gplus_analysis.ipynb

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   "source": [
    "import os\n",
    "import datetime\n",
    "import snap\n",
    "import seaborn           as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from src.helper_funcs    import make_genders_dict\n",
    "from src.helper_funcs    import eliminate_no_gender_nodes\n",
    "from src.helper_funcs    import get_gender_counters\n",
    "from src.helper_funcs    import save_score_results, load_score_results\n",
    "from src.fairness_funcs  import calculate_in_class_homophily\n",
    "from src.fairness_funcs  import calculate_top_k_class_rate\n",
    "from src.fairness_funcs  import calculate_scores\n",
    "from src.fairness_funcs  import calculate_gini_coefficient"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5a3d8dae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# PLOTTING CONFIGURATIONS\n",
    "\n",
    "# enable inline plotting\n",
    "%matplotlib inline\n",
    "\n",
    "# set format to svg for better resolution\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "\n",
    "# apply default theme in seaborn\n",
    "sns.set_theme()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6a476021",
   "metadata": {},
   "source": [
    "### Read the names of the ego networks\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b0579c56",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Read ego network filenames\n",
    "gplus_dir = \"datasets/g_plus/gplus\"\n",
    "ego_net_filenames = []\n",
    "\n",
    "# Read ego network names\n",
    "for filename in os.listdir(gplus_dir):\n",
    "    ego_net_filenames.append(filename.split('.')[0])\n",
    "    \n",
    "# Keep name only once\n",
    "\n",
    "ego_net_filenames = list(dict.fromkeys(ego_net_filenames))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81f66dc2",
   "metadata": {},
   "source": [
    "### Calculate scores\n",
    "\n",
    "---\n",
    "\n",
    "- Calculate scores based on *ranking_algorithms* algorithms\n",
    "- Save scores in files for later processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "8ecb5aa2",
   "metadata": {
    "scrolled": false
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   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2022-06-08 21:28:03.031036]: 5/125 networks are processed\n",
      "[2022-06-08 21:29:25.228793]: 10/125 networks are processed\n",
      "[2022-06-08 21:31:50.763653]: 15/125 networks are processed\n",
      "[2022-06-08 21:38:35.629047]: 20/125 networks are processed\n",
      "[2022-06-08 21:39:26.703670]: 25/125 networks are processed\n",
      "[2022-06-08 21:40:36.079709]: 30/125 networks are processed\n",
      "[2022-06-08 21:47:41.382353]: 35/125 networks are processed\n",
      "[2022-06-08 21:50:57.171874]: 40/125 networks are processed\n",
      "[2022-06-08 21:58:46.416364]: 45/125 networks are processed\n",
      "[2022-06-08 22:04:32.498738]: 50/125 networks are processed\n",
      "[2022-06-08 22:07:12.332851]: 55/125 networks are processed\n",
      "[2022-06-08 22:13:38.410865]: 60/125 networks are processed\n",
      "[2022-06-08 22:16:46.271597]: 65/125 networks are processed\n",
      "[2022-06-08 22:19:20.531854]: 70/125 networks are processed\n",
      "[2022-06-08 22:20:44.727545]: 75/125 networks are processed\n",
      "[2022-06-08 22:24:53.412336]: 80/125 networks are processed\n",
      "[2022-06-08 22:26:58.094622]: 85/125 networks are processed\n",
      "[2022-06-08 22:31:34.539183]: 90/125 networks are processed\n",
      "[2022-06-08 22:35:09.514114]: 95/125 networks are processed\n",
      "[2022-06-08 22:42:04.980679]: 100/125 networks are processed\n",
      "[2022-06-08 22:44:12.618684]: 105/125 networks are processed\n",
      "[2022-06-08 22:46:08.969699]: 110/125 networks are processed\n",
      "[2022-06-08 22:48:39.073715]: 115/125 networks are processed\n",
      "[2022-06-08 22:52:26.994510]: 120/125 networks are processed\n",
      "[2022-06-08 22:54:49.524307]: 125/125 networks are processed\n"
     ]
    }
   ],
   "source": [
    "# Calculate rankings for every ego network and save them for processing later\n",
    "ranking_algorithms = ['pagerank', 'eccentricity']\n",
    "\n",
    "processed_cnt = 0\n",
    "for ego_net_filename in ego_net_filenames:\n",
    "    # Load network\n",
    "    (graph, nodes_mapping) = snap.LoadEdgeListStr(snap.TNGraph,\n",
    "                                                  f\"{os.path.join(gplus_dir, ego_net_filename)}.edges\",\n",
    "                                                  Mapping=True)\n",
    "    \n",
    "    # Create dictionary with the gender of each node\n",
    "    genders_dict = make_genders_dict(f\"{os.path.join(gplus_dir, ego_net_filename)}.feat\",\n",
    "                                     nodes_mapping,\n",
    "                                     1,\n",
    "                                     3)\n",
    "    \n",
    "    # Eliminate no gender nodes\n",
    "    graph, genders_dict = eliminate_no_gender_nodes(graph, genders_dict)\n",
    "    \n",
    "    # Calculate gender counters\n",
    "    gender_counters = get_gender_counters(genders_dict)\n",
    "    \n",
    "    # ----------\n",
    "    # Calculate scores based on given algorithms\n",
    "    for ranking_alg in ranking_algorithms:\n",
    "        scores = calculate_scores(graph,\n",
    "                                  algorithm=ranking_alg,\n",
    "                                  sorted_bool=True)\n",
    "        \n",
    "        # Write to file\n",
    "        save_score_results(directory_path=f\"ranking_scores/gplus/{ranking_alg}\",\n",
    "                           network_name=ego_net_filename,\n",
    "                           algorithm_str=ranking_alg,\n",
    "                           scores=scores,\n",
    "                           genders_dict=genders_dict,\n",
    "                           mapping=nodes_mapping)\n",
    "\n",
    "    # ----------\n",
    "    \n",
    "    # A simple print for log\n",
    "    processed_cnt += 1\n",
    "    if processed_cnt % 5 == 0:\n",
    "        print(f\"[{datetime.datetime.now()}]: {processed_cnt}/{len(ego_net_filenames)} networks are processed\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4419b5fe",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "### Inequality evaluation\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "eb017a56",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2022-06-13 13:52:35.360549]: 5 networks are processed\n",
      "[2022-06-13 13:53:49.869118]: 10 networks are processed\n",
      "[2022-06-13 13:54:57.081752]: 15 networks are processed\n",
      "[2022-06-13 13:56:49.567225]: 20 networks are processed\n",
      "[2022-06-13 13:57:23.339366]: 25 networks are processed\n",
      "[2022-06-13 13:57:42.404553]: 30 networks are processed\n",
      "[2022-06-13 13:59:23.320451]: 35 networks are processed\n",
      "[2022-06-13 14:01:40.504863]: 40 networks are processed\n",
      "[2022-06-13 14:04:24.248968]: 45 networks are processed\n",
      "[2022-06-13 14:08:19.817019]: 50 networks are processed\n",
      "[2022-06-13 14:09:33.194940]: 55 networks are processed\n",
      "[2022-06-13 14:11:05.754923]: 60 networks are processed\n",
      "[2022-06-13 14:12:32.664778]: 65 networks are processed\n",
      "[2022-06-13 14:13:47.612892]: 70 networks are processed\n",
      "[2022-06-13 14:14:07.391388]: 75 networks are processed\n",
      "[2022-06-13 14:15:48.959147]: 80 networks are processed\n",
      "[2022-06-13 14:17:05.252306]: 85 networks are processed\n",
      "[2022-06-13 14:18:18.493521]: 90 networks are processed\n",
      "[2022-06-13 14:19:17.194885]: 95 networks are processed\n",
      "[2022-06-13 14:22:28.907412]: 100 networks are processed\n",
      "[2022-06-13 14:23:28.520301]: 105 networks are processed\n",
      "[2022-06-13 14:24:34.341250]: 110 networks are processed\n",
      "[2022-06-13 14:27:25.714059]: 115 networks are processed\n",
      "[2022-06-13 14:31:02.628654]: 120 networks are processed\n"
     ]
    }
   ],
   "source": [
    "directory_gplus = 'datasets/g_plus/gplus'\n",
    "# directory_scores = 'ranking_scores/gplus/pagerank'\n",
    "directory_scores = 'ranking_scores/gplus/eccentricity'\n",
    "\n",
    "majority_homophilies = []\n",
    "minority_homophilies = []\n",
    "inequality_top_k_ecc = dict.fromkeys(range(10, 110, 10), 0)\n",
    "\n",
    "# Read scores\n",
    "num_of_files = 0\n",
    "for filename in os.listdir(directory_scores):\n",
    "    num_of_files += 1\n",
    "    # Naming format: '<ego_net>_<algorithm>_scores.txt'\n",
    "    ego_net_filename = filename.split('_')[0]\n",
    "\n",
    "    # Load scores\n",
    "    scores, genders = load_score_results(os.path.join(directory_scores, filename))\n",
    "\n",
    "    # Calculate GINI coefficient for every k in inequality top-k dict\n",
    "    for k in inequality_top_k_ecc:\n",
    "        num_of_top_k_scores = round(len(scores)*k/100)\n",
    "        inequality_top_k_ecc[k] += calculate_gini_coefficient(scores[:num_of_top_k_scores])\n",
    "\n",
    "    if num_of_files % 5 == 0:\n",
    "        print(f\"[{datetime.datetime.now()}]: {num_of_files} networks are processed\")\n",
    "\n",
    "# Calculate average\n",
    "inequality_top_k_ecc = {k: v/num_of_files for k, v in inequality_top_k_ecc.items()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "cbce5bfc",
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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     "metadata": {},
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   ],
   "source": [
    "sc_plot = sns.scatterplot(x=list(inequality_top_k.keys()),\n",
    "                          y=list(inequality_top_k.values()),\n",
    "                          alpha=0.65,\n",
    "                          color='forestgreen')\n",
    "\n",
    "sc_plot.set_title('Inequality in PageRank scores', weight='bold')\n",
    "sc_plot.set_xlabel('top-k%')\n",
    "sc_plot.set_ylabel('GINI coefficient')\n",
    "sc_plot.set_xticks(list(inequality_top_k.keys()))\n",
    "\n",
    "# plt.savefig('pagerank_inequality.png', dpi=1500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0869d354",
   "metadata": {},
   "outputs": [
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   "source": [
    "sc_plot = sns.scatterplot(x=list(inequality_top_k_ecc.keys()),\n",
    "                          y=list(inequality_top_k_ecc.values()),\n",
    "                          alpha=0.65,\n",
    "                          color='steelblue')\n",
    "\n",
    "sc_plot.set_title('Inequality in eccentricity scores', weight='bold')\n",
    "sc_plot.set_xlabel('top-k%')\n",
    "sc_plot.set_ylabel('GINI coefficient')\n",
    "sc_plot.set_xticks(list(inequality_top_k_ecc.keys()))\n",
    "\n",
    "# plt.savefig('eccentricity_inequality.png', dpi=1500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a650d119",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "### Inequity evaluation\n",
    "\n",
    "$$\n",
    "Inequity = \\frac{top\\_k\\_minority - overall\\_minority}{overall\\_minority}\n",
    "$$\n",
    "\n",
    "Inequity value > 0: Over-representation of minority <br>\n",
    "\n",
    "Inequity value < 0: Under-representation of minority"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a05fbb2f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{5: -0.07499876063434854, 10: -0.0858716352908053, 15: -0.07985373739815398, 20: -0.07142554482767463, 25: -0.07538275380975511, 30: -0.07169812273991931, 35: -0.07940215320513526, 40: -0.07590864426375231, 45: -0.06762602556486746, 50: -0.06115427199949141, 55: -0.05712380527039104, 60: -0.048711544310864045, 65: -0.037902744610295185, 70: -0.03390216968778002, 75: -0.02607090753178241, 80: -0.02162048449247952, 85: -0.01387984816727941, 90: -0.008273732360001075, 95: -0.008007606561814996, 100: 0.0}\n"
     ]
    }
   ],
   "source": [
    "directory_gplus = 'datasets/g_plus/gplus'\n",
    "# directory_scores = 'ranking_scores/gplus/pagerank'\n",
    "directory_scores = 'ranking_scores/gplus/eccentricity'\n",
    "\n",
    "# inequity_top_k_pr = dict.fromkeys(range(5, 105, 5), 0)\n",
    "inequity_top_k_ecc = dict.fromkeys(range(5, 105, 5), 0)\n",
    "\n",
    "# Read scores\n",
    "num_of_files = 0\n",
    "for filename in os.listdir(directory_scores):\n",
    "    num_of_files += 1\n",
    "    # Naming format: '<ego_net>_<algorithm>_scores.txt'\n",
    "    ego_net_filename = filename.split('_')[0]\n",
    "\n",
    "    # Load scores\n",
    "    scores, genders = load_score_results(os.path.join(directory_scores, filename))\n",
    "    \n",
    "    # Find minority class\n",
    "    minority_class = 2 if genders.count(1) > genders.count(2) else 1\n",
    "    \n",
    "    # Calculate minority global representation\n",
    "    minority_repr_global = genders.count(minority_class)/len(genders)\n",
    "    \n",
    "    for k in inequity_top_k_ecc:\n",
    "        num_of_top_k = round(len(genders)*k/100)\n",
    "        # Calculate minority local representation in top-k% positions\n",
    "        minority_repr_top_k = genders[:num_of_top_k].count(minority_class)/len(genders[:num_of_top_k])\n",
    "        \n",
    "        # Calculate inequity value\n",
    "        inequity_value = (minority_repr_top_k - minority_repr_global) / minority_repr_global\n",
    "        inequity_top_k_ecc[k] += inequity_value\n",
    "\n",
    "#     if num_of_files % 5 == 0:\n",
    "#         print(f\"[{datetime.datetime.now()}]: {num_of_files} networks are processed\")\n",
    "\n",
    "# Calculate average\n",
    "inequity_top_k_ecc = {k: v/num_of_files for k, v in inequity_top_k_ecc.items()}\n",
    "print(inequity_top_k_ecc)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "ad3f3ce6",
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "sc_plot = sns.scatterplot(x=list(inequity_top_k_pr.keys()),\n",
    "                          y=list(inequity_top_k_pr.values()),\n",
    "                          alpha=0.65,\n",
    "                          color='forestgreen')\n",
    "\n",
    "sc_plot.set_title('Inequity in PageRank scores', weight='bold')\n",
    "sc_plot.set_xlabel('top-k%')\n",
    "sc_plot.set_ylabel('inequity score')\n",
    "sc_plot.set_xticks(list(inequity_top_k_pr.keys()))\n",
    "\n",
    "# plt.savefig('pagerank_inequity.png', dpi=1500)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "9c0538cb",
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sc_plot = sns.scatterplot(x=list(inequity_top_k_ecc.keys()),\n",
    "                          y=list(inequity_top_k_ecc.values()),\n",
    "                          alpha=0.65,\n",
    "                          color='steelblue')\n",
    "\n",
    "sc_plot.set_title('Inequity in eccentricity scores', weight='bold')\n",
    "sc_plot.set_xlabel('top-k%')\n",
    "sc_plot.set_ylabel('inequity score')\n",
    "sc_plot.set_xticks(list(inequity_top_k_ecc.keys()))\n",
    "\n",
    "# plt.savefig('eccentricity_inequity.png', dpi=1500)\n",
    "plt.show()"
   ]
  }
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