03_TextImage/neural-networks.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Neural Networks"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Motivation\n",
    "\n",
    "Neural Networks: General-purpose learning algorithm for modeling non-linearity"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "... if you train it with \"enough\" data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Non-linear inputs\n",
    "\n",
    "- Images\n",
    "- Text\n",
    "- Speech\n",
    "- XOR"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Limitations of linear models\n",
    "\n",
    "Not \"linearly separable\"\n",
    "\n",
    "![xor](assets/neural/xor.png)\n",
    "\n",
    "Can't draw boundary to separate x's and o's"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Modeling non-linearity\n",
    "\n",
    "Transform $x$ into $\\phi(x)$ to become linearly separable\n",
    "\n",
    "![xor](assets/neural/xor_phi.png)\n",
    "\n",
    "$\\phi(x)$ is the basis for a \"neuron\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Neuron\n",
    "\n",
    "$$y = W\\phi(x) + b$$\n",
    "\n",
    "$$\\phi(x) = g(W'x + b')$$\n",
    "\n",
    "Trainable: $W', b', W, b$\n",
    "\n",
    "$g(x)$ is a non-linear function, e.g. Sigmoid"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$y = sigmoid(W(x) + b)$$\n",
    "\n",
    "\n",
    "$$y = relu(W(x) + b)$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Neuron (Perceptron)\n",
    "\n",
    "![neuron](assets/neural/neuron.png)\n",
    "\n",
    "(image: Neural Network Methods in Natural Language Processing, Goldberg, 2017)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Neural Network\n",
    "\n",
    "Multiple neurons in 1 layer make up an \"Artificial Neural Network\"\n",
    "\n",
    "![neural network](assets/neural/300px-Colored_neural_network.svg.png)\n",
    "\n",
    "(image: [Wikipedia](https://en.wikipedia.org/wiki/Artificial_neural_network))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Neural Network (Deep)\n",
    "\n",
    "Multiple \"hidden\" layers of neurons make up a \"Deep Neural Network\"\n",
    "\n",
    "![multi-layer perceptron](assets/neural/deep_nn.png)\n",
    "\n",
    "(image: Goldberg, 2017)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Properties of a Neural Network\n",
    "\n",
    "|Term|Description|Examples|\n",
    "|--|--|--|\n",
    "|Input dimension|How many inputs|4|\n",
    "|Output dimension|How many outputs|3|\n",
    "|Number of hidden layers|Number of layers, excluding input and output|2|\n",
    "|Activation type|Type of non-linear function|sigmoid, ReLU, tanh|\n",
    "|Hidden layer type|How the neurons are connected together|Fully-connected, Convolutional|"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Activation types\n",
    "\n",
    "What non-linearity is applied\n",
    "\n",
    "![dnn](assets/neural/activations.png)\n",
    "\n",
    "(image: Goldberg, 2017)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Layer types\n",
    "\n",
    "How the neurons are connected together, and what operations are performed with x, W, and b:\n",
    "\n",
    "- Dense\n",
    "- Convolutional\n",
    "- Recurrent\n",
    "- Residual\n",
    "\n",
    "More detail to come..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Walkthrough: Neural Network Architectures in keras\n",
    "\n",
    "In this walkthrough, we will use Keras to examine the architecture of some well-known neural networks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Setup - Conda environment (from scratch)\n",
    "\n",
    "1. Create a new conda environment called `mldds03`\n",
    "  a. Launch an `Anaconda Python` command window\n",
    "  b. `conda create -n mldds03 python=3`\n",
    "2. Activate the conda environment: `conda activate mldds03`\n",
    "3. Install: `conda install jupyter numpy pandas matplotlib keras pydot python-graphviz`\n",
    "4. Navigate to the courseware folder: `cd mldds-courseware`\n",
    "5. Launch Jupyter: `jupyter notebook` and open this notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup - Conda environment (from existing)\n",
    "\n",
    "Install: `conda install keras`\n",
    "\n",
    "Install: `conda install pydot python-graphviz`"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Pre-trained Neural Networks in Keras\n",
    "\n",
    "\"Pre-trained\" neural networks are available under `keras.applications`\n",
    "\n",
    "https://keras.io/applications/\n",
    "\n",
    "These are trained on the ImageNet dataset (http://www.image-net.org/), which contains millions of images.\n",
    "\n",
    "The neural network architectures from keras are previous years submissions to the ImageNet annual challenge. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.2.0\n"
     ]
    }
   ],
   "source": [
    "import keras\n",
    "\n",
    "print(keras.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### MobileNet\n",
    "\n",
    "MobileNet is a pre-trained ImageNet DNN optimized to run on smaller devices.\n",
    "\n",
    "Documentation: https://keras.io/applications/#mobilenet\n",
    "\n",
    "Implementation: https://github.com/keras-team/keras-applications/blob/master/keras_applications/mobilenet.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "input_1 (InputLayer)         (None, 224, 224, 3)       0         \n",
      "_________________________________________________________________\n",
      "conv1_pad (ZeroPadding2D)    (None, 226, 226, 3)       0         \n",
      "_________________________________________________________________\n",
      "conv1 (Conv2D)               (None, 112, 112, 32)      864       \n",
      "_________________________________________________________________\n",
      "conv1_bn (BatchNormalization (None, 112, 112, 32)      128       \n",
      "_________________________________________________________________\n",
      "conv1_relu (Activation)      (None, 112, 112, 32)      0         \n",
      "_________________________________________________________________\n",
      "conv_pad_1 (ZeroPadding2D)   (None, 114, 114, 32)      0         \n",
      "_________________________________________________________________\n",
      "conv_dw_1 (DepthwiseConv2D)  (None, 112, 112, 32)      288       \n",
      "_________________________________________________________________\n",
      "conv_dw_1_bn (BatchNormaliza (None, 112, 112, 32)      128       \n",
      "_________________________________________________________________\n",
      "conv_dw_1_relu (Activation)  (None, 112, 112, 32)      0         \n",
      "_________________________________________________________________\n",
      "conv_pw_1 (Conv2D)           (None, 112, 112, 64)      2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_1_bn (BatchNormaliza (None, 112, 112, 64)      256       \n",
      "_________________________________________________________________\n",
      "conv_pw_1_relu (Activation)  (None, 112, 112, 64)      0         \n",
      "_________________________________________________________________\n",
      "conv_pad_2 (ZeroPadding2D)   (None, 114, 114, 64)      0         \n",
      "_________________________________________________________________\n",
      "conv_dw_2 (DepthwiseConv2D)  (None, 56, 56, 64)        576       \n",
      "_________________________________________________________________\n",
      "conv_dw_2_bn (BatchNormaliza (None, 56, 56, 64)        256       \n",
      "_________________________________________________________________\n",
      "conv_dw_2_relu (Activation)  (None, 56, 56, 64)        0         \n",
      "_________________________________________________________________\n",
      "conv_pw_2 (Conv2D)           (None, 56, 56, 128)       8192      \n",
      "_________________________________________________________________\n",
      "conv_pw_2_bn (BatchNormaliza (None, 56, 56, 128)       512       \n",
      "_________________________________________________________________\n",
      "conv_pw_2_relu (Activation)  (None, 56, 56, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_3 (ZeroPadding2D)   (None, 58, 58, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_3 (DepthwiseConv2D)  (None, 56, 56, 128)       1152      \n",
      "_________________________________________________________________\n",
      "conv_dw_3_bn (BatchNormaliza (None, 56, 56, 128)       512       \n",
      "_________________________________________________________________\n",
      "conv_dw_3_relu (Activation)  (None, 56, 56, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_3 (Conv2D)           (None, 56, 56, 128)       16384     \n",
      "_________________________________________________________________\n",
      "conv_pw_3_bn (BatchNormaliza (None, 56, 56, 128)       512       \n",
      "_________________________________________________________________\n",
      "conv_pw_3_relu (Activation)  (None, 56, 56, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_4 (ZeroPadding2D)   (None, 58, 58, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_4 (DepthwiseConv2D)  (None, 28, 28, 128)       1152      \n",
      "_________________________________________________________________\n",
      "conv_dw_4_bn (BatchNormaliza (None, 28, 28, 128)       512       \n",
      "_________________________________________________________________\n",
      "conv_dw_4_relu (Activation)  (None, 28, 28, 128)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_4 (Conv2D)           (None, 28, 28, 256)       32768     \n",
      "_________________________________________________________________\n",
      "conv_pw_4_bn (BatchNormaliza (None, 28, 28, 256)       1024      \n",
      "_________________________________________________________________\n",
      "conv_pw_4_relu (Activation)  (None, 28, 28, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_5 (ZeroPadding2D)   (None, 30, 30, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_5 (DepthwiseConv2D)  (None, 28, 28, 256)       2304      \n",
      "_________________________________________________________________\n",
      "conv_dw_5_bn (BatchNormaliza (None, 28, 28, 256)       1024      \n",
      "_________________________________________________________________\n",
      "conv_dw_5_relu (Activation)  (None, 28, 28, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_5 (Conv2D)           (None, 28, 28, 256)       65536     \n",
      "_________________________________________________________________\n",
      "conv_pw_5_bn (BatchNormaliza (None, 28, 28, 256)       1024      \n",
      "_________________________________________________________________\n",
      "conv_pw_5_relu (Activation)  (None, 28, 28, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_6 (ZeroPadding2D)   (None, 30, 30, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_6 (DepthwiseConv2D)  (None, 14, 14, 256)       2304      \n",
      "_________________________________________________________________\n",
      "conv_dw_6_bn (BatchNormaliza (None, 14, 14, 256)       1024      \n",
      "_________________________________________________________________\n",
      "conv_dw_6_relu (Activation)  (None, 14, 14, 256)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_6 (Conv2D)           (None, 14, 14, 512)       131072    \n",
      "_________________________________________________________________\n",
      "conv_pw_6_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_6_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_7 (ZeroPadding2D)   (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_7 (DepthwiseConv2D)  (None, 14, 14, 512)       4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_7_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_7_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_7 (Conv2D)           (None, 14, 14, 512)       262144    \n",
      "_________________________________________________________________\n",
      "conv_pw_7_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_7_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_8 (ZeroPadding2D)   (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_8 (DepthwiseConv2D)  (None, 14, 14, 512)       4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_8_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_8_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_8 (Conv2D)           (None, 14, 14, 512)       262144    \n",
      "_________________________________________________________________\n",
      "conv_pw_8_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_8_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_9 (ZeroPadding2D)   (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_9 (DepthwiseConv2D)  (None, 14, 14, 512)       4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_9_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_9_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_9 (Conv2D)           (None, 14, 14, 512)       262144    \n",
      "_________________________________________________________________\n",
      "conv_pw_9_bn (BatchNormaliza (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_9_relu (Activation)  (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_10 (ZeroPadding2D)  (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_10 (DepthwiseConv2D) (None, 14, 14, 512)       4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_10_bn (BatchNormaliz (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_10_relu (Activation) (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_10 (Conv2D)          (None, 14, 14, 512)       262144    \n",
      "_________________________________________________________________\n",
      "conv_pw_10_bn (BatchNormaliz (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_10_relu (Activation) (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_11 (ZeroPadding2D)  (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_11 (DepthwiseConv2D) (None, 14, 14, 512)       4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_11_bn (BatchNormaliz (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_11_relu (Activation) (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pw_11 (Conv2D)          (None, 14, 14, 512)       262144    \n",
      "_________________________________________________________________\n",
      "conv_pw_11_bn (BatchNormaliz (None, 14, 14, 512)       2048      \n",
      "_________________________________________________________________\n",
      "conv_pw_11_relu (Activation) (None, 14, 14, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_pad_12 (ZeroPadding2D)  (None, 16, 16, 512)       0         \n",
      "_________________________________________________________________\n",
      "conv_dw_12 (DepthwiseConv2D) (None, 7, 7, 512)         4608      \n",
      "_________________________________________________________________\n",
      "conv_dw_12_bn (BatchNormaliz (None, 7, 7, 512)         2048      \n",
      "_________________________________________________________________\n",
      "conv_dw_12_relu (Activation) (None, 7, 7, 512)         0         \n",
      "_________________________________________________________________\n",
      "conv_pw_12 (Conv2D)          (None, 7, 7, 1024)        524288    \n",
      "_________________________________________________________________\n",
      "conv_pw_12_bn (BatchNormaliz (None, 7, 7, 1024)        4096      \n",
      "_________________________________________________________________\n",
      "conv_pw_12_relu (Activation) (None, 7, 7, 1024)        0         \n",
      "_________________________________________________________________\n",
      "conv_pad_13 (ZeroPadding2D)  (None, 9, 9, 1024)        0         \n",
      "_________________________________________________________________\n",
      "conv_dw_13 (DepthwiseConv2D) (None, 7, 7, 1024)        9216      \n",
      "_________________________________________________________________\n",
      "conv_dw_13_bn (BatchNormaliz (None, 7, 7, 1024)        4096      \n",
      "_________________________________________________________________\n",
      "conv_dw_13_relu (Activation) (None, 7, 7, 1024)        0         \n",
      "_________________________________________________________________\n",
      "conv_pw_13 (Conv2D)          (None, 7, 7, 1024)        1048576   \n",
      "_________________________________________________________________\n",
      "conv_pw_13_bn (BatchNormaliz (None, 7, 7, 1024)        4096      \n",
      "_________________________________________________________________\n",
      "conv_pw_13_relu (Activation) (None, 7, 7, 1024)        0         \n",
      "_________________________________________________________________\n",
      "global_average_pooling2d_1 ( (None, 1024)              0         \n",
      "_________________________________________________________________\n",
      "reshape_1 (Reshape)          (None, 1, 1, 1024)        0         \n",
      "_________________________________________________________________\n",
      "dropout (Dropout)            (None, 1, 1, 1024)        0         \n",
      "_________________________________________________________________\n",
      "conv_preds (Conv2D)          (None, 1, 1, 1000)        1025000   \n",
      "_________________________________________________________________\n",
      "act_softmax (Activation)     (None, 1, 1, 1000)        0         \n",
      "_________________________________________________________________\n",
      "reshape_2 (Reshape)          (None, 1000)              0         \n",
      "=================================================================\n",
      "Total params: 4,253,864\n",
      "Trainable params: 4,231,976\n",
      "Non-trainable params: 21,888\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "from keras.applications import mobilenet\n",
    "\n",
    "mobilenet_model = mobilenet.MobileNet(weights='imagenet')\n",
    "mobilenet_model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### ResNet50\n",
    "\n",
    "ResNet50 is another pre-trained ImageNet DNN. This is a larger network than MobileNet (almost 26 million parameters). It improves accuracy by introducing residual connections, which are connections that skip layers.\n",
    "\n",
    "Documentation: https://keras.io/applications/#resnet50\n",
    "\n",
    "Implementation: https://github.com/keras-team/keras-applications/blob/master/keras_applications/resnet50.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "__________________________________________________________________________________________________\n",
      "Layer (type)                    Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      "input_2 (InputLayer)            (None, 224, 224, 3)  0                                            \n",
      "__________________________________________________________________________________________________\n",
      "conv1_pad (ZeroPadding2D)       (None, 230, 230, 3)  0           input_2[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "conv1 (Conv2D)                  (None, 112, 112, 64) 9472        conv1_pad[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "bn_conv1 (BatchNormalization)   (None, 112, 112, 64) 256         conv1[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "activation_1 (Activation)       (None, 112, 112, 64) 0           bn_conv1[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "max_pooling2d_1 (MaxPooling2D)  (None, 55, 55, 64)   0           activation_1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "res2a_branch2a (Conv2D)         (None, 55, 55, 64)   4160        max_pooling2d_1[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "bn2a_branch2a (BatchNormalizati (None, 55, 55, 64)   256         res2a_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_2 (Activation)       (None, 55, 55, 64)   0           bn2a_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2a_branch2b (Conv2D)         (None, 55, 55, 64)   36928       activation_2[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2a_branch2b (BatchNormalizati (None, 55, 55, 64)   256         res2a_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_3 (Activation)       (None, 55, 55, 64)   0           bn2a_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2a_branch2c (Conv2D)         (None, 55, 55, 256)  16640       activation_3[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "res2a_branch1 (Conv2D)          (None, 55, 55, 256)  16640       max_pooling2d_1[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "bn2a_branch2c (BatchNormalizati (None, 55, 55, 256)  1024        res2a_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "bn2a_branch1 (BatchNormalizatio (None, 55, 55, 256)  1024        res2a_branch1[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_1 (Add)                     (None, 55, 55, 256)  0           bn2a_branch2c[0][0]              \n",
      "                                                                 bn2a_branch1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_4 (Activation)       (None, 55, 55, 256)  0           add_1[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res2b_branch2a (Conv2D)         (None, 55, 55, 64)   16448       activation_4[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2b_branch2a (BatchNormalizati (None, 55, 55, 64)   256         res2b_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_5 (Activation)       (None, 55, 55, 64)   0           bn2b_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2b_branch2b (Conv2D)         (None, 55, 55, 64)   36928       activation_5[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2b_branch2b (BatchNormalizati (None, 55, 55, 64)   256         res2b_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_6 (Activation)       (None, 55, 55, 64)   0           bn2b_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2b_branch2c (Conv2D)         (None, 55, 55, 256)  16640       activation_6[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2b_branch2c (BatchNormalizati (None, 55, 55, 256)  1024        res2b_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_2 (Add)                     (None, 55, 55, 256)  0           bn2b_branch2c[0][0]              \n",
      "                                                                 activation_4[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_7 (Activation)       (None, 55, 55, 256)  0           add_2[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res2c_branch2a (Conv2D)         (None, 55, 55, 64)   16448       activation_7[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2c_branch2a (BatchNormalizati (None, 55, 55, 64)   256         res2c_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_8 (Activation)       (None, 55, 55, 64)   0           bn2c_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2c_branch2b (Conv2D)         (None, 55, 55, 64)   36928       activation_8[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2c_branch2b (BatchNormalizati (None, 55, 55, 64)   256         res2c_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_9 (Activation)       (None, 55, 55, 64)   0           bn2c_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res2c_branch2c (Conv2D)         (None, 55, 55, 256)  16640       activation_9[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "bn2c_branch2c (BatchNormalizati (None, 55, 55, 256)  1024        res2c_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_3 (Add)                     (None, 55, 55, 256)  0           bn2c_branch2c[0][0]              \n",
      "                                                                 activation_7[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_10 (Activation)      (None, 55, 55, 256)  0           add_3[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res3a_branch2a (Conv2D)         (None, 28, 28, 128)  32896       activation_10[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3a_branch2a (BatchNormalizati (None, 28, 28, 128)  512         res3a_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_11 (Activation)      (None, 28, 28, 128)  0           bn3a_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3a_branch2b (Conv2D)         (None, 28, 28, 128)  147584      activation_11[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3a_branch2b (BatchNormalizati (None, 28, 28, 128)  512         res3a_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_12 (Activation)      (None, 28, 28, 128)  0           bn3a_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3a_branch2c (Conv2D)         (None, 28, 28, 512)  66048       activation_12[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3a_branch1 (Conv2D)          (None, 28, 28, 512)  131584      activation_10[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3a_branch2c (BatchNormalizati (None, 28, 28, 512)  2048        res3a_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "bn3a_branch1 (BatchNormalizatio (None, 28, 28, 512)  2048        res3a_branch1[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_4 (Add)                     (None, 28, 28, 512)  0           bn3a_branch2c[0][0]              \n",
      "                                                                 bn3a_branch1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_13 (Activation)      (None, 28, 28, 512)  0           add_4[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res3b_branch2a (Conv2D)         (None, 28, 28, 128)  65664       activation_13[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3b_branch2a (BatchNormalizati (None, 28, 28, 128)  512         res3b_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_14 (Activation)      (None, 28, 28, 128)  0           bn3b_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3b_branch2b (Conv2D)         (None, 28, 28, 128)  147584      activation_14[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3b_branch2b (BatchNormalizati (None, 28, 28, 128)  512         res3b_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_15 (Activation)      (None, 28, 28, 128)  0           bn3b_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3b_branch2c (Conv2D)         (None, 28, 28, 512)  66048       activation_15[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3b_branch2c (BatchNormalizati (None, 28, 28, 512)  2048        res3b_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_5 (Add)                     (None, 28, 28, 512)  0           bn3b_branch2c[0][0]              \n",
      "                                                                 activation_13[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_16 (Activation)      (None, 28, 28, 512)  0           add_5[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res3c_branch2a (Conv2D)         (None, 28, 28, 128)  65664       activation_16[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3c_branch2a (BatchNormalizati (None, 28, 28, 128)  512         res3c_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_17 (Activation)      (None, 28, 28, 128)  0           bn3c_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3c_branch2b (Conv2D)         (None, 28, 28, 128)  147584      activation_17[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3c_branch2b (BatchNormalizati (None, 28, 28, 128)  512         res3c_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_18 (Activation)      (None, 28, 28, 128)  0           bn3c_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3c_branch2c (Conv2D)         (None, 28, 28, 512)  66048       activation_18[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3c_branch2c (BatchNormalizati (None, 28, 28, 512)  2048        res3c_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_6 (Add)                     (None, 28, 28, 512)  0           bn3c_branch2c[0][0]              \n",
      "                                                                 activation_16[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_19 (Activation)      (None, 28, 28, 512)  0           add_6[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res3d_branch2a (Conv2D)         (None, 28, 28, 128)  65664       activation_19[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3d_branch2a (BatchNormalizati (None, 28, 28, 128)  512         res3d_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_20 (Activation)      (None, 28, 28, 128)  0           bn3d_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3d_branch2b (Conv2D)         (None, 28, 28, 128)  147584      activation_20[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3d_branch2b (BatchNormalizati (None, 28, 28, 128)  512         res3d_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_21 (Activation)      (None, 28, 28, 128)  0           bn3d_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res3d_branch2c (Conv2D)         (None, 28, 28, 512)  66048       activation_21[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn3d_branch2c (BatchNormalizati (None, 28, 28, 512)  2048        res3d_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_7 (Add)                     (None, 28, 28, 512)  0           bn3d_branch2c[0][0]              \n",
      "                                                                 activation_19[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_22 (Activation)      (None, 28, 28, 512)  0           add_7[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res4a_branch2a (Conv2D)         (None, 14, 14, 256)  131328      activation_22[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4a_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4a_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_23 (Activation)      (None, 14, 14, 256)  0           bn4a_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4a_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_23[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4a_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4a_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_24 (Activation)      (None, 14, 14, 256)  0           bn4a_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4a_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_24[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4a_branch1 (Conv2D)          (None, 14, 14, 1024) 525312      activation_22[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4a_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4a_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "bn4a_branch1 (BatchNormalizatio (None, 14, 14, 1024) 4096        res4a_branch1[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_8 (Add)                     (None, 14, 14, 1024) 0           bn4a_branch2c[0][0]              \n",
      "                                                                 bn4a_branch1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_25 (Activation)      (None, 14, 14, 1024) 0           add_8[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res4b_branch2a (Conv2D)         (None, 14, 14, 256)  262400      activation_25[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4b_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4b_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_26 (Activation)      (None, 14, 14, 256)  0           bn4b_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4b_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_26[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4b_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4b_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_27 (Activation)      (None, 14, 14, 256)  0           bn4b_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4b_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_27[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4b_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4b_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_9 (Add)                     (None, 14, 14, 1024) 0           bn4b_branch2c[0][0]              \n",
      "                                                                 activation_25[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_28 (Activation)      (None, 14, 14, 1024) 0           add_9[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "res4c_branch2a (Conv2D)         (None, 14, 14, 256)  262400      activation_28[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4c_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4c_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_29 (Activation)      (None, 14, 14, 256)  0           bn4c_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4c_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_29[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4c_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4c_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_30 (Activation)      (None, 14, 14, 256)  0           bn4c_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4c_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_30[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4c_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4c_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_10 (Add)                    (None, 14, 14, 1024) 0           bn4c_branch2c[0][0]              \n",
      "                                                                 activation_28[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_31 (Activation)      (None, 14, 14, 1024) 0           add_10[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res4d_branch2a (Conv2D)         (None, 14, 14, 256)  262400      activation_31[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4d_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4d_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_32 (Activation)      (None, 14, 14, 256)  0           bn4d_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4d_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_32[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4d_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4d_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_33 (Activation)      (None, 14, 14, 256)  0           bn4d_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4d_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_33[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4d_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4d_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_11 (Add)                    (None, 14, 14, 1024) 0           bn4d_branch2c[0][0]              \n",
      "                                                                 activation_31[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_34 (Activation)      (None, 14, 14, 1024) 0           add_11[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res4e_branch2a (Conv2D)         (None, 14, 14, 256)  262400      activation_34[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4e_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4e_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_35 (Activation)      (None, 14, 14, 256)  0           bn4e_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4e_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_35[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4e_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4e_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_36 (Activation)      (None, 14, 14, 256)  0           bn4e_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4e_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_36[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4e_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4e_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_12 (Add)                    (None, 14, 14, 1024) 0           bn4e_branch2c[0][0]              \n",
      "                                                                 activation_34[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_37 (Activation)      (None, 14, 14, 1024) 0           add_12[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res4f_branch2a (Conv2D)         (None, 14, 14, 256)  262400      activation_37[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4f_branch2a (BatchNormalizati (None, 14, 14, 256)  1024        res4f_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_38 (Activation)      (None, 14, 14, 256)  0           bn4f_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4f_branch2b (Conv2D)         (None, 14, 14, 256)  590080      activation_38[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4f_branch2b (BatchNormalizati (None, 14, 14, 256)  1024        res4f_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_39 (Activation)      (None, 14, 14, 256)  0           bn4f_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res4f_branch2c (Conv2D)         (None, 14, 14, 1024) 263168      activation_39[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn4f_branch2c (BatchNormalizati (None, 14, 14, 1024) 4096        res4f_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_13 (Add)                    (None, 14, 14, 1024) 0           bn4f_branch2c[0][0]              \n",
      "                                                                 activation_37[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_40 (Activation)      (None, 14, 14, 1024) 0           add_13[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res5a_branch2a (Conv2D)         (None, 7, 7, 512)    524800      activation_40[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5a_branch2a (BatchNormalizati (None, 7, 7, 512)    2048        res5a_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_41 (Activation)      (None, 7, 7, 512)    0           bn5a_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5a_branch2b (Conv2D)         (None, 7, 7, 512)    2359808     activation_41[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5a_branch2b (BatchNormalizati (None, 7, 7, 512)    2048        res5a_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_42 (Activation)      (None, 7, 7, 512)    0           bn5a_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5a_branch2c (Conv2D)         (None, 7, 7, 2048)   1050624     activation_42[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5a_branch1 (Conv2D)          (None, 7, 7, 2048)   2099200     activation_40[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5a_branch2c (BatchNormalizati (None, 7, 7, 2048)   8192        res5a_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "bn5a_branch1 (BatchNormalizatio (None, 7, 7, 2048)   8192        res5a_branch1[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_14 (Add)                    (None, 7, 7, 2048)   0           bn5a_branch2c[0][0]              \n",
      "                                                                 bn5a_branch1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_43 (Activation)      (None, 7, 7, 2048)   0           add_14[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res5b_branch2a (Conv2D)         (None, 7, 7, 512)    1049088     activation_43[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5b_branch2a (BatchNormalizati (None, 7, 7, 512)    2048        res5b_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_44 (Activation)      (None, 7, 7, 512)    0           bn5b_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5b_branch2b (Conv2D)         (None, 7, 7, 512)    2359808     activation_44[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5b_branch2b (BatchNormalizati (None, 7, 7, 512)    2048        res5b_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_45 (Activation)      (None, 7, 7, 512)    0           bn5b_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5b_branch2c (Conv2D)         (None, 7, 7, 2048)   1050624     activation_45[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5b_branch2c (BatchNormalizati (None, 7, 7, 2048)   8192        res5b_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_15 (Add)                    (None, 7, 7, 2048)   0           bn5b_branch2c[0][0]              \n",
      "                                                                 activation_43[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_46 (Activation)      (None, 7, 7, 2048)   0           add_15[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "res5c_branch2a (Conv2D)         (None, 7, 7, 512)    1049088     activation_46[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5c_branch2a (BatchNormalizati (None, 7, 7, 512)    2048        res5c_branch2a[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_47 (Activation)      (None, 7, 7, 512)    0           bn5c_branch2a[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5c_branch2b (Conv2D)         (None, 7, 7, 512)    2359808     activation_47[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5c_branch2b (BatchNormalizati (None, 7, 7, 512)    2048        res5c_branch2b[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation_48 (Activation)      (None, 7, 7, 512)    0           bn5c_branch2b[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "res5c_branch2c (Conv2D)         (None, 7, 7, 2048)   1050624     activation_48[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "bn5c_branch2c (BatchNormalizati (None, 7, 7, 2048)   8192        res5c_branch2c[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "add_16 (Add)                    (None, 7, 7, 2048)   0           bn5c_branch2c[0][0]              \n",
      "                                                                 activation_46[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_49 (Activation)      (None, 7, 7, 2048)   0           add_16[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "avg_pool (AveragePooling2D)     (None, 1, 1, 2048)   0           activation_49[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "flatten_1 (Flatten)             (None, 2048)         0           avg_pool[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "fc1000 (Dense)                  (None, 1000)         2049000     flatten_1[0][0]                  \n",
      "==================================================================================================\n",
      "Total params: 25,636,712\n",
      "Trainable params: 25,583,592\n",
      "Non-trainable params: 53,120\n",
      "__________________________________________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "from keras.applications import resnet50\n",
    "\n",
    "resnet_model = resnet50.ResNet50(weights='imagenet')\n",
    "resnet_model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Creating Neural Networks using Keras\n",
    "Finally, let's try something simpler.\n",
    "\n",
    "Let's create a 1-layer network that can do linear regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_1 (Dense)              (None, 1)                 5         \n",
      "=================================================================\n",
      "Total params: 5\n",
      "Trainable params: 5\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "# Reference: https://gist.github.com/fchollet/b7507f373a3446097f26840330c1c378\n",
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "\n",
    "simple_model = Sequential()\n",
    "simple_model.add(Dense(1, input_dim=4, activation='sigmoid')) # 4 inputs, 1 output\n",
    "simple_model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "keras.models.Sequential?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "keras.layers.Dense?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "keras.Model.compile?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "How about a 2-layer network to make it a deep neural network?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_2 (Dense)              (None, 256)               4352      \n",
      "_________________________________________________________________\n",
      "dense_3 (Dense)              (None, 1)                 257       \n",
      "=================================================================\n",
      "Total params: 4,609\n",
      "Trainable params: 4,609\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "deeper_model = Sequential()\n",
    "deeper_model.add(Dense(256, input_dim=16, activation='relu'))\n",
    "deeper_model.add(Dense(1, activation='sigmoid'))\n",
    "\n",
    "deeper_model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Visualizing Neural Net Architectures in Keras\n",
    "\n",
    "https://keras.io/visualization/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import SVG\n",
    "from keras.utils.vis_utils import model_to_dot\n",
    "\n",
    "model_to_dot?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
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    "SVG(model_to_dot(simple_model, show_shapes=True).create(prog='dot', format='svg'))"
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   "execution_count": 12,
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    "SVG(model_to_dot(resnet_model, show_shapes=True).create(prog='dot', format='svg'))"
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   "metadata": {
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   "source": [
    "### Troubleshooting: Graphviz Installation\n",
    "\n",
    "If pydot is not able to find `graphviz`, you can try installing graphviz manually.\n",
    "\n",
    "1. Download and install graphviz binaries from: https://graphviz.gitlab.io/download/\n",
    "2. Add the path to graphviz to your PATH environment variable, e.g. `C:/Program Files (x86)/Graphviz2.38/bin`\n",
    "3. Launch a new `Anaconda Prompt` and re-run the Jupyter notebook."
   ]
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  {
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   "execution_count": null,
   "metadata": {
    "slideshow": {
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  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "## Training a neural network\n",
    "\n",
    "A neural network is trained using Stochastic Gradient Descent\n",
    "  - Forward Propagation to compute the output at each layer\n",
    "  - Back Propagation to compute gradients\n",
    "  - Update weights and biases using gradients"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   },
   "source": [
    "### Forward Propagation\n",
    "\n",
    "For 1 neuron:\n",
    "\n",
    "$$y = W'g(Wx + b) + b'$$"
   ]
  },
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   "cell_type": "markdown",
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   "source": [
    "### Forward Propagation\n",
    "\n",
    "2 layers of neurons:\n",
    "\n",
    "$$x_1 = W_1'g(W_1x + b_1) + b_1'$$\n",
    "\n",
    "$$y = x_2 = W_2'g(W_2x_1 + b_2) + b_2'$$"
   ]
  },
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   "source": [
    "### Forward Propagation\n",
    "\n",
    "For layer $l$, single layer operation:\n",
    "\n",
    "$$x_l = \\sigma_l(W_lx_{l-1} + b_1)$$\n",
    "\n",
    "where $\\sigma_l(z) = W_l'g(z) + b_l'$"
   ]
  },
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   "source": [
    "### Feedforward through Layers\n",
    "\n",
    "for $l = 1$ to $\\,L$:\n",
    "\n",
    "$\\,\\,\\,\\,x_l = \\sigma_l(W_lx_{l-1} + b_l)$\n",
    "\n",
    "Where:\n",
    "- Number of layers: $L$\n",
    "- Input: $x_0$, Output: $x_L$\n",
    "- Note: $x_l$ are tensors with the input & output dimensions of that layer"
   ]
  },
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   "metadata": {
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     "slide_type": "slide"
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   "source": [
    "### Backward Propagation\n",
    "\n",
    "Objective\n",
    "- Compute the gradients of the cost function $J$ w.r.t. to $W^j_l$ and $b^j_l$ (layer $l$, neuron $j$)\n",
    "  - Partial derivatives $\\frac{\\partial J}{\\partial W^j_l}$, $\\frac{\\partial J}{\\partial b^j_l}$ \n",
    "- E.g. quadratic cost function, $n$ training samples, output $x_L$:\n",
    "$$J({W_l},{b_l}) = \\frac{1}{2n}\\sum_{i=1}^n {\\|y^i - x_{L}^i\\|}^2$$\n",
    "\n"
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   "metadata": {
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   "source": [
    "### Backward Propagation\n",
    "\n",
    "1. Feedforward from layer 1 to L\n",
    "2. Compute the output error vector at layer L ($\\delta_L$)\n",
    "3. Backward propagate the error (backwards from layer L-1, .. 1) to compute per-layer error vectors ($\\delta_l$)\n",
    "4. Compute gradient of cost function for layer $l$, neuron $j$:\n",
    "$$\\frac{\\partial J}{\\partial W_l^j} = x_{l-1}^j\\delta_l^j$$\n",
    "$$\\frac{\\partial J}{\\partial b_l^j} = \\delta_l^j$$"
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   "source": [
    "### Gradient Descent Update Rule\n",
    "\n",
    "$$W_l^j := W_l^j + \\epsilon \\frac{\\partial J}{W_l^j}$$\n",
    "\n",
    "$$b_l^j := b_l^j + \\epsilon \\frac{\\partial J}{b_l^j}$$\n",
    "\n",
    "$\\epsilon$ = learning rate"
   ]
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  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   "source": [
    "## Workshop: Neural Network for Logistic Regression\n",
    "\n",
    "In this workshop, you'll train a neural network to perform logistic regression on the MNIST dataset.\n",
    "\n",
    "Credits: https://medium.com/@the1ju/simple-logistic-regression-using-keras-249e0cc9a970"
   ]
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   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
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   "source": [
    "import keras\n",
    "from keras.datasets import mnist\n",
    "from keras.models import Sequential\n",
    "from keras.layers import Dense, Activation\n",
    "from keras import backend as K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
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    "# Training settings\n",
    "BATCH_SIZE = 128\n",
    "NUM_CLASSES = 10\n",
    "EPOCHS = 30\n",
    "\n",
    "# Input size settings\n",
    "IMG_ROWS = 28 # 28 pixels wide\n",
    "IMG_COLS = 28 # 28 pixels high"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
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   "source": [
    "# Import the dataset, split between train and test sets\n",
    "(X_train, y_train), (X_test, y_test) = mnist.load_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
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     "slide_type": "-"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "X_train shape: (60000, 784)\n",
      "60000 train samples\n",
      "10000 test samples\n"
     ]
    }
   ],
   "source": [
    "# Input processing\n",
    "input_dim = IMG_ROWS * IMG_COLS\n",
    "X_train = X_train.reshape(60000, input_dim) \n",
    "X_test = X_test.reshape(10000, input_dim) \n",
    "\n",
    "X_train = X_train.astype('float32')\n",
    "X_test = X_test.astype('float32')\n",
    "X_train /= 255 # scale to between 0 and 1 (pixel: 0-255)\n",
    "X_test /= 255\n",
    "print('X_train shape:', X_train.shape)\n",
    "print(X_train.shape[0], 'train samples')\n",
    "print(X_test.shape[0], 'test samples')"
   ]
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   "execution_count": 36,
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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
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      " [0.         0.         0.         0.         0.         0.\n",
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      "  0.         0.         0.         0.        ]]\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "(X_train1, y_train1), (X_test1, y_test1) = mnist.load_data()\n",
    "plt.imshow(X_train1[3, :, :], cmap=plt.cm.gray)\n",
    "plt.show()\n",
    "print(X_train1[3, :, :]/255)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "y_train shape: (60000, 10)\n",
      "First y_train sample: [1. 0. 0. 0. 0. 0. 0. 0. 0. 0.]\n"
     ]
    }
   ],
   "source": [
    "# We are doing multi-class classification\n",
    "# Convert class vectors to binary class matrices\n",
    "y_train_cat = keras.utils.to_categorical(y_train, NUM_CLASSES)\n",
    "y_test_cat = keras.utils.to_categorical(y_test, NUM_CLASSES)\n",
    "\n",
    "# Show how the classes look like\n",
    "print('y_train shape:', y_train_cat.shape)\n",
    "print('First y_train sample:', y_train_cat[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_6 (Dense)              (None, 10)                7850      \n",
      "_________________________________________________________________\n",
      "activation_52 (Activation)   (None, 10)                0         \n",
      "=================================================================\n",
      "Total params: 7,850\n",
      "Trainable params: 7,850\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "# Create the model\n",
    "from keras.layers import Activation\n",
    "\n",
    "model = Sequential() \n",
    "model.add(Dense(NUM_CLASSES, input_dim=input_dim))\n",
    "model.add(Activation('softmax'))\n",
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Exercise: Training the Neural Network\n",
    "\n",
    "1. Compile the model\n",
    "2. Train the model using `sgd`, minibatch size 128 \n",
    "  - Training set: `X_train`, `y_train_cat`\n",
    "  - Test set: `X_test`, `y_test_cat`\n",
    "3. Plot the learning curve, using the accuracy metrics\n",
    "4. Analyze the learning curve to determine if overfitting or underfitting occurred. \n",
    "  - If overfitting occurred, which epoch can training stop\n",
    "  - If underfitting occurred, train more epochs to determine what the optimum number of epochs should be\n",
    "\n",
    "How to get the accuracy metrics:\n",
    "```\n",
    "history = model.fit(..., metrics=['accuracy'])\n",
    "...\n",
    "loss = history.history['loss']\n",
    "val_loss = history.history['val_loss']\n",
    "\n",
    "```\n",
    "\n",
    "You may reference this example for steps 1 and 2: https://medium.com/@the1ju/simple-logistic-regression-using-keras-249e0cc9a970"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 60000 samples, validate on 10000 samples\n",
      "Epoch 1/30\n",
      "60000/60000 [==============================] - 3s 43us/step - loss: 1.2983 - acc: 0.6889 - val_loss: 0.8124 - val_acc: 0.8318\n",
      "Epoch 2/30\n",
      "60000/60000 [==============================] - 2s 27us/step - loss: 0.7178 - acc: 0.8397 - val_loss: 0.6065 - val_acc: 0.8625\n",
      "Epoch 3/30\n",
      "60000/60000 [==============================] - 2s 28us/step - loss: 0.5879 - acc: 0.8587 - val_loss: 0.5249 - val_acc: 0.8746\n",
      "Epoch 4/30\n",
      "60000/60000 [==============================] - 2s 30us/step - loss: 0.5260 - acc: 0.8691 - val_loss: 0.4793 - val_acc: 0.8813\n",
      "Epoch 5/30\n",
      "60000/60000 [==============================] - 3s 46us/step - loss: 0.4882 - acc: 0.8752 - val_loss: 0.4497 - val_acc: 0.8860\n",
      "Epoch 6/30\n",
      "60000/60000 [==============================] - 2s 41us/step - loss: 0.4623 - acc: 0.8793 - val_loss: 0.4283 - val_acc: 0.8915\n",
      "Epoch 7/30\n",
      "60000/60000 [==============================] - 2s 28us/step - loss: 0.4430 - acc: 0.8829 - val_loss: 0.4121 - val_acc: 0.8941\n",
      "Epoch 8/30\n",
      "60000/60000 [==============================] - 1s 24us/step - loss: 0.4281 - acc: 0.8862 - val_loss: 0.3991 - val_acc: 0.8959\n",
      "Epoch 9/30\n",
      "60000/60000 [==============================] - 2s 32us/step - loss: 0.4160 - acc: 0.8883 - val_loss: 0.3893 - val_acc: 0.8978\n",
      "Epoch 10/30\n",
      "60000/60000 [==============================] - 2s 37us/step - loss: 0.4060 - acc: 0.8903 - val_loss: 0.3802 - val_acc: 0.8994\n",
      "Epoch 11/30\n",
      "60000/60000 [==============================] - 2s 32us/step - loss: 0.3975 - acc: 0.8920 - val_loss: 0.3727 - val_acc: 0.9011\n",
      "Epoch 12/30\n",
      "60000/60000 [==============================] - 1s 22us/step - loss: 0.3902 - acc: 0.8933 - val_loss: 0.3665 - val_acc: 0.9016\n",
      "Epoch 13/30\n",
      "60000/60000 [==============================] - 1s 24us/step - loss: 0.3838 - acc: 0.8949 - val_loss: 0.3611 - val_acc: 0.9026\n",
      "Epoch 14/30\n",
      "60000/60000 [==============================] - 1s 18us/step - loss: 0.3782 - acc: 0.8964 - val_loss: 0.3558 - val_acc: 0.9038\n",
      "Epoch 15/30\n",
      "60000/60000 [==============================] - 1s 22us/step - loss: 0.3731 - acc: 0.8973 - val_loss: 0.3516 - val_acc: 0.9051\n",
      "Epoch 16/30\n",
      "60000/60000 [==============================] - 1s 23us/step - loss: 0.3686 - acc: 0.8982 - val_loss: 0.3476 - val_acc: 0.9064\n",
      "Epoch 17/30\n",
      "60000/60000 [==============================] - 1s 21us/step - loss: 0.3644 - acc: 0.8992 - val_loss: 0.3439 - val_acc: 0.9065\n",
      "Epoch 18/30\n",
      "60000/60000 [==============================] - 1s 22us/step - loss: 0.3607 - acc: 0.9000 - val_loss: 0.3408 - val_acc: 0.9073\n",
      "Epoch 19/30\n",
      "60000/60000 [==============================] - 1s 21us/step - loss: 0.3572 - acc: 0.9008 - val_loss: 0.3378 - val_acc: 0.9074\n",
      "Epoch 20/30\n",
      "60000/60000 [==============================] - 1s 18us/step - loss: 0.3540 - acc: 0.9015 - val_loss: 0.3350 - val_acc: 0.9080\n",
      "Epoch 21/30\n",
      "60000/60000 [==============================] - 1s 25us/step - loss: 0.3511 - acc: 0.9024 - val_loss: 0.3324 - val_acc: 0.9085\n",
      "Epoch 22/30\n",
      "60000/60000 [==============================] - 1s 18us/step - loss: 0.3483 - acc: 0.9030 - val_loss: 0.3302 - val_acc: 0.9091\n",
      "Epoch 23/30\n",
      "60000/60000 [==============================] - 1s 18us/step - loss: 0.3458 - acc: 0.9035 - val_loss: 0.3281 - val_acc: 0.9099\n",
      "Epoch 24/30\n",
      "60000/60000 [==============================] - 1s 20us/step - loss: 0.3435 - acc: 0.9040 - val_loss: 0.3261 - val_acc: 0.9104\n",
      "Epoch 25/30\n",
      "60000/60000 [==============================] - 1s 20us/step - loss: 0.3412 - acc: 0.9046 - val_loss: 0.3243 - val_acc: 0.9109\n",
      "Epoch 26/30\n",
      "60000/60000 [==============================] - 2s 25us/step - loss: 0.3391 - acc: 0.9052 - val_loss: 0.3224 - val_acc: 0.9109\n",
      "Epoch 27/30\n",
      "60000/60000 [==============================] - 1s 23us/step - loss: 0.3371 - acc: 0.9055 - val_loss: 0.3206 - val_acc: 0.9119\n",
      "Epoch 28/30\n",
      "60000/60000 [==============================] - 1s 22us/step - loss: 0.3353 - acc: 0.9063 - val_loss: 0.3191 - val_acc: 0.9117\n",
      "Epoch 29/30\n",
      "60000/60000 [==============================] - 1s 25us/step - loss: 0.3335 - acc: 0.9066 - val_loss: 0.3180 - val_acc: 0.9126\n",
      "Epoch 30/30\n",
      "60000/60000 [==============================] - 1s 19us/step - loss: 0.3318 - acc: 0.9073 - val_loss: 0.3162 - val_acc: 0.9127\n",
      "Test score: 0.31617396712303164\n",
      "Test accuracy: 0.9127\n"
     ]
    }
   ],
   "source": [
    "# Compile and train model\n",
    "# Your code here\n",
    "\n",
    "model.compile(optimizer='sgd',\n",
    "              loss='categorical_crossentropy', metrics=['accuracy']) \n",
    "\n",
    "history = model.fit(X_train, y_train_cat, batch_size=BATCH_SIZE,\n",
    "                    epochs=EPOCHS,\n",
    "                    verbose=1,\n",
    "                    validation_data=(X_test, y_test_cat)) \n",
    "\n",
    "score = model.evaluate(X_test, y_test_cat, verbose=0) \n",
    "print('Test score:', score[0]) \n",
    "print('Test accuracy:', score[1])\n",
    "\n",
    "pred = model.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.92300795e-04 3.05666418e-07 2.73727986e-04 ... 9.94899571e-01\n",
      "  1.48842766e-04 2.02709646e-03]\n",
      " [7.04828463e-03 1.23849735e-04 9.05364752e-01 ... 6.24142373e-08\n",
      "  5.18862577e-03 1.11505744e-06]\n",
      " [1.44006510e-04 9.55273390e-01 1.45111205e-02 ... 5.02551626e-03\n",
      "  9.41167492e-03 1.76334998e-03]\n",
      " ...\n",
      " [1.89898765e-06 8.51190543e-06 7.51070256e-05 ... 4.82808892e-03\n",
      "  1.33694988e-02 4.35379557e-02]\n",
      " [3.01771378e-03 4.32022521e-03 1.24727038e-03 ... 7.10607506e-04\n",
      "  3.68826538e-01 1.30194030e-03]\n",
      " [2.76002334e-04 8.18013834e-09 8.10557511e-04 ... 1.97109102e-08\n",
      "  4.32123943e-06 7.32404715e-07]]\n",
      "[7 2 1 ... 4 5 6]\n"
     ]
    }
   ],
   "source": [
    "pred = model.predict(X_test)\n",
    "print(pred)\n",
    "\n",
    "pred_classes = model.predict_classes(X_test)\n",
    "print(pred_classes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "prediction [7 2 1 0 4 1 4 9 6 9 0 6 9 0 1 5 9 7 3 4]\n",
      "truth [7 2 1 0 4 1 4 9 5 9 0 6 9 0 1 5 9 7 3 4]\n",
      "[8.9296000e-03 1.3875663e-04 3.4160007e-02 2.3498736e-05 1.7972823e-02\n",
      " 8.6964490e-03 9.2203307e-01 2.3101331e-05 6.4728083e-03 1.5499224e-03]\n",
      "6\n",
      "5\n"
     ]
    }
   ],
   "source": [
    "(X_train3, y_train3), (X_test3, y_test3) = mnist.load_data()\n",
    "\n",
    "test = X_test3[:20]\n",
    "plt.imshow(test[8], cmap=plt.cm.gray)\n",
    "plt.show()\n",
    "\n",
    "# preprocessing\n",
    "test = test.reshape(test.shape[0], input_dim) \n",
    "test = test.astype('float32')\n",
    "test /= 255\n",
    "\n",
    "predicted_numbers = model.predict_classes(test)\n",
    "predicted_prob = model.predict(test)\n",
    "\n",
    "print('prediction', predicted_numbers)\n",
    "print('truth', y_test3[:20])\n",
    "\n",
    "print(predicted_prob[8])\n",
    "print(predicted_numbers[8])\n",
    "print(y_test3[8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Keras Model API\n",
    "https://keras.io/models/model/\n",
    "\n",
    "Workflow:\n",
    "\n",
    "- Create model\n",
    "- compile: set up loss, optimizer, what to return in history\n",
    "- fit: trains the model. This returns a History object (History can be obtained from History.history). Optionally setup callbacks for Tensorboard, etc.\n",
    "- evaluate: evaluates metrics\n",
    "- predict: performs a prediction\n",
    "\n",
    "Cheatsheet:\n",
    "https://s3.amazonaws.com/assets.datacamp.com/blog_assets/Keras_Cheat_Sheet_Python.pdf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "# Plot learning curve\n",
    "\n",
    "\n",
    "# How to get the accuracy metrics:\n",
    "#\n",
    "# history = model.fit(..., metrics=['accuracy'])\n",
    "# ...\n",
    "# loss = history.history['loss']\n",
    "# val_loss = history.history['val_loss']\n",
    "\n",
    "print(history.history.keys())\n",
    "print(history.history['val_loss'])\n",
    "\n",
    "# Use matplotlib to plot 'val_loss' and 'loss' vs. number of epochs\n",
    "# Your code here"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Reading List\n",
    "\n",
    "|Material|Read it for|URL\n",
    "|--|--|--|\n",
    "|Lecture 1: Deep Learning Challenge. Is There Theory?|Intro to Deep Learning|https://stats385.github.io/lecture_slides (lecture 1)|\n",
    "|Lecture 2: Overview of Deep Learning from a Practical Point of View|More background on Neural Nets|https://stats385.github.io/lecture_slides (lecture 2)|\n",
    "|Neural Networks and Deep Learning, Chapter 2|Understanding Back Propagation|http://neuralnetworksanddeeplearning.com/chap2.html|\n",
    "|Guide to the Sequential Model|Basic usage of Keras for neural net training|https://keras.io/getting-started/sequential-model-guide/|"
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