{
"cells": [
{
"cell_type": "markdown",
"source": [
"<a href=\"/assets/tutorial07_code.ipynb\" class=\"link-button\">Download</a>\n",
"<a href=\"https://colab.research.google.com/github/technion046195/technion046195/blob/master/content/tutorial07/code.ipynb\" target=\"_blank\">\n",
"<img src=\"../assets/colab-badge.svg\" style=\"display:inline\"/>\n",
"</a>\n",
"\n",
"<center><h1>\n",
"תרגול 7 - שיערוך פילוג בשיטות לא פרמטריות\n",
"</h1></center>"
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"## Setup"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"## Importing packages\n",
"import os # A build in package for interacting with the OS. For example to create a folder.\n",
"import numpy as np # Numerical package (mainly multi-dimensional arrays and linear algebra)\n",
"import pandas as pd # A package for working with data frames\n",
"import matplotlib.pyplot as plt # A plotting package\n",
"import imageio # A package to read and write image (is used here to save gif images)\n",
"import tabulate # A package from pretty printing tables\n",
"from graphviz import Digraph # A package for plothing graphs (of nodes and edges)\n",
"\n",
"## Setup matplotlib to output figures into the notebook\n",
"## - To make the figures interactive (zoomable, tooltip, etc.) use \"\"%matplotlib notebook\" instead\n",
"%matplotlib inline\n",
"\n",
"## Setting some nice matplotlib defaults\n",
"plt.rcParams['figure.figsize'] = (4.5, 4.5) # Set default plot's sizes\n",
"plt.rcParams['figure.dpi'] = 120 # Set default plot's dpi (increase fonts' size)\n",
"plt.rcParams['axes.grid'] = True # Show grid by default in figures\n",
"\n",
"## Auxiliary function for prining equations, pandas tables and images in cells output\n",
"from IPython.core.display import display, HTML, Latex, Markdown\n",
"\n",
"## Create output folder\n",
"if not os.path.isdir('./output'):\n",
" os.mkdir('./output')"
],
"metadata": {},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"## Ex 5.3"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"dataset = pd.DataFrame([\n",
" [1, 0],\n",
" [7, 0],\n",
" [9, 0],\n",
" [12, 0],\n",
" [4, 1],\n",
" [4, 1],\n",
" [7, 1],\n",
"], columns=['x', 'y'])\n",
"\n",
"display(HTML(dataset.T.to_html()))"
],
"metadata": {},
"execution_count": null,
"outputs": [
{
"data": {
"text/html": [
"<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",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>x</th>\n",
" <td>1</td>\n",
" <td>7</td>\n",
" <td>9</td>\n",
" <td>12</td>\n",
" <td>4</td>\n",
" <td>4</td>\n",
" <td>7</td>\n",
" </tr>\n",
" <tr>\n",
" <th>y</th>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
]
},
{
"cell_type": "markdown",
"source": [
"### Section 2"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'Historgram for $\\hat{p}_{x|y}(x|0)$')\n",
"ax.hist(dataset.query('y==0')['x'].values, bins=[0,5,10,15], density=True)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_5_3_1_hist_y_0.png')\n",
"\n",
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'Historgram for $\\hat{p}_{x|y}(x|1)$')\n",
"ax.hist(dataset.query('y==1')['x'].values, bins=[0,5,10,15], density=True)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_5_3_1_hist_y_1.png')"
],
"metadata": {},
"execution_count": null,
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAjIAAAHWCAYAAABt8WNQAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAABJ0AAASdAHeZh94AAA1B0lEQVR4nO3deZhkVX3/8fcXhBky7SCIyCJklEXGhYCBRowKGEGNJGqCa2QLgpEYFZWoRAUlgaj4w5VEFIMYE2VJxChEEsOiUadBRRZZRCWDzgxrcOhxBmXm+/vj3tKamqpepqu76lzer+ep506fe8+951RNV3363HNvRWYiSZJUok0G3QBJkqSNZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpI0xCLihIg4YdDtkIbVIwbdAElSdxHxWuD0+t+rMvPsATdJGjqRmYNugySpQ0Q8Afg+8Gaq0fMzgD0z8ycDbZg0ZAwykjRkImIT4ArgR5l5dF12HvDbwEGZuW6AzZOGinNkpDkQEYsiIiPi3EG3Rd1FxBsi4gcRsbp+rd40qLZk5rrMfHYrxNRlR2TmAXMZYiLiMxFxV0QsmOF+Tqmf00V9aNPv1vt6zUz3pWYwyEjTUL+BTjiMGRG39+tNu22fBqFZFBGvAD4MrAE+BLwH+PYg2zRoEbEvcDjwd5m5apaP9biI+HRELIuIB+vfoQ9FxFad22bmd4AvAqdGxMhstktlcLKvNDd+BiwGfj7ohqirQ1vLzFw20JYMj78FVgJ/P5sHiYhdgG8C2wIXAzcDo8AbgedHxO9l5r0d1U4HlgBvAE6bzfZp+DkiI82BzPxVZt6cmcsH3RZ1tQOAIaYSEbsDzwXOz8zVs3y4s6hCzBsy88WZ+fbMfA5wJvBEqkC1nswcowo8r63nE+lhzP8A0hzodWooIv4oIr4WEcvrIfVlEXFlRBzfts0pQOtKlSNbp7fqx1Ft270sIq6KiJ/X8zyuj4h3RMS8idoTEbtHxBfquRDrIuLAepuIiDfW80bWRMTPIuJjEbFlPfR/+0bs86iIuCgifly3cWVE/E9EvHqSNu4SERdGxL0R8UBEXBYRT6m3e0xEnF0/h2si4uqIOGiKr8sp9anCg+qff/3cdmw3ped2Ks/BJO3Zv67/0Yh4ZUR8vT7mgxExNtV+9cGfAQF8oUc7L6vb+Scd5VH3PSPi7yY7SD0acwhwO/DxjtUnA6uAw6P7HJ3PAzsDB092HDWbp5akAYmI44BPACuAfwfuofrLdE/gaKq/VKG6euVRVEPt36eaH9Bybb2v04B31Pv4Z2AceAHVsPvzIuKQzPxll2bsQjVEfyvwOWALqtMJUH2wvA5YBpwN/BL4I6ph/82AX/Xo2kT7/HvgRuAqYDnwaOAPgM9GxBMz811d9reo3t9NwLn1zy8BroiI/YH/qPf/BWBr4BXApRGxe2Yu7dHGlivq5VFUVwS9p3ODjXxuJ3oOJvK79fK5VM/9V4B/AJ5Wl11SP0+T9Wumnguspfc8oROB71LNU/liZq6ty88AjgTOzsy3T+E4rWB2Weck5sx8ICL+hyroPB34Wkfd/6mXBwNfncKx1FSZ6cOHjyk+gKwfp0zwuL/eZlFbvUV12bltZd8BHgS27XKcbTp+3qB+27r963VLge3ayh9BFZASOKnH/hI4rcs+n1WvuwV4VFv55lQhJIHbp7PPeptdupRtTvUh9Stgxx77++uOOu+qy++j+qDfpG3d4fW6M6fxul5RvR3O7LmdynMwSTs+Xdf9OfDMjnUfqdedMcv/xxcADwHXT7LduXV7jqp/Pqn++Qvtr0e97pTO34m6/AN1+Vt6HONj9frXdVm3Zb1ubDafDx/D/xh4A3z4KOnR9iE1lceitnqtD7hz28q+QzV0vtUUjrtB/bZ1n6zXHddl3e5Uf1n/uMf+VgDzutT7VL3+iC7rfo+Jg0zXfU7Svz/uPF7b/n4CbNqx/c71ulXAIzvWbUoVii6fxvGvoHuQmdZzO5PnoK5/7QTP+571ukumsb8DO1+nKdTZvT7OZZNstxOwun59Xl/X+Q9g8y7bntL5O1GXn12Xv6bHMf62Xv+OHutXAyum+zz7aNbDOTLSRsjM6PUA/neKu/kc8FvADyLizIh4cUQ8ZiOa87R6+d9d2nkr8FPg8RGxZZe638/MB7uU710vv9Fl3bep/mLvpdc+iYidI+LjEXFzRPyibT7KRfUmO3apdm3+5tRFS2tS7q2Z+UD7inrbO4HHTdDGqdrY57bnc9BLPd/mScAdwD912aR15c5m09nvRnh0vfy/iTbKzDuoLlVfBHyU6sqjP87upzBny33ANnN4PA0h58hIA5KZ/y8i7gGOp7qM9E1ARsSVwImZec0Ud9X6EO11RdRyqhGMR7Hh5d8rJtnnnV3avTYiOi+HnXSfUd1yfwzYCvg6cFndnrVUH4ZHAhtMTO7SZjLzoYjouq72EP35wN/Y57bX8zqRp1K1+avZ/aZ3i+rlbM+PaV2lNH8K297d9u9jMvMX0zxW6znrFrLby+/vsX4LftNePUw5IiMNUGael5lPp/or+IXAOcCzga9OY3Sm9WGwXY/123dst14TetRpTUx9bOeKiNiU3/zV3k2vfb65rndMZh6YmW/IzHdl5ikM72TNjX1uez0HE2mN/tzeY/0L6+VlrYKIOKy+oum328o+HBE/iogNXrt6/U8j4s0dZU+tr/h6EnBXXTzRa0xEvIpqcm8rtL1xou17uKVe7t5j/W718tYux9+EKkDe1blODy8GGWkIZOb9mXlJZh5LNYlya6pA09I6tbJpl+rfq5cHdq6IiF2pTrH8JDPvn0aTWvt8Zpd1T2fjRnN3rZcXdVl3wEbsby7MxnPbSyvIPKrLsbYGjqM67XRx26qLgOuBd9bbvRV4JfD8zNxgNK32LWDfjrIPAZ/KzB9QjTLdTXUPl64i4g+o/p/eQDV35xbgNRHRs04Pl9fLQ6LjfjAR8Uiq+Vi/oPvVU0+kukT82mkeUw1jkJEGJCIOivr8SIdt62X7MP3/Uf2Vv3OX7T9dL9/ZPopTj5ycQfV7fs40m3devfzr9vkfEbE5G38n1dvr5YHthRHxPGBYvzdnNp7bXlqXXh/Wft+UqG7D/89UIyRvysw1rXWZmVRXCx0VEW8H3g28MDN/OMFx1gsyEfFiqjlRJ7ft8ypgmzqsrScinglcSDU/6HmZeTdVkHoE8L7pdDgzf0Q1wrQI+IuO1e+huoLqs9n9KxKeXi8v77JODyPOkZEG59+A8Yj4NtWHfFBd9rwv1RVN/9XaMDPHI2IJ8KyI+BzVUPta4EuZ+c2IeD/wV8ANEXEh1dU8LwCeQjVh9wPTaVhmXhkRZ1ONAtwYERdRXQn0h1SnUZYB0/3ywrOo7o9zQd3GZXX7ng+cD7x8mvubdbPx3HYTEY+gmiPzfap5IddFxJeo5gy9iOrOw+/IzH/t0sbLIuJq4G+AP8zMqyc53LeBD9ajPKuoAtl7c/2vAbgI+BPgecBtbe3cC/gy1f+Bg7O+U3VmXhgR1wAviohnZebXp9H946kmCn8kIn6f6n5B+1HdY+ZW4K971DuE6nfg4h7r9TDhiIw0OG8HrqY6pXA81Yf8ZsDbgIMys/OGc4dT3SDt+VR/PZ9a1yUz30Z1SuGHwBFUk4c3ofpL+eCNvJLkdVTzWsaBPwdeRRWuDgYWMrUbvP1aZl5H9eH0Tar5Hq+r9/PHVPeCGUqz9Nx2ejJVaPkW1Qf0rcAxVK/5TVQjH13vlBsRzwF+hyoI9zqd1O47VDc33IdqgvlDbHhX3Yuo5p4c0XacXakur866PT/qqPOOejnd0Pyjui3nUgWYt1DdUPDDwNNzw+9Zoh4lfDHw5frqKT2MRTWKKElTExG7UX3Qfj4zXzno9jRBRBxNdRrrtZl59jTq/Q7VaaATqMLhSGY+r239gVT3HlrUUe/bVCH6SOBVmfnlLvt+B9VpxKdl5vc6109HVF+zcTLw+My8fSb7qvf3l1Q3CHxWZna7RYAeRhyRkdRVRGzXZQLmb1FNDIXq1Jj6ozXRd8qBob5S6VLgg5n5aaqgcPBUvtOJauTnL4BvdQsxtTOpLvV+71TbNBciYguq0Z+LDDEC58hI6u1NwCsj4gqqK1m2A36f6kqdS4ELBtay5nka9dcCTGXjen7LfwD/npnvBcjMGyLiAuB0qq9WmMi1VHOc3txrg8xcExGHAwdFxIIeE24HYRHVHYHPHWwzNCwMMpJ6+U+quReHUF0O/hDVKaWPAB9Kz0v3RT3q9TvALe1XJE0kM+8DFncpn+qE6VcDn8jMGyc5zlVUp66GRmbeRPWVBxJgkJHUQ2Z+jQ2/cVh9Vt/Fd2S2j1MHpsdQfdP3U4CXzfYx21xRL++fw2PqYcIgI0kPD8+m+s6oW4A/ycwJv0upnzLzCn4TZqS+MshIUnPdTj05uw4TXuChxvHya0mSVCxHZPqsvlHTAVTfiTKXX2cvSVLpNgd2Aq7MzF7fbr8eg0z/HYC3zJYkaSZeBHxpKhsaZPrvDoAvfvGL7LrrBt+3tlHGx8cZGxtjdHSUkZFZv7hhIJreR/tXvqb3sen9g+b3sQn9u+2223jxi18M9WfpVBhk+u+XALvuuitPfvKT+7LDlStXsmLFChYvXszChQv7ss9h0/Q+2r/yNb2PTe8fNL+PDevflKdmOINdkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBVrqINMRMyLiPdFxLKIWB0RSyLi4CnUe2JEnBkR34yINRGREbFogu3/KCK+W2+7NCLeExHe9ViSpCE31EEGOBd4M/A54I3AWuCSiHjmJPX2B94APBK4aaINI+IFwBeB+4G/rP/9TuCjG91qSZI0J4Z21CEiRoFXACdm5hl12XnADcD7gWdMUP1LwKMy84GIeCuw1wTbngFcBxySmQ/Vx1kJnBQRH87Mm2fcGUmSNCuGeUTmMKoRmLNbBZm5BjgH2D8idupVMTPvy8wHJjtARDwJeBJwdivE1M4Com6DJEkaUsMcZPYGbs3MlR3lY/Vyrz4dA+Ca9sLMXAb8tG29JEkaQkN7agnYHljepbxVtkOfjtG+z87jTHiMiNgWeExH8S4A4+PjrFzZmcE2zqpVq9ZbNlHT+2j/ytf0Pja9f9D8Pjahf+Pj49OuM8xBZgvgwS7la9rW9+MYTHCchZPUPx44uduKsbExVqxYMYOmdd9n0zW9j/avfE3vY9P7B83vY8n9W7p06bTrDHOQWQ3M61I+v219P47BBMeZ7BhnARd0lO0CXDw6OsrixYtn2LzKqlWrGBsbY3R0lAULFvRln8Om6X0cRP8OOfOqOTkOwDbzk2P3WMcnb96Ee9bEnB13LjW9j63+NfV3EHyfKcFNN014oXFXwxxklgM7dilvnQ5a1qdjtPZ5R5fjTBhrM/Mu4K72sojqDW5kZISFCycb0JmeBQsW9H2fw6bpfZzL/q1YPfcftvesiYEcdy41vY9N/x2E5vex5P6NjIxMu84wT/a9Ftg9Ijpfjf3a1vfjGAD7tBdGxA7A4/p0DEmSNEuGOchcCGwKHNcqiIh5wNHAksy8oy7bOSL22JgDZOaNwM3AcRGxaduq1wFZt0GSJA2poT21lJlLIuIC4PT66qDbgCOBRcAxbZueBxxAdd8XACJiS6q79AL8Xr18fUTcD9yfmR9rq38i1Q30LouIzwNPAV4PfCozp3+yTpIkzZmhDTK1I4BTgcOBrajuwHtoZk42i3Grul67t9TL/wV+HWQy88sR8cdUVx99FLgbOA1474xbL0mSZtVQB5n6Tr4n1o9e2xzYpex22kZopnCcL1J9x5IkSSrIMM+RkSRJmpBBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWEMdZCJiXkS8LyKWRcTqiFgSEQdPse6OEXF+RNwfESsj4uKIeEKX7baMiPdHxA/rY/xvRJwTETv3v0eSJKmfHjHoBkziXOAw4EPAD4GjgEsi4qDM/EavShExAlwObAmcBvwKOAG4MiL2ysx76+02Af4TeBJwFnArsCtwPPC8iFicmQ/MSs8kSdKMDW2QiYhR4BXAiZl5Rl12HnAD8H7gGRNUPx7YDRjNzKvrupfWdd8CnFRv93RgX+D1mfnxtmPfAnwaeC7wb33sliRJ6qNhPrV0GLAWOLtVkJlrgHOA/SNip0nqXt0KMXXdm4GvAS9r225hvbyzo/7yerl645ouSZLmwjAHmb2BWzNzZUf5WL3cq1ul+nTRnsA1XVaPAbtExCPrn68BVgGnRsRz6nk1B1CN+FwN/NfMuiBJkmbT0J5aArbnNyMj7VplO/SotzUwbwp1b8nMeyLi5cAnqUZrWr4KHJaZD03UwIjYFnhMR/EuAOPj46xc2ZnBNs6qVavWWzZR0/s4iP5tt0XO2bG2mZ/rLZuo6X1s9aupv4Pg+0wJxsfHp11nmIPMFsCDXcrXtK3vVY9p1L0b+B7wMeBGqpGevwL+EXjpJG08Hji524qxsTFWrFgxSfXpGRsbm3yjwjW9j3PZv3fsNWeH+rVj91g39wedY03vY9N/B6H5fSy5f0uXLp12nWEOMqupRlY6zW9b36seU6lbX459OXBEZl5Ur7s4Im4Hzo2IF2TmpRO08Szggo6yXYCLR0dHWbx48QRVp27VqlWMjY0xOjrKggUL+rLPYdP0Pg6if4ecedWcHAeqv+aP3WMdn7x5E+5ZE3N23LnU9D62+tfU30HwfaYEN91007TrDHOQWQ7s2KV8+3q5rEe9+6hGY7bvsq6z7lFU4ebLHdt9qV7+HtAzyGTmXcBd7WUR1RvcyMgICxcu7FZtoy1YsKDv+xw2Te/jXPZvxeq5/7C9Z00M5Lhzqel9bPrvIDS/jyX3b2RkZNp1hnmy77XA7hHR+Wrs17Z+A5m5Drge2KfL6v2AH7fdG+axQACbdmy3Wb0c5qAnSdLD3jAHmQupAsZxrYKImAccDSzJzDvqsp0jYo8udfeNiH3a6j4ReA7rnwq6lSrIvGz96ryyXn6vD/2QJEmzZGhHHDJzSURcAJxeXx10G3AksAg4pm3T84ADqAJJy1nAscBXIuIMqjv7vpnqfjEfbNvuXOCtwCciYm+qyb5PA15T/9ub4UmSNMSGNsjUjgBOBQ4HtgKuAw7NzAlnMWbmAxFxIHAm8E6qkacrgBMy8+627e6tR23eC/wh8OfAvVR39T0pM3/Z5/5IkqQ+GuogU9/J98T60WubA3uU/5TJL58mM3/G+iM8kiSpEMM8R0aSJGlCBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGINdZCJiHkR8b6IWBYRqyNiSUQcPMW6O0bE+RFxf0SsjIiLI+IJPbZ9bER8IiJ+FhFrIuL2iDinv72RJEn99ohBN2AS5wKHAR8CfggcBVwSEQdl5jd6VYqIEeByYEvgNOBXwAnAlRGxV2be27btTsD/1D/+A/AzYAdgtM99kSRJfTa0QSYiRoFXACdm5hl12XnADcD7gWdMUP14YDdgNDOvruteWtd9C3BS27afAB4C9m0POJIkafgN86mlw4C1wNmtgsxcA5wD7F+PpExU9+pWiKnr3gx8DXhZqywi9gBeAHwgM++NiPkRsVl/uyFJkmbLMAeZvYFbM3NlR/lYvdyrW6WI2ATYE7imy+oxYJeIeGT983Pr5Z0R8TVgNbA6Ii6NiEUzaLskSZoDQ3tqCdgeWN6lvFW2Q496WwPzplD3FqrTT1CN+lwNvBzYGTgZ+K+I2DMzf9GrgRGxLfCYjuJdAMbHx1m5sjODbZxVq1att2yipvdxEP3bboucs2NtMz/XWzZR0/vY6ldTfwfB95kSjI+PT7vOMAeZLYAHu5SvaVvfqx5TrDtSL1cAL8zMdQAR8VPgX4BXAZ+aoI3HU4WeDYyNjbFixYoJqk7f2NjY5BsVrul9nMv+vWOvOTvUrx27x7q5P+gca3ofm/47CM3vY8n9W7p06bTrDHOQWU01stJpftv6XvWYYt3W8vxWiKldAHyWakLxREHmrHrbdrsAF4+OjrJ48eIJqk7dqlWrGBsbY3R0lAULFvRln8Om6X0cRP8OOfOqOTkOVH/NH7vHOj558ybcsybm7Lhzqel9bPWvqb+D4PtMCW666aZp1xnmILMc2LFL+fb1clmPevdRjcZs32VdZ93W8s72jTJzbUTcC2w1UQMz8y7grvayiOoNbmRkhIULF05UfdoWLFjQ930Om6b3cS77t2L13H/Y3rMmBnLcudT0Pjb9dxCa38eS+zcyMjL5Rh2GebLvtcDuEdH5auzXtn4D9cjK9cA+XVbvB/w4Mx+of/5OvVwvMEXE5sA2wN3TbrUkSZozwxxkLgQ2BY5rFUTEPOBoYElm3lGX7VxfRt1Zd9+I2Ket7hOB57D+qaArqEZU/jQi5reVH1Uf+z/71RlJktR/Q3tqKTOXRMQFwOn11UG3AUcCi4Bj2jY9DzgAaB/rPQs4FvhKRJxBdWffN1OdQvpg2zEejIgTgc8AV0XEZ6muWnoj8HXgX2end5IkqR+GNsjUjgBOBQ6nmq9yHXBoZk44izEzH4iIA4EzgXdSjTxdAZyQmXd3bHteRPwSeDvwAeB+qrv9npSZa/vYF0mS1GdDHWTqO/meWD96bXNgj/KfAi+d4nE+D3x+I5ooSZIGaJjnyEiSJE3IICNJkoplkJEkScUyyEiSpGIZZCRJUrE2OshExGkRsWc/GyNJkjQdMxmReTvwlNYPEfHoiFgbEc+ZebMkSZIm1+9TS839JjVJkjR0nCMjSZKKZZCRJEnFmulXFCyKiKfV/96yXu4WEfd32zgzvzvD40mSJP3aTIPMqfWj3VldtgsggU1neDxJkqRfm0mQObpvrZAkSdoIGx1kMvMz/WyIJEnSdDnZV5IkFWvGQSYiHhsRp0bEkoi4JyIerJffjohTImLbfjRUkiSp04wm+0bEQcCFwFbAauBWYBwYAZ4KjAJ/EREvycxvzLCtkiRJ65nJdy1tA5wP/Ap4FbBlZu6dmc/KzL2pLsf+U2AdcFFEPLofDZYkSWqZyamlY4GFwMGZ+fnMfKh9ZWY+lJn/AhxCNWLzmhkcS5IkaQMzCTKHAP+emddPtFFmfh/4EvD8GRxLkiRpAzMJMouBb05x2/+pt5ckSeqbmQSZRwF3T3Hbe+vtJUmS+mYmQWZzYO0Ut10LbDaDY0mSJG1gpt+1tE9ErJnCdvvO8DiSJEkbmGmQeVP9mIqc4bEkSZLWM5Mgc1DfWiFJkrQRZvKlkVdGxHzgRcDjqSb0fjkzl/ercVrfIWdexYrVMehmzIrttkjesVdz+9j0/qk5mvx/tOm/h4Po3+1/98I5Oc5ENjrI1N+h9E2qENN6xlbVX0fwX/1onCRJ0kRmctXSu4BFwJnAoVRzZdYAn5hxqyRJkqZgJnNkDgHOy8y3tgoi4k7gnyPiiZl5y4xbJ0mSNIGZjMjsDHR+o/U3qE4zPXYG+5UkSZqSmQSZeVSnktq1fp7pZd2SJEmTmmngWBQRT2v7ect6uVtE3N+5cWZ+d4bHkyRJ+rWZBplT60enszp+Dqob4m06w+NJkiT92kyCzNF9a4UkSdJGmMkN8T7Tz4ZIkiRN10wm+0qSJA2UQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKNdRBJiLmRcT7ImJZRKyOiCURcfAU6+4YEedHxP0RsTIiLo6IJ0xS55kRkfVjm/70QpIkzZahDjLAucCbgc8BbwTWApdExDMnqhQRI8DlwAHAacDJwN7AlRHx6B51NgE+CqzqV+MlSdLsGtogExGjwCuAd2TmiZl5NvAc4H+B909S/XhgN+DQzHx/Zp4JHAJsD7ylR53jgJ2AT/Wj/ZIkafYNbZABDqMagTm7VZCZa4BzgP0jYqdJ6l6dmVe31b0Z+Brwss6NI2Jr4G+AdwP396PxkiRp9g1zkNkbuDUzV3aUj9XLvbpVqk8R7Qlc02X1GLBLRDyyo/xUYAXwiY1urSRJmnOPGHQDJrA9sLxLeatshx71tgbmTaHuLQARsSfwWuAPMnNtREy5gRGxLfCYjuJdAMbHx1m5sjODbZxVq6ppO9vMz77sbxi1+tbUPtq/8jW9j03vHzS/j4PoX78+51rGx8enXWeYg8wWwINdyte0re9Vj2nU/QhwaWZeNu0WVnNxTu62YmxsjBUrVmzELns7do91fd3fMGp6H+1f+Zrex6b3D5rfx7ns3+WXX97X/S1dunTadYY5yKymGlnpNL9tfa96TKVuRLwceAbwlI1s41nABR1luwAXj46Osnjx4o3c7fpWrVrF2NgYn7x5E+5ZM/URo5JsMz85do91je2j/Stf0/vY9P5B8/s4iP5ddsKz+7q/m266adp1hjnILAd27FK+fb1c1qPefVSjMdt3WddZ9wNUQeSXEbGoLntUvdwpIjbPzF7HITPvAu5qL2udmhoZGWHhwoW9qm6Ue9YEK1Y375evXdP7aP/K1/Q+Nr1/0Pw+zmX/+v05NzIyMu06wxxkrgUOioiFHRN+92tbv4HMXBcR1wP7dFm9H/DjzHyg/nkn4FX1o9N3ge/TY1KxJEkavGG+aulCYFOq+7sA1Z1+gaOBJZl5R122c0Ts0aXuvhGxT1vdJ1Ldh6b9VNBLujy+UK87Ajihnx2SJEn9NbQjMpm5JCIuAE6vrw66DTgSWAQc07bpeVR38G0fRzsLOBb4SkScAfyK6g7BdwIfbDvGFzuPGxF71f+8NDPv6VN3JEnSLBjaIFM7guoeL4cDWwHXUd2t96qJKmXmAxFxIHAm8E6qkacrgBMy8+5ZbK8kSZpDQx1k6jv5nlg/em1zYI/ynwIv3YhjngKcMt16kiRp7g3zHBlJkqQJGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoo11EEmIuZFxPsiYllErI6IJRFx8BTr7hgR50fE/RGxMiIujogndGyzU0ScHBFjEfF/EXFPRFwREc+dnR5JkqR+GuogA5wLvBn4HPBGYC1wSUQ8c6JKETECXA4cAJwGnAzsDVwZEY9u2/RFwNuA24B3AqcCjwT+MyKO7mtPJElS3z1i0A3oJSJGgVcAJ2bmGXXZecANwPuBZ0xQ/XhgN2A0M6+u615a130LcFK93eXAzpl5T9tx/wG4Fngv8I997JIkSeqzYR6ROYxqBObsVkFmrgHOAfaPiJ0mqXt1K8TUdW8Gvga8rK3sxvYQU5c9CFwCPC4iHtmPjkiSpNkxzEFmb+DWzFzZUT5WL/fqVikiNgH2BK7psnoM2GUKAWU74Bf1Q5IkDamhPbUEbA8s71LeKtuhR72tgXlTqHtLt8oRsSvwx8AFmbl2ogZGxLbAYzqKdwEYHx9n5crODLZxVq1aBcA287Mv+xtGrb41tY/2r3xN72PT+wfN7+Mg+tevz7mW8fHxadcZ5iCzBfBgl/I1bet71WNj6kbEbwEXAKuBt0+hjcdTTSTewNjYGCtWrJjCLqbu2D3W9XV/w6jpfbR/5Wt6H5veP2h+H+eyf5dffnlf97d06dJp1xnmILOaamSl0/y29b3qMd26EbEp8HngScALMnPZFNp4FlXwabcLcPHo6CiLFy+ewi4mt2rVKsbGxvjkzZtwz5royz6HzTbzk2P3WNfYPtq/8jW9j03vHzS/j4Po32UnPLuv+7vpppumXWeYg8xyYMcu5dvXy15B4z6q0Zjtu6ybqO4ngUOBP83M/55KAzPzLuCu9rKI6j/PyMgICxcunMpupuyeNcGK1c375WvX9D7av/I1vY9N7x80v49z2b9+f86NjIxMu84wT/a9Ftg9Ijqfpf3a1m8gM9cB1wP7dFm9H/DjzHygvTAiPgAcDZyQmf8ygzZLkqQ5NMxB5kJgU+C4VkFEzKMKHEsy8466bOeI2KNL3X0jYp+2uk8EnkPHqaCIOBF4K3BaZn54NjoiSZJmx9CeWsrMJRFxAXB6fXXQbcCRwCLgmLZNz6O6g2/7ONpZwLHAVyLiDOBXVHcIvhP4YGujiHgJ1c31fgjcFBGv7mjGf2bmnf3slyRJ6p+hDTK1I6i+NuBwYCvgOuDQzLxqokqZ+UBEHAicSfXVA5sAV1CdOrq7bdPfqZe7AZ/tsquDqMKPJEkaQkMdZOo7+Z5YP3ptc2CP8p8CL51k/6cAp2x0AyVJ0kAN8xwZSZKkCRlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMJEkqlkFGkiQVyyAjSZKKNdRBJiLmRcT7ImJZRKyOiCURcfAU6+4YEedHxP0RsTIiLo6IJ/TY9piIuCki1kTEDyPiL/vbE0mSNBuGOsgA5wJvBj4HvBFYC1wSEc+cqFJEjACXAwcApwEnA3sDV0bEozu2fS3wKeBG4C+BbwEfiYi39bUnkiSp7x4x6Ab0EhGjwCuAEzPzjLrsPOAG4P3AMyaofjywGzCamVfXdS+t674FOKku2wL4W+ArmXlYXfeTEbEJ8K6IODsz/6/vnZMkSX0xzCMyh1GNwJzdKsjMNcA5wP4RsdMkda9uhZi67s3A14CXtW13EPBo4KyO+h8HFgAvnEkHJEnS7BrmILM3cGtmruwoH6uXe3WrVI+m7Alc02X1GLBLRDyy7Rh02fY7wLq29ZIkaQgN7aklYHtgeZfyVtkOPeptDcybQt1b6mOszcy72jfKzF9GxL0THAOAiNgWeExH8R4A1113HePj4xNVn7LVq1ezdOlS5v18ExY+2JddDp15v4SlS9c1to/2r3xN72PT+wfN7+Mg+rdkyZK+7u/HP/5x65+bT7XOMAeZLYBuL8WatvW96jHFulsAv+yxnzUTHKPleKqJxBt41ateNUlVdbpq0A2YZfavfE3vY9P7B83v41z37+mdEzP6Zyfge1PZcJiDzGqqkZVO89vW96rHFOuupnfqmz/BMVrOAi7oKBsBdqeaWNwrJE3XLsDFwIuAH/Vpn8Om6X20f+Vreh+b3j9ofh+b0L/NqULMlVOtMMxBZjmwY5fy7evlsh717qMajdm+y7rOusuBTSNi2/bTSxGxOdUk4F7HAKCuc1eXVX0da4uI1j9/lJk39nPfw6LpfbR/5Wt6H5veP2h+HxvUvymNxLQM82Tfa4HdI2JhR/l+bes3kJnrgOuBfbqs3g/4cWY+0LGPzm33oXpuuh5DkiQNh2EOMhcCmwLHtQoiYh5wNLAkM++oy3aOiD261N03IvZpq/tE4Dmsfyrov6lGcF7XUf91wC+Ar/SnK5IkaTYM7amlzFwSERcAp9dXB90GHAksAo5p2/Q8qjv4RlvZWcCxwFci4gzgV1R3CL4T+GDbMVZHxLuAj9fH+irwLODVwF9n5n2z1D1JktQHQxtkakcApwKHA1sB1wGHZuaEE7Mz84GIOBA4E3gn1cjTFcAJmXl3x7ZnRcSvqO74+0fAHcAJwIf72ZEZuht4T71sqqb30f6Vr+l9bHr/oPl9bHr/uorMHHQbJEmSNsowz5GRJEmakEFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWSGWETMi4j3RcSyiFgdEUsi4uBBt6tfImLfiPhYRNwYEasiYmlEnB8Ruw+6bbMlIv46IjIibhh0W/olIp4WEV+KiPsi4hcRcUNEvGHQ7eqXiNgtIj4fET+t+3dzRLw7In5r0G2bjogYiYj3RMR/1K9VRsRRPbZdXG83Xm/72Yh4zBw3edqm0seI2CQijqr/z95Rv/fcEBHvjIj5PXY9FKbzGrbV2SwiflBv+9Y5auqcGvb7yDzcnQscBnwI+CFwFHBJRByUmd8YXLP65m3A71Hdbfk6YDvg9cB3I+LpmdmYD3uAiHgccBKwatBt6ZeIOAT4d6rvRjkVGKf64rrHDbJd/RIROwFjwM+Bj1HdCXx/qnt1/C7Vl/OVYhvg3cBS4PvAgd02qv+fXkXV55Oovgj3rcBTI2I0M/v1ZbizYSp9/C3gH4FvA/9A9X15rdf09yPiOTm89yWZ0mvY4S+BnWexTYOXmT6G8AGMAgm8ta1sPtUdjr856Pb1qY/PADbvKNsNWAP806DbNwv9/TzwNaqbM94w6Pb0oT8LgRXAvwKbDLo9s9THk+rfwyd3lH+mLt9q0G2cRl/mAdvV/96nbv9RXbY7i+orWnZuK3tuvf1xg+7HTPtI9e3Kz+hS99319s8ddD9m+hq2bb8tcD/wrs7PkyY9PLU0vA4D1gJntwoycw1wDrB//Zdi0TLzm9nx111m/hC4EVg8mFbNjoh4NtVr+qYBN6WfXgU8lurrPNZFxIKIaNp7SutLa+/sKF8OrAOGeXRiPZn5YGaumMKmfwJ8OTOXttX9L+BW4GWz1b5+mEofM/OXmfnNLqv+rV4O7XvPNF7Dlr8DbgH+aZaaNBSa9qbTJHsDt2bmyo7ysXq519w2Z25E9T30jwXuGXRb+iUiNgU+CnwqM68fdHv66LnASmDHiLiF6rTSyoj4+2GfazANV9TLcyJir4jYKSJeTvXFsh/JzMacJgSIiB2p/oq/psvqMar3pabarl424r0nIkapvp/wTVSjMY1lkBle21P91depVbbDHLZlLv0psCPwhUE3pI/+HPhtquHdJtmNap7dxVRfuPonwKep+vuPA2xX32Tmf1C9bgdTzQNaSnWK8KOZecIg2zZLtq+Xvd57to6IeXPYnrn0V1TB/NJBN2Sm6j8IPwp8ITO/Nej2zDYn+w6vLYAHu5SvaVvfKBGxB/Bx4FtUcxCKFxGPBt4LnJodX1jaACNUEyf/ITNbVyn9a0RsDrw2It5dnyos3e1Uk18vAu4FXgicFBErMvNjg2zYLGi9r0z23tNtfbEi4iSqEcbjM/P+ATenH44Cnkp1OrvxDDLDazXVxK5O89vWN0ZEbAd8hepKicMyc+2Am9Qvf0N1pctHB92QWdD6P/gvHeX/DLyW6kqQooNMRLyCap7a7pn507r4X+u5QO+LiH/JzHsH18K+a72mD6f3npdT/Z6ek5l/P+j2zFRELAROBz6QmXcMuj1zwVNLw2s5vxnmbdcqWzaHbZlVEbEl1XDuo4DnZ2Yj+hYRuwHHAR8BdoiIRRGxiOoDYbP6560H2cYZar1OnRNh76qXW81hW2bL8cD32kJMy5eoRqOaNmekdUqp13vPfZnZmNGY+r5c51H9EfXnA25Ov7yV6sqsL7S957Ruh7BVXbb5wFo3Cwwyw+taYPc6Xbfbr2198epJof8O7A4cmpk/GHCT+mlHqt+xjwA/aXvsR9Xfn1Bd8lmq79TLHTvKW/O3mnAq7bHApl3KN6uXjRrVzsyfUb1u+3RZPUpD3ncAImI/qiuVrgFelpkPDbhJ/bIz1R8RN/Kb95yv1+tOqn9+0mCaNjsMMsPrQqo30ONaBfUku6OBJU0YMqyv5vkC1SmIlzZwUtoNwEu6PG6kmjT6EqrL6Ut1fr08pqP8NcBD/OaKn5LdCuzd5W7Tr6S6/Pq6uW/SrLsIOLT9Fg8R8ftU4fuCgbWqjyJiMdUozO1Uf0A16XTZR9jwPee19bpz659/MpCWzZJG/TXRJJm5JCIuAE6PiG2pboR3JLCIDT84SvVB4I+oRmS2johXt6/MzKLvfZCZ9wBf7CyPiDfV6zdYV5LM/F5EfBr4s4h4BHAl1Z1GXwqc3pBThB8AXgB8PSI+RjXZ99C67FOl9TEiXk91Crc1avaH9Z18oboS6+fAaVSv4eUR8WGqSd0nAtdTwNVok/WRKoB+lWrU4gPAC6uLfH7tR8P8R9UUXsPvAt/tqLOo/ueNpb/vdBP13f80hOrTLqcCr6b6pbsOeFdmfnWgDeuTiLgCOKDX+syMXutKVvd7m8x8yqDbMlMRsRnVcPXRVG+s/wt8PDM/NMh29VN9P45TqObDPJrqr9nPAO8v7XRERNxOdSuAbh6fmbfX2z0Z+H/AM6lu+vcV4C2Z2TkfauhM1sd6OdGIxGcy86h+tqmfpvoadtRZRNXnEzPzjFlr3IAYZCRJUrGcIyNJkoplkJEkScUyyEiSpGIZZCRJUrEMMpIkqVgGGUmSVCyDjCRJKpZBRpIkFcsgI0mSimWQkSRJxTLISJKkYhlkJElSsQwykiSpWAYZSZJULIOMpEaLiC0i4ub6sUVb+dYRsTwivhkRmw6yjZI2nkFGUqNl5mrgSGBX4G/bVn0c2BI4KjPXDqJtkmYuMnPQbZCkWRcRpwFvAw4EHgtcALwpMz88yHZJmhmDjKSHhYjYHLgGGKkfPwAOSt8EpaIZZCQ9bETEPsDVwBrgSZn5kwE3SdIMOUdG0sPJ8+rlfGC3QTZEUn84IiPpYSEi9qQajfkcsBewDfDUzPz5INslaWYMMpIaLyI2A5YAWwF7Ao+nDjWZ+WeDbJukmfHUkqSHg3dSjcL8WWY+kJnXAe8Fjo6IPxhoyyTNiCMykhotIp5GNRrz95n5hrbyTYFvATsCT87M+wfTQkkzYZCRJEnF8tSSJEkqlkFGkiQVyyAjSZKKZZCRJEnFMshIkqRiGWQkSVKxDDKSJKlYBhlJklQsg4wkSSqWQUaSJBXLICNJkoplkJEkScUyyEiSpGIZZCRJUrH+P982bp3Bnvg2AAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"cell_type": "markdown",
"source": [
"### Section 3"
],
"metadata": {}
},
{
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'Historgram for $\\hat{p}_{x|y}(x|0)$')\n",
"ax.hist(dataset.query('y==0')['x'].values, bins=np.arange(16), density=True)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_5_3_3_hist_y_0.png')\n",
"\n",
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'Historgram for $\\hat{p}_{x|y}(x|1)$')\n",
"ax.hist(dataset.query('y==1')['x'].values, bins=np.arange(16), density=True)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_5_3_3_hist_y_1.png')"
],
"metadata": {},
"execution_count": null,
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"cell_type": "code",
"source": [
"def gen_kde_square(x, x_ref, h):\n",
" pdf = np.zeros(len(x))\n",
" for center in x_ref:\n",
" pdf += (np.abs(x - center) <= (h / 2)).astype(float) / h / x_ref.shape[0]\n",
" return pdf\n",
"\n",
"h = 5\n",
"x_grid = np.arange(0, 15.1, 0.1)\n",
"for i, x in enumerate(dataset['x']):\n",
" fig, ax = plt.subplots(figsize=(3, 2))\n",
" ax.set_title('$\\phi_h(x-x^{(' + f'{i + 1}' + ')})$')\n",
" ax.plot(x_grid, gen_kde_square(x_grid, np.array([x]), h), linewidth=4)\n",
" ax.set_xlabel('x')\n",
" ax.set_ylabel('PDF')\n",
" fig.savefig(f'./output/ex_6_3_4_kernel_{i + 1}.png')\n",
" \n",
"\n",
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'KDE for $\\hat{p}_{x|y}(x|0)$')\n",
"ax.plot(x_grid, gen_kde_square(x_grid, dataset.query('y==0')['x'].values, h), linewidth=4)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_6_3_4_kde_y_0.png')\n",
"\n",
"fig, ax = plt.subplots(figsize=(5, 4))\n",
"ax.set_title(r'KDE for $\\hat{p}_{x|y}(x|1)$')\n",
"ax.plot(x_grid, gen_kde_square(x_grid, dataset.query('y==1')['x'].values, h), linewidth=4)\n",
"ax.set_xlabel('x')\n",
"ax.set_ylabel('PDF')\n",
"fig.savefig('./output/ex_6_3_4_kde_y_1.png')"
],
"metadata": {},
"execution_count": null,
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 360x240 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 600x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
]
},
{
"cell_type": "code",
"source": [],
"metadata": {},
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}