gaming_company.ipynb

{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#   **Pattern recognition course | ECE AUTH | 2nd project | Winter semester 2022**\n",
    "\n",
    "# **Gaming stress**\n",
    "\n",
    "![ logo](keyboard-and-mouse.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    ">   Giachoudis Christos\n",
    "\n",
    "\n",
    ">   Kostopoulos Andreas Marios"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **General comments**\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Necessary imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing the necessary libraries and modules\n",
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib import cm\n",
    "from IPython import display"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Useful functions for plotting**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# ***Function for plotting into subplots at the same figure***\n",
    "#_____________________________________________________________\n",
    "# fig: the figure in which will be done the plotting\n",
    "# figx: number of subplot placeholders on the x axis\n",
    "# figy: number of subplot placeholders on the y axis\n",
    "# fig_no: the place where the plot will be putted\n",
    "# title: the title of the plot\n",
    "# x_label: the label for the x axis of the plot\n",
    "# y_label: the label for the y axis of the plot\n",
    "# x: values for the x axis\n",
    "# y: values for the y axis\n",
    "#_____________________________________________________________\n",
    "# There are some changes to the background color and the type of the grid too. But those changes are not to be changed by given arguments\n",
    "def vizualize(fig, figx, figy, fig_no, title, x_label, y_label, x, y, custom_color=\"blue\"):\n",
    "    ax = fig.add_subplot(figy, figx, fig_no)\n",
    "    ax.set_facecolor('black')\n",
    "    ax.grid(color='white', linestyle=\"--\", alpha=0.3)\n",
    "    plt.title(title)\n",
    "    plt.xlabel(x_label)\n",
    "    plt.ylabel(y_label)\n",
    "    plt.plot(x, y, color=custom_color)\n",
    "    plt.legend([f\"{title}\"], loc = \"upper right\") \n",
    "\n",
    "# ***Same as the previous function but for more that one plots at the same subplot***\n",
    "#________________________________________________________________\n",
    "# y: a list of numpy arrays\n",
    "#________________________________________________________________\n",
    "def vizualize_more(fig, figx, figy, fig_no, title, x_label, y_label, x, y, title_comb):\n",
    "    ax = fig.add_subplot(figy, figx, fig_no)\n",
    "    ax.set_facecolor('black')\n",
    "    ax.grid(color='white', linestyle=\"--\", alpha=0.3)\n",
    "    plt.title(title)\n",
    "    plt.xlabel(x_label)\n",
    "    plt.ylabel(y_label)\n",
    "    for i in range(len(y)):\n",
    "        plt.plot(x, y[i])\n",
    "    plt.legend(title_comb, loc = \"upper right\")"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Data that are given by the task**\n",
    "* ## Classes\n",
    "    * ### $ω_1$: no stress\n",
    "    * ### $ω_2$: stress\n",
    "\n",
    "* ## Apriori probabilities\n",
    "    * ### $P(ω_1) = \\frac{7}{12}$\n",
    "    * ### $P(ω_2) = \\frac{5}{12}$ \n",
    "\n",
    "* ## Probability density function for x\n",
    "    * ### $p(x|θ) = \\frac{1}{\\pi} \\cdot \\frac{1}{1+(x-θ)^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Function to calculate p(x|θ) for task A1\n",
    "\"\"\"\n",
    "Arguments:\n",
    "D:          List of elements like those in D1 and D2\n",
    "thetas:     List of theta values\n",
    "\n",
    "Returns:    log(pdf)  \n",
    "\"\"\"\n",
    "def prob(D, thetas):\n",
    "    #Initialising p1 and p2 where p_i = p(x_i|theta)\n",
    "    p = 1\n",
    "    for x in D:\n",
    "        p *= (1/math.pi)*(1/(1+(x-thetas)**2))\n",
    "    return p\n",
    "\n",
    "#Discrimination function for task A1\n",
    "\"\"\"\n",
    "Arguments:\n",
    "X:          List of total elements to be sorted\n",
    "theta_i:    the two theta values found from maximum likelihood estimation\n",
    "p_i:        A-priori probabilities\n",
    "\n",
    "Returns:\n",
    "g:          The discrimination function\n",
    "\"\"\"\n",
    "def discrimination(X, theta1, theta2, p1, p2):\n",
    "    g = list()\n",
    "    for x in X:\n",
    "        temp = (np.log((1/math.pi)*(1/(1+(x-theta1)**2))) - np.log((1/math.pi)*(1/(1+(x-theta2)**2)))) + (np.log(p1) - np.log(p2))\n",
    "        g.append(temp)\n",
    "    return g"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Part A**"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Task A.1**\n",
    "* ## Data: \n",
    "    * ### $D1 = [2.8,\\, -0.4,\\, -0.8,\\, 2.3,\\, -0.3,\\, 3.6,\\, 4.1]$\n",
    "    * ### $D2 = [-4.5,\\, -3.4,\\, -3.1,\\, -3.0,\\, -2.3]$\n",
    "\n",
    "#### $Note:\\,\\,D_1\\,\\, is\\,\\, referring\\,\\, to\\,\\, ω_1\\,\\, class\\,\\, and\\,\\, D_2\\,\\, is\\,\\, referring\\,\\, to\\,\\, ω_2$\n",
    "\n",
    "* ## Needed math types\n",
    "    * ### $p(D_i|θ) = \\prod_{k=1}^N p(x_k|θ)$\n",
    "    * ### $\\hat{θ}_{ML} = arg \\max_{θ} \\prod_{k=1}^N p(x_k|θ)$\n",
    "\n",
    "## $Our\\, goal\\, for\\, the\\, first\\, task\\, is\\, to\\, estimate\\, the\\, unknown\\, parameters\\, θ_1\\, and\\, θ_2\\,$\n",
    "## $ using\\, a\\, set\\, of\\, available\\, feature\\, vectors\\, from\\, each\\, class.$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#A-priori probabilities\n",
    "P_apriori1 = 7/12\n",
    "P_apriori2 = 5/12\n",
    "\n",
    "#Data for ω1\n",
    "D1 = [2.8, -0.4, -0.8, 2.3, -0.3, 3.6, 4.1]\n",
    "\n",
    "#Data for ω2\n",
    "D2 = [-4.5, -3.4, -3.1, -3.0, -2.3]\n",
    "\n",
    "# θ generation\n",
    "begin = -60\n",
    "end = 60\n",
    "step = 0.01\n",
    "theta = np.arange(begin, end, step)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimation of theta1: 2.5999999999875456\n",
      "Estimation of theta2: -3.1600000000113084\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Task A1\n",
    "\n",
    "#We calculate p_i(x|θ).\n",
    "#We are using the function prob as explained above. \n",
    "p1 = prob(D1, theta)\n",
    "p2 = prob(D2, theta)\n",
    "\n",
    "#We take the logarithmic value of p_i\n",
    "L1 = np.log(p1)\n",
    "L2 = np.log(p2)\n",
    "\n",
    "#Finding the max value (theta_i) of L_i array instead of calculating via the derivative method: d(L) / d(theta) = 0\n",
    "theta1 = theta[L1.argmax()]\n",
    "theta2 = theta[L2.argmax()]\n",
    "\n",
    "#Estimation of theta_i\n",
    "print(f\"Estimation of theta1: {theta1}\")\n",
    "print(f\"Estimation of theta2: {theta2}\")\n",
    "\n",
    "#Plotting log(p(D_i|theta))\n",
    "fig = plt.figure(figsize=(10, 5))\n",
    "ax = plt.axes()\n",
    "ax.set_facecolor(\"black\")\n",
    "plt.plot(theta,L1, color=\"green\")\n",
    "plt.plot(theta,L2, color=\"red\")\n",
    "plt.title(\"Display of log(p(D1|θ)) and log(p(D2|θ)) as functions of theta\", loc=\"left\")\n",
    "plt.xlabel(\"theta\")\n",
    "plt.ylabel(\"log(p(D_i|θ))\")\n",
    "plt.legend([\"log(p(D1|θ))\", \"log(p(D2|θ))\"])\n",
    "plt.grid(color=\"white\", linestyle=\"--\", alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Task A.2**\n",
    "## Discrimination function\n",
    "### $g(x) = \\log{p(x|\\hat{θ}_1)} - \\log{p(x|\\hat{θ}_2)} + \\log{P(ω_1)} - \\log{P(ω_2)}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "g is [3.8951553898439766, 0.18769376727702713, -0.31159197656149473, 3.6781857828423945, 0.31168291373696766, 3.4870178275433763, 3.1413717587738073, -2.575313716832764, -3.2184434859088196, -3.171181114669178, -3.11517304837697, -2.3291483065109073] and is size of 12\n",
      "g1 is [3.8951553898439766, 0.18769376727702713, -0.31159197656149473, 3.6781857828423945, 0.31168291373696766, 3.4870178275433763, 3.1413717587738073] and is size of 7\n",
      "g2 is [-2.575313716832764, -3.2184434859088196, -3.171181114669178, -3.11517304837697, -2.3291483065109073] and is size of 5\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Index X = D1 U D2\n",
    "X = D1 + D2\n",
    "\n",
    "#Discrimination Function g\n",
    "g = list()\n",
    "\n",
    "#We are using the lists g1 and g2 to hold the samples of class ω_1 and ω_2 accordingly.\n",
    "g1 = list()\n",
    "g2 = list()\n",
    "\n",
    "# g computations using the discrimination function as explained above.\n",
    "g = discrimination(X, theta1, theta2, P_apriori1, P_apriori2)\n",
    "g1 = g[:len(D1)]\n",
    "g2 = g[len(D1):]\n",
    "#computing the g function to plot it\n",
    "begin = -5\n",
    "end = 5\n",
    "x_axis = np.arange(begin, end, step)\n",
    "g_all = discrimination(x_axis, theta1, theta2, P_apriori1, P_apriori2)\n",
    "\n",
    "#Printing just to be sure that all the data are present\n",
    "print(f\"g is {g} and is size of {np.size(g)}\")\n",
    "print(f\"g1 is {g1} and is size of {np.size(g1)}\")\n",
    "print(f\"g2 is {g2} and is size of {np.size(g2)}\")\n",
    "\n",
    "# define classification boundary\n",
    "discrimination_line = [0 for _ in range(len(X))]\n",
    "\n",
    "#Classification and visualisation\n",
    "fig = plt.figure(figsize=(20, 10))\n",
    "ax = plt.axes()\n",
    "ax.set_facecolor(\"black\")\n",
    "plt.scatter(D1, g1, color=\"green\")\n",
    "plt.scatter(D2, g2, color=\"red\")\n",
    "plt.plot(X, discrimination_line, color=\"white\", alpha=0.8)\n",
    "plt.plot(x_axis, g_all)\n",
    "plt.title(\"Classification based on given discrimination function\")\n",
    "plt.xlabel(\"x index\")\n",
    "plt.ylabel(\"g(x)\")\n",
    "plt.grid(color=\"white\", linestyle=\"--\", alpha=0.3)\n",
    "plt.legend([\"class ω1\", \"class ω2\", \"classification boundary\", \"g(x)\"])\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Results and comments**\n",
    "### The sign of $g(x)$ determines the way we will classify each sample from our data. Specifically, if $g(x)>0$ the sample is classified in the first class $ω_1$ and in class $ω_2$ if $g(x)<0$. Based on this rule we see that our data is not perfectly sorted as a sample that normally belongs to class $ω_1$ appears to be misclassified in class $ω_2$."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Part B**\n",
    "# **Bayes estimation method**\n",
    "## Probability density function for θ\n",
    "### $p(θ) = \\frac{1}{10\\pi} \\cdot \\frac{1}{1+(\\frac{θ}{10})^2}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "___The θ values:___\n",
      "[-60.   -59.99 -59.98 ...  59.97  59.98  59.99]\n",
      "\n",
      "___The pdf values:___\n",
      "[0.0008603  0.00086058 0.00086086 ... 0.00086113 0.00086086 0.00086058]\n",
      "\n",
      "___The plot of the pdf of θ:___\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Prior probability density function for θ based on the task's given data\n",
    "p_theta = (1/(10*math.pi)) * (1/(1 + (theta/10)**2))\n",
    "\n",
    "# Print θ and pdf values to be sure\n",
    "print(\"___The θ values:___\")\n",
    "print(theta)\n",
    "print(\"\")\n",
    "print(\"___The pdf values:___\")\n",
    "print(p_theta)\n",
    "print(\"\")\n",
    "\n",
    "# Plot the pdf\n",
    "print(\"___The plot of the pdf of θ:___\")\n",
    "ax = plt.axes()\n",
    "ax.set_facecolor(\"black\")\n",
    "plt.title(\"p(θ)\") \n",
    "plt.xlabel(\"thetas\") \n",
    "plt.ylabel(\"p(thetas)\") \n",
    "plt.plot(theta, p_theta)\n",
    "plt.grid(color=\"white\", linestyle=\"--\", alpha=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Task B.1**\n",
    "\n",
    "## Computation of  $p(θ|D_1)$ and $p(θ|D_2)$\n",
    "\n",
    "### $p(θ|D_i) = \\frac{p(D_i|θ)p(θ)}{\\int p(D_i|θ)p(θ)dθ}$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Useful custom functions**\n",
    "\n",
    "> $p(θ|D_i)$ function implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "# p(θ|Di) function for better code usability\n",
    "#____________________________________________\n",
    "# p: the pdf values of Di based on theta | p(Di|θ)\n",
    "# p_theta: the pdf values of θ random variable | p(θ)\n",
    "# step: the step we used to create the theta values\n",
    "#____________________________________________\n",
    "# Make sure that p and p_theta have been calculated using the same theta-set\n",
    "def p_theta_Di(p, p_theta, step):\n",
    "    # Multiplication computation for both the denominator and the numerator\n",
    "    numerator = np.multiply(p, p_theta)\n",
    "    # Integral computation (Approximation using sum and the rule of the trapezoid)\n",
    "    integral = 0\n",
    "    for i in range(1, numerator.size):\n",
    "        integral += ((numerator[i] + numerator[i-1]) * step) / 2\n",
    "    # p(θ|D_i) computation\n",
    "    p_theta_D = numerator/integral\n",
    "    return p_theta_D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Implementation and vizualization**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3500x500 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# p(D_i|θ) exists because of task A.1\n",
    "# p(θ) has been computed at the beginning of task B\n",
    "# To compute the p(θ|Di) we use the custom made function above\n",
    "p_theta_D1 = p_theta_Di(p1, p_theta, step)\n",
    "p_theta_D2 = p_theta_Di(p2, p_theta, step)\n",
    "\n",
    "\n",
    "# Plot the computed pdfs\n",
    "# Prepare the figure\n",
    "fig = plt.figure(figsize=(35, 5))\n",
    "title1 = \"p(θ|D1)\"\n",
    "title2 = \"p(θ|D2)\"\n",
    "title3 = \"p(θ)\"\n",
    "title4 = \"p(θ|D1) and p(θ|D2)\"\n",
    "x_label = \"thetas (θ)\"\n",
    "y_label = \"pdf values\"\n",
    "\n",
    "# Plot separately\n",
    "# We will have 3 subplots so we use the custom made functions\n",
    "vizualize(fig, 3, 1, 1, title1, x_label, y_label, theta, p_theta_D1, custom_color=\"blue\")\n",
    "vizualize(fig, 3, 1, 2, title2, x_label, y_label, theta, p_theta_D2, custom_color=\"orange\")\n",
    "combine_list = [p_theta_D1, p_theta_D2]\n",
    "combine_titles = [title1, title2]\n",
    "vizualize_more(fig, 3, 1, 3, title4, x_label, y_label, theta, combine_list, combine_titles)\n",
    "\n",
    "# Show all plots\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 3000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plotting p(θ|D1), p(θ|D2) and p(θ) together\n",
    "fig = plt.figure(figsize=(30, 10))\n",
    "combine_list = [p_theta_D1, p_theta_D2, p_theta]\n",
    "combine_titles = [title1, title2, title3]\n",
    "title5 = \"p(θ|D1), p(θ|D2) and p(θ)\"\n",
    "vizualize_more(fig, 3, 1, 3, title5, x_label, y_label, theta, combine_list, combine_titles)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Results and comments**\n",
    "* ### We observe that the values of the conditional probability density functions of $p(θ|D_1)$ and $p(θ|D_2)$ are concentrated in a much narrower region than the one in which the values of the p(θ) are found. After the calculation we notice that the variance of values has decreased significantly. This helps in better classification, because as we can see, we don't have significant overlap between $p(θ|D_1)$ and $p(θ|D_2)$.\n"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Task B.2**\n",
    "\n",
    "> `Predict` function implementation\n",
    "\n",
    "## Needed functions for the predict function\n",
    "\n",
    "### $h(x) = \\log{p(x|D_1)} - \\log{p(x|D_2)} + \\log{P(ω_1)} - \\log{P(ω_2)}$\n",
    "\n",
    "### $p(x|D_i) = \\int p(x|θ)p(θ|D_i)dθ$"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Useful custom functions**\n",
    "\n",
    "> $p(x|θ)$ function implementation  \n",
    "> $p(x|D_i)$ function implementation  \n",
    "> `predict` function implementation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make sure that everything has been calculated using the same theta-set\n",
    "\n",
    "# p(x|θ) function\n",
    "#____________________________________________\n",
    "# x: the x value\n",
    "# theta: the theta value\n",
    "#____________________________________________\n",
    "def p_x_theta(x, theta):\n",
    "    return ((1/math.pi) * (1/(1 + (x - theta) ** 2)))\n",
    "\n",
    "# p(x|D) function\n",
    "#____________________________________________\n",
    "# x: specific x value\n",
    "# theta: all the theta values\n",
    "# p: the pdf values of Di based on theta | p(Di|θ)\n",
    "# p_theta: the pdf values of θ random variable | p(θ)\n",
    "# step: the step we used to create the theta values\n",
    "#____________________________________________\n",
    "def p_x_Di(x, theta, p, p_theta, step):\n",
    "    integral = 0\n",
    "    mult = p_x_theta(x, theta) * p_theta_Di(p, p_theta, step)\n",
    "    for i in range(1, len(theta)):\n",
    "        integral += ((mult[i] + mult[i-1]) * step) / 2\n",
    "    return integral\n",
    "\n",
    "# predict function declaration and implementation\n",
    "#________________________________________________\n",
    "# x: specific x value\n",
    "# theta: all the theta values\n",
    "# p1: the pdf values of Di based on theta | p(D1|θ)\n",
    "# p2: the pdf values of Di based on theta | p(D2|θ)\n",
    "# p_theta: the pdf values of θ random variable | p(θ)\n",
    "# step: the step we used to create the theta values\n",
    "#________________________________________________\n",
    "def predict(x, theta, p1, p2, p_theta, step):\n",
    "    ret = []\n",
    "    for i in x:\n",
    "        temp = np.log(p_x_Di(i, theta, p1, p_theta, step)) - np.log(p_x_Di(i, theta, p2, p_theta, step)) + np.log(P_apriori1) - np.log(P_apriori2)\n",
    "        ret.append(temp)\n",
    "    return ret"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Applying**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#This code block might take a while.. :)\n",
    "h1 = predict(D1, theta, p1, p2, p_theta, step) # predict function for the first set of samples\n",
    "h2 = predict(D2, theta, p1, p2, p_theta, step) # predict function for the second set of samples\n",
    "# defining the classification boundary\n",
    "discrimination_line = [0 for _ in range(len(X))]\n",
    "# computing the h function to plot it\n",
    "begin = -5\n",
    "end = 5\n",
    "x_axis = np.arange(begin, end, step)\n",
    "h = predict(x_axis, theta, p1, p2, p_theta, step)"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Plotting**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the computed pdfs\n",
    "fig = plt.figure(figsize=(20, 10))\n",
    "ax = plt.axes()\n",
    "ax.set_facecolor(\"black\")\n",
    "plt.scatter(D1, h1, color=\"green\")\n",
    "plt.scatter(D2, h2, color=\"red\")\n",
    "plt.plot(X, discrimination_line, color=\"white\", alpha=0.8)\n",
    "plt.plot(x_axis, h, alpha=0.8)\n",
    "plt.title(\"Classification based on given discrimination function\")\n",
    "plt.xlabel(\"x index\")\n",
    "plt.ylabel(\"h(x)\")\n",
    "plt.grid(color=\"white\", linestyle=\"--\", alpha=0.3)\n",
    "plt.legend([\"class ω1\", \"class ω2\", \"classification boundary\", \"h(x)\"])\n",
    "plt.show()"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# **Results and comments**\n",
    "\n",
    "* ## We observe that for values of $h(x)$ greater than the decision threshold (h(x) = 0) the bayes estimation method classifies a sample in the first class $ω_1$, while in the opposite case the sample is classified in class $ω_2$. It is obvious that the Bayes estimation method is more efficient than the maximum likelihood estimation. This makes sense if we take into consideration the results of the previous query, namely the smallest variances and the very small overlapping."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
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