patterns.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pattern Processing\n",
    "\n",
    "## Introduction\n",
    "\n",
    "-   This notebook is about pattern processing.\n",
    "-   Pattern processing is a technique to find patterns in a given string.\n",
    "-   It is used in various fields like data science, machine learning, etc.\n",
    "-   In this notebook, we will see how to use pattern processing in python.\n",
    "\n",
    "The dataset used in this notebook is [here](https://github.com/sbussmann/kaggle-mnist/blob/master/Data/train.csv)\n",
    "This project was created for me to learn and understand pattern processing.\n",
    "\n",
    "## Table of Contents\n",
    "\n",
    "1.  [Importing Libraries](#section1)\n",
    "2.  [Data Loading and Preprocessing](#section2)\n",
    "3.  [Pattern Processing](#section3)\n",
    "4.  [Conclusion](#section4)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Importing Libraries\n",
    "\n",
    "-   We will import the necessary libraries for pattern processing, data loading and manupulation.\n",
    "\n",
    "Each library is used for a specific purpose. For example, `numpy` is used for numerical operations, `matplotlib` is used for data visualization, `seaborn` is used for statistical data visualization, and `pandas` is used for data manipulation and analysis.\n",
    "\n",
    "[Back to Table of Contents](#Table-of-Contents)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data Loading and Preprocessing\n",
    "\n",
    "-   We will load the data and see the first few rows of the data.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>label</th>\n",
       "      <th>pixel0</th>\n",
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       "      <th>pixel781</th>\n",
       "      <th>pixel782</th>\n",
       "      <th>pixel783</th>\n",
       "    </tr>\n",
       "  </thead>\n",
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       "    <tr>\n",
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       "</table>\n",
       "<p>5 rows × 785 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   label  pixel0  pixel1  pixel2  pixel3  pixel4  pixel5  pixel6  pixel7  \\\n",
       "0      1       0       0       0       0       0       0       0       0   \n",
       "1      0       0       0       0       0       0       0       0       0   \n",
       "2      1       0       0       0       0       0       0       0       0   \n",
       "3      4       0       0       0       0       0       0       0       0   \n",
       "4      0       0       0       0       0       0       0       0       0   \n",
       "\n",
       "   pixel8  ...  pixel774  pixel775  pixel776  pixel777  pixel778  pixel779  \\\n",
       "0       0  ...         0         0         0         0         0         0   \n",
       "1       0  ...         0         0         0         0         0         0   \n",
       "2       0  ...         0         0         0         0         0         0   \n",
       "3       0  ...         0         0         0         0         0         0   \n",
       "4       0  ...         0         0         0         0         0         0   \n",
       "\n",
       "   pixel780  pixel781  pixel782  pixel783  \n",
       "0         0         0         0         0  \n",
       "1         0         0         0         0  \n",
       "2         0         0         0         0  \n",
       "3         0         0         0         0  \n",
       "4         0         0         0         0  \n",
       "\n",
       "[5 rows x 785 columns]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mnist_train_data = pd.read_csv(\"train.csv\")\n",
    "mnist_train_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The data is loaded using the `read_csv` function from the `pandas` library. The `head` function is used to see the first few rows of the data.\n",
    "The data is composed of 785 columns. The first column is the label and the rest of the columns are the pixel values of the image.\n",
    "In the next step, we will see the distribution of the labels.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(0, 9):\n",
    "    plt.subplot(330 + 1 + i)\n",
    "    plt.imshow(mnist_train_data.iloc[i*2, 1:].values.reshape(28, 28), cmap=plt.get_cmap('gray'))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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1tSovL9euXbv00Ucf6fz585o2bZra2tqi93nkkUf04Ycf6v3331dtba2OHTumOXPmJHxxAEDPdl2/EfWrr75Sdna2amtrNXnyZIXDYQ0ePFgbNmzQz372M0nS559/rttvv111dXXX9Jst+Y2owI3jm2++8TwTzxsX+I2oXatLfiNqOByWJGVmZkqS9u7dq/Pnz6ukpCR6n9GjR2vo0KGqq6vr9Hu0t7crEonEXAAAvV/cAero6NDKlSt19913a+zYsZKk5uZmpaamKiMjI+a+OTk5am5u7vT7VFZWKhAIRC95eXnxrgQA6EHiDlB5ebkOHjyod95557oWqKioUDgcjl6ampqu6/sBAHqGuP4h6ooVK7Rlyxbt2LFDQ4YMiV4fDAZ17tw5nTp1KuYsqKWlRcFgsNPv5ff75ff741kDANCDeToDcs5pxYoV2rhxo7Zt26b8/PyY28ePH6++ffuquro6el19fb2OHDmi4uLixGwMAOgVPJ0BlZeXa8OGDdq8ebPS0tKir+sEAgH1799fgUBAixcv1qpVq5SZman09HQ99NBDKi4uvqZ3wAEAbhyeArR27VpJ0pQpU2KuX7dunRYtWiRJevnll9WnTx/NnTtX7e3tKi0t1e9///uELAsA6D08Beha/slQv379VFVVpaqqqriXAgD0fnwWHADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEzE9RtRASARUlNTPc9MmjTJ88wXX3zheUaSCgsL45rDteEMCABgggABAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwwYeRAjCTkpLieSYUCnme+dvf/uZ5RpJmzpwZ1xyuDWdAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJPowUgJkLFy54nvnyyy89zyxcuNDzDJKPMyAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQfRgrATEpKiueZurq6JGwCC5wBAQBMECAAgAlPAaqsrNSECROUlpam7OxszZo1S/X19TH3mTJlinw+X8xl2bJlCV0aANDzeQpQbW2tysvLtWvXLn300Uc6f/68pk2bpra2tpj7LVmyRMePH49e1qxZk9ClAQA9n6c3IWzdujXm6/Xr1ys7O1t79+7V5MmTo9cPGDBAwWAwMRsCAHql63oNKBwOS5IyMzNjrn/rrbeUlZWlsWPHqqKiQmfOnLni92hvb1ckEom5AAB6v7jfht3R0aGVK1fq7rvv1tixY6PXL1iwQMOGDVMoFNKBAwf0xBNPqL6+Xh988EGn36eyslLPPvtsvGsAAHoon3POxTO4fPly/eUvf9HOnTs1ZMiQK95v27Ztmjp1qhoaGjRixIjLbm9vb1d7e3v060gkory8PIXDYaWnp8ezGgDAUCQSUSAQuOrP8bjOgFasWKEtW7Zox44d3xsfSSoqKpKkKwbI7/fL7/fHswYAoAfzFCDnnB566CFt3LhRNTU1ys/Pv+rM/v37JUm5ublxLQgA6J08Bai8vFwbNmzQ5s2blZaWpubmZklSIBBQ//79dfjwYW3YsEE//elPNWjQIB04cECPPPKIJk+erIKCgqT8DwAA9EyeXgPy+XydXr9u3TotWrRITU1N+sUvfqGDBw+qra1NeXl5mj17tp588slrfj3nWv/uEADQPSXlNaCrtSovL0+1tbVeviUA4AbFZ8EBAEwQIACACQIEADBBgAAAJggQAMAEAQIAmCBAAAATBAgAYIIAAQBMECAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAmCBAAwAQBAgCYIEAAABMECABgggABAEzcZL3ApZxzkqRIJGK8CQAgHt/+/P725/mVdLsAtba2SpLy8vKMNwEAXI/W1lYFAoEr3u5zV0tUF+vo6NCxY8eUlpYmn88Xc1skElFeXp6ampqUnp5utKE9jsNFHIeLOA4XcRwu6g7HwTmn1tZWhUIh9elz5Vd6ut0ZUJ8+fTRkyJDvvU96evoN/QT7FsfhIo7DRRyHizgOF1kfh+878/kWb0IAAJggQAAAEz0qQH6/X6tXr5bf77dexRTH4SKOw0Uch4s4Dhf1pOPQ7d6EAAC4MfSoMyAAQO9BgAAAJggQAMAEAQIAmOgxAaqqqtIPf/hD9evXT0VFRfr73/9uvVKXe+aZZ+Tz+WIuo0ePtl4r6Xbs2KEZM2YoFArJ5/Np06ZNMbc75/T0008rNzdX/fv3V0lJiQ4dOmSzbBJd7TgsWrTosufH9OnTbZZNksrKSk2YMEFpaWnKzs7WrFmzVF9fH3Ofs2fPqry8XIMGDdLNN9+suXPnqqWlxWjj5LiW4zBlypTLng/Lli0z2rhzPSJA7777rlatWqXVq1frs88+U2FhoUpLS3XixAnr1brcmDFjdPz48ehl586d1islXVtbmwoLC1VVVdXp7WvWrNGrr76q119/Xbt379bAgQNVWlqqs2fPdvGmyXW14yBJ06dPj3l+vP322124YfLV1taqvLxcu3bt0kcffaTz589r2rRpamtri97nkUce0Ycffqj3339ftbW1OnbsmObMmWO4deJdy3GQpCVLlsQ8H9asWWO08RW4HmDixImuvLw8+vWFCxdcKBRylZWVhlt1vdWrV7vCwkLrNUxJchs3box+3dHR4YLBoHvxxRej1506dcr5/X739ttvG2zYNS49Ds45t3DhQjdz5kyTfaycOHHCSXK1tbXOuYv/3/ft29e9//770fv861//cpJcXV2d1ZpJd+lxcM65e++91z388MN2S12Dbn8GdO7cOe3du1clJSXR6/r06aOSkhLV1dUZbmbj0KFDCoVCGj58uB544AEdOXLEeiVTjY2Nam5ujnl+BAIBFRUV3ZDPj5qaGmVnZ+u2227T8uXLdfLkSeuVkiocDkuSMjMzJUl79+7V+fPnY54Po0eP1tChQ3v18+HS4/Ctt956S1lZWRo7dqwqKip05swZi/WuqNt9GOmlvv76a124cEE5OTkx1+fk5Ojzzz832spGUVGR1q9fr9tuu03Hjx/Xs88+q3vuuUcHDx5UWlqa9XommpubJanT58e3t90opk+frjlz5ig/P1+HDx/Wb37zG5WVlamurk4pKSnW6yVcR0eHVq5cqbvvvltjx46VdPH5kJqaqoyMjJj79ubnQ2fHQZIWLFigYcOGKRQK6cCBA3riiSdUX1+vDz74wHDbWN0+QPifsrKy6J8LCgpUVFSkYcOG6b333tPixYsNN0N3MH/+/Oifx40bp4KCAo0YMUI1NTWaOnWq4WbJUV5eroMHD94Qr4N+nysdh6VLl0b/PG7cOOXm5mrq1Kk6fPiwRowY0dVrdqrb/xVcVlaWUlJSLnsXS0tLi4LBoNFW3UNGRoZGjRqlhoYG61XMfPsc4PlxueHDhysrK6tXPj9WrFihLVu2aPv27TG/viUYDOrcuXM6depUzP176/PhSsehM0VFRZLUrZ4P3T5AqampGj9+vKqrq6PXdXR0qLq6WsXFxYab2Tt9+rQOHz6s3Nxc61XM5OfnKxgMxjw/IpGIdu/efcM/P44ePaqTJ0/2queHc04rVqzQxo0btW3bNuXn58fcPn78ePXt2zfm+VBfX68jR470qufD1Y5DZ/bv3y9J3ev5YP0uiGvxzjvvOL/f79avX+/++c9/uqVLl7qMjAzX3NxsvVqX+vWvf+1qampcY2Oj++STT1xJSYnLyspyJ06csF4tqVpbW92+ffvcvn37nCT30ksvuX379rkvv/zSOefc888/7zIyMtzmzZvdgQMH3MyZM11+fr775ptvjDdPrO87Dq2tre7RRx91dXV1rrGx0X388cfuzjvvdLfeeqs7e/as9eoJs3z5chcIBFxNTY07fvx49HLmzJnofZYtW+aGDh3qtm3b5vbs2eOKi4tdcXGx4daJd7Xj0NDQ4J577jm3Z88e19jY6DZv3uyGDx/uJk+ebLx5rB4RIOece+2119zQoUNdamqqmzhxotu1a5f1Sl1u3rx5Ljc316Wmprof/OAHbt68ea6hocF6raTbvn27k3TZZeHChc65i2/Ffuqpp1xOTo7z+/1u6tSprr6+3nbpJPi+43DmzBk3bdo0N3jwYNe3b183bNgwt2TJkl73H2md/e+X5NatWxe9zzfffON+9atfuVtuucUNGDDAzZ492x0/ftxu6SS42nE4cuSImzx5ssvMzHR+v9+NHDnSPfbYYy4cDtsufgl+HQMAwES3fw0IANA7ESAAgAkCBAAwQYAAACYIEADABAECAJggQAAAEwQIAGCCAAEATBAgAIAJAgQAMEGAAAAm/h+0l7aM/8dpuAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "dex = np.array(mnist_train_data.iloc[3, 1:])\n",
    "plt.imshow(dex.reshape(28,28), cmap='Greys')\n",
    "dex.max(), dex.std(), dex.mean(), dex.min()\n",
    "\n",
    "plt.figure(figsize=(8,8))\n",
    "sns.heatmap(dex.reshape(28,28), square=True, cbar=False, annot=True, fmt='g', annot_kws={'fontsize': 6})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "42000"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(mnist_train_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "What we have done until here is to load the data and see the first few rows of the data. We took an example `dex` and plotted the image of the digit. We also saw the distribution of the labels.\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}