20280056_THKTDL_Tuan6.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Import thư viện"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import ListedColormap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Đọc dữ liệu"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "blobs là dữ liệu gốc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "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>ID</th>\n",
       "      <th>x</th>\n",
       "      <th>y</th>\n",
       "      <th>cluster</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>24.412</td>\n",
       "      <td>32.932</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>35.190</td>\n",
       "      <td>12.189</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>26.288</td>\n",
       "      <td>41.718</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>0.376</td>\n",
       "      <td>15.506</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>26.116</td>\n",
       "      <td>3.963</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   ID       x       y  cluster\n",
       "0   0  24.412  32.932        2\n",
       "1   1  35.190  12.189        1\n",
       "2   2  26.288  41.718        2\n",
       "3   3   0.376  15.506        0\n",
       "4   4  26.116   3.963        1"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "blobs=pd.read_csv('data.csv')\n",
    "colnames=list(blobs.columns[1:-1])\n",
    "blobs.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "df là dữ liệu gồm 2 điểm x, y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "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>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>24.412</td>\n",
       "      <td>32.932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>35.190</td>\n",
       "      <td>12.189</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>26.288</td>\n",
       "      <td>41.718</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.376</td>\n",
       "      <td>15.506</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>26.116</td>\n",
       "      <td>3.963</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        x       y\n",
       "0  24.412  32.932\n",
       "1  35.190  12.189\n",
       "2  26.288  41.718\n",
       "3   0.376  15.506\n",
       "4  26.116   3.963"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=blobs[['x','y']]\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Set màu để vẽ biểu đồ"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "customcmap=ListedColormap([\"crimson\",\"mediumblue\",\"darkmagenta\"])"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hàm khởi tạo medoids ngẫu nhiên"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initiate_medoids(k,dset):\n",
    "    medoids=dset.sample(k)\n",
    "    return medoids"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hàm tính khoảng cách manhattan (chuẩn 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rerr(a,b):\n",
    "    # return np.square(np.sum((a-b)**2))\n",
    "    return np.linalg.norm(a-b,ord=1)\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hàm gán medoid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [],
   "source": [
    "def medoid_assignation(dset, medoids):\n",
    "    # Số  medoid\n",
    "    k = medoids.shape[0]\n",
    "\n",
    "    # Số samples trong tập dữ liệu\n",
    "    n = dset.shape[0]\n",
    "\n",
    "    assignation = []\n",
    "\n",
    "    assign_errors = []\n",
    "\n",
    "    for obs in range(n):\n",
    "        # List error cho từng medoid\n",
    "        all_errors = np.array([])\n",
    "\n",
    "        # Tính error cho từng medoid\n",
    "        for medoid in range(k):\n",
    "            err = rerr(medoids.iloc[medoid, :], dset.iloc[obs, :])\n",
    "            all_errors = np.append(all_errors, err)\n",
    "\n",
    "        # Chọn medoid gần nhất \n",
    "        nearest_medoid = np.where(all_errors == np.amin(all_errors))[0].tolist()[0]\n",
    "        nearest_medoid_error = np.amin(all_errors)\n",
    "\n",
    "        assignation.append(nearest_medoid)\n",
    "        assign_errors.append(nearest_medoid_error)\n",
    "\n",
    "    return assignation, assign_errors\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hàm vẽ dữ liệu "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_cluster(df, medoids):\n",
    "    # Số medoid\n",
    "    k = medoids.shape[0]\n",
    "\n",
    "    # Tạo figure và axes cho đồ thị\n",
    "    fig, ax = plt.subplots(figsize=(8, 6))\n",
    "\n",
    "    # Vẽ các quan sát và gán nhãn màu sắc dựa trên medoid\n",
    "    # plt.scatter(df.iloc[:, 0], df.iloc[:, 1], marker='o', c=df['medoid'].astype('category'), cmap=customcmap.resampled(k), s=80, alpha=0.5)\n",
    "    plt.scatter(df.iloc[:, 0], df.iloc[:, 1], marker='o', c=df['medoid'].astype('category'), cmap='cool', s=80, alpha=0.5)\n",
    "\n",
    "    # Vẽ các medoid\n",
    "    # scatter = plt.scatter(medoids.iloc[:, 0], medoids.iloc[:, 1], marker='s', s=200, c=[i for i in range(k)], cmap=customcmap.resampled(k))\n",
    "    scatter = plt.scatter(medoids.iloc[:, 0], medoids.iloc[:, 1], marker='s', s=200, c=[i for i in range(k)], cmap='cool')\n",
    "\n",
    "    ax.set_xlabel(r'x', fontsize=14)\n",
    "    ax.set_ylabel(r'y', fontsize=14)\n",
    "\n",
    "    plt.xticks(fontsize=12)\n",
    "    plt.yticks(fontsize=12)\n",
    "\n",
    "    # Tạo chú thích cho các medoid\n",
    "    legend_labels = [f'medoid {i} : ({medoids.iloc[i, 0]:.2f}, {medoids.iloc[i, 1]:.2f})' for i in range(k)]\n",
    "    plt.legend(handles=scatter.legend_elements()[0], labels=legend_labels, title='medoids')\n",
    "\n",
    "    # Trả về axes để có thể thực hiện các tác vụ khác trên đồ thị\n",
    "    return ax\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hàm thuật toán chính kmedian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [],
   "source": [
    "def kmedian(dset, k=2, tol=1e-4, init_medoids=None, show_plot=True):\n",
    "    # Tạo bản sao để tránh thay đổi data gốc\n",
    "    working_dset = dset.copy()\n",
    "\n",
    "    # Danh sách error cho từng bước lặp\n",
    "    err = []\n",
    "\n",
    "    # Biến điều kiện để tiếp tục vòng lặp\n",
    "    goahead = True\n",
    "\n",
    "    # Biến đếm số lần lặp\n",
    "    j = 0\n",
    "\n",
    "    # Nếu không cho trước medoids thì sử dụng hàm initiate_medoids để khởi tạo\n",
    "    if init_medoids is None:\n",
    "        init_medoids = initiate_medoids(k, working_dset)\n",
    "    \n",
    "    # Gán giá trị khởi tạo cho medoids\n",
    "    medoids = init_medoids\n",
    "\n",
    "    while goahead:\n",
    "        # Gán medoid và tính error cho các quan sát\n",
    "        working_dset['medoid'], j_err = medoid_assignation(working_dset.iloc[:, :2], medoids)\n",
    "\n",
    "        # Tính tổng error và vẽ đồ thị\n",
    "        err.append(sum(j_err))\n",
    "        if show_plot is True:\n",
    "            ax = plot_cluster(working_dset, medoids)\n",
    "            ax.set_title(f'Iteration {j}')\n",
    "            plt.show()\n",
    "\n",
    "        # Tính các medoid mới dựa trên các quan sát đã gán nhãn\n",
    "        medoids = working_dset.groupby('medoid').agg('median').reset_index(drop=True)\n",
    "\n",
    "        if j > 0:\n",
    "            if err[j-1] - err[j] <= tol:\n",
    "                goahead = False\n",
    "\n",
    "        j += 1\n",
    "\n",
    "    return working_dset['medoid'], j_err, medoids\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chạy thuật toán kmedian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\votua\\AppData\\Local\\Temp\\ipykernel_13656\\656488633.py:3: SettingWithCopyWarning: \n",
      "A value is trying to be set on a copy of a slice from a DataFrame.\n",
      "Try using .loc[row_indexer,col_indexer] = value instead\n",
      "\n",
      "See the caveats in the documentation: https://pandas.pydata.org/pandas-docs/stable/user_guide/indexing.html#returning-a-view-versus-a-copy\n",
      "  df['medoid'],df['error'],medoids=kmedian(df[['x','y']],k=3,init_medoids=init_medoids)\n"
     ]
    }
   ],
   "source": [
    "np.random.seed(42)\n",
    "init_medoids=initiate_medoids(3,df)\n",
    "df['medoid'],df['error'],medoids=kmedian(df[['x','y']],k=3,init_medoids=init_medoids)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Medoids cuối cùng "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "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>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4.550</td>\n",
       "      <td>17.8100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>29.986</td>\n",
       "      <td>10.5365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>29.056</td>\n",
       "      <td>37.5350</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        x        y\n",
       "0   4.550  17.8100\n",
       "1  29.986  10.5365\n",
       "2  29.056  37.5350"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "medoids"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kiểm tra với cluster cho trước "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True    60\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(blobs['cluster']==df['medoid']).value_counts()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Sử dụng elbow method tìm ra số cụm tối ưu"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "err_total=[]\n",
    "n=10\n",
    "df_elbow=blobs[['x','y']]\n",
    "for i in range(n):\n",
    "    _,my_errs,_=kmedian(df_elbow,k=i+1,show_plot=False)\n",
    "    err_total.append(sum(my_errs))\n",
    "\n",
    "fig,ax=plt.subplots(figsize=(8,6))\n",
    "plt.plot(range(1,n+1),err_total,linewidth=3,marker='o')\n",
    "ax.set_xlabel(r'Number of clusters',fontsize=14)\n",
    "ax.set_ylabel(r'Total error',fontsize=14)\n",
    "plt.xticks(fontsize=12)\n",
    "plt.yticks(fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Có thể thấy điểm elbow = 3, vậy số cụm tối ưu là 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Kiểm tra với ví dụ về thuật toán kmedian trong file pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "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>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   x  y\n",
       "0  1  1\n",
       "1  2  1\n",
       "2  2  3\n",
       "3  3  2\n",
       "4  4  3\n",
       "5  5  5"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df=pd.DataFrame(data={'x':[1,2,2,3,4,5],'y':[1,1,3,2,3,5]})\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "init_medoids=pd.DataFrame({'x':[2,2],'y':[1,3]})\n",
    "df['medoid'],df['error'],medoids=kmedian(df,k=2,init_medoids=init_medoids)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Medoid cuối cùng"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "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>x</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2.0</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.5</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     x    y\n",
       "0  2.0  1.5\n",
       "1  4.5  4.0"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "medoids"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "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>x</th>\n",
       "      <th>y</th>\n",
       "      <th>medoid</th>\n",
       "      <th>error</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>1.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   x  y  medoid  error\n",
       "0  1  1       0    1.5\n",
       "1  2  1       0    0.5\n",
       "2  2  3       0    1.5\n",
       "3  3  2       0    1.5\n",
       "4  4  3       1    1.5\n",
       "5  5  5       1    1.5"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Ta thấy kết quả giống với kết quả trong file pdf"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "env",
   "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": "3.11.3"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}