E24_Kernel Function try error.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6ee6546d",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "# import seaborn as sns\n",
    "from sklearn.preprocessing import Normalizer\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.preprocessing import RobustScaler\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.preprocessing import PowerTransformer\n",
    "from sklearn.metrics import pairwise_distances\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4ac3e06d",
   "metadata": {},
   "outputs": [],
   "source": [
    "train_normal = pd.read_csv('./data/normal_training.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cedd2891",
   "metadata": {},
   "outputs": [],
   "source": [
    "test_faulty = pd.read_csv('./data/faulty_testing.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7fc555a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# data preparing\n",
    "df_train = train_normal[(train_normal.simulationRun>=1)].iloc[:500,3:]\n",
    "\n",
    "df_test = train_normal[(train_normal.simulationRun>5)&(train_normal.simulationRun<10)].iloc[:,3:].reset_index(drop=True)\n",
    "# IDV = 1\n",
    "# df_test = test_faulty[(test_faulty.faultNumber==IDV) & \n",
    "#                                (test_faulty.simulationRun==1)].iloc[:,3:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "312ddba2",
   "metadata": {},
   "outputs": [],
   "source": [
    "def scl_pick(name, data):\n",
    "    \"\"\"\n",
    "    the several option for name:\n",
    "    -std\n",
    "    -minmax\n",
    "    -robust\n",
    "    -norm\n",
    "    -pwr\n",
    "    \"\"\"\n",
    "    if name == 'std':\n",
    "        std_scl = StandardScaler().fit(data)\n",
    "        df_scl = std_scl.transform(data)\n",
    "        df_scl = pd.DataFrame(df_scl)\n",
    "    elif name == 'minmax':\n",
    "        MM_scl = MinMaxScaler().fit(data)\n",
    "        df_scl = MM_scl.transform(data)\n",
    "        df_scl = pd.DataFrame(df_scl)\n",
    "    elif name == 'robust':\n",
    "        rb_scl = RobustScaler().fit(data)\n",
    "        df_scl = rb_scl.transform(data)\n",
    "        df_scl = pd.DataFrame(df_scl)\n",
    "    elif name == 'norm': ##### xxxxxx\n",
    "        df_norm = Normalizer().fit(data)\n",
    "        df_scl = df_norm.transform(data)\n",
    "        df_scl = pd.DataFrame(df_scl)\n",
    "    else:\n",
    "        pt_scl = PowerTransformer().fit(data)\n",
    "        df_scl = pt_scl.transform(data)\n",
    "        df_scl = pd.DataFrame(df_scl)\n",
    "    return df_scl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5425ff4d",
   "metadata": {},
   "outputs": [],
   "source": [
    "nComponent = 16 # 30\n",
    "nSamples = df_train.shape[0]\n",
    "conf_T2 = 0.95 # 0.99"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "01624585",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_scl = scl_pick('std', df_train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "a107db27",
   "metadata": {},
   "outputs": [],
   "source": [
    "IDV = 1\n",
    "df_test = test_faulty[(test_faulty.faultNumber==IDV) & \n",
    "                               (test_faulty.simulationRun==1)].iloc[:,3:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "2cab5392",
   "metadata": {},
   "outputs": [],
   "source": [
    "dtst = scl_pick('std', df_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "846df678",
   "metadata": {},
   "outputs": [],
   "source": [
    "def kernelFunc(name, x, y):\n",
    "    \"\"\"\n",
    "    - Linear : lin\n",
    "    - Gaussian : gauss\n",
    "    - Polynomial : poly\n",
    "    - Sigmoid : sig\n",
    "    - Laplacian : lap\n",
    "    \"\"\"\n",
    "    gamma = 0.1\n",
    "    offset = 0\n",
    "    if name == 'lin':\n",
    "        lin = x@y.T\n",
    "        Kdat = lin\n",
    "        \n",
    "    elif name == 'gauss':\n",
    "        pdist_gs = pairwise_distances(x, y, metric='sqeuclidean')\n",
    "        gaus = np.exp(-gamma*pdist_gs)\n",
    "        Kdat = gaus\n",
    "        \n",
    "    elif name == 'poly':\n",
    "        poly = gamma*x@y.T+offset\n",
    "        powr = np.power(poly,2)\n",
    "        fpoly = poly+powr\n",
    "        Kdat = fpoly\n",
    "        \n",
    "    elif name == 'sig':\n",
    "        sig = gamma*x@y.T+offset\n",
    "        fsig = np.tanh(sig)\n",
    "        Kdat = fsig\n",
    "        \n",
    "    elif name == 'lap':\n",
    "        pdist_lap = pairwise_distances(x, y, metric='cityblock')\n",
    "        lap = np.exp(-gamma*pdist_lap)\n",
    "        Kdat = lap\n",
    "        \n",
    "    return Kdat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "50acb6d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "K = kernelFunc('gauss', df_scl, df_scl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "822f39fa",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.00000000e+00, 5.54932851e-02, 2.26569364e-02, ...,\n",
       "        2.30713244e-02, 8.62905812e-03, 1.19570302e-03],\n",
       "       [5.54932851e-02, 1.00000000e+00, 1.03695024e-02, ...,\n",
       "        1.74256530e-03, 1.29295960e-03, 9.08310915e-04],\n",
       "       [2.26569364e-02, 1.03695024e-02, 1.00000000e+00, ...,\n",
       "        9.49673322e-04, 1.83007699e-03, 1.84790770e-04],\n",
       "       ...,\n",
       "       [2.30713244e-02, 1.74256530e-03, 9.49673322e-04, ...,\n",
       "        1.00000000e+00, 5.64087945e-03, 3.16629433e-04],\n",
       "       [8.62905812e-03, 1.29295960e-03, 1.83007699e-03, ...,\n",
       "        5.64087945e-03, 1.00000000e+00, 2.56041057e-02],\n",
       "       [1.19570302e-03, 9.08310915e-04, 1.84790770e-04, ...,\n",
       "        3.16629433e-04, 2.56041057e-02, 1.00000000e+00]])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "bba17439",
   "metadata": {},
   "outputs": [],
   "source": [
    "K = pd.DataFrame(K)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "24f7b5ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "K = round(K, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d85d38d4",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>490</th>\n",
       "      <th>491</th>\n",
       "      <th>492</th>\n",
       "      <th>493</th>\n",
       "      <th>494</th>\n",
       "      <th>495</th>\n",
       "      <th>496</th>\n",
       "      <th>497</th>\n",
       "      <th>498</th>\n",
       "      <th>499</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0555</td>\n",
       "      <td>0.0227</td>\n",
       "      <td>0.0109</td>\n",
       "      <td>0.0239</td>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0192</td>\n",
       "      <td>0.0187</td>\n",
       "      <td>0.0036</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0058</td>\n",
       "      <td>0.0066</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0027</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0093</td>\n",
       "      <td>0.0231</td>\n",
       "      <td>0.0086</td>\n",
       "      <td>0.0012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0555</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0104</td>\n",
       "      <td>0.0391</td>\n",
       "      <td>0.0061</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0411</td>\n",
       "      <td>0.0226</td>\n",
       "      <td>0.0013</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0036</td>\n",
       "      <td>0.0186</td>\n",
       "      <td>0.0326</td>\n",
       "      <td>0.0017</td>\n",
       "      <td>0.0013</td>\n",
       "      <td>0.0009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0227</td>\n",
       "      <td>0.0104</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.1485</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0206</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0012</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0036</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0109</td>\n",
       "      <td>0.0391</td>\n",
       "      <td>0.1485</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0156</td>\n",
       "      <td>0.0126</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0047</td>\n",
       "      <td>0.0033</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0239</td>\n",
       "      <td>0.0061</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0446</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0002</td>\n",
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       "      <th>...</th>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0186</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0047</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0105</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.0093</td>\n",
       "      <td>0.0326</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0033</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0025</td>\n",
       "      <td>0.0025</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0635</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.0231</td>\n",
       "      <td>0.0017</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0635</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.0086</td>\n",
       "      <td>0.0013</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.0012</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>1.0000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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       "<p>500 rows × 500 columns</p>\n",
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      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    1.0000  0.0555  0.0227  0.0109  0.0239  0.0014  0.0192  0.0187  0.0036   \n",
       "1    0.0555  1.0000  0.0104  0.0391  0.0061  0.0005  0.0411  0.0226  0.0013   \n",
       "2    0.0227  0.0104  1.0000  0.1485  0.0011  0.0005  0.0075  0.0206  0.0002   \n",
       "3    0.0109  0.0391  0.1485  1.0000  0.0008  0.0002  0.0156  0.0126  0.0002   \n",
       "4    0.0239  0.0061  0.0011  0.0008  1.0000  0.0446  0.0007  0.0003  0.0005   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0007  0.0186  0.0009  0.0047  0.0002  0.0000  0.0014  0.0007  0.0004   \n",
       "496  0.0093  0.0326  0.0029  0.0033  0.0009  0.0001  0.0025  0.0025  0.0001   \n",
       "497  0.0231  0.0017  0.0009  0.0003  0.0022  0.0001  0.0004  0.0003  0.0001   \n",
       "498  0.0086  0.0013  0.0018  0.0004  0.0003  0.0001  0.0008  0.0005  0.0005   \n",
       "499  0.0012  0.0009  0.0002  0.0004  0.0002  0.0000  0.0001  0.0000  0.0000   \n",
       "\n",
       "        9    ...     490     491     492     493     494     495     496  \\\n",
       "0    0.0023  ...  0.0058  0.0066  0.0001  0.0011  0.0027  0.0007  0.0093   \n",
       "1    0.0018  ...  0.0040  0.0024  0.0003  0.0003  0.0036  0.0186  0.0326   \n",
       "2    0.0008  ...  0.0037  0.0021  0.0012  0.0000  0.0036  0.0009  0.0029   \n",
       "3    0.0003  ...  0.0023  0.0018  0.0008  0.0001  0.0016  0.0047  0.0033   \n",
       "4    0.0002  ...  0.0005  0.0007  0.0000  0.0000  0.0004  0.0002  0.0009   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0004  ...  0.0002  0.0001  0.0001  0.0000  0.0105  1.0000  0.0045   \n",
       "496  0.0001  ...  0.0014  0.0008  0.0003  0.0001  0.0008  0.0045  1.0000   \n",
       "497  0.0000  ...  0.0002  0.0007  0.0003  0.0004  0.0001  0.0001  0.0635   \n",
       "498  0.0001  ...  0.0002  0.0001  0.0003  0.0000  0.0019  0.0016  0.0021   \n",
       "499  0.0000  ...  0.0000  0.0000  0.0000  0.0000  0.0001  0.0005  0.0001   \n",
       "\n",
       "        497     498     499  \n",
       "0    0.0231  0.0086  0.0012  \n",
       "1    0.0017  0.0013  0.0009  \n",
       "2    0.0009  0.0018  0.0002  \n",
       "3    0.0003  0.0004  0.0004  \n",
       "4    0.0022  0.0003  0.0002  \n",
       "..      ...     ...     ...  \n",
       "495  0.0001  0.0016  0.0005  \n",
       "496  0.0635  0.0021  0.0001  \n",
       "497  1.0000  0.0056  0.0003  \n",
       "498  0.0056  1.0000  0.0256  \n",
       "499  0.0003  0.0256  1.0000  \n",
       "\n",
       "[500 rows x 500 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "23b1a04b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Gaussian')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "c55d867d",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
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       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
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       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
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       "      <th>491</th>\n",
       "      <th>492</th>\n",
       "      <th>493</th>\n",
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       "      <th>497</th>\n",
       "      <th>498</th>\n",
       "      <th>499</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>11.2546</td>\n",
       "      <td>-1.0061</td>\n",
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       "      <td>-9.1364</td>\n",
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       "      <td>-10.6717</td>\n",
       "      <td>-3.1036</td>\n",
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       "      <td>-1.1397</td>\n",
       "      <td>-2.0652</td>\n",
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       "      <td>-1.0061</td>\n",
       "      <td>15.6481</td>\n",
       "      <td>-1.6439</td>\n",
       "      <td>5.6558</td>\n",
       "      <td>2.5903</td>\n",
       "      <td>-0.4408</td>\n",
       "      <td>6.0022</td>\n",
       "      <td>4.6069</td>\n",
       "      <td>-2.4341</td>\n",
       "      <td>2.6042</td>\n",
       "      <td>...</td>\n",
       "      <td>0.9103</td>\n",
       "      <td>1.0257</td>\n",
       "      <td>-2.7119</td>\n",
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       "      <td>-8.4340</td>\n",
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       "      <td>17.8784</td>\n",
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       "      <td>5.1255</td>\n",
       "      <td>3.0532</td>\n",
       "      <td>9.6956</td>\n",
       "      <td>-6.1012</td>\n",
       "      <td>3.9284</td>\n",
       "      <td>...</td>\n",
       "      <td>6.0349</td>\n",
       "      <td>5.8823</td>\n",
       "      <td>9.4580</td>\n",
       "      <td>-6.5917</td>\n",
       "      <td>5.7670</td>\n",
       "      <td>-1.7374</td>\n",
       "      <td>-1.2486</td>\n",
       "      <td>-3.1189</td>\n",
       "      <td>-1.1444</td>\n",
       "      <td>-3.6523</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-2.9111</td>\n",
       "      <td>5.6558</td>\n",
       "      <td>17.8784</td>\n",
       "      <td>28.0756</td>\n",
       "      <td>-1.2179</td>\n",
       "      <td>1.0285</td>\n",
       "      <td>7.3694</td>\n",
       "      <td>7.8788</td>\n",
       "      <td>-6.3967</td>\n",
       "      <td>-0.0440</td>\n",
       "      <td>...</td>\n",
       "      <td>4.3926</td>\n",
       "      <td>5.6318</td>\n",
       "      <td>7.7203</td>\n",
       "      <td>0.8116</td>\n",
       "      <td>2.4675</td>\n",
       "      <td>7.4404</td>\n",
       "      <td>0.0878</td>\n",
       "      <td>-8.0281</td>\n",
       "      <td>-7.5140</td>\n",
       "      <td>1.3202</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>7.1808</td>\n",
       "      <td>2.5903</td>\n",
       "      <td>-0.3144</td>\n",
       "      <td>-1.2179</td>\n",
       "      <td>40.4632</td>\n",
       "      <td>34.7838</td>\n",
       "      <td>-1.6998</td>\n",
       "      <td>-4.6655</td>\n",
       "      <td>5.3079</td>\n",
       "      <td>4.0269</td>\n",
       "      <td>...</td>\n",
       "      <td>2.6487</td>\n",
       "      <td>6.9229</td>\n",
       "      <td>-7.3993</td>\n",
       "      <td>0.6240</td>\n",
       "      <td>1.2561</td>\n",
       "      <td>-2.8091</td>\n",
       "      <td>-0.0297</td>\n",
       "      <td>7.9712</td>\n",
       "      <td>-3.6725</td>\n",
       "      <td>2.6617</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>-10.6717</td>\n",
       "      <td>8.1394</td>\n",
       "      <td>-1.7374</td>\n",
       "      <td>7.4404</td>\n",
       "      <td>-2.8091</td>\n",
       "      <td>-4.6987</td>\n",
       "      <td>1.3551</td>\n",
       "      <td>-0.1489</td>\n",
       "      <td>3.5153</td>\n",
       "      <td>8.0465</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.7640</td>\n",
       "      <td>-4.2109</td>\n",
       "      <td>3.4619</td>\n",
       "      <td>-6.7193</td>\n",
       "      <td>18.0342</td>\n",
       "      <td>40.4634</td>\n",
       "      <td>7.8603</td>\n",
       "      <td>-8.1576</td>\n",
       "      <td>4.9551</td>\n",
       "      <td>8.0359</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-3.1036</td>\n",
       "      <td>5.3727</td>\n",
       "      <td>-1.2486</td>\n",
       "      <td>0.0878</td>\n",
       "      <td>-0.0297</td>\n",
       "      <td>-1.6336</td>\n",
       "      <td>-1.1372</td>\n",
       "      <td>0.5024</td>\n",
       "      <td>-8.1360</td>\n",
       "      <td>-5.7611</td>\n",
       "      <td>...</td>\n",
       "      <td>2.4612</td>\n",
       "      <td>2.0566</td>\n",
       "      <td>3.4044</td>\n",
       "      <td>-1.0325</td>\n",
       "      <td>-0.6508</td>\n",
       "      <td>7.8603</td>\n",
       "      <td>29.3335</td>\n",
       "      <td>19.1863</td>\n",
       "      <td>0.8289</td>\n",
       "      <td>-3.4576</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>5.0830</td>\n",
       "      <td>-5.6364</td>\n",
       "      <td>-3.1189</td>\n",
       "      <td>-8.0281</td>\n",
       "      <td>7.9712</td>\n",
       "      <td>2.7138</td>\n",
       "      <td>-6.1559</td>\n",
       "      <td>-6.8423</td>\n",
       "      <td>-4.2052</td>\n",
       "      <td>-12.1509</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.6193</td>\n",
       "      <td>4.9957</td>\n",
       "      <td>6.7108</td>\n",
       "      <td>11.2941</td>\n",
       "      <td>-6.0442</td>\n",
       "      <td>-8.1576</td>\n",
       "      <td>19.1863</td>\n",
       "      <td>36.6030</td>\n",
       "      <td>9.4090</td>\n",
       "      <td>3.9652</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-1.1397</td>\n",
       "      <td>-8.4340</td>\n",
       "      <td>-1.1444</td>\n",
       "      <td>-7.5140</td>\n",
       "      <td>-3.6725</td>\n",
       "      <td>-1.2937</td>\n",
       "      <td>-4.3835</td>\n",
       "      <td>-4.9696</td>\n",
       "      <td>2.1950</td>\n",
       "      <td>-4.8472</td>\n",
       "      <td>...</td>\n",
       "      <td>-4.1391</td>\n",
       "      <td>-8.8627</td>\n",
       "      <td>6.1837</td>\n",
       "      <td>-2.5521</td>\n",
       "      <td>6.3513</td>\n",
       "      <td>4.9551</td>\n",
       "      <td>0.8289</td>\n",
       "      <td>9.4090</td>\n",
       "      <td>33.9922</td>\n",
       "      <td>24.6237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-2.0652</td>\n",
       "      <td>-1.2430</td>\n",
       "      <td>-3.6523</td>\n",
       "      <td>1.3202</td>\n",
       "      <td>2.6617</td>\n",
       "      <td>-1.0272</td>\n",
       "      <td>-6.0021</td>\n",
       "      <td>-8.5326</td>\n",
       "      <td>-2.8220</td>\n",
       "      <td>-5.1310</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.9279</td>\n",
       "      <td>-2.1048</td>\n",
       "      <td>-0.7860</td>\n",
       "      <td>1.2658</td>\n",
       "      <td>1.1187</td>\n",
       "      <td>8.0359</td>\n",
       "      <td>-3.4576</td>\n",
       "      <td>3.9652</td>\n",
       "      <td>24.6237</td>\n",
       "      <td>51.9051</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 500 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         0        1        2        3        4        5       6       7    \\\n",
       "0    11.2546  -1.0061   0.0674  -2.9111   7.1808   2.8010  0.0057  1.4510   \n",
       "1    -1.0061  15.6481  -1.6439   5.6558   2.5903  -0.4408  6.0022  4.6069   \n",
       "2     0.0674  -1.6439  26.7531  17.8784  -0.3144   5.1255  3.0532  9.6956   \n",
       "3    -2.9111   5.6558  17.8784  28.0756  -1.2179   1.0285  7.3694  7.8788   \n",
       "4     7.1808   2.5903  -0.3144  -1.2179  40.4632  34.7838 -1.6998 -4.6655   \n",
       "..       ...      ...      ...      ...      ...      ...     ...     ...   \n",
       "495 -10.6717   8.1394  -1.7374   7.4404  -2.8091  -4.6987  1.3551 -0.1489   \n",
       "496  -3.1036   5.3727  -1.2486   0.0878  -0.0297  -1.6336 -1.1372  0.5024   \n",
       "497   5.0830  -5.6364  -3.1189  -8.0281   7.9712   2.7138 -6.1559 -6.8423   \n",
       "498  -1.1397  -8.4340  -1.1444  -7.5140  -3.6725  -1.2937 -4.3835 -4.9696   \n",
       "499  -2.0652  -1.2430  -3.6523   1.3202   2.6617  -1.0272 -6.0021 -8.5326   \n",
       "\n",
       "        8        9    ...     490     491     492      493      494      495  \\\n",
       "0    0.4063   1.5802  ...  0.5930  3.8502 -9.1364   4.2919  -3.3995 -10.6717   \n",
       "1   -2.4341   2.6042  ...  0.9103  1.0257 -2.7119   0.1541   0.3194   8.1394   \n",
       "2   -6.1012   3.9284  ...  6.0349  5.8823  9.4580  -6.5917   5.7670  -1.7374   \n",
       "3   -6.3967  -0.0440  ...  4.3926  5.6318  7.7203   0.8116   2.4675   7.4404   \n",
       "4    5.3079   4.0269  ...  2.6487  6.9229 -7.3993   0.6240   1.2561  -2.8091   \n",
       "..      ...      ...  ...     ...     ...     ...      ...      ...      ...   \n",
       "495  3.5153   8.0465  ... -0.7640 -4.2109  3.4619  -6.7193  18.0342  40.4634   \n",
       "496 -8.1360  -5.7611  ...  2.4612  2.0566  3.4044  -1.0325  -0.6508   7.8603   \n",
       "497 -4.2052 -12.1509  ... -2.6193  4.9957  6.7108  11.2941  -6.0442  -8.1576   \n",
       "498  2.1950  -4.8472  ... -4.1391 -8.8627  6.1837  -2.5521   6.3513   4.9551   \n",
       "499 -2.8220  -5.1310  ... -2.9279 -2.1048 -0.7860   1.2658   1.1187   8.0359   \n",
       "\n",
       "         496      497      498      499  \n",
       "0    -3.1036   5.0830  -1.1397  -2.0652  \n",
       "1     5.3727  -5.6364  -8.4340  -1.2430  \n",
       "2    -1.2486  -3.1189  -1.1444  -3.6523  \n",
       "3     0.0878  -8.0281  -7.5140   1.3202  \n",
       "4    -0.0297   7.9712  -3.6725   2.6617  \n",
       "..       ...      ...      ...      ...  \n",
       "495   7.8603  -8.1576   4.9551   8.0359  \n",
       "496  29.3335  19.1863   0.8289  -3.4576  \n",
       "497  19.1863  36.6030   9.4090   3.9652  \n",
       "498   0.8289   9.4090  33.9922  24.6237  \n",
       "499  -3.4576   3.9652  24.6237  51.9051  \n",
       "\n",
       "[500 rows x 500 columns]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('lin', df_scl, df_scl)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4aea73f2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Linear')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f40167f0",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>490</th>\n",
       "      <th>491</th>\n",
       "      <th>492</th>\n",
       "      <th>493</th>\n",
       "      <th>494</th>\n",
       "      <th>495</th>\n",
       "      <th>496</th>\n",
       "      <th>497</th>\n",
       "      <th>498</th>\n",
       "      <th>499</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.3921</td>\n",
       "      <td>-0.0905</td>\n",
       "      <td>0.0068</td>\n",
       "      <td>-0.2064</td>\n",
       "      <td>1.2337</td>\n",
       "      <td>0.3586</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.1661</td>\n",
       "      <td>0.0423</td>\n",
       "      <td>0.1830</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0628</td>\n",
       "      <td>0.5333</td>\n",
       "      <td>-0.0789</td>\n",
       "      <td>0.6134</td>\n",
       "      <td>-0.2244</td>\n",
       "      <td>0.0717</td>\n",
       "      <td>-0.2140</td>\n",
       "      <td>0.7667</td>\n",
       "      <td>-0.1010</td>\n",
       "      <td>-0.1639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.0905</td>\n",
       "      <td>4.0134</td>\n",
       "      <td>-0.1374</td>\n",
       "      <td>0.8855</td>\n",
       "      <td>0.3261</td>\n",
       "      <td>-0.0421</td>\n",
       "      <td>0.9605</td>\n",
       "      <td>0.6729</td>\n",
       "      <td>-0.1842</td>\n",
       "      <td>0.3282</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0993</td>\n",
       "      <td>0.1131</td>\n",
       "      <td>-0.1976</td>\n",
       "      <td>0.0156</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>1.4764</td>\n",
       "      <td>0.8259</td>\n",
       "      <td>-0.2459</td>\n",
       "      <td>-0.1321</td>\n",
       "      <td>-0.1088</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0068</td>\n",
       "      <td>-0.1374</td>\n",
       "      <td>9.8326</td>\n",
       "      <td>4.9842</td>\n",
       "      <td>-0.0304</td>\n",
       "      <td>0.7752</td>\n",
       "      <td>0.3985</td>\n",
       "      <td>1.9096</td>\n",
       "      <td>-0.2379</td>\n",
       "      <td>0.5472</td>\n",
       "      <td>...</td>\n",
       "      <td>0.9677</td>\n",
       "      <td>0.9343</td>\n",
       "      <td>1.8403</td>\n",
       "      <td>-0.2247</td>\n",
       "      <td>0.9093</td>\n",
       "      <td>-0.1436</td>\n",
       "      <td>-0.1093</td>\n",
       "      <td>-0.2146</td>\n",
       "      <td>-0.1013</td>\n",
       "      <td>-0.2318</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.2064</td>\n",
       "      <td>0.8855</td>\n",
       "      <td>4.9842</td>\n",
       "      <td>10.6899</td>\n",
       "      <td>-0.1070</td>\n",
       "      <td>0.1134</td>\n",
       "      <td>1.2800</td>\n",
       "      <td>1.4086</td>\n",
       "      <td>-0.2305</td>\n",
       "      <td>-0.0044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.6322</td>\n",
       "      <td>0.8804</td>\n",
       "      <td>1.3681</td>\n",
       "      <td>0.0878</td>\n",
       "      <td>0.3076</td>\n",
       "      <td>1.2976</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>-0.1583</td>\n",
       "      <td>-0.1868</td>\n",
       "      <td>0.1495</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.2337</td>\n",
       "      <td>0.3261</td>\n",
       "      <td>-0.0304</td>\n",
       "      <td>-0.1070</td>\n",
       "      <td>20.4191</td>\n",
       "      <td>15.5775</td>\n",
       "      <td>-0.1411</td>\n",
       "      <td>-0.2489</td>\n",
       "      <td>0.8125</td>\n",
       "      <td>0.5648</td>\n",
       "      <td>...</td>\n",
       "      <td>0.3350</td>\n",
       "      <td>1.1715</td>\n",
       "      <td>-0.1924</td>\n",
       "      <td>0.0663</td>\n",
       "      <td>0.1414</td>\n",
       "      <td>-0.2020</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>1.4325</td>\n",
       "      <td>-0.2324</td>\n",
       "      <td>0.3370</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.0717</td>\n",
       "      <td>1.4764</td>\n",
       "      <td>-0.1436</td>\n",
       "      <td>1.2976</td>\n",
       "      <td>-0.2020</td>\n",
       "      <td>-0.2491</td>\n",
       "      <td>0.1539</td>\n",
       "      <td>-0.0147</td>\n",
       "      <td>0.4751</td>\n",
       "      <td>1.4521</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.0706</td>\n",
       "      <td>-0.2438</td>\n",
       "      <td>0.4660</td>\n",
       "      <td>-0.2204</td>\n",
       "      <td>5.0557</td>\n",
       "      <td>20.4192</td>\n",
       "      <td>1.4039</td>\n",
       "      <td>-0.1503</td>\n",
       "      <td>0.7410</td>\n",
       "      <td>1.4494</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-0.2140</td>\n",
       "      <td>0.8259</td>\n",
       "      <td>-0.1093</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>-0.1367</td>\n",
       "      <td>-0.1008</td>\n",
       "      <td>0.0528</td>\n",
       "      <td>-0.1517</td>\n",
       "      <td>-0.2442</td>\n",
       "      <td>...</td>\n",
       "      <td>0.3067</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>0.4563</td>\n",
       "      <td>-0.0926</td>\n",
       "      <td>-0.0608</td>\n",
       "      <td>1.4039</td>\n",
       "      <td>11.5379</td>\n",
       "      <td>5.5998</td>\n",
       "      <td>0.0898</td>\n",
       "      <td>-0.2262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.7667</td>\n",
       "      <td>-0.2459</td>\n",
       "      <td>-0.2146</td>\n",
       "      <td>-0.1583</td>\n",
       "      <td>1.4325</td>\n",
       "      <td>0.3450</td>\n",
       "      <td>-0.2366</td>\n",
       "      <td>-0.2161</td>\n",
       "      <td>-0.2437</td>\n",
       "      <td>0.2613</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1933</td>\n",
       "      <td>0.7491</td>\n",
       "      <td>1.1214</td>\n",
       "      <td>2.4050</td>\n",
       "      <td>-0.2391</td>\n",
       "      <td>-0.1503</td>\n",
       "      <td>5.5998</td>\n",
       "      <td>17.0581</td>\n",
       "      <td>1.8262</td>\n",
       "      <td>0.5537</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.1010</td>\n",
       "      <td>-0.1321</td>\n",
       "      <td>-0.1013</td>\n",
       "      <td>-0.1868</td>\n",
       "      <td>-0.2324</td>\n",
       "      <td>-0.1126</td>\n",
       "      <td>-0.2462</td>\n",
       "      <td>-0.2500</td>\n",
       "      <td>0.2677</td>\n",
       "      <td>-0.2498</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2426</td>\n",
       "      <td>-0.1008</td>\n",
       "      <td>1.0008</td>\n",
       "      <td>-0.1901</td>\n",
       "      <td>1.0385</td>\n",
       "      <td>0.7410</td>\n",
       "      <td>0.0898</td>\n",
       "      <td>1.8262</td>\n",
       "      <td>14.9539</td>\n",
       "      <td>8.5256</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-0.1639</td>\n",
       "      <td>-0.1088</td>\n",
       "      <td>-0.2318</td>\n",
       "      <td>0.1495</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-0.0922</td>\n",
       "      <td>-0.2400</td>\n",
       "      <td>-0.1252</td>\n",
       "      <td>-0.2026</td>\n",
       "      <td>-0.2498</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2071</td>\n",
       "      <td>-0.1662</td>\n",
       "      <td>-0.0724</td>\n",
       "      <td>0.1426</td>\n",
       "      <td>0.1244</td>\n",
       "      <td>1.4494</td>\n",
       "      <td>-0.2262</td>\n",
       "      <td>0.5537</td>\n",
       "      <td>8.5256</td>\n",
       "      <td>32.1319</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 500 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2        3        4        5       6       7    \\\n",
       "0    2.3921 -0.0905  0.0068  -0.2064   1.2337   0.3586  0.0006  0.1661   \n",
       "1   -0.0905  4.0134 -0.1374   0.8855   0.3261  -0.0421  0.9605  0.6729   \n",
       "2    0.0068 -0.1374  9.8326   4.9842  -0.0304   0.7752  0.3985  1.9096   \n",
       "3   -0.2064  0.8855  4.9842  10.6899  -0.1070   0.1134  1.2800  1.4086   \n",
       "4    1.2337  0.3261 -0.0304  -0.1070  20.4191  15.5775 -0.1411 -0.2489   \n",
       "..      ...     ...     ...      ...      ...      ...     ...     ...   \n",
       "495  0.0717  1.4764 -0.1436   1.2976  -0.2020  -0.2491  0.1539 -0.0147   \n",
       "496 -0.2140  0.8259 -0.1093   0.0089  -0.0030  -0.1367 -0.1008  0.0528   \n",
       "497  0.7667 -0.2459 -0.2146  -0.1583   1.4325   0.3450 -0.2366 -0.2161   \n",
       "498 -0.1010 -0.1321 -0.1013  -0.1868  -0.2324  -0.1126 -0.2462 -0.2500   \n",
       "499 -0.1639 -0.1088 -0.2318   0.1495   0.3370  -0.0922 -0.2400 -0.1252   \n",
       "\n",
       "        8       9    ...     490     491     492     493     494      495  \\\n",
       "0    0.0423  0.1830  ...  0.0628  0.5333 -0.0789  0.6134 -0.2244   0.0717   \n",
       "1   -0.1842  0.3282  ...  0.0993  0.1131 -0.1976  0.0156  0.0330   1.4764   \n",
       "2   -0.2379  0.5472  ...  0.9677  0.9343  1.8403 -0.2247  0.9093  -0.1436   \n",
       "3   -0.2305 -0.0044  ...  0.6322  0.8804  1.3681  0.0878  0.3076   1.2976   \n",
       "4    0.8125  0.5648  ...  0.3350  1.1715 -0.1924  0.0663  0.1414  -0.2020   \n",
       "..      ...     ...  ...     ...     ...     ...     ...     ...      ...   \n",
       "495  0.4751  1.4521  ... -0.0706 -0.2438  0.4660 -0.2204  5.0557  20.4192   \n",
       "496 -0.1517 -0.2442  ...  0.3067  0.2480  0.4563 -0.0926 -0.0608   1.4039   \n",
       "497 -0.2437  0.2613  ... -0.1933  0.7491  1.1214  2.4050 -0.2391  -0.1503   \n",
       "498  0.2677 -0.2498  ... -0.2426 -0.1008  1.0008 -0.1901  1.0385   0.7410   \n",
       "499 -0.2026 -0.2498  ... -0.2071 -0.1662 -0.0724  0.1426  0.1244   1.4494   \n",
       "\n",
       "         496      497      498      499  \n",
       "0    -0.2140   0.7667  -0.1010  -0.1639  \n",
       "1     0.8259  -0.2459  -0.1321  -0.1088  \n",
       "2    -0.1093  -0.2146  -0.1013  -0.2318  \n",
       "3     0.0089  -0.1583  -0.1868   0.1495  \n",
       "4    -0.0030   1.4325  -0.2324   0.3370  \n",
       "..       ...      ...      ...      ...  \n",
       "495   1.4039  -0.1503   0.7410   1.4494  \n",
       "496  11.5379   5.5998   0.0898  -0.2262  \n",
       "497   5.5998  17.0581   1.8262   0.5537  \n",
       "498   0.0898   1.8262  14.9539   8.5256  \n",
       "499  -0.2262   0.5537   8.5256  32.1319  \n",
       "\n",
       "[500 rows x 500 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('poly', df_scl, df_scl)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "a0551516",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Polynomial')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "30906c5c",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>490</th>\n",
       "      <th>491</th>\n",
       "      <th>492</th>\n",
       "      <th>493</th>\n",
       "      <th>494</th>\n",
       "      <th>495</th>\n",
       "      <th>496</th>\n",
       "      <th>497</th>\n",
       "      <th>498</th>\n",
       "      <th>499</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.8095</td>\n",
       "      <td>-0.1003</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>-0.2832</td>\n",
       "      <td>0.6157</td>\n",
       "      <td>0.2730</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.1441</td>\n",
       "      <td>0.0406</td>\n",
       "      <td>0.1567</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0592</td>\n",
       "      <td>0.3671</td>\n",
       "      <td>-0.7229</td>\n",
       "      <td>0.4046</td>\n",
       "      <td>-0.3274</td>\n",
       "      <td>-0.7884</td>\n",
       "      <td>-0.3008</td>\n",
       "      <td>0.4686</td>\n",
       "      <td>-0.1135</td>\n",
       "      <td>-0.2036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.1003</td>\n",
       "      <td>0.9162</td>\n",
       "      <td>-0.1629</td>\n",
       "      <td>0.5121</td>\n",
       "      <td>0.2534</td>\n",
       "      <td>-0.0441</td>\n",
       "      <td>0.5372</td>\n",
       "      <td>0.4306</td>\n",
       "      <td>-0.2387</td>\n",
       "      <td>0.2547</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0908</td>\n",
       "      <td>0.1022</td>\n",
       "      <td>-0.2647</td>\n",
       "      <td>0.0154</td>\n",
       "      <td>0.0319</td>\n",
       "      <td>0.6718</td>\n",
       "      <td>0.4909</td>\n",
       "      <td>-0.5107</td>\n",
       "      <td>-0.6876</td>\n",
       "      <td>-0.1237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0067</td>\n",
       "      <td>-0.1629</td>\n",
       "      <td>0.9906</td>\n",
       "      <td>0.9455</td>\n",
       "      <td>-0.0314</td>\n",
       "      <td>0.4719</td>\n",
       "      <td>0.2962</td>\n",
       "      <td>0.7485</td>\n",
       "      <td>-0.5442</td>\n",
       "      <td>0.3738</td>\n",
       "      <td>...</td>\n",
       "      <td>0.5395</td>\n",
       "      <td>0.5286</td>\n",
       "      <td>0.7379</td>\n",
       "      <td>-0.5778</td>\n",
       "      <td>0.5203</td>\n",
       "      <td>-0.1720</td>\n",
       "      <td>-0.1242</td>\n",
       "      <td>-0.3022</td>\n",
       "      <td>-0.1139</td>\n",
       "      <td>-0.3498</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-0.2832</td>\n",
       "      <td>0.5121</td>\n",
       "      <td>0.9455</td>\n",
       "      <td>0.9927</td>\n",
       "      <td>-0.1212</td>\n",
       "      <td>0.1025</td>\n",
       "      <td>0.6273</td>\n",
       "      <td>0.6572</td>\n",
       "      <td>-0.5647</td>\n",
       "      <td>-0.0044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.4130</td>\n",
       "      <td>0.5103</td>\n",
       "      <td>0.6481</td>\n",
       "      <td>0.0810</td>\n",
       "      <td>0.2419</td>\n",
       "      <td>0.6316</td>\n",
       "      <td>0.0088</td>\n",
       "      <td>-0.6656</td>\n",
       "      <td>-0.6360</td>\n",
       "      <td>0.1313</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.6157</td>\n",
       "      <td>0.2534</td>\n",
       "      <td>-0.0314</td>\n",
       "      <td>-0.1212</td>\n",
       "      <td>0.9994</td>\n",
       "      <td>0.9981</td>\n",
       "      <td>-0.1684</td>\n",
       "      <td>-0.4354</td>\n",
       "      <td>0.4860</td>\n",
       "      <td>0.3822</td>\n",
       "      <td>...</td>\n",
       "      <td>0.2588</td>\n",
       "      <td>0.5994</td>\n",
       "      <td>-0.6291</td>\n",
       "      <td>0.0623</td>\n",
       "      <td>0.1250</td>\n",
       "      <td>-0.2737</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>0.6624</td>\n",
       "      <td>-0.3516</td>\n",
       "      <td>0.2601</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>-0.7884</td>\n",
       "      <td>0.6718</td>\n",
       "      <td>-0.1720</td>\n",
       "      <td>0.6316</td>\n",
       "      <td>-0.2737</td>\n",
       "      <td>-0.4381</td>\n",
       "      <td>0.1347</td>\n",
       "      <td>-0.0149</td>\n",
       "      <td>0.3377</td>\n",
       "      <td>0.6666</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.0763</td>\n",
       "      <td>-0.3978</td>\n",
       "      <td>0.3330</td>\n",
       "      <td>-0.5862</td>\n",
       "      <td>0.9472</td>\n",
       "      <td>0.9994</td>\n",
       "      <td>0.6562</td>\n",
       "      <td>-0.6728</td>\n",
       "      <td>0.4586</td>\n",
       "      <td>0.6660</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>-0.3008</td>\n",
       "      <td>0.4909</td>\n",
       "      <td>-0.1242</td>\n",
       "      <td>0.0088</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>-0.1619</td>\n",
       "      <td>-0.1132</td>\n",
       "      <td>0.0502</td>\n",
       "      <td>-0.6716</td>\n",
       "      <td>-0.5198</td>\n",
       "      <td>...</td>\n",
       "      <td>0.2413</td>\n",
       "      <td>0.2028</td>\n",
       "      <td>0.3279</td>\n",
       "      <td>-0.1029</td>\n",
       "      <td>-0.0650</td>\n",
       "      <td>0.6562</td>\n",
       "      <td>0.9944</td>\n",
       "      <td>0.9578</td>\n",
       "      <td>0.0827</td>\n",
       "      <td>-0.3326</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.4686</td>\n",
       "      <td>-0.5107</td>\n",
       "      <td>-0.3022</td>\n",
       "      <td>-0.6656</td>\n",
       "      <td>0.6624</td>\n",
       "      <td>0.2649</td>\n",
       "      <td>-0.5480</td>\n",
       "      <td>-0.5943</td>\n",
       "      <td>-0.3974</td>\n",
       "      <td>-0.8382</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2561</td>\n",
       "      <td>0.4618</td>\n",
       "      <td>0.5857</td>\n",
       "      <td>0.8108</td>\n",
       "      <td>-0.5402</td>\n",
       "      <td>-0.6728</td>\n",
       "      <td>0.9578</td>\n",
       "      <td>0.9987</td>\n",
       "      <td>0.7356</td>\n",
       "      <td>0.3770</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.1135</td>\n",
       "      <td>-0.6876</td>\n",
       "      <td>-0.1139</td>\n",
       "      <td>-0.6360</td>\n",
       "      <td>-0.3516</td>\n",
       "      <td>-0.1286</td>\n",
       "      <td>-0.4123</td>\n",
       "      <td>-0.4597</td>\n",
       "      <td>0.2160</td>\n",
       "      <td>-0.4500</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.3918</td>\n",
       "      <td>-0.7095</td>\n",
       "      <td>0.5500</td>\n",
       "      <td>-0.2498</td>\n",
       "      <td>0.5616</td>\n",
       "      <td>0.4586</td>\n",
       "      <td>0.0827</td>\n",
       "      <td>0.7356</td>\n",
       "      <td>0.9978</td>\n",
       "      <td>0.9856</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>-0.2036</td>\n",
       "      <td>-0.1237</td>\n",
       "      <td>-0.3498</td>\n",
       "      <td>0.1313</td>\n",
       "      <td>0.2601</td>\n",
       "      <td>-0.1024</td>\n",
       "      <td>-0.5372</td>\n",
       "      <td>-0.6928</td>\n",
       "      <td>-0.2749</td>\n",
       "      <td>-0.4724</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2847</td>\n",
       "      <td>-0.2074</td>\n",
       "      <td>-0.0784</td>\n",
       "      <td>0.1259</td>\n",
       "      <td>0.1114</td>\n",
       "      <td>0.6660</td>\n",
       "      <td>-0.3326</td>\n",
       "      <td>0.3770</td>\n",
       "      <td>0.9856</td>\n",
       "      <td>0.9999</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 500 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    0.8095 -0.1003  0.0067 -0.2832  0.6157  0.2730  0.0006  0.1441  0.0406   \n",
       "1   -0.1003  0.9162 -0.1629  0.5121  0.2534 -0.0441  0.5372  0.4306 -0.2387   \n",
       "2    0.0067 -0.1629  0.9906  0.9455 -0.0314  0.4719  0.2962  0.7485 -0.5442   \n",
       "3   -0.2832  0.5121  0.9455  0.9927 -0.1212  0.1025  0.6273  0.6572 -0.5647   \n",
       "4    0.6157  0.2534 -0.0314 -0.1212  0.9994  0.9981 -0.1684 -0.4354  0.4860   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495 -0.7884  0.6718 -0.1720  0.6316 -0.2737 -0.4381  0.1347 -0.0149  0.3377   \n",
       "496 -0.3008  0.4909 -0.1242  0.0088 -0.0030 -0.1619 -0.1132  0.0502 -0.6716   \n",
       "497  0.4686 -0.5107 -0.3022 -0.6656  0.6624  0.2649 -0.5480 -0.5943 -0.3974   \n",
       "498 -0.1135 -0.6876 -0.1139 -0.6360 -0.3516 -0.1286 -0.4123 -0.4597  0.2160   \n",
       "499 -0.2036 -0.1237 -0.3498  0.1313  0.2601 -0.1024 -0.5372 -0.6928 -0.2749   \n",
       "\n",
       "        9    ...     490     491     492     493     494     495     496  \\\n",
       "0    0.1567  ...  0.0592  0.3671 -0.7229  0.4046 -0.3274 -0.7884 -0.3008   \n",
       "1    0.2547  ...  0.0908  0.1022 -0.2647  0.0154  0.0319  0.6718  0.4909   \n",
       "2    0.3738  ...  0.5395  0.5286  0.7379 -0.5778  0.5203 -0.1720 -0.1242   \n",
       "3   -0.0044  ...  0.4130  0.5103  0.6481  0.0810  0.2419  0.6316  0.0088   \n",
       "4    0.3822  ...  0.2588  0.5994 -0.6291  0.0623  0.1250 -0.2737 -0.0030   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.6666  ... -0.0763 -0.3978  0.3330 -0.5862  0.9472  0.9994  0.6562   \n",
       "496 -0.5198  ...  0.2413  0.2028  0.3279 -0.1029 -0.0650  0.6562  0.9944   \n",
       "497 -0.8382  ... -0.2561  0.4618  0.5857  0.8108 -0.5402 -0.6728  0.9578   \n",
       "498 -0.4500  ... -0.3918 -0.7095  0.5500 -0.2498  0.5616  0.4586  0.0827   \n",
       "499 -0.4724  ... -0.2847 -0.2074 -0.0784  0.1259  0.1114  0.6660 -0.3326   \n",
       "\n",
       "        497     498     499  \n",
       "0    0.4686 -0.1135 -0.2036  \n",
       "1   -0.5107 -0.6876 -0.1237  \n",
       "2   -0.3022 -0.1139 -0.3498  \n",
       "3   -0.6656 -0.6360  0.1313  \n",
       "4    0.6624 -0.3516  0.2601  \n",
       "..      ...     ...     ...  \n",
       "495 -0.6728  0.4586  0.6660  \n",
       "496  0.9578  0.0827 -0.3326  \n",
       "497  0.9987  0.7356  0.3770  \n",
       "498  0.7356  0.9978  0.9856  \n",
       "499  0.3770  0.9856  0.9999  \n",
       "\n",
       "[500 rows x 500 columns]"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('sig', df_scl, df_scl)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ec96f60b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Sigmoid')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "103758eb",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>490</th>\n",
       "      <th>491</th>\n",
       "      <th>492</th>\n",
       "      <th>493</th>\n",
       "      <th>494</th>\n",
       "      <th>495</th>\n",
       "      <th>496</th>\n",
       "      <th>497</th>\n",
       "      <th>498</th>\n",
       "      <th>499</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.1239</td>\n",
       "      <td>0.0427</td>\n",
       "      <td>0.0326</td>\n",
       "      <td>0.0542</td>\n",
       "      <td>0.0142</td>\n",
       "      <td>0.0362</td>\n",
       "      <td>0.0303</td>\n",
       "      <td>0.0142</td>\n",
       "      <td>0.0112</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0199</td>\n",
       "      <td>0.0202</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0093</td>\n",
       "      <td>0.0118</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0196</td>\n",
       "      <td>0.0268</td>\n",
       "      <td>0.0213</td>\n",
       "      <td>0.0123</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.1239</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0411</td>\n",
       "      <td>0.0541</td>\n",
       "      <td>0.0219</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>0.0510</td>\n",
       "      <td>0.0387</td>\n",
       "      <td>0.0114</td>\n",
       "      <td>0.0097</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0164</td>\n",
       "      <td>0.0130</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0048</td>\n",
       "      <td>0.0126</td>\n",
       "      <td>0.0231</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0099</td>\n",
       "      <td>0.0139</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0427</td>\n",
       "      <td>0.0411</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.1835</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.0068</td>\n",
       "      <td>0.0228</td>\n",
       "      <td>0.0347</td>\n",
       "      <td>0.0046</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0192</td>\n",
       "      <td>0.0116</td>\n",
       "      <td>0.0063</td>\n",
       "      <td>0.0025</td>\n",
       "      <td>0.0117</td>\n",
       "      <td>0.0083</td>\n",
       "      <td>0.0111</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0098</td>\n",
       "      <td>0.0047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0326</td>\n",
       "      <td>0.0541</td>\n",
       "      <td>0.1835</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0123</td>\n",
       "      <td>0.0077</td>\n",
       "      <td>0.0310</td>\n",
       "      <td>0.0277</td>\n",
       "      <td>0.0042</td>\n",
       "      <td>0.0069</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0178</td>\n",
       "      <td>0.0121</td>\n",
       "      <td>0.0051</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0088</td>\n",
       "      <td>0.0136</td>\n",
       "      <td>0.0152</td>\n",
       "      <td>0.0055</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0074</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0542</td>\n",
       "      <td>0.0219</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.0123</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0931</td>\n",
       "      <td>0.0087</td>\n",
       "      <td>0.0057</td>\n",
       "      <td>0.0093</td>\n",
       "      <td>0.0084</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0074</td>\n",
       "      <td>0.0082</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0066</td>\n",
       "      <td>0.0035</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0122</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.0048</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0231</td>\n",
       "      <td>0.0083</td>\n",
       "      <td>0.0136</td>\n",
       "      <td>0.0035</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0101</td>\n",
       "      <td>0.0082</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0035</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0017</td>\n",
       "      <td>0.0457</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0188</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.0121</td>\n",
       "      <td>0.0100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.0196</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.0111</td>\n",
       "      <td>0.0152</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0039</td>\n",
       "      <td>0.0131</td>\n",
       "      <td>0.0136</td>\n",
       "      <td>0.0041</td>\n",
       "      <td>0.0034</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0074</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.0078</td>\n",
       "      <td>0.0188</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.1014</td>\n",
       "      <td>0.0147</td>\n",
       "      <td>0.0087</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.0268</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0055</td>\n",
       "      <td>0.0122</td>\n",
       "      <td>0.0044</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0017</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0055</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0069</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.1014</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0078</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.0213</td>\n",
       "      <td>0.0099</td>\n",
       "      <td>0.0098</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0074</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0046</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0043</td>\n",
       "      <td>0.0031</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0026</td>\n",
       "      <td>0.0120</td>\n",
       "      <td>0.0121</td>\n",
       "      <td>0.0147</td>\n",
       "      <td>0.0249</td>\n",
       "      <td>1.0000</td>\n",
       "      <td>0.0906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.0123</td>\n",
       "      <td>0.0139</td>\n",
       "      <td>0.0047</td>\n",
       "      <td>0.0074</td>\n",
       "      <td>0.0048</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0057</td>\n",
       "      <td>0.0047</td>\n",
       "      <td>0.0038</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0030</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0058</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.0087</td>\n",
       "      <td>0.0078</td>\n",
       "      <td>0.0906</td>\n",
       "      <td>1.0000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 500 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    1.0000  0.1239  0.0427  0.0326  0.0542  0.0142  0.0362  0.0303  0.0142   \n",
       "1    0.1239  1.0000  0.0411  0.0541  0.0219  0.0089  0.0510  0.0387  0.0114   \n",
       "2    0.0427  0.0411  1.0000  0.1835  0.0110  0.0068  0.0228  0.0347  0.0046   \n",
       "3    0.0326  0.0541  0.1835  1.0000  0.0123  0.0077  0.0310  0.0277  0.0042   \n",
       "4    0.0542  0.0219  0.0110  0.0123  1.0000  0.0931  0.0087  0.0057  0.0093   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0075  0.0231  0.0083  0.0136  0.0035  0.0020  0.0101  0.0082  0.0081   \n",
       "496  0.0196  0.0336  0.0111  0.0152  0.0081  0.0039  0.0131  0.0136  0.0041   \n",
       "497  0.0268  0.0092  0.0081  0.0055  0.0122  0.0044  0.0067  0.0060  0.0037   \n",
       "498  0.0213  0.0099  0.0098  0.0067  0.0054  0.0045  0.0075  0.0074  0.0075   \n",
       "499  0.0123  0.0139  0.0047  0.0074  0.0048  0.0029  0.0057  0.0047  0.0038   \n",
       "\n",
       "        9    ...     490     491     492     493     494     495     496  \\\n",
       "0    0.0112  ...  0.0199  0.0202  0.0059  0.0093  0.0118  0.0075  0.0196   \n",
       "1    0.0097  ...  0.0164  0.0130  0.0059  0.0048  0.0126  0.0231  0.0336   \n",
       "2    0.0089  ...  0.0192  0.0116  0.0063  0.0025  0.0117  0.0083  0.0111   \n",
       "3    0.0069  ...  0.0178  0.0121  0.0051  0.0022  0.0088  0.0136  0.0152   \n",
       "4    0.0084  ...  0.0074  0.0082  0.0037  0.0045  0.0066  0.0035  0.0081   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0067  ...  0.0059  0.0035  0.0045  0.0017  0.0457  1.0000  0.0188   \n",
       "496  0.0034  ...  0.0092  0.0074  0.0056  0.0040  0.0078  0.0188  1.0000   \n",
       "497  0.0017  ...  0.0055  0.0067  0.0069  0.0075  0.0059  0.0054  0.1014   \n",
       "498  0.0046  ...  0.0043  0.0031  0.0056  0.0026  0.0120  0.0121  0.0147   \n",
       "499  0.0020  ...  0.0030  0.0024  0.0029  0.0018  0.0058  0.0100  0.0087   \n",
       "\n",
       "        497     498     499  \n",
       "0    0.0268  0.0213  0.0123  \n",
       "1    0.0092  0.0099  0.0139  \n",
       "2    0.0081  0.0098  0.0047  \n",
       "3    0.0055  0.0067  0.0074  \n",
       "4    0.0122  0.0054  0.0048  \n",
       "..      ...     ...     ...  \n",
       "495  0.0054  0.0121  0.0100  \n",
       "496  0.1014  0.0147  0.0087  \n",
       "497  1.0000  0.0249  0.0078  \n",
       "498  0.0249  1.0000  0.0906  \n",
       "499  0.0078  0.0906  1.0000  \n",
       "\n",
       "[500 rows x 500 columns]"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('lap', df_scl, df_scl)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "247c4998",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Laplacian')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13fd0a5d",
   "metadata": {},
   "source": [
    "## Data mix with test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d59522a9",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>950</th>\n",
       "      <th>951</th>\n",
       "      <th>952</th>\n",
       "      <th>953</th>\n",
       "      <th>954</th>\n",
       "      <th>955</th>\n",
       "      <th>956</th>\n",
       "      <th>957</th>\n",
       "      <th>958</th>\n",
       "      <th>959</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0216</td>\n",
       "      <td>0.0114</td>\n",
       "      <td>0.0262</td>\n",
       "      <td>0.0263</td>\n",
       "      <td>0.0194</td>\n",
       "      <td>0.0108</td>\n",
       "      <td>0.0103</td>\n",
       "      <td>0.0116</td>\n",
       "      <td>0.0193</td>\n",
       "      <td>0.0345</td>\n",
       "      <td>...</td>\n",
       "      <td>0.1099</td>\n",
       "      <td>0.1092</td>\n",
       "      <td>0.0156</td>\n",
       "      <td>0.0382</td>\n",
       "      <td>0.0355</td>\n",
       "      <td>0.0701</td>\n",
       "      <td>0.0382</td>\n",
       "      <td>0.0210</td>\n",
       "      <td>0.0357</td>\n",
       "      <td>0.0412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0202</td>\n",
       "      <td>0.0579</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.0109</td>\n",
       "      <td>0.0237</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.0145</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.0411</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0196</td>\n",
       "      <td>0.0179</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0151</td>\n",
       "      <td>0.0306</td>\n",
       "      <td>0.0247</td>\n",
       "      <td>0.0151</td>\n",
       "      <td>0.0336</td>\n",
       "      <td>0.0198</td>\n",
       "      <td>0.0187</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0199</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0146</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0119</td>\n",
       "      <td>0.0401</td>\n",
       "      <td>0.0139</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0046</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0013</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0107</td>\n",
       "      <td>0.0353</td>\n",
       "      <td>0.0198</td>\n",
       "      <td>0.0234</td>\n",
       "      <td>0.0413</td>\n",
       "      <td>0.0440</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0104</td>\n",
       "      <td>0.0098</td>\n",
       "      <td>0.0067</td>\n",
       "      <td>0.0109</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0031</td>\n",
       "      <td>0.0096</td>\n",
       "      <td>0.0064</td>\n",
       "      <td>0.0071</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0032</td>\n",
       "      <td>0.0034</td>\n",
       "      <td>0.0033</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.0126</td>\n",
       "      <td>0.0154</td>\n",
       "      <td>0.0225</td>\n",
       "      <td>0.0126</td>\n",
       "      <td>0.0185</td>\n",
       "      <td>0.0483</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0046</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0029</td>\n",
       "      <td>0.0032</td>\n",
       "      <td>0.0071</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0036</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.0018</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0034</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0034</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.0077</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.0012</td>\n",
       "      <td>0.0027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.0055</td>\n",
       "      <td>0.0091</td>\n",
       "      <td>0.0051</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0038</td>\n",
       "      <td>0.0090</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0023</td>\n",
       "      <td>0.0028</td>\n",
       "      <td>0.0043</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.0026</td>\n",
       "      <td>0.0011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.0039</td>\n",
       "      <td>0.0016</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.0050</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0052</td>\n",
       "      <td>0.0052</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>0.0044</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0035</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0026</td>\n",
       "      <td>0.0006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.0010</td>\n",
       "      <td>0.0019</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0022</td>\n",
       "      <td>0.0018</td>\n",
       "      <td>0.0014</td>\n",
       "      <td>0.0015</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0024</td>\n",
       "      <td>0.0021</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0011</td>\n",
       "      <td>0.0017</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0114</td>\n",
       "      <td>0.0028</td>\n",
       "      <td>0.0065</td>\n",
       "      <td>0.0049</td>\n",
       "      <td>0.0011</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0005</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0003</td>\n",
       "      <td>0.0002</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0010</td>\n",
       "      <td>0.0001</td>\n",
       "      <td>0.0000</td>\n",
       "      <td>0.0004</td>\n",
       "      <td>0.0009</td>\n",
       "      <td>0.0008</td>\n",
       "      <td>0.0020</td>\n",
       "      <td>0.0007</td>\n",
       "      <td>0.0004</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 960 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    0.0216  0.0114  0.0262  0.0263  0.0194  0.0108  0.0103  0.0116  0.0193   \n",
       "1    0.0202  0.0579  0.0110  0.0109  0.0237  0.0016  0.0024  0.0145  0.0060   \n",
       "2    0.0037  0.0015  0.0199  0.0050  0.0056  0.0146  0.0045  0.0119  0.0401   \n",
       "3    0.0104  0.0098  0.0067  0.0109  0.0023  0.0021  0.0031  0.0096  0.0064   \n",
       "4    0.0005  0.0002  0.0003  0.0003  0.0003  0.0002  0.0004  0.0004  0.0003   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0014  0.0034  0.0001  0.0004  0.0011  0.0001  0.0002  0.0008  0.0001   \n",
       "496  0.0055  0.0091  0.0051  0.0037  0.0056  0.0008  0.0038  0.0090  0.0019   \n",
       "497  0.0039  0.0016  0.0050  0.0050  0.0008  0.0009  0.0052  0.0052  0.0021   \n",
       "498  0.0010  0.0019  0.0018  0.0022  0.0018  0.0014  0.0015  0.0008  0.0024   \n",
       "499  0.0008  0.0007  0.0001  0.0005  0.0001  0.0001  0.0003  0.0002  0.0001   \n",
       "\n",
       "        9    ...     950     951     952     953     954     955     956  \\\n",
       "0    0.0345  ...  0.1099  0.1092  0.0156  0.0382  0.0355  0.0701  0.0382   \n",
       "1    0.0411  ...  0.0196  0.0179  0.0045  0.0151  0.0306  0.0247  0.0151   \n",
       "2    0.0139  ...  0.0046  0.0020  0.0013  0.0015  0.0107  0.0353  0.0198   \n",
       "3    0.0071  ...  0.0032  0.0034  0.0033  0.0006  0.0126  0.0154  0.0225   \n",
       "4    0.0008  ...  0.0046  0.0092  0.0008  0.0029  0.0032  0.0071  0.0015   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0006  ...  0.0002  0.0002  0.0008  0.0001  0.0034  0.0070  0.0077   \n",
       "496  0.0100  ...  0.0022  0.0015  0.0007  0.0023  0.0028  0.0043  0.0020   \n",
       "497  0.0044  ...  0.0020  0.0035  0.0007  0.0020  0.0008  0.0037  0.0006   \n",
       "498  0.0021  ...  0.0011  0.0017  0.0009  0.0006  0.0007  0.0114  0.0028   \n",
       "499  0.0001  ...  0.0001  0.0010  0.0001  0.0000  0.0004  0.0009  0.0008   \n",
       "\n",
       "        957     958     959  \n",
       "0    0.0210  0.0357  0.0412  \n",
       "1    0.0336  0.0198  0.0187  \n",
       "2    0.0234  0.0413  0.0440  \n",
       "3    0.0126  0.0185  0.0483  \n",
       "4    0.0036  0.0060  0.0018  \n",
       "..      ...     ...     ...  \n",
       "495  0.0060  0.0012  0.0027  \n",
       "496  0.0024  0.0026  0.0011  \n",
       "497  0.0011  0.0026  0.0006  \n",
       "498  0.0065  0.0049  0.0011  \n",
       "499  0.0020  0.0007  0.0004  \n",
       "\n",
       "[500 rows x 960 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('gauss', df_scl, dtst)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "10e58ea3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Gaussian')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "525167a1",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>950</th>\n",
       "      <th>951</th>\n",
       "      <th>952</th>\n",
       "      <th>953</th>\n",
       "      <th>954</th>\n",
       "      <th>955</th>\n",
       "      <th>956</th>\n",
       "      <th>957</th>\n",
       "      <th>958</th>\n",
       "      <th>959</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.4530</td>\n",
       "      <td>-0.8094</td>\n",
       "      <td>4.8952</td>\n",
       "      <td>3.5139</td>\n",
       "      <td>2.2301</td>\n",
       "      <td>4.5994</td>\n",
       "      <td>2.9725</td>\n",
       "      <td>2.2023</td>\n",
       "      <td>3.4688</td>\n",
       "      <td>3.0031</td>\n",
       "      <td>...</td>\n",
       "      <td>8.2090</td>\n",
       "      <td>7.6676</td>\n",
       "      <td>-0.2244</td>\n",
       "      <td>6.3637</td>\n",
       "      <td>0.3041</td>\n",
       "      <td>1.0534</td>\n",
       "      <td>-0.2895</td>\n",
       "      <td>-1.7307</td>\n",
       "      <td>1.1564</td>\n",
       "      <td>2.6819</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.3054</td>\n",
       "      <td>9.5179</td>\n",
       "      <td>2.7730</td>\n",
       "      <td>1.3220</td>\n",
       "      <td>5.4197</td>\n",
       "      <td>-2.7777</td>\n",
       "      <td>-2.0418</td>\n",
       "      <td>5.5198</td>\n",
       "      <td>-0.1932</td>\n",
       "      <td>6.0750</td>\n",
       "      <td>...</td>\n",
       "      <td>1.7993</td>\n",
       "      <td>0.8164</td>\n",
       "      <td>-4.2922</td>\n",
       "      <td>3.9072</td>\n",
       "      <td>1.7579</td>\n",
       "      <td>-1.9615</td>\n",
       "      <td>-2.7420</td>\n",
       "      <td>2.8189</td>\n",
       "      <td>0.4062</td>\n",
       "      <td>0.9365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.3759</td>\n",
       "      <td>-3.1323</td>\n",
       "      <td>11.2608</td>\n",
       "      <td>2.9945</td>\n",
       "      <td>3.7703</td>\n",
       "      <td>13.8539</td>\n",
       "      <td>6.5607</td>\n",
       "      <td>10.0504</td>\n",
       "      <td>14.8881</td>\n",
       "      <td>6.1926</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0746</td>\n",
       "      <td>-4.5004</td>\n",
       "      <td>-5.0434</td>\n",
       "      <td>-2.1505</td>\n",
       "      <td>2.0411</td>\n",
       "      <td>5.3656</td>\n",
       "      <td>4.1787</td>\n",
       "      <td>6.5509</td>\n",
       "      <td>9.6408</td>\n",
       "      <td>10.7596</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>7.2145</td>\n",
       "      <td>6.8556</td>\n",
       "      <td>6.5052</td>\n",
       "      <td>7.5377</td>\n",
       "      <td>-0.0298</td>\n",
       "      <td>4.8272</td>\n",
       "      <td>5.4007</td>\n",
       "      <td>9.6337</td>\n",
       "      <td>6.3741</td>\n",
       "      <td>3.5176</td>\n",
       "      <td>...</td>\n",
       "      <td>-1.0661</td>\n",
       "      <td>-1.2101</td>\n",
       "      <td>0.3524</td>\n",
       "      <td>-5.7518</td>\n",
       "      <td>3.5421</td>\n",
       "      <td>1.8945</td>\n",
       "      <td>5.4836</td>\n",
       "      <td>4.1347</td>\n",
       "      <td>6.2806</td>\n",
       "      <td>11.8815</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.4292</td>\n",
       "      <td>-5.5912</td>\n",
       "      <td>-3.0609</td>\n",
       "      <td>-5.0917</td>\n",
       "      <td>-4.6229</td>\n",
       "      <td>-0.2740</td>\n",
       "      <td>0.8672</td>\n",
       "      <td>0.3826</td>\n",
       "      <td>-2.1447</td>\n",
       "      <td>-1.4400</td>\n",
       "      <td>...</td>\n",
       "      <td>6.9769</td>\n",
       "      <td>9.9183</td>\n",
       "      <td>-0.4050</td>\n",
       "      <td>8.0485</td>\n",
       "      <td>2.9132</td>\n",
       "      <td>4.2108</td>\n",
       "      <td>-1.8574</td>\n",
       "      <td>4.1093</td>\n",
       "      <td>6.8070</td>\n",
       "      <td>1.6224</td>\n",
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       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>3.3782</td>\n",
       "      <td>7.7826</td>\n",
       "      <td>-7.1014</td>\n",
       "      <td>-3.1160</td>\n",
       "      <td>2.6894</td>\n",
       "      <td>-5.7318</td>\n",
       "      <td>-2.5266</td>\n",
       "      <td>3.3153</td>\n",
       "      <td>-6.8172</td>\n",
       "      <td>-2.3459</td>\n",
       "      <td>...</td>\n",
       "      <td>-8.2819</td>\n",
       "      <td>-9.9836</td>\n",
       "      <td>-0.6276</td>\n",
       "      <td>-10.2839</td>\n",
       "      <td>3.1890</td>\n",
       "      <td>4.1036</td>\n",
       "      <td>6.2771</td>\n",
       "      <td>6.6278</td>\n",
       "      <td>-1.1906</td>\n",
       "      <td>3.6176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>4.6646</td>\n",
       "      <td>7.0897</td>\n",
       "      <td>5.7336</td>\n",
       "      <td>2.7866</td>\n",
       "      <td>5.0467</td>\n",
       "      <td>0.8658</td>\n",
       "      <td>6.9568</td>\n",
       "      <td>9.9883</td>\n",
       "      <td>0.8910</td>\n",
       "      <td>5.8310</td>\n",
       "      <td>...</td>\n",
       "      <td>-2.4038</td>\n",
       "      <td>-4.8150</td>\n",
       "      <td>-6.3971</td>\n",
       "      <td>1.2951</td>\n",
       "      <td>-3.3632</td>\n",
       "      <td>-3.9061</td>\n",
       "      <td>-5.8883</td>\n",
       "      <td>-3.5643</td>\n",
       "      <td>-2.9053</td>\n",
       "      <td>-6.5412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>6.5535</td>\n",
       "      <td>1.9148</td>\n",
       "      <td>9.2605</td>\n",
       "      <td>7.9140</td>\n",
       "      <td>-0.7757</td>\n",
       "      <td>5.0289</td>\n",
       "      <td>12.2285</td>\n",
       "      <td>10.8416</td>\n",
       "      <td>5.0812</td>\n",
       "      <td>5.3248</td>\n",
       "      <td>...</td>\n",
       "      <td>0.9209</td>\n",
       "      <td>3.1501</td>\n",
       "      <td>-3.4431</td>\n",
       "      <td>4.2063</td>\n",
       "      <td>-5.9959</td>\n",
       "      <td>-1.0129</td>\n",
       "      <td>-8.4329</td>\n",
       "      <td>-3.8402</td>\n",
       "      <td>0.6462</td>\n",
       "      <td>-5.9733</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-1.6587</td>\n",
       "      <td>1.5971</td>\n",
       "      <td>2.9299</td>\n",
       "      <td>2.5580</td>\n",
       "      <td>1.8140</td>\n",
       "      <td>5.6885</td>\n",
       "      <td>4.7822</td>\n",
       "      <td>0.4368</td>\n",
       "      <td>4.3719</td>\n",
       "      <td>0.4034</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.5835</td>\n",
       "      <td>-1.8750</td>\n",
       "      <td>-2.9864</td>\n",
       "      <td>-2.9390</td>\n",
       "      <td>-7.8371</td>\n",
       "      <td>3.3209</td>\n",
       "      <td>-1.9454</td>\n",
       "      <td>3.7643</td>\n",
       "      <td>2.6135</td>\n",
       "      <td>-3.8685</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>6.0177</td>\n",
       "      <td>5.4541</td>\n",
       "      <td>-1.9654</td>\n",
       "      <td>3.7401</td>\n",
       "      <td>-3.7787</td>\n",
       "      <td>1.5596</td>\n",
       "      <td>5.1502</td>\n",
       "      <td>1.0572</td>\n",
       "      <td>-3.7161</td>\n",
       "      <td>-7.0403</td>\n",
       "      <td>...</td>\n",
       "      <td>-4.9866</td>\n",
       "      <td>4.7361</td>\n",
       "      <td>-5.0817</td>\n",
       "      <td>-11.1447</td>\n",
       "      <td>-1.7572</td>\n",
       "      <td>-0.5290</td>\n",
       "      <td>0.9830</td>\n",
       "      <td>6.9524</td>\n",
       "      <td>1.8019</td>\n",
       "      <td>0.3668</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 960 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1        2       3       4        5        6        7    \\\n",
       "0    2.4530 -0.8094   4.8952  3.5139  2.2301   4.5994   2.9725   2.2023   \n",
       "1    4.3054  9.5179   2.7730  1.3220  5.4197  -2.7777  -2.0418   5.5198   \n",
       "2    1.3759 -3.1323  11.2608  2.9945  3.7703  13.8539   6.5607  10.0504   \n",
       "3    7.2145  6.8556   6.5052  7.5377 -0.0298   4.8272   5.4007   9.6337   \n",
       "4   -1.4292 -5.5912  -3.0609 -5.0917 -4.6229  -0.2740   0.8672   0.3826   \n",
       "..      ...     ...      ...     ...     ...      ...      ...      ...   \n",
       "495  3.3782  7.7826  -7.1014 -3.1160  2.6894  -5.7318  -2.5266   3.3153   \n",
       "496  4.6646  7.0897   5.7336  2.7866  5.0467   0.8658   6.9568   9.9883   \n",
       "497  6.5535  1.9148   9.2605  7.9140 -0.7757   5.0289  12.2285  10.8416   \n",
       "498 -1.6587  1.5971   2.9299  2.5580  1.8140   5.6885   4.7822   0.4368   \n",
       "499  6.0177  5.4541  -1.9654  3.7401 -3.7787   1.5596   5.1502   1.0572   \n",
       "\n",
       "         8       9    ...     950     951     952      953     954     955  \\\n",
       "0     3.4688  3.0031  ...  8.2090  7.6676 -0.2244   6.3637  0.3041  1.0534   \n",
       "1    -0.1932  6.0750  ...  1.7993  0.8164 -4.2922   3.9072  1.7579 -1.9615   \n",
       "2    14.8881  6.1926  ...  0.0746 -4.5004 -5.0434  -2.1505  2.0411  5.3656   \n",
       "3     6.3741  3.5176  ... -1.0661 -1.2101  0.3524  -5.7518  3.5421  1.8945   \n",
       "4    -2.1447 -1.4400  ...  6.9769  9.9183 -0.4050   8.0485  2.9132  4.2108   \n",
       "..       ...     ...  ...     ...     ...     ...      ...     ...     ...   \n",
       "495  -6.8172 -2.3459  ... -8.2819 -9.9836 -0.6276 -10.2839  3.1890  4.1036   \n",
       "496   0.8910  5.8310  ... -2.4038 -4.8150 -6.3971   1.2951 -3.3632 -3.9061   \n",
       "497   5.0812  5.3248  ...  0.9209  3.1501 -3.4431   4.2063 -5.9959 -1.0129   \n",
       "498   4.3719  0.4034  ... -3.5835 -1.8750 -2.9864  -2.9390 -7.8371  3.3209   \n",
       "499  -3.7161 -7.0403  ... -4.9866  4.7361 -5.0817 -11.1447 -1.7572 -0.5290   \n",
       "\n",
       "        956     957     958      959  \n",
       "0   -0.2895 -1.7307  1.1564   2.6819  \n",
       "1   -2.7420  2.8189  0.4062   0.9365  \n",
       "2    4.1787  6.5509  9.6408  10.7596  \n",
       "3    5.4836  4.1347  6.2806  11.8815  \n",
       "4   -1.8574  4.1093  6.8070   1.6224  \n",
       "..      ...     ...     ...      ...  \n",
       "495  6.2771  6.6278 -1.1906   3.6176  \n",
       "496 -5.8883 -3.5643 -2.9053  -6.5412  \n",
       "497 -8.4329 -3.8402  0.6462  -5.9733  \n",
       "498 -1.9454  3.7643  2.6135  -3.8685  \n",
       "499  0.9830  6.9524  1.8019   0.3668  \n",
       "\n",
       "[500 rows x 960 columns]"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('lin', df_scl, dtst)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "fb0ca833",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Linear')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "96decdfc",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>950</th>\n",
       "      <th>951</th>\n",
       "      <th>952</th>\n",
       "      <th>953</th>\n",
       "      <th>954</th>\n",
       "      <th>955</th>\n",
       "      <th>956</th>\n",
       "      <th>957</th>\n",
       "      <th>958</th>\n",
       "      <th>959</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.3055</td>\n",
       "      <td>-0.0744</td>\n",
       "      <td>0.7291</td>\n",
       "      <td>0.4749</td>\n",
       "      <td>0.2727</td>\n",
       "      <td>0.6715</td>\n",
       "      <td>0.3856</td>\n",
       "      <td>0.2687</td>\n",
       "      <td>0.4672</td>\n",
       "      <td>0.3905</td>\n",
       "      <td>...</td>\n",
       "      <td>1.4948</td>\n",
       "      <td>1.3547</td>\n",
       "      <td>-0.0219</td>\n",
       "      <td>1.0413</td>\n",
       "      <td>0.0313</td>\n",
       "      <td>0.1164</td>\n",
       "      <td>-0.0281</td>\n",
       "      <td>-0.1431</td>\n",
       "      <td>0.1290</td>\n",
       "      <td>0.3401</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.6159</td>\n",
       "      <td>1.8577</td>\n",
       "      <td>0.3542</td>\n",
       "      <td>0.1497</td>\n",
       "      <td>0.8357</td>\n",
       "      <td>-0.2006</td>\n",
       "      <td>-0.1625</td>\n",
       "      <td>0.8567</td>\n",
       "      <td>-0.0189</td>\n",
       "      <td>0.9766</td>\n",
       "      <td>...</td>\n",
       "      <td>0.2123</td>\n",
       "      <td>0.0883</td>\n",
       "      <td>-0.2450</td>\n",
       "      <td>0.5434</td>\n",
       "      <td>0.2067</td>\n",
       "      <td>-0.1577</td>\n",
       "      <td>-0.1990</td>\n",
       "      <td>0.3614</td>\n",
       "      <td>0.0423</td>\n",
       "      <td>0.1024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.1565</td>\n",
       "      <td>-0.2151</td>\n",
       "      <td>2.3941</td>\n",
       "      <td>0.3891</td>\n",
       "      <td>0.5192</td>\n",
       "      <td>3.3047</td>\n",
       "      <td>1.0865</td>\n",
       "      <td>2.0151</td>\n",
       "      <td>3.7053</td>\n",
       "      <td>1.0027</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>-0.2475</td>\n",
       "      <td>-0.2500</td>\n",
       "      <td>-0.1688</td>\n",
       "      <td>0.2458</td>\n",
       "      <td>0.8245</td>\n",
       "      <td>0.5925</td>\n",
       "      <td>1.0842</td>\n",
       "      <td>1.8935</td>\n",
       "      <td>2.2336</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.2419</td>\n",
       "      <td>1.1555</td>\n",
       "      <td>1.0737</td>\n",
       "      <td>1.3219</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>0.7157</td>\n",
       "      <td>0.8317</td>\n",
       "      <td>1.8915</td>\n",
       "      <td>1.0437</td>\n",
       "      <td>0.4755</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.0952</td>\n",
       "      <td>-0.1064</td>\n",
       "      <td>0.0365</td>\n",
       "      <td>-0.2443</td>\n",
       "      <td>0.4797</td>\n",
       "      <td>0.2253</td>\n",
       "      <td>0.8490</td>\n",
       "      <td>0.5844</td>\n",
       "      <td>1.0225</td>\n",
       "      <td>2.5999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.1225</td>\n",
       "      <td>-0.2465</td>\n",
       "      <td>-0.2124</td>\n",
       "      <td>-0.2499</td>\n",
       "      <td>-0.2486</td>\n",
       "      <td>-0.0266</td>\n",
       "      <td>0.0942</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>-0.1685</td>\n",
       "      <td>-0.1233</td>\n",
       "      <td>...</td>\n",
       "      <td>1.1845</td>\n",
       "      <td>1.9756</td>\n",
       "      <td>-0.0389</td>\n",
       "      <td>1.4526</td>\n",
       "      <td>0.3762</td>\n",
       "      <td>0.5984</td>\n",
       "      <td>-0.1512</td>\n",
       "      <td>0.5798</td>\n",
       "      <td>1.1441</td>\n",
       "      <td>0.1886</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.4519</td>\n",
       "      <td>1.3839</td>\n",
       "      <td>-0.2058</td>\n",
       "      <td>-0.2145</td>\n",
       "      <td>0.3413</td>\n",
       "      <td>-0.2446</td>\n",
       "      <td>-0.1888</td>\n",
       "      <td>0.4414</td>\n",
       "      <td>-0.2170</td>\n",
       "      <td>-0.1796</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1423</td>\n",
       "      <td>-0.0016</td>\n",
       "      <td>-0.0588</td>\n",
       "      <td>0.0292</td>\n",
       "      <td>0.4206</td>\n",
       "      <td>0.5788</td>\n",
       "      <td>1.0217</td>\n",
       "      <td>1.1021</td>\n",
       "      <td>-0.1049</td>\n",
       "      <td>0.4926</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.6840</td>\n",
       "      <td>1.2116</td>\n",
       "      <td>0.9021</td>\n",
       "      <td>0.3563</td>\n",
       "      <td>0.7594</td>\n",
       "      <td>0.0941</td>\n",
       "      <td>1.1797</td>\n",
       "      <td>1.9965</td>\n",
       "      <td>0.0970</td>\n",
       "      <td>0.9231</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1826</td>\n",
       "      <td>-0.2497</td>\n",
       "      <td>-0.2305</td>\n",
       "      <td>0.1463</td>\n",
       "      <td>-0.2232</td>\n",
       "      <td>-0.2380</td>\n",
       "      <td>-0.2421</td>\n",
       "      <td>-0.2294</td>\n",
       "      <td>-0.2061</td>\n",
       "      <td>-0.2262</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>1.0848</td>\n",
       "      <td>0.2281</td>\n",
       "      <td>1.7836</td>\n",
       "      <td>1.4177</td>\n",
       "      <td>-0.0716</td>\n",
       "      <td>0.7558</td>\n",
       "      <td>2.7182</td>\n",
       "      <td>2.2595</td>\n",
       "      <td>0.7663</td>\n",
       "      <td>0.8160</td>\n",
       "      <td>...</td>\n",
       "      <td>0.1006</td>\n",
       "      <td>0.4142</td>\n",
       "      <td>-0.2258</td>\n",
       "      <td>0.5976</td>\n",
       "      <td>-0.2401</td>\n",
       "      <td>-0.0910</td>\n",
       "      <td>-0.1322</td>\n",
       "      <td>-0.2365</td>\n",
       "      <td>0.0688</td>\n",
       "      <td>-0.2405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.1384</td>\n",
       "      <td>0.1852</td>\n",
       "      <td>0.3788</td>\n",
       "      <td>0.3212</td>\n",
       "      <td>0.2143</td>\n",
       "      <td>0.8924</td>\n",
       "      <td>0.7069</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>0.6283</td>\n",
       "      <td>0.0420</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2299</td>\n",
       "      <td>-0.1523</td>\n",
       "      <td>-0.2095</td>\n",
       "      <td>-0.2075</td>\n",
       "      <td>-0.1695</td>\n",
       "      <td>0.4424</td>\n",
       "      <td>-0.1567</td>\n",
       "      <td>0.5181</td>\n",
       "      <td>0.3297</td>\n",
       "      <td>-0.2372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.9639</td>\n",
       "      <td>0.8429</td>\n",
       "      <td>-0.1579</td>\n",
       "      <td>0.5139</td>\n",
       "      <td>-0.2351</td>\n",
       "      <td>0.1803</td>\n",
       "      <td>0.7803</td>\n",
       "      <td>0.1169</td>\n",
       "      <td>-0.2335</td>\n",
       "      <td>-0.2084</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2500</td>\n",
       "      <td>0.6979</td>\n",
       "      <td>-0.2499</td>\n",
       "      <td>0.1276</td>\n",
       "      <td>-0.1448</td>\n",
       "      <td>-0.0501</td>\n",
       "      <td>0.1080</td>\n",
       "      <td>1.1786</td>\n",
       "      <td>0.2127</td>\n",
       "      <td>0.0380</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 960 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    0.3055 -0.0744  0.7291  0.4749  0.2727  0.6715  0.3856  0.2687  0.4672   \n",
       "1    0.6159  1.8577  0.3542  0.1497  0.8357 -0.2006 -0.1625  0.8567 -0.0189   \n",
       "2    0.1565 -0.2151  2.3941  0.3891  0.5192  3.3047  1.0865  2.0151  3.7053   \n",
       "3    1.2419  1.1555  1.0737  1.3219 -0.0030  0.7157  0.8317  1.8915  1.0437   \n",
       "4   -0.1225 -0.2465 -0.2124 -0.2499 -0.2486 -0.0266  0.0942  0.0397 -0.1685   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.4519  1.3839 -0.2058 -0.2145  0.3413 -0.2446 -0.1888  0.4414 -0.2170   \n",
       "496  0.6840  1.2116  0.9021  0.3563  0.7594  0.0941  1.1797  1.9965  0.0970   \n",
       "497  1.0848  0.2281  1.7836  1.4177 -0.0716  0.7558  2.7182  2.2595  0.7663   \n",
       "498 -0.1384  0.1852  0.3788  0.3212  0.2143  0.8924  0.7069  0.0456  0.6283   \n",
       "499  0.9639  0.8429 -0.1579  0.5139 -0.2351  0.1803  0.7803  0.1169 -0.2335   \n",
       "\n",
       "        9    ...     950     951     952     953     954     955     956  \\\n",
       "0    0.3905  ...  1.4948  1.3547 -0.0219  1.0413  0.0313  0.1164 -0.0281   \n",
       "1    0.9766  ...  0.2123  0.0883 -0.2450  0.5434  0.2067 -0.1577 -0.1990   \n",
       "2    1.0027  ...  0.0075 -0.2475 -0.2500 -0.1688  0.2458  0.8245  0.5925   \n",
       "3    0.4755  ... -0.0952 -0.1064  0.0365 -0.2443  0.4797  0.2253  0.8490   \n",
       "4   -0.1233  ...  1.1845  1.9756 -0.0389  1.4526  0.3762  0.5984 -0.1512   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495 -0.1796  ... -0.1423 -0.0016 -0.0588  0.0292  0.4206  0.5788  1.0217   \n",
       "496  0.9231  ... -0.1826 -0.2497 -0.2305  0.1463 -0.2232 -0.2380 -0.2421   \n",
       "497  0.8160  ...  0.1006  0.4142 -0.2258  0.5976 -0.2401 -0.0910 -0.1322   \n",
       "498  0.0420  ... -0.2299 -0.1523 -0.2095 -0.2075 -0.1695  0.4424 -0.1567   \n",
       "499 -0.2084  ... -0.2500  0.6979 -0.2499  0.1276 -0.1448 -0.0501  0.1080   \n",
       "\n",
       "        957     958     959  \n",
       "0   -0.1431  0.1290  0.3401  \n",
       "1    0.3614  0.0423  0.1024  \n",
       "2    1.0842  1.8935  2.2336  \n",
       "3    0.5844  1.0225  2.5999  \n",
       "4    0.5798  1.1441  0.1886  \n",
       "..      ...     ...     ...  \n",
       "495  1.1021 -0.1049  0.4926  \n",
       "496 -0.2294 -0.2061 -0.2262  \n",
       "497 -0.2365  0.0688 -0.2405  \n",
       "498  0.5181  0.3297 -0.2372  \n",
       "499  1.1786  0.2127  0.0380  \n",
       "\n",
       "[500 rows x 960 columns]"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('poly', df_scl, dtst)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "095678b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Polynomial')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "c41775c2",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>950</th>\n",
       "      <th>951</th>\n",
       "      <th>952</th>\n",
       "      <th>953</th>\n",
       "      <th>954</th>\n",
       "      <th>955</th>\n",
       "      <th>956</th>\n",
       "      <th>957</th>\n",
       "      <th>958</th>\n",
       "      <th>959</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2405</td>\n",
       "      <td>-0.0808</td>\n",
       "      <td>0.4538</td>\n",
       "      <td>0.3376</td>\n",
       "      <td>0.2194</td>\n",
       "      <td>0.4300</td>\n",
       "      <td>0.2888</td>\n",
       "      <td>0.2167</td>\n",
       "      <td>0.3336</td>\n",
       "      <td>0.2916</td>\n",
       "      <td>...</td>\n",
       "      <td>0.6756</td>\n",
       "      <td>0.6450</td>\n",
       "      <td>-0.0224</td>\n",
       "      <td>0.5624</td>\n",
       "      <td>0.0304</td>\n",
       "      <td>0.1049</td>\n",
       "      <td>-0.0289</td>\n",
       "      <td>-0.1714</td>\n",
       "      <td>0.1151</td>\n",
       "      <td>0.2619</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.4058</td>\n",
       "      <td>0.7406</td>\n",
       "      <td>0.2704</td>\n",
       "      <td>0.1314</td>\n",
       "      <td>0.4945</td>\n",
       "      <td>-0.2708</td>\n",
       "      <td>-0.2014</td>\n",
       "      <td>0.5020</td>\n",
       "      <td>-0.0193</td>\n",
       "      <td>0.5424</td>\n",
       "      <td>...</td>\n",
       "      <td>0.1780</td>\n",
       "      <td>0.0815</td>\n",
       "      <td>-0.4047</td>\n",
       "      <td>0.3720</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-0.1937</td>\n",
       "      <td>-0.2675</td>\n",
       "      <td>0.2747</td>\n",
       "      <td>0.0406</td>\n",
       "      <td>0.0934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.1367</td>\n",
       "      <td>-0.3034</td>\n",
       "      <td>0.8097</td>\n",
       "      <td>0.2908</td>\n",
       "      <td>0.3601</td>\n",
       "      <td>0.8822</td>\n",
       "      <td>0.5757</td>\n",
       "      <td>0.7637</td>\n",
       "      <td>0.9031</td>\n",
       "      <td>0.5506</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>-0.4219</td>\n",
       "      <td>-0.4655</td>\n",
       "      <td>-0.2118</td>\n",
       "      <td>0.2013</td>\n",
       "      <td>0.4904</td>\n",
       "      <td>0.3951</td>\n",
       "      <td>0.5751</td>\n",
       "      <td>0.7461</td>\n",
       "      <td>0.7917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.6178</td>\n",
       "      <td>0.5951</td>\n",
       "      <td>0.5720</td>\n",
       "      <td>0.6374</td>\n",
       "      <td>-0.0030</td>\n",
       "      <td>0.4484</td>\n",
       "      <td>0.4930</td>\n",
       "      <td>0.7458</td>\n",
       "      <td>0.5631</td>\n",
       "      <td>0.3379</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.1062</td>\n",
       "      <td>-0.1204</td>\n",
       "      <td>0.0352</td>\n",
       "      <td>-0.5192</td>\n",
       "      <td>0.3401</td>\n",
       "      <td>0.1872</td>\n",
       "      <td>0.4993</td>\n",
       "      <td>0.3914</td>\n",
       "      <td>0.5567</td>\n",
       "      <td>0.8300</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-0.1420</td>\n",
       "      <td>-0.5073</td>\n",
       "      <td>-0.2969</td>\n",
       "      <td>-0.4693</td>\n",
       "      <td>-0.4320</td>\n",
       "      <td>-0.0274</td>\n",
       "      <td>0.0865</td>\n",
       "      <td>0.0382</td>\n",
       "      <td>-0.2112</td>\n",
       "      <td>-0.1430</td>\n",
       "      <td>...</td>\n",
       "      <td>0.6029</td>\n",
       "      <td>0.7581</td>\n",
       "      <td>-0.0405</td>\n",
       "      <td>0.6667</td>\n",
       "      <td>0.2834</td>\n",
       "      <td>0.3978</td>\n",
       "      <td>-0.1836</td>\n",
       "      <td>0.3893</td>\n",
       "      <td>0.5920</td>\n",
       "      <td>0.1608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.3255</td>\n",
       "      <td>0.6517</td>\n",
       "      <td>-0.6108</td>\n",
       "      <td>-0.3019</td>\n",
       "      <td>0.2626</td>\n",
       "      <td>-0.5177</td>\n",
       "      <td>-0.2474</td>\n",
       "      <td>0.3199</td>\n",
       "      <td>-0.5926</td>\n",
       "      <td>-0.2304</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.6795</td>\n",
       "      <td>-0.7609</td>\n",
       "      <td>-0.0627</td>\n",
       "      <td>-0.7733</td>\n",
       "      <td>0.3085</td>\n",
       "      <td>0.3888</td>\n",
       "      <td>0.5565</td>\n",
       "      <td>0.5802</td>\n",
       "      <td>-0.1185</td>\n",
       "      <td>0.3468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.4353</td>\n",
       "      <td>0.6100</td>\n",
       "      <td>0.5178</td>\n",
       "      <td>0.2717</td>\n",
       "      <td>0.4658</td>\n",
       "      <td>0.0864</td>\n",
       "      <td>0.6016</td>\n",
       "      <td>0.7611</td>\n",
       "      <td>0.0889</td>\n",
       "      <td>0.5249</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.2359</td>\n",
       "      <td>-0.4474</td>\n",
       "      <td>-0.5647</td>\n",
       "      <td>0.1288</td>\n",
       "      <td>-0.3242</td>\n",
       "      <td>-0.3719</td>\n",
       "      <td>-0.5291</td>\n",
       "      <td>-0.3421</td>\n",
       "      <td>-0.2826</td>\n",
       "      <td>-0.5744</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.5753</td>\n",
       "      <td>0.1892</td>\n",
       "      <td>0.7287</td>\n",
       "      <td>0.6592</td>\n",
       "      <td>-0.0774</td>\n",
       "      <td>0.4644</td>\n",
       "      <td>0.8405</td>\n",
       "      <td>0.7947</td>\n",
       "      <td>0.4685</td>\n",
       "      <td>0.4873</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0918</td>\n",
       "      <td>0.3050</td>\n",
       "      <td>-0.3313</td>\n",
       "      <td>0.3975</td>\n",
       "      <td>-0.5368</td>\n",
       "      <td>-0.1009</td>\n",
       "      <td>-0.6875</td>\n",
       "      <td>-0.3662</td>\n",
       "      <td>0.0645</td>\n",
       "      <td>-0.5351</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>-0.1644</td>\n",
       "      <td>0.1584</td>\n",
       "      <td>0.2849</td>\n",
       "      <td>0.2504</td>\n",
       "      <td>0.1794</td>\n",
       "      <td>0.5145</td>\n",
       "      <td>0.4448</td>\n",
       "      <td>0.0437</td>\n",
       "      <td>0.4113</td>\n",
       "      <td>0.0403</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.3438</td>\n",
       "      <td>-0.1853</td>\n",
       "      <td>-0.2901</td>\n",
       "      <td>-0.2857</td>\n",
       "      <td>-0.6548</td>\n",
       "      <td>0.3204</td>\n",
       "      <td>-0.1921</td>\n",
       "      <td>0.3596</td>\n",
       "      <td>0.2556</td>\n",
       "      <td>-0.3686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.5383</td>\n",
       "      <td>0.4971</td>\n",
       "      <td>-0.1941</td>\n",
       "      <td>0.3575</td>\n",
       "      <td>-0.3609</td>\n",
       "      <td>0.1547</td>\n",
       "      <td>0.4738</td>\n",
       "      <td>0.1053</td>\n",
       "      <td>-0.3554</td>\n",
       "      <td>-0.6069</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.4611</td>\n",
       "      <td>0.4411</td>\n",
       "      <td>-0.4685</td>\n",
       "      <td>-0.8056</td>\n",
       "      <td>-0.1739</td>\n",
       "      <td>-0.0528</td>\n",
       "      <td>0.0980</td>\n",
       "      <td>0.6013</td>\n",
       "      <td>0.1783</td>\n",
       "      <td>0.0367</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 960 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    0.2405 -0.0808  0.4538  0.3376  0.2194  0.4300  0.2888  0.2167  0.3336   \n",
       "1    0.4058  0.7406  0.2704  0.1314  0.4945 -0.2708 -0.2014  0.5020 -0.0193   \n",
       "2    0.1367 -0.3034  0.8097  0.2908  0.3601  0.8822  0.5757  0.7637  0.9031   \n",
       "3    0.6178  0.5951  0.5720  0.6374 -0.0030  0.4484  0.4930  0.7458  0.5631   \n",
       "4   -0.1420 -0.5073 -0.2969 -0.4693 -0.4320 -0.0274  0.0865  0.0382 -0.2112   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.3255  0.6517 -0.6108 -0.3019  0.2626 -0.5177 -0.2474  0.3199 -0.5926   \n",
       "496  0.4353  0.6100  0.5178  0.2717  0.4658  0.0864  0.6016  0.7611  0.0889   \n",
       "497  0.5753  0.1892  0.7287  0.6592 -0.0774  0.4644  0.8405  0.7947  0.4685   \n",
       "498 -0.1644  0.1584  0.2849  0.2504  0.1794  0.5145  0.4448  0.0437  0.4113   \n",
       "499  0.5383  0.4971 -0.1941  0.3575 -0.3609  0.1547  0.4738  0.1053 -0.3554   \n",
       "\n",
       "        9    ...     950     951     952     953     954     955     956  \\\n",
       "0    0.2916  ...  0.6756  0.6450 -0.0224  0.5624  0.0304  0.1049 -0.0289   \n",
       "1    0.5424  ...  0.1780  0.0815 -0.4047  0.3720  0.1740 -0.1937 -0.2675   \n",
       "2    0.5506  ...  0.0075 -0.4219 -0.4655 -0.2118  0.2013  0.4904  0.3951   \n",
       "3    0.3379  ... -0.1062 -0.1204  0.0352 -0.5192  0.3401  0.1872  0.4993   \n",
       "4   -0.1430  ...  0.6029  0.7581 -0.0405  0.6667  0.2834  0.3978 -0.1836   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495 -0.2304  ... -0.6795 -0.7609 -0.0627 -0.7733  0.3085  0.3888  0.5565   \n",
       "496  0.5249  ... -0.2359 -0.4474 -0.5647  0.1288 -0.3242 -0.3719 -0.5291   \n",
       "497  0.4873  ...  0.0918  0.3050 -0.3313  0.3975 -0.5368 -0.1009 -0.6875   \n",
       "498  0.0403  ... -0.3438 -0.1853 -0.2901 -0.2857 -0.6548  0.3204 -0.1921   \n",
       "499 -0.6069  ... -0.4611  0.4411 -0.4685 -0.8056 -0.1739 -0.0528  0.0980   \n",
       "\n",
       "        957     958     959  \n",
       "0   -0.1714  0.1151  0.2619  \n",
       "1    0.2747  0.0406  0.0934  \n",
       "2    0.5751  0.7461  0.7917  \n",
       "3    0.3914  0.5567  0.8300  \n",
       "4    0.3893  0.5920  0.1608  \n",
       "..      ...     ...     ...  \n",
       "495  0.5802 -0.1185  0.3468  \n",
       "496 -0.3421 -0.2826 -0.5744  \n",
       "497 -0.3662  0.0645 -0.5351  \n",
       "498  0.3596  0.2556 -0.3686  \n",
       "499  0.6013  0.1783  0.0367  \n",
       "\n",
       "[500 rows x 960 columns]"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('sig', df_scl, dtst)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "ad0b581c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Sigmoid')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "ea79c1fe",
   "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>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>...</th>\n",
       "      <th>950</th>\n",
       "      <th>951</th>\n",
       "      <th>952</th>\n",
       "      <th>953</th>\n",
       "      <th>954</th>\n",
       "      <th>955</th>\n",
       "      <th>956</th>\n",
       "      <th>957</th>\n",
       "      <th>958</th>\n",
       "      <th>959</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0784</td>\n",
       "      <td>0.0422</td>\n",
       "      <td>0.0486</td>\n",
       "      <td>0.0467</td>\n",
       "      <td>0.0506</td>\n",
       "      <td>0.0381</td>\n",
       "      <td>0.0286</td>\n",
       "      <td>0.0335</td>\n",
       "      <td>0.0440</td>\n",
       "      <td>0.0672</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0869</td>\n",
       "      <td>0.0898</td>\n",
       "      <td>0.0311</td>\n",
       "      <td>0.0490</td>\n",
       "      <td>0.0489</td>\n",
       "      <td>0.0581</td>\n",
       "      <td>0.0582</td>\n",
       "      <td>0.0408</td>\n",
       "      <td>0.0462</td>\n",
       "      <td>0.0470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0526</td>\n",
       "      <td>0.0812</td>\n",
       "      <td>0.0306</td>\n",
       "      <td>0.0328</td>\n",
       "      <td>0.0534</td>\n",
       "      <td>0.0151</td>\n",
       "      <td>0.0204</td>\n",
       "      <td>0.0332</td>\n",
       "      <td>0.0333</td>\n",
       "      <td>0.0598</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>0.0214</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>0.0432</td>\n",
       "      <td>0.0412</td>\n",
       "      <td>0.0334</td>\n",
       "      <td>0.0462</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>0.0365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0249</td>\n",
       "      <td>0.0134</td>\n",
       "      <td>0.0353</td>\n",
       "      <td>0.0192</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>0.0154</td>\n",
       "      <td>0.0229</td>\n",
       "      <td>0.0435</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0200</td>\n",
       "      <td>0.0115</td>\n",
       "      <td>0.0084</td>\n",
       "      <td>0.0081</td>\n",
       "      <td>0.0245</td>\n",
       "      <td>0.0356</td>\n",
       "      <td>0.0318</td>\n",
       "      <td>0.0343</td>\n",
       "      <td>0.0449</td>\n",
       "      <td>0.0454</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0227</td>\n",
       "      <td>0.0235</td>\n",
       "      <td>0.0192</td>\n",
       "      <td>0.0273</td>\n",
       "      <td>0.0175</td>\n",
       "      <td>0.0170</td>\n",
       "      <td>0.0176</td>\n",
       "      <td>0.0215</td>\n",
       "      <td>0.0202</td>\n",
       "      <td>0.0220</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0179</td>\n",
       "      <td>0.0146</td>\n",
       "      <td>0.0111</td>\n",
       "      <td>0.0062</td>\n",
       "      <td>0.0216</td>\n",
       "      <td>0.0298</td>\n",
       "      <td>0.0380</td>\n",
       "      <td>0.0227</td>\n",
       "      <td>0.0277</td>\n",
       "      <td>0.0452</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0131</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>0.0103</td>\n",
       "      <td>0.0090</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>0.0108</td>\n",
       "      <td>0.0099</td>\n",
       "      <td>0.0086</td>\n",
       "      <td>0.0121</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0168</td>\n",
       "      <td>0.0222</td>\n",
       "      <td>0.0097</td>\n",
       "      <td>0.0159</td>\n",
       "      <td>0.0148</td>\n",
       "      <td>0.0214</td>\n",
       "      <td>0.0162</td>\n",
       "      <td>0.0146</td>\n",
       "      <td>0.0178</td>\n",
       "      <td>0.0135</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>495</th>\n",
       "      <td>0.0077</td>\n",
       "      <td>0.0123</td>\n",
       "      <td>0.0054</td>\n",
       "      <td>0.0058</td>\n",
       "      <td>0.0085</td>\n",
       "      <td>0.0037</td>\n",
       "      <td>0.0034</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>0.0061</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0064</td>\n",
       "      <td>0.0044</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0036</td>\n",
       "      <td>0.0113</td>\n",
       "      <td>0.0151</td>\n",
       "      <td>0.0157</td>\n",
       "      <td>0.0161</td>\n",
       "      <td>0.0063</td>\n",
       "      <td>0.0069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>496</th>\n",
       "      <td>0.0156</td>\n",
       "      <td>0.0183</td>\n",
       "      <td>0.0152</td>\n",
       "      <td>0.0166</td>\n",
       "      <td>0.0169</td>\n",
       "      <td>0.0085</td>\n",
       "      <td>0.0175</td>\n",
       "      <td>0.0205</td>\n",
       "      <td>0.0098</td>\n",
       "      <td>0.0213</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0137</td>\n",
       "      <td>0.0113</td>\n",
       "      <td>0.0088</td>\n",
       "      <td>0.0112</td>\n",
       "      <td>0.0146</td>\n",
       "      <td>0.0170</td>\n",
       "      <td>0.0110</td>\n",
       "      <td>0.0112</td>\n",
       "      <td>0.0103</td>\n",
       "      <td>0.0085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>497</th>\n",
       "      <td>0.0152</td>\n",
       "      <td>0.0086</td>\n",
       "      <td>0.0144</td>\n",
       "      <td>0.0135</td>\n",
       "      <td>0.0080</td>\n",
       "      <td>0.0082</td>\n",
       "      <td>0.0159</td>\n",
       "      <td>0.0169</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>0.0127</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0101</td>\n",
       "      <td>0.0116</td>\n",
       "      <td>0.0060</td>\n",
       "      <td>0.0088</td>\n",
       "      <td>0.0082</td>\n",
       "      <td>0.0137</td>\n",
       "      <td>0.0078</td>\n",
       "      <td>0.0073</td>\n",
       "      <td>0.0101</td>\n",
       "      <td>0.0063</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>498</th>\n",
       "      <td>0.0087</td>\n",
       "      <td>0.0108</td>\n",
       "      <td>0.0107</td>\n",
       "      <td>0.0125</td>\n",
       "      <td>0.0097</td>\n",
       "      <td>0.0077</td>\n",
       "      <td>0.0094</td>\n",
       "      <td>0.0070</td>\n",
       "      <td>0.0096</td>\n",
       "      <td>0.0100</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0093</td>\n",
       "      <td>0.0071</td>\n",
       "      <td>0.0079</td>\n",
       "      <td>0.0084</td>\n",
       "      <td>0.0228</td>\n",
       "      <td>0.0094</td>\n",
       "      <td>0.0175</td>\n",
       "      <td>0.0179</td>\n",
       "      <td>0.0076</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>499</th>\n",
       "      <td>0.0071</td>\n",
       "      <td>0.0089</td>\n",
       "      <td>0.0051</td>\n",
       "      <td>0.0069</td>\n",
       "      <td>0.0055</td>\n",
       "      <td>0.0032</td>\n",
       "      <td>0.0056</td>\n",
       "      <td>0.0042</td>\n",
       "      <td>0.0043</td>\n",
       "      <td>0.0045</td>\n",
       "      <td>...</td>\n",
       "      <td>0.0046</td>\n",
       "      <td>0.0086</td>\n",
       "      <td>0.0040</td>\n",
       "      <td>0.0027</td>\n",
       "      <td>0.0059</td>\n",
       "      <td>0.0092</td>\n",
       "      <td>0.0078</td>\n",
       "      <td>0.0104</td>\n",
       "      <td>0.0075</td>\n",
       "      <td>0.0063</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>500 rows × 960 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        0       1       2       3       4       5       6       7       8    \\\n",
       "0    0.0784  0.0422  0.0486  0.0467  0.0506  0.0381  0.0286  0.0335  0.0440   \n",
       "1    0.0526  0.0812  0.0306  0.0328  0.0534  0.0151  0.0204  0.0332  0.0333   \n",
       "2    0.0249  0.0134  0.0353  0.0192  0.0243  0.0330  0.0154  0.0229  0.0435   \n",
       "3    0.0227  0.0235  0.0192  0.0273  0.0175  0.0170  0.0176  0.0215  0.0202   \n",
       "4    0.0131  0.0089  0.0103  0.0090  0.0110  0.0100  0.0108  0.0099  0.0086   \n",
       "..      ...     ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0077  0.0123  0.0054  0.0058  0.0085  0.0037  0.0034  0.0045  0.0045   \n",
       "496  0.0156  0.0183  0.0152  0.0166  0.0169  0.0085  0.0175  0.0205  0.0098   \n",
       "497  0.0152  0.0086  0.0144  0.0135  0.0080  0.0082  0.0159  0.0169  0.0089   \n",
       "498  0.0087  0.0108  0.0107  0.0125  0.0097  0.0077  0.0094  0.0070  0.0096   \n",
       "499  0.0071  0.0089  0.0051  0.0069  0.0055  0.0032  0.0056  0.0042  0.0043   \n",
       "\n",
       "        9    ...     950     951     952     953     954     955     956  \\\n",
       "0    0.0672  ...  0.0869  0.0898  0.0311  0.0490  0.0489  0.0581  0.0582   \n",
       "1    0.0598  ...  0.0471  0.0375  0.0214  0.0281  0.0432  0.0412  0.0334   \n",
       "2    0.0256  ...  0.0200  0.0115  0.0084  0.0081  0.0245  0.0356  0.0318   \n",
       "3    0.0220  ...  0.0179  0.0146  0.0111  0.0062  0.0216  0.0298  0.0380   \n",
       "4    0.0121  ...  0.0168  0.0222  0.0097  0.0159  0.0148  0.0214  0.0162   \n",
       "..      ...  ...     ...     ...     ...     ...     ...     ...     ...   \n",
       "495  0.0061  ...  0.0064  0.0044  0.0059  0.0036  0.0113  0.0151  0.0157   \n",
       "496  0.0213  ...  0.0137  0.0113  0.0088  0.0112  0.0146  0.0170  0.0110   \n",
       "497  0.0127  ...  0.0101  0.0116  0.0060  0.0088  0.0082  0.0137  0.0078   \n",
       "498  0.0100  ...  0.0092  0.0093  0.0071  0.0079  0.0084  0.0228  0.0094   \n",
       "499  0.0045  ...  0.0046  0.0086  0.0040  0.0027  0.0059  0.0092  0.0078   \n",
       "\n",
       "        957     958     959  \n",
       "0    0.0408  0.0462  0.0470  \n",
       "1    0.0462  0.0338  0.0365  \n",
       "2    0.0343  0.0449  0.0454  \n",
       "3    0.0227  0.0277  0.0452  \n",
       "4    0.0146  0.0178  0.0135  \n",
       "..      ...     ...     ...  \n",
       "495  0.0161  0.0063  0.0069  \n",
       "496  0.0112  0.0103  0.0085  \n",
       "497  0.0073  0.0101  0.0063  \n",
       "498  0.0175  0.0179  0.0076  \n",
       "499  0.0104  0.0075  0.0063  \n",
       "\n",
       "[500 rows x 960 columns]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "K = kernelFunc('lap', df_scl, dtst)\n",
    "K = pd.DataFrame(K)\n",
    "K = round(K, 4)\n",
    "K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "d8d6f4d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(K)\n",
    "plt.title('Laplacian')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}