{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div align='left' style=\"width:400px;height:120px;overflow:hidden;\">\n",
    "<a href='http://www.uff.br'>\n",
    "<img align='left' style='display: block;height: 92%' src='imgs/UFF.png' alt='UFF logo' title='UFF logo'/>\n",
    "</a>\n",
    "<a href='http://www.ic.uff.br'>\n",
    "<img align='left' style='display: block;height: 100%' src='imgs/logo-ic.png' alt='IC logo' title='IC logo'/>\n",
    "</a>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Machine Learning\n",
    "# 1. Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### [Luis Martí](http://lmarti.com)\n",
    "#### [Instituto de Computação](http://www.ic.uff)\n",
    "#### [Universidade Federal Fluminense](http://www.uff.br)\n",
    "$\\newcommand{\\vec}[1]{\\boldsymbol{#1}}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### About the notebook/slides\n",
    "\n",
    "* The slides are _programmed_ as a [Jupyter](http://jupyter.org)/[IPython](https://ipython.org/) notebook.\n",
    "* **Feel free to try them and experiment on your own by launching the notebooks.**\n",
    "\n",
    "* You can run the notebook online: [![Binder](http://mybinder.org/badge.svg)](http://mybinder.org/repo/lmarti/machine-learning)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "If you are using [nbviewer](http://nbviewer.jupyter.org) you can change to slides mode by clicking on the icon:\n",
    "\n",
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-3\"><span/></div>\n",
    "      <div class=\"col-md-6\">\n",
    "      <div class='well well-sm'>\n",
    "              <img src='imgs/view-as-slides.png'/>\n",
    "      </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-3\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## [Machine learning](https://en.wikipedia.org/wiki/Machine_learning)\n",
    "\n",
    "Programs with **parameters** that **automatically** **adjust** by **adapting** to previously seen **data**.\n",
    "<br/>\n",
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-3\"><span/></div>\n",
    "      <div class=\"col-md-6\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='imgs/01/machine-learning.png'/>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-3\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "* Machine learning can be considered a subfield of **artificial intelligence**...\n",
    "* ...since those algorithms can be seen as building blocks to make computers learn to behave more intelligently.\n",
    "* **Generalize** instead of that just storing and retrieving data items like a database system would do."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Machine learning: A modern alchemy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"container-fluid\">\n",
    "    <div class=\"row\">\n",
    "        <div class=\"col-md-9\">\n",
    "            <ul>\n",
    "            <li> Data is more abundant -and least expensive- than knowledge.</li>\n",
    "            <li> Professionals from various areas of industry work on a particular philosopher's stone:</li>\n",
    "            </ul>\n",
    "            <br/>\n",
    "            <h3><center>Turn data into knowledge!</center></h3><br/>\n",
    "            \n",
    "            Work in machine learning:<br/>  https://stackoverflow.com/insights/survey/2017#salary\n",
    "        </div>\n",
    "        <div class=\"col-md-3\">\n",
    "            <img src=\"https://upload.wikimedia.org/wikipedia/commons/4/40/Raimundus_Lullus_alchemic_page.jpg\"/>\n",
    "            <small>Alchemic treatise of [Ramon Llull](https://en.wikipedia.org/wiki/Ramon_Llull).</small>\n",
    "        </div>\n",
    "    </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "**Intelligent systems** find patterns and discover relations that are latent in large volumes of data.\n",
    "\n",
    "Features of intelligent systems:\n",
    "\n",
    "* Learning\n",
    "* Adaptation\n",
    "* Flexibility and robustness\n",
    "* Provide explanations\n",
    "* Discovery/creativity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Learning\n",
    "\n",
    "> Learning is the act of acquiring new, or modifying and reinforcing, existing knowledge, behaviors, skills, values, or preferences and may involve synthesizing different types of information.\n",
    "\n",
    "* Construction and study of systems that can learn from data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Adaptation\n",
    "* The environment/real world is in constant change.\n",
    "* The capacity to adapt implies to be able to modify what has been learn in order to cope with those modifications.\n",
    "* There are many real-world cases:\n",
    "    * Changes in economy\n",
    "    * Wear of mechanic parts of a robot\n",
    "* In many instances the capacity to adapt is essential to solve the problem $\\rightarrow$ *continuous learning*.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Flexibility and robustness\n",
    "* It is required to have a robust and consistent system.\n",
    "    * Similar inputs should generate consistent outputs.\n",
    "* Self-organization\n",
    "* 'Classical' approaches based on Boolean algebra and logic have limited flexibility."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Explanations\n",
    "\n",
    "* Explanations are necessary to validate and find directions for improvement.\n",
    "* It is not enough to automate the decision making process.\n",
    "    * In many context explanations are necessary: medicine, credit evaluation, etc.\n",
    "* They are important if a human expert takes part of the decission loop.\n",
    "* Machine learning can become a research tool."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Discovery/creativity\n",
    "\n",
    "* Capacity of discovering processes and/or relations previously unknown.\n",
    "* Creation of solution and artifacts.\n",
    "\n",
    "Example: Evolving cars with genetic algorithms: http://www.boxcar2d.com/."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "More formally, the machine learning can be described as:\n",
    "\n",
    "* Having a **process** $\\vec{F}:\\mathcal{D}\\rightarrow\\mathcal{I}$ that **transforms** a given $\\vec{x}\\in\\mathcal{D}$ in a $\\vec{y}$. \n",
    "* Construct on a dataset $\\Psi=\\left\\{\\left<\\vec{x}_i,\\vec{y}_i\\right>\\right\\}$ with $i=1,\\ldots,N$.\n",
    "* Each $\\left<\\vec{x}_i,\\vec{y}_i\\right>$ represents an **input** and its corresponding **expected output**: $\\vec{y}_i=\\vec{F}\\left(\\vec{x}_i\\right)$.\n",
    "* **Optimize** a **model** $\\mathcal{M}(\\vec{x};\\vec{\\theta})$ by adjusting its parameters $\\vec{\\theta}$.\n",
    "    * Make $\\mathcal{M}()$ to be as similar as possible to $\\vec{F}()$ by optimizing one or more error (loss) functions.\n",
    "\n",
    "*Note*: Generally, $\\mathcal{D}\\subseteq\\mathbb{R}^n$; the definition of $\\mathcal{I}$ depends on the problem."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Classes of machine learning problems \n",
    "\n",
    "* *Classification*: $\\vec{F}: \\mathcal{D}\\rightarrow\\left\\{1,\\ldots, k\\right\\}$; $\\vec{F}(\\cdot)$ defines 'categories' or 'classes' labels.\n",
    "* *Regression*: $\\vec{F}: \\mathbb{R}^n\\rightarrow\\mathbb{R}$; it is necessary to predict a real-valued output instead of categories.\n",
    "* *Density estimation*: predicit a function $p_\\mathrm{model}: \\mathbb{R}^n\\rightarrow\\mathbb{R}$, where $p_\\mathrm{model}(\\vec{x})$ can be interpreted as a [probability density function](https://en.wikipedia.org/wiki/Probability_density_function) on the set that the examples were drawn from.\n",
    "* *Clustering*: group a set of objects in such a way that objects in the same group (*cluster*) are more *similar* to each other than to those in other groups (clusters).\n",
    "* *Synthesis*: generate new examples that are similar to those in the training data.\n",
    "\n",
    "> Many more: [times-series](https://en.wikipedia.org/wiki/Time_series) analysis, [anomaly detection](https://en.wikipedia.org/wiki/Anomaly_detection), [imputation](https://en.wikipedia.org/wiki/Imputation), transcription, etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "##  Supervised learning\n",
    "\n",
    "* Sometimes we can observe the pairs $\\left<\\vec{x}_i,\\vec{y}_i\\right>$:\n",
    "    * We can use the $\\vec{y}_i$'s to provide a *scalar feedback* on how good is the model $\\mathcal{M}(\\vec{x};\\vec{\\theta})$.\n",
    "    * That feed back is known as the *loss function*.\n",
    "    * Modify parameters $\\vec{\\theta}$ as to improve $\\mathcal{M}(\\vec{x};\\vec{\\theta})$ $\\rightarrow$ *learning*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "An example of a supervised problem (regression)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import random\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# plt.rc('text', usetex=True); plt.rc('font', family='serif')\n",
    "# plt.rc('text.latex', preamble='\\\\usepackage{libertine}\\n\\\\usepackage[utf8]{inputenc}')\n",
    "\n",
    "# numpy - pretty matrix \n",
    "np.set_printoptions(precision=3, threshold=1000, edgeitems=5, linewidth=80, suppress=True)\n",
    "\n",
    "import seaborn\n",
    "seaborn.set(style='whitegrid')\n",
    "seaborn.set_context('talk')\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "# Fixed seed to make the results replicable - remove in real life!\n",
    "random.seed(42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "x = np.arange(100)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's suppose that we have a phenomenon such that\n",
    "$$y_\\text{real} = \\sin\\left(\\frac{\\pi x}{50}\\right)\\,.$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "y_real = np.sin(x*np.pi/50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Introducing some uniform random noise to simulate measurement noise:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "y_measured = y_real + (np.random.rand(100) - 0.5)/1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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44Yfz7LPP1kwBS3SO+jIDyC6WZe0DfA18bNt2/0YeIxO4AbgQ2AfYDnwHPANM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\nnLqa87luaZxOGDp0I//6V3vKysILSLK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Sf59+Cnfe6d/+yCPQs2fs+yMizV9GBkybBr16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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11cc5f630>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 401
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x,y_measured, marker='.', color='b', label='measured')\n",
    "plt.plot(x,y_real, color='r', label='real')\n",
    "plt.xlabel('x'); plt.ylabel('y'); plt.legend(frameon=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "We can now learn from the dataset $\\Psi=\\left\\{x, y_\\text{measured}\\right\\}$.\n",
    "* We are going to use a [support vector regressor](https://en.wikipedia.org/wiki/Support_vector_machine) from [`scikit-learn`](http://scikit-learn.org/).\n",
    "* Don't get too excited, you will have to program things 'by hand'."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Training (adjusting) SVR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "from sklearn.svm import SVR"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVR(C=1.0, cache_size=200, coef0=0.0, degree=3, epsilon=0.1, gamma='auto',\n",
       "  kernel='rbf', max_iter=-1, shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = SVR() # using default parameters\n",
    "clf.fit(x.reshape(-1, 1), y_measured)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "We can now see how our SVR models the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y_pred = clf.predict(x.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9n3/+ue2GH2DLli08/fTTmEwmW/9KSkrsrrdy5Uq6dbMvtlJfzz77LD/88AMa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8Pj848nLjpukFYkCIKgp8vRxZnLz+STA5/gROuY/Ib6BuvL1pOdmM3po05n7ti5fucpTClkw+Ge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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f75def0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 401
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y_measured, marker='.', color='blue', label='measured')\n",
    "plt.plot(x, y_pred, 'g--', label='predicted')\n",
    "plt.xlabel('X'); plt.ylabel('y'); plt.legend(frameon=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We observe for the first time an important negative phenomenon: *overfitting*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "We will be dedicating part of the course to the methods that we have for control overfitting."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SVR(C=1000.0, cache_size=200, coef0=0.0, degree=3, epsilon=0.1, gamma=0.0001,\n",
       "  kernel='rbf', max_iter=-1, shrinking=True, tol=0.001, verbose=False)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clf = SVR(C=1e3, gamma=0.0001)\n",
    "clf.fit(x.reshape(-1, 1), y_measured)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "y_pred_ok = clf.predict(x.reshape(-1, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DfMKu61yOZGRkWCdfBwQEOC2n0Who2LAhSUlJ1rU8IiIiaNu2LYcOHWLVqlVMmDABUHpK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BFBt2NoNPDhtg9ZX7re5xhZBS0gdX7XVsySXb8XNZ0TCHoj6dHpAFRHVLPwnIXYkPYMqfi4gtLn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bgbink2BE9IqmaRHALZ6ndyil7lZKNQEopT5AHxpsAxZqmnbMgHRSdNfpwBT063aqUuptpVS7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\nAQAAZiGMAAAAsxBGAACAWfwHCWGfpi0cYbgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f810780>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 401
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x, y_measured, marker='.', color='b', label='measured')\n",
    "plt.plot(x, y_pred, 'g--', label='overfitted')\n",
    "plt.plot(x, y_pred_ok, 'm-', label='not overfitted')\n",
    "plt.xlabel('X'); plt.ylabel('y'); plt.legend(frameon=True);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## What if... we don't have a label?\n",
    "\n",
    "<br/>\n",
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-3\"><span/></div>\n",
    "      <div class=\"col-md-6\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='imgs/01/balls.jpg'/>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-3\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## [Unsupervised learning](http://en.wikipedia.org/wiki/Unsupervised_learning)\n",
    "\n",
    "In some cases we can just observe a series of items or values, e.g., $\\Psi=\\left\\{\\vec{x}_i\\right\\}$:\n",
    "* It is necessary to find the *hidden structure* of *unlabeled data*.\n",
    "* We need a measure of correctness of the model that does not requires an expected outcome.\n",
    "* Although, at first glance, it may look a bit awkward, this type of problem is very common.\n",
    "    \n",
    "    * Related to anomaly detection, clustering, etc.\n",
    "    \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### An unsupervised learning example: Clustering\n",
    "\n",
    "Let's generate a dataset that is composed by three groups or clusters of elements, $\\vec{x}\\in\\mathbb{R}^2$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "x_1 = np.random.randn(30,2) + (5,5)\n",
    "x_2 = np.random.randn(30,2) + (10,0)\n",
    "x_3 = np.random.randn(30,2) + (0,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8PObMmcOcOXOIjY3FYrFQ5hQY33nnnSxYsIAYH/+exowZw3vvvYeu6yxbtozl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IAAAg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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f8cfef0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 288,
       "width": 391
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x_1[:,0], x_1[:,1], c='red', label='Cluster 1', alpha =0.74)\n",
    "plt.scatter(x_2[:,0], x_2[:,1], c='blue', label='Cluster 2', alpha =0.74)\n",
    "plt.scatter(x_3[:,0], x_3[:,1], c='green', label='Cluster 3', alpha =0.74)\n",
    "plt.legend(frameon=True); plt.xlabel('$x_1$'); plt.ylabel('$x_2$'); \n",
    "plt.title('Three datasets');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "Preparing the training dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(90, 2)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = np.concatenate(( x_1, x_2, x_3), axis=0)\n",
    "x.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DV4jbDb6FuAb6WPH+i8DX+L6/bR25iIg0nwJ1EZE9yFr7JcBvEK+OuZPzxBNLF1s+KBER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\n9Cqmb2it4S16SFwRXl3V6bun4WW81WouRRV5qhCs68y6Nlc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unJRDRNQqhaDxmY89A+1r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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f75ddd8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 270,
       "width": 373
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x[:,0], x[:,1], c='m', alpha =0.74)\n",
    "plt.title('Training dataset');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "We can now try to learn what clusters are in the dataset. We are going to use the [$k$-means clustering algorithm](https://en.wikipedia.org/wiki/K-means_clustering)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "    n_clusters=3, n_init=10, n_jobs=1, precompute_distances='auto',\n",
       "    random_state=None, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clus = KMeans(n_clusters=3)\n",
    "clus.fit(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1\n",
      " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n",
      " 2 2 2 2 2 2 0 2 2 2]\n"
     ]
    }
   ],
   "source": [
    "labels_pred = clus.predict(x)\n",
    "print(labels_pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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asZSUFF/9WzQtDhUhIqKolb+wHL4jRxpUhBIA1IQE+I4cRvmLy5uoZUREdK7R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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f7d3320>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 288,
       "width": 535
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm=iter(plt.cm.Set1(np.linspace(0,1,len(np.unique(labels_pred)))))\n",
    "for label in np.unique(labels_pred):\n",
    "    plt.scatter(x[labels_pred==label][:,0], x[labels_pred==label][:,1],\n",
    "                c=next(cm), alpha =0.74, label='Pred. cluster ' +str(label+1))\n",
    "plt.legend(loc='upper right', bbox_to_anchor=(1.45,1), frameon=True);\n",
    "plt.xlabel('$x_1$'); plt.ylabel('$x_2$'); plt.title('Clusters predicted');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Needing to set the number of clusters can lead to problems."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "clus = KMeans(n_clusters=10)\n",
    "clus.fit(x)\n",
    "labels_pred = clus.predict(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7t/22224TFRUVVgCwWq3hY2ovLi62r1ixov0jjzyy51e/+lUFACQnJ+vp6emB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\n1/r/dKMrf4X1nwAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1211909e8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 288,
       "width": 535
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "cm=iter(plt.cm.Set1(np.linspace(0,1,len(np.unique(labels_pred)))))\n",
    "for label in np.unique(labels_pred):\n",
    "    plt.scatter(x[labels_pred==label][:,0], x[labels_pred==label][:,1],\n",
    "                c=next(cm), alpha =0.74, label='Pred. cluster ' + str(label+1))\n",
    "plt.legend(loc='upper right', bbox_to_anchor=(1.45,1), frameon=True)\n",
    "plt.xlabel('$x_1$'); plt.ylabel('$x_2$'); plt.title('Ten clusters predicted');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## [Semi-supervised learning](http://en.wikipedia.org/wiki/Semi-supervised_learning):\n",
    "* Obtaining a supervised learning dataset can be expensive.\n",
    "* Some times it can be complemented with a \"cheaper\" unsupervised learning dataset.\n",
    "* What if we first learn as much as possible from unlabeled data and then use the labeled dataset.    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Reinforcement learning\n",
    "\n",
    "* Inspired by behaviorist psychology;\n",
    "* How to take actions in an environment so as to maximize some notion of cumulative reward?\n",
    "* Differs from standard supervised learning in that correct input/output pairs are never presented, \n",
    "* ...nor sub-optimal actions explicitly corrected. \n",
    "* Involves finding a balance between exploration (of uncharted territory) and exploitation (of current knowledge). "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Problems types vs learning\n",
    "\n",
    "<br/>\n",
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-3\"><span/></div>\n",
    "      <div class=\"col-md-6\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='imgs/01/ml-problems-unlinked.png'/>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-3\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Problems types and learning\n",
    "\n",
    "<br/>\n",
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-3\"><span/></div>\n",
    "      <div class=\"col-md-6\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='imgs/01/ml-problems.png'/>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-3\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Components of a machine learning problem/solution\n",
    "\n",
    "- *A parametrized family of functions* $\\mathcal{M}(\\vec{x};\\theta)$ describing how the learner will behave on new examples.\n",
    "    * What output $\\mathcal{M}(\\vec{x};\\theta)$ will produce given some input $\\vec{x}$?\n",
    "- *A loss function* $\\ell()$ describing what scalar loss $\\ell(\\hat{\\vec{y}}, \\vec{y})$ is associated with each supervised example $\\langle x, y\\rangle$, as a function of the learner's output $\\hat{\\vec{y}} = \\mathcal{M}(\\vec{x};\\theta)$ and the target output $\\vec{y}$.\n",
    "- Training consists in choosing the parameters $\\theta$ given some training examples $\\Psi=\\left\\{\\left<\\vec{x}_i,\\vec{y}_i\\right>\\right\\}$ sampled from an unknown data generating distribution $P(X, Y)$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Components of a machine learning problem/solution (II)\n",
    "\n",
    "- Define a *training criterion*. \n",
    "    - *Ideally*: to minimize the expected loss sampled from the unknown data generating distribution.\n",
    "    - This is not possible because the expectation makes use of the true underlying $P()$...\n",
    "    - ...but we only have access to a finite number of training examples, $\\Psi$. \n",
    "    - A *training criterion* usually includes an empirical average of the loss over the training set,\n",
    "    \n",
    "    $$\\min_{\\theta}\\ \\mathbf{E}_{\\Psi}[\\ell(\\mathcal{M}(\\vec{x};\\vec{\\theta}), \\vec{y})].$$"
   ]
  },
  {
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   },
   "source": [
    "## Components of a machine learning problem/solution (III)\n",
    "\n",
    "- Some additional terms (called *regularizers*) can be added to enforce preferences over the choices of $\\vec{\\theta}$.\n",
    "\n",
    "$$\\text{min}\\ \\mathbf{E}_{\\Psi}[\\ell(f_\\theta(\\vec{x}), \\vec{y})] + R_{1}(\\theta)+\\cdots+R_{r}(\\theta).$$\n",
    "\n",
    "- *An optimization procedure* to approximately minimize the training criterion by modifying $\\theta$."
   ]
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   "source": [
    "## Datasets and evaluation\n",
    "\n",
    "* It is clear now that we need a dataset for training (of fitting or optimizing) the model.\n",
    "    * **Training dataset**\n",
    "* We need another dataset to assess progress and compute the training criterion.\n",
    "    * **Testing dataset**\n",
    "* As most ML approaches are stochastic and to contrast different approaches we need to have another dataset.\n",
    "    * **Validation dataset**\n",
    "\n",
    "This is a cornerstone issue of machine learning and we will be comming back to it."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   "source": [
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-2\"><span/></div>\n",
    "      <div class=\"col-md-8\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='imgs/01/ml.png'/>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-2\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "The machine learning flowchart"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div class=\"container-fluid\">\n",
    "  <div class=\"row\">\n",
    "      <div class=\"col-md-2\"><span/></div>\n",
    "      <div class=\"col-md-8\">\n",
    "          <div class='well'>\n",
    "              <img class='img-thumbnail' src='http://scikit-learn.org/stable/_static/ml_map.png'/>\n",
    "              <small>from Scikit-learn [Choosing the right estimator](http://scikit-learn.org/stable/tutorial/machine_learning_map/index.html).</small>\n",
    "          </div>\n",
    "      </div>\n",
    "      <div class=\"col-md-2\" align='center'><span/></div>\n",
    "  </div>\n",
    "</div>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# *Nature-inspired* machine learning\n",
    "\n",
    "* Cellular automata\n",
    "* **Neural computation**\n",
    "* Evolutionary computation\n",
    "* Swarm intelligence\n",
    "* Artificial immune systems\n",
    "* Membrane computing\n",
    "* Amorphous computing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Final remarks\n",
    "* Different classes of machine learning problems:\n",
    "    * Classification\n",
    "    * Regression\n",
    "    * Clustering.\n",
    "* Different classes of learning scenarions:\n",
    "    * Supervised, \n",
    "    * unsupervised, \n",
    "    * semi-supervised, and \n",
    "    * reinforcement learning.\n",
    "* Model, dataset, loss function, optimization."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Homework\n",
    " \n",
    "* Read Chapters 1,2 and 3 of Ian Goodfellow, Yoshua Bengio and Aaron Courville (2017) [Deep Learning](http://www.deeplearningbook.org) MIT Press.\n",
    "* Read Chapter 2 of Hastie, Tibshirani and Friedman (2009) [The Elements of Statistical Learning (2nd edition)](http://statweb.stanford.edu/~tibs/ElemStatLearn/) Springer-Verlag."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "<hr/>\n",
    "<div class=\"container-fluid\">\n",
    "  <div class='well'>\n",
    "      <div class=\"row\">\n",
    "          <div class=\"col-md-3\" align='center'>\n",
    "              <img align='center'alt=\"Creative Commons License\" style=\"border-width:0\" src=\"https://i.creativecommons.org/l/by-nc-sa/4.0/88x31.png\"/>\n",
    "          </div>\n",
    "          <div class=\"col-md-9\">\n",
    "              This work is licensed under a [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License](http://creativecommons.org/licenses/by-nc-sa/4.0/).\n",
    "          </div>\n",
    "      </div>\n",
    "  </div>\n",
    "</div>"
   ]
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  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "slideshow": {
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   "outputs": [
    {
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       "<table><tr><th>Software</th><th>Version</th></tr><tr><td>Python</td><td>3.6.2 64bit [GCC 4.2.1 Compatible Apple LLVM 6.1.0 (clang-602.0.53)]</td></tr><tr><td>IPython</td><td>6.1.0</td></tr><tr><td>OS</td><td>Darwin 17.0.0 x86_64 i386 64bit</td></tr><tr><td>scipy</td><td>0.19.1</td></tr><tr><td>numpy</td><td>1.13.1</td></tr><tr><td>matplotlib</td><td>2.0.2</td></tr><tr><td colspan='2'>Tue Aug 22 09:03:13 2017 -03</td></tr></table>"
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       "\\begin{tabular}{|l|l|}\\hline\n",
       "{\\bf Software} & {\\bf Version} \\\\ \\hline\\hline\n",
       "Python & 3.6.2 64bit [GCC 4.2.1 Compatible Apple LLVM 6.1.0 (clang-602.0.53)] \\\\ \\hline\n",
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       "matplotlib & 2.0.2 \\\\ \\hline\n",
       "\\hline \\multicolumn{2}{|l|}{Tue Aug 22 09:03:13 2017 -03} \\\\ \\hline\n",
       "\\end{tabular}\n"
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       "Software versions\n",
       "Python 3.6.2 64bit [GCC 4.2.1 Compatible Apple LLVM 6.1.0 (clang-602.0.53)]\n",
       "IPython 6.1.0\n",
       "OS Darwin 17.0.0 x86_64 i386 64bit\n",
       "scipy 0.19.1\n",
       "numpy 1.13.1\n",
       "matplotlib 2.0.2\n",
       "Tue Aug 22 09:03:13 2017 -03"
      ]
     },
     "execution_count": 25,
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   ],
   "source": [
    "%load_ext version_information\n",
    "%version_information scipy, numpy, matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
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    "# this code is here for cosmetic reasons\n",
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    "HTML(urlopen('https://raw.githubusercontent.com/lmarti/jupyter_custom/master/custom.include').read().decode('utf-8'))"
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    "---"
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