ClassificationPlot.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3c629af0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "788993f7",
   "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>Knot Representation</th>\n",
       "      <th>3-Class Classification Accuracy (%)</th>\n",
       "      <th>Neural Network</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>XYZ</td>\n",
       "      <td>76.91</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>XYZ</td>\n",
       "      <td>91.79</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Adjacent</td>\n",
       "      <td>77.76</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Adjacent</td>\n",
       "      <td>92.25</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Local Curvature</td>\n",
       "      <td>33.30</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Local Curvature</td>\n",
       "      <td>38.63</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1D Writhe</td>\n",
       "      <td>54.65</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>1D Writhe</td>\n",
       "      <td>55.02</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Local Density</td>\n",
       "      <td>58.70</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Local Density</td>\n",
       "      <td>64.68</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>3D Writhe</td>\n",
       "      <td>68.00</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>3D Writhe</td>\n",
       "      <td>72.17</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>Signed 3D Writhe</td>\n",
       "      <td>99.99</td>\n",
       "      <td>FFNN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>Signed 3D Writhe</td>\n",
       "      <td>99.98</td>\n",
       "      <td>RNN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Knot Representation  3-Class Classification Accuracy (%) Neural Network\n",
       "0                  XYZ                                76.91           FFNN\n",
       "1                  XYZ                                91.79            RNN\n",
       "2             Adjacent                                77.76           FFNN\n",
       "3             Adjacent                                92.25            RNN\n",
       "4      Local Curvature                                33.30           FFNN\n",
       "5      Local Curvature                                38.63            RNN\n",
       "6            1D Writhe                                54.65           FFNN\n",
       "7            1D Writhe                                55.02            RNN\n",
       "8        Local Density                                58.70           FFNN\n",
       "9        Local Density                                64.68            RNN\n",
       "10           3D Writhe                                68.00           FFNN\n",
       "11           3D Writhe                                72.17            RNN\n",
       "12    Signed 3D Writhe                                99.99           FFNN\n",
       "13    Signed 3D Writhe                                99.98            RNN"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# data100 = []\n",
    "# data500 = []\n",
    "data = []\n",
    "dataloc = []\n",
    "dataSQRGRN8 = []\n",
    "# data100.append([\"XYZ\", 0.634, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"XYZ\", 0.376, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"Adjacent\", 0.781, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"Adjacent\", 0.339, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"Normalised Adjacent\", 0.78, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"Normalised Adjacent\", 0.342, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"Local Density\", 0.713, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"Local Density\", 0.390, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"Normalised Local Density\", 0.724, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"Normalised Local Density\", 0.414, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"3D Writhe\", 0.845, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"3D Writhe\", 0.436, \"Five 500-Bead Knots\"])\n",
    "# data100.append([\"Normalised 3D Writhe\", 0.854, \"Five 100-Bead Knots\"])\n",
    "# data500.append([\"Normalised 3D Writhe\", 0.441, \"Five 500-Bead Knots\"])\n",
    "\n",
    "\n",
    "# data.append([\"XYZ\", 0.634, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"XYZ\", 0.376, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"Adjacent\", 0.781, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"Adjacent\", 0.339, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"Normalised Adjacent\", 0.78, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"Normalised Adjacent\", 0.342, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"Local Density\", 0.678, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"Local Density\", 0.390, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"Normalised Local Density\", 0.662, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"Normalised Local Density\", 0.414, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"3D Writhe\", 0.777, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"3D Writhe\", 0.436, \"Five 500-Bead Knots\"])\n",
    "# data.append([\"Normalised 3D Writhe\", 0.863, \"Five 100-Bead Knots\"])\n",
    "# data.append([\"Normalised 3D Writhe\", 0.441, \"Five 500-Bead Knots\"])\n",
    "\n",
    "dataSQRGRN8.append([\"XYZ\", 76.91, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"XYZ\", 91.79, \"RNN\"])\n",
    "dataSQRGRN8.append([\"Adjacent\", 77.76, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"Adjacent\", 92.25, \"RNN\"])\n",
    "dataSQRGRN8.append([\"Local Curvature\", 33.30, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"Local Curvature\", 38.63, \"RNN\"])\n",
    "dataSQRGRN8.append([\"1D Writhe\", 54.65, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"1D Writhe\", 55.02, \"RNN\"])\n",
    "dataSQRGRN8.append([\"Local Density\", 58.70, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"Local Density\", 64.68, \"RNN\"])\n",
    "dataSQRGRN8.append([\"3D Writhe\", 68.00, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"3D Writhe\", 72.17, \"RNN\"])\n",
    "dataSQRGRN8.append([\"Signed 3D Writhe\", 99.99, \"FFNN\"])\n",
    "dataSQRGRN8.append([\"Signed 3D Writhe\", 99.98, \"RNN\"])\n",
    "\n",
    "\n",
    "dataloc.append([\"XYZ\", 93.19, \"RNN\"])\n",
    "# dataloc.append([\"Adjacent\", 92.71, \"RNN\"])\n",
    "dataloc.append([\"Adjacent\", 92.86, \"RNN\"])\n",
    "# # dataloc.append([\"Local Curvature\", 66.07, \"RNN\"])\n",
    "dataloc.append([\"Local Curvature\", 66.09, \"RNN\"])\n",
    "# dataloc.append([\"1D Writhe\", 73.06, \"RNN\"])\n",
    "dataloc.append([\"1D Writhe\", 73.12, \"RNN\"])\n",
    "# dataloc.append([\"Local Density\", 88.53, \"RNN\"])\n",
    "dataloc.append([\"Local Density\", 88.69, \"RNN\"])\n",
    "# dataloc.append([\"3D Writhe\", 93.45, \"RNN\"])\n",
    "dataloc.append([\"3D Writhe\", 93.45, \"RNN\"])\n",
    "\n",
    "\n",
    "\n",
    "\n",
    "data.append([\"XYZ\", 80.01, \"FFNN\"])\n",
    "data.append([\"XYZ\", 90.67, \"RNN\"])\n",
    "data.append([\"Adjacent\", 81.92, \"FFNN\"])\n",
    "data.append([\"Adjacent\", 91.57, \"RNN\"])\n",
    "data.append([\"Local Curvature\", 28.17, \"FFNN\"])\n",
    "data.append([\"Local Curvature\", 28.63, \"RNN\"])\n",
    "data.append([\"1D Writhe\", 48.93, \"FFNN\"])\n",
    "data.append([\"1D Writhe\", 52.22, \"RNN\"])\n",
    "data.append([\"Local Density\", 75.7, \"FFNN\"])\n",
    "data.append([\"Local Density\", 82.41, \"RNN\"])\n",
    "data.append([\"3D Writhe\", 86.56, \"FFNN\"])\n",
    "data.append([\"3D Writhe\", 90.38, \"RNN\"])\n",
    "data.append([\"Signed 3D Writhe\", 99.79, \"FFNN\"])\n",
    "data.append([\"Signed 3D Writhe\", 99.77, \"RNN\"])\n",
    "\n",
    "\n",
    "# dataRNN = []\n",
    "\n",
    "# dataFFNN = []\n",
    "\n",
    "# dataFFNN.append([\"XYZ\", 80.01, \"FFNN\"])\n",
    "# dataRNN.append([\"XYZ\", 90.67, \"RNN\"])\n",
    "# # dataFFNN.append([\"Adjacent\", 80.51, \"FFNN\"])\n",
    "# # dataRNN.append([\"Adjacent\", 91.21, \"RNN\"])\n",
    "# dataFFNN.append([\"Adjacent\", 81.92, \"FFNN\"])\n",
    "# dataRNN.append([\"Adjacent\", 91.57, \"RNN\"])\n",
    "# # dataFFNN.append([\"Local Curvature\", 28.22, \"FFNN\"])\n",
    "# # # dataRNN.append([\"Local Curvature\", , \"RNN\"])\n",
    "# dataFFNN.append([\"Local Curvature\", 28.17, \"FFNN\"])\n",
    "# dataRNN.append([\"Local Curvature\", 28.63, \"RNN\"])\n",
    "# # dataFFNN.append([\"1D Writhe\", 49.95, \"FFNN\"])\n",
    "# # dataRNN.append([\"1D Writhe\", 52.04, \"RNN\"])\n",
    "# dataFFNN.append([\"1D Writhe\", 48.93, \"FFNN\"])\n",
    "# dataRNN.append([\"1D Writhe\", 52.22, \"RNN\"])\n",
    "# # dataFFNN.append([\"Local Density\", 73.09, \"FFNN\"])\n",
    "# # dataRNN.append([\"Local Density\", 83.70, \"RNN\"])\n",
    "# dataFFNN.append([\"Local Density\", 75.7, \"FFNN\"])\n",
    "# dataRNN.append([\"Local Density\", 82.41, \"RNN\"])\n",
    "# # dataFFNN.append([\"3D Writhe\", 85.66, \"FFNN\"])\n",
    "# # dataRNN.append([\"3D Writhe\", 89.4, \"RNN\"])\n",
    "# dataFFNN.append([\"3D Writhe\", 86.56, \"FFNN\"])\n",
    "# dataRNN.append([\"3D Writhe\", 90.38, \"RNN\"])\n",
    "\n",
    "\n",
    "\n",
    "# df500 = pd.DataFrame(data500, columns = ['Knot Representation', '5-Class Classification Accuracy (%)', 'Classification'])\n",
    "\n",
    "\n",
    "df = pd.DataFrame(data, columns = ['Knot Representation', '5-Class Classification Accuracy (%)', 'Neural Network'])\n",
    "# dfFFNN = pd.DataFrame(dataFFNN, columns = ['Knot Representation', '5-Class Classification Accuracy (%)', 'Classification'])\n",
    "\n",
    "# dfRNN = pd.DataFrame(dataRNN, columns = ['Knot Representation', '5-Class Classification Accuracy (%)', 'Classification'])\n",
    "dfloc = pd.DataFrame(dataloc, columns = ['Knot Representation', 'Localisation Accuracy (%)', 'Classification'])\n",
    "dfSQRGRN8 = pd.DataFrame(dataSQRGRN8, columns = ['Knot Representation', '3-Class Classification Accuracy (%)', 'Neural Network'])\n",
    "\n",
    "\n",
    "\n",
    "# Create the pandas DataFrame\n",
    "# df100 = pd.DataFrame(data100, columns = ['Knot Representation', '5-Class Classification Accuracy (%)', 'Classification'])\n",
    "# print dataframe.\n",
    "# df100\n",
    "dfSQRGRN8\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "85195db6",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sns.set_theme(style=\"whitegrid\", palette=\"colorblind\")\n",
    "# plt.figure(figsize=(8,8))\n",
    "\n",
    "sns.set_theme(style=\"ticks\", palette=\"colorblind\", font_scale=2)\n",
    "st = sns.axes_style(\"whitegrid\")\n",
    "sns.set_style(\"ticks\", {\"xtick.major.size\": 8, \"ytick.major.size\": 8})\n",
    "plt.figure(figsize=(16,8))\n",
    "\n",
    "plt.ylim(0,100)\n",
    "# plt.title(\"Classification Accuracy for Five 100-Bead Knots of varying Representations\")\n",
    "ax = sns.barplot(x=\"Knot Representation\", y=\"3-Class Classification Accuracy (%)\", data=dfSQRGRN8)\n",
    "plt.xlabel(\"\")\n",
    "plt.setp(ax.get_xticklabels(), rotation=45)\n",
    "# plt.legend(title=\"Neural Network\", loc=\"lower center\")\n",
    "plt.savefig(\"FFNN-100-Bead-SQRGRN8-Classification-Accuracy.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "e0e89e8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sns.set_theme(style=\"whitegrid\", palette=\"colorblind\")\n",
    "# plt.figure(figsize=(8,8))\n",
    "\n",
    "sns.set_theme(style=\"ticks\", palette=\"colorblind\", font_scale=2)\n",
    "st = sns.axes_style(\"whitegrid\")\n",
    "sns.set_style(\"ticks\", {\"xtick.major.size\": 8, \"ytick.major.size\": 8})\n",
    "plt.figure(figsize=(16,8))\n",
    "\n",
    "plt.ylim(0,100)\n",
    "# plt.title(\"Classification Accuracy for Five 100-Bead Knots of varying Representations\")\n",
    "ax = sns.barplot(x=\"Knot Representation\", y=\"Localisation Accuracy (%)\", data=dfloc)\n",
    "plt.xlabel(\"\")\n",
    "plt.setp(ax.get_xticklabels(), rotation=45)\n",
    "# plt.legend(title=\"Knot Representation\", loc=\"lower center\")\n",
    "plt.savefig(\"C:/Users/josep/Downloads/RNN-100Bead-Localisation-Accuracy.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "96ba0c69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sns.set_theme(style=\"whitegrid\", palette=\"colorblind\")\n",
    "# plt.figure(figsize=(8,8))\n",
    "\n",
    "sns.set_theme(style=\"ticks\", palette=\"colorblind\", font_scale=2)\n",
    "st = sns.axes_style(\"whitegrid\")\n",
    "sns.set_style(\"ticks\", {\"xtick.major.size\": 8, \"ytick.major.size\": 8})\n",
    "plt.figure(figsize=(16,8))\n",
    "\n",
    "plt.ylim(0,100)\n",
    "# plt.title(\"Classification Accuracy for Five 100-Bead Knots of varying Representations\")\n",
    "ax = sns.barplot(x=\"Knot Representation\", y=\"5-Class Classification Accuracy (%)\", data=dfFFNN)\n",
    "plt.xlabel(\"\")\n",
    "plt.setp(ax.get_xticklabels(), rotation=45)\n",
    "# plt.legend(title=\"Knot Representation\", loc=\"lower center\")\n",
    "plt.savefig(\"FFNN-100-Bead-Classification-Accuracy.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d15fab76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sns.set_theme(style=\"whitegrid\", palette=\"colorblind\")\n",
    "# plt.figure(figsize=(8,8))\n",
    "\n",
    "sns.set_theme(style=\"ticks\", palette=\"colorblind\", font_scale=2)\n",
    "st = sns.axes_style(\"whitegrid\")\n",
    "sns.set_style(\"ticks\", {\"xtick.major.size\": 8, \"ytick.major.size\": 8})\n",
    "plt.figure(figsize=(16,8))\n",
    "\n",
    "plt.ylim(0,100)\n",
    "# plt.title(\"Classification Accuracy for Five 500-Bead Knots of varying Representations\")\n",
    "ax = sns.barplot(x=\"Knot Representation\", y=\"5-Class Classification Accuracy (%)\", data=dfRNN)\n",
    "plt.xlabel(\"\")\n",
    "plt.setp(ax.get_xticklabels(), rotation=45)\n",
    "# plt.legend(title=\"Knot Representation\", loc=\"lower center\")\n",
    "plt.savefig(\"RNN-100-Bead-Classification-Accuracy.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b5cec95a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# sns.set_theme(style=\"whitegrid\", palette=\"colorblind\")\n",
    "# plt.figure(figsize=(8,8))\n",
    "\n",
    "st = sns.axes_style(\"whitegrid\")\n",
    "sns.set_theme(style=\"ticks\", palette=\"rainbow\", font_scale=2)\n",
    "sns.set_style(\"ticks\", {\"xtick.major.size\": 8, \"ytick.major.size\": 8})\n",
    "plt.figure(figsize=(16,10))\n",
    "\n",
    "plt.ylim(0,100)\n",
    "\n",
    "# plt.title(\"Comparison of the Classification Accuracy between N=100 and N=500\")\n",
    "ax = sns.barplot(x=\"Knot Representation\", y=\"3-Class Classification Accuracy (%)\", hue=\"Neural Network\", data=dfSQRGRN8)\n",
    "plt.legend(title=\"Neural Network\", loc=\"best\")\n",
    "plt.setp(ax.get_xticklabels(), rotation=45)\n",
    "# plt.legend([],[], frameon=False)\n",
    "\n",
    "plt.savefig(\"C:/Users/josep/Downloads/RNN&FFNN-3KNOT-Classification-Accuracy-PIPO.pdf\", bbox_inches='tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8101b212",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
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