Fully Connected Neural Network

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standard (Fully Connected) Neural Network"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Use in Markup cell type\n",
    "#![alt text](imagename.png \"Title\")  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Implementing Fully connected Neural Net"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Loading Required packages and Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "###1. Load Data and Splot Data\n",
    "from keras.datasets import mnist\n",
    "from keras.models import Sequential \n",
    "from keras.layers.core import Dense, Activation\n",
    "from keras.utils import np_utils\n",
    "(X_train, Y_train), (X_test, Y_test) = mnist.load_data()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Preprocessing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 2000x400 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "n = 10  # how many digits we will display\n",
    "plt.figure(figsize=(20, 4))\n",
    "for i in range(n):\n",
    "    # display original\n",
    "    ax = plt.subplot(2, n, i + 1)\n",
    "    plt.imshow(X_test[i].reshape(28, 28))\n",
    "    plt.gray()\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Previous X_train shape: (60000, 28, 28) \n",
      "Previous Y_train shape:(60000,)\n",
      "New X_train shape: (60000, 784) \n",
      "New Y_train shape:(60000, 10)\n"
     ]
    }
   ],
   "source": [
    "print(\"Previous X_train shape: {} \\nPrevious Y_train shape:{}\".format(X_train.shape, Y_train.shape))\n",
    "X_train = X_train.reshape(60000, 784)     \n",
    "X_test = X_test.reshape(10000, 784)\n",
    "X_train = X_train.astype('float32')     \n",
    "X_test = X_test.astype('float32')     \n",
    "X_train /= 255    \n",
    "X_test /= 255\n",
    "classes = 10\n",
    "Y_train = np_utils.to_categorical(Y_train, classes)     \n",
    "Y_test = np_utils.to_categorical(Y_test, classes)\n",
    "print(\"New X_train shape: {} \\nNew Y_train shape:{}\".format(X_train.shape, Y_train.shape))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Setting up parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "input_size = 784\n",
    "batch_size = 200   \n",
    "hidden1 = 400\n",
    "hidden2 = 20\n",
    "epochs = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Building the FCN Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "_________________________________________________________________\n",
      "Layer (type)                 Output Shape              Param #   \n",
      "=================================================================\n",
      "dense_1 (Dense)              (None, 400)               314000    \n",
      "_________________________________________________________________\n",
      "dense_2 (Dense)              (None, 20)                8020      \n",
      "_________________________________________________________________\n",
      "dense_3 (Dense)              (None, 10)                210       \n",
      "=================================================================\n",
      "Total params: 322,230\n",
      "Trainable params: 322,230\n",
      "Non-trainable params: 0\n",
      "_________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "###4.Build the model\n",
    "model = Sequential()     \n",
    "model.add(Dense(hidden1, input_dim=input_size, activation='relu'))\n",
    "# output = relu (dot (W, input) + bias)\n",
    "model.add(Dense(hidden2, activation='relu'))\n",
    "model.add(Dense(classes, activation='softmax')) \n",
    "\n",
    "# Compilation\n",
    "model.compile(loss='categorical_crossentropy', \n",
    "    metrics=['accuracy'], optimizer='sgd')\n",
    "model.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Training The Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/10\n",
      " - 12s - loss: 1.4482 - acc: 0.6251\n",
      "Epoch 2/10\n",
      " - 3s - loss: 0.6239 - acc: 0.8482\n",
      "Epoch 3/10\n",
      " - 3s - loss: 0.4582 - acc: 0.8798\n",
      "Epoch 4/10\n",
      " - 3s - loss: 0.3941 - acc: 0.8936\n",
      "Epoch 5/10\n",
      " - 3s - loss: 0.3579 - acc: 0.9011\n",
      "Epoch 6/10\n",
      " - 4s - loss: 0.3328 - acc: 0.9070\n",
      "Epoch 7/10\n",
      " - 3s - loss: 0.3138 - acc: 0.9118\n",
      "Epoch 8/10\n",
      " - 3s - loss: 0.2980 - acc: 0.9157\n",
      "Epoch 9/10\n",
      " - 3s - loss: 0.2849 - acc: 0.9191\n",
      "Epoch 10/10\n",
      " - 3s - loss: 0.2733 - acc: 0.9223\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.History at 0x272375a7240>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fitting on Data\n",
    "model.fit(X_train, Y_train, batch_size=batch_size, epochs=10, verbose=2)\n",
    "###5.Test "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "#### Testing The Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10000/10000 [==============================] - 1s 121us/step\n",
      "\n",
      "Test accuracy: 0.9257\n",
      "[0 6 9 0 1 5 9 7 3 4]\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 1440x288 with 10 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "score = model.evaluate(X_test, Y_test, verbose=1)\n",
    "print('\\n''Test accuracy:', score[1])\n",
    "mask = range(10,20)\n",
    "X_valid = X_test[mask]\n",
    "y_pred = model.predict_classes(X_valid)\n",
    "print(y_pred)\n",
    "plt.figure(figsize=(20, 4))\n",
    "for i in range(n):\n",
    "    # display original\n",
    "    ax = plt.subplot(2, n, i + 1)\n",
    "    plt.imshow(X_valid[i].reshape(28, 28))\n",
    "    plt.gray()\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
About this Algorithm

Standard (Fully Connected) Neural Network

#Use in Markup cell type
#![alt text](imagename.png "Title")  

Implementing Fully connected Neural Net

Loading Required packages and Data

###1. Load Data and Splot Data
from keras.datasets import mnist
from keras.models import Sequential 
from keras.layers.core import Dense, Activation
from keras.utils import np_utils
(X_train, Y_train), (X_test, Y_test) = mnist.load_data()
Using TensorFlow backend.

Preprocessing

import matplotlib.pyplot as plt
n = 10  # how many digits we will display
plt.figure(figsize=(20, 4))
for i in range(n):
    # display original
    ax = plt.subplot(2, n, i + 1)
    plt.imshow(X_test[i].reshape(28, 28))
    plt.gray()
    ax.get_xaxis().set_visible(False)
    ax.get_yaxis().set_visible(False)
plt.show()
plt.close()
<Figure size 2000x400 with 10 Axes>
print("Previous X_train shape: {} \nPrevious Y_train shape:{}".format(X_train.shape, Y_train.shape))
X_train = X_train.reshape(60000, 784)     
X_test = X_test.reshape(10000, 784)
X_train = X_train.astype('float32')     
X_test = X_test.astype('float32')     
X_train /= 255    
X_test /= 255
classes = 10
Y_train = np_utils.to_categorical(Y_train, classes)     
Y_test = np_utils.to_categorical(Y_test, classes)
print("New X_train shape: {} \nNew Y_train shape:{}".format(X_train.shape, Y_train.shape))
Previous X_train shape: (60000, 28, 28) 
Previous Y_train shape:(60000,)
New X_train shape: (60000, 784) 
New Y_train shape:(60000, 10)

Setting up parameters

input_size = 784
batch_size = 200   
hidden1 = 400
hidden2 = 20
epochs = 2

Building the FCN Model

###4.Build the model
model = Sequential()     
model.add(Dense(hidden1, input_dim=input_size, activation='relu'))
# output = relu (dot (W, input) + bias)
model.add(Dense(hidden2, activation='relu'))
model.add(Dense(classes, activation='softmax')) 

# Compilation
model.compile(loss='categorical_crossentropy', 
    metrics=['accuracy'], optimizer='sgd')
model.summary()
_________________________________________________________________
Layer (type)                 Output Shape              Param #   
=================================================================
dense_1 (Dense)              (None, 400)               314000    
_________________________________________________________________
dense_2 (Dense)              (None, 20)                8020      
_________________________________________________________________
dense_3 (Dense)              (None, 10)                210       
=================================================================
Total params: 322,230
Trainable params: 322,230
Non-trainable params: 0
_________________________________________________________________

Training The Model

# Fitting on Data
model.fit(X_train, Y_train, batch_size=batch_size, epochs=10, verbose=2)
###5.Test 
Epoch 1/10
 - 12s - loss: 1.4482 - acc: 0.6251
Epoch 2/10
 - 3s - loss: 0.6239 - acc: 0.8482
Epoch 3/10
 - 3s - loss: 0.4582 - acc: 0.8798
Epoch 4/10
 - 3s - loss: 0.3941 - acc: 0.8936
Epoch 5/10
 - 3s - loss: 0.3579 - acc: 0.9011
Epoch 6/10
 - 4s - loss: 0.3328 - acc: 0.9070
Epoch 7/10
 - 3s - loss: 0.3138 - acc: 0.9118
Epoch 8/10
 - 3s - loss: 0.2980 - acc: 0.9157
Epoch 9/10
 - 3s - loss: 0.2849 - acc: 0.9191
Epoch 10/10
 - 3s - loss: 0.2733 - acc: 0.9223
<keras.callbacks.History at 0x272375a7240>

Testing The Model

score = model.evaluate(X_test, Y_test, verbose=1)
print('\n''Test accuracy:', score[1])
mask = range(10,20)
X_valid = X_test[mask]
y_pred = model.predict_classes(X_valid)
print(y_pred)
plt.figure(figsize=(20, 4))
for i in range(n):
    # display original
    ax = plt.subplot(2, n, i + 1)
    plt.imshow(X_valid[i].reshape(28, 28))
    plt.gray()
    ax.get_xaxis().set_visible(False)
    ax.get_yaxis().set_visible(False)
plt.show()
plt.close()
10000/10000 [==============================] - 1s 121us/step

Test accuracy: 0.9257
[0 6 9 0 1 5 9 7 3 4]
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We are a group of programmers helping each other build new things, whether it be writing complex encryption programs, or simple ciphers. Our goal is to work together to document and model beautiful, helpful and interesting algorithms using code. We are an open-source community - anyone can contribute. We check each other's work, communicate and collaborate to solve problems. We strive to be welcoming, respectful, yet make sure that our code follows the latest programming guidelines.