exploratory_data_analysis.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "import mr.dataset\n",
    "import mr.stat\n",
    "import mr.io"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "sns.set()\n",
    "plt.rcParams['figure.figsize'] = (12, 12)\n",
    "sns.set_style(\"whitegrid\")\n",
    "\n",
    "SMALL_SIZE = 15\n",
    "MEDIUM_SIZE = 20\n",
    "BIGGER_SIZE = 25\n",
    "\n",
    "#plt.rc('font', size=SMALL_SIZE)          # controls default text sizes\n",
    "plt.rc('axes', titlesize=SMALL_SIZE)     # fontsize of the axes title\n",
    "plt.rc('axes', labelsize=MEDIUM_SIZE)    # fontsize of the x and y labels\n",
    "plt.rc('xtick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('ytick', labelsize=SMALL_SIZE)    # fontsize of the tick labels\n",
    "plt.rc('legend', fontsize=SMALL_SIZE)    # legend fontsize\n",
    "plt.rc('figure', titlesize=MEDIUM_SIZE)  # fontsize of the figure title"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "filename = mr.dataset.download_ml_small()\n",
    "# filename = mr.dataset.download_ml_25m()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "nnz_lst = mr.io.read_movielens_input(filename)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Basic Stats of the Dataset\n",
      "==========\n",
      "row count: 610\n",
      "col count: 9724\n",
      "nnz count: 100836\n",
      "density: 0.01700\n",
      "minimum rating: 0.5\n",
      "maximum rating: 5.0\n",
      "minimum row index: 1.0\n",
      "maximum row index: 610.0\n",
      "minimum col index: 1.0\n",
      "maximum col index: 193609.0\n",
      "\n",
      "Degree Stats of the Dataset\n",
      "==========\n",
      "minimum row degree: 20\n",
      "maximum row degree: 2698\n",
      "average row degree: 165.305\n",
      "minimum col degree: 1\n",
      "maximum col degree: 329\n",
      "average col degree: 10.370\n"
     ]
    }
   ],
   "source": [
    "# Basic Statistics\n",
    "\n",
    "nnz_count = nnz_lst.shape[0]\n",
    "row_set = set()\n",
    "col_set = set()\n",
    "rowdegree2count = defaultdict(int)\n",
    "coldegree2count = defaultdict(int)\n",
    "row2count = defaultdict(int)\n",
    "col2count = defaultdict(int)\n",
    "row2averagerating = defaultdict(int)\n",
    "col2averagerating = defaultdict(int)\n",
    "\n",
    "min_rating = float('inf')\n",
    "max_rating = float('-inf')\n",
    "\n",
    "min_row = float('inf')\n",
    "max_row = float('-inf')\n",
    "min_col = float('inf')\n",
    "max_col = float('-inf')\n",
    "\n",
    "for nnz in nnz_lst:\n",
    "    row, col, rating = nnz\n",
    "    row_set.add(row)\n",
    "    col_set.add(col)\n",
    "    \n",
    "    row2count[row] += 1\n",
    "    col2count[col] += 1\n",
    "    row2averagerating[row] += rating\n",
    "    col2averagerating[col] += rating\n",
    "    \n",
    "    if rating > max_rating:\n",
    "        max_rating = rating\n",
    "    if rating < min_rating:\n",
    "        min_rating = rating\n",
    "    \n",
    "    if row < min_row:\n",
    "        min_row = row\n",
    "    if row > max_row:\n",
    "        max_row = row\n",
    "    if col < min_col:\n",
    "        min_col = col\n",
    "    if col > max_col:\n",
    "        max_col = col\n",
    "    \n",
    "row_count = len(row_set)\n",
    "col_count = len(col_set)\n",
    "\n",
    "# Degree Stats\n",
    "\n",
    "row_min_degree = float('inf')\n",
    "row_max_degree = float('-inf')\n",
    "row_ave_degree = nnz_count / row_count\n",
    "col_min_degree = float('inf')\n",
    "col_max_degree = float('-inf')\n",
    "col_ave_degree = nnz_count / col_count\n",
    "\n",
    "rowdegree2count = defaultdict(int)\n",
    "coldegree2count = defaultdict(int)\n",
    "\n",
    "for row, count in row2count.items():\n",
    "    if count < row_min_degree:\n",
    "        row_min_degree = count\n",
    "    if count > row_max_degree:\n",
    "        row_max_degree = count\n",
    "    \n",
    "    row2averagerating[row] /= count\n",
    "    \n",
    "    rowdegree2count[count] += 1\n",
    "\n",
    "for col, count in col2count.items():\n",
    "    if count < col_min_degree:\n",
    "        col_min_degree = count\n",
    "    if count > col_max_degree:\n",
    "        col_max_degree = count\n",
    "    \n",
    "    col2averagerating[col] /= count\n",
    "    \n",
    "    coldegree2count[count] += 1\n",
    "\n",
    "# Output Stats\n",
    "\n",
    "print('Basic Stats of the Dataset')\n",
    "print('==========')\n",
    "print('row count: {}'.format(row_count))\n",
    "print('col count: {}'.format(col_count))\n",
    "print('nnz count: {}'.format(nnz_count))\n",
    "print('density: {:.5f}'.format(nnz_count / (row_count * col_count)))\n",
    "print('minimum rating: {}'.format(min_rating))\n",
    "print('maximum rating: {}'.format(max_rating))\n",
    "print('minimum row index: {}'.format(min_row))\n",
    "print('maximum row index: {}'.format(max_row))\n",
    "print('minimum col index: {}'.format(min_col))\n",
    "print('maximum col index: {}'.format(max_col))\n",
    "\n",
    "print()\n",
    "\n",
    "print('Degree Stats of the Dataset')\n",
    "print('==========')\n",
    "print('minimum row degree: {}'.format(row_min_degree))\n",
    "print('maximum row degree: {}'.format(row_max_degree))\n",
    "print('average row degree: {:.3f}'.format(row_ave_degree))\n",
    "print('minimum col degree: {}'.format(col_min_degree))\n",
    "print('maximum col degree: {}'.format(col_max_degree))\n",
    "print('average col degree: {:.3f}'.format(col_ave_degree))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(nnz_lst[:, 2], bins=np.arange(11) * 0.5 + 0.5)\n",
    "plt.xlim(0.5, 5.5)\n",
    "plt.xticks(np.arange(10) * 0.5 + 0.75, np.arange(10) * 0.5 + 0.5)\n",
    "plt.title('Rating Histogram')\n",
    "plt.ylabel('Count')\n",
    "plt.xlabel('Rating')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "row_rating_lst = row2averagerating.values()\n",
    "\n",
    "mean, std = mr.stat.fit_normal_dist(row_rating_lst)\n",
    "\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax1.hist(row_rating_lst, bins=40)\n",
    "plt.ylabel('Count')\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax2.grid(False)\n",
    "\n",
    "x = np.linspace(1, 5, 100)\n",
    "y = mr.stat.pdf_normal(x, mean, std)\n",
    "ax2.plot(x, y, c='red')\n",
    "\n",
    "plt.title('Histogram of Ratings Grouped by Rows')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "col_rating_lst = col2averagerating.values()\n",
    "\n",
    "mean, std = mr.stat.fit_normal_dist(col_rating_lst)\n",
    "\n",
    "fig, ax1 = plt.subplots()\n",
    "\n",
    "ax1.hist(col_rating_lst, bins=40)\n",
    "plt.ylabel('Count')\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "ax2.grid(False)\n",
    "\n",
    "x = np.linspace(1, 5, 100)\n",
    "y = mr.stat.pdf_normal(x, mean, std)\n",
    "ax2.plot(x, y, c='red')\n",
    "plt.ylim(0, 1.5)\n",
    "\n",
    "plt.title('Histogram of Ratings Grouped by Columns')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "row_dist = np.array(list(rowdegree2count.items()))\n",
    "col_dist = np.array(list(coldegree2count.items()))\n",
    "\n",
    "plt.scatter(row_dist[:, 0], row_dist[:, 1], label='Row Degree')\n",
    "plt.scatter(col_dist[:, 0], col_dist[:, 1], label='Column Degree')\n",
    "\n",
    "plt.yscale('log', base=10) \n",
    "plt.xscale('log', base=10) \n",
    "\n",
    "plt.legend()\n",
    "\n",
    "plt.xlabel('Degree')\n",
    "plt.ylabel('Frequence')\n",
    "plt.show()"
   ]
  }
 ],
 "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": "3.7.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}