Skip to content
Snippets Groups Projects
neural_nets_intro.ipynb 869 KiB
Newer Older
  • Learn to ignore specific revisions
  • chadhat's avatar
    chadhat committed
    {
     "cells": [
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "code",
    
       "execution_count": 28,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "data": {
          "text/html": [
           "<style>\n",
           "    \n",
           "    @import url('http://fonts.googleapis.com/css?family=Source+Code+Pro');\n",
           "    \n",
           "    @import url('http://fonts.googleapis.com/css?family=Kameron');\n",
           "    @import url('http://fonts.googleapis.com/css?family=Crimson+Text');\n",
           "    \n",
           "    @import url('http://fonts.googleapis.com/css?family=Lato');\n",
           "    @import url('http://fonts.googleapis.com/css?family=Source+Sans+Pro');\n",
           "    \n",
           "    @import url('http://fonts.googleapis.com/css?family=Lora'); \n",
           "\n",
           "    \n",
           "    body {\n",
           "        font-family: 'Lora', Consolas, sans-serif;\n",
           "       \n",
           "        -webkit-print-color-adjust: exact important !;\n",
           "        \n",
           "      \n",
           "       \n",
           "    }\n",
           "    \n",
           "    .alert-block {\n",
           "        width: 95%;\n",
           "        margin: auto;\n",
           "    }\n",
           "    \n",
           "    .rendered_html code\n",
           "    {\n",
           "        color: black;\n",
           "        background: #eaf0ff;\n",
           "        background: #f5f5f5; \n",
           "        padding: 1pt;\n",
           "        font-family:  'Source Code Pro', Consolas, monocco, monospace;\n",
           "    }\n",
           "    \n",
           "    p {\n",
           "      line-height: 140%;\n",
           "    }\n",
           "    \n",
           "    strong code {\n",
           "        background: red;\n",
           "    }\n",
           "    \n",
           "    .rendered_html strong code\n",
           "    {\n",
           "        background: #f5f5f5;\n",
           "    }\n",
           "    \n",
           "    .CodeMirror pre {\n",
           "    font-family: 'Source Code Pro', monocco, Consolas, monocco, monospace;\n",
           "    }\n",
           "    \n",
           "    .cm-s-ipython span.cm-keyword {\n",
           "        font-weight: normal;\n",
           "     }\n",
           "     \n",
           "     strong {\n",
           "         background: #f5f5f5;\n",
           "         margin-top: 4pt;\n",
           "         margin-bottom: 4pt;\n",
           "         padding: 2pt;\n",
           "         border: 0.5px solid #a0a0a0;\n",
           "         font-weight: bold;\n",
           "         color: darkred;\n",
           "     }\n",
           "     \n",
           "    \n",
           "    div #notebook {\n",
           "        # font-size: 10pt; \n",
           "        line-height: 145%;\n",
           "        }\n",
           "        \n",
           "    li {\n",
           "        line-height: 145%;\n",
           "    }\n",
           "\n",
           "    div.output_area pre {\n",
           "        background: #fff9d8 !important;\n",
           "        padding: 5pt;\n",
           "       \n",
           "       -webkit-print-color-adjust: exact; \n",
           "        \n",
           "    }\n",
           " \n",
           "    \n",
           " \n",
           "    h1, h2, h3, h4 {\n",
           "        font-family: Kameron, arial;\n",
           "\n",
           "\n",
           "    }\n",
           "    \n",
           "    div#maintoolbar {display: none !important;}\n",
           "</style>\n"
          ],
          "text/plain": [
           "<IPython.core.display.HTML object>"
          ]
         },
    
         "execution_count": 28,
    
         "metadata": {},
         "output_type": "execute_result"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "# IGNORE THIS CELL WHICH CUSTOMIZES LAYOUT AND STYLING OF THE NOTEBOOK !\n",
        "import matplotlib.pyplot as plt\n",
    
    chadhat's avatar
    chadhat committed
        "import matplotlib as mpl\n",
    
        "import seaborn as sns\n",
        "sns.set(style=\"darkgrid\")\n",
    
    chadhat's avatar
    chadhat committed
        "mpl.rcParams['lines.linewidth'] = 3\n",
    
    chadhat's avatar
    chadhat committed
        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'retina'\n",
    
    chadhat's avatar
    chadhat committed
        "%config IPCompleter.greedy=True\n",
    
    chadhat's avatar
    chadhat committed
        "import warnings\n",
        "warnings.filterwarnings('ignore', category=FutureWarning)\n",
    
        "from IPython.core.display import HTML; HTML(open(\"custom.html\", \"r\").read())"
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Introduction to Neural Networks\n",
        "\n",
        "\n",
        "## History of Neural networks\n",
        "\n",
    
    chadhat's avatar
    chadhat committed
        "<div class=\"alert alert-block alert-danger\"><p>\n",
        "    <strong>TODO</strong>: Make it more complete and format properly\n",
        "</p></div>\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "1943 - Threshold Logic\n",
        "\n",
        "1940s - Hebbian Learning\n",
        "\n",
        "1958 - Perceptron\n",
        "\n",
        "1975 - Backpropagation\n",
        "\n",
        "1980s - Neocognitron\n",
        "\n",
    
    chadhat's avatar
    chadhat committed
        "1982 - Hopfield Network\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "1986 - Convolutional Neural Networks\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "1997 - Long-short term memory (LSTM) model\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "2014 - Gated Recurrent Units, Generative Adversarial Networks(Check)?"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Feed-Forward neural network\n",
        "<center>\n",
        "<figure>\n",
        "<img src=\"./images/neuralnets/neural_net_ex.svg\" width=\"700\"/>\n",
    
        "<figcaption>A 3 layer densely connected Neural Network (By convention the input layer is not counted).</figcaption>\n",
    
    chadhat's avatar
    chadhat committed
        "</figure>\n",
        "</center>"
    
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Why the boom now?\n",
        "* Data\n",
        "* Data\n",
        "* Data\n",
        "* Availability of GPUs\n",
    
        "* Algorithmic developments which allow for efficient training and making networks networks\n",
        "* Development of high-level libraries/APIs have made the field much more accessible than it was a decade ago"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Building blocks\n",
        "### Perceptron\n",
        "\n",
    
        "The smallest unit of a neural network is a **perceptron** like node.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "**What is a Perceptron?**\n",
        "\n",
    
        "It is a simple function which can have multiple inputs and has a single output.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "<center>\n",
        "<figure>\n",
        "<img src=\"./images/neuralnets/perceptron_ex.svg\" width=\"400\"/>\n",
        "<figcaption>A simple perceptron with 3 inputs and 1 output.</figcaption>\n",
        "</figure>\n",
        "</center>\n",
        "\n",
        "\n",
        "It works as follows: \n",
        "\n",
        "Step 1: A **weighted sum** of the inputs is calculated\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "\\begin{equation*}\n",
    
    chadhat's avatar
    chadhat committed
        "weighted\\_sum = w_{1} x_{1} + w_{2} x_{2} + w_{3} x_{3} + ...\n",
    
    chadhat's avatar
    chadhat committed
        "\\end{equation*}\n",
        "\n",
    
        "Step 2: A **step** activation function is applied\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "$$\n",
        "f(weighted\\_sum) = \\left\\{\n",
        "        \\begin{array}{ll}\n",
    
        "            0 & \\quad weighted\\_sum < threshold \\\\\n",
        "            1 & \\quad weighted\\_sum \\geq threshold\n",
    
    chadhat's avatar
    chadhat committed
        "        \\end{array}\n",
        "    \\right.\n",
        "$$\n",
    
        "You can see that this is also a linear classifier as the ones we introduced in script 02."
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 29,
    
    chadhat's avatar
    chadhat committed
       "metadata": {
        "tags": [
         "hidecode"
        ]
       },
    
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
           "height": 281,
           "width": 392
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
    
    chadhat's avatar
    chadhat committed
        "# Plotting the step function\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "import numpy as np\n",
        "x = np.arange(-2,2.1,0.01)\n",
        "y = np.zeros(len(x))\n",
        "threshold = 0.\n",
        "y[x>threshold] = 1.\n",
        "step_plot = sns.lineplot(x, y).set_title('Step function') ;\n",
        "plt.xlabel('weighted_sum') ;\n",
        "plt.ylabel('f(weighted_sum)') ;"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 30,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
    chadhat's avatar
    chadhat committed
       "outputs": [],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "import numpy as np\n",
    
        "import matplotlib.pyplot as plt\n",
    
    chadhat's avatar
    chadhat committed
        "def perceptron(X, w, threshold=1):\n",
    
        "    # This function computes sum(w_i*x_i) and\n",
    
    chadhat's avatar
    chadhat committed
        "    # applies a perceptron activation\n",
    
    chadhat's avatar
    chadhat committed
        "    linear_sum = np.dot(np.asarray(X).T, w)\n",
        "    output = np.zeros(len(linear_sum), dtype=np.int8)\n",
        "    output[linear_sum >= threshold] = 1\n",
    
    chadhat's avatar
    chadhat committed
        "    return output"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "#### Boolean AND\n",
        "\n",
        "| x$_1$ | x$_2$ | output |\n",
        "| --- | --- | --- |\n",
        "| 0 | 0 | 0 |\n",
        "| 1 | 0 | 0 |\n",
        "| 0 | 1 | 0 |\n",
        "| 1 | 1 | 1 |"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 31,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Perceptron output for x1, x2 =  0 , 0  is  0\n",
          "Perceptron output for x1, x2 =  1 , 0  is  0\n",
          "Perceptron output for x1, x2 =  0 , 1  is  0\n",
          "Perceptron output for x1, x2 =  1 , 1  is  1\n"
         ]
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "# Calculating Boolean AND using a perceptron\n",
    
        "threshold = 1.5\n",
    
        "# (w1, w2)\n",
    
        "w = [1, 1]\n",
    
    chadhat's avatar
    chadhat committed
        "# (x1, x2) pairs\n",
        "x1 = [0, 1, 0, 1]\n",
        "x2 = [0, 0, 1, 1]\n",
        "# Calling the perceptron function\n",
        "output = perceptron([x1, x2], w, threshold)\n",
        "for i in range(len(output)):\n",
        "    print(\"Perceptron output for x1, x2 = \", x1[i], \",\", x2[i],\n",
        "          \" is \", output[i])"
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "In this simple case we can rewrite our equation to $x_2 = ...... $ which describes a line in 2D:"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 32,
    
       "metadata": {},
       "outputs": [],
       "source": [
    
    chadhat's avatar
    chadhat committed
        "def perceptron_DB(x1, x2, w, threshold):\n",
        "    # Plotting the decision boundary of the perceptron\n",
        "    sns.scatterplot(x1, x2)\n",
        "    plt.xlim(-1,2)\n",
        "    plt.ylim(-1,2)\n",
    
        "    # The decision boundary is a line given by\n",
        "    # w_1*x_1+w_2*x_2-threshold=0\n",
        "    x1 = np.arange(-3, 4)\n",
        "    x2 = (threshold - x1*w[0])/w[1]\n",
    
    chadhat's avatar
    chadhat committed
        "    sns.lineplot(x1, x2, **{\"color\": \"black\"})\n",
    
        "    plt.xlabel(\"x$_1$\", fontsize=16)\n",
    
    chadhat's avatar
    chadhat committed
        "    plt.ylabel(\"x$_2$\", fontsize=16)\n",
        "    # Coloring the regions\n",
        "    pts_tmp = np.arange(-2, 2.1, 0.02)\n",
        "    points = np.array(np.meshgrid(pts_tmp, pts_tmp)).T.reshape(-1, 2)\n",
        "    outputs = perceptron(points.T, w, threshold)\n",
        "    plt.plot(points[:, 0][outputs == 0], points[:, 1][outputs == 0],\n",
        "             \"o\",\n",
        "             color=\"steelblue\",\n",
        "             markersize=1,\n",
        "             alpha=0.04,\n",
        "             )\n",
        "    plt.plot(points[:, 0][outputs == 1], points[:, 1][outputs == 1],\n",
        "             \"o\",\n",
        "             color=\"chocolate\",\n",
        "             markersize=1,\n",
        "             alpha=0.04,\n",
        "             )\n",
        "    plt.title(\"Blue color = 0 and Chocolate = 1\")"
    
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 33,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
           "height": 284,
           "width": 406
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
    
    chadhat's avatar
    chadhat committed
        "# Plotting the perceptron decision boundary\n",
        "perceptron_DB(x1, x2, w, threshold)"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "**Exercise 1 : Compute a Boolean \"OR\" using a perceptron?**\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "Hint: copy the code from the \"AND\" example and edit the weights and/or threshold"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "#### Boolean OR\n",
        "\n",
        "| x$_1$ | x$_2$ | output |\n",
        "| --- | --- | --- |\n",
        "| 0 | 0 | 0 |\n",
        "| 1 | 0 | 1 |\n",
        "| 0 | 1 | 1 |\n",
        "| 1 | 1 | 1 |"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 34,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
       "outputs": [],
       "source": [
        "# Calculating Boolean OR using a perceptron\n",
        "# Edit the code below"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 35,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Perceptron output for x1, x2 =  0 , 0  is  0\n",
          "Perceptron output for x1, x2 =  1 , 0  is  1\n",
          "Perceptron output for x1, x2 =  0 , 1  is  1\n",
          "Perceptron output for x1, x2 =  1 , 1  is  1\n"
         ]
        },
        {
         "data": {
          "image/png": "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\n",
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
           "height": 284,
           "width": 406
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "# Solution\n",
        "# Calculating Boolean OR using a perceptron\n",
        "threshold=0.6\n",
    
        "# (w1, w2)\n",
    
    chadhat's avatar
    chadhat committed
        "w=[1,1]\n",
    
    chadhat's avatar
    chadhat committed
        "# (x1, x2) pairs\n",
        "x1 = [0, 1, 0, 1]\n",
        "x2 = [0, 0, 1, 1]\n",
        "output = perceptron([x1, x2], w, threshold)\n",
        "for i in range(len(output)):\n",
        "    print(\"Perceptron output for x1, x2 = \", x1[i], \",\", x2[i],\n",
        "          \" is \", output[i])\n",
        "perceptron_DB(x1, x2, w, threshold)"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "**Exercise 2 : Create a NAND gate using a perceptron**\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "#### Boolean NAND\n",
        "\n",
        "| x$_1$ | x$_2$ | output |\n",
        "| --- | --- | --- |\n",
        "| 0 | 0 | 1 |\n",
        "| 1 | 0 | 1 |\n",
        "| 0 | 1 | 1 |\n",
        "| 1 | 1 | 0 |"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 36,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
       "outputs": [],
       "source": [
    
        "# Calculating Boolean NAND using a perceptron\n"
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "code",
    
       "execution_count": 37,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "Perceptron output for x1, x2 =  0 , 0  is  1\n",
          "Perceptron output for x1, x2 =  1 , 0  is  1\n",
          "Perceptron output for x1, x2 =  0 , 1  is  1\n",
          "Perceptron output for x1, x2 =  1 , 1  is  0\n"
         ]
        },
        {
         "data": {
          "image/png": "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\n",
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
           "height": 284,
           "width": 406
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "# Solution\n",
    
        "# Calculating Boolean NAND using a perceptron\n",
    
    chadhat's avatar
    chadhat committed
        "import matplotlib.pyplot as plt\n",
        "threshold=-1.5\n",
    
        "# (w1, w2)\n",
    
    chadhat's avatar
    chadhat committed
        "w=[-1,-1]\n",
    
    chadhat's avatar
    chadhat committed
        "# (x1, x2) pairs\n",
        "x1 = [0, 1, 0, 1]\n",
        "x2 = [0, 0, 1, 1]\n",
        "output = perceptron([x1, x2], w, threshold)\n",
        "for i in range(len(output)):\n",
        "    print(\"Perceptron output for x1, x2 = \", x1[i], \",\", x2[i],\n",
        "          \" is \", output[i])\n",
        "perceptron_DB(x1, x2, w, threshold)"
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "In fact, a single perceptron can compute \"AND\", \"OR\" and \"NOT\" boolean functions.\n",
    
        "\n",
        "However, it cannot compute some other boolean functions such as \"XOR\".\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "**WHAT CAN WE DO?**\n",
        "\n",
        "\n",
    
        "Hint: Think about what is the significance of the NAND gate we have created above?\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "Answer: We said a single perceptron can't compute a \"XOR\" function. We didn't say that about **multiple Perceptrons** put together."
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "**XOR function using multiple perceptrons**\n",
        "\n",
        "<center>\n",
        "<figure>\n",
        "<img src=\"./images/neuralnets/perceptron_XOR.svg\" width=\"400\"/>\n",
    
        "<figcaption>Multiple perceptrons connected together to output a XOR function.</figcaption>\n",
    
        "</figure>\n",
        "</center>"
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
    
       "cell_type": "markdown",
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
       "source": [
    
        "### Multi-layer perceptrons\n",
        "\n",
        "The normal densely connected neural network is sometimes also called \"Multi-layer\" perceptron."
    
    chadhat's avatar
    chadhat committed
       ]
      },
    
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Learning\n",
        "\n",
    
        "Now we know that we can compute complex functions by combining a number of perceptrons.\n",
    
        "In the perceptron examples we had set the model parameters (weights and thresholds) by hand.\n",
    
        "This is something we definitely **DO NOT** want to do or even can do for big networks.\n",
    
        "We want some algorithm to set the weights for us!\n",
        "\n",
        "This is achieved by choosing an appropriate loss function for the problem at hand and solving an optimization problem.\n",
        "We will explain below what this means.\n",
    
        "\n",
        "\n",
        "### Loss function\n",
    
        "\n",
        "To learn using an algorithm we need to define a quantity/function which allows us to measure how close or far are the predictions of our network/setup from reality or the supplied labels. This is done by choosing a so-called \"Loss function\" (as in the case for other machine learning algorithms).\n",
        "\n",
        "Once we have this function, we need an algorithm to update the weights of the network such that this loss function decreases. \n",
        "As one can already imagine the choice of an appropriate loss function is critical to the success of the model. \n",
        "\n",
        "Fortunately, for classification and regression (which cover a large variety of problems) these loss functions are well known. \n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "Generally **crossentropy** and **mean squared error** loss functions are used for classification and regression problems, respectively.\n",
    
    chadhat's avatar
    chadhat committed
        "<div class=\"alert alert-block alert-warning\">\n",
        "    <i class=\"fa fa-info-circle\"></i>&nbsp; <strong>mean squared error</strong> is defined as \n",
        "\n",
        "\n",
        "$$\n",
        "\\frac{1}{n} \\left((y_1 - \\hat{y}_1)^2 + (y_2 - \\hat{y}_2)^2 + ... + (y_n - \\hat{y}_n)^2 \\right)\n",
        "$$\n",
        "\n",
        "\n",
        "</div>\n",
        "\n",
    
        "### Gradient based learning\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "As mentioned above, once we have chosen a loss function, we want to solve an **optimization problem** which minimizes this loss by updating the weights of the network. This is how the learning takes in a NN, and the \"knowledge\" is stored in the weights.\n",
        "\n",
        "The most popular optimization methods used in Neural Network training are **Gradient-descent (GD)** type methods, such as gradient-descent itself, RMSprop and Adam. \n",
        "\n",
        "**Gradient-descent** uses partial derivatives of the loss function with respect to the network weights and a learning rate to updates the weights such that the loss function decreases and after some iterations reaches its (Global) minimum value.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "First, the loss function and its derivative are computed at the output node, and this signal is propagated backwards, using the chain rule, in the network to compute the partial derivatives. Hence, this method is called **Backpropagation**.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "One way to perform a single GD pass is to compute the partial derivatives using **all the samples** in our data, computing average derivatives and using them to update the weights. This is called **Batch gradient descent**. However, in deep learning we mostly work with massive datasets and using batch gradient descent can make the training very slow!\n",
        "\n",
        "The other extreme is to randomly shuffle the dataset and advance a pass of GD with the gradients computed using only **one sample** at a time. This is called **Stochastic gradient descent**.\n",
        "\n",
        "<center>\n",
        "<figure>\n",
        "<img src=\"stochastic-vs-batch-gradient-descent.png\" width=\"600\"/>\n",
        "<figcaption>Source: <a href=\"https://wikidocs.net/3413\">https://wikidocs.net/3413</a></figcaption>\n",
        "</figure>\n",
        "</center>\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "In practice, an approach in-between these two is used. The entire dataset is divided into **m batches** and these are used one by one to compute the derivatives and apply GD. This technique is called **Mini-batch gradient descent**. \n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "<div class=\"alert alert-block alert-warning\">\n",
        "<p><i class=\"fa fa-warning\"></i>&nbsp;\n",
        "One pass through the entire training dataset is called 1 epoch of training.\n",
        "</p>\n",
        "</div>"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 38,
    
       "metadata": {},
    
       "outputs": [
        {
         "data": {
          "text/plain": [
           "<Figure size 720x288 with 0 Axes>"
          ]
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ],
    
       "source": [
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns\n",
        "import numpy as np\n",
    
        "plt.figure(figsize=(10, 4)) ;\n",
    
        "pts=np.arange(-20,20, 0.1) ;"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
    chadhat's avatar
    chadhat committed
        "### Activation Functions\n",
        "\n",
    
        "In order to train the network we need to move away from Perceptron's **step** activation function because it does not allow training using the gradient-descent and back-propagation algorithms among other drawbacks.\n",
    
        "\n",
        "Non-Linear functions such as:\n",
        "\n",
        "* Sigmoid\n",
        "\n",
        "\\begin{equation*}\n",
        "f(z) = \\frac{1}{1+e^{-z}}\n",
    
        "\\end{equation*}"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 39,
    
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": "iVBORw0KGgoAAAANSUhEUgAAAvEAAAH8CAYAAABYTvCiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzs3Xl8ZFd95/1PaZdaLfWi3he78XK8gJfQZjEYTLBjMGFYQphkCAlJiBOSkFcYHpaQZCCEmYeHTAKE4CGEPEwIJBkSsBMMmGB2g8EGgo23Y7fddu/d6k3d6taumj+qhOXWvZJKVbpVpfq8X6/mtu65devXh3LVV6fOPTeXz+eRJEmSVD+aql2AJEmSpNIY4iVJkqQ6Y4iXJEmS6owhXpIkSaozhnhJkiSpzhjiJUmSpDpjiJckSZLqjCFekiRJqjOGeEmSJKnOGOIlSZKkOmOIlyRJkuqMIV6SJEmqM4Z4SZIkqc4Y4iVJkqQ6Y4iXJEmS6owhXpIkSaozhnhJkiSpzhjiJUmSpDrTUu0Cquw/gG3AILCjyrVIkiRp6ToX6AZ2ApeXe7JcPp8vu6I6dhzorXYRkiRJahgDwIpyT9LoI/GDQO/kZJ7x8YnMnrStrdDto6PjmT1nvbPPSmN/lcb+Ko39VTr7rDT2V2nsr9JVo89aWpppaspBIX+Wf75KnKSO7QA2jY9PMDAwlNmTrlmzHCDT56x39llp7K/S2F+lsb9KZ5+Vxv4qjf1Vumr0WW9v59QvDxWZwu2FrZIkSVKdMcRLkiRJdcYQL0mSJNUZQ7wkSZJUZwzxkiRJUp0xxEuSJEl1xhAvSZIk1RlDvCRJklRnDPGSJElSnVmUO7aGEF4HfBy4KsZ4ewmP2wi8E7gW2ADsAj4JvC/GOLIIpUqSJEl1p+Ij8SGEZwMfWsDjNgPfA24AjgOfB3qAdwO3hhBaK1mnJEmSVK8qGuJDCK8EvgR0L+DhNwKbgT+OMf5UjPFVwLnAbcDVwO9Vqk5JkiSpnlUkxIcQNocQPgF8BmgGDpb4+AD8LPAI8D+m9scYTwG/DkwAb6xErZIkSVK9q9Sc+PcArwW+D/wahek060p4/HVADvhcjHFyekOMcVcI4YfAFSGEi2KM91eoZkmSlpTJfJ7x8UnGJyYZm5j+90nGxieZmMwzOfUnX/wzWXhc/if7ePIxxW0+D/l8nnzxufL5qe0T+8hT+HtxXz7/RG35YmO++BimnWf6YwC6utohn2fwVONeDje97+bStawNgNOnRivz3BU5S+1a3dPO87efxZqVndUupSyVCvEPAr8CfDLGOFkYWC/JxcXtvbOc/wrgaYAhXpK05IyNT3Dy9BgnT48xODTGyaFRBot/Pz08zvDoBMOjU9sn/31sYpLxYkiXNLdPf20Hf/IbV9LXXb+XXFYkxMcY31vmKTYUt/tT2qf2lzK6P29tbS2sWbN8MU49q2o8Z72zz0pjf5XG/iqN/VWasfEJTo3n2XPoJP3Hhug/PkT/sdPF7RAnKjSKKmluQyMTfPTme3j/m66udikLtihLTC7AsuL2dEr7UHG7kAtmJUnK1MnTo8THjxEfP8bjB06w68BJ9h85xaQj5VLN2LnvBBMTkzQ31+dtk2olxE/Ng097d8udsa2o0dFxBgaG5j6wQqZGr/r7T2b2nPXOPiuN/VUa+6s09tdMxwdHuPfRo8Tdx3hk7wkOHE0bk5JUK7Zt6uXo0VOZPV9vbydtbZWL3rUS4geL27QrDDqK2+x6WpKkFPl8nr39p7jzwYPcveMIuw8Nzv0gSTWjq6OFN7zykmqXUZZaCfH7itv1Ke1zzZmXJGnRHR8c4Vt37+N7Dxxi3+HaHFdqac7R0txES3MTrS1NtDY30dLS9JP9TU05mnI5mnI88ffiNpewr6mJYlvhMeQKX4rniv+TA3JTf3nS/tzUoYX9uSeOy/3kwCcflys2LOtqgxwMna7udQK53KJMAJj/88/zuK5l7QCcruRqPtX9py+q1T0dPG/7Vlb1dNT1N4q1EuKnVqW5KKX9wuL2xxnUIknST+TzeR7eM8BXfrCHHz7Uv2grwOSA5cvaWN7VyvLOVro7W+nuaitsO1roaG+ho62ZjrZm2lub6WhroaO9mY7WZlpbmmktBvVqB89KcMpWaeyv0q3q6Zj7oBpXKyH+1uL2P4UQ3j59rfgQwlbgcuBx14iXJGUln8/z4OPHuPn2nTy8Z6Ai5+xZ1sbG1V2sW9XF6p4OVvd0sKqnndU9HaxY3k5LnV5gJyl7mYf4YijvAg7HGA8DxBh3hhBuBV4EvBv4o+Kxy4CPUbgL7J9nXaskqTHt3H+C//PVHTy0+/iCz7F2RSdP2dTDORt7edr5a9mybjkjpxv35kWSKqsaI/GfAJ4P/Anwrmn7fwf4NvCHIYSXARG4ksJ8+C8C/yvbMiVJjebU8Bif/cajfP0/9pZ818o1Kzp42lNWc/HZqzhnUy89xbtowrTpDoZ4SRVSK9NpiDE+GkJ4BoWR+BcD5wKPAn8JfCDGOF7N+iRJS9tdDx7iU/8eOXF6bN6P2dS3jGdcuJbtF6xlw+plcz9AkipkUUJ8jPHqBbbtBn51EUqSJCnRyNgE/3jbw3zz7n1zHwy0tzbz7IvXcfXlm9i6zrvWSqqOmhmJlyQpa3sPn+IjN9/L3nksF9nT1cqLnnkWz7t0I10dfnxKqi7fhSRJDem+x47y4c/+mOHRiVmPW9bRwvXPPoufvnwz7W3NGVUnSbMzxEuSGs4d9x3g///8A3Ou+f7cSzbwqqvPoaerbdbjJClrhnhJUkP54vce55+/9sisx6xd2cmvv+RCztu8IqOqJKk0hnhJUsO49Xu75gzwz7poHa+9LtDZ7kekpNrlO5QkqSF88+59fPprO1Lbm5tyvPa6wFWXbCCXy2VYmSSVzhAvSVry7nzgIH/3xQdT2zvbm/ndVzyNC89elWFVkrRwhnhJ0pL20O7j/M3n7k+9A+uK7jbe9OrL2LK2O9O6JKkchnhJ0pJ1fHCE/3Xzvamr0KzobuPtv/R01q7ozLgySSpPU7ULkCRpMYxPTHLjzfcycGo0sX1ZRwtv/s+XGeAl1SVDvCRpSfrnrz3Cjj0DiW3tbc381/98GZvWOIVGUn0yxEuSlpwfxH6+/P3diW054A0veyrbNvRkW5QkVZAhXpK0pAwOjfH3X0pfieZlz93GJeeszrAiSao8Q7wkaUn5x9se5sTpscS2S85Zzc8+5+xsC5KkRWCIlyQtGfc8cpg77juQ2NbX28FvvPQimryRk6QlwBAvSVoShkbG+btbY2r763/2IpZ1tGZYkSQtHkO8JGlJuOmbj3Ls5Ehi2wt/ajPnb1mRcUWStHgM8ZKkunfw6Gm+9h97E9tW93Twc1c/JeOKJGlxGeIlSXXvX77xSOpdWX/lxYGONm9QLmlpMcRLkurajr0D/CD2J7Y9++J1PHWby0lKWnoM8ZKkupXP5/n0V3cktrW2NPFzzz8n44okKRuGeElS3frhQ/3s2DuQ2Hbt9i2s6unIuCJJyoYhXpJUl/L5PDffvjOxrbuzleufdVbGFUlSdgzxkqS6dM8jR9jbfyqx7aXPOZuuDi9mlbR0GeIlSXXpC999PHH/mhUdvODyTRlXI0nZMsRLkurOjj0DPLwneS789c86i5ZmP94kLW2+y0mS6k7aKHxvdxtXPnVDxtVIUvYM8ZKkurK3f5Af7Tic2PYz27fQ2uJHm6Slz3c6SVJdufXOXYn7O9ubef5lzoWX1BgM8ZKkujE4NMb37j+U2Hb15ZtckUZSwzDES5Lqxh33HmB8YnLG/pbmHNdu31KFiiSpOgzxkqS6kM/n+cbd+xLbnnHhOlZ0t2dckSRVjyFeklQXHtl7gn2Hk2/u9PzLNmZcjSRVlyFeklQXvvGjvYn7N/Yt49xNvRlXI0nVZYiXJNW808Nj3PVg8gWtz7t0I7lcLuOKJKm6DPGSpJp3x30HGR1PuqC1iSufur4KFUlSdRniJUk171spF7RuD2vo7mzNuBpJqj5DvCSppu07fIpdhwYT2553qRe0SmpMhnhJUk2784GDifvXruwkbF2RcTWSVBsM8ZKkmpXP51MvaH3WReu8oFVSwzLES5Jq1p7+U+w/cjqx7YoL12VcjSTVDkO8JKlmpU2l2bxmGZv6lmVcjSTVDkO8JKkm5fN57nogeSqNo/CSGp0hXpJUkx47cJJDx4cS255x4dqMq5Gk2mKIlyTVpLRR+LPWLWfdyq6Mq5Gk2mKIlyTVnMKqNMnz4Z9xkaPwkmSIlyTVnN2HBjlyYiSx7YoLDPGSZIiXJNWcux85krh/24Ye+no7M65GkmqPIV6SVHPu2XE4cf9l5/VlXIkk1SZDvCSpppw4Pcqj+04ktl16zuqMq5Gk2mSIlyTVlB8/coR8wv6Vy9vZsrY783okqRYZ4iVJNSVtPvyl56wml8tlXI0k1SZDvCSpZoxPTHLfzuQQf8k5zoeXpCmGeElSzXh4zwBDIxMz9re2NHHh2SurUJEk1SZDvCSpZtydsirNBVtX0t7anHE1klS7DPGSpJpxT9p8+HNdlUaSpjPES5JqwuHjQxw4ejqx7RKXlpSkJzHES5JqwgOPH0vcv6lvmXdplaQzGOIlSTUhLcRfdPaqjCuRpNpniJckVV0+n08N8a5KI0kzGeIlSVW3/8hpBk6NztjflMsRtqyoQkWSVNsM8ZKkqksbhT97w3I621syrkaSal/F3hlDCNcA7wAuAdqAHwDvjTF+qYRzPAv4I+BKoBvYDfwb8O4YY/I7vCSp7qVOpTnLqTSSlKQiI/EhhNcBX6YQvu8E7gCeA9waQrhhnud4GfAt4CXAw8AXgA7g94E7QwhrKlGrJKm2TE7mibsM8ZJUirJDfAhhA/ARYADYHmO8PsZ4HYUQfwL4YAhh0xznaAH+uljPz8UYnxljfDlwDvA54Fzgv5VbqySp9uw+NMip4fEZ+1uac5y7qbcKFUlS7avESPwbgXbg/THGe6d2xhjvAt5HYTR9rtH4S4B1wN0xxs9OO8cw8KfFH59XgVolSTUmbSrNuZt6aWttzrgaSaoPlQjxLypub05ou6m4ffEc55gsbtcWR+Wn6ytujy6gNklSjbv/8eS39wucSiNJqcq6sDWEkAMuohDCH0g45KFi28UhhFyMMZ9yqvsoXMS6Bfj7EMIfAfuBZwM3Fs/xF+XUKkmqPeMTkzy8eyCxzfnwkpSu3JH4lRSm0hyJMc5Y4DfGOA4cBrqA5WkniTGOAa8C9gK/AOwATgG3UVjp5sUxxs+VWaskqcY8fvAkI2MTM/a3tzazbUNPFSqSpPpQ7hKTy4rb07McM1TcdlO40DXNDuBTwJspLE95CHg6sBF4Swjh+zHGRZlS09bWwpo1qb9jLJpqPGe9s89KY3+Vxv4qTSX669v3H0zcf/FTVrNh/dK7qNXXWGnsr9LYX6Wr5z4rN8RPzWVPmyYDkDtjO0MIYTVwO7AJuCbG+PXi/nbgr4DXU5hz78WtkrSE3L8zeWzmom2rMq5EkupLuSF+sLjtnOWYjuL21CzHvAW4AHjrVIAHiDGOhBB+G7gKuCqEcFWM8Vtl1JtodHScgYGhuQ+skKnf+vr7T2b2nPXOPiuN/VUa+6s0leqvfD7P/Y8eSWzbsKJjSf3/4WusNPZXaeyv0lWjz3p7O2lrq9wdqMudE3+CQpDvS1hVZmr99z5gOMZ4fJbzXF3cfvnMhuJ8+duKP15eVrWSpJrRPzDMwKkZl1PRlMvxlI1LbyqNJFVSWSG+uNrM/UAzcH7CIaH4HD+e41QrituZd/t48v62UmuUJNWmHXuSx3a2rOumvc314SVpNpVYJ/7W4vblCW1T+74wxzkeLG6vP7MhhNAM/HTxx7tLrk6SVJN27E1e68C7tErS3CoR4j8ODANvCyE8fWpnCGE78FYKq9PcOG3/OSGEC0II09+lP1rc/mEI4TnTjm0B/gx4GoW15L9agXolSTUgbST+vM2GeEmaS9khPsb4GIVlIXuAO0IIXwwh3Ap8h8La8DfEGA9Ne8hXKNwY6hXTzvEF4L3Fc3wrhPCdEMLNwCPAm4CDwKtjjDMXE5Yk1Z3Tw2Ps7U9e78CReEmaWyVG4okx3gi8FPguhZVkrqCwZOS1McZPzvMcf1A8x23AhRSm1kxSWGLy8hjj/ZWoVZJUfY/uO5G4NvHqnnZW9XQktEiSpqvYOjcxxluAW+Zx3NnlnkOSVN8e3jOQuP8cR+ElaV4qMhIvSVIpduxNDvHnbV6RuF+S9GSGeElSpiYmJ3l0nyvTSFI5DPGSpEztOXSKkbGZ6xS0tzazee2yKlQkSfXHEC9JytTOA8mj8E/Z2ENzkx9LkjQfvltKkjL12P70EC9Jmh9DvCQpU4/tP5m4/+z1yzOuRJLqlyFekpSZ0bEJ9qTc5GnbBkfiJWm+DPGSpMzsOjTIZH7mbZ56lrWxcnl7FSqSpPpkiJckZSZtPvy29cvJ5XIZVyNJ9csQL0nKzM60+fBOpZGkkhjiJUmZeSxlecltG7yoVZJKYYiXJGViaGScA0dOJ7Y5Ei9JpTHES5Iy8fiBk8y8pBVW93TQ09WWeT2SVM8M8ZKkTKTdqfVsp9JIUskM8ZKkTKRd1Or68JJUOkO8JCkTsy0vKUkqjSFekrToTp4e5fDAcGLbWYZ4SSqZIV6StOgeP5A8lWbdqi66OlozrkaS6p8hXpK06HYdGkzc71QaSVoYQ7wkadHtOpg8Er91nSFekhbCEC9JWnS7U0bit6zrzrgSSVoaDPGSpEU1MjqReqfWLWsN8ZK0EIZ4SdKi2nN4MPFOrSuXt3unVklaIEO8JGlR7T6YMpXGUXhJWjBDvCRpUaWtTLPV+fCStGCGeEnSokpdmWatK9NI0kIZ4iVJi2ZyMs8eV6aRpIozxEuSFs3BY6cZHZ+csb+jrZk1KzqrUJEkLQ2GeEnSotk1y0WtTblcxtVI0tJhiJckLZpdh5wPL0mLwRAvSVo0qctLOh9ekspiiJckLRqXl5SkxWGIlyQtioHBEU6cGp2xvymXY1PfsipUJElLhyFekrQo0kbhN/R10drSnHE1krS0GOIlSYtiT3/6yjSSpPIY4iVJi2LPoVOJ+7esMcRLUrkM8ZKkRbE3ZSR+0xrnw0tSuQzxkqSKm5icZN+R04ltmx2Jl6SyGeIlSRV36NgQ4xOTM/Z3trewcnl7FSqSpKXFEC9Jqri9/cnz4TetWUYul8u4GklaegzxkqSKS1uZxqk0klQZhnhJUsXtSRuJ9yZPklQRhnhJUsWlrUyz2ZVpJKkiDPGSpIoaGZvg0LGhxLZNTqeRpIowxEuSKmr/kVPkE/av6G6ju7M183okaSkyxEuSKirtTq1e1CpJlWOIlyRV1N7D3qlVkhabIV6SVFFpK9M4Ei9JlWOIlyRVVNoa8Y7ES1LlGOIlSRUzODTGwODojP05YONqQ7wkVYohXpJUMWnrw69d2Ulba3PG1UjS0mWIlyRVzL7DzoeXpCwY4iVJFbPvyOnE/Rv6nEojSZVkiJckVcyBI8kj8RtXd2VciSQtbYZ4SVLFpI7Ee1GrJFWUIV6SVBFDI+McOzmS2LZ+lSPxklRJhnhJUkUcPJY8Cr+6p532NlemkaRKMsRLkipi/2Gn0khSVgzxkqSK2H80+aLW9V7UKkkVZ4iXJFVE2ki8d2qVpMozxEuSKmL/0bTpNI7ES1KlGeIlSWWbmJzkYEqIX+9IvCRVXEulThRCuAZ4B3AJ0Ab8AHhvjPFLJZxjGfBW4NXANuA0cDvw7hjj9ytVqySpsvqPDzMxmZ+xf1lHCz1drVWoSJKWtoqMxIcQXgd8GbgSuBO4A3gOcGsI4YZ5nmMV8B3gvwHLgS8Au4GXAreHEK6oRK2SpMrbn3Kn1vWru8jlchlXI0lLX9khPoSwAfgIMABsjzFeH2O8jkKIPwF8MISwaR6nej+FUfx/Ap4SY3xljPFS4C1AO/CxcmuVJC2O/d6pVZIyVYmR+DdSCNnvjzHeO7UzxngX8D6gA5h1ND6EsBV4LfAo8LoY4+i08/xPClNzloUQ1lSgXklShaWNxHtRqyQtjkrMiX9RcXtzQttNwHuAFwPvnOUcrwRywIdjjDPu2R1j3F5ukZKkxXMgbSR+lSPxkrQYygrxIYQccBEwCTyQcMhDxbaLQwi5GOPMq54Kfqq4vTOE0A38AvB0YBz4CvCvszxWklRF+XyefWkhvs+ReElaDOVOp1lJYSrNkelTYKbEGMeBw0AXhYtV05xb3PYB9wJ/A/wW8LsURvO/HEKY7fGSpCo5cWqUoZHxGftbmnP09XZUoSJJWvrKnU4z9T1p8hBMwVBx203hQtckvcXtx4FHgF+kEOYvAW4EXgj8NfBfyik2TVtbC2vWZP87QjWes97ZZ6Wxv0pjf5Vmqr/2Dwwntm9a0836db2JbY3K11hp7K/S2F+lq+c+K3ckfrK4nW2qS+6MbZKpoZpR4JoY4x0xxpMxxm8D1wEngV8MIZxfVrWSpIrbc2gwcf/mtfX74ShJta7ckfipd+7OWY6ZCujJSxc8ue0fYozHpzfEGA+EEP4NeA3wfArz7CtqdHScgYGhuQ+skKnf+vr7T2b2nPXOPiuN/VUa+6s0Z/bXw48dTTxuZXebfVrka6w09ldp7K/SVaPPens7aWur2H1Wyx6JP0EhyPeFEGZUVdzXBwyfGc7P0F/cPpbS/nhx27fAOiVJiyRtecmNLi8pSYumrBBfXDHmfqAZSJrqEorP8eM5TjXVvjGlfX1x25/SLkmqkv1HvdGTJGWtEjd7urW4fXlC29S+L8xxji8Wt684c0Q/hNAGvKD447cWVKEkaVEMj45z9MSM23sAsH6VI/GStFgqEeI/DgwDbwshPH1qZwhhO/BWCqvT3Dht/zkhhAtCCNOXLLgNuBs4D/hACKG5eGwT8D+BbcCXY4yxAvVKkirkQMoo/OqedtrbmjOuRpIaR9khPsb4GPBmoAe4I4TwxRDCrcB3KKwNf0OM8dC0h3yFwo2hXjHtHBMUlpU8APwO8EgI4SYKF7G+EdgN3FBurZKkytqfcpOn9U6lkaRFVYmReGKMNwIvBb4LXAVcAdwOXBtj/OQ8z/EAcBnwoeKu64FW4MPAM4q/LEiSakjaRa0bvKhVkhZVxda5iTHeAtwyj+POnqXtIPB7xT+SpBqXNhLvRa2StLgqMhIvSWpMaSHe5SUlaXEZ4iVJCzIxOcnBlAtbnRMvSYvLEC9JWpDDx4eZmMzP2N/V3kJPV2sVKpKkxmGIlyQtyL60i1r7usjlchlXI0mNxRAvSVqQA2kXta5yKo0kLTZDvCRpQWYbiZckLS5DvCRpQRyJl6TqMcRLkkqWz+dnWSPekXhJWmyGeElSyY6fHOH0yPiM/S3NOfpWdFShIklqLIZ4SVLJ9hwaTNy/bmUXzU1+tEjSYvOdVpJUst2HTibudyqNJGXDEC9JKlnaSLx3apWkbBjiJUkl23MweSR+oyPxkpQJQ7wkqWS7U0biNzgSL0mZMMRLkkoyNDLO4eNDiW3rVzkSL0lZMMRLkkqyN2UUfnVPO+1tzRlXI0mNyRAvSSrJnpSVabyoVZKyY4iXJJUkbWUal5eUpOwY4iVJJUlfI96ReEnKiiFeklSS1JF4L2qVpMwY4iVJ8zYxOcm+/pQQ3+dIvCRlxRAvSZq3w8eHGZ/Iz9jf1d5CT1drFSqSpMZkiJckzdv+I6cT92/o6yKXy2VcjSQ1LkO8JGne9h85lbh/wyqn0khSlgzxkqR5Sx2Jd3lJScqUIV6SNG+pI/EuLylJmTLES5LmJZ/POxIvSTXCEC9JmpcTp8c4PTI+Y39Lc46+FR1VqEiSGpchXpI0L/sPJ0+lWbeyi+YmP04kKUu+60qS5mX/0eSpNOudSiNJmTPES5LmJW0k3otaJSl7hnhJ0rykjcR7UaskZc8QL0malwMpy0tudCRekjJniJckzWl4dJwjJ0YS29at6sy4GkmSIV6SNKeDR4cS96/qaaejrSXjaiRJhnhJ0pz2eadWSaophnhJ0pxS79S6yotaJakaDPGSpDmlXdS6oc+ReEmqBkO8JGlOjsRLUm0xxEuSZjUxOcnBY64RL0m1xBAvSZrV4ePDjE/kZ+zvam+hZ1lbFSqSJBniJUmzSp1Ks7qLXC6XcTWSJDDES5LmsP+oy0tKUq0xxEuSZrX/sPPhJanWGOIlSbNKG4lfb4iXpKoxxEuSUuXz+dSR+I1Op5GkqjHES5JSnTg9xumR8Rn7W5qb6FvRUYWKJElgiJckzSLtTq0b1yyjucmPEEmqFt+BJUmp9qUsL7l5bXfGlUiSpjPES5JS7U8Zid+8dnnGlUiSpjPES5JSpd3oaYsj8ZJUVYZ4SVKqtDnxjsRLUnUZ4iVJiUZGJzhyYiSxbZMj8ZJUVYZ4SVKiA0eTp9L0reiks70l42okSdMZ4iVJidIvanUUXpKqzRAvSUqUtrzklnXOh5ekajPES5ISpV/U6ki8JFWbIV6SlGh/ypz4La5MI0lVZ4iXJM0wMTnJwZQQ70i8JFWfIV6SNMPh48OMT+Rn7O9sb2HF8vYqVCRJms4QL0maYV/KfPiNq7vI5XIZVyNJOpMhXpI0w77DySF+Q9+yjCuRJCWp2N06QgjXAO8ALgHagB8A740xfqmMc34ReBHwghjj1ytRpyRpbvtTlpfcuNoQL0m1oCIj8SGE1wFfBq4E7gTuAJ4D3BpCuGGB53wDhQAvScpY2kj8xr6ujCuRJCUpO8SHEDYAHwEGgO0xxutjjNdRCPEngA+GEDaVeM5zgD8rtzZJUukm83lH4iWpxlViJP6NQDvw/hjjvVM7Y4x3Ae8DOoB5j8aHEJqATwCjwH0VqE+SVIJjJ0YYGZuYsb+ttYlVvR1VqEiSdKZKhPipKS83J7TdVNy+uITzvY3CtJzfBQ6UUZckaQHSVqbZsGoZTa5MI0k1oawQH0LIARcBk8ADCYc8VGy7uHjsXOe7BHgX8JkY4z+UU5skaWH2Ox9ekmpeuSPxKylMpTkSYxw9szHGOA4cBrqAWe/THUJoA/4eOA68ocy6JEkLlDoS73x4SaoZ5S7XexeSAAAgAElEQVQxOfWOnnwFVMFQcdtN4ULXNH9KYXnKV8QY+8usqyRtbS2sWTPr7xiLohrPWe/ss9LYX6Wxvwr6B0YS91/wlL4n9ZH9VTr7rDT2V2nsr9LVc5+VOxI/WdzOvDf3E3JnbGcIITwH+H+AT8YYk+bWS5IykM/n2X3wZGLb1vX1+2EnSUtNuSPxg8Vt5yzHTC1lkPj9bAhhGfB3wH4KK91kbnR0nIGBobkPrJCp3/r6+5M/KDWTfVYa+6s09tcTBgZHGBwam7G/pTlH8+QE/f0n7a8FsM9KY3+Vxv4qXTX6rLe3k7a2it1ntewQf4JCkO8LIbQU58D/RAihBegDhmOMx1PO8QbgHOAe4K9CCNPbLi5u/zCE8Hrgr2OM3yqzZklSin0p68OvW9VFc1NF7g8oSaqAskJ8jDEfQrgfeAZwPnD/GYcEClN2fjzLabqL20uKf5JcU9zeBhjiJWmRpN6p1YtaJammVGJM/1YKIf7lzAzxLy9uv5D24BjjuygsKzlDCOE24IXAC2KMXy+zTknSHNJXpnF5SUmqJZX4bvTjwDDwthDC06d2hhC2A2+lsDrNjdP2nxNCuCCE0FuB55YkVVD6GvGOxEtSLSk7xMcYHwPeDPQAd4QQvhhCuBX4DoW14W+IMR6a9pCvULgx1CvKfW5JUmWlzYl3Oo0k1ZaKXKUUY7wReCnwXeAq4ArgduDaGOMnK/EckqTFNTg0xolTM+7bRy5XuLBVklQ7KrbOTYzxFuCWeRx3dgnnvGbuoyRJlbA/ZT782pVdtLa4Mo0k1RLflSVJwGwr0zgKL0m1xhAvSQJgf9p8eC9qlaSaY4iXJAGuES9J9cQQL0kC0ufEb+hzOo0k1RpDvCSJ4dFxjpwYSWzbsMqReEmqNYZ4SVLqfPi+3g7a25ozrkaSNBdDvCQpdT78BufDS1JNMsRLktiXMh9+o/PhJakmGeIlSew/nDydxpF4SapNhnhJEnv6BxP3u0a8JNUmQ7wkNbihkXEODwwntm0yxEtSTTLES1KDS7uota+3g872loyrkSTNhyFekhpc2lQaR+ElqXYZ4iWpwe3tTx6J37y2O+NKJEnzZYiXpAbnSLwk1R9DvCQ1uL0pc+I3r3EkXpJqlSFekhrYwKlRTp4em7G/uSnH+tXe6EmSapUhXpIaWNpUmvWrumhp9iNCkmqV79CS1MDSLmrdtMb58JJUywzxktTAUi9qdT68JNU0Q7wkNbDU5SUdiZekmmaIl6QGNZnPp96t1ZF4SapthnhJalCHjw8xMjYxY397azN9vR1VqEiSNF+GeElqUGlTaTb2LaMpl8u4GklSKQzxktSg0i5qdT68JNU+Q7wkNag9qctLOh9ekmqdIV6SGtTuQ2nLSzoSL0m1zhAvSQ1oZHSCg0dPJ7ZtWetIvCTVOkO8JDWgPf2D5BP2r1zeTk9XW+b1SJJKY4iXpAa0K2UqjaPwklQfDPGS1IB2HzyZuH/ruuUZVyJJWghDvCQ1oLSR+K2OxEtSXTDES1KDmZzMsyctxK8zxEtSPTDES1KDOXjsNKPjkzP2d7Q107eiswoVSZJKZYiXpAaz62D6Ra1NuVzG1UiSFsIQL0kNZtehlIta13pRqyTVC0O8JDWY3Wkj8c6Hl6S6YYiXpAaSz+fZlbK85FkuLylJdcMQL0kNZODUKCdOj83Y39yUY2NfVxUqkiQthCFekhpI2kWtG1Z30drSnHE1kqSFMsRLUgPZnXJR6xYvapWkumKIl6QGkjYS702eJKm+GOIlqYE8fiBteUlDvCTVE0O8JDWIwaExDh0fSmzbut7pNJJUTwzxktQg0kbh167sZFlHa8bVSJLKYYiXpAaxc/+JxP1nOwovSXXHEC9JDSItxG/b0JNxJZKkchniJalBPJYyncYQL0n1xxAvSQ3g+OAIx06OzNify7m8pCTVI0O8JDWAx/Ynj8JvXL2MjraWjKuRJJXLEC9JDSD1otYNXtQqSfXIEC9JDWDnAS9qlaSlxBAvSUtcPp9PnU5z9npDvCTVI0O8JC1xRwaGGRwam7G/uSnHlrVe1CpJ9cgQL0lL3M6UpSU3r+2mtcWPAUmqR757S9IS95g3eZKkJccQL0lLXOrKNOtdmUaS6pUhXpKWsInJSXamXNTqSLwk1S9DvCQtYbsPDTIyNjFjf3tbMxv7uqpQkSSpEgzxkrSE7dgzkLj/nI09NDf5ESBJ9cp3cElawnbsTQ7x527qzbgSSVIlGeIlaQl7OGUk/tzNhnhJqmctlTpRCOEa4B3AJUAb8APgvTHGL5VwjhcDvw9cAXQD+4EvAu+JMe6pVK2S1AiOnhjm2MmRGftzwDkbDfGSVM8qMhIfQngd8GXgSuBO4A7gOcCtIYQb5nmOtwNfAK4BYvHvAL8J/DCEcEElapWkRpE2Cr9pTTed7RUbw5EkVUHZIT6EsAH4CDAAbI8xXh9jvI5CiD8BfDCEsGmOc1wEvAcYBJ4bY3x2jPHlwLnAjcAa4OPl1ipJjSTtotbznEojSXWvEiPxbwTagffHGO+d2hljvAt4H9ABzDUa/1qgGfiLGOMd084xRmF6TT/wrBDCWRWoV5IawsN7jyfudz68JNW/SoT4FxW3Nye03VTcvniOc4wC9wDfPLOhGOR3Fn/cuJACJanRDI+Os/vQYGKbK9NIUv0ra1JkCCEHXARMAg8kHPJQse3iEEIuxphPOk+M8Z3AO1OeY1nxOQC8uFWS5uHRfSfIJ7zj9na30dfbkX1BkqSKKnckfiWFqTRHYoyjZzbGGMeBw0AXsHyBz/E2CivV3BVj3L3QQiWpkaTOh9/USy6Xy7gaSVKllbs8wbLi9vQsxwwVt90ULnSdtxDC9RSWrZwE3lpydfPU1tbCmjUL/R1j4arxnPXOPiuN/VWapdRfj6dMpbk0rKvYv3Mp9VdW7LPS2F+lsb9KV899Vm6InyxuE6fJFOXO2M5LCOElwL9QuOD17THGr5dcnSQ1oPGJSR58/Ghi20XbVmVcjSRpMZQb4qeGejpnOWZq8uWp+Z40hPBrwF9TqO/dMcb/b2Hlzc/o6DgDA0NzH1ghU7/19fefzOw56519Vhr7qzRLrb927BlgaGRixv621iaWtzWV/e9cav2VBfusNPZXaeyv0lWjz3p7O2lrq9w9OsqdE3+CQpDvCyHMqKq4rw8YjjEmr3U28zF/CvwthRH4NxUvepUkzdMDKaPw529eQUtzRe7xJ0mqsrLezYurzdxPIXCfn3BIKD7Hj+c6VwghF0L4GPBHwAjwCzHGD5RTnyQ1ogceP5a4/8KzVmZciSRpsVRiSObW4vblCW1T+74wj/P8OfDrFEb3r4sxfroCtUlSQxkdm2DH3uQ1BC482xAvSUtFJUL8x4Fh4G0hhKdP7QwhbKewoswQcOO0/eeEEC4IIfRO2/ci4E3AOPCSGOM3KlCXJDWcR/YOMD4xOWN/V3sLW9fW7yoMkqQnK3t2fYzxsRDCm4EPA3eEEL5CYSWany6e/5djjIemPeQrwFnArwL/u7jvXcXtQeC3Qgi/lfJ0/z3GmHRTKUkScH/KVJqwdQVNTa4PL0lLRUUukY0x3hhC2EVh5P0qCnPab6cQur8y22NDCF3AFcUfNwGvmeXwj5F8Z1hJEvCg8+ElqSFUbJ2bGOMtwC3zOO7sM34+TeHCWElSGYZGxtm5P3m5tAvPdn14SVpKXGtMkpaIh3YfZzI/8957Pcva2Li6qwoVSZIWiyFekpaI2ZaWzOWcDy9JS4khXpKWCNeHl6TGYYiXpCXg2MkRdh8aTGwzxEvS0mOIl6Ql4O5HDifuX7OigzUrOjOuRpK02AzxkrQE3LPjSOL+S8/py7gSSVIWDPGSVOdGxya4//GjiW2XnmuIl6SlyBAvSXXuwV3HGR2bnLG/vbWZ87esqEJFkqTFZoiXpDp3T8p8+Iu3raK1xbd5SVqKfHeXpDqWz+e5O3U+/OqMq5EkZcUQL0l1bN/hUxw5MZzYdokhXpKWLEO8JNWxux9JHoU/e/1yervbM65GkpQVQ7wk1bG7dyTPh3dVGkla2gzxklSnjg+OsGPPQGLbpec6lUaSljJDvCTVqe8/eIh8wv7e7ja2rlueeT2SpOwY4iWpTt354KHE/dvPX0tTLpdxNZKkLBniJakOHT0xnDqV5ooL12ZcjSQpa4Z4SapDdz6QPAq/cnk7527uzbgaSVLWDPGSVIfuevBg4v4rLnAqjSQ1AkO8JNWZQ8eH2Ln/ZGLbMy5cl3E1kqRqMMRLUp2564HkUfi+3g62bXBVGklqBIZ4SaozafPhr7hwLTmn0khSQzDES1Id2XXwJLsPDSa2PeMCp9JIUqMwxEtSHbn9nv2J+9et6mLruu6Mq5EkVYshXpLqxNj4JHfcdyCx7TlPXe9UGklqIIZ4SaoTP9pxmFPD4zP253Jw5VPXV6EiSVK1GOIlqU58/T/2Ju5/6rbVrOrpyLgaSVI1GeIlqQ7sO3yKBx4/lth21SUbMq5GklRthnhJqgNpo/A9y9q47Ly+jKuRJFWbIV6SatzQyDjfvjf5gtbnXbqRlmbfyiWp0fjOL0k17lv37GdoJPmC1qsv21iFiiRJ1WaIl6QaNjE5yZfv2p3Ydtm5fV7QKkkNyhAvSTXsB7GfIyeGE9t+5ootGVcjSaoVhnhJqlH5fJ5bvvN4YttZ65dz/pYVGVckSaoVhnhJqlF37zjCnv7BxLbrrtjiHVolqYEZ4iWpBuXzeT73nZ2JbX29HWy/YG3GFUmSaokhXpJq0I8ePszO/ScT265/9lkuKylJDc5PAUmqMZOTeT77zUcT21Yub+c5T/UOrZLU6AzxklRj7rjvAHsPn0psu/5ZZ9Ha4lu3JDU6PwkkqYYMj47zL994JLGtr7eD53tzJ0kShnhJqimfv+NxBgZHE9te9txtzoWXJAGGeEmqGfuPnOJLd+5KbNu8pptnX7w+44okSbXKEC9JNSCfz/P3X4qMT+QT23/xmvNoanJdeElSgSFekmrAt+7Zz4O7jie2XX5eHxeetTLjiiRJtcwQL0lVdvj4EP/4lYcT29pamviFF56XcUWSpFpniJekKpqYnORjn3+AkdGJxPaXXbWNNSs6M65KklTrDPGSVEWf+fqjPLQ7eRrN1rXdXLt9S8YVSZLqgSFekqrk+w8e4taU1Wiam3L8+s9e5JKSkqREfjpIUhXsP3KKv/3CA6ntL79qG1vWdmdYkSSpnhjiJSljA6dG+ct/uSd1HvzF21bx4meelXFVkqR6YoiXpAydHh7jL/7Pjzh4bCixfXVPO7/5ny52TXhJ0qwM8ZKUkZHRCT7wL/ew+9BgYntLc47ffsXT6O5szbgySVK9aal2AZLUCE4Pj/NXn72HHXsGUo95zbXns21DT4ZVSZLqlSFekhbZsZMjvP/Td7OnP3kEHuBFz9jK8y/blGFVkqR6ZoiXpEW0p3+QD/zz3Rw9MZJ6zPMu3cDPv+CcDKuSJNU7Q7wkLYJ8Ps/t9+znU19+iNHxydTjtl+wll++7gJyOS9klSTNnyFekirs9PA4n/z3yHfvPzjrcZed28cNL73IlWgkSSUzxEtSheTzee584BD/9NWHGRgcnfXY5126kddedz7NTS4SJkkqnSFekipg18GTfPprO7j/sWNzHvvyq7bx0ivPdgqNJGnBDPGSVIY9hwb512/v5Aexf85j21qaeO11gec8bUMGlUmSljJDvCSVaHIyz907DvPV/9jLfTuPzusxm9Ys47de9lQ29S1b5OokSY3AEC9J85DP59l1cJA7HzjI9x44OOuSkWd6/mUb+cUXnkdba/MiVihJaiSGeElKMTo2Qdx9nB8/coR7Hj3CoWNDJT1+w+oufvm6QNi6cpEqlCQ1qoqF+BDCNcA7gEuANuAHwHtjjF8q4RznA38CPBdYDewAPgrcGGNMX2hZksqUz+c5MjDMI/sG2LF3gEf3neDxAyeZmMyXfK721mZ+9sqzuO4ZW2lpdvUZSVLlVSTEhxBeB3wcGAG+CjQDLwBuDSH8Zozxo/M4x6XAN4Ee4NvAXcVzfAh4FvBLlahVUmMbGZ3gyIlhDg8Mc+DoafYdPkX/wDC7D55kcGisrHO3tTbxwp/azHXP3EpPV1uFKpYkaaayQ3wIYQPwEWAAeG6M8d7i/iuA24APhhA+H2PcO8s5csAnKAT418YYP1ncv6Z4jteEEG6KMX6m3HolLR35fJ6x8UmGRicYHhlnaHScU8PjnDw1yonTY5w8PcrAqVFOnhrl+KlRjgwMlx3Uk3R3tvL8yzZy7fYt9CwzvEuSFl8lRuLfCLQD/+9UgAeIMd4VQngf8B7gBuCds5zjWgrTcL4+FeCL5+gPIfw2cDvwe8CSCPETE5PsO3yKw0cGZzbO8s19WlM+X/rX/Qt4CPmUChZ0rln/nTMbj54eIw8cP3Y64fjZnmj+zzGf2tIfU9qDZv/3l/6gM1tWHBsG4NjAzP6a64lS+2aOmicm8+Qn80zm80wUt/lJzvh56u+FFV7y09omJvKMTUwyNv7En/Gpn5+0f4Lh0cKfoZHxBU13qZRzN/Xygss3sf2CtbS2OG1GkpSdSoT4FxW3Nye03UQhxL+Y2UN86jlijN8OIRwCnhtCWB5jPFlOsdV22/d386+37+TU8Hi1S5G0AFvXdvOMi9ZxxQVrWbOis9rlSJIaVFkhvjgN5iJgEngg4ZCHim0XhxByMca0IbOLi9t7U9ojsLb4XN9beMXVdd/Oo/zDbQ9XuwxJJejubCVsXcHTnrKap25bxaqejmqXJElS2SPxKylMpemPMY6e2RhjHA8hHKYQwJcDJ1LOM3X7wv0p7VP715VRa6q2thbWrFm+GKd+knj7zkV/DkkL19LcxNb1y7ngrJWEs1Zxwdkr2bB6Gblcrtql1aQs3jeXGvusNPZXaeyv0tVzn5Ub4qduPTjLxFumFlbuJj3Ez3We6eeoW73d7dUuQWp4TTlY1dvJ2pWdrF3VxZa1y9mybjlnrV/OulVdNLskpCSpDpQb4qfWbp/tyrLcGduFnGc+51iw0dFxBgZKu4nLQjz1rBV0d7YuyuoYUqNqbsrR2d5CZ3sznW0tdLS3sLyrlZ6uNpZ3tdK7rI3lXW30LGtj5fJ2Vi5vn7F2+9RITH9/XV9ykxn7q3T2WWnsr9LYX6WrRp/19nbS1la5+6yWe6ap5VVmu7pragLpqTLOM59z1Lx1K7t423+5nG/de5CHdh1jbGwi+cBZflVJb5qlJaUp9RGzPn+pJ0tvmn2GwpMbW1sLoWt8PPmeXyWcatru0oue7XnS+zO5ZdZzLeDX1elTPlpbmwHSX2NzPE+p/xYohOmmXI5crvj3n/ycK/5M4eemHM25J9qbprW1tTbT2txEa0sTLcXtT/5M29/R1kxHewtd7c20NDc53UWS1HDKDfEnKATwvhBCS4zxSUuuhBBagD5gOMZ4fJbz7AMuA9YDDya0zzVnvm5sWtPNG19d+Of4G/P8OcpQGvtLkqSlrazJn8XVZu6ncIfW8xMOCcXn+PEcp5paleaiGScorIBzATBRfC5JkiSpoVXiCq5bi9uXJ7RN7ftCGee4ElgD3F7va8RLkiRJlVCJEP9xYBh4Wwjh6VM7QwjbgbdSWFnmxmn7zwkhXBBC6J12jm8A9wHXhhB+Y9qxa6Y99s8rUKskSZJU98oO8THGx4A3Az3AHSGEL4YQbgW+Q2Ft+BtijIemPeQrFG4M9Ypp55gEfo3C/PqPhhC+G0L4LIWbPF0C/E2M8XPl1ipJkiQtBRVZEDnGeCPwUuC7wFXAFcDtwLUxxk/O8xx3As8EPgOcB/wM8DjwW8AbKlGnJEmStBRUbLHKGOMtwC3zOO7sWdruB15VqZokSZKkpchbE0qSJEl1xhAvSZIk1RlDvCRJklRnDPGSJElSnTHES5IkSXXGEC9JkiTVGUO8JEmSVGcM8ZIkSVKdMcRLkiRJdSaXz+erXUM17QE2TU7mGR+fyOxJ29oKN8odHR3P7DnrnX1WGvurNPZXaeyv0tlnpbG/SmN/la4afdbS0kxTUw5gL7C53PM1eog/DvRWuwhJkiQ1jAFgRbknaalAIfVsJ7ANGAR2VLkWSZIkLV3nAt0U8mfZGn0kXpIkSao7XtgqSZIk1RlDvCRJklRnDPGSJElSnTHES5IkSXXGEC9JkiTVGUO8JEmSVGcM8ZIkSVKdMcRLkiRJdcYQL0mSJNUZQ7wkSZJUZwzxkiRJUp0xxEuSJEl1xhAvSZIk1RlDvCRJklRnDPGSJElSnTHES5IkSXWmpdoFNIoQQifwZuDVwLlAHngQ+N/Ah2OMkwmPuQZ4B3AJ0Ab8AHhvjPFLGZVdM0II7wLeCWyJMe5JaL8K+OYsp/hUjPGXFqm8mjRXnxWP2V485gqgG7gP+GCM8R+yqrPWhBD+GHj3LIf8RozxY1nVU2t8XypNCOG1wCdmOeS/xxj/KKt6alEI4XXAx4GrYoy3J7SfD/wJ8FxgNbAD+ChwY9Jn51I3W3+FELYAu2Z5+LdjjM9dxPJqQgihGXgD8CvAhUAz8CjwT8CfxRiHzzi+Lj8LDfEZCCF0A18DtgNHgW9Q+PB7FvCXwAtDCD8XY5yY9pjXUfiPdAT4KoUX4AuAW0MIvxlj/Gim/4gqCiG8HPjDOQ67vLj9DrAzof3bFS2qxs2nz0II1wKfp/CN3DeA08ALgU+FEC6OMc7V50vV1GvpJgp9cqYdGdZSU3xfWpCp19OXgUMJ7T/KsJaaE0J4NvChWdovpTBA00PhffwuCq+5D1H4DG20wZlZ+4snXm/3AD9OaI8VL6rGFAP8vwIvAQaB7wJjFF4v7wZeEkL46Rjj6eLxdftZaIjPxh9SCPBfAV4VYzwOEEI4G/h34GXA64G/Lu7fAHwEGACeG2O8t7j/CuA24IMhhM/HGPdm/O/IXAjht4EPMPdrdeqN660xxoYK7GeaT58Vvxn6ZPHHa2OMXyvuPwf4OvCOEMJnY4w/WORya9HlwDDw6hjjeLWLqRW+Ly3Y1HvTr9o3TxZCeCWFb6O7U9pzFL7F6AFeG2P8ZHH/GgqvudeEEG6KMX4mm4qra67+Kpp6vb0vxvipRS+qNr2eQoC/B7h+6r+7EEIf8G/As4E/Bv6g3j8LnROfjV8pbm+YCvAAMcbHgLcUf/yFace/EWgH3j/1QVk8/i7gfUAHcMNiFlxtIYQLQgifBz5MITScnOMhlwOTNPCoVol99lpgLYVpRl+b2hljfAR4e/HH31usWmtVCGEFcDZwtwF+hoZ/X1qgy4CDBvgnhBA2hxA+AXyGwrc5B1MOvZbCtK2vTwV4gBhjP/DbxR+X/PtUCf0FT4T4mgydGXldcfv70/+7izEepjDFBp7IXHX9WWiIX2TFqTQPA3fGGB9NOOSh4nbjtH0vKm5vTjj+puL2xZWpsGZ9BLiewlfQT6cwDSlRCKENuAh4MMZ4KpvyatK8+4zZX2OfAyZY+q+xJH4ApvN9qUQhhG3ACnw9nek9FMLT9ylMcXgw5bjU11zxG9dDwHNDCMsXo8gaMt/+gsJ72CBPZItGdJhCH92Z0HZm5qrrz0Kn0yyyGOMg8PxZDrmiuN0DP/n68CIKo8oPJBz/ULHt4hBCLsaYr2C5teQu4M9jjJ8DCCHMduxTgVbgsRDCe4CfozCaeoDCyMV7pn8DsoSV0mcXF7f3ntkQYzwRQtgHbAkhrIsxzjbqs9RMhfhTIYS/A66mMErzEPAxUi5CX+p8X1qwqdfTwRDChyiEgc3A4xS+wp9xgV2DeJDCN9SfjDFOzvJelfo+VRQp/Pd5EfC9ilZYW+bVXyGEVcBW4IfAfy1eVH0ecBy4BXhXjHFfNiVXT4zxpbM0PylzUeefhYb4KgohtANTqxJMzelbSeEr6/4Y4+iZj4kxjocQDlN441oOnMii1qzFGN8y91E/MfVBeT2FX5i+QeE/0CsorAj00hDCc4tfwS5ZJfbZhuJ2f0r7fmALsI7Zv7pdaqZeS28B9lEIBhsofLPxl8DVIYSfb8Ag7/vSwvxkPjxwDPgWsJfCNVLvBl4UQrgmxjhUpfqqIsb43nkeOp/3KSi8Ty1ZJfTX1Ovtp4Cn8eTPwt+g8Fl4dYxxyV/cmqQ4GDG18thU5qrrz0JD/AKEED5F4UN9LjfFGP8g5Rw54G8p/Jb8QPHvAMuK26RVMaZMveF3UwcflpXorzlMvXF9A/j5qbBevIjlnyhcZf4RCiP0dSGDPpt6naWFh+mvsbq1gH6cei19EHhLjHGseJ5LKVwQ9Urgd5h9dYilaMm9L2Vk6vX0aeDXpqb7FRc1uBm4ksJUiTdXpbraN9frbkm8T1XQ1OvtPuClMcadACGEZcDfAL8IfIrCL5GN6H9QGOg7CPxZcV9dfxYa4hfmLGDWuQpFG5J2Fpc/+hjwGgqjM6+MMY4Um6dG+Gb7Ojp3xrbWldVf8/AmCqOk+2OMP7mYM8Z4OITwyxS+6n9FCGFDjDHtt+1as9h9NgHMNu2h3l5jaUrtx2cC24D7pvdNjPHuEMLvUQhejRjil+L7UhZeBTwF2DH9G4wY42PF5Tp/CNwQQnj71C+MepK5Xne+5p7s/RRGmE8WL+IEIMZ4KoTwevi/7d1bqFRVHMfxr+GDmkmCXV5CCvFnUVFZUto5puKFwMiCQ3SRHlKspy5QDz0EIhaBPhgIZeZjdJGgyELsYlpJDxYJwnoTFBNEKtOofLCH/9o6jjNzOnbOzFln/z4gmzN7Zths1177P2vt9f/TD8yWdHdKaV+vDrIXJK0lFqr+TWQeq2bmi74XOoi/BP+nUEL+RfwusJxYeLgkpdS4SOVU3k7s8DUT8raIRZwjXVgi3/xaLuJJKR2VtB/oI6YYPx3JYxkuXSjGcRq4UtKENs/kFtXG2hnqecwjpe2ev91BdPiSdHnNFlGPuX6pG/K1dbDNvp8kHZZnU6IAAAS2SURBVCGm6mcSo6d2ocHandtcg1xrplWdFFJKf0r6klggO5vInT7mSRpPZGxbTaQOfiil1FgYsuh7obPTdJGka4hHPpYTz6n1t8g9epLouKblxtf8HeOBacBfNVmsORyO5e2knh7F6FItbrq2zf7BnhOsnfxjscr4U7e25H5pZLhv6sz91PCqVXvL2QE/IQL434ClKaXPmt5WdBtzEN8lkqYD3xO/gA8A96SULhp5yVM6B4lcsDNbfRXx/9aqElstSdok6SNJV7d5y/V5e6TN/jqqRptvat4haQqRfuv4aFyNP1IkTZe0VdKWNvsnA1cRz0h2St855rhfGjpJV0h6S9KHrX74ZFXf5BzyrXXqp8YBs4jZsZazHXUj6ZXc3m5p85ba3AslTSWKNS0DDgN9TSPwlaLvhQ7iuyCnfdpFXEDfEI2p00X0ed4+2GJf9dqO4TvC4s0jzstFaaUk3Uws9jmBczU36tTGlhPBWt3a2ElgJfCUpBkt9j+Rt7vytHXduF8amlPACmJB/UVphiUtI2YvDtQh7d8l6tTm5hI/qvc2roWquVuJ9jbQvCMPci0BzgBfNe8fS3LtmB3EoOlBYG5jgbomRd8LHcR3x2ZgBvAjsCyl9Psg799GPLv1kqRzmTUk3Qm8SIwEbh6hYy3Rm3m7XtKs6sVcmnsbcRG+3io1Xo1tJwqlPCnp/upFSTcArxELyTb26Nh6IqX0K/BB/nNrrt4KQL4O1xEL7db34PBGA/dLQ5BnL6pZnTcknSvol0u6V+dqXbePrSC7ibUCiyWtql7MfXt1/jb04sBGqepe+IKkedWLeRbxHWAK8HZK6VirD48ha4miWIeB+wYZNC36Xjju7FnX5BhJkm4kOqFxxCj84TZvPZ5Seq7hc88QizHOAF/kzy8kFiOvbCxBXQeSDhGZRq5rviAlXQa8R2SC+IfIxXwaWEDkrH4feLRuo6edzlne/wDny3jvBv4g0nFOAl5OKdUuWM3BwR7i8ZATwHdEarF+YtDj2ZTSpt4dYW+5XxoaSROBncC9xMj83rxrAZF3f2NKqfbpJSV9TcxW9KWU9jbtm0O0tclE3YajRBG2qcCWlNLqrh7sKDDI+doAPE8MOHxLVC/tI2Z99hADiZ1SxRYtP/lwhFgMvZ/WxekASCk9nj9T7L3QI/Ejbz7nUxP1E2klW/1b0fihlNJmYipnH3EB3kXcABb7RnmhXHhnAFgD/ExMsy4iLt5VwCN1C+D/i5TSx0T73Ek8cjSfOH8Do7nTGkk57dgc4FXiufelwG3EOVpY5wAe3C8NVS7itIhIbXeICN7nEufvYQfwg0sp/UCkft1O1FVZQlS8XQM83cNDG5VymxogAvjbiWfCfyFmyxaN5QA+m8P5bEZ30D7meqz6QMn3Qo/Em5mZmZkVxiPxZmZmZmaFcRBvZmZmZlYYB/FmZmZmZoVxEG9mZmZmVhgH8WZmZmZmhXEQb2ZmZmZWGAfxZmZmZmaFcRBvZmZmZlYYB/FmZmZmZoVxEG9mZmZmVhgH8WZmZmZmhXEQb2ZmZmZWGAfxZmZmZmaFcRBvZmZmZlYYB/FmZmZmZoVxEG9mZmZmVhgH8WZmZmZmhfkXPibFZaPLgrkAAAAASUVORK5CYII=\n",
    
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 254,
           "width": 376
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "sns.lineplot(pts, 1/(1+np.exp(-pts))) ;"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "* tanh\n",
        "\n",
        "\\begin{equation*}\n",
        "f(z) = \\frac{e^{z} - e^{-z}}{e^{z} + e^{-z}}\n",
    
        "\\end{equation*}"
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 40,
    
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": "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\n",
    
          "text/plain": [
           "<Figure size 432x288 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 254,
           "width": 389
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "sns.lineplot(pts, np.tanh(pts*np.pi)) ;"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "* **ReLU (Rectified linear unit)**\n",
    
        "\\begin{equation*}\n",
        "f(z) = \\mathrm{max}(0,z)\n",
        "\\end{equation*}"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 41,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": "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\n",
    
    chadhat's avatar
    chadhat committed
          "text/plain": [
    
           "<Figure size 432x288 with 1 Axes>"
    
    chadhat's avatar
    chadhat committed
          ]
         },
         "metadata": {
    
          "image/png": {
    
           "height": 254,
           "width": 383
    
    chadhat's avatar
    chadhat committed
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
    
        "pts_relu=[max(0,i) for i in pts];\n",
        "plt.plot(pts, pts_relu) ;"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
    chadhat's avatar
    chadhat committed
        "are some of the commonly used as activation functions. Such non-linear activation functions allow the network to learn complex representations of data."
    
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "<div class=\"alert alert-block alert-warning\">\n",
        "<p><i class=\"fa fa-warning\"></i>&nbsp;\n",
        "ReLU is very popular and is widely used nowadays. There also exist other variations of ReLU, e.g. \"leaky ReLU\".\n",
        "</p>\n",
        "</div>"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "<div class=\"alert alert-block alert-info\">\n",
        "<p><i class=\"fa fa-warning\"></i>&nbsp;\n",
        "Why don't we just use a simple linear activation function?\n",
        "    \n",
        "Linear activations are **NOT** used because it can be mathematically shown that if they are used then the output is just a linear function of the input. So we cannot learn interesting and complex functions by adding any number of hidden layers.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "The only exception when we do want to use a linear activation is for the output layer of a network when solving a regression problem.\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "</p>\n",
    
    chadhat's avatar
    chadhat committed
        "</div>"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### Google Playground\n",
        "\n",
        "A great tool from Google to develop a feeling for workings of neural networks.\n",
        "\n",
        "https://playground.tensorflow.org/\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "<img src=\"./images/neuralnets/google_playground.png\"/>\n",
    
    chadhat's avatar
    chadhat committed
        "Some concepts to look at:\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
    chadhat's avatar
    chadhat committed
        "* Effect of activation functions\n",
        "* Effect of network size"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Introduction to Keras"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "### What is Keras?\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
        "* It is a high level API to create and work with neural networks\n",
    
        "* Supports multiple backends such as **TensorFlow** from Google, **Theano** (Although Theano is dead now) and **CNTK** (Microsoft Cognitive Toolkit)\n",
        "* Very good for creating neural nets quickly and hides away a lot of tedious work\n",
    
        "* Has been incorporated into official TensorFlow (which obviously only works with tensforflow) and as of TensorFlow 2.0 this will the main api to use TensorFlow (check reference)\n"
    
    chadhat's avatar
    chadhat committed
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 42,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "_________________________________________________________________\n",
          "Layer (type)                 Output Shape              Param #   \n",
          "=================================================================\n",
          "dense_11 (Dense)             (None, 4)                 12        \n",
          "_________________________________________________________________\n",
          "dense_12 (Dense)             (None, 4)                 20        \n",
          "_________________________________________________________________\n",
          "dense_13 (Dense)             (None, 1)                 5         \n",
          "_________________________________________________________________\n",
          "activation_3 (Activation)    (None, 1)                 0         \n",
          "=================================================================\n",
          "Total params: 37\n",
          "Trainable params: 37\n",
          "Non-trainable params: 0\n",
          "_________________________________________________________________\n"
         ]
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
        "# Say hello to keras\n",
        "from keras.models import Sequential\n",
        "from keras.layers import Dense, Activation\n",
        "\n",
        "# Creating a model\n",
        "model = Sequential()\n",
        "\n",
        "# Adding layers to this model\n",
        "# 1st Hidden layer\n",
    
        "# A Dense/fully-connected layer which takes as input a \n",
        "# feature array of shape (samples, num_features)\n",
    
        "# Here input_shape = (2,) means that the layer expects an input with num_features = 2\n",
    
        "# and the sample size could be anything\n",
    
        "# The activation function for this layer is set to \"relu\"\n",
        "model.add(Dense(units=4, input_shape=(2,), activation=\"relu\"))\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "# 2nd Hidden layer\n",
        "# This is also a fully-connected layer and we do not need to specify the\n",
        "# shape of the input anymore (We need to do that only for the first layer)\n",
    
    chadhat's avatar
    chadhat committed
        "# NOTE: Now we didn't add the activation seperately. Instead we just added it\n",
    
        "# while calling Dense(). This and the way used for the first layer are Equivalent!\n",
        "model.add(Dense(units=4, activation=\"relu\"))\n",
        "\n",
        "          \n",
    
    chadhat's avatar
    chadhat committed
        "# The output layer\n",
        "model.add(Dense(units=1))\n",
        "model.add(Activation(\"sigmoid\"))\n",
        "\n",
        "model.summary()"
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### XOR using neural networks"
       ]
      },
    
    chadhat's avatar
    chadhat committed
      {
       "cell_type": "code",
    
       "execution_count": 43,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
       "outputs": [],
    
    chadhat's avatar
    chadhat committed
       "source": [
    
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
    
        "import seaborn as sns\n",
    
        "from sklearn.model_selection import train_test_split\n",
        "from keras.models import Sequential\n",
        "from keras.layers import Dense\n",
        "import numpy as np"
    
       "cell_type": "code",
    
       "execution_count": 44,
    
    chadhat's avatar
    chadhat committed
       "metadata": {},
    
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": [
           "<Figure size 360x360 with 1 Axes>"
          ]
         },
         "metadata": {
          "image/png": {
           "height": 320,
           "width": 332
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
    chadhat's avatar
    chadhat committed
       "source": [
    
        "# Creating a network to solve the XOR problem\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "# Loading and plotting the data\n",
        "xor = pd.read_csv(\"xor.csv\")\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "# Using x and y coordinates as featues\n",
        "features = xor.iloc[:, :-1]\n",
        "# Convert boolean to integer values (True->1 and False->0)\n",
        "labels = xor.iloc[:, -1].astype(int)\n",
    
    chadhat's avatar
    chadhat committed
        "\n",
    
        "colors = [[\"steelblue\", \"chocolate\"][i] for i in xor[\"label\"]]\n",
        "plt.figure(figsize=(5, 5))\n",
        "plt.xlim([-2, 2])\n",