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    {
     "cells": [
    
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      {
       "cell_type": "code",
    
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       "metadata": {},
    
       "outputs": [
        {
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       "source": [
        "# IGNORE THIS CELL WHICH CUSTOMIZES LAYOUT AND STYLING OF THE NOTEBOOK !\n",
        "import matplotlib.pyplot as plt\n",
    
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        "import matplotlib as mpl\n",
    
        "import seaborn as sns\n",
        "sns.set(style=\"darkgrid\")\n",
    
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        "mpl.rcParams['lines.linewidth'] = 3\n",
    
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        "%matplotlib inline\n",
        "%config InlineBackend.figure_format = 'retina'\n",
    
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        "%config IPCompleter.greedy=True\n",
    
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        "import warnings\n",
        "warnings.filterwarnings('ignore', category=FutureWarning)\n",
    
        "from IPython.core.display import HTML; HTML(open(\"custom.html\", \"r\").read())"
    
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       ]
      },
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Introduction to Neural Networks\n",
        "\n",
        "\n",
        "## History of Neural networks\n",
        "\n",
        "\n",
        "1943 - Threshold Logic\n",
        "\n",
        "1940s - Hebbian Learning\n",
        "\n",
        "1958 - Perceptron\n",
        "\n",
        "1980s - Neocognitron\n",
        "\n",
    
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        "1982 - Hopfield Network\n",
    
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        "\n",
    
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        "1989 - CNN kernels trained via backpropagation\n",
    
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        "\n",
    
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        "1997 - Long-short term memory (LSTM) model\n",
    
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        "\n",
    
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        "1998 - LeNet-5\n",
        "\n",
        "2014 - Gated Recurrent Units (GRU), Generative Adversarial Networks (GAN)\n",
        "\n",
        "2015 - ResNet"
    
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       ]
      },
      {
       "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",
    
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        "</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"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "## Building blocks\n",
        "### Perceptron\n",
        "\n",
    
        "The smallest unit of a neural network is a **perceptron** like node.\n",
    
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        "\n",
        "**What is a Perceptron?**\n",
        "\n",
    
        "It is a simple function which can have multiple inputs and has a single output.\n",
    
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        "\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",
    
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        "\n",
        "\\begin{equation*}\n",
    
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        "weighted\\_sum = w_{1} x_{1} + w_{2} x_{2} + w_{3} x_{3} + ...\n",
    
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        "\\end{equation*}\n",
        "\n",
    
        "Step 2: A **step** activation function is applied\n",
    
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        "\n",
        "$$\n",
        "f(weighted\\_sum) = \\left\\{\n",
        "        \\begin{array}{ll}\n",
    
        "            0 & \\quad weighted\\_sum < threshold \\\\\n",
        "            1 & \\quad weighted\\_sum \\geq threshold\n",
    
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        "        \\end{array}\n",
        "    \\right.\n",
        "$$\n",
    
        "You can see that this is also a linear classifier as the ones we introduced in script 02."
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "metadata": {
        "tags": [
         "hidecode"
        ]
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\n",
    
           "<matplotlib.figure.Figure at 0x7fb5a5c5f390>"
    
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 283,
           "width": 395
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
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        "# 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)') ;"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "metadata": {},
    
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       "outputs": [],
    
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       "source": [
        "import numpy as np\n",
    
        "import matplotlib.pyplot as plt\n",
    
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        "def perceptron(X, w, threshold=1):\n",
    
        "    # This function computes sum(w_i*x_i) and\n",
    
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        "    # applies a perceptron activation\n",
    
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        "    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",
    
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        "    return output"
    
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       ]
      },
      {
       "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,
    
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       "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"
         ]
        }
       ],
    
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       "source": [
        "# Calculating Boolean AND using a perceptron\n",
    
        "threshold = 1.5\n",
    
        "# (w1, w2)\n",
    
        "w = [1, 1]\n",
    
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        "# (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])"
    
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       ]
      },
    
      {
       "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",
    
       "metadata": {},
       "outputs": [],
       "source": [
    
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        "def perceptron_DB(x1, x2, w, threshold):\n",
        "    # Plotting the decision boundary of the perceptron\n",
    
        "    plt.scatter(x1, x2, color=\"black\")\n",
    
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        "    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",
    
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        "    sns.lineplot(x1, x2, **{\"color\": \"black\"})\n",
    
        "    plt.xlabel(\"x$_1$\", fontsize=16)\n",
    
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        "    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",
    
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       "metadata": {},
    
          "image/png": 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\n",
    
           "<matplotlib.figure.Figure at 0x7fb5986fbb70>"
    
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 286,
           "width": 413
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
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        "# Plotting the perceptron decision boundary\n",
        "perceptron_DB(x1, x2, w, threshold)"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "### Exercise section\n",
        "* Compute a Boolean \"OR\" using a perceptron?**\n",
    
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        "\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",
    
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       "metadata": {},
       "outputs": [],
       "source": [
        "# Calculating Boolean OR using a perceptron\n",
        "# Edit the code below"
       ]
      },
      {
       "cell_type": "code",
    
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       "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",
    
           "<matplotlib.figure.Figure at 0x7fb59ae1fa20>"
    
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 286,
           "width": 413
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
        "# Solution\n",
        "# Calculating Boolean OR using a perceptron\n",
        "threshold=0.6\n",
    
        "# (w1, w2)\n",
    
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        "w=[1,1]\n",
    
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        "# (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)"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "### Exercise section\n",
        "* Create a NAND gate using a perceptron\n",
    
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        "\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 |"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "metadata": {},
       "outputs": [],
       "source": [
    
        "# Calculating Boolean NAND using a perceptron\n"
    
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       ]
      },
    
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      {
       "cell_type": "code",
    
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       "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",
    
           "<matplotlib.figure.Figure at 0x7fb598807278>"
    
          ]
         },
         "metadata": {
          "image/png": {
    
           "height": 286,
           "width": 413
    
          },
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
        "# Solution\n",
    
        "# Calculating Boolean NAND using a perceptron\n",
    
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        "import matplotlib.pyplot as plt\n",
        "threshold=-1.5\n",
    
        "# (w1, w2)\n",
    
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        "w=[-1,-1]\n",
    
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        "# (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)"
    
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       ]
      },
    
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      {
       "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",
    
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        "\n",
    
        "**WHAT CAN WE DO?**\n",
        "\n",
        "\n",
    
        "Hint: Think about what is the significance of the NAND gate we have created above?\n",
    
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        "\n",
    
        "Answer: We said a single perceptron can't compute a \"XOR\" function. We didn't say that about **multiple Perceptrons** put together."
    
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       ]
      },
      {
       "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>"
    
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       ]
      },
    
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      {
    
       "cell_type": "markdown",
    
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       "metadata": {},
       "source": [
    
        "### Multi-layer perceptrons\n",
        "\n",
        "The normal densely connected neural network is sometimes also called \"Multi-layer\" perceptron."
    
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       ]
      },
    
      {
       "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",
    
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        "\n",
        "Generally **crossentropy** and **mean squared error** loss functions are used for classification and regression problems, respectively.\n",
    
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        "<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",
    
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        "\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",
    
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        "\n",
    
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        "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",
    
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        "\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",
    
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        "\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",
    
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        "\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": [
    
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        "### 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": 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\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,
    
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    chadhat committed
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
    
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          "text/plain": [
    
           "<Figure size 432x288 with 1 Axes>"
    
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          ]
         },
         "metadata": {
    
          "image/png": {
    
           "height": 254,
           "width": 383
    
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          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
        "pts_relu=[max(0,i) for i in pts];\n",
        "plt.plot(pts, pts_relu) ;"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "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",
    
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        "\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",
    
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        "\n",
    
        "</p>\n",
    
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        "</div>"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
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        "### Exercise section\n",
        "\n",
    
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        "### 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",
    
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        "\n",
    
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        "<img src=\"./images/neuralnets/google_playground.png\"/>\n",
    
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        "Some concepts to look at:\n",
    
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        "\n",
    
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        "* Effect of activation functions\n",
        "* Effect of network size"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Introduction to Keras"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
    
        "### What is Keras?\n",
    
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        "\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 it\n"
    
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       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 42,
    
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       "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"
         ]
        }
       ],
    
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       "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",
    
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        "\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",
    
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        "# 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",
    
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        "# The output layer\n",
        "model.add(Dense(units=1))\n",
        "model.add(Activation(\"sigmoid\"))\n",
        "\n",
        "model.summary()"
       ]
      },
    
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "<center>\n",
        "<figure>\n",
        "<img src=\"./images/neuralnets/neural_net_keras_1.svg\" width=\"700\"/>\n",
        "<figcaption>The above model would look like this</figcaption>\n",
        "</figure>\n",
        "</center>"
       ]
      },
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "### XOR using neural networks"
       ]
      },
    
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      {
       "cell_type": "code",
    
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       "metadata": {},
    
       "outputs": [
        {
         "name": "stderr",
         "output_type": "stream",
         "text": [
          "Using TensorFlow backend.\n"
         ]
        }
       ],
    
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       "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",
    
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       "metadata": {},
    
          "image/png": 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\n",
    
           "<matplotlib.figure.Figure at 0x7fb59af71898>"