9.global-path-weighting.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Global Path Weighting\n",
    "---\n",
    "This notebook will implement and evaluate a method to weight hetnet paths in such a way that they can be compared between metapaths. This is an improvement on ranking by path degree product (pdp), as pdps are not comparable for paths that are part of different metapaths.\n",
    "\n",
    "## Proposed Weighting Method\n",
    "---\n",
    "Thanks to the work done on [generating empirical p-values for metapaths](https://github.com/greenelab/hetmech/issues/134), we can compare the relative importance of different metapaths for a given node pair in a hetnet. To allow comparison between individual paths, we can take the negative log of the p-value (for readability), multiply it for the path degree product for the node pair, and adjust the result based on the number of metapaths of that length."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/benheil/miniconda3/envs/hetmech/lib/python3.6/site-packages/ipykernel/__main__.py:9: DeprecationWarning: The 'neo4j.v1' package is deprecated, import from 'neo4j' instead\n"
     ]
    }
   ],
   "source": [
    "import configparser\n",
    "import math\n",
    "\n",
    "import psycopg2\n",
    "from tqdm import tqdm\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas\n",
    "\n",
    "from neo4j.v1 import GraphDatabase\n",
    "import hetio.readwrite\n",
    "import hetio.neo4j\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The extra quotation marks get SQL to treat the identifiers as strings\n",
    "compound = \"'DB01156'\"  # Bupropion\n",
    "disease = \"'DOID:0050742'\"  # nicotine dependences"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# I created a database.ini file to store the database password\n",
    "parser = configparser.ConfigParser()\n",
    "parser.read('database.ini')\n",
    "\n",
    "db_password = parser['psql']['password']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "SELECT n1.name, n2.name, metapath_id, pc.p_value \n",
      "            FROM dj_hetmech_app_pathcount pc \n",
      "                JOIN dj_hetmech_app_node n1 ON n1.id = source_id \n",
      "                JOIN dj_hetmech_app_node n2 ON n2.id = target_id  \n",
      "            WHERE (n1.identifier='DOID:0050742' AND n2.identifier='DB01156') \n",
      "                OR (n1.identifier='DB01156' AND n2.identifier='DOID:0050742')  \n",
      "            ORDER BY pc.p_value ASC \n",
      "            LIMIT 10;\n",
      "        \n"
     ]
    }
   ],
   "source": [
    "# Query db with psycopg2 to get the top ten metapaths for this pair, and their p-values\n",
    "\n",
    "connection = psycopg2.connect(host = 'phr-greene-007.med.upenn.edu', database = 'dj_hetmech', \n",
    "                              user = 'read_only_user', password = db_password)\n",
    "\n",
    "# Get the p-values for the top ten paths for the given compound and disease\n",
    "query = f\"\"\"SELECT n1.name, n2.name, metapath_id, pc.p_value \n",
    "            FROM dj_hetmech_app_pathcount pc \n",
    "                JOIN dj_hetmech_app_node n1 ON n1.id = source_id \n",
    "                JOIN dj_hetmech_app_node n2 ON n2.id = target_id  \n",
    "            WHERE (n1.identifier={disease} AND n2.identifier={compound}) \n",
    "                OR (n1.identifier={compound} AND n2.identifier={disease})  \n",
    "            ORDER BY pc.p_value ASC \n",
    "            LIMIT 10;\n",
    "        \"\"\"\n",
    "print(query)\n",
    "\n",
    "cursor = connection.cursor()\n",
    "\n",
    "cursor.execute(query)\n",
    "tuple_metapaths = cursor.fetchall()\n",
    "\n",
    "connection.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['CbGbCtD', 'CbGaD', 'CbGbCpD', 'CpDrD', 'CdGr>GdD', 'CdGdDrD']\n"
     ]
    }
   ],
   "source": [
    "# Take the negative log of the p-values\n",
    "\n",
    "# Convert metapaths to a list of lists instead of a tuple of tuples to allow item assignment\n",
    "list_metapaths = [list(metapath) for metapath in tuple_metapaths]\n",
    "for i, _ in enumerate(tuple_metapaths):\n",
    "    list_metapaths[i][3] = -1 * math.log10(tuple_metapaths[i][3])\n",
    "    \n",
    "print([metapath[2] for metapath in list_metapaths])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "url = 'https://github.com/dhimmel/hetionet/raw/76550e6c93fbe92124edc71725e8c7dd4ca8b1f5/hetnet/json/hetionet-v1.0.json.bz2'\n",
    "metagraph = hetio.readwrite.read_metagraph(url)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "compound = \"DB01156\"  # Bupropion\n",
    "disease = \"DOID:0050742\"  # nicotine dependences\n",
    "\n",
    "damping_exponent = .4\n",
    "\n",
    "all_metapath_results = []\n",
    "\n",
    "for metapath in list_metapaths:\n",
    "    metapath_data = metagraph.metapath_from_abbrev(metapath[2])\n",
    "    \n",
    "    query = hetio.neo4j.construct_pdp_query(metapath_data, path_style='list', property='identifier')\n",
    "    \n",
    "    driver = GraphDatabase.driver(\"bolt://neo4j.het.io\")\n",
    "    params = {\n",
    "        'source': compound,\n",
    "        'target': disease,\n",
    "        'w': damping_exponent\n",
    "    }\n",
    "    with driver.session() as session:\n",
    "        metapath_result = session.run(query, params)\n",
    "        metapath_result = metapath_result.data()\n",
    "        all_metapath_results.append(metapath_result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PDP</th>\n",
       "      <th>metapath_abbr</th>\n",
       "      <th>metapath_importance</th>\n",
       "      <th>path_importance</th>\n",
       "      <th>percent_of_DWPC</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>path</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Bupropion–CHRNA3–Varenicline–nicotine dependence</th>\n",
       "      <td>0.028646</td>\n",
       "      <td>CbGbCtD</td>\n",
       "      <td>2.439276</td>\n",
       "      <td>243.927569</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CHRNA3–nicotine dependence</th>\n",
       "      <td>0.026062</td>\n",
       "      <td>CbGaD</td>\n",
       "      <td>2.144757</td>\n",
       "      <td>214.475654</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–attention deficit hyperactivity disorder–nicotine dependence</th>\n",
       "      <td>0.078028</td>\n",
       "      <td>CpDrD</td>\n",
       "      <td>1.793702</td>\n",
       "      <td>179.370185</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CHRNA3–Nicotine–nicotine dependence</th>\n",
       "      <td>0.014665</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>110.116714</td>\n",
       "      <td>53.692628</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MRPL19–alcohol dependence–nicotine dependence</th>\n",
       "      <td>0.002399</td>\n",
       "      <td>CdGdDrD</td>\n",
       "      <td>1.027179</td>\n",
       "      <td>102.717904</td>\n",
       "      <td>100.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2A6–Nicotine–nicotine dependence</th>\n",
       "      <td>0.003127</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>23.484103</td>\n",
       "      <td>11.450788</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2E1–Nicotine–nicotine dependence</th>\n",
       "      <td>0.002064</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>15.498400</td>\n",
       "      <td>7.556980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2B6–Nicotine–nicotine dependence</th>\n",
       "      <td>0.002036</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>15.287893</td>\n",
       "      <td>7.454338</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2C8–Nicotine–nicotine dependence</th>\n",
       "      <td>0.001542</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>11.579240</td>\n",
       "      <td>5.646008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP1A2–Nicotine–nicotine dependence</th>\n",
       "      <td>0.001194</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>8.963363</td>\n",
       "      <td>4.370513</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2C9–Nicotine–nicotine dependence</th>\n",
       "      <td>0.001076</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>8.076296</td>\n",
       "      <td>3.937981</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–FRAT2–nicotine dependence</th>\n",
       "      <td>0.000763</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>7.706402</td>\n",
       "      <td>7.384214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP2D6–Nicotine–nicotine dependence</th>\n",
       "      <td>0.000983</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>7.385147</td>\n",
       "      <td>3.600979</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–CCDC88C–nicotine dependence</th>\n",
       "      <td>0.000556</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>5.621893</td>\n",
       "      <td>5.386854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–HIST1H2AE–nicotine dependence</th>\n",
       "      <td>0.000537</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>5.429591</td>\n",
       "      <td>5.202592</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–KIAA0930–nicotine dependence</th>\n",
       "      <td>0.000520</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>5.258505</td>\n",
       "      <td>5.038658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–SDHB–LRRC47–nicotine dependence</th>\n",
       "      <td>0.000502</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>5.073123</td>\n",
       "      <td>4.861026</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–CYP3A4–Nicotine–nicotine dependence</th>\n",
       "      <td>0.000625</td>\n",
       "      <td>CbGbCpD</td>\n",
       "      <td>2.050872</td>\n",
       "      <td>4.696058</td>\n",
       "      <td>2.289786</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–KIF2C–HILPDA–nicotine dependence</th>\n",
       "      <td>0.000446</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>4.504625</td>\n",
       "      <td>4.316296</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–DNMBP–nicotine dependence</th>\n",
       "      <td>0.000430</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>4.340622</td>\n",
       "      <td>4.159150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–NCOA1–nicotine dependence</th>\n",
       "      <td>0.000422</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>4.260598</td>\n",
       "      <td>4.082472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–AKAP7–nicotine dependence</th>\n",
       "      <td>0.000394</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.985202</td>\n",
       "      <td>3.818589</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–STXBP1–PAK1–nicotine dependence</th>\n",
       "      <td>0.000383</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.867071</td>\n",
       "      <td>3.705397</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–OXA1L–EGLN1–nicotine dependence</th>\n",
       "      <td>0.000379</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.826784</td>\n",
       "      <td>3.666794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–SLC25A4–LAMB3–nicotine dependence</th>\n",
       "      <td>0.000367</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.706103</td>\n",
       "      <td>3.551158</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MTHFD2–CREBL2–nicotine dependence</th>\n",
       "      <td>0.000358</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.618938</td>\n",
       "      <td>3.467638</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–LMNB1–nicotine dependence</th>\n",
       "      <td>0.000332</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>3.354406</td>\n",
       "      <td>3.214166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ATP6V1D–HIST1H2AE–nicotine dependence</th>\n",
       "      <td>0.000276</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.787970</td>\n",
       "      <td>2.671411</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–OXA1L–EIF3F–nicotine dependence</th>\n",
       "      <td>0.000266</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.683450</td>\n",
       "      <td>2.571261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–PAK6–nicotine dependence</th>\n",
       "      <td>0.000262</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.651592</td>\n",
       "      <td>2.540734</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ADI1–GNB5–nicotine dependence</th>\n",
       "      <td>0.000259</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.616027</td>\n",
       "      <td>2.506657</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–SLC25A4–CENPM–nicotine dependence</th>\n",
       "      <td>0.000253</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.555292</td>\n",
       "      <td>2.448461</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ATP6V0B–FDPS–nicotine dependence</th>\n",
       "      <td>0.000205</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>2.068580</td>\n",
       "      <td>1.982097</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MRPL19–ANKRD46–nicotine dependence</th>\n",
       "      <td>0.000177</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.790618</td>\n",
       "      <td>1.715756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–OXA1L–NT5E–nicotine dependence</th>\n",
       "      <td>0.000165</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.665704</td>\n",
       "      <td>1.596065</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ATP6V1D–GABPB1–nicotine dependence</th>\n",
       "      <td>0.000163</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.643144</td>\n",
       "      <td>1.574447</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–OXA1L–PAK6–nicotine dependence</th>\n",
       "      <td>0.000149</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.506399</td>\n",
       "      <td>1.443420</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ATP6V0B–ACAT2–nicotine dependence</th>\n",
       "      <td>0.000148</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.491136</td>\n",
       "      <td>1.428794</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–GNAS–BNIP3L–nicotine dependence</th>\n",
       "      <td>0.000140</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.417149</td>\n",
       "      <td>1.357901</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–SDHB–ACAT2–nicotine dependence</th>\n",
       "      <td>0.000137</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.388863</td>\n",
       "      <td>1.330797</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–USP22–DFFB–nicotine dependence</th>\n",
       "      <td>0.000134</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.349288</td>\n",
       "      <td>1.292877</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–SLC25A4–ANXA4–nicotine dependence</th>\n",
       "      <td>0.000131</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.325719</td>\n",
       "      <td>1.270294</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–DCTD–nicotine dependence</th>\n",
       "      <td>0.000118</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.193244</td>\n",
       "      <td>1.143357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–PARP2–nicotine dependence</th>\n",
       "      <td>0.000115</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.161466</td>\n",
       "      <td>1.112907</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–GNAS–GMNN–nicotine dependence</th>\n",
       "      <td>0.000115</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.161151</td>\n",
       "      <td>1.112606</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–USP22–ACAT2–nicotine dependence</th>\n",
       "      <td>0.000112</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.133658</td>\n",
       "      <td>1.086262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–KIF2C–CTNNAL1–nicotine dependence</th>\n",
       "      <td>0.000102</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>1.033447</td>\n",
       "      <td>0.990241</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–ATP6V1D–CDK1–nicotine dependence</th>\n",
       "      <td>0.000081</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.818441</td>\n",
       "      <td>0.784224</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MTHFD2–CDK1–nicotine dependence</th>\n",
       "      <td>0.000074</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.748507</td>\n",
       "      <td>0.717214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–KIF2C–PARP2–nicotine dependence</th>\n",
       "      <td>0.000072</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.730274</td>\n",
       "      <td>0.699743</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–HDAC6–GNAI1–nicotine dependence</th>\n",
       "      <td>0.000071</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.717555</td>\n",
       "      <td>0.687555</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–DLD–CDK1–nicotine dependence</th>\n",
       "      <td>0.000065</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.652443</td>\n",
       "      <td>0.625166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–DLD–GMNN–nicotine dependence</th>\n",
       "      <td>0.000064</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.649421</td>\n",
       "      <td>0.622270</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MTHFD2–PAK1–nicotine dependence</th>\n",
       "      <td>0.000052</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.529709</td>\n",
       "      <td>0.507563</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Bupropion–MYC–GNAI1–nicotine dependence</th>\n",
       "      <td>0.000034</td>\n",
       "      <td>CdGr&gt;GdD</td>\n",
       "      <td>1.043632</td>\n",
       "      <td>0.339094</td>\n",
       "      <td>0.324917</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                         PDP metapath_abbr  \\\n",
       "path                                                                         \n",
       "Bupropion–CHRNA3–Varenicline–nicotine dependence    0.028646       CbGbCtD   \n",
       "Bupropion–CHRNA3–nicotine dependence                0.026062         CbGaD   \n",
       "Bupropion–attention deficit hyperactivity disor...  0.078028         CpDrD   \n",
       "Bupropion–CHRNA3–Nicotine–nicotine dependence       0.014665       CbGbCpD   \n",
       "Bupropion–MRPL19–alcohol dependence–nicotine de...  0.002399       CdGdDrD   \n",
       "Bupropion–CYP2A6–Nicotine–nicotine dependence       0.003127       CbGbCpD   \n",
       "Bupropion–CYP2E1–Nicotine–nicotine dependence       0.002064       CbGbCpD   \n",
       "Bupropion–CYP2B6–Nicotine–nicotine dependence       0.002036       CbGbCpD   \n",
       "Bupropion–CYP2C8–Nicotine–nicotine dependence       0.001542       CbGbCpD   \n",
       "Bupropion–CYP1A2–Nicotine–nicotine dependence       0.001194       CbGbCpD   \n",
       "Bupropion–CYP2C9–Nicotine–nicotine dependence       0.001076       CbGbCpD   \n",
       "Bupropion–HDAC6–FRAT2–nicotine dependence           0.000763      CdGr>GdD   \n",
       "Bupropion–CYP2D6–Nicotine–nicotine dependence       0.000983       CbGbCpD   \n",
       "Bupropion–HDAC6–CCDC88C–nicotine dependence         0.000556      CdGr>GdD   \n",
       "Bupropion–HDAC6–HIST1H2AE–nicotine dependence       0.000537      CdGr>GdD   \n",
       "Bupropion–HDAC6–KIAA0930–nicotine dependence        0.000520      CdGr>GdD   \n",
       "Bupropion–SDHB–LRRC47–nicotine dependence           0.000502      CdGr>GdD   \n",
       "Bupropion–CYP3A4–Nicotine–nicotine dependence       0.000625       CbGbCpD   \n",
       "Bupropion–KIF2C–HILPDA–nicotine dependence          0.000446      CdGr>GdD   \n",
       "Bupropion–HDAC6–DNMBP–nicotine dependence           0.000430      CdGr>GdD   \n",
       "Bupropion–HDAC6–NCOA1–nicotine dependence           0.000422      CdGr>GdD   \n",
       "Bupropion–HDAC6–AKAP7–nicotine dependence           0.000394      CdGr>GdD   \n",
       "Bupropion–STXBP1–PAK1–nicotine dependence           0.000383      CdGr>GdD   \n",
       "Bupropion–OXA1L–EGLN1–nicotine dependence           0.000379      CdGr>GdD   \n",
       "Bupropion–SLC25A4–LAMB3–nicotine dependence         0.000367      CdGr>GdD   \n",
       "Bupropion–MTHFD2–CREBL2–nicotine dependence         0.000358      CdGr>GdD   \n",
       "Bupropion–HDAC6–LMNB1–nicotine dependence           0.000332      CdGr>GdD   \n",
       "Bupropion–ATP6V1D–HIST1H2AE–nicotine dependence     0.000276      CdGr>GdD   \n",
       "Bupropion–OXA1L–EIF3F–nicotine dependence           0.000266      CdGr>GdD   \n",
       "Bupropion–HDAC6–PAK6–nicotine dependence            0.000262      CdGr>GdD   \n",
       "Bupropion–ADI1–GNB5–nicotine dependence             0.000259      CdGr>GdD   \n",
       "Bupropion–SLC25A4–CENPM–nicotine dependence         0.000253      CdGr>GdD   \n",
       "Bupropion–ATP6V0B–FDPS–nicotine dependence          0.000205      CdGr>GdD   \n",
       "Bupropion–MRPL19–ANKRD46–nicotine dependence        0.000177      CdGr>GdD   \n",
       "Bupropion–OXA1L–NT5E–nicotine dependence            0.000165      CdGr>GdD   \n",
       "Bupropion–ATP6V1D–GABPB1–nicotine dependence        0.000163      CdGr>GdD   \n",
       "Bupropion–OXA1L–PAK6–nicotine dependence            0.000149      CdGr>GdD   \n",
       "Bupropion–ATP6V0B–ACAT2–nicotine dependence         0.000148      CdGr>GdD   \n",
       "Bupropion–GNAS–BNIP3L–nicotine dependence           0.000140      CdGr>GdD   \n",
       "Bupropion–SDHB–ACAT2–nicotine dependence            0.000137      CdGr>GdD   \n",
       "Bupropion–USP22–DFFB–nicotine dependence            0.000134      CdGr>GdD   \n",
       "Bupropion–SLC25A4–ANXA4–nicotine dependence         0.000131      CdGr>GdD   \n",
       "Bupropion–HDAC6–DCTD–nicotine dependence            0.000118      CdGr>GdD   \n",
       "Bupropion–HDAC6–PARP2–nicotine dependence           0.000115      CdGr>GdD   \n",
       "Bupropion–GNAS–GMNN–nicotine dependence             0.000115      CdGr>GdD   \n",
       "Bupropion–USP22–ACAT2–nicotine dependence           0.000112      CdGr>GdD   \n",
       "Bupropion–KIF2C–CTNNAL1–nicotine dependence         0.000102      CdGr>GdD   \n",
       "Bupropion–ATP6V1D–CDK1–nicotine dependence          0.000081      CdGr>GdD   \n",
       "Bupropion–MTHFD2–CDK1–nicotine dependence           0.000074      CdGr>GdD   \n",
       "Bupropion–KIF2C–PARP2–nicotine dependence           0.000072      CdGr>GdD   \n",
       "Bupropion–HDAC6–GNAI1–nicotine dependence           0.000071      CdGr>GdD   \n",
       "Bupropion–DLD–CDK1–nicotine dependence              0.000065      CdGr>GdD   \n",
       "Bupropion–DLD–GMNN–nicotine dependence              0.000064      CdGr>GdD   \n",
       "Bupropion–MTHFD2–PAK1–nicotine dependence           0.000052      CdGr>GdD   \n",
       "Bupropion–MYC–GNAI1–nicotine dependence             0.000034      CdGr>GdD   \n",
       "\n",
       "                                                    metapath_importance  \\\n",
       "path                                                                      \n",
       "Bupropion–CHRNA3–Varenicline–nicotine dependence               2.439276   \n",
       "Bupropion–CHRNA3–nicotine dependence                           2.144757   \n",
       "Bupropion–attention deficit hyperactivity disor...             1.793702   \n",
       "Bupropion–CHRNA3–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–MRPL19–alcohol dependence–nicotine de...             1.027179   \n",
       "Bupropion–CYP2A6–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–CYP2E1–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–CYP2B6–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–CYP2C8–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–CYP1A2–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–CYP2C9–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–HDAC6–FRAT2–nicotine dependence                      1.043632   \n",
       "Bupropion–CYP2D6–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–HDAC6–CCDC88C–nicotine dependence                    1.043632   \n",
       "Bupropion–HDAC6–HIST1H2AE–nicotine dependence                  1.043632   \n",
       "Bupropion–HDAC6–KIAA0930–nicotine dependence                   1.043632   \n",
       "Bupropion–SDHB–LRRC47–nicotine dependence                      1.043632   \n",
       "Bupropion–CYP3A4–Nicotine–nicotine dependence                  2.050872   \n",
       "Bupropion–KIF2C–HILPDA–nicotine dependence                     1.043632   \n",
       "Bupropion–HDAC6–DNMBP–nicotine dependence                      1.043632   \n",
       "Bupropion–HDAC6–NCOA1–nicotine dependence                      1.043632   \n",
       "Bupropion–HDAC6–AKAP7–nicotine dependence                      1.043632   \n",
       "Bupropion–STXBP1–PAK1–nicotine dependence                      1.043632   \n",
       "Bupropion–OXA1L–EGLN1–nicotine dependence                      1.043632   \n",
       "Bupropion–SLC25A4–LAMB3–nicotine dependence                    1.043632   \n",
       "Bupropion–MTHFD2–CREBL2–nicotine dependence                    1.043632   \n",
       "Bupropion–HDAC6–LMNB1–nicotine dependence                      1.043632   \n",
       "Bupropion–ATP6V1D–HIST1H2AE–nicotine dependence                1.043632   \n",
       "Bupropion–OXA1L–EIF3F–nicotine dependence                      1.043632   \n",
       "Bupropion–HDAC6–PAK6–nicotine dependence                       1.043632   \n",
       "Bupropion–ADI1–GNB5–nicotine dependence                        1.043632   \n",
       "Bupropion–SLC25A4–CENPM–nicotine dependence                    1.043632   \n",
       "Bupropion–ATP6V0B–FDPS–nicotine dependence                     1.043632   \n",
       "Bupropion–MRPL19–ANKRD46–nicotine dependence                   1.043632   \n",
       "Bupropion–OXA1L–NT5E–nicotine dependence                       1.043632   \n",
       "Bupropion–ATP6V1D–GABPB1–nicotine dependence                   1.043632   \n",
       "Bupropion–OXA1L–PAK6–nicotine dependence                       1.043632   \n",
       "Bupropion–ATP6V0B–ACAT2–nicotine dependence                    1.043632   \n",
       "Bupropion–GNAS–BNIP3L–nicotine dependence                      1.043632   \n",
       "Bupropion–SDHB–ACAT2–nicotine dependence                       1.043632   \n",
       "Bupropion–USP22–DFFB–nicotine dependence                       1.043632   \n",
       "Bupropion–SLC25A4–ANXA4–nicotine dependence                    1.043632   \n",
       "Bupropion–HDAC6–DCTD–nicotine dependence                       1.043632   \n",
       "Bupropion–HDAC6–PARP2–nicotine dependence                      1.043632   \n",
       "Bupropion–GNAS–GMNN–nicotine dependence                        1.043632   \n",
       "Bupropion–USP22–ACAT2–nicotine dependence                      1.043632   \n",
       "Bupropion–KIF2C–CTNNAL1–nicotine dependence                    1.043632   \n",
       "Bupropion–ATP6V1D–CDK1–nicotine dependence                     1.043632   \n",
       "Bupropion–MTHFD2–CDK1–nicotine dependence                      1.043632   \n",
       "Bupropion–KIF2C–PARP2–nicotine dependence                      1.043632   \n",
       "Bupropion–HDAC6–GNAI1–nicotine dependence                      1.043632   \n",
       "Bupropion–DLD–CDK1–nicotine dependence                         1.043632   \n",
       "Bupropion–DLD–GMNN–nicotine dependence                         1.043632   \n",
       "Bupropion–MTHFD2–PAK1–nicotine dependence                      1.043632   \n",
       "Bupropion–MYC–GNAI1–nicotine dependence                        1.043632   \n",
       "\n",
       "                                                    path_importance  \\\n",
       "path                                                                  \n",
       "Bupropion–CHRNA3–Varenicline–nicotine dependence         243.927569   \n",
       "Bupropion–CHRNA3–nicotine dependence                     214.475654   \n",
       "Bupropion–attention deficit hyperactivity disor...       179.370185   \n",
       "Bupropion–CHRNA3–Nicotine–nicotine dependence            110.116714   \n",
       "Bupropion–MRPL19–alcohol dependence–nicotine de...       102.717904   \n",
       "Bupropion–CYP2A6–Nicotine–nicotine dependence             23.484103   \n",
       "Bupropion–CYP2E1–Nicotine–nicotine dependence             15.498400   \n",
       "Bupropion–CYP2B6–Nicotine–nicotine dependence             15.287893   \n",
       "Bupropion–CYP2C8–Nicotine–nicotine dependence             11.579240   \n",
       "Bupropion–CYP1A2–Nicotine–nicotine dependence              8.963363   \n",
       "Bupropion–CYP2C9–Nicotine–nicotine dependence              8.076296   \n",
       "Bupropion–HDAC6–FRAT2–nicotine dependence                  7.706402   \n",
       "Bupropion–CYP2D6–Nicotine–nicotine dependence              7.385147   \n",
       "Bupropion–HDAC6–CCDC88C–nicotine dependence                5.621893   \n",
       "Bupropion–HDAC6–HIST1H2AE–nicotine dependence              5.429591   \n",
       "Bupropion–HDAC6–KIAA0930–nicotine dependence               5.258505   \n",
       "Bupropion–SDHB–LRRC47–nicotine dependence                  5.073123   \n",
       "Bupropion–CYP3A4–Nicotine–nicotine dependence              4.696058   \n",
       "Bupropion–KIF2C–HILPDA–nicotine dependence                 4.504625   \n",
       "Bupropion–HDAC6–DNMBP–nicotine dependence                  4.340622   \n",
       "Bupropion–HDAC6–NCOA1–nicotine dependence                  4.260598   \n",
       "Bupropion–HDAC6–AKAP7–nicotine dependence                  3.985202   \n",
       "Bupropion–STXBP1–PAK1–nicotine dependence                  3.867071   \n",
       "Bupropion–OXA1L–EGLN1–nicotine dependence                  3.826784   \n",
       "Bupropion–SLC25A4–LAMB3–nicotine dependence                3.706103   \n",
       "Bupropion–MTHFD2–CREBL2–nicotine dependence                3.618938   \n",
       "Bupropion–HDAC6–LMNB1–nicotine dependence                  3.354406   \n",
       "Bupropion–ATP6V1D–HIST1H2AE–nicotine dependence            2.787970   \n",
       "Bupropion–OXA1L–EIF3F–nicotine dependence                  2.683450   \n",
       "Bupropion–HDAC6–PAK6–nicotine dependence                   2.651592   \n",
       "Bupropion–ADI1–GNB5–nicotine dependence                    2.616027   \n",
       "Bupropion–SLC25A4–CENPM–nicotine dependence                2.555292   \n",
       "Bupropion–ATP6V0B–FDPS–nicotine dependence                 2.068580   \n",
       "Bupropion–MRPL19–ANKRD46–nicotine dependence               1.790618   \n",
       "Bupropion–OXA1L–NT5E–nicotine dependence                   1.665704   \n",
       "Bupropion–ATP6V1D–GABPB1–nicotine dependence               1.643144   \n",
       "Bupropion–OXA1L–PAK6–nicotine dependence                   1.506399   \n",
       "Bupropion–ATP6V0B–ACAT2–nicotine dependence                1.491136   \n",
       "Bupropion–GNAS–BNIP3L–nicotine dependence                  1.417149   \n",
       "Bupropion–SDHB–ACAT2–nicotine dependence                   1.388863   \n",
       "Bupropion–USP22–DFFB–nicotine dependence                   1.349288   \n",
       "Bupropion–SLC25A4–ANXA4–nicotine dependence                1.325719   \n",
       "Bupropion–HDAC6–DCTD–nicotine dependence                   1.193244   \n",
       "Bupropion–HDAC6–PARP2–nicotine dependence                  1.161466   \n",
       "Bupropion–GNAS–GMNN–nicotine dependence                    1.161151   \n",
       "Bupropion–USP22–ACAT2–nicotine dependence                  1.133658   \n",
       "Bupropion–KIF2C–CTNNAL1–nicotine dependence                1.033447   \n",
       "Bupropion–ATP6V1D–CDK1–nicotine dependence                 0.818441   \n",
       "Bupropion–MTHFD2–CDK1–nicotine dependence                  0.748507   \n",
       "Bupropion–KIF2C–PARP2–nicotine dependence                  0.730274   \n",
       "Bupropion–HDAC6–GNAI1–nicotine dependence                  0.717555   \n",
       "Bupropion–DLD–CDK1–nicotine dependence                     0.652443   \n",
       "Bupropion–DLD–GMNN–nicotine dependence                     0.649421   \n",
       "Bupropion–MTHFD2–PAK1–nicotine dependence                  0.529709   \n",
       "Bupropion–MYC–GNAI1–nicotine dependence                    0.339094   \n",
       "\n",
       "                                                    percent_of_DWPC  \n",
       "path                                                                 \n",
       "Bupropion–CHRNA3–Varenicline–nicotine dependence         100.000000  \n",
       "Bupropion–CHRNA3–nicotine dependence                     100.000000  \n",
       "Bupropion–attention deficit hyperactivity disor...       100.000000  \n",
       "Bupropion–CHRNA3–Nicotine–nicotine dependence             53.692628  \n",
       "Bupropion–MRPL19–alcohol dependence–nicotine de...       100.000000  \n",
       "Bupropion–CYP2A6–Nicotine–nicotine dependence             11.450788  \n",
       "Bupropion–CYP2E1–Nicotine–nicotine dependence              7.556980  \n",
       "Bupropion–CYP2B6–Nicotine–nicotine dependence              7.454338  \n",
       "Bupropion–CYP2C8–Nicotine–nicotine dependence              5.646008  \n",
       "Bupropion–CYP1A2–Nicotine–nicotine dependence              4.370513  \n",
       "Bupropion–CYP2C9–Nicotine–nicotine dependence              3.937981  \n",
       "Bupropion–HDAC6–FRAT2–nicotine dependence                  7.384214  \n",
       "Bupropion–CYP2D6–Nicotine–nicotine dependence              3.600979  \n",
       "Bupropion–HDAC6–CCDC88C–nicotine dependence                5.386854  \n",
       "Bupropion–HDAC6–HIST1H2AE–nicotine dependence              5.202592  \n",
       "Bupropion–HDAC6–KIAA0930–nicotine dependence               5.038658  \n",
       "Bupropion–SDHB–LRRC47–nicotine dependence                  4.861026  \n",
       "Bupropion–CYP3A4–Nicotine–nicotine dependence              2.289786  \n",
       "Bupropion–KIF2C–HILPDA–nicotine dependence                 4.316296  \n",
       "Bupropion–HDAC6–DNMBP–nicotine dependence                  4.159150  \n",
       "Bupropion–HDAC6–NCOA1–nicotine dependence                  4.082472  \n",
       "Bupropion–HDAC6–AKAP7–nicotine dependence                  3.818589  \n",
       "Bupropion–STXBP1–PAK1–nicotine dependence                  3.705397  \n",
       "Bupropion–OXA1L–EGLN1–nicotine dependence                  3.666794  \n",
       "Bupropion–SLC25A4–LAMB3–nicotine dependence                3.551158  \n",
       "Bupropion–MTHFD2–CREBL2–nicotine dependence                3.467638  \n",
       "Bupropion–HDAC6–LMNB1–nicotine dependence                  3.214166  \n",
       "Bupropion–ATP6V1D–HIST1H2AE–nicotine dependence            2.671411  \n",
       "Bupropion–OXA1L–EIF3F–nicotine dependence                  2.571261  \n",
       "Bupropion–HDAC6–PAK6–nicotine dependence                   2.540734  \n",
       "Bupropion–ADI1–GNB5–nicotine dependence                    2.506657  \n",
       "Bupropion–SLC25A4–CENPM–nicotine dependence                2.448461  \n",
       "Bupropion–ATP6V0B–FDPS–nicotine dependence                 1.982097  \n",
       "Bupropion–MRPL19–ANKRD46–nicotine dependence               1.715756  \n",
       "Bupropion–OXA1L–NT5E–nicotine dependence                   1.596065  \n",
       "Bupropion–ATP6V1D–GABPB1–nicotine dependence               1.574447  \n",
       "Bupropion–OXA1L–PAK6–nicotine dependence                   1.443420  \n",
       "Bupropion–ATP6V0B–ACAT2–nicotine dependence                1.428794  \n",
       "Bupropion–GNAS–BNIP3L–nicotine dependence                  1.357901  \n",
       "Bupropion–SDHB–ACAT2–nicotine dependence                   1.330797  \n",
       "Bupropion–USP22–DFFB–nicotine dependence                   1.292877  \n",
       "Bupropion–SLC25A4–ANXA4–nicotine dependence                1.270294  \n",
       "Bupropion–HDAC6–DCTD–nicotine dependence                   1.143357  \n",
       "Bupropion–HDAC6–PARP2–nicotine dependence                  1.112907  \n",
       "Bupropion–GNAS–GMNN–nicotine dependence                    1.112606  \n",
       "Bupropion–USP22–ACAT2–nicotine dependence                  1.086262  \n",
       "Bupropion–KIF2C–CTNNAL1–nicotine dependence                0.990241  \n",
       "Bupropion–ATP6V1D–CDK1–nicotine dependence                 0.784224  \n",
       "Bupropion–MTHFD2–CDK1–nicotine dependence                  0.717214  \n",
       "Bupropion–KIF2C–PARP2–nicotine dependence                  0.699743  \n",
       "Bupropion–HDAC6–GNAI1–nicotine dependence                  0.687555  \n",
       "Bupropion–DLD–CDK1–nicotine dependence                     0.625166  \n",
       "Bupropion–DLD–GMNN–nicotine dependence                     0.622270  \n",
       "Bupropion–MTHFD2–PAK1–nicotine dependence                  0.507563  \n",
       "Bupropion–MYC–GNAI1–nicotine dependence                    0.324917  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "paths = []\n",
    "\n",
    "for metapath_result, metapath_info in zip(all_metapath_results, list_metapaths):\n",
    "    metapath_importance = metapath_info[3]\n",
    "    for path_dict in metapath_result:\n",
    "        path_dict['path_importance'] = metapath_importance * path_dict['percent_of_DWPC']\n",
    "        path_dict['metapath_importance'] = metapath_importance\n",
    "        path_dict['path'] = '–'.join(path_dict['path'])\n",
    "        path_dict['metapath_abbr'] = metapath_info[2] \n",
    "        paths.append(path_dict)\n",
    "    \n",
    "paths = sorted(paths, key= lambda x: x['path_importance'], reverse=True)\n",
    "\n",
    "pandas.DataFrame(paths).set_index('path')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "importances = [path['path_importance'] for path in paths]\n",
    "\n",
    "plt.plot(importances)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:hetmech]",
   "language": "python",
   "name": "conda-env-hetmech-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}