115440\\_115940'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'chr1_10279_10779'\n",
       "2. 'chr1_13252_13752'\n",
       "3. 'chr1_16019_16519'\n",
       "4. 'chr1_29026_29526'\n",
       "5. 'chr1_96364_96864'\n",
       "6. 'chr1_115440_115940'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"chr1_10279_10779\"   \"chr1_13252_13752\"   \"chr1_16019_16519\"  \n",
       "[4] \"chr1_29026_29526\"   \"chr1_96364_96864\"   \"chr1_115440_115940\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(peaknames)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-13'</li>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-14'</li>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-2'</li>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-21'</li>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-27'</li>\n",
       "\t<li>'BM1077-CLP-Frozen-160106-3'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'BM1077-CLP-Frozen-160106-13'\n",
       "\\item 'BM1077-CLP-Frozen-160106-14'\n",
       "\\item 'BM1077-CLP-Frozen-160106-2'\n",
       "\\item 'BM1077-CLP-Frozen-160106-21'\n",
       "\\item 'BM1077-CLP-Frozen-160106-27'\n",
       "\\item 'BM1077-CLP-Frozen-160106-3'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'BM1077-CLP-Frozen-160106-13'\n",
       "2. 'BM1077-CLP-Frozen-160106-14'\n",
       "3. 'BM1077-CLP-Frozen-160106-2'\n",
       "4. 'BM1077-CLP-Frozen-160106-21'\n",
       "5. 'BM1077-CLP-Frozen-160106-27'\n",
       "6. 'BM1077-CLP-Frozen-160106-3'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"BM1077-CLP-Frozen-160106-13\" \"BM1077-CLP-Frozen-160106-14\"\n",
       "[3] \"BM1077-CLP-Frozen-160106-2\"  \"BM1077-CLP-Frozen-160106-21\"\n",
       "[5] \"BM1077-CLP-Frozen-160106-27\" \"BM1077-CLP-Frozen-160106-3\" "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(sapply(strsplit(files,'\\\\.'),'[', 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "colnames(datafr) = sapply(strsplit(files,'\\\\.'),'[', 1)\n",
    "rownames(datafr) = peaknames"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>BM1077-CLP-Frozen-160106-13</th><th scope=col>BM1077-CLP-Frozen-160106-14</th><th scope=col>BM1077-CLP-Frozen-160106-2</th><th scope=col>BM1077-CLP-Frozen-160106-21</th><th scope=col>BM1077-CLP-Frozen-160106-27</th><th scope=col>BM1077-CLP-Frozen-160106-3</th><th scope=col>BM1077-CLP-Frozen-160106-36</th><th scope=col>BM1077-CLP-Frozen-160106-42</th><th scope=col>BM1077-CLP-Frozen-160106-44</th><th scope=col>BM1077-CLP-Frozen-160106-50</th><th scope=col>⋯</th><th scope=col>singles-PB1022-mono-160128-81</th><th scope=col>singles-PB1022-mono-160128-82</th><th scope=col>singles-PB1022-mono-160128-83</th><th scope=col>singles-PB1022-mono-160128-84</th><th scope=col>singles-PB1022-mono-160128-85</th><th scope=col>singles-PB1022-mono-160128-86</th><th scope=col>singles-PB1022-mono-160128-89</th><th scope=col>singles-PB1022-mono-160128-90</th><th scope=col>singles-PB1022-mono-160128-95</th><th scope=col>singles-PB1022-mono-160128-96</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>chr1_10279_10779</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>chr1_13252_13752</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>chr1_16019_16519</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>chr1_29026_29526</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>2</td><td>0</td><td>2</td><td>3</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>chr1_96364_96864</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>2</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>chr1_115440_115940</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n",
       "  & BM1077-CLP-Frozen-160106-13 & BM1077-CLP-Frozen-160106-14 & BM1077-CLP-Frozen-160106-2 & BM1077-CLP-Frozen-160106-21 & BM1077-CLP-Frozen-160106-27 & BM1077-CLP-Frozen-160106-3 & BM1077-CLP-Frozen-160106-36 & BM1077-CLP-Frozen-160106-42 & BM1077-CLP-Frozen-160106-44 & BM1077-CLP-Frozen-160106-50 & ⋯ & singles-PB1022-mono-160128-81 & singles-PB1022-mono-160128-82 & singles-PB1022-mono-160128-83 & singles-PB1022-mono-160128-84 & singles-PB1022-mono-160128-85 & singles-PB1022-mono-160128-86 & singles-PB1022-mono-160128-89 & singles-PB1022-mono-160128-90 & singles-PB1022-mono-160128-95 & singles-PB1022-mono-160128-96\\\\\n",
       "\\hline\n",
       "\tchr1\\_10279\\_10779 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\tchr1\\_13252\\_13752 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\tchr1\\_16019\\_16519 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\tchr1\\_29026\\_29526 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & ⋯ & 0 & 0 & 2 & 0 & 2 & 3 & 0 & 0 & 0 & 0\\\\\n",
       "\tchr1\\_96364\\_96864 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2 & 0 & 0\\\\\n",
       "\tchr1\\_115440\\_115940 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| <!--/--> | BM1077-CLP-Frozen-160106-13 | BM1077-CLP-Frozen-160106-14 | BM1077-CLP-Frozen-160106-2 | BM1077-CLP-Frozen-160106-21 | BM1077-CLP-Frozen-160106-27 | BM1077-CLP-Frozen-160106-3 | BM1077-CLP-Frozen-160106-36 | BM1077-CLP-Frozen-160106-42 | BM1077-CLP-Frozen-160106-44 | BM1077-CLP-Frozen-160106-50 | ⋯ | singles-PB1022-mono-160128-81 | singles-PB1022-mono-160128-82 | singles-PB1022-mono-160128-83 | singles-PB1022-mono-160128-84 | singles-PB1022-mono-160128-85 | singles-PB1022-mono-160128-86 | singles-PB1022-mono-160128-89 | singles-PB1022-mono-160128-90 | singles-PB1022-mono-160128-95 | singles-PB1022-mono-160128-96 |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| chr1_10279_10779 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n",
       "| chr1_13252_13752 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n",
       "| chr1_16019_16519 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n",
       "| chr1_29026_29526 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | ⋯ | 0 | 0 | 2 | 0 | 2 | 3 | 0 | 0 | 0 | 0 |\n",
       "| chr1_96364_96864 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 |\n",
       "| chr1_115440_115940 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ⋯ | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n",
       "\n"
      ],
      "text/plain": [
       "                   BM1077-CLP-Frozen-160106-13 BM1077-CLP-Frozen-160106-14\n",
       "chr1_10279_10779   0                           0                          \n",
       "chr1_13252_13752   0                           0                          \n",
       "chr1_16019_16519   0                           0                          \n",
       "chr1_29026_29526   0                           0                          \n",
       "chr1_96364_96864   0                           0                          \n",
       "chr1_115440_115940 0                           0                          \n",
       "                   BM1077-CLP-Frozen-160106-2 BM1077-CLP-Frozen-160106-21\n",
       "chr1_10279_10779   0                          0                          \n",
       "chr1_13252_13752   0                          0                          \n",
       "chr1_16019_16519   0                          0                          \n",
       "chr1_29026_29526   0                          0                          \n",
       "chr1_96364_96864   0                          0                          \n",
       "chr1_115440_115940 0                          0                          \n",
       "                   BM1077-CLP-Frozen-160106-27 BM1077-CLP-Frozen-160106-3\n",
       "chr1_10279_10779   0                           0                         \n",
       "chr1_13252_13752   0                           0                         \n",
       "chr1_16019_16519   0                           0                         \n",
       "chr1_29026_29526   0                           0                         \n",
       "chr1_96364_96864   0                           0                         \n",
       "chr1_115440_115940 0                           0                         \n",
       "                   BM1077-CLP-Frozen-160106-36 BM1077-CLP-Frozen-160106-42\n",
       "chr1_10279_10779   0                           0                          \n",
       "chr1_13252_13752   0                           0                          \n",
       "chr1_16019_16519   0                           0                          \n",
       "chr1_29026_29526   0                           0                          \n",
       "chr1_96364_96864   0                           0                          \n",
       "chr1_115440_115940 0                           0                          \n",
       "                   BM1077-CLP-Frozen-160106-44 BM1077-CLP-Frozen-160106-50 ⋯\n",
       "chr1_10279_10779   0                           0                           ⋯\n",
       "chr1_13252_13752   0                           0                           ⋯\n",
       "chr1_16019_16519   0                           0                           ⋯\n",
       "chr1_29026_29526   2                           0                           ⋯\n",
       "chr1_96364_96864   0                           0                           ⋯\n",
       "chr1_115440_115940 0                           0                           ⋯\n",
       "                   singles-PB1022-mono-160128-81 singles-PB1022-mono-160128-82\n",
       "chr1_10279_10779   0                             0                            \n",
       "chr1_13252_13752   0                             0                            \n",
       "chr1_16019_16519   0                             0                            \n",
       "chr1_29026_29526   0                             0                            \n",
       "chr1_96364_96864   0                             0                            \n",
       "chr1_115440_115940 0                             0                            \n",
       "                   singles-PB1022-mono-160128-83 singles-PB1022-mono-160128-84\n",
       "chr1_10279_10779   0                             0                            \n",
       "chr1_13252_13752   0                             0                            \n",
       "chr1_16019_16519   0                             0                            \n",
       "chr1_29026_29526   2                             0                            \n",
       "chr1_96364_96864   0                             0                            \n",
       "chr1_115440_115940 0                             0                            \n",
       "                   singles-PB1022-mono-160128-85 singles-PB1022-mono-160128-86\n",
       "chr1_10279_10779   0                             0                            \n",
       "chr1_13252_13752   0                             0                            \n",
       "chr1_16019_16519   0                             0                            \n",
       "chr1_29026_29526   2                             3                            \n",
       "chr1_96364_96864   0                             0                            \n",
       "chr1_115440_115940 0                             0                            \n",
       "                   singles-PB1022-mono-160128-89 singles-PB1022-mono-160128-90\n",
       "chr1_10279_10779   0                             0                            \n",
       "chr1_13252_13752   0                             0                            \n",
       "chr1_16019_16519   0                             0                            \n",
       "chr1_29026_29526   0                             0                            \n",
       "chr1_96364_96864   0                             2                            \n",
       "chr1_115440_115940 0                             0                            \n",
       "                   singles-PB1022-mono-160128-95 singles-PB1022-mono-160128-96\n",
       "chr1_10279_10779   0                             0                            \n",
       "chr1_13252_13752   0                             0                            \n",
       "chr1_16019_16519   0                             0                            \n",
       "chr1_29026_29526   0                             0                            \n",
       "chr1_96364_96864   0                             0                            \n",
       "chr1_115440_115940 0                             0                            "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "head(datafr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>491437</li>\n",
       "\t<li>2034</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 491437\n",
       "\\item 2034\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 491437\n",
       "2. 2034\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 491437   2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(datafr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# saveRDS(datafr, file = './datafr.rds')\n",
    "# datafr = readRDS('./datafr.rds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "run_pca <- function(mat,num_pcs=50,remove_first_PC=FALSE,scale=FALSE,center=FALSE){\n",
    "    set.seed(2019) \n",
    "    mat = as.matrix(mat)\n",
    "    SVD = irlba(mat, num_pcs, num_pcs,scale=scale,center=center)\n",
    "    sk_diag = matrix(0, nrow=num_pcs, ncol=num_pcs)\n",
    "    diag(sk_diag) = SVD$d\n",
    "    if(remove_first_PC){\n",
    "        sk_diag[1,1] = 0\n",
    "        SVD_vd = (sk_diag %*% t(SVD$v))[2:num_pcs,]\n",
    "    }else{\n",
    "        SVD_vd = sk_diag %*% t(SVD$v)\n",
    "    }\n",
    "    return(SVD_vd)\n",
    "}\n",
    "\n",
    "\n",
    "elbow_plot <- function(mat,num_pcs=50,scale=FALSE,center=FALSE,title='',width=3,height=3){\n",
    "    set.seed(2019) \n",
    "    mat = data.matrix(mat)\n",
    "    SVD = irlba(mat, num_pcs, num_pcs,scale=scale,center=center)\n",
    "    options(repr.plot.width=width, repr.plot.height=height)\n",
    "    df_plot = data.frame(PC=1:num_pcs, SD=SVD$d);\n",
    "#     print(SVD$d[1:num_pcs])\n",
    "    p <- ggplot(df_plot, aes(x = PC, y = SD)) +\n",
    "      geom_point(col=\"#cd5c5c\",size = 1) + \n",
    "      ggtitle(title)\n",
    "    return(p)\n",
    "}\n",
    "\n",
    "filter_peaks <- function (datafr,cutoff = 0.01){\n",
    "    binary_mat = as.matrix((datafr > 0) + 0)\n",
    "    binary_mat = Matrix(binary_mat, sparse = TRUE) \n",
    "    num_cells_ncounted = Matrix::rowSums(binary_mat)\n",
    "    ncounts = binary_mat[num_cells_ncounted >= dim(binary_mat)[2]*cutoff,]\n",
    "    ncounts = ncounts[rowSums(ncounts) > 0,]    \n",
    "    \n",
    "    options(repr.plot.width=4, repr.plot.height=4)\n",
    "    hist(log10(num_cells_ncounted),main=\"No. of Cells Each Site is Observed In\",breaks=50)\n",
    "    abline(v=log10(min(num_cells_ncounted[num_cells_ncounted >= dim(binary_mat)[2]*cutoff])),lwd=2,col=\"indianred\")\n",
    "#     hist(log10(new_counts),main=\"Number of Sites Each Cell Uses\",breaks=50)\n",
    "    datafr_filtered = datafr[rownames(ncounts),]\n",
    "    return(datafr_filtered)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Obtain Feature Matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "start_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "metadata <- read.table('../../input/metadata.tsv',\n",
    "                         header = TRUE,\n",
    "                         stringsAsFactors=FALSE,quote=\"\",row.names=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sKECX369DE0NKQVrKysVq9e/ccff1y9elXN0RJ2i1ZWVoQQqVT6+vXr5ORkd3d3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\nRUADgFAENAAIRUADgFAENAAI9Qdbx5mfp0rnOwAAAABJRU5ErkJggg==",
      "text/plain": [
       "Plot with title “No. of Cells Each Site is Observed In”"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "datafr_filtered <- filter_peaks(datafr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>135202</li>\n",
       "\t<li>2034</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 135202\n",
       "\\item 2034\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 135202\n",
       "2. 2034\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] 135202   2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(datafr_filtered)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hMT/X4/HZ9VDxaLRRRF/frX4XDIslxc\nXKxT/YIgMAyja/+qA75HXrNZs2bhHsIjDoSQZhgcCCHNMDgQQpphcCCENMPgQAhphsGBENJM\n99uxhw8ffu6550JLli9fbrPZJElavHjxtm3bRFHMzMzMzs6mA0ZrLUcIxZ7uwXHixInmzZs/\n8cQTagkdzz4vL2/37t3Tpk0jhLz55puLFi168sknoyiPmlxWBgzDYPogpJ3upyonT57s0KFD\n9xAsy/p8vg0bNkycOLFLly5paWk5OTmbN292uVxay6NrUrC09My8eaf/8Y/T06ZdWrJE9vtr\n9ykj1OjFIjiunqHj2LFjgUAgPT2dLqanpyuKcuTIEa3l0TXp1Icfll/527KCAtcXX0RXD0JN\nlu6nKidPnjQajTk5OcXFxZ07d37kkUeSk5OdTifHcer0zizL2mw2p9Pp9/s1latbuXz58tGj\nR9XF5ORkOsHP1RiGcR88GFri/+UXnudr8SkTQmq3wlAcxwEAwzD6bYK2X6eJ2mm1urafYRiO\n43SdMEjXLmZZVu/+BQCe52uyi/QNDrfbXVxc7Pf7J0+eHAwGV61a9cILLyxYsMDv9xsMhtA1\neZ4XRVFrubr4008/Pfvss+riwoUL+/TpE65VrNkc9Hh+r8pqtdvtUT/HStV6hRUIgqDrteEa\nTitXJZ7n9d5FuiKE6N1+o9Goa/1VTlQc+cdK+gaH1WrNy8uzWq30czI1NfXhhx/etm2b3W6v\n8CM0URSNRqPRaNRUri62a9fuoYceUhcdDkd5eXmlTeI4Likr6/TKlWqJ/eabw60cHUEQQqdZ\nrl0syxoMBlEUg8GgTpswGo2BQECnT2xCiCAIkiTp9yM0nuclSZJlWaf6aWTr2sWEEF37l2GY\nKl/zsizT+xiV0v1UJSEhQf2/2WxOSkpyOp0dO3YURdHj8dBPNkmS3G63w+Ewm82aytWaO3bs\nGHrjxuVyeb3eSttjNpub3367yPOle/YAw1h69eK6dQu3cnSMRmPtVhjKYDDQ4NDv15Mcx5WX\nl+v361hBEILBoH67SO9fxwqCIMuyfu3X+9exHMfR+qv8bIgQHPpeHD148ODYsWOLiorootvt\nvnDhQrt27VJSUgwGQ2FhIS0vLCwkhKSmpmotj7JZhFj79El65JGkCRPM3brV6Bki1CTpe8SR\nmpqakJDw9ttvZ2dny7K8ZMmS5s2bDxgwgGXZIUOG5ObmmkwmnucXLFgwePBgetKotRwhFHv6\nBofBYHjllVeWLFny4osvBoPBHj16/PWvf2VZFgAmTJggSdLMmTMZhsnIyJg0aRL9E63lCKHY\nI7retaorOAJYTeAIYJHhCGCAP3JDCEUBgwMhpBkGB0JIMwwOhJBmGBwIIc0wOBBCmmFwIIQ0\nw+BACGmGwYEQ0gyDAyGkGQYHQkgzDA6EkGYYHAghzTA4EEKaYXAghDTD4EAIaYbBgRDSDIMD\nIaQZBgdCSLPGOeaoKIrhZjAkhDAMI8uyfk+cZVmdBuyEmLSf1q9T5QDAsqyiKPptgmEYRVF0\n7V+oaqKzmiCEEEJ03T+EkCrbL8tyhGkodZ+QqU6Ul5eHG6zYZDKZzWaPxxNuhZpLSEgoKSnR\nqXKDwWC1Wn0+X+3OPhfKbre73W6dXrgMwyQkJIii2HAHK05MTJRlWb8uNhqNLMvqN1ixzWbj\ned7lclWZraFznlXQOIOjOh84uh5q6Ve5WrPem9CpfrVyXduva/3qVnStPAbtr8km8BoHQkgz\nDA6EkGYYHAghzTA4EEKaYXAghDTD4EAIaYbBgRDSDIMDIaQZBgdCSDMMDoSQZhgcCCHNMDgQ\nQpphcCCENMPgQAhphsGBENIMgwMhpBkGB0JIMwwOhJBmsRs6cOvWrXPnzl2zZo3BYAAASZIW\nL168bds2URQzMzOzs7MFQYiiHCEUezE64rh06VJubm5oSV5e3u7du6dNmzZ9+vSCgoJFixZF\nV44Qir1YBIeiKPPmzUtJSVFLfD7fhg0bJk6c2KVLl7S0tJycnM2bN7tcLq3lMWg8QuhqsQiO\nDRs2eDyeMWPGqCXHjh0LBALp6el0MT09XVGUI0eOaC2PQeMRQlfT/RrH2bNnV65cOXv27NAD\nBKfTyXGc1WqliyzL2mw2p9Pp9/s1lasVFhUVFRQUqItpaWk2m63S9tDZdHieJ4TU6hP9HSHE\naDTqVDnHcQDAsqx+m2AYxmAw6DSvCt3turafdrF+/Qv6d7Gu9dO5yoxGY+TpESI/qm9wyLL8\n5ptvjho1qm3btgcOHFDL/X4/vUSq4nleFEWt5eriwYMHn3/+eXVx4cKFrVu3jtAwk8kU3TOq\nJjXjdGI0GvV7YQGAxWLRr3IACP0YaIgIITHoYl3rj4uLi7xC5Kne9A2OtWvXAsCdd94pSRL9\nBKNzFxqNxgoTqYmiSN8MmsrVxZSUlCeeeEJdTEpK8nq9lTaJ53mDweDz+fSbws9sNus3DRfL\nsoIgBAIB/Waio/Xrd8RhNpuDwaDf79ejfgCgh0vBYFCn+s1ms6Io+s2kRw+H9ZuJThAEOlNc\nlUccEcJF3+DYsWPHr7/+OnLkSLVk7NixEyZMuPbaa0VR9Hg8tGWSJLndbofDYTabNZWr1bZt\n2/ahhx5SF10uV7h+JYQYDIZAIKBfx5hMJv1eVQaDQRCEYDCo6yb0C1aGYcxmsyRJ+rWfYRhd\np4DUOzgURWEYRtf+ZVm2vLy8ypnc6iw4pk6dqn6wHD16dOHCha+//nrLli1NJpPBYCgsLOzT\npw8AFBYWEkJSU1MFQdBUrmvjEULh6BscycnJ6v9pgnbs2JFerRgyZEhubq7JZOJ5fsGCBYMH\nD7bb7VGUI4Rir84mnZ4wYYIkSTNnzmQYJiMjY9KkSdGVI4Rij+g9KXadcLlc4a4dms1ms9lc\nWlqq3zlwYmLi5cuXdarcYDDYbLaysjL9rr/a7XaPx6PfNY7ExES/3+92u/WoHwAsFouu1zgc\nDocsy8XFxTrVLwgCwzC69i/P806ns8r3frNmzcI9hD9yQwhphsGBENIMgwMhpBkGB0JIMwwO\nhJBmGBwIIc0wOBBCmmFwIIQ0w+BACGmGwYEQ0gyDAyGkGQYHQkgzDA6EkGYYHAghzTA4EEKa\nYXAghDTD4EAIaYbBgRDSDIMDIaRZ4xxzVBRFOs/d1QghDMPQeaF02jrLsvrN9hSD9tP6daoc\nAFiWVRRFv00wDKMoiq79C1VNdFYThBBCiK77hxBSZftlWeZ5PtyjdTbKua7KysoiD1bs8Xh0\nHaxYv5Fs6WDFPp+vQQ9WHAgEcLDicGIzWHFJSQkOVowQiikMDoSQZhgcCCHNMDgQQpphcCCE\nNMPgQAhphsGBENIMgwMhpBkGB0JIMwwOhJBmGBwIIc0wOBBCmmFwIIQ0w+BACGmGwYEQ0gyD\nAyGkGQYHQkgzDA6EkGYYHAghzXQfc9Tr9b7//vu7d+9mGOa2227785//rI71unjx4m3btomi\nmJmZmZ2dLQhCFOUIodjT/Yhj3rx5x48ff/XVV59//vmtW7euWLGClufl5e3evXvatGnTp08v\nKChYtGhRdOUIodjTNzguX768a9euRx99NCUlpWvXrvfcc8+mTZsAwOfzbdiwYeLEiV26dElL\nS8vJydm8ebPL5dJarmvjEULh6HuqkpCQsGDBglatWtFFWZbpbBHHjh0LBALp6em0PD09XVGU\nI0eOxMXFaSrv06ePru1HCFVK3+AghLRp0wYAJEk6dOjQunXrhg8fDgBOp5PjOKvVSldjWdZm\nszmdTr/fr6lc3dDZs2d37dqlLvbq1SsxMbHSJnEcBwA8z4ebsanmCCH6XX+h7ec4Tr9NMAxj\nNBp1mhCIEAIALMvquovotFU61Q86dzHP87rWT/eMIAiR51WJ/GiMJmSaNm3a4cOHk5KSbrrp\nJgDw+/0GgyF0BZ7nRVHUWq4uHjlyZNasWeriwoUL27ZtG6E9JpOpJk+nSnFxcbrWbzAYKuyQ\n2mU2m/WrHAA4jtN1F0WYgqxWEEJi0MW61m+xWCKvEHlGrhgFx4wZMyRJWrly5bPPPjt//nyj\n0VhhpjVRFI1Go9ZydbFr166vvfaauti6detwE4UZDAaj0VheXh4MBmvhiVUmLi7O4/HoVDnH\ncSaTye/36zdTmdls9vl8+h1xxMXFBYPB8vJyPeoHAKPRKEmSrv2rKIrX69WpfnrEoWv/sizr\n8XiqPOKw2WzhHo1RcNBPsEcffXTz5s27du1KTU0VRdHj8dDYliTJ7XY7HA6z2aypXK2/efPm\nWVlZ6qLL5fL7/ZW2hN4M1nWKQIvFEm7rNacoislkkiRJv00IghAIBPSbAhIAdG0/x3G69i8N\nDv3aT8+zdO1flmX9fn9NptfV965KYWHh/fffX1JSQhf9fj89UkhJSTEYDIWFhepqhJDU1FSt\n5bo2HiEUjr5HHJ06dbLb7W+99daECRMkSfrwww9tNltGRobRaBwyZEhubq7JZOJ5fsGCBYMH\nD7bb7QCgtRwhFHukJocr1VFUVPTBBx8cOHCAZdnrr7/+4YcfTkpKAgBRFN9///38/HyGYTIy\nMiZNmkSvBmktr5TL5Yo8W31paamus9VfvnxZp8rpbPVlZWUNerZ6v9+Ps9WHE5vZ6p1OZ01m\nq69ucASDwaNHjzqdTkJIUlJSSkqKrre7agiDoyYwOCLD4IDqXOP44YcfRo4cGR8fn5aWlpmZ\nmZGR0blz54SEhPHjxx84cEBzqxFCDV8V1zjmzZv39NNPy7LcvXv3Hj16OBwOURSLiop27969\nYsWKVatWzZs37y9/+Uts2ooQqiciBcemTZueeuqp9u3br1y5sn///hUe3bJly6RJk3JyctLT\n0wcMGKBnIxFC9UukU5U5c+YYjcb//Oc/V6cGAAwaNOirr75iWfbtt9/WrXkIofooUnD88MMP\nmZmZnTt3DrdCp06dMjIyQn8kghBqCiIFR0lJCf2JWgTt27cvKiqq1SYhhOq7SMERDAar/Ime\nIAjhbnwihBqr+vtdDIRQvVXF7diSkpLDhw9HXqFW24MQagCqCI5Vq1atWrUqNk1BCDUUkYLj\nsccei1k7EEINSKTg+Ne//hWzdiCEGpBoflbv9/sPHDhgMBi6du1Kx8VBCDUpVdxV8Xg8r776\nar9+/dTfAm7cuLFdu3a9e/fu3r17586dt2/frn8jEUL1S6QjjrKysptvvnnfvn10EM2EhIRT\np06NHDlSFMWpU6fa7fYFCxYMHTq0oKCgU6dOMWsxQqjORTrimDt37r59+55//vni4uLk5GQA\nmDNnjsfjmTt37htvvPHiiy9u3LgxEAjMnj07Vq1FCNULkY441qxZc911182aNYvOhQEA//73\nv81m84QJE+hienp6//79N27cqHszEUL1SaQjjqNHj/bq1UtNjaNHj548efLmm28OnZSkQ4cO\nFy5c0LeNCKF6JlJwyLKspgYAbNmyBQAGDx4cuk5JSUmEyRcQQo1SpFOVTp06/fTTT+ri+vXr\nAWDo0KFqic/n2759e5cuXfRrX3TMZnO4IVFpFNKpMXTaOsMwCQkJOlVO2y8IQuh8VLWLYRi9\nPwwMBoN+u4hOYalf/xJCWJbVtYsJIbr2LwDEx8dHXi3yjFyRgmP06NHTp0+fPXt2Tk7Oxo0b\nN2zYcMMNN1x//fXqCn//+99LSkrGjBmjpdmxUFZWFnmwYo/Ho+tgxfqNZEsHK/b5fA16sOJA\nIICDFYcTm8GKS0pK9BqseOrUqb17937hhRfsdvvo0aMFQcjNzaUPLVmypFevXvPmzevRo8fk\nyZOjaD1CqOGKdMRhNpvz8/OXLl26a9cuh8Px6KOPXnfddfShzZs3//zzz9nZ2XPmzNF7dlyE\nUH0T5YRMTqfTarXW28jAeVVqAudViaxxnKrUcF6VKKeADJ3wGSHU1OAIYAghzTA4EEKaYXAg\nhDTD4EAIaYbBgRDSDIMDIaQZBgdCSDMMDoSQZhgcCCHNMDgQQpphcCCENMPgQAhphsGBENIM\ngwMhpBkGB0JIsyjH46i+kpKSxYsX79+/PxgMpqWlTZo0qWXLlgAgSdLixYu3bdsmimJmZmZ2\ndrYgCFGUI4RiT/cjjtmzZ587d+6ll16aPXu2oigvv/yy3+8HgLy8vN27d0+bNkj4AMoAABon\nSURBVG369OkFBQWLFi2i62stRwjFnr7Bcfr06UOHDj3xxBOpqant2rV75plnLly4cOjQIZ/P\nt2HDhokTJ3bp0iUtLS0nJ2fz5s0ul0trua6NRwiFo29wOByO2bNn03ln4cqcIOXl5ceOHQsE\nAunp6bQ8PT1dUZQjR45oLde18QihcPS9xmEymbp27aoufvrpp4IgdOvWbd++fRzHWa1WWs6y\nrM1mczqdfr9fU7la87Fjx7744gt1cfjw4ddcc02lTeI4DgAEQeB5vlaf6+8IIRaLRafKWZYF\nAJ7ndd2EyWTSaUIj+uHBcZx+7ed5nmEY/foXABiG0XX/x+AlZDabI68W/YRMtWvnzp2rV6+e\nMmVKXFyc3++vMEI6z/OiKGotVxdPnDiRl5enLvbt2zclJSVCY/Qenz10el098Dyv6xtD7wvP\nNJv0q59+POgqBl2sa/1Vtj/yMPcxCo5vvvlmwYIFDzzwQFZWFgAYjcYK0xeIomg0GrWWq4vd\nu3dfuHChupicnBzuCojRaBQEwev1BoPBmj+vStlsttLSUp0q53nebDb7fD56jVkPFovF5/Pp\nNz2C1WoVRVG/4f8FQZAkKdz8GDVns9kURdFvegeDwcAwjM/n06l+i8XCcVxpaWmVB5V2uz3c\nQ7EIjjVr1ixfvvyxxx4bNmwYLXE4HKIoejyeuLg4AJAkye12OxwOs9msqVzdRGJiYp8+fdTF\nCPOq0CDX9YWlKIp+ldNDfVmW9W6/fsEBOrffYDAEg0H96gedu5hlWV3rp3khimJNzkZ1vx37\n2WefrVix4rnnnlNTAwBSUlIMBkNhYSFdLCwsJISkpqZqLde78QihSul7xHHmzJmlS5dmZmYK\ngrB3715a2LZt22bNmg0ZMiQ3N9dkMvE8v2DBgsGDB9PjIq3lCKHY0zc4vv32W0mS8vPz8/Pz\n1cIpU6YMGTJkwoQJkiTNnDmTYZiMjIxJkybRR7WWI4RiL8q5Y+s5nDu2JnDu2Mhw7ljAH7kh\nhKKAwYEQ0gyDAyGkGQYHQkgzDA6EkGYYHAghzTA4EEKaYXAghDTD4EAIaYbBgRDSDIMDIaQZ\nBgdCSDMMDoSQZhgcCCHNMDgQQpphcCCENMPgQAhphsGBENIsdhMyxRIhhE4jEHkdXRugd816\nb0Kn+tXKdW2/rvWrW9G18nre/sY55mggEKDzd1yNYRiGYSRJ0u+Jcxyn32xPhBCWZWVZjjxD\nX02wLKvTgKMUx3GKoui3CYZhFEXRtX/1bj9UNQNjTdApJqt8icqyHGHCw8Z5xFFeXh55sGKv\n16vrYMUlJSU6VU4HK/b5fA16sOJAINDQByvWr4tjM1ixy+XCwYoRQjGFwYEQ0gyDAyGkGQYH\nQkgzDA6EkGYYHAghzTA4EEKaYXAghDTD4EAIaYbBgRDSDIMDIaQZBgdCSDMMDoSQZhgcCCHN\nMDgQQpphcCCENMPgQAhphsGBENIMgwMhpFnsxhydNWtW586dR48eTRclSVq8ePG2bdtEUczM\nzMzOzhYEIYpyhFDsxeKIQ5bl3NzcXbt2hRbm5eXt3r172rRp06dPLygoWLRoUXTlCKHY0z04\nzpw58/zzz3/33Xd2u10t9Pl8GzZsmDhxYpcuXdLS0nJycjZv3uxyubSW17x5vqNHPdu3lx85\nUvOqEGo6dD9VOXToUIcOHV588cUXXnhBLTx27FggEEhPT6eL6enpiqIcOXIkLi5OU3mfPn1q\n0rbLH33k2b2b/t90/fVJDz8MOs+Cg1DjoHtwZGVlZWVlVSh0Op0cx1mtVrrIsqzNZnM6nX6/\nX1O5WuEvv/yyZs0adXHMmDHJycmVtofjOAAQBEE6fVpNDQAoLyiAkyfjunat6RMGIITExcXV\nvJ5K0dl6DAZDuBmnao5lWbPZrNOERnQCMY7j9NtFHMexLBthMqGaYxhGv/bTCZN07V8AsFgs\nkVeLPCNU3UzI5Pf7K/Qrz/OiKGotVxfPnDmzbt06dTErKys1NTVCAwwGg/vSpQqF8sWLtXXB\nVe8LtxzH0QTUidFo1K9yAGBZlr58G64YdLGu9VfZ/sgzctVNcBiNxgozrYmiaDQatZari716\n9Vq2bJm66HA4wk20JQiCIAherzdos1V4KBgfXyvTc9lsttLS0prXUyme5y0Wi8/n8/l8Om0i\nLi6urKxMpykIGYax2WyiKHq9Xj3qBwCTyRQMBsNN5VdzdrtdURT9upgeTuravxzHVTmTm6Io\nCQkJ4R6tm+BwOByiKHo8Hnq8J0mS2+12OBxms1lTuVqh1WpNS0tTF10uV7jXDX0/SJLEtmlj\n6dvX+/33tNzco4chJaW25nzVb+5YdWJR/TZBJ0bVbwpI0Ln9sixLkqRf/QCgKIp+9dNjDV37\nl9Zfk7PRugmOlJQUg8FQWFhIr24WFhYSQlJTUwVB0FRew2Y47r03rm/fwJkzhlatjCkpNX9e\nCDURdXaqMmTIkNzcXJPJxPP8ggULBg8eTO/Xai2vaUs6dDB26CCXl3v37IFgULj2WjY+vubV\nItS41dls9RMmTJAkaebMmQzDZGRkTJo0KbrymgteunRh3jzJ7QYAwvPNHnnEdO21tVU5Qo0S\n0emuW92KcI3DbDabzebS0tJAIEBLLn34Ydm+feoKfIsWrZ5/viZbT0xMvHz5ck1qiMBgMNhs\ntrKysrKyMp02YbfbPR6Pftc4EhMT/X6/2+3Wo34AsFgsoiiq/VvrHA6HLMvFxcU61S8IAsMw\nuvYvz/NOp7PK936zZs3CPYQ/cgPxwoU/LBYViefP11VjEGoQMDiAb9HiD8uKcu7//T/nypXQ\nGI/FEKoVGBwQP3w4e+U7qSrvDz949+6tk/YgVP9hcADXrFmradNsQ4ZUKPcfP14XzUGoAcDg\nAABgTCZrv34VCj07dlx4+22xqKhOmoRQfYbB8Rs2IcHSu3eFQv/x486lS+uiOQjVaxgcv3Pc\nd1+zBx/kkpJCCwPnzpUXFuKFUoRCYXCEIMTco4fQqVOF4ovvvVe0cKGi24+mEGpwMDgqslQ2\nOJDv6NGzr7ziXLFCqo2fzyLU0NXZV87rLWP79s1zcko3bfIdPhxaLnm93h9/LNu3j7VaLX36\n2IYOJboNtYJQPYcv/UoInTolZWeTykZSUSQpWFLi+vrrSx984DtyBK99oKYJg6NyhGXtQ4dG\nWKG8sLDoX/+6tHQpXvtATRAGR1i2rKykxx+39OwZYZ2ygoLTzz9/ackSSbfxrBCqh/AaRySm\na681XXutqWvXki+/DDqdUNloeooslxUUiBcv2m65xdS9O0gSJCbGvqkIxRIGR9XMPXqYe/RQ\nRNH1n/94f/hBqmywSfHcOefHH8PHHwOAs127+Hvv5Vu2jHlLEYoRPFWpLsLz8SNGtH7llUrv\n14YqP3Hi4uLFUm3MF4VQ/YRHHJo57rsvrn9/765dnisDHV8tePHimRkzuObN+RYtDG3bGjt0\nYE0mvlUrnPAJNQ4YHNEwtm9vbN/e2KmT57vv/MeOhVstWFQULCoqP3CALhratIn/058MycmM\nyRSrliKki8YZHAzDhJvPhg7Pz7JszSe8sffrZ+/Xz5Wff/nTT5VqDGYfOH266N13CcvySUlc\nfDzXogVrNvPNmlluvJGwbDUPRug8RhGeYM0RQuhkYnpUTve/ru1nGKZW+jcCQoiu7de7fwGA\n47gq51WJVEmjHHPU7/eHm0GPvqpqOKlEBeKlS+UnTwa9Xk9BgWvPHg1/qSj0bQqEmJKThbZt\nuYQE1miU/H5LaqrQpg3D88wfZ9yi7ZckSacJkwCA4zhJkvSbApLjODr1iR71AwDLsoqi6Ld/\neJ7XdV4VhmEIIfrtH47jCCFVTlgly3KECf0aZ3BoGqy4dhWvXevesaPWqiOEczhYq5Vv3pxv\n2ZIxmczt2xuCQcVmEw0GRRQZHWYwxcGKI8PBiqGxnqrUoYSRIxPS0pz79olFReLp00oNP/cU\nJXjpUvDSJf+vv9KC3yfaJgQUhTGZCMMwVquhTRs2Pp5v0QIUhTEauaQkqbSULiqKwuFXS1Ct\nwuCobYQkZmZCly4AoPj9kscTvHy57MCB8n37JI+nNjekKAAgl5cDgOT1Rh6ZnbVaWauVxMUx\nBoPCMJzZDISwZjNjtSrBIN+qlRIMMoLAtWqleDyyICjBoCJJlf5aByHA4NAVMRo5o5FzOITU\nVHn4cPeOHcHz5wPnzwfPn1dkOZY/kJPcbqk6pwaEgKKcY1kiy8AwbHw8IwiM2UxYFjiOjYsj\nLMtYLMRkAlHkHA7J62VMJmIwyB4PTR/CcVxSkux2s/HxhOMUSWJ0ntUd1QkMjhhhBMGelfXb\ngiQpsiy5XIEzZ6RLl8oOHZKKi6XS0urcmomeolR944ZmmSQpACBJQaezWn9VASG//ZWiAABj\nMsmBAD2lUoJB1mw+oyiM0ahwHCEEOA4UhbAsa7EohLAmk8IwRFGIICh+PxMXBzxPJIl1OBS/\nn7FYCMfJXi/XvLnsdhODgbFYpOJirkULpbxcURTDNdfI5eWKINBZofGIST+4Z+sCyxKW5Zo1\n45o1AwDrrbcCgFxeHjh9mrFYFL8/6HJJly75jx+XPJ7ghQuyz6e+D6MX3e3VKP6KtvNKa+nJ\nlHzlNE0uK4smjCJTdw7LgiQRlqUNIIKg+HxEEIAQei6mBAKE44DjIBgkZjPDssAwwHEgy4wg\nAMcRhiEcB5JEjEZgGJBlxmIBWSY8T3he9vlYqzXAccAwfkWRy8pYmw1kWZEkNj5eKinhbDaF\nELm8nGvZUna7GZOJMZulkhK+RQvJ4yEsy9hs0uXL9GANJIlzOKTiYtZuB0IUn4+Njw+6XHJC\nAjEaZa+XsVhkn4/heWBZxe8n9B5Hre+9qGBw1BeMySSkptL/V7gJJnm9BKD80CFQFFZRiMsl\niqLv4kXZ55O9XsnlkgMBxeeLfZujVOuvezVSJQkAlCv3g5SyMvVfUBTJ7//DX0VxW6eW3rSE\nXLmbyTAgy7/VqSg0+IAQwjCKJBGeV0SREAI8rwQCjNEIsqwoCmM0yj7fb9EWDNIzR8LzwDCK\nKP52bsiyhOMUWWbpIsMAwyjBIOH5YqORYRi2UydL376/hax2GBwNAGuxAIClVy8IP3ds4NQp\nye1mLRb/qVOE42SfTyopIQwTdLtlt1ssKpKKi4nBoNCblPT12qTUSlrVUuT9fh+U9sIfgw8U\nhWYfHepFURQIBABAvhJ8UjAIaiACwB8/Myr8CPPqbyX8tva+fWJRUcLdd0f3FDA4GglDcvJv\n/2nXrvI1JAlYVvJ6lUCANZsD58+zVmvw0iXZ6yUGg3juHBAieTyy280R4ne5ZJ8v6HLJpaXE\naFT8fgj9nESNgufbb+P/9KfoDjowOJoMlgV68GKxAICxXTsAUL/fYeraVV0x9Atg9BKj7POB\nJAHDiOfPc3a7ePmyUlbGxscHzp9nTSZFUaTSUsZk+u2WsChKHg8oilRergQCEAxKZWWEZRVJ\ngkAAOE4pKwOWVQIBORBgBEH2++m3oBV60E6zqebXdOpW/bgSARCpJUowqIgiBgeqffTGhHpL\n1dihAwCwV+LG0Lat1gpDvzmqiCI9jaen31JxMZeQECwuBllmrNZgURFjt0vFxbLPx8XFBc6d\nY8xmJRiUvV4mLi5YXMxwHDCM5HYzgiB7vUowKPt8ksvFcZwUCEiBACFE9vkIx8mSpAQCzJVt\ngaLI5eUMz9Nx22gyEoNBEUVQFMJxSjD4+9lcdBFWT1IDIrXE2K5d1DfLMThQnSE8//u/LMu0\nbAkA6gBIdCZw/sq3ng0dOlSzWg1fOb9ydEMjTC4vV4JBeouXjYuTAwHJ4+Hi48ULFxhBIBwn\nOp18UpJZFIEQjyQFL17kEhMll0sRRdZmC168yFitit8veb1sXFzw0iViNIIsyx4PodEGwHCc\nXFZGBAGCQSUYBJaVy8oIxymiqAQChGUlUeQMBpAksayM8DyIokIPx2i8BgKKohBClEAAWBZk\nWaEHceXlwPNEUeRAgDEY5LIyhWVBURSfjxEExe9XFIVe4aJfrgFFMSQnO+6/X2OP/Q6DAzVh\nVz6NaXipwx1wDgcAsEYjDS9j+/a/ldPb5w6HLMuB4mJDq1YAAG3a0EeNHTvWSqNq8bcq9EyT\nXmQlPC97vYzZbBUEVlFcoliTK1Y4AhhCjRY906RfQgEAxmIBQhhB4Gy2GtaMwYEQ0gyDAyGk\nGQYHQkgzDA6EkGYYHAghzTA4EEKaYXAghDRrcj9b2r59+/bt28eNG5eSklLXbYnGL7/8smbN\nmoEDB95000113ZZolJaWvvPOO9ddd93IkSPrui1Rmjt3rslk+stf/lLXDYnSypUrjx8/PnXq\nVIPBEHUlTe6I49ChQ+vWrbtw4UJdNyRK58+fX7du3eHDh+u6IVEqLy9ft27d7t2767oh0fvi\niy82btxY162I3o4dO9atW1fD6R2aXHAghGoOgwMhpBkGB0JIsyZ3cRQhVHN4xIEQ0gyDAyGk\nGQYHQkizJjQCmCRJixcv3rZtmyiKmZmZ2dnZQkOYnbCkpGTx4sX79+8PBoNpaWmTJk1q2bIl\nABw+fPi5554LXXP58uW2Gg/QUuvCtbNBdMeuXbtmzZpVofC+++677777GsT+nzVrVufOnUeP\nHk0Xw+3zKPqiCQVHXl7e7t27p02bRgh58803Fy1a9OSTT9Z1o6o2e/ZsWZZfeuklg8GQl5f3\n8ssvz58/32g0njhxonnz5k888YS6psViqcN2hhOunQ2iO9LS0v75z3+qi99///3XX3/dv39/\nCP+86glZlt97771du3Z17txZLQy3z6PpC6VpKC8vHzVq1LfffksX9+/ff9ddd5WUlNRtq6p0\n6tSpP/3pTydOnKCLbrf7zjvv3Ldvn6IoixYt+p//+Z86bV21VNrOhtgdly9fvv/++zds2EAX\n6/P+P3369LPPPvvQQw+NHz9+9erVtDDcPo+uL5rKNY5jx44FAoH09HS6mJ6erijKkSNH6rZV\nVXI4HLNnz06+MtkSIQQAysvLAeDkyZNttc9OEHuVtrMhdseHH36YlJR0++2308X6vP8PHTrU\noUOHefPm2e12tTDcPo+uL5rKqYrT6eQ4zmq10kWWZW02m9PprNtWVclkMnUNmSrp008/FQSh\nW7duAHDy5Emj0ZiTk1NcXNy5c+dHHnlEzZd6pdJ2NrjuOHPmzObNm1966SVyZWD0+rz/s7Ky\nsrKyKhSG2+d+vz+KvmgqRxx+v7/CbwF5nhfFqyfWrL927ty5evXqSZMmxcXFud3u4uJiv98/\nefLkv//974FA4IUXXij946Sh9UG4dja47li/fn2bNm169uxJFxvK/g8Vbp9H1xdN5YjDaDRW\n2BeiKBqNxnDr1zfffPPNggULHnjgAfpJYrVa8/LyrFYrx3EAkJqa+vDDD2/btm3EiBF13dI/\nCNdOu93egLpDkqT8/Pxx48aphxsNZf+HCvcWiO6t0VSOOBwOhyiKHo+HLkqS5Ha7HQ5H3baq\nmtasWfPOO+88+uijo0aNUgsTEhLoqxYAzGZzUlJS/TzUr7SdDas7Dh486PV6KwyA0lD2vyrc\nPo+uL5pKcKSkpBgMhsLCQrpYWFhICElNTa3bVlXHZ599tmLFiueee27YsGFq4cGDB8eOHVtU\nVEQX3W73hQsX2oWbp77uhGtnw+qOgwcPtmrVqnnz5qElDWL/hwq3z6PriyZ0qjJkyJDc3FyT\nycTz/IIFCwYPHhx6zbl+OnPmzNKlSzMzMwVB2Lt3Ly1s27ZtampqQkLC22+/nZ2dLcvykiVL\nmjdvPmDAgLpt7dXCtZNl2QbUHceOHevUqVNoSUPZ/6EivAWi6Ism9OtYURTff//9/Px8hmEy\nMjImTZpUk6HTYmP16tXLli2rUDhlypQhQ4acP39+yZIlP//8czAY7NGjR3Z2drMr8zPXK+Ha\n2YC645lnnrn++usffvjh0MIGsf+nTJkycOBA9Zuj4fZ5FH3RhIIDIVRbmso1DoRQLcLgQAhp\nhsGBENIMgwMhpBkGB0JIMwwOhJBmGBwIIc0wOJAuHn/8cRKCYZi4uLgbb7xxzpw5siyHrunz\n+f71r39lZGQ0a9ZMEISuXbu++uqrXq+3rlqOqqOpfOUc1Ylx48bFx8cDgKIoHo9ny5YtU6dO\nPXHixLx58+gKJ0+evPvuu/ft29etW7e7776b47idO3dOnz79888/37JlizpIBKp3dBi4DCHl\nscceA4BDhw6FFrpcrpSUFIZhTp06pSiKKIo9e/ZkWXbx4sXqOrIsv/zyywAwfvz4WDcaVRue\nqqDYsdls9Fdh27dvB4DFixfv2bNn2rRpEyZMUNchhLzyyis9e/b8+OOPz507V3eNRZHgqQqK\nKXrmQkd/WLlyJSHkqaeeunq15cuXGwyGVq1axbp9qHowOFBM7dy5EwDomP0//vjjddddV+mP\nSq+77rpYtwxpgcGBYkGSpDNnzixbtmzFihWdOnXKzMx0u91er7d169Z13TQUDQwOpKO0tLQK\nJc2bN//4449ZlmVZFgCCwWBdtAvVFAYH0pF6O5ZhGJvN1q1bt7vuuisuLg4AzGazzWbDy58N\nFAYH0tGMGTMiXK3IzMz88ssvi4qKQofzpJYsWbJw4cLXXnvt1ltv1bmNKBp4OxbVmVGjRimK\nMn/+/ArlsiwvWrToxx9/bNGiRZ00DFUJgwPVmQcffLBr166vv/76ihUr1MJAIPDXv/51165d\no0ePVuclRPUNnqqgOsNx3Lp162677bbx48e/8cYb/fv39/l8+fn5v/766w033JCbm1vXDURh\n4REHqkudO3fes2fPK6+8AgAff/zxRx99FBcXN2vWrO+++y4xMbGuW4fCwlHOEUKa4REHQkgz\nDA6EkGYYHAghzTA4EEKaYXAghDTD4EAIaYbBgRDSDIMDIaQZBgdCSDMMDoSQZhgcCCHN/j8+\ntdOUcim4IQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p_elbow_control <- elbow_plot(datafr_filtered,num_pcs = 100, title = 'PCA on the raw count')\n",
    "p_elbow_control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "fm_control = run_pca(datafr_filtered,num_pcs = 50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>50</li>\n",
       "\t<li>2034</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 50\n",
       "\\item 2034\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 50\n",
       "2. 2034\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   50 2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tbody>\n",
       "\t<tr><td>-18.245435  </td><td>-16.3633746 </td><td>-15.79409738</td></tr>\n",
       "\t<tr><td>  2.451703  </td><td> -0.4154084 </td><td> -0.05161358</td></tr>\n",
       "\t<tr><td> -4.566364  </td><td>  1.3013334 </td><td>  1.70120044</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{lll}\n",
       "\t -18.245435   & -16.3633746  & -15.79409738\\\\\n",
       "\t   2.451703   &  -0.4154084  &  -0.05161358\\\\\n",
       "\t  -4.566364   &   1.3013334  &   1.70120044\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "| -18.245435   | -16.3633746  | -15.79409738 |\n",
       "|   2.451703   |  -0.4154084  |  -0.05161358 |\n",
       "|  -4.566364   |   1.3013334  |   1.70120044 |\n",
       "\n"
      ],
      "text/plain": [
       "     [,1]       [,2]        [,3]        \n",
       "[1,] -18.245435 -16.3633746 -15.79409738\n",
       "[2,]   2.451703  -0.4154084  -0.05161358\n",
       "[3,]  -4.566364   1.3013334   1.70120044"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dim(fm_control)\n",
    "fm_control[1:3,1:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "end_time <- Sys.time()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Time difference of 1.586338 mins"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "end_time - start_time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>50</li>\n",
       "\t<li>2034</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 50\n",
       "\\item 2034\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 50\n",
       "2. 2034\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   50 2034"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "colnames(fm_control) = colnames(datafr)\n",
    "rownames(fm_control) = paste('PC',1:dim(fm_control)[1])\n",
    "dim(fm_control)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "TRUE"
      ],
      "text/latex": [
       "TRUE"
      ],
      "text/markdown": [
       "TRUE"
      ],
      "text/plain": [
       "[1] TRUE"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "all(colnames(fm_control) == rownames(metadata))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "saveRDS(fm_control, file = '../../output/feature_matrices/FM_Control_buenrostro2018bulkpeaks.rds')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Downstream Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "set.seed(0)\n",
    "tsne_control = Rtsne(t(fm_control),pca=F)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "library(RColorBrewer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "plot.tsne <- function(x, labels,\n",
    "         main=\"A tSNE visualization\",n=20,\n",
    "         pad=0.1, cex=0.65, pch=19, add=FALSE, legend.suffix=\"\",\n",
    "         cex.main=1, cex.legend=1) {\n",
    "  qual_col_pals = brewer.pal.info[brewer.pal.info$category == 'qual',]\n",
    "  col_vector = unlist(mapply(brewer.pal, qual_col_pals$maxcolors, rownames(qual_col_pals)))\n",
    "  layout = x\n",
    "  \n",
    "  xylim = range(layout)\n",
    "  xylim = xylim + ((xylim[2]-xylim[1])*pad)*c(-0.5, 0.5)\n",
    "  if (!add) {\n",
    "    par(mar=c(0.2,0.7,1.2,0.7), ps=10)\n",
    "    plot(xylim, xylim, type=\"n\", axes=F, frame=F)\n",
    "    rect(xylim[1], xylim[1], xylim[2], xylim[2], border=\"#aaaaaa\", lwd=0.25)  \n",
    "  }\n",
    "  points(layout[,1], layout[,2], col=col_vector[as.integer(labels)],\n",
    "         cex=cex, pch=pch)\n",
    "  mtext(side=3, main, cex=cex.main)\n",
    "\n",
    "  labels.u = unique(labels)\n",
    "  legend.pos = \"topright\"\n",
    "  legend.text = as.character(labels.u)\n",
    "  if (add) {\n",
    "    legend.pos = \"bottomright\"\n",
    "    legend.text = paste(as.character(labels.u), legend.suffix)\n",
    "  }\n",
    "  legend(legend.pos, legend=legend.text,\n",
    "         col=col_vector[as.integer(labels.u)],\n",
    "         bty=\"n\", pch=pch, cex=cex.legend)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RAhhJBx9B5utPb25INyo7XMicH1GaQ+aejr1PQ09GZgIEQIIWQCjeBuDa8ZtQ+U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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "options(repr.plot.width=5, repr.plot.height=5)\n",
    "plot.tsne(tsne_control$Y,as.factor(metadata[,'label']))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "R version 3.5.1 (2018-07-02)\n",
       "Platform: x86_64-conda_cos6-linux-gnu (64-bit)\n",
       "Running under: CentOS Linux 7 (Core)\n",
       "\n",
       "Matrix products: default\n",
       "BLAS/LAPACK: /data/pinello/SHARED_SOFTWARE/anaconda3/envs/ATACseq_sciATAC/lib/R/lib/libRblas.so\n",
       "\n",
       "locale:\n",
       " [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              \n",
       " [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    \n",
       " [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   \n",
       " [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 \n",
       " [9] LC_ADDRESS=C               LC_TELEPHONE=C            \n",
       "[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       \n",
       "\n",
       "attached base packages:\n",
       "[1] stats     graphics  grDevices utils     datasets  methods   base     \n",
       "\n",
       "other attached packages:\n",
       "[1] RColorBrewer_1.1-2 ggplot2_3.1.1      umap_0.2.0.0       irlba_2.3.2       \n",
       "[5] Rtsne_0.15         proxy_0.4-22       Matrix_1.2-17      data.table_1.12.2 \n",
       "\n",
       "loaded via a namespace (and not attached):\n",
       " [1] Rcpp_1.0.1       compiler_3.5.1   pillar_1.3.1     plyr_1.8.4      \n",
       " [5] base64enc_0.1-3  tools_3.5.1      digest_0.6.18    uuid_0.1-2      \n",
       " [9] jsonlite_1.6     evaluate_0.13    tibble_2.1.1     gtable_0.3.0    \n",
       "[13] lattice_0.20-38  pkgconfig_2.0.2  rlang_0.3.4      IRdisplay_0.7.0 \n",
       "[17] IRkernel_0.8.15  withr_2.1.2      repr_0.19.2      dplyr_0.8.0.1   \n",
       "[21] grid_3.5.1       tidyselect_0.2.5 reticulate_1.12  glue_1.3.1      \n",
       "[25] R6_2.4.0         pbdZMQ_0.3-3     purrr_0.3.2      magrittr_1.5    \n",
       "[29] scales_1.0.0     htmltools_0.3.6  assertthat_0.2.1 colorspace_1.4-1\n",
       "[33] labeling_0.3     lazyeval_0.2.2   munsell_0.5.0    crayon_1.3.4    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sessionInfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "save.image(file = 'Control_buenrostro2018bulkpeaks.RData')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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   "name": "conda-env-ATACseq_sciATAC-r"
  },
  "language_info": {
   "codemirror_mode": "r",
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