ICML 2024 Hein Comparison.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import seaborn as sns\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Graph</th>\n",
       "      <th>seeds</th>\n",
       "      <th>our_mean</th>\n",
       "      <th>our_median</th>\n",
       "      <th>our_std</th>\n",
       "      <th>hein_mean</th>\n",
       "      <th>hein_std</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>zoo</td>\n",
       "      <td>20</td>\n",
       "      <td>28.514851</td>\n",
       "      <td>27.227723</td>\n",
       "      <td>10.062489</td>\n",
       "      <td>2.3</td>\n",
       "      <td>1.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>zoo</td>\n",
       "      <td>25</td>\n",
       "      <td>23.168317</td>\n",
       "      <td>21.782178</td>\n",
       "      <td>8.596077</td>\n",
       "      <td>1.5</td>\n",
       "      <td>2.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>zoo</td>\n",
       "      <td>30</td>\n",
       "      <td>19.801980</td>\n",
       "      <td>19.801980</td>\n",
       "      <td>5.048534</td>\n",
       "      <td>2.9</td>\n",
       "      <td>2.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>zoo</td>\n",
       "      <td>35</td>\n",
       "      <td>14.059406</td>\n",
       "      <td>14.356436</td>\n",
       "      <td>4.323306</td>\n",
       "      <td>0.9</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>zoo</td>\n",
       "      <td>40</td>\n",
       "      <td>10.396040</td>\n",
       "      <td>11.881188</td>\n",
       "      <td>4.555173</td>\n",
       "      <td>0.8</td>\n",
       "      <td>1.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>zoo</td>\n",
       "      <td>45</td>\n",
       "      <td>8.613861</td>\n",
       "      <td>6.930693</td>\n",
       "      <td>4.502260</td>\n",
       "      <td>1.2</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>zoo</td>\n",
       "      <td>50</td>\n",
       "      <td>7.524752</td>\n",
       "      <td>5.940594</td>\n",
       "      <td>3.965893</td>\n",
       "      <td>1.6</td>\n",
       "      <td>2.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>20</td>\n",
       "      <td>14.468242</td>\n",
       "      <td>12.364599</td>\n",
       "      <td>5.899543</td>\n",
       "      <td>18.4</td>\n",
       "      <td>7.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>40</td>\n",
       "      <td>9.292221</td>\n",
       "      <td>8.801083</td>\n",
       "      <td>2.469451</td>\n",
       "      <td>9.8</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>60</td>\n",
       "      <td>6.649434</td>\n",
       "      <td>6.413097</td>\n",
       "      <td>1.618179</td>\n",
       "      <td>9.9</td>\n",
       "      <td>5.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>80</td>\n",
       "      <td>4.425160</td>\n",
       "      <td>3.495815</td>\n",
       "      <td>1.981627</td>\n",
       "      <td>6.4</td>\n",
       "      <td>2.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>100</td>\n",
       "      <td>3.641064</td>\n",
       "      <td>3.163466</td>\n",
       "      <td>1.451777</td>\n",
       "      <td>6.3</td>\n",
       "      <td>2.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>120</td>\n",
       "      <td>3.055145</td>\n",
       "      <td>3.120384</td>\n",
       "      <td>0.980810</td>\n",
       "      <td>4.5</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>160</td>\n",
       "      <td>2.067947</td>\n",
       "      <td>1.797144</td>\n",
       "      <td>0.953220</td>\n",
       "      <td>4.4</td>\n",
       "      <td>2.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>mushroom</td>\n",
       "      <td>200</td>\n",
       "      <td>1.576809</td>\n",
       "      <td>1.495569</td>\n",
       "      <td>0.563136</td>\n",
       "      <td>3.0</td>\n",
       "      <td>0.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>20</td>\n",
       "      <td>21.778595</td>\n",
       "      <td>22.344771</td>\n",
       "      <td>1.686564</td>\n",
       "      <td>20.7</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>40</td>\n",
       "      <td>19.229575</td>\n",
       "      <td>20.620915</td>\n",
       "      <td>5.662435</td>\n",
       "      <td>16.1</td>\n",
       "      <td>4.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>60</td>\n",
       "      <td>17.107026</td>\n",
       "      <td>17.892157</td>\n",
       "      <td>5.573864</td>\n",
       "      <td>10.9</td>\n",
       "      <td>4.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>80</td>\n",
       "      <td>13.259804</td>\n",
       "      <td>15.134804</td>\n",
       "      <td>5.239354</td>\n",
       "      <td>5.9</td>\n",
       "      <td>3.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>100</td>\n",
       "      <td>9.520425</td>\n",
       "      <td>10.220588</td>\n",
       "      <td>4.779132</td>\n",
       "      <td>4.6</td>\n",
       "      <td>3.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>120</td>\n",
       "      <td>6.285131</td>\n",
       "      <td>5.955882</td>\n",
       "      <td>5.566693</td>\n",
       "      <td>3.3</td>\n",
       "      <td>3.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>160</td>\n",
       "      <td>2.039216</td>\n",
       "      <td>0.743464</td>\n",
       "      <td>3.419974</td>\n",
       "      <td>2.2</td>\n",
       "      <td>1.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>covertype45</td>\n",
       "      <td>200</td>\n",
       "      <td>0.540033</td>\n",
       "      <td>0.077614</td>\n",
       "      <td>0.995775</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>20</td>\n",
       "      <td>17.904269</td>\n",
       "      <td>13.794651</td>\n",
       "      <td>9.769621</td>\n",
       "      <td>25.2</td>\n",
       "      <td>18.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>40</td>\n",
       "      <td>8.658553</td>\n",
       "      <td>8.377115</td>\n",
       "      <td>1.665711</td>\n",
       "      <td>4.3</td>\n",
       "      <td>9.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>60</td>\n",
       "      <td>3.152573</td>\n",
       "      <td>2.438155</td>\n",
       "      <td>2.218734</td>\n",
       "      <td>2.1</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>80</td>\n",
       "      <td>2.260475</td>\n",
       "      <td>2.282388</td>\n",
       "      <td>1.465159</td>\n",
       "      <td>2.2</td>\n",
       "      <td>1.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>100</td>\n",
       "      <td>1.644798</td>\n",
       "      <td>1.376825</td>\n",
       "      <td>1.125365</td>\n",
       "      <td>1.4</td>\n",
       "      <td>1.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>120</td>\n",
       "      <td>1.349104</td>\n",
       "      <td>1.052090</td>\n",
       "      <td>1.020649</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>160</td>\n",
       "      <td>0.866489</td>\n",
       "      <td>0.583468</td>\n",
       "      <td>0.742871</td>\n",
       "      <td>0.7</td>\n",
       "      <td>0.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>covertype67</td>\n",
       "      <td>200</td>\n",
       "      <td>0.678248</td>\n",
       "      <td>0.580827</td>\n",
       "      <td>0.361691</td>\n",
       "      <td>1.1</td>\n",
       "      <td>0.8</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          Graph  seeds   our_mean  our_median    our_std  hein_mean  hein_std\n",
       "0           zoo     20  28.514851   27.227723  10.062489        2.3       1.9\n",
       "1           zoo     25  23.168317   21.782178   8.596077        1.5       2.4\n",
       "2           zoo     30  19.801980   19.801980   5.048534        2.9       2.3\n",
       "3           zoo     35  14.059406   14.356436   4.323306        0.9       1.4\n",
       "4           zoo     40  10.396040   11.881188   4.555173        0.8       1.7\n",
       "5           zoo     45   8.613861    6.930693   4.502260        1.2       1.8\n",
       "6           zoo     50   7.524752    5.940594   3.965893        1.6       2.9\n",
       "7      mushroom     20  14.468242   12.364599   5.899543       18.4       7.4\n",
       "8      mushroom     40   9.292221    8.801083   2.469451        9.8       4.5\n",
       "9      mushroom     60   6.649434    6.413097   1.618179        9.9       5.5\n",
       "10     mushroom     80   4.425160    3.495815   1.981627        6.4       2.7\n",
       "11     mushroom    100   3.641064    3.163466   1.451777        6.3       2.5\n",
       "12     mushroom    120   3.055145    3.120384   0.980810        4.5       1.8\n",
       "14     mushroom    160   2.067947    1.797144   0.953220        4.4       2.1\n",
       "16     mushroom    200   1.576809    1.495569   0.563136        3.0       0.6\n",
       "17  covertype45     20  21.778595   22.344771   1.686564       20.7       2.0\n",
       "18  covertype45     40  19.229575   20.620915   5.662435       16.1       4.1\n",
       "19  covertype45     60  17.107026   17.892157   5.573864       10.9       4.9\n",
       "20  covertype45     80  13.259804   15.134804   5.239354        5.9       3.7\n",
       "21  covertype45    100   9.520425   10.220588   4.779132        4.6       3.4\n",
       "22  covertype45    120   6.285131    5.955882   5.566693        3.3       3.1\n",
       "24  covertype45    160   2.039216    0.743464   3.419974        2.2       1.8\n",
       "26  covertype45    200   0.540033    0.077614   0.995775        1.0       1.1\n",
       "27  covertype67     20  17.904269   13.794651   9.769621       25.2      18.3\n",
       "28  covertype67     40   8.658553    8.377115   1.665711        4.3       9.6\n",
       "29  covertype67     60   3.152573    2.438155   2.218734        2.1       2.0\n",
       "30  covertype67     80   2.260475    2.282388   1.465159        2.2       1.4\n",
       "31  covertype67    100   1.644798    1.376825   1.125365        1.4       1.1\n",
       "32  covertype67    120   1.349104    1.052090   1.020649        1.0       0.8\n",
       "34  covertype67    160   0.866489    0.583468   0.742871        0.7       0.4\n",
       "36  covertype67    200   0.678248    0.580827   0.361691        1.1       0.8"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('./data/UCI_results_after_update.csv')\n",
    "df.dropna(inplace=True)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "graph_name = 'mushroom'\n",
    "for idx,graph_name in enumerate(['mushroom','covertype45','covertype67','zoo']):\n",
    "    graph_df = df.loc[df['Graph'] == graph_name]\n",
    "\n",
    "    # graph data has value as columns, not rows\n",
    "    graph_data = graph_df[['seeds','our_mean','our_std','hein_mean','hein_std']].to_numpy()\n",
    "    seeds = graph_data[:,0]\n",
    "    plt.figure()\n",
    "    for mean_idx, std_idx, label in [(1,2,'this work'),(3,4,'Hein et al.')]:\n",
    "        plt.plot(seeds, graph_data[:,mean_idx],'-o', label=label)\n",
    "        plt.fill_between(seeds, \n",
    "                         graph_data[:,mean_idx]-graph_data[:,std_idx],\n",
    "                         graph_data[:,mean_idx]+graph_data[:,std_idx],\n",
    "                        alpha=0.5)\n",
    "    if idx==0:\n",
    "        plt.legend()\n",
    "    plt.ylabel('Classification error (percentage)')\n",
    "    plt.xlabel('Number of (randomly) seeded labels')\n",
    "    plt.title(graph_name)\n",
    "    plt.show()\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "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": "3.6.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}