prior/2-prior-viz.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "library(magrittr)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "treatment_df = readr::read_tsv('../summary/indications.tsv') %>% \n",
    "  dplyr::filter(rel_type == 'TREATS_CtD') %>%\n",
    "  dplyr::select(compound_id, disease_id) %>%\n",
    "  dplyr::mutate(status = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "degree_prior_df = readr::read_tsv('data/degree-prior.tsv') %>%\n",
    "  dplyr::mutate(Empiric = n_treatments / n_possible, Permuted = prior_perm) %>%\n",
    "  dplyr::mutate(logit_prior_perm = boot::logit(prior_perm)) %>%\n",
    "  dplyr::mutate(prior_theoretic = compound_treats * disease_treats) %>%\n",
    "  dplyr::mutate(prior_theoretic = prior_theoretic / sum(prior_theoretic)) %>%\n",
    "  dplyr::mutate(logit_prior_theoretic = boot::logit(prior_theoretic))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>compound_treats</th><th scope=col>disease_treats</th><th scope=col>prior_perm</th><th scope=col>prior_perm_stderr</th><th scope=col>n_treatments</th><th scope=col>n_possible</th><th scope=col>Empiric</th><th scope=col>Permuted</th><th scope=col>logit_prior_perm</th><th scope=col>prior_theoretic</th><th scope=col>logit_prior_theoretic</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>1</td><td>0.00116183</td><td>5.44733e-07</td><td>5</td><td>3612</td><td>0.001384275</td><td>0.00116183</td><td>-6.756596</td><td>1.537232e-05</td><td>-11.08293</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>1</td><td>2</td><td>0.00234128</td><td>1.29275e-06</td><td>3</td><td>1290</td><td>0.002325581</td><td>0.00234128</td><td>-6.054713</td><td>3.074464e-05</td><td>-10.38976</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllll}\n",
       "  & compound_treats & disease_treats & prior_perm & prior_perm_stderr & n_treatments & n_possible & Empiric & Permuted & logit_prior_perm & prior_theoretic & logit_prior_theoretic\\\\\n",
       "\\hline\n",
       "\t1 & 1 & 1 & 0.00116183 & 5.44733e-07 & 5 & 3612 & 0.001384275 & 0.00116183 & -6.756596 & 1.537232e-05 & -11.08293\\\\\n",
       "\t2 & 1 & 2 & 0.00234128 & 1.29275e-06 & 3 & 1290 & 0.002325581 & 0.00234128 & -6.054713 & 3.074464e-05 & -10.38976\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "Source: local data frame [2 x 11]\n",
       "\n",
       "  compound_treats disease_treats prior_perm prior_perm_stderr n_treatments\n",
       "            (int)          (int)      (dbl)             (dbl)        (int)\n",
       "1               1              1 0.00116183       5.44733e-07            5\n",
       "2               1              2 0.00234128       1.29275e-06            3\n",
       "Variables not shown: n_possible (int), Empiric (dbl), Permuted (dbl),\n",
       "  logit_prior_perm (dbl), prior_theoretic (dbl), logit_prior_theoretic (dbl)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "degree_prior_df %>% head(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "width = 3\n",
    "height = 3\n",
    "options(repr.plot.width=width, repr.plot.height=height)\n",
    "gg_scatter = degree_prior_df %>%\n",
    "  ggplot2::ggplot(ggplot2::aes(logit_prior_theoretic, logit_prior_perm)) +\n",
    "  ggplot2::geom_point(alpha = 0.1, shape = 16) +\n",
    "  ggplot2::theme_bw() +\n",
    "  ggplot2::coord_equal() +\n",
    "  ggplot2::xlab('Logit of the Theoretic Prob') +\n",
    "  ggplot2::ylab('Logit of the Permuted Prob')\n",
    "\n",
    "gg_scatter\n",
    "ggplot2::ggsave('viz/scatter-theoretic-v-perm.png', gg_scatter, dpi = 300, width = width, height = height)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#lm(logit_prior_perm ~ logit_prior_theoretic, data = degree_prior_df) %>% summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plot_tiles <- function(df, scale_name='') {\n",
    "  gg = ggplot2::ggplot(df, ggplot2::aes(x = disease_treats, y = compound_treats, fill = prior)) +\n",
    "  ggplot2::geom_tile() +\n",
    "  viridis::scale_fill_viridis(scale_name) +\n",
    "  ggplot2::theme_bw() +\n",
    "  ggplot2::coord_equal() +\n",
    "  ggplot2::theme(\n",
    "    legend.position='top',\n",
    "    legend.key.width=grid::unit(0.85, 'inches'),\n",
    "    legend.key.size=grid::unit(0.12, 'inches')\n",
    "  ) +\n",
    "  ggplot2::xlab('Disease Degree') +\n",
    "  ggplot2::ylab('Compound Degree') +\n",
    "  ggplot2::scale_x_continuous(expand=c(0, 1)) +\n",
    "  ggplot2::scale_y_continuous(expand=c(0, 1)) +\n",
    "  ggplot2::theme(plot.margin = grid::unit(c(2,2,2,2), 'points'))\n",
    "  return(gg)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "width = 6\n",
    "height = 4.5\n",
    "options(repr.plot.width=width, repr.plot.height=height)\n",
    "\n",
    "gg = degree_prior_df %>%\n",
    "  tidyr::gather(kind, prior, Permuted, Empiric) %>% \n",
    "  plot_tiles('Prob') +\n",
    "  ggplot2::facet_grid(kind ~ ., 'Probability') +\n",
    "  ggplot2::theme(strip.background=ggplot2::element_rect(fill='#FEF2E2'))\n",
    "\n",
    "ggplot2::ggsave('viz/prob-tiled-empiric-v-perm.png', gg, dpi = 300, width = width, height = height)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "gg = degree_prior_df %>%\n",
    "  tidyr::gather(kind, prior, Permuted, Empiric) %>% \n",
    "  dplyr::mutate(prior = log(0.01 + prior)) %>%\n",
    "  plot_tiles('log(0.01 + Prob)') +\n",
    "  ggplot2::facet_grid(kind ~ .) +\n",
    "  ggplot2::theme(strip.background=ggplot2::element_rect(fill='#FEF2E2'))\n",
    "\n",
    "ggplot2::ggsave('viz/log-prob-tiled-empiric-v-perm.png', gg, dpi = 300, width = width, height = height)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# obs_prior_df = obs_prior_df %>% \n",
    "#   dplyr::left_join(treatment_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
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     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "width = 6\n",
    "height = 2.75\n",
    "options(repr.plot.width=width, repr.plot.height=height)\n",
    "\n",
    "gg_tile_logit = degree_prior_df %>% \n",
    "  dplyr::mutate(prior = boot::logit(prior_perm)) %>%\n",
    "  plot_tiles('logit(Prob)')\n",
    "\n",
    "ggplot2::ggsave('viz/logit-perm-prior-tiled.png', gg_tile_logit, dpi = 300, width = width, height = height)\n",
    "plot(gg_tile_logit)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
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   ],
   "source": [
    "width = 6\n",
    "height = 2.75\n",
    "options(repr.plot.width=width, repr.plot.height=height)\n",
    "\n",
    "gg_tile_prob = degree_prior_df %>%\n",
    "  dplyr::mutate(prior = prior_perm) %>%\n",
    "  plot_tiles('Prob')\n",
    "\n",
    "ggplot2::ggsave('viz/perm-prior-tiled.png', gg_tile_prob, dpi = 300, width = width, height = height)\n",
    "plot(gg_tile_prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "obs_prior_df = readr::read_tsv('data/observation-prior.tsv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "width = 6\n",
    "height = 2.5\n",
    "gg_hist = obs_prior_df %>%\n",
    "  #dplyr::mutate(prior = prior_perm) %>%\n",
    "  dplyr::mutate(logit_prior_perm = boot::logit(prior_perm)) %>%\n",
    "  tidyr::gather(kind, prior, prior_perm, logit_prior_perm) %>%\n",
    "  ggplot2::ggplot(ggplot2::aes(x = prior)) +\n",
    "  ggplot2::geom_histogram(bins=100) +\n",
    "  ggplot2::facet_wrap( ~ kind, scales='free') +\n",
    "  ggplot2::theme_bw() +\n",
    "  ggplot2::theme(strip.background=ggplot2::element_rect(fill='#FEF2E2')) +\n",
    "  ggplot2::theme(plot.margin=grid::unit(c(2, 2, 2, 2), 'points')) +\n",
    "  ggplot2::xlab('Compound–Disease Prior') +\n",
    "  ggplot2::ylab('Count')\n",
    "ggplot2::ggsave('viz/prob-histograms.png', gg_hist, dpi = 300, width = width, height = height)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# gg = gridExtra::arrangeGrob(gg_hist, gg_tile_prob, gg_tile_logit, ncol=1)\n",
    "# ggplot2::ggsave('viz/combined.png', gg, dpi = 300, width = width, height = 8, device = cairo_pdf)"
   ]
  }
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