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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 2: Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we have learned in the previous chapter *classification* belongs to the field of *supervised learning*. In such problems the aim is to predict a category. Such categories can be \n",
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    "\n",
    "- ok/not ok\n",
    "- good / bad / dont't know\n",
    "- digit 0 ... / digit 9\n",
    "- etc \n",
    "\n",
    "In this chapter we introduce the core concepts of classification."
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How could we  build  a simple classifier  ?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Geometrical interpretation of feature vectors\n",
    "\n",
    "\n",
    "If you take the values of an input-feature vector you can imagine it as a point in a d-dimensional space.\n",
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    "\n",
    "\n",
    "E.g. if a data set consists of  feature vectors of length 2, you can interpret the first feature value as a x-coordinate and the second value as a y-coordinate.\n",
    "\n",
    "Labeled features then group such points to different point clouds.\n",
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    "\n",
    ""
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example\n",
    "\n",
    "For sake of simplicity we restrict our beer data set to two features: `alcohol_content` and `bitterness`.\n",
    "\n",
    "The following plot shows how these reduced feature vectors can be interpreted as point clouds. For every feature vector we color the points in green or red to indicate the according classes:"
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ffb463d2a90>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# read some data\n",
    "beer_data = pd.read_csv(\"beers.csv\")\n",
    "\n",
    "xv = beer_data[\"alcohol_content\"]\n",
    "yv = beer_data[\"bitterness\"]\n",
    "\n",
    "colors = [\"rg\"[i] for i in beer_data[\"is_yummy\"]]\n",
    "\n",
    "plt.scatter(xv, yv, color=colors, marker='.');\n",
    "plt.xlabel(\"alcohol_content\")\n",
    "plt.ylabel(\"bitterness\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This plot tells us that:\n",
    "1. The two features lack information for a 100% separation of the classes. \n",
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    "2. We could draw a line to separate most points of both clouds.\n",
    "3. Later we could use this line to make a guess for classifying a new feature vector.\n",
    "\n",
    "Eventually **classification is about finding a procedure to separate two or more point clouds.**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
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    "Now we can see how additional features can support (improve?) classification. We add the `darkness` feature as the third dimension.\n",
    ""
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   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7ffb051510b8>"
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure(figsize=(20, 7))\n",
    "\n",
    "xv = beer_data[\"alcohol_content\"]\n",
    "yv = beer_data[\"darkness\"]\n",
    "zv = beer_data[\"bitterness\"]\n",
    "\n",
    "colors = [\"rg\"[i] for i in beer_data[\"is_yummy\"]]\n",
    "\n",
    "def plot(ax):\n",
    "    ax.scatter(xv, yv, zv, c=colors, marker='.') \n",
    "\n",
    "    ax.set_xlabel('alcohol_content')\n",
    "    ax.set_ylabel('darkness')\n",
    "    ax.set_zlabel('bitterness');\n",
    "\n",
    "ax = fig.add_subplot(121, projection='3d')\n",
    "\n",
    "plot(ax)\n",
    "ax.view_init(5, 275)\n",
    "\n",
    "ax = fig.add_subplot(122, projection='3d')\n",
    "plot(ax)\n",
    "ax.view_init(5, 5);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The first view is very similar to the scatter plot before and we don't see the effects of the third feature.\n",
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    "\n",
    "The second view shows the same cube rotated by 90˚ to the left. We see that the new dimenission adds extra information which could improve separation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
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    "If we look at the beer example, we can assume that the person who rated tbe beers has preferences like, \"I don't like high alcohol content\", \"I like fruity beer\", etc."
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   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This means we could construct a score where high numbers relate to \"favorable beer\". One simple way to implement such a score is to use a weighted sum like\n",
    "\n",
    "\n",
    "     score = -0.1 * alcohol_content + 4 * bitterness + 0.8 * darkness + 1.8 * fruitiness \n",
    "\n",
    "Positive weights contribute to a heigher score and negative weights to a lower.\n",
    "\n",
    "The actual weights here are guessed and serve as an example.\n",
    "\n",
    "The size of the numbers also reflects the numerical ranges of the features: alcohol content is in the range 3 to 5.9, where as bitterness is between 0 and 1.08:"
   ]
  },
  {
   "cell_type": "code",
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   "execution_count": 15,
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   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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