Input Data Representation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8bdab68e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.io as sio\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c9912748",
   "metadata": {},
   "outputs": [],
   "source": [
    "file_path = '../data/inputs/deap_3d_eeg/with_base_0.5/PSD/PSD_s01.mat' # path to the one of input data files\n",
    "\n",
    "file = sio.loadmat(file_path)\n",
    "data = file['data']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "01dbefd4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.659750000000001"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(file['arousal_values'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8f474a53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.11775"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(file['valence_values'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "24180d9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.        ,  0.        ,  1.34075115,  0.70526452,  0.        ,\n",
       "         2.83462257,  0.86344045,  0.        ,  0.        ],\n",
       "       [-0.26260739,  0.        ,  1.53625525,  0.        ,  2.49133049,\n",
       "         0.        ,  4.09576831,  0.        ,  0.14561359],\n",
       "       [ 0.        , -0.29456273,  0.        , -0.65539355,  0.        ,\n",
       "         0.17085856,  0.        , -0.16855277,  0.        ],\n",
       "       [ 0.28150095,  0.        , -0.92643317,  0.        , -0.74104842,\n",
       "         0.        , -0.5760032 ,  0.        , -0.58048774],\n",
       "       [ 0.        , -0.38417935,  0.        ,  0.08520103,  0.        ,\n",
       "        -0.2738349 ,  0.        , -0.50506716,  0.        ],\n",
       "       [ 0.72299838,  0.        ,  1.80507897,  0.        ,  0.67053081,\n",
       "         0.        ,  1.26938086,  0.        , -0.91782296],\n",
       "       [ 0.        ,  0.        ,  0.        ,  1.15763459,  0.        ,\n",
       "         1.21814004,  0.        ,  0.        ,  0.        ],\n",
       "       [ 0.        ,  0.        ,  0.        ,  1.23861785,  0.71481741,\n",
       "         0.28920898,  0.        ,  0.        ,  0.        ]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[0][0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a01c0c1d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAABgCAYAAAA0NDgxAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAALxklEQVR4nO3daWxc1RUH8P/xZLyNtzjYDgkhhDQUECWkmLRiKYSwg4Ra2gYERa0qhaoKpUVUov3UTwipKwWqgipUCQSElkZEZQkQoATRgp2GPTEkadIYZ8frxPucfnCITMk7971n7vga/39fvJz35l6feXNm5vm8O6KqICKicJVM9gSIiMjGQk1EFDgWaiKiwLFQExEFjoWaiChwLNRERIGbEWcjEbkMwF0AMgD+pKp3Wttny3JalqtPPSl1PX04OgolTseh2OGSgVEzXijLxBjk6AbzH2F4MC9A8XMLZzumIzGOMADIiD2GFOx4oXRirx/yne0HVLUBSJbfGRU5La1Jn9sFTXvN+I7+WWZce9wPx5IRO57pHjDjw7PKnWNY+velyy0AVNSVafWcqtRj935UacYLWXv/2upDEx4j22vXhfL5g84xIsfu6EN/1+BRH2HOI0NEMgDuBXAxgHYALSKyVlXfi9qnLFeP05ffkna+GKq2H6iZQfuBnhlyV+pC1q44NVv7zHjf/JxzjChvrb8LQPrcnnbpj1OPPWOwYMZV7LyMlrordfnBYXsOebva9B1f4RzD8tqjt+0Ekue3tKYei1bcmnrch277tRn/3rs3mvHhpxucY1QcsO+/unVtZnz3ilOcY1jeuvvWVLkFgOo5Vfj2Q5emHvvF1WeZ8YEG+3F/+YWtzjFeesQeY85L3Wb8pPved44R5bEb1kXG4rx0WQpgq6puV9UhAI8CuDr1bGg85tYv5tcf5raI4hTquQB2jfu5/fDvaOKYW7+YX3+Y2yKKU6iP9l73U+8xRGSliLSKSOvwoH3agI5Ikdt8Eab1ueHM7/jcjvQztwkkPnb7O+3z5xQtTqFuBzBv3M/HAej4/41U9X5VbVbV5mxZ+n8YTDMpcpv+3Pg05Mzv+NzOqGBuE0h87FbMnNg/MqezOIW6BcAiEVkgIqUArgWw1u+0pg3m1i/m1x/mtoicXR+qOiIiqwCsw1gbzgOq+q73mU0DzK1fzK8/zG1xxeqjVtWnADwV90ZLOvPIPf5aZDx/zVfM/btOtm+/scVuw1n008gOoSM++OWp9gZvf2DH559hhgfqot+sFMa1YCfN7UgFcPC06Ba5We/YuSkZtuNDVfabrDjteQOz7IbW/i+WmXFXC1oh1lE7Jkl+y+sHcMp1myPjmx+xW9t2jdSZcVf73bGPbDHjALD7OvvBMXCt48HjUL85fh9w0mO3b38lXr2vOTJ+9k12+5yrh9zVfte21D6uAOCC11vM+Ot7znTehmX949Htf72dGyJjvDKRiChwLNRERIFjoSYiChwLNRFR4FioiYgCx0JNRBQ4FmoiosAl6EiNrzAzh/zy6F7psk67IbKxxZ5W1/X2WiLOHmkAr9x9nxk/FzeZcddSq+Vd0T2bJfaStqYZ/XavdO88+7m3epcZRlmXfd8M1rkPmdEyu9fa1Sc9VG3vX9obZ8Hx5AY+Krd7pR1tuD/73ffNeGOrfdy6eqQBoPGeV834vlVnm/Geha5eYrvHHc87djdUNRwye6U7+mvN/c+/3u5xfvMXS8z44tc3mXEAaGu2l+hd2rrRjD/9QnSfOABcfk303/DYmuj1svmKmogocCzURESBY6EmIgocCzURUeBYqImIAsdCTUQUOBZqIqLAeemjHs0CvfMy7g0j1Ly83bHFiWb04Gnusc+92e6Trt2424x3n3msGR+oj7cedVIlwwXk9lhrBtt9sDNb9pjxzrNmm/HSXncT+BDsP7BqV78Z75tXYca7F/p5fdHU2Inbbl4dGf/V3SvM/V1rfe9rtj+i7tj1+804AOx29EkfarLnULPNzl3X6XYf8UQcn83j93Oi+4h/1BG9VjMAtK2y1wNffI/dJ/3iavv2AWBZq92r/dQ/7PWor3Csib3tm9F1Y/DD6HXc+YqaiChwLNRERIFjoSYiChwLNRFR4FioiYgCx0JNRBQ4FmoiosB56aPODAPVu6L7bQdr7OeHnq/ZfdI1mzsdM5jpiLv7gV190pVmLzNg9TNPZD3qQrYE+dnRt129+l/m/p0rvmrGa7bZayb3LLR7gQEg12HnxtUnXdpnJ6h2m3MKqezdN9PslT7mjej1ggHgwBmVZnz2Bvu43b28wYwDQCG61RYAULnXXsu7drurT9oe4L+Ovc19h3Nmr/Tza+w+54vusXucN/zZ3n/Zd+39AaCtu8mMX3G+vR713//5ZTN+1V//HRnbeEP0fcNX1EREgWOhJiIKHAs1EVHgWKiJiALHQk1EFDgWaiKiwLFQExEFjoWaiChwsS54EZEdAHoBjAIYUdVma/uRCuDA4ujngGPeLJjjVT1hN5X3XG0v3l3z3GYzDgA9F9uLkB9qcD2H2Qv012zpioxl+keOfJ80tyXDBfOCkl7HBS3q+NAC1wUtvfPjPLfbuTnUOLHXBz0nxN8/SX4LWSA/11p4376gZThnz2XPefaFWKN22gAAGcd1Vpt+/gczvuSOH5rxhk32RT3jJT12FcBgIbrkXPR1+4KUrd85wYyf96C9//qdJ5lxAFg+/30z/uQrdu256ly7dr3wl+iLcno7N0TGklyZuExVDyTYnuJjbv1ifv1hbouApz6IiAIXt1ArgGdFZKOIrPQ5oWmIufWL+fWHuS2SuKc+zlHVDhFpBPCciGxR1ZfHb3D4jloJADNq3Ysi0RGJcltWVjsZc5zKzPx+4rit43GbUKJjt2q24yQ+RYr1ilpVOw5/3QdgDYClR9nmflVtVtXmTI53SFxJc1uaZW6TcOWXx216SY/d8pkx/ltKR+Us1CKSE5Hqj78HcAmAd3xPbDpgbv1ifv1hbosrzqmPJgBrROTj7R9W1We8zmr6YG79Yn79YW6LyFmoVXU7gMWJbrTf3Stt6XP0SVc/+aYZ77nSPd3uBXZDce1/JrC6P4Cek+siY6MfjqU9TW4L2RLk56R/CymOP+vV3/7RjJ/9kx84x+g+0X6jVrs9/bEBADU74u2fNL8lw0DuQ3vhfUs2b8cr99rJP9TkaHIHsOH235jxJXfc6rwNy/4ldq84Xhn7kubYFQBlJSPO7aJ84cEdZvyDZeVmfPmLdo80AKz/m/3hA1d+w/3hA5YLvxW9/2NPRPewsz2PiChwLNRERIFjoSYiChwLNRFR4FioiYgCx0JNRBQ4FmoiosAlWeY0GHL8XDOeGbLWFB4z7+mDZtzqg/48O/Vee73i+lF3f3l9m73NaDZ9r/JUtvsCO57tdB+352+68bOZzOfQzlu+ZMZ773Qfu1WV7vtgMvAVNRFR4FioiYgCx0JNRBQ4FmoiosCxUBMRBY6FmogocCzURESBE9XPvm9QRPYD2DnuV8cACPkj5Ys9v/mq2pBmR+Y2llT5nYK5BXjs+hRMbr0U6k8NItKqqs3eB0op9PlZQp976POzTIW5T4U5Rgl97iHNj6c+iIgCx0JNRBS4YhXq+4s0Tlqhz88S+txDn59lKsx9KswxSuhzD2Z+RTlHTURE6fHUBxFR4LwWahG5TETaRGSriNzuc6y0RGSHiLwtIm+ISOtkzycu5tav0PPL3PoVWn69nfoQkQyA9wFcDKAdQAuA61T1PS8DpiQiOwA0q2rI/ZyfwNz6NRXyy9z6FVp+fb6iXgpgq6puV9UhAI8CuNrjeNMJc+sX8+sPc5uCz0I9F8CucT+3H/5daBTAsyKyUURWTvZkYmJu/ZoK+WVu/Qoqvz4/iuton7cUYovJOaraISKNAJ4TkS2q+vJkT8qBufVrKuSXufUrqPz6fEXdDmDeuJ+PA9DhcbxUVLXj8Nd9ANZg7K1Z6Jhbv4LPL3PrV2j59VmoWwAsEpEFIlIK4FoAaz2Ol5iI5ESk+uPvAVwC4J3JnVUszK1fQeeXufUrxPx6O/WhqiMisgrAOgAZAA+o6ru+xkupCcAaEQHGcvGwqj4zuVNyY279mgL5ZW79Ci6/vDKRiChwvDKRiChwLNRERIFjoSYiChwLNRFR4FioiYgCx0JNRBQ4FmoiosCxUBMRBe5/s94RgFMk+NQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, trial in enumerate(data):\n",
    "    for j, band_map in enumerate(trial):\n",
    "        plt.subplot(1,4,j+1)\n",
    "        plt.imshow(band_map)\n",
    "    plt.show()\n",
    "    if i > 10:\n",
    "        break"
   ]
  }
 ],
 "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": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}