botrytis data.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import re\n",
    "import itertools as it\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "import GPy\n",
    "\n",
    "import shared"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "inp = pd.read_csv(\"../data/Botrytis_Data.csv\", index_col=[0,1], dtype=str)\n",
    "inp.index.names = ['reporter','gene']\n",
    "inp.columns = pd.MultiIndex.from_tuples(\n",
    "    [(a[1]+':'+a[2], float(re.sub(r' +hours$','',a[0])))\n",
    "     for a in [x.split(':') for x in inp.columns]],\n",
    "    names=[\"sample,replicate\",\"hours\"])\n",
    "inp = inp.astype(float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "inp2 = inp.set_index(pd.Index(b for (a,b) in inp.index))\n",
    "inp2 = (inp2 - np.mean(inp2.values)) / np.std(inp2.values)\n",
    "inp2.sortlevel(inplace=True,axis=1)\n",
    "inp2.to_csv('../data/Botrytis_Data-twoheader.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th>sample,replicate</th>\n",
       "      <th colspan=\"10\" halign=\"left\">Botrytis:A</th>\n",
       "      <th>...</th>\n",
       "      <th colspan=\"10\" halign=\"left\">Mock:D</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>hours</th>\n",
       "      <th>2</th>\n",
       "      <th>4</th>\n",
       "      <th>6</th>\n",
       "      <th>8</th>\n",
       "      <th>10</th>\n",
       "      <th>12</th>\n",
       "      <th>14</th>\n",
       "      <th>16</th>\n",
       "      <th>18</th>\n",
       "      <th>20</th>\n",
       "      <th>...</th>\n",
       "      <th>30</th>\n",
       "      <th>32</th>\n",
       "      <th>34</th>\n",
       "      <th>36</th>\n",
       "      <th>38</th>\n",
       "      <th>40</th>\n",
       "      <th>42</th>\n",
       "      <th>44</th>\n",
       "      <th>46</th>\n",
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       "      <td>-0.192032</td>\n",
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       "    <tr>\n",
       "      <th>AT1G35560</th>\n",
       "      <td>0.765180</td>\n",
       "      <td>0.525214</td>\n",
       "      <td>1.072333</td>\n",
       "      <td>1.313758</td>\n",
       "      <td>1.304460</td>\n",
       "      <td>0.983638</td>\n",
       "      <td>1.357084</td>\n",
       "      <td>0.034891</td>\n",
       "      <td>1.323026</td>\n",
       "      <td>1.444448</td>\n",
       "      <td>...</td>\n",
       "      <td>0.521010</td>\n",
       "      <td>1.296462</td>\n",
       "      <td>0.531340</td>\n",
       "      <td>1.383427</td>\n",
       "      <td>0.817044</td>\n",
       "      <td>1.054333</td>\n",
       "      <td>1.642851</td>\n",
       "      <td>1.255869</td>\n",
       "      <td>1.045798</td>\n",
       "      <td>0.521279</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G79320</th>\n",
       "      <td>-1.226133</td>\n",
       "      <td>-1.374451</td>\n",
       "      <td>-0.617979</td>\n",
       "      <td>-1.964033</td>\n",
       "      <td>-1.245514</td>\n",
       "      <td>-1.650820</td>\n",
       "      <td>-1.422798</td>\n",
       "      <td>-0.912314</td>\n",
       "      <td>-1.888771</td>\n",
       "      <td>-1.969946</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.615850</td>\n",
       "      <td>-1.473234</td>\n",
       "      <td>-1.434955</td>\n",
       "      <td>-1.403644</td>\n",
       "      <td>-0.862571</td>\n",
       "      <td>-2.300015</td>\n",
       "      <td>-1.208905</td>\n",
       "      <td>-1.333620</td>\n",
       "      <td>-1.832687</td>\n",
       "      <td>-1.379271</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G18300</th>\n",
       "      <td>-1.156067</td>\n",
       "      <td>-1.036831</td>\n",
       "      <td>-0.796430</td>\n",
       "      <td>-0.644955</td>\n",
       "      <td>-1.139068</td>\n",
       "      <td>-1.072332</td>\n",
       "      <td>-0.739485</td>\n",
       "      <td>-1.015158</td>\n",
       "      <td>-0.747595</td>\n",
       "      <td>-1.482213</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.730347</td>\n",
       "      <td>-1.508513</td>\n",
       "      <td>-1.350742</td>\n",
       "      <td>-0.285235</td>\n",
       "      <td>-0.515359</td>\n",
       "      <td>-0.725716</td>\n",
       "      <td>-0.965200</td>\n",
       "      <td>-0.629312</td>\n",
       "      <td>-0.872694</td>\n",
       "      <td>-0.937283</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G24430</th>\n",
       "      <td>-0.946795</td>\n",
       "      <td>-0.714301</td>\n",
       "      <td>-0.914190</td>\n",
       "      <td>-0.717744</td>\n",
       "      <td>-0.851772</td>\n",
       "      <td>-1.095010</td>\n",
       "      <td>-1.119871</td>\n",
       "      <td>-0.306653</td>\n",
       "      <td>-1.936993</td>\n",
       "      <td>-1.373395</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.167950</td>\n",
       "      <td>-0.936054</td>\n",
       "      <td>-0.837502</td>\n",
       "      <td>-0.996482</td>\n",
       "      <td>-0.289800</td>\n",
       "      <td>-1.225325</td>\n",
       "      <td>-0.649094</td>\n",
       "      <td>-0.818556</td>\n",
       "      <td>-0.673154</td>\n",
       "      <td>-0.646635</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G28510</th>\n",
       "      <td>0.783236</td>\n",
       "      <td>0.314319</td>\n",
       "      <td>0.549218</td>\n",
       "      <td>0.979053</td>\n",
       "      <td>0.738894</td>\n",
       "      <td>0.334388</td>\n",
       "      <td>0.463201</td>\n",
       "      <td>0.638587</td>\n",
       "      <td>0.106425</td>\n",
       "      <td>-0.029838</td>\n",
       "      <td>...</td>\n",
       "      <td>0.204014</td>\n",
       "      <td>0.701617</td>\n",
       "      <td>0.648681</td>\n",
       "      <td>-0.122875</td>\n",
       "      <td>0.350613</td>\n",
       "      <td>0.164504</td>\n",
       "      <td>0.577708</td>\n",
       "      <td>0.406476</td>\n",
       "      <td>0.378399</td>\n",
       "      <td>0.561661</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G40340</th>\n",
       "      <td>0.470927</td>\n",
       "      <td>0.125073</td>\n",
       "      <td>-0.272082</td>\n",
       "      <td>-0.255254</td>\n",
       "      <td>-0.486245</td>\n",
       "      <td>-0.457054</td>\n",
       "      <td>-0.979720</td>\n",
       "      <td>-0.317595</td>\n",
       "      <td>-0.873670</td>\n",
       "      <td>-0.948200</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.673912</td>\n",
       "      <td>-0.751446</td>\n",
       "      <td>-0.833152</td>\n",
       "      <td>-1.304519</td>\n",
       "      <td>-0.604377</td>\n",
       "      <td>-1.526037</td>\n",
       "      <td>-1.113743</td>\n",
       "      <td>-0.958420</td>\n",
       "      <td>-1.108706</td>\n",
       "      <td>-0.681725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G45220</th>\n",
       "      <td>-1.172412</td>\n",
       "      <td>-0.744565</td>\n",
       "      <td>-0.610359</td>\n",
       "      <td>-0.715455</td>\n",
       "      <td>-0.653901</td>\n",
       "      <td>-0.574097</td>\n",
       "      <td>-0.511119</td>\n",
       "      <td>-0.681343</td>\n",
       "      <td>-0.172067</td>\n",
       "      <td>0.235475</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.727903</td>\n",
       "      <td>-0.553250</td>\n",
       "      <td>-1.047798</td>\n",
       "      <td>-0.158835</td>\n",
       "      <td>0.705763</td>\n",
       "      <td>-0.128482</td>\n",
       "      <td>1.323720</td>\n",
       "      <td>0.434960</td>\n",
       "      <td>-0.657399</td>\n",
       "      <td>-0.631348</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G45800</th>\n",
       "      <td>-0.660066</td>\n",
       "      <td>-0.256998</td>\n",
       "      <td>-0.452609</td>\n",
       "      <td>-0.245613</td>\n",
       "      <td>-0.298711</td>\n",
       "      <td>-0.271220</td>\n",
       "      <td>-1.010149</td>\n",
       "      <td>-1.180487</td>\n",
       "      <td>-0.261157</td>\n",
       "      <td>-0.324577</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.159324</td>\n",
       "      <td>-0.708450</td>\n",
       "      <td>-0.950132</td>\n",
       "      <td>-0.976210</td>\n",
       "      <td>-0.956071</td>\n",
       "      <td>-0.872085</td>\n",
       "      <td>-1.141190</td>\n",
       "      <td>-0.814245</td>\n",
       "      <td>-1.909658</td>\n",
       "      <td>-0.832975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G13040</th>\n",
       "      <td>0.114578</td>\n",
       "      <td>0.225685</td>\n",
       "      <td>0.317109</td>\n",
       "      <td>0.336910</td>\n",
       "      <td>0.381787</td>\n",
       "      <td>0.308605</td>\n",
       "      <td>0.316442</td>\n",
       "      <td>0.486498</td>\n",
       "      <td>0.304678</td>\n",
       "      <td>0.681267</td>\n",
       "      <td>...</td>\n",
       "      <td>0.329117</td>\n",
       "      <td>0.302562</td>\n",
       "      <td>0.646887</td>\n",
       "      <td>0.042644</td>\n",
       "      <td>-0.195127</td>\n",
       "      <td>0.522112</td>\n",
       "      <td>0.121452</td>\n",
       "      <td>0.014662</td>\n",
       "      <td>0.558917</td>\n",
       "      <td>0.375843</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G23220</th>\n",
       "      <td>0.149205</td>\n",
       "      <td>0.045996</td>\n",
       "      <td>-0.002326</td>\n",
       "      <td>-0.175677</td>\n",
       "      <td>-0.054133</td>\n",
       "      <td>-0.022954</td>\n",
       "      <td>-0.446530</td>\n",
       "      <td>-0.126076</td>\n",
       "      <td>0.031653</td>\n",
       "      <td>0.027206</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.135248</td>\n",
       "      <td>0.003032</td>\n",
       "      <td>-0.219733</td>\n",
       "      <td>-0.041924</td>\n",
       "      <td>0.328157</td>\n",
       "      <td>-0.474377</td>\n",
       "      <td>0.086244</td>\n",
       "      <td>-0.040216</td>\n",
       "      <td>-0.219363</td>\n",
       "      <td>-0.055890</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G28320</th>\n",
       "      <td>-1.885149</td>\n",
       "      <td>-0.995452</td>\n",
       "      <td>-2.514919</td>\n",
       "      <td>-1.106366</td>\n",
       "      <td>-1.380070</td>\n",
       "      <td>-0.852568</td>\n",
       "      <td>-1.629601</td>\n",
       "      <td>-1.161290</td>\n",
       "      <td>-0.847119</td>\n",
       "      <td>-0.953094</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.793470</td>\n",
       "      <td>-1.228664</td>\n",
       "      <td>-1.138776</td>\n",
       "      <td>-1.300476</td>\n",
       "      <td>-1.075235</td>\n",
       "      <td>-1.296426</td>\n",
       "      <td>-1.912146</td>\n",
       "      <td>-2.366152</td>\n",
       "      <td>-1.344669</td>\n",
       "      <td>-1.406476</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G57600</th>\n",
       "      <td>-0.411008</td>\n",
       "      <td>-0.821670</td>\n",
       "      <td>-0.787537</td>\n",
       "      <td>-2.163714</td>\n",
       "      <td>-1.356259</td>\n",
       "      <td>-2.466610</td>\n",
       "      <td>-1.382056</td>\n",
       "      <td>0.075927</td>\n",
       "      <td>-3.097843</td>\n",
       "      <td>-1.441581</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.070122</td>\n",
       "      <td>-1.276428</td>\n",
       "      <td>-1.470357</td>\n",
       "      <td>-1.455070</td>\n",
       "      <td>-1.827852</td>\n",
       "      <td>-1.006746</td>\n",
       "      <td>-1.462833</td>\n",
       "      <td>-1.437098</td>\n",
       "      <td>-1.334290</td>\n",
       "      <td>-1.199049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G58120</th>\n",
       "      <td>-0.966789</td>\n",
       "      <td>-0.941488</td>\n",
       "      <td>-1.059747</td>\n",
       "      <td>-0.778373</td>\n",
       "      <td>-0.982623</td>\n",
       "      <td>-1.147615</td>\n",
       "      <td>-0.613832</td>\n",
       "      <td>-0.862123</td>\n",
       "      <td>-0.827194</td>\n",
       "      <td>-1.132539</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.904131</td>\n",
       "      <td>-1.184340</td>\n",
       "      <td>-1.166994</td>\n",
       "      <td>-0.669228</td>\n",
       "      <td>-0.740129</td>\n",
       "      <td>-0.360315</td>\n",
       "      <td>-0.678267</td>\n",
       "      <td>-0.748049</td>\n",
       "      <td>-1.448737</td>\n",
       "      <td>-0.825273</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G06490</th>\n",
       "      <td>-0.846206</td>\n",
       "      <td>-1.438199</td>\n",
       "      <td>-1.016496</td>\n",
       "      <td>-1.041417</td>\n",
       "      <td>-1.450963</td>\n",
       "      <td>-1.247764</td>\n",
       "      <td>-1.788389</td>\n",
       "      <td>-1.438868</td>\n",
       "      <td>-1.364552</td>\n",
       "      <td>-1.844859</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.149152</td>\n",
       "      <td>-1.341376</td>\n",
       "      <td>-0.925244</td>\n",
       "      <td>-1.398989</td>\n",
       "      <td>-1.432684</td>\n",
       "      <td>-1.580820</td>\n",
       "      <td>-0.607524</td>\n",
       "      <td>-0.901093</td>\n",
       "      <td>-1.625992</td>\n",
       "      <td>-1.132049</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G48000</th>\n",
       "      <td>0.553828</td>\n",
       "      <td>0.499802</td>\n",
       "      <td>-0.058947</td>\n",
       "      <td>0.561070</td>\n",
       "      <td>0.372383</td>\n",
       "      <td>0.397484</td>\n",
       "      <td>0.311765</td>\n",
       "      <td>0.508155</td>\n",
       "      <td>0.491419</td>\n",
       "      <td>0.481247</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.177706</td>\n",
       "      <td>0.471788</td>\n",
       "      <td>0.084304</td>\n",
       "      <td>-0.373865</td>\n",
       "      <td>0.400617</td>\n",
       "      <td>-0.143144</td>\n",
       "      <td>0.525194</td>\n",
       "      <td>-0.196482</td>\n",
       "      <td>0.369301</td>\n",
       "      <td>0.505905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G47190</th>\n",
       "      <td>0.252789</td>\n",
       "      <td>0.170199</td>\n",
       "      <td>-0.382689</td>\n",
       "      <td>-0.078355</td>\n",
       "      <td>-0.047509</td>\n",
       "      <td>0.058331</td>\n",
       "      <td>-0.405122</td>\n",
       "      <td>0.712589</td>\n",
       "      <td>0.514569</td>\n",
       "      <td>0.248643</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.718849</td>\n",
       "      <td>-0.105083</td>\n",
       "      <td>0.130385</td>\n",
       "      <td>-0.792429</td>\n",
       "      <td>0.954879</td>\n",
       "      <td>-0.386879</td>\n",
       "      <td>1.397758</td>\n",
       "      <td>-0.152994</td>\n",
       "      <td>-0.195874</td>\n",
       "      <td>-0.096050</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G14440</th>\n",
       "      <td>-1.350521</td>\n",
       "      <td>-1.001317</td>\n",
       "      <td>-0.891167</td>\n",
       "      <td>-1.557734</td>\n",
       "      <td>-0.870131</td>\n",
       "      <td>-0.694741</td>\n",
       "      <td>-1.120690</td>\n",
       "      <td>-0.691260</td>\n",
       "      <td>-1.019725</td>\n",
       "      <td>-1.162127</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.957728</td>\n",
       "      <td>-0.790715</td>\n",
       "      <td>-0.746366</td>\n",
       "      <td>-1.053160</td>\n",
       "      <td>-0.470927</td>\n",
       "      <td>-0.559299</td>\n",
       "      <td>-0.687658</td>\n",
       "      <td>-0.784919</td>\n",
       "      <td>-0.770334</td>\n",
       "      <td>-0.820327</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G75390</th>\n",
       "      <td>-0.017519</td>\n",
       "      <td>0.031125</td>\n",
       "      <td>0.042805</td>\n",
       "      <td>0.607981</td>\n",
       "      <td>0.556756</td>\n",
       "      <td>0.389393</td>\n",
       "      <td>0.549752</td>\n",
       "      <td>1.110423</td>\n",
       "      <td>1.044039</td>\n",
       "      <td>0.505493</td>\n",
       "      <td>...</td>\n",
       "      <td>0.188504</td>\n",
       "      <td>0.609348</td>\n",
       "      <td>0.550050</td>\n",
       "      <td>0.194932</td>\n",
       "      <td>0.352835</td>\n",
       "      <td>0.057581</td>\n",
       "      <td>0.432063</td>\n",
       "      <td>0.327278</td>\n",
       "      <td>0.035761</td>\n",
       "      <td>0.419728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G19580</th>\n",
       "      <td>-1.004504</td>\n",
       "      <td>-1.313604</td>\n",
       "      <td>-0.837124</td>\n",
       "      <td>-0.436015</td>\n",
       "      <td>-0.319970</td>\n",
       "      <td>0.048065</td>\n",
       "      <td>-0.169053</td>\n",
       "      <td>0.405864</td>\n",
       "      <td>0.147417</td>\n",
       "      <td>-0.350815</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.101880</td>\n",
       "      <td>-0.904139</td>\n",
       "      <td>0.107439</td>\n",
       "      <td>-0.831274</td>\n",
       "      <td>-0.132331</td>\n",
       "      <td>-0.367123</td>\n",
       "      <td>0.320193</td>\n",
       "      <td>-0.532294</td>\n",
       "      <td>-0.545057</td>\n",
       "      <td>-0.434942</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G50420</th>\n",
       "      <td>1.604312</td>\n",
       "      <td>1.473405</td>\n",
       "      <td>1.808832</td>\n",
       "      <td>1.670627</td>\n",
       "      <td>1.435975</td>\n",
       "      <td>0.980670</td>\n",
       "      <td>1.030461</td>\n",
       "      <td>1.650953</td>\n",
       "      <td>1.444498</td>\n",
       "      <td>0.961500</td>\n",
       "      <td>...</td>\n",
       "      <td>1.262775</td>\n",
       "      <td>1.324622</td>\n",
       "      <td>1.806598</td>\n",
       "      <td>1.086910</td>\n",
       "      <td>1.180221</td>\n",
       "      <td>1.226665</td>\n",
       "      <td>1.431717</td>\n",
       "      <td>1.349944</td>\n",
       "      <td>1.164728</td>\n",
       "      <td>1.008839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G02150</th>\n",
       "      <td>-0.089029</td>\n",
       "      <td>-0.255957</td>\n",
       "      <td>-0.311050</td>\n",
       "      <td>-0.275321</td>\n",
       "      <td>-0.400791</td>\n",
       "      <td>-0.262407</td>\n",
       "      <td>-0.543799</td>\n",
       "      <td>-0.145866</td>\n",
       "      <td>-0.154079</td>\n",
       "      <td>-0.397579</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.275895</td>\n",
       "      <td>-0.506133</td>\n",
       "      <td>-0.353824</td>\n",
       "      <td>-0.527163</td>\n",
       "      <td>-0.253742</td>\n",
       "      <td>-0.404176</td>\n",
       "      <td>-0.218325</td>\n",
       "      <td>-0.346557</td>\n",
       "      <td>-0.572208</td>\n",
       "      <td>-0.330729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G15500</th>\n",
       "      <td>-1.062787</td>\n",
       "      <td>-1.334840</td>\n",
       "      <td>-1.011394</td>\n",
       "      <td>-2.499134</td>\n",
       "      <td>-1.098655</td>\n",
       "      <td>-1.711098</td>\n",
       "      <td>-1.078614</td>\n",
       "      <td>-0.608212</td>\n",
       "      <td>-0.611682</td>\n",
       "      <td>-0.831950</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.073286</td>\n",
       "      <td>-0.664708</td>\n",
       "      <td>-0.746506</td>\n",
       "      <td>-0.412196</td>\n",
       "      <td>0.615478</td>\n",
       "      <td>-0.909051</td>\n",
       "      <td>1.088172</td>\n",
       "      <td>-0.058559</td>\n",
       "      <td>-0.917137</td>\n",
       "      <td>-0.655090</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G17790</th>\n",
       "      <td>1.574165</td>\n",
       "      <td>1.020347</td>\n",
       "      <td>1.027803</td>\n",
       "      <td>1.905586</td>\n",
       "      <td>1.437140</td>\n",
       "      <td>1.735985</td>\n",
       "      <td>1.543327</td>\n",
       "      <td>2.251067</td>\n",
       "      <td>1.641608</td>\n",
       "      <td>1.564238</td>\n",
       "      <td>...</td>\n",
       "      <td>1.259308</td>\n",
       "      <td>1.848681</td>\n",
       "      <td>1.935008</td>\n",
       "      <td>1.518903</td>\n",
       "      <td>2.403076</td>\n",
       "      <td>1.497401</td>\n",
       "      <td>2.220927</td>\n",
       "      <td>1.903517</td>\n",
       "      <td>1.760692</td>\n",
       "      <td>1.950602</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G48590</th>\n",
       "      <td>-0.228560</td>\n",
       "      <td>0.126825</td>\n",
       "      <td>-0.389967</td>\n",
       "      <td>-0.104543</td>\n",
       "      <td>-0.088072</td>\n",
       "      <td>0.082619</td>\n",
       "      <td>0.020003</td>\n",
       "      <td>0.110390</td>\n",
       "      <td>0.314305</td>\n",
       "      <td>-0.321988</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.491681</td>\n",
       "      <td>-0.261195</td>\n",
       "      <td>0.005519</td>\n",
       "      <td>-0.295149</td>\n",
       "      <td>-0.380959</td>\n",
       "      <td>-0.396814</td>\n",
       "      <td>-0.088801</td>\n",
       "      <td>-0.232931</td>\n",
       "      <td>-0.496669</td>\n",
       "      <td>-0.401188</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT4G24540</th>\n",
       "      <td>-0.812004</td>\n",
       "      <td>0.044463</td>\n",
       "      <td>-0.022452</td>\n",
       "      <td>-0.070339</td>\n",
       "      <td>0.259625</td>\n",
       "      <td>0.105995</td>\n",
       "      <td>0.235821</td>\n",
       "      <td>-0.345986</td>\n",
       "      <td>-0.129016</td>\n",
       "      <td>-0.253382</td>\n",
       "      <td>...</td>\n",
       "      <td>0.193897</td>\n",
       "      <td>0.242415</td>\n",
       "      <td>0.087680</td>\n",
       "      <td>0.040261</td>\n",
       "      <td>-0.120434</td>\n",
       "      <td>0.169997</td>\n",
       "      <td>-0.109707</td>\n",
       "      <td>-0.199074</td>\n",
       "      <td>-0.046732</td>\n",
       "      <td>-0.028870</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G53980</th>\n",
       "      <td>-1.672817</td>\n",
       "      <td>-1.414357</td>\n",
       "      <td>-1.381492</td>\n",
       "      <td>-2.235975</td>\n",
       "      <td>-1.275161</td>\n",
       "      <td>-1.494812</td>\n",
       "      <td>-1.495430</td>\n",
       "      <td>-1.481530</td>\n",
       "      <td>-1.743535</td>\n",
       "      <td>-1.547974</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.950257</td>\n",
       "      <td>-1.534054</td>\n",
       "      <td>-1.377803</td>\n",
       "      <td>-1.582655</td>\n",
       "      <td>-1.166316</td>\n",
       "      <td>-0.999639</td>\n",
       "      <td>-1.421925</td>\n",
       "      <td>-1.449803</td>\n",
       "      <td>-1.402029</td>\n",
       "      <td>-1.312642</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G38470</th>\n",
       "      <td>-0.285070</td>\n",
       "      <td>-0.268739</td>\n",
       "      <td>-0.523985</td>\n",
       "      <td>-0.361795</td>\n",
       "      <td>-0.392952</td>\n",
       "      <td>-0.135683</td>\n",
       "      <td>-0.464483</td>\n",
       "      <td>-1.365857</td>\n",
       "      <td>-0.156715</td>\n",
       "      <td>0.132691</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.523054</td>\n",
       "      <td>-0.342420</td>\n",
       "      <td>-1.027165</td>\n",
       "      <td>-0.458401</td>\n",
       "      <td>-0.939027</td>\n",
       "      <td>-0.618580</td>\n",
       "      <td>-0.248369</td>\n",
       "      <td>-0.286138</td>\n",
       "      <td>-0.301758</td>\n",
       "      <td>-0.468982</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT4G13250</th>\n",
       "      <td>1.163715</td>\n",
       "      <td>1.477677</td>\n",
       "      <td>0.817054</td>\n",
       "      <td>0.702874</td>\n",
       "      <td>0.445002</td>\n",
       "      <td>0.274111</td>\n",
       "      <td>0.435177</td>\n",
       "      <td>-0.083543</td>\n",
       "      <td>0.378269</td>\n",
       "      <td>0.154565</td>\n",
       "      <td>...</td>\n",
       "      <td>0.596158</td>\n",
       "      <td>0.316203</td>\n",
       "      <td>0.521482</td>\n",
       "      <td>-0.411557</td>\n",
       "      <td>1.085803</td>\n",
       "      <td>0.313764</td>\n",
       "      <td>1.334994</td>\n",
       "      <td>0.141916</td>\n",
       "      <td>-0.096119</td>\n",
       "      <td>0.512876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G06960</th>\n",
       "      <td>-0.368417</td>\n",
       "      <td>-0.359103</td>\n",
       "      <td>-0.607226</td>\n",
       "      <td>-0.292274</td>\n",
       "      <td>-0.508712</td>\n",
       "      <td>-0.315587</td>\n",
       "      <td>-0.155189</td>\n",
       "      <td>-0.111920</td>\n",
       "      <td>-0.205194</td>\n",
       "      <td>-0.144340</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.653982</td>\n",
       "      <td>-0.488943</td>\n",
       "      <td>-0.158850</td>\n",
       "      <td>-0.303934</td>\n",
       "      <td>-0.690615</td>\n",
       "      <td>-0.303348</td>\n",
       "      <td>-0.436944</td>\n",
       "      <td>-0.295928</td>\n",
       "      <td>-0.723960</td>\n",
       "      <td>-0.425312</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G61270</th>\n",
       "      <td>-1.391565</td>\n",
       "      <td>-0.537839</td>\n",
       "      <td>-0.947177</td>\n",
       "      <td>-1.433706</td>\n",
       "      <td>-1.031505</td>\n",
       "      <td>-1.700439</td>\n",
       "      <td>-1.648230</td>\n",
       "      <td>-1.632340</td>\n",
       "      <td>-1.109372</td>\n",
       "      <td>-0.360558</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.008772</td>\n",
       "      <td>-1.349429</td>\n",
       "      <td>-1.198812</td>\n",
       "      <td>-1.224866</td>\n",
       "      <td>-3.064184</td>\n",
       "      <td>-1.242149</td>\n",
       "      <td>-2.200595</td>\n",
       "      <td>-1.158938</td>\n",
       "      <td>-1.004270</td>\n",
       "      <td>-1.289683</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G27310</th>\n",
       "      <td>1.163695</td>\n",
       "      <td>1.189402</td>\n",
       "      <td>0.860510</td>\n",
       "      <td>1.066301</td>\n",
       "      <td>1.086639</td>\n",
       "      <td>1.056175</td>\n",
       "      <td>1.020473</td>\n",
       "      <td>1.660075</td>\n",
       "      <td>0.987612</td>\n",
       "      <td>0.985300</td>\n",
       "      <td>...</td>\n",
       "      <td>1.118827</td>\n",
       "      <td>0.902168</td>\n",
       "      <td>1.280658</td>\n",
       "      <td>0.672952</td>\n",
       "      <td>0.967793</td>\n",
       "      <td>0.905788</td>\n",
       "      <td>0.858699</td>\n",
       "      <td>0.861474</td>\n",
       "      <td>1.194472</td>\n",
       "      <td>1.259530</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G13330</th>\n",
       "      <td>-0.563377</td>\n",
       "      <td>-0.803130</td>\n",
       "      <td>-0.557920</td>\n",
       "      <td>-0.840645</td>\n",
       "      <td>-0.288568</td>\n",
       "      <td>-0.554881</td>\n",
       "      <td>-0.479952</td>\n",
       "      <td>-0.407854</td>\n",
       "      <td>-0.405662</td>\n",
       "      <td>-0.876335</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.421790</td>\n",
       "      <td>-0.143731</td>\n",
       "      <td>-0.214490</td>\n",
       "      <td>-0.353052</td>\n",
       "      <td>0.437516</td>\n",
       "      <td>-0.326918</td>\n",
       "      <td>0.327312</td>\n",
       "      <td>-0.192681</td>\n",
       "      <td>-0.480589</td>\n",
       "      <td>-0.426296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G13260</th>\n",
       "      <td>-0.022739</td>\n",
       "      <td>-0.058655</td>\n",
       "      <td>-0.003514</td>\n",
       "      <td>-0.309594</td>\n",
       "      <td>-0.154437</td>\n",
       "      <td>-0.693189</td>\n",
       "      <td>0.124340</td>\n",
       "      <td>-0.938523</td>\n",
       "      <td>0.125610</td>\n",
       "      <td>-0.274360</td>\n",
       "      <td>...</td>\n",
       "      <td>0.023604</td>\n",
       "      <td>-0.368663</td>\n",
       "      <td>-0.659337</td>\n",
       "      <td>0.026226</td>\n",
       "      <td>-0.554788</td>\n",
       "      <td>-0.327780</td>\n",
       "      <td>-0.445202</td>\n",
       "      <td>-0.221319</td>\n",
       "      <td>-0.249803</td>\n",
       "      <td>-0.340171</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G59820</th>\n",
       "      <td>-0.103867</td>\n",
       "      <td>-0.136436</td>\n",
       "      <td>-0.159836</td>\n",
       "      <td>0.250178</td>\n",
       "      <td>-0.286946</td>\n",
       "      <td>-0.147075</td>\n",
       "      <td>-0.227350</td>\n",
       "      <td>-0.473303</td>\n",
       "      <td>-0.206886</td>\n",
       "      <td>-0.708947</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.651447</td>\n",
       "      <td>-0.302304</td>\n",
       "      <td>-0.204999</td>\n",
       "      <td>-0.584209</td>\n",
       "      <td>0.697747</td>\n",
       "      <td>-0.665938</td>\n",
       "      <td>1.073063</td>\n",
       "      <td>-0.294968</td>\n",
       "      <td>-0.600780</td>\n",
       "      <td>-0.416241</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G17020</th>\n",
       "      <td>-1.462683</td>\n",
       "      <td>-1.649493</td>\n",
       "      <td>-1.366627</td>\n",
       "      <td>-1.701607</td>\n",
       "      <td>-1.209970</td>\n",
       "      <td>-1.080551</td>\n",
       "      <td>-0.964086</td>\n",
       "      <td>-0.006158</td>\n",
       "      <td>-1.323227</td>\n",
       "      <td>-1.120882</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.993372</td>\n",
       "      <td>-0.746171</td>\n",
       "      <td>-0.281806</td>\n",
       "      <td>-0.855395</td>\n",
       "      <td>-0.414098</td>\n",
       "      <td>-0.966147</td>\n",
       "      <td>0.488676</td>\n",
       "      <td>-0.300753</td>\n",
       "      <td>-0.940128</td>\n",
       "      <td>-0.489409</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G27730</th>\n",
       "      <td>-0.520903</td>\n",
       "      <td>-0.803906</td>\n",
       "      <td>-0.616177</td>\n",
       "      <td>-0.657494</td>\n",
       "      <td>-0.451245</td>\n",
       "      <td>-0.567189</td>\n",
       "      <td>-0.680191</td>\n",
       "      <td>-0.736528</td>\n",
       "      <td>-0.313251</td>\n",
       "      <td>0.051136</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.867787</td>\n",
       "      <td>-0.424867</td>\n",
       "      <td>-0.836358</td>\n",
       "      <td>-0.399051</td>\n",
       "      <td>0.331304</td>\n",
       "      <td>-0.737534</td>\n",
       "      <td>-0.096484</td>\n",
       "      <td>-0.595941</td>\n",
       "      <td>-0.692991</td>\n",
       "      <td>-0.804442</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G22070</th>\n",
       "      <td>1.329253</td>\n",
       "      <td>1.168867</td>\n",
       "      <td>1.203601</td>\n",
       "      <td>1.167490</td>\n",
       "      <td>0.805367</td>\n",
       "      <td>0.609612</td>\n",
       "      <td>0.487752</td>\n",
       "      <td>0.908409</td>\n",
       "      <td>0.309459</td>\n",
       "      <td>0.682952</td>\n",
       "      <td>...</td>\n",
       "      <td>1.300775</td>\n",
       "      <td>0.918449</td>\n",
       "      <td>1.040986</td>\n",
       "      <td>0.656497</td>\n",
       "      <td>0.407596</td>\n",
       "      <td>0.494308</td>\n",
       "      <td>0.478403</td>\n",
       "      <td>0.281663</td>\n",
       "      <td>0.849292</td>\n",
       "      <td>1.623970</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT1G80840</th>\n",
       "      <td>0.563439</td>\n",
       "      <td>-0.590539</td>\n",
       "      <td>-0.713099</td>\n",
       "      <td>-0.709872</td>\n",
       "      <td>-0.486993</td>\n",
       "      <td>-0.194262</td>\n",
       "      <td>-0.744494</td>\n",
       "      <td>0.451142</td>\n",
       "      <td>0.225795</td>\n",
       "      <td>0.781391</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.320500</td>\n",
       "      <td>-0.618791</td>\n",
       "      <td>-0.323318</td>\n",
       "      <td>-0.483530</td>\n",
       "      <td>-0.475811</td>\n",
       "      <td>-0.791654</td>\n",
       "      <td>-0.283395</td>\n",
       "      <td>-0.545957</td>\n",
       "      <td>-0.388426</td>\n",
       "      <td>-0.694276</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT4G11070</th>\n",
       "      <td>-1.200753</td>\n",
       "      <td>-1.044865</td>\n",
       "      <td>-1.137413</td>\n",
       "      <td>-1.364729</td>\n",
       "      <td>-1.173631</td>\n",
       "      <td>-1.508117</td>\n",
       "      <td>-2.145518</td>\n",
       "      <td>-0.613224</td>\n",
       "      <td>-1.155204</td>\n",
       "      <td>-1.732057</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.823949</td>\n",
       "      <td>-0.942306</td>\n",
       "      <td>-0.708118</td>\n",
       "      <td>-1.002938</td>\n",
       "      <td>-1.010235</td>\n",
       "      <td>-0.896967</td>\n",
       "      <td>-0.851825</td>\n",
       "      <td>-1.093046</td>\n",
       "      <td>-0.970048</td>\n",
       "      <td>-0.622031</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT3G01970</th>\n",
       "      <td>-0.341625</td>\n",
       "      <td>-1.370076</td>\n",
       "      <td>-0.587549</td>\n",
       "      <td>-0.543153</td>\n",
       "      <td>-0.445205</td>\n",
       "      <td>-0.270121</td>\n",
       "      <td>-0.256872</td>\n",
       "      <td>0.203296</td>\n",
       "      <td>0.436875</td>\n",
       "      <td>0.164590</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.628902</td>\n",
       "      <td>0.096662</td>\n",
       "      <td>0.144098</td>\n",
       "      <td>-0.017609</td>\n",
       "      <td>0.650848</td>\n",
       "      <td>-0.027577</td>\n",
       "      <td>1.152812</td>\n",
       "      <td>0.373490</td>\n",
       "      <td>-0.215395</td>\n",
       "      <td>0.146857</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT4G23810</th>\n",
       "      <td>0.196691</td>\n",
       "      <td>0.300022</td>\n",
       "      <td>0.277435</td>\n",
       "      <td>0.042557</td>\n",
       "      <td>0.082159</td>\n",
       "      <td>0.173265</td>\n",
       "      <td>0.282178</td>\n",
       "      <td>-0.109180</td>\n",
       "      <td>0.225558</td>\n",
       "      <td>0.449116</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.226679</td>\n",
       "      <td>-0.108376</td>\n",
       "      <td>0.258453</td>\n",
       "      <td>0.395285</td>\n",
       "      <td>0.041282</td>\n",
       "      <td>-0.018076</td>\n",
       "      <td>-0.175872</td>\n",
       "      <td>0.275254</td>\n",
       "      <td>0.006417</td>\n",
       "      <td>0.153583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT5G08290</th>\n",
       "      <td>2.523380</td>\n",
       "      <td>2.546104</td>\n",
       "      <td>2.451332</td>\n",
       "      <td>2.622994</td>\n",
       "      <td>1.973118</td>\n",
       "      <td>2.388888</td>\n",
       "      <td>2.558636</td>\n",
       "      <td>2.455168</td>\n",
       "      <td>2.355094</td>\n",
       "      <td>2.434725</td>\n",
       "      <td>...</td>\n",
       "      <td>2.201881</td>\n",
       "      <td>2.236898</td>\n",
       "      <td>2.271926</td>\n",
       "      <td>2.448690</td>\n",
       "      <td>2.552705</td>\n",
       "      <td>2.445650</td>\n",
       "      <td>2.433665</td>\n",
       "      <td>2.394153</td>\n",
       "      <td>2.312414</td>\n",
       "      <td>2.069649</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AT2G41940</th>\n",
       "      <td>-0.443110</td>\n",
       "      <td>-0.450751</td>\n",
       "      <td>-0.290328</td>\n",
       "      <td>-0.088634</td>\n",
       "      <td>-0.065738</td>\n",
       "      <td>-0.204910</td>\n",
       "      <td>0.215281</td>\n",
       "      <td>-1.389730</td>\n",
       "      <td>-0.059518</td>\n",
       "      <td>0.088013</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.437225</td>\n",
       "      <td>-0.356258</td>\n",
       "      <td>-0.929438</td>\n",
       "      <td>-0.117146</td>\n",
       "      <td>-0.650037</td>\n",
       "      <td>-0.139999</td>\n",
       "      <td>-0.680968</td>\n",
       "      <td>0.047317</td>\n",
       "      <td>-0.257111</td>\n",
       "      <td>-0.632788</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>96 rows × 192 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "sample,replicate Botrytis:A                                                    \\\n",
       "hours                    2         4         6         8         10        12   \n",
       "AT4G34000         -0.053079 -0.304875 -0.483745 -0.156508 -0.202809  0.338516   \n",
       "AT3G19290         -0.504459 -0.251477 -0.257191 -1.462210 -0.943728 -0.206392   \n",
       "AT2G40220          0.411811  0.220898  0.191625  0.207554  0.223502  0.131607   \n",
       "AT2G36270         -1.463447 -1.424161 -1.100205 -1.249579 -1.427928 -1.629272   \n",
       "AT1G01480         -1.996341 -1.221054 -1.210107 -4.027722 -1.225565 -1.751466   \n",
       "AT2G37620         -0.088654 -0.394301 -0.457610 -0.373040 -0.445399 -0.511132   \n",
       "AT3G01420         -1.598808 -1.369368 -1.397140 -1.214072 -1.149628 -2.057762   \n",
       "AT1G52890          1.076062 -0.028432 -0.373933 -0.309916 -0.407319 -0.087757   \n",
       "AT1G61110         -1.069074 -1.519436 -1.264536 -1.385842 -1.514637 -1.014876   \n",
       "AT3G56530         -0.129513 -0.637662 -0.901596 -1.181431 -0.707153 -0.946698   \n",
       "AT5G13180         -0.094500  0.379073 -0.171551  0.130391  0.194030  0.227373   \n",
       "AT5G39610         -0.341226 -0.854083 -0.782162 -1.069271 -0.929156 -0.570104   \n",
       "AT5G63790          1.617329  1.877462  1.461760  1.262854  1.492687  1.383130   \n",
       "AT5G62000         -0.326172 -0.136350 -0.433258 -0.467591 -0.485819 -0.198225   \n",
       "AT3G51910         -0.087139 -0.126151  0.140287  0.142416 -0.000418  0.068965   \n",
       "AT1G06160         -2.093805 -1.357173 -0.620591 -2.185862 -0.565054 -2.132244   \n",
       "AT1G25550          0.329375  0.178728  0.177907  0.449700  0.462199  0.744238   \n",
       "AT1G35560          0.765180  0.525214  1.072333  1.313758  1.304460  0.983638   \n",
       "AT1G79320         -1.226133 -1.374451 -0.617979 -1.964033 -1.245514 -1.650820   \n",
       "AT2G18300         -1.156067 -1.036831 -0.796430 -0.644955 -1.139068 -1.072332   \n",
       "AT2G24430         -0.946795 -0.714301 -0.914190 -0.717744 -0.851772 -1.095010   \n",
       "AT2G28510          0.783236  0.314319  0.549218  0.979053  0.738894  0.334388   \n",
       "AT2G40340          0.470927  0.125073 -0.272082 -0.255254 -0.486245 -0.457054   \n",
       "AT2G45220         -1.172412 -0.744565 -0.610359 -0.715455 -0.653901 -0.574097   \n",
       "AT2G45800         -0.660066 -0.256998 -0.452609 -0.245613 -0.298711 -0.271220   \n",
       "AT3G13040          0.114578  0.225685  0.317109  0.336910  0.381787  0.308605   \n",
       "AT3G23220          0.149205  0.045996 -0.002326 -0.175677 -0.054133 -0.022954   \n",
       "AT3G28320         -1.885149 -0.995452 -2.514919 -1.106366 -1.380070 -0.852568   \n",
       "AT3G57600         -0.411008 -0.821670 -0.787537 -2.163714 -1.356259 -2.466610   \n",
       "AT3G58120         -0.966789 -0.941488 -1.059747 -0.778373 -0.982623 -1.147615   \n",
       "...                     ...       ...       ...       ...       ...       ...   \n",
       "AT3G06490         -0.846206 -1.438199 -1.016496 -1.041417 -1.450963 -1.247764   \n",
       "AT1G48000          0.553828  0.499802 -0.058947  0.561070  0.372383  0.397484   \n",
       "AT2G47190          0.252789  0.170199 -0.382689 -0.078355 -0.047509  0.058331   \n",
       "AT3G14440         -1.350521 -1.001317 -0.891167 -1.557734 -0.870131 -0.694741   \n",
       "AT1G75390         -0.017519  0.031125  0.042805  0.607981  0.556756  0.389393   \n",
       "AT3G19580         -1.004504 -1.313604 -0.837124 -0.436015 -0.319970  0.048065   \n",
       "AT1G50420          1.604312  1.473405  1.808832  1.670627  1.435975  0.980670   \n",
       "AT3G02150         -0.089029 -0.255957 -0.311050 -0.275321 -0.400791 -0.262407   \n",
       "AT3G15500         -1.062787 -1.334840 -1.011394 -2.499134 -1.098655 -1.711098   \n",
       "AT3G17790          1.574165  1.020347  1.027803  1.905586  1.437140  1.735985   \n",
       "AT3G48590         -0.228560  0.126825 -0.389967 -0.104543 -0.088072  0.082619   \n",
       "AT4G24540         -0.812004  0.044463 -0.022452 -0.070339  0.259625  0.105995   \n",
       "AT5G53980         -1.672817 -1.414357 -1.381492 -2.235975 -1.275161 -1.494812   \n",
       "AT2G38470         -0.285070 -0.268739 -0.523985 -0.361795 -0.392952 -0.135683   \n",
       "AT4G13250          1.163715  1.477677  0.817054  0.702874  0.445002  0.274111   \n",
       "AT5G06960         -0.368417 -0.359103 -0.607226 -0.292274 -0.508712 -0.315587   \n",
       "AT5G61270         -1.391565 -0.537839 -0.947177 -1.433706 -1.031505 -1.700439   \n",
       "AT3G27310          1.163695  1.189402  0.860510  1.066301  1.086639  1.056175   \n",
       "AT5G13330         -0.563377 -0.803130 -0.557920 -0.840645 -0.288568 -0.554881   \n",
       "AT1G13260         -0.022739 -0.058655 -0.003514 -0.309594 -0.154437 -0.693189   \n",
       "AT5G59820         -0.103867 -0.136436 -0.159836  0.250178 -0.286946 -0.147075   \n",
       "AT1G17020         -1.462683 -1.649493 -1.366627 -1.701607 -1.209970 -1.080551   \n",
       "AT1G27730         -0.520903 -0.803906 -0.616177 -0.657494 -0.451245 -0.567189   \n",
       "AT1G22070          1.329253  1.168867  1.203601  1.167490  0.805367  0.609612   \n",
       "AT1G80840          0.563439 -0.590539 -0.713099 -0.709872 -0.486993 -0.194262   \n",
       "AT4G11070         -1.200753 -1.044865 -1.137413 -1.364729 -1.173631 -1.508117   \n",
       "AT3G01970         -0.341625 -1.370076 -0.587549 -0.543153 -0.445205 -0.270121   \n",
       "AT4G23810          0.196691  0.300022  0.277435  0.042557  0.082159  0.173265   \n",
       "AT5G08290          2.523380  2.546104  2.451332  2.622994  1.973118  2.388888   \n",
       "AT2G41940         -0.443110 -0.450751 -0.290328 -0.088634 -0.065738 -0.204910   \n",
       "\n",
       "sample,replicate                                            ...       Mock:D  \\\n",
       "hours                   14        16        18        20    ...           30   \n",
       "AT4G34000        -0.326796  1.203588 -0.201891 -0.001326    ...    -0.172424   \n",
       "AT3G19290        -0.292975  0.553252 -0.395981 -0.192032    ...    -0.337525   \n",
       "AT2G40220         0.164361  0.363513  0.153309  0.115624    ...     0.166805   \n",
       "AT2G36270        -1.390618 -2.789438 -1.609790 -1.063949    ...    -1.144316   \n",
       "AT1G01480        -1.532342 -1.418427 -1.573901 -0.809650    ...    -1.965654   \n",
       "AT2G37620        -0.647264 -0.062886 -0.679874 -0.515114    ...    -0.231811   \n",
       "AT3G01420        -1.623871 -1.119681 -1.511696 -1.069121    ...    -0.742090   \n",
       "AT1G52890        -0.551991 -0.923278 -0.516482 -0.259618    ...    -0.396908   \n",
       "AT1G61110        -1.492378 -0.716279 -1.044132 -1.010118    ...    -1.567672   \n",
       "AT3G56530        -0.849017 -0.659002 -0.858854 -0.713477    ...    -0.764655   \n",
       "AT5G13180         0.524622  0.692255  0.425783  0.635221    ...     0.385759   \n",
       "AT5G39610        -0.759597  0.000618  0.566964 -0.126480    ...    -0.513981   \n",
       "AT5G63790         1.373848  1.425397  1.500793  1.121852    ...     1.165392   \n",
       "AT5G62000        -0.173918 -1.008539  0.171469  0.074954    ...    -0.197531   \n",
       "AT3G51910        -0.104159 -0.323248 -0.047819 -0.016438    ...    -0.135507   \n",
       "AT1G06160        -0.366742 -1.052043 -0.252387  0.079101    ...    -0.579587   \n",
       "AT1G25550         0.723549  1.040593  0.506919  0.286481    ...    -0.022226   \n",
       "AT1G35560         1.357084  0.034891  1.323026  1.444448    ...     0.521010   \n",
       "AT1G79320        -1.422798 -0.912314 -1.888771 -1.969946    ...    -1.615850   \n",
       "AT2G18300        -0.739485 -1.015158 -0.747595 -1.482213    ...    -0.730347   \n",
       "AT2G24430        -1.119871 -0.306653 -1.936993 -1.373395    ...    -1.167950   \n",
       "AT2G28510         0.463201  0.638587  0.106425 -0.029838    ...     0.204014   \n",
       "AT2G40340        -0.979720 -0.317595 -0.873670 -0.948200    ...    -0.673912   \n",
       "AT2G45220        -0.511119 -0.681343 -0.172067  0.235475    ...    -0.727903   \n",
       "AT2G45800        -1.010149 -1.180487 -0.261157 -0.324577    ...    -0.159324   \n",
       "AT3G13040         0.316442  0.486498  0.304678  0.681267    ...     0.329117   \n",
       "AT3G23220        -0.446530 -0.126076  0.031653  0.027206    ...    -0.135248   \n",
       "AT3G28320        -1.629601 -1.161290 -0.847119 -0.953094    ...    -0.793470   \n",
       "AT3G57600        -1.382056  0.075927 -3.097843 -1.441581    ...    -1.070122   \n",
       "AT3G58120        -0.613832 -0.862123 -0.827194 -1.132539    ...    -0.904131   \n",
       "...                    ...       ...       ...       ...    ...          ...   \n",
       "AT3G06490        -1.788389 -1.438868 -1.364552 -1.844859    ...    -1.149152   \n",
       "AT1G48000         0.311765  0.508155  0.491419  0.481247    ...    -0.177706   \n",
       "AT2G47190        -0.405122  0.712589  0.514569  0.248643    ...    -0.718849   \n",
       "AT3G14440        -1.120690 -0.691260 -1.019725 -1.162127    ...    -0.957728   \n",
       "AT1G75390         0.549752  1.110423  1.044039  0.505493    ...     0.188504   \n",
       "AT3G19580        -0.169053  0.405864  0.147417 -0.350815    ...    -1.101880   \n",
       "AT1G50420         1.030461  1.650953  1.444498  0.961500    ...     1.262775   \n",
       "AT3G02150        -0.543799 -0.145866 -0.154079 -0.397579    ...    -0.275895   \n",
       "AT3G15500        -1.078614 -0.608212 -0.611682 -0.831950    ...    -1.073286   \n",
       "AT3G17790         1.543327  2.251067  1.641608  1.564238    ...     1.259308   \n",
       "AT3G48590         0.020003  0.110390  0.314305 -0.321988    ...    -0.491681   \n",
       "AT4G24540         0.235821 -0.345986 -0.129016 -0.253382    ...     0.193897   \n",
       "AT5G53980        -1.495430 -1.481530 -1.743535 -1.547974    ...    -1.950257   \n",
       "AT2G38470        -0.464483 -1.365857 -0.156715  0.132691    ...    -0.523054   \n",
       "AT4G13250         0.435177 -0.083543  0.378269  0.154565    ...     0.596158   \n",
       "AT5G06960        -0.155189 -0.111920 -0.205194 -0.144340    ...    -0.653982   \n",
       "AT5G61270        -1.648230 -1.632340 -1.109372 -0.360558    ...    -1.008772   \n",
       "AT3G27310         1.020473  1.660075  0.987612  0.985300    ...     1.118827   \n",
       "AT5G13330        -0.479952 -0.407854 -0.405662 -0.876335    ...    -0.421790   \n",
       "AT1G13260         0.124340 -0.938523  0.125610 -0.274360    ...     0.023604   \n",
       "AT5G59820        -0.227350 -0.473303 -0.206886 -0.708947    ...    -0.651447   \n",
       "AT1G17020        -0.964086 -0.006158 -1.323227 -1.120882    ...    -1.993372   \n",
       "AT1G27730        -0.680191 -0.736528 -0.313251  0.051136    ...    -0.867787   \n",
       "AT1G22070         0.487752  0.908409  0.309459  0.682952    ...     1.300775   \n",
       "AT1G80840        -0.744494  0.451142  0.225795  0.781391    ...    -1.320500   \n",
       "AT4G11070        -2.145518 -0.613224 -1.155204 -1.732057    ...    -0.823949   \n",
       "AT3G01970        -0.256872  0.203296  0.436875  0.164590    ...    -0.628902   \n",
       "AT4G23810         0.282178 -0.109180  0.225558  0.449116    ...    -0.226679   \n",
       "AT5G08290         2.558636  2.455168  2.355094  2.434725    ...     2.201881   \n",
       "AT2G41940         0.215281 -1.389730 -0.059518  0.088013    ...    -0.437225   \n",
       "\n",
       "sample,replicate                                                              \\\n",
       "hours                   32        34        36        38        40        42   \n",
       "AT4G34000         0.223641  0.260726 -0.496940 -0.569740  0.042110  0.330681   \n",
       "AT3G19290         0.047556  0.323354 -0.000900 -0.384835 -0.078635  0.018945   \n",
       "AT2G40220         0.243625  0.084385 -0.120301  0.139742  0.072753  0.175763   \n",
       "AT2G36270        -1.312786 -1.558693 -1.129934 -1.326265 -1.454305 -1.221565   \n",
       "AT1G01480        -1.166154 -1.310127 -1.651423 -0.978544 -2.433636 -0.602227   \n",
       "AT2G37620        -0.061627  0.023335 -0.481450 -0.148971 -0.184772 -0.108044   \n",
       "AT3G01420        -1.079041 -1.033465 -0.707955  0.241461 -1.198133  0.436342   \n",
       "AT1G52890         0.300006 -0.631515 -0.886706  0.170987 -0.395182  0.441825   \n",
       "AT1G61110        -1.081210 -0.983929 -1.708999 -0.785636 -1.641668 -0.825246   \n",
       "AT3G56530        -0.717643 -0.703229 -0.895637 -0.149317 -0.891292 -0.362437   \n",
       "AT5G13180         0.493742  0.820166  0.436624  0.966364  0.194131  0.550931   \n",
       "AT5G39610        -0.072686  0.661942  0.154715  0.679492  0.217056  0.613753   \n",
       "AT5G63790         1.177882  1.384762  1.444197  1.595778  1.488970  1.689637   \n",
       "AT5G62000        -0.152315 -0.613377  0.028417 -0.519085  0.010378 -0.160360   \n",
       "AT3G51910         0.273459 -0.052130  0.142051  0.401099  0.048099  0.488554   \n",
       "AT1G06160        -0.078320 -0.734013  0.591630 -0.077247 -0.502122  0.407759   \n",
       "AT1G25550         0.185100  0.689872  0.655634  1.037344  0.512621  0.453087   \n",
       "AT1G35560         1.296462  0.531340  1.383427  0.817044  1.054333  1.642851   \n",
       "AT1G79320        -1.473234 -1.434955 -1.403644 -0.862571 -2.300015 -1.208905   \n",
       "AT2G18300        -1.508513 -1.350742 -0.285235 -0.515359 -0.725716 -0.965200   \n",
       "AT2G24430        -0.936054 -0.837502 -0.996482 -0.289800 -1.225325 -0.649094   \n",
       "AT2G28510         0.701617  0.648681 -0.122875  0.350613  0.164504  0.577708   \n",
       "AT2G40340        -0.751446 -0.833152 -1.304519 -0.604377 -1.526037 -1.113743   \n",
       "AT2G45220        -0.553250 -1.047798 -0.158835  0.705763 -0.128482  1.323720   \n",
       "AT2G45800        -0.708450 -0.950132 -0.976210 -0.956071 -0.872085 -1.141190   \n",
       "AT3G13040         0.302562  0.646887  0.042644 -0.195127  0.522112  0.121452   \n",
       "AT3G23220         0.003032 -0.219733 -0.041924  0.328157 -0.474377  0.086244   \n",
       "AT3G28320        -1.228664 -1.138776 -1.300476 -1.075235 -1.296426 -1.912146   \n",
       "AT3G57600        -1.276428 -1.470357 -1.455070 -1.827852 -1.006746 -1.462833   \n",
       "AT3G58120        -1.184340 -1.166994 -0.669228 -0.740129 -0.360315 -0.678267   \n",
       "...                    ...       ...       ...       ...       ...       ...   \n",
       "AT3G06490        -1.341376 -0.925244 -1.398989 -1.432684 -1.580820 -0.607524   \n",
       "AT1G48000         0.471788  0.084304 -0.373865  0.400617 -0.143144  0.525194   \n",
       "AT2G47190        -0.105083  0.130385 -0.792429  0.954879 -0.386879  1.397758   \n",
       "AT3G14440        -0.790715 -0.746366 -1.053160 -0.470927 -0.559299 -0.687658   \n",
       "AT1G75390         0.609348  0.550050  0.194932  0.352835  0.057581  0.432063   \n",
       "AT3G19580        -0.904139  0.107439 -0.831274 -0.132331 -0.367123  0.320193   \n",
       "AT1G50420         1.324622  1.806598  1.086910  1.180221  1.226665  1.431717   \n",
       "AT3G02150        -0.506133 -0.353824 -0.527163 -0.253742 -0.404176 -0.218325   \n",
       "AT3G15500        -0.664708 -0.746506 -0.412196  0.615478 -0.909051  1.088172   \n",
       "AT3G17790         1.848681  1.935008  1.518903  2.403076  1.497401  2.220927   \n",
       "AT3G48590        -0.261195  0.005519 -0.295149 -0.380959 -0.396814 -0.088801   \n",
       "AT4G24540         0.242415  0.087680  0.040261 -0.120434  0.169997 -0.109707   \n",
       "AT5G53980        -1.534054 -1.377803 -1.582655 -1.166316 -0.999639 -1.421925   \n",
       "AT2G38470        -0.342420 -1.027165 -0.458401 -0.939027 -0.618580 -0.248369   \n",
       "AT4G13250         0.316203  0.521482 -0.411557  1.085803  0.313764  1.334994   \n",
       "AT5G06960        -0.488943 -0.158850 -0.303934 -0.690615 -0.303348 -0.436944   \n",
       "AT5G61270        -1.349429 -1.198812 -1.224866 -3.064184 -1.242149 -2.200595   \n",
       "AT3G27310         0.902168  1.280658  0.672952  0.967793  0.905788  0.858699   \n",
       "AT5G13330        -0.143731 -0.214490 -0.353052  0.437516 -0.326918  0.327312   \n",
       "AT1G13260        -0.368663 -0.659337  0.026226 -0.554788 -0.327780 -0.445202   \n",
       "AT5G59820        -0.302304 -0.204999 -0.584209  0.697747 -0.665938  1.073063   \n",
       "AT1G17020        -0.746171 -0.281806 -0.855395 -0.414098 -0.966147  0.488676   \n",
       "AT1G27730        -0.424867 -0.836358 -0.399051  0.331304 -0.737534 -0.096484   \n",
       "AT1G22070         0.918449  1.040986  0.656497  0.407596  0.494308  0.478403   \n",
       "AT1G80840        -0.618791 -0.323318 -0.483530 -0.475811 -0.791654 -0.283395   \n",
       "AT4G11070        -0.942306 -0.708118 -1.002938 -1.010235 -0.896967 -0.851825   \n",
       "AT3G01970         0.096662  0.144098 -0.017609  0.650848 -0.027577  1.152812   \n",
       "AT4G23810        -0.108376  0.258453  0.395285  0.041282 -0.018076 -0.175872   \n",
       "AT5G08290         2.236898  2.271926  2.448690  2.552705  2.445650  2.433665   \n",
       "AT2G41940        -0.356258 -0.929438 -0.117146 -0.650037 -0.139999 -0.680968   \n",
       "\n",
       "sample,replicate                                \n",
       "hours                   44        46        48  \n",
       "AT4G34000        -0.003549  0.021408  0.336260  \n",
       "AT3G19290        -0.652791 -0.201931  0.259311  \n",
       "AT2G40220         0.173085  0.210233  0.385091  \n",
       "AT2G36270        -1.308960 -1.238057 -1.290342  \n",
       "AT1G01480        -1.206474 -1.224480 -1.286262  \n",
       "AT2G37620        -0.505517 -0.322482 -0.097010  \n",
       "AT3G01420        -0.133767 -0.886805 -0.267856  \n",
       "AT1G52890        -0.417150 -0.454145 -0.029703  \n",
       "AT1G61110        -1.471186 -0.939246 -1.073390  \n",
       "AT3G56530        -0.390855 -0.622157 -0.716331  \n",
       "AT5G13180         0.713946  0.333254  0.833268  \n",
       "AT5G39610         0.116870 -0.293699 -0.111975  \n",
       "AT5G63790         1.400187  1.192962  1.162771  \n",
       "AT5G62000         0.078109 -0.202200 -0.094728  \n",
       "AT3G51910         0.491813  0.092299  0.121725  \n",
       "AT1G06160         0.414906 -0.579894 -0.508185  \n",
       "AT1G25550         0.265117  0.129289  0.465725  \n",
       "AT1G35560         1.255869  1.045798  0.521279  \n",
       "AT1G79320        -1.333620 -1.832687 -1.379271  \n",
       "AT2G18300        -0.629312 -0.872694 -0.937283  \n",
       "AT2G24430        -0.818556 -0.673154 -0.646635  \n",
       "AT2G28510         0.406476  0.378399  0.561661  \n",
       "AT2G40340        -0.958420 -1.108706 -0.681725  \n",
       "AT2G45220         0.434960 -0.657399 -0.631348  \n",
       "AT2G45800        -0.814245 -1.909658 -0.832975  \n",
       "AT3G13040         0.014662  0.558917  0.375843  \n",
       "AT3G23220        -0.040216 -0.219363 -0.055890  \n",
       "AT3G28320        -2.366152 -1.344669 -1.406476  \n",
       "AT3G57600        -1.437098 -1.334290 -1.199049  \n",
       "AT3G58120        -0.748049 -1.448737 -0.825273  \n",
       "...                    ...       ...       ...  \n",
       "AT3G06490        -0.901093 -1.625992 -1.132049  \n",
       "AT1G48000        -0.196482  0.369301  0.505905  \n",
       "AT2G47190        -0.152994 -0.195874 -0.096050  \n",
       "AT3G14440        -0.784919 -0.770334 -0.820327  \n",
       "AT1G75390         0.327278  0.035761  0.419728  \n",
       "AT3G19580        -0.532294 -0.545057 -0.434942  \n",
       "AT1G50420         1.349944  1.164728  1.008839  \n",
       "AT3G02150        -0.346557 -0.572208 -0.330729  \n",
       "AT3G15500        -0.058559 -0.917137 -0.655090  \n",
       "AT3G17790         1.903517  1.760692  1.950602  \n",
       "AT3G48590        -0.232931 -0.496669 -0.401188  \n",
       "AT4G24540        -0.199074 -0.046732 -0.028870  \n",
       "AT5G53980        -1.449803 -1.402029 -1.312642  \n",
       "AT2G38470        -0.286138 -0.301758 -0.468982  \n",
       "AT4G13250         0.141916 -0.096119  0.512876  \n",
       "AT5G06960        -0.295928 -0.723960 -0.425312  \n",
       "AT5G61270        -1.158938 -1.004270 -1.289683  \n",
       "AT3G27310         0.861474  1.194472  1.259530  \n",
       "AT5G13330        -0.192681 -0.480589 -0.426296  \n",
       "AT1G13260        -0.221319 -0.249803 -0.340171  \n",
       "AT5G59820        -0.294968 -0.600780 -0.416241  \n",
       "AT1G17020        -0.300753 -0.940128 -0.489409  \n",
       "AT1G27730        -0.595941 -0.692991 -0.804442  \n",
       "AT1G22070         0.281663  0.849292  1.623970  \n",
       "AT1G80840        -0.545957 -0.388426 -0.694276  \n",
       "AT4G11070        -1.093046 -0.970048 -0.622031  \n",
       "AT3G01970         0.373490 -0.215395  0.146857  \n",
       "AT4G23810         0.275254  0.006417  0.153583  \n",
       "AT5G08290         2.394153  2.312414  2.069649  \n",
       "AT2G41940         0.047317 -0.257111 -0.632788  \n",
       "\n",
       "[96 rows x 192 columns]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inp2 = pd.read_csv(\"../data/Botrytis_Data-twoheader.csv\",header=[0,1],index_col=0)\n",
    "inp2.columns = pd.MultiIndex.from_tuples([(a,float(b)) for a,b in inp2.columns],names=inp2.columns.names)\n",
    "inp2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n = [a for a,b in inp2.columns.values]\n",
    "i = np.flatnonzero(np.array([a==b for a,b in zip(n, n[1:])]))\n",
    "inpX = inp2.iloc[:,i]\n",
    "inpY = inp2.iloc[:,i+1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "</style>\n",
       "\n",
       "<p class=pd>\n",
       "<b>Model</b>: GP regression<br>\n",
       "<b>Log-likelihood</b>: 84.71278171336795<br>\n",
       "<b>Number of Parameters</b>: 3<br>\n",
       "<b>Number of Optimization Parameters</b>: 3<br>\n",
       "<b>Updates</b>: True<br>\n",
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       "<table class=\"tg\">\n",
       "<tr>\n",
       "  <th><b>GP_regression.</b></th>\n",
       "  <th><b>Value</b></th>\n",
       "  <th><b>Constraint</b></th>\n",
       "  <th><b>Prior</b></th>\n",
       "  <th><b>Tied to</b></th>\n",
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       "<tr><td class=tg-left>rbf.variance           </td><td class=tg-right> 0.207771047081</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>rbf.lengthscale        </td><td class=tg-right>   1.9316836712</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
       "<tr><td class=tg-left>Gaussian_noise.variance</td><td class=tg-right>0.0205263533115</td><td class=tg-left>   +ve    </td><td class=tg-left>     </td><td class=tg-left>       </td></tr>\n",
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      ],
      "text/plain": [
       "<GPy.models.gp_regression.GPRegression at 0x10cd725c0>"
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     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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MhygpMV6m8Fpkp8cSCoWpPN9JU/sgezbnXT3RG/1Y8lLjmA+GONPYRWPnEPtK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tQKPVMtPJjRemhmHdj4SsG+dNwNpCRnRsFiqVmlnBniwM1X95qbFYgpeZFV5m+lWLu053TpQU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c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\n/w8Gdn2pmBVd+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cd81630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "m = GPy.models.GPRegression(inpX.loc[[\"AT5G47230\",\"AT1G22070\"]].T, inpY.loc[[\"AT2G40220\"]].T)\n",
    "m.optimize()\n",
    "m.plot(cmap=\"viridis\")\n",
    "m"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}