2.Autoencoder & PCA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "953d1a66-ec28-482d-820e-8b9366e33f48",
   "metadata": {},
   "source": [
    "## Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "17c3cf98-9119-43fd-9c3c-eb89be65f568",
   "metadata": {},
   "outputs": [],
   "source": [
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "import pickle\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import LabelEncoder\n",
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "plt.style.use('ggplot')\n",
    "\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.metrics import mean_squared_error, silhouette_score\n",
    "\n",
    "from tensorflow.keras.layers import Input, Dense\n",
    "from tensorflow.keras.models import Model, Sequential\n",
    "from tensorflow.keras import regularizers\n",
    "from sklearn.preprocessing import LabelEncoder"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04e957f9-84c0-4334-9868-f1e3e6019048",
   "metadata": {},
   "source": [
    "## Export data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "779a59a8-f668-472f-bb0f-13275294eea3",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('Saved data/X_train.pickle', 'rb') as data:\n",
    "    X_train = pickle.load(data)\n",
    "    \n",
    "with open('Saved data/X_test.pickle', 'rb') as data:\n",
    "    X_test = pickle.load(data)\n",
    "\n",
    "with open('Saved data/X_train_scaled.pickle', 'rb') as data:\n",
    "    X_train_scaled = pickle.load(data)\n",
    "    \n",
    "with open('Saved data/X_test_scaled.pickle', 'rb') as data:\n",
    "    X_test_scaled = pickle.load(data)\n",
    "    \n",
    "with open('Saved data/y_train.pickle', 'rb') as data:\n",
    "    y_train = pickle.load(data)\n",
    "    \n",
    "with open('Saved data/y_test.pickle', 'rb') as data:\n",
    "    y_test = pickle.load(data)\n",
    "    \n",
    "with open('Saved data/labels.pickle', 'rb') as data:\n",
    "    labels = pickle.load(data)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d359078a-5c6d-4563-bbeb-5f2cb49c66dd",
   "metadata": {},
   "source": [
    "## PCA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "81f9fe15-8646-458a-a397-2538f22f64ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'PCA Results')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"392.918437pt\" height=\"281.073625pt\" viewBox=\"0 0 392.918437 281.073625\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2022-05-12T17:09:40.506526</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.5.1, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 281.073625 \n",
       "L 392.918437 281.073625 \n",
       "L 392.918437 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 50.918438 241.58175 \n",
       "L 385.718437 241.58175 \n",
       "L 385.718437 24.14175 \n",
       "L 50.918438 24.14175 \n",
       "z\n",
       "\" style=\"fill: #e5e5e5\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path d=\"M 63.346705 241.58175 \n",
       "L 63.346705 24.14175 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path id=\"mc83f8ce44e\" d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" style=\"stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc83f8ce44e\" x=\"63.346705\" y=\"241.58175\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −40 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(52.794361 256.180187)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-34\" d=\"M 2419 4116 \n",
       "L 825 1625 \n",
       "L 2419 1625 \n",
       "L 2419 4116 \n",
       "z\n",
       "M 2253 4666 \n",
       "L 3047 4666 \n",
       "L 3047 1625 \n",
       "L 3713 1625 \n",
       "L 3713 1100 \n",
       "L 3047 1100 \n",
       "L 3047 0 \n",
       "L 2419 0 \n",
       "L 2419 1100 \n",
       "L 313 1100 \n",
       "L 313 1709 \n",
       "L 2253 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "        <path id=\"DejaVuSans-30\" d=\"M 2034 4250 \n",
       "Q 1547 4250 1301 3770 \n",
       "Q 1056 3291 1056 2328 \n",
       "Q 1056 1369 1301 889 \n",
       "Q 1547 409 2034 409 \n",
       "Q 2525 409 2770 889 \n",
       "Q 3016 1369 3016 2328 \n",
       "Q 3016 3291 2770 3770 \n",
       "Q 2525 4250 2034 4250 \n",
       "z\n",
       "M 2034 4750 \n",
       "Q 2819 4750 3233 4129 \n",
       "Q 3647 3509 3647 2328 \n",
       "Q 3647 1150 3233 529 \n",
       "Q 2819 -91 2034 -91 \n",
       "Q 1250 -91 836 529 \n",
       "Q 422 1150 422 2328 \n",
       "Q 422 3509 836 4129 \n",
       "Q 1250 4750 2034 4750 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-34\" x=\"83.789062\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path d=\"M 129.263327 241.58175 \n",
       "L 129.263327 24.14175 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc83f8ce44e\" x=\"129.263327\" y=\"241.58175\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −20 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(118.710983 256.180187)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path d=\"M 195.179949 241.58175 \n",
       "L 195.179949 24.14175 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc83f8ce44e\" x=\"195.179949\" y=\"241.58175\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(191.998699 256.180187)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path d=\"M 261.096571 241.58175 \n",
       "L 261.096571 24.14175 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc83f8ce44e\" x=\"261.096571\" y=\"241.58175\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 20 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(254.734071 256.180187)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path d=\"M 327.013193 241.58175 \n",
       "L 327.013193 24.14175 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#mc83f8ce44e\" x=\"327.013193\" y=\"241.58175\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 40 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(320.650693 256.180187)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_6\">\n",
       "     <!-- PC 1 -->\n",
       "     <g style=\"fill: #555555\" transform=\"translate(204.786563 271.378)scale(0.12 -0.12)\">\n",
       "      <defs>\n",
       "       <path id=\"DejaVuSans-50\" d=\"M 1259 4147 \n",
       "L 1259 2394 \n",
       "L 2053 2394 \n",
       "Q 2494 2394 2734 2622 \n",
       "Q 2975 2850 2975 3272 \n",
       "Q 2975 3691 2734 3919 \n",
       "Q 2494 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2838 4666 3239 4311 \n",
       "Q 3641 3956 3641 3272 \n",
       "Q 3641 2581 3239 2228 \n",
       "Q 2838 1875 2053 1875 \n",
       "L 1259 1875 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
       "L 4122 3641 \n",
       "Q 3803 3938 3442 4084 \n",
       "Q 3081 4231 2675 4231 \n",
       "Q 1875 4231 1450 3742 \n",
       "Q 1025 3253 1025 2328 \n",
       "Q 1025 1406 1450 917 \n",
       "Q 1875 428 2675 428 \n",
       "Q 3081 428 3442 575 \n",
       "Q 3803 722 4122 1019 \n",
       "L 4122 359 \n",
       "Q 3791 134 3420 21 \n",
       "Q 3050 -91 2638 -91 \n",
       "Q 1578 -91 968 557 \n",
       "Q 359 1206 359 2328 \n",
       "Q 359 3453 968 4101 \n",
       "Q 1578 4750 2638 4750 \n",
       "Q 3056 4750 3426 4639 \n",
       "Q 3797 4528 4122 4306 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "       <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      </defs>\n",
       "      <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-43\" x=\"60.302734\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"130.126953\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-31\" x=\"161.914062\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path d=\"M 50.918438 241.194552 \n",
       "L 385.718437 241.194552 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path id=\"me5f3970b89\" d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" style=\"stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"241.194552\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −40 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 244.99377)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-34\" x=\"83.789062\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path d=\"M 50.918438 203.534531 \n",
       "L 385.718437 203.534531 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"203.534531\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- −20 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(22.81375 207.33375)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-2212\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-32\" x=\"83.789062\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"147.412109\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path d=\"M 50.918438 165.874511 \n",
       "L 385.718437 165.874511 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"165.874511\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(37.555937 169.673729)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-30\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path d=\"M 50.918438 128.21449 \n",
       "L 385.718437 128.21449 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"128.21449\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 20 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(31.193438 132.013709)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-32\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path d=\"M 50.918438 90.55447 \n",
       "L 385.718437 90.55447 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"90.55447\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 40 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(31.193438 94.353688)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-34\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_21\">\n",
       "      <path d=\"M 50.918438 52.894449 \n",
       "L 385.718437 52.894449 \n",
       "\" clip-path=\"url(#p1230fc7b72)\" style=\"fill: none; stroke: #ffffff; stroke-width: 0.8; stroke-linecap: square\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_22\">\n",
       "      <g>\n",
       "       <use xlink:href=\"#me5f3970b89\" x=\"50.918438\" y=\"52.894449\" style=\"fill: #555555; stroke: #555555; stroke-width: 0.8\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 60 -->\n",
       "      <g style=\"fill: #555555\" transform=\"translate(31.193438 56.693668)scale(0.1 -0.1)\">\n",
       "       <defs>\n",
       "        <path id=\"DejaVuSans-36\" d=\"M 2113 2584 \n",
       "Q 1688 2584 1439 2293 \n",
       "Q 1191 2003 1191 1497 \n",
       "Q 1191 994 1439 701 \n",
       "Q 1688 409 2113 409 \n",
       "Q 2538 409 2786 701 \n",
       "Q 3034 994 3034 1497 \n",
       "Q 3034 2003 2786 2293 \n",
       "Q 2538 2584 2113 2584 \n",
       "z\n",
       "M 3366 4563 \n",
       "L 3366 3988 \n",
       "Q 3128 4100 2886 4159 \n",
       "Q 2644 4219 2406 4219 \n",
       "Q 1781 4219 1451 3797 \n",
       "Q 1122 3375 1075 2522 \n",
       "Q 1259 2794 1537 2939 \n",
       "Q 1816 3084 2150 3084 \n",
       "Q 2853 3084 3261 2657 \n",
       "Q 3669 2231 3669 1497 \n",
       "Q 3669 778 3244 343 \n",
       "Q 2819 -91 2113 -91 \n",
       "Q 1303 -91 875 529 \n",
       "Q 447 1150 447 2328 \n",
       "Q 447 3434 972 4092 \n",
       "Q 1497 4750 2381 4750 \n",
       "Q 2619 4750 2861 4703 \n",
       "Q 3103 4656 3366 4563 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "       </defs>\n",
       "       <use xlink:href=\"#DejaVuSans-36\"/>\n",
       "       <use xlink:href=\"#DejaVuSans-30\" x=\"63.623047\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_13\">\n",
       "     <!-- PC 2 -->\n",
       "     <g style=\"fill: #555555\" transform=\"translate(16.318125 146.393625)rotate(-90)scale(0.12 -0.12)\">\n",
       "      <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-43\" x=\"60.302734\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-20\" x=\"130.126953\"/>\n",
       "      <use xlink:href=\"#DejaVuSans-32\" x=\"161.914062\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path id=\"me483a958f4\" d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" style=\"stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p1230fc7b72)\">\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"270.228556\" y=\"93.62673\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"305.487008\" y=\"177.597933\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"262.116243\" y=\"139.997285\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"355.312303\" y=\"149.889096\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"307.755127\" y=\"160.112636\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"327.000588\" y=\"161.713409\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"251.195875\" y=\"206.045212\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"354.724813\" y=\"146.301458\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"299.588407\" y=\"67.502085\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"337.79794\" y=\"167.466656\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"344.562711\" y=\"143.211115\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"277.748414\" y=\"160.445294\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"355.622057\" y=\"145.764826\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"362.429068\" y=\"149.059473\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"290.107859\" y=\"162.976949\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"363.025069\" y=\"167.245824\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"359.886262\" y=\"159.890675\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"350.818499\" y=\"157.368967\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"370.500256\" y=\"165.779397\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#me483a958f4\" x=\"369.294019\" y=\"153.101634\" style=\"fill: #ff0000; fill-opacity: 0.3; stroke: #ff0000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_2\">\n",
       "    <defs>\n",
       "     <path id=\"mcff382f604\" d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" style=\"stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p1230fc7b72)\">\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"221.596565\" y=\"108.133124\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"271.910049\" y=\"169.605289\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"174.466613\" y=\"52.088246\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"298.616454\" y=\"169.454891\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"194.804654\" y=\"114.102736\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"253.183817\" y=\"154.879838\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"267.503618\" y=\"124.778688\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"213.028192\" y=\"144.052079\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"286.418941\" y=\"184.685959\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"292.360774\" y=\"165.557903\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"303.212999\" y=\"182.140774\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"155.826334\" y=\"79.336246\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"225.036832\" y=\"221.457392\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"249.208641\" y=\"183.254846\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"272.196505\" y=\"65.707303\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"172.639122\" y=\"34.025386\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"185.218845\" y=\"190.663055\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"264.8914\" y=\"175.10404\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"296.4343\" y=\"142.458929\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"234.21419\" y=\"195.485765\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"275.935371\" y=\"215.329166\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#mcff382f604\" x=\"219.33779\" y=\"147.567235\" style=\"fill-opacity: 0.3; stroke: #000000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_3\">\n",
       "    <defs>\n",
       "     <path id=\"m40914c3cd1\" d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" style=\"stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p1230fc7b72)\">\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"115.718308\" y=\"172.157364\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"149.569243\" y=\"131.802441\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"153.532869\" y=\"114.981946\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"133.191088\" y=\"178.989641\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"145.739211\" y=\"178.03404\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"82.359414\" y=\"108.961805\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"206.220935\" y=\"212.840646\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"150.749213\" y=\"184.984841\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"152.225933\" y=\"201.017997\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"191.983776\" y=\"203.830568\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"190.871481\" y=\"208.514317\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"186.493863\" y=\"194.461556\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"143.580425\" y=\"166.948822\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"108.397444\" y=\"134.024458\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"202.157543\" y=\"194.179478\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"149.325865\" y=\"221.248485\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"146.80186\" y=\"168.435896\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"156.102251\" y=\"193.725888\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"177.763233\" y=\"162.787989\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"168.677532\" y=\"156.216503\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"145.379947\" y=\"145.195919\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"157.100399\" y=\"187.309709\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"135.065982\" y=\"178.227919\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"183.873327\" y=\"215.344785\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"214.108391\" y=\"199.226761\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"136.637981\" y=\"171.837425\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"198.06857\" y=\"198.670672\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"81.646095\" y=\"185.511608\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"186.160473\" y=\"174.584661\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"196.962209\" y=\"186.709935\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"179.242353\" y=\"146.986061\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"154.125731\" y=\"145.589879\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"119.637241\" y=\"169.836147\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"172.757423\" y=\"210.410329\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"162.029106\" y=\"208.707823\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"189.675962\" y=\"209.709307\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"152.519216\" y=\"181.40772\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"167.885472\" y=\"190.208589\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"169.959577\" y=\"190.247641\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"124.754772\" y=\"179.486839\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"122.696423\" y=\"170.853862\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"181.663761\" y=\"153.247055\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"170.703342\" y=\"196.794027\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"144.916662\" y=\"168.894841\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"107.888298\" y=\"127.757943\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"66.136619\" y=\"92.668837\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"170.814861\" y=\"184.470423\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"170.517817\" y=\"149.037369\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"138.745772\" y=\"183.138419\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"179.894971\" y=\"185.360067\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"137.384227\" y=\"145.821437\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"121.37127\" y=\"173.070695\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"214.737424\" y=\"216.153163\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"122.565934\" y=\"167.311435\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"159.102286\" y=\"178.288974\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"113.328202\" y=\"95.96276\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"163.372191\" y=\"196.907931\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"137.932869\" y=\"159.577851\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"146.007326\" y=\"179.392643\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"124.738768\" y=\"157.878886\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"144.35425\" y=\"163.485819\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"148.476296\" y=\"189.829601\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"82.130732\" y=\"96.638723\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"146.289048\" y=\"183.172302\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"192.947407\" y=\"195.314124\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"193.367384\" y=\"189.78948\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"173.996917\" y=\"187.818836\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m40914c3cd1\" x=\"137.361887\" y=\"163.227137\" style=\"fill: #0000ff; fill-opacity: 0.3; stroke: #0000ff; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_4\">\n",
       "    <defs>\n",
       "     <path id=\"m236eb5b918\" d=\"M 0 3 \n",
       "C 0.795609 3 1.55874 2.683901 2.12132 2.12132 \n",
       "C 2.683901 1.55874 3 0.795609 3 0 \n",
       "C 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \n",
       "C 1.55874 -2.683901 0.795609 -3 0 -3 \n",
       "C -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \n",
       "C -2.683901 -1.55874 -3 -0.795609 -3 0 \n",
       "C -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \n",
       "C -1.55874 2.683901 -0.795609 3 0 3 \n",
       "z\n",
       "\" style=\"stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p1230fc7b72)\">\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"262.253835\" y=\"140.880711\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"212.755227\" y=\"164.889265\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"179.376745\" y=\"182.264255\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"198.253474\" y=\"166.940627\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"187.790494\" y=\"142.644075\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"220.832195\" y=\"188.063427\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"234.353498\" y=\"231.698114\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"157.736546\" y=\"152.810232\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"222.810782\" y=\"169.685373\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"195.319167\" y=\"136.93419\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"197.293228\" y=\"210.98015\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"244.494109\" y=\"187.759565\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"167.815599\" y=\"199.289782\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"147.836531\" y=\"163.755921\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"262.125292\" y=\"163.944661\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"81.895232\" y=\"121.638248\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"133.724197\" y=\"150.349745\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"205.930107\" y=\"165.852774\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"181.684808\" y=\"170.248874\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"228.63206\" y=\"181.611167\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"132.865864\" y=\"209.75432\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"189.972598\" y=\"220.683768\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"181.84013\" y=\"130.462119\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"177.909312\" y=\"123.559373\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"127.890185\" y=\"189.029361\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"209.303264\" y=\"207.725147\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"163.157309\" y=\"175.995422\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"152.617131\" y=\"156.184918\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"128.838257\" y=\"187.926293\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"212.188394\" y=\"167.326219\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"229.54593\" y=\"142.388533\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"240.414339\" y=\"182.792071\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"121.180796\" y=\"168.653612\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"231.074021\" y=\"193.107718\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"129.502474\" y=\"168.689977\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"210.846372\" y=\"173.592823\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"241.594132\" y=\"205.824629\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"116.229495\" y=\"148.990381\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"164.680994\" y=\"178.67318\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"213.485418\" y=\"171.373548\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"91.302156\" y=\"168.126567\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"117.200499\" y=\"143.634092\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"203.496784\" y=\"175.071124\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"158.175105\" y=\"132.897755\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"205.014475\" y=\"155.268034\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "     <use xlink:href=\"#m236eb5b918\" x=\"240.861459\" y=\"184.487627\" style=\"fill: #008000; fill-opacity: 0.3; stroke: #008000; stroke-opacity: 0.3; stroke-width: 0.5\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 50.918438 241.58175 \n",
       "L 50.918438 24.14175 \n",
       "\" style=\"fill: none; stroke: #ffffff; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 385.718437 241.58175 \n",
       "L 385.718437 24.14175 \n",
       "\" style=\"fill: none; stroke: #ffffff; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 50.918438 241.58175 \n",
       "L 385.718438 241.58175 \n",
       "\" style=\"fill: none; stroke: #ffffff; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 50.918438 24.14175 \n",
       "L 385.718438 24.14175 \n",
       "\" style=\"fill: none; stroke: #ffffff; stroke-linejoin: miter; stroke-linecap: square\"/>\n",
       "   </g>\n",
       "   <g id=\"text_14\">\n",
       "    <!-- PCA Results -->\n",
       "    <g transform=\"translate(175.739438 18.14175)scale(0.144 -0.144)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-41\" d=\"M 2188 4044 \n",
       "L 1331 1722 \n",
       "L 3047 1722 \n",
       "L 2188 4044 \n",
       "z\n",
       "M 1831 4666 \n",
       "L 2547 4666 \n",
       "L 4325 0 \n",
       "L 3669 0 \n",
       "L 3244 1197 \n",
       "L 1141 1197 \n",
       "L 716 0 \n",
       "L 50 0 \n",
       "L 1831 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
       "Q 3044 2119 3236 1894 \n",
       "Q 3428 1669 3622 1275 \n",
       "L 4263 0 \n",
       "L 3584 0 \n",
       "L 2988 1197 \n",
       "Q 2756 1666 2539 1819 \n",
       "Q 2322 1972 1947 1972 \n",
       "L 1259 1972 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2853 4666 3247 4331 \n",
       "Q 3641 3997 3641 3322 \n",
       "Q 3641 2881 3436 2590 \n",
       "Q 3231 2300 2841 2188 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2491 \n",
       "L 2053 2491 \n",
       "Q 2509 2491 2742 2702 \n",
       "Q 2975 2913 2975 3322 \n",
       "Q 2975 3731 2742 3939 \n",
       "Q 2509 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-43\" x=\"60.302734\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-41\" x=\"130.126953\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"198.535156\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-52\" x=\"230.322266\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-65\" x=\"295.304688\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-73\" x=\"356.828125\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-75\" x=\"408.927734\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"472.306641\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" x=\"500.089844\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-73\" x=\"539.298828\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p1230fc7b72\">\n",
       "   <rect x=\"50.918438\" y=\"24.14175\" width=\"334.8\" height=\"217.44\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca = PCA(n_components=4)\n",
    "colors = ['red', 'black', 'blue', 'green']\n",
    "pca.fit(X_train_scaled)\n",
    "y_test1 = y_test.to_numpy().flatten()\n",
    "res_pca = pca.transform(X_test_scaled)\n",
    "unique_labels = np.unique(y_test1)\n",
    "for index,unique_label in enumerate(unique_labels):\n",
    "    X_data = res_pca[y_test1 == unique_label]\n",
    "    plt.scatter(X_data[:,0], X_data[:,1],alpha=0.3,c=colors[index])\n",
    "    \n",
    "plt.xlabel(\"PC 1\")\n",
    "plt.ylabel(\"PC 2\")\n",
    "plt.title(\"PCA Results\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "de0c88f6-4666-439d-9531-21cab7f6b563",
   "metadata": {},
   "outputs": [],
   "source": [
    "pca = PCA(0.95)\n",
    "X_train_pca = pca.fit_transform(X_train_scaled)\n",
    "X_test_pca = pca.transform(X_test_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f4a6ce66-e27b-4d34-b539-7812cccac4af",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('X_train_pca.pickle', 'wb') as output:\n",
    "    pickle.dump(X_train_pca, output)\n",
    "    \n",
    "with open('X_test_pca.pickle', 'wb') as output:\n",
    "    pickle.dump(X_test_pca, output)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "efb7fa2a-4417-4082-aa25-8f80d1a94beb",
   "metadata": {},
   "source": [
    "## Autoencoder"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "cc26574a-9e98-4439-9e12-4c6ce8a7e2ed",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      "70/70 [==============================] - 91s 1s/step - loss: 43.4900 - val_loss: 43.3011\n",
      "Epoch 2/10\n",
      "70/70 [==============================] - 90s 1s/step - loss: 43.1227 - val_loss: 42.9485\n",
      "Epoch 3/10\n",
      "70/70 [==============================] - 93s 1s/step - loss: 42.7455 - val_loss: 42.5434\n",
      "Epoch 4/10\n",
      "70/70 [==============================] - 92s 1s/step - loss: 42.3129 - val_loss: 42.0824\n",
      "Epoch 5/10\n",
      "70/70 [==============================] - 92s 1s/step - loss: 41.8232 - val_loss: 41.5629\n",
      "Epoch 6/10\n",
      "70/70 [==============================] - 93s 1s/step - loss: 41.2756 - val_loss: 40.9876\n",
      "Epoch 7/10\n",
      "70/70 [==============================] - 87s 1s/step - loss: 40.6734 - val_loss: 40.3589\n",
      "Epoch 8/10\n",
      "70/70 [==============================] - 84s 1s/step - loss: 40.0217 - val_loss: 39.6847\n",
      "Epoch 9/10\n",
      "70/70 [==============================] - 84s 1s/step - loss: 39.3276 - val_loss: 38.9712\n",
      "Epoch 10/10\n",
      "70/70 [==============================] - 82s 1s/step - loss: 38.5982 - val_loss: 38.2274\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x1bb109037c0>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Построение входного слоя\n",
    "input_layer = Input(shape =(X_train_scaled.shape[1], ))\n",
    "  \n",
    "# Построение сети кодировщика\n",
    "encoded = Dense(5000, activation ='tanh',\n",
    "                activity_regularizer = regularizers.l1(10e-5))(input_layer)\n",
    "encoded = Dense(2500, activation ='tanh',\n",
    "                activity_regularizer = regularizers.l1(10e-5))(encoded)\n",
    "encoded = Dense(2000, activation ='tanh',\n",
    "                activity_regularizer = regularizers.l1(10e-5))(encoded)\n",
    "encoded = Dense(1000, activation ='tanh',\n",
    "                activity_regularizer = regularizers.l1(10e-5))(encoded)\n",
    "encoded = Dense(500, activation ='relu')(encoded)\n",
    "  \n",
    "# Построение сети декодера\n",
    "decoded = Dense(1000, activation ='tanh')(encoded)\n",
    "decoded = Dense(2000, activation ='tanh')(decoded)\n",
    "decoded = Dense(2500, activation ='tanh')(decoded)\n",
    "decoded = Dense(5000, activation ='tanh')(decoded)\n",
    "  \n",
    "# Построение выходного слоя\n",
    "output_layer = Dense(X_train_scaled.shape[1], activation ='relu')(decoded)\n",
    "# Определение параметров сети авто-кодировщика\n",
    "autoencoder = Model(input_layer, output_layer)\n",
    "autoencoder.compile(optimizer =\"adadelta\", loss =\"mse\")\n",
    "# Обучение сети авто-кодировщика\n",
    "autoencoder.fit(X_train_scaled, X_train_scaled, \n",
    "                batch_size = 16, epochs = 10, \n",
    "                shuffle = True, validation_split = 0.20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "06863994-7b93-49e9-8982-1287e1507689",
   "metadata": {},
   "outputs": [],
   "source": [
    "hidden_representation = Sequential()\n",
    "hidden_representation.add(autoencoder.layers[0])\n",
    "hidden_representation.add(autoencoder.layers[1])\n",
    "hidden_representation.add(autoencoder.layers[2])\n",
    "hidden_representation.add(autoencoder.layers[3])\n",
    "hidden_representation.add(autoencoder.layers[4])\n",
    "hidden_representation.add(autoencoder.layers[5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "db1c34c1-0d2e-4c9b-84ec-08bd9b5a95c0",
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train_autoencoder = hidden_representation.predict(X_train_scaled)\n",
    "X_test_autoencoder = hidden_representation.predict(X_test_scaled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "2e056e87-3c31-41cc-91c0-11c85fbee4ed",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('Saved data/X_train_autoencoder.pickle', 'wb') as output:\n",
    "    pickle.dump(X_train_autoencoder, output)\n",
    "    \n",
    "with open('Saved data/X_test_autoencoder.pickle', 'wb') as output:\n",
    "    pickle.dump(X_test_autoencoder, output)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "cancer",
   "language": "python",
   "name": "cancer"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}