implemented conv2d of mnist from scratch added fourth week notes

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Malar Kannan
2017-10-28 17:46:00 +05:30
parent 64b89c326b
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Convolutional Neural Network
============================
Hubel and Weisel(1962) experiment -> inspiration for CNN
single neuron detects edges oriented at 45degress
filter kernel -> (a patch in image - matrix) (typical to 3x3|5x5|7x7
smaller the better)
returns a feature map
CNN -> multiple layers of kernels(1st layer computes on the input image,
subsequent layers computes on the feature maps generated by the previous
layer)
strides -> amount of pixels to overlap between kernel computation on the same
layer
(max) pooling kernel -> looks at a patch of image and
returns the (maximum) value in that patch
(doesn't have any learnable parameters)
usually the number of feature maps is doubled after a
pooling layer is computed
maps (n,n)eg.[(28x28)x128] -> (mxm)eg.[(14,14)x128] -> (x256)
No of weight required per layer = (k1xk1)xc1xc2 (c1 is channels in input layer)
(k1,k1) is the dimension of filter kernel
(c2 is number of feature maps in first layer)
-> in 1st layer
(k2,k2)xc2xc3 (c3) number of feature maps
conv2d -> padding 'same' adds 0's at the borders to make the output
dimension same as image size
'valid' does the convolution one actual pixels alone -> will return
a smaller dimension relative to the image
technique: use a smaller train/test data and try to overfit the model
(100% on train to verify that the model is expressive enough
to learn the data)
Deconvolutional Layers(misnomer):
upsampling an image using this layer
(tf.layers.conv2d_transpose,tf.nn.conv2d_transpose)
Transfer Learning:
==================
using pretrained networks as starting point for a task (using a subset of layers)
eg. VGG(Visual Geometry Group) networks (224x224 -> 1000 classes)
-> classification(what) & localization(where)
CNN works great for classification(since it is invariant to location)
to predict the location (use the earlier layers(cotains locality info)
for final output)
using it to identify a class not in the 1000 pretrained classes
using it to identify a class with input size 64x64(depends on the first layer filter size)
Regularization:
===============
Dropout based regularization is great for image classification application.
(Warning: not to be used on data without redundancy(image data has lot of redundancy
eg. identifing a partial face is quite easy))

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import tensorflow as tf
from tensorflow.examples.tutorials.mnist import input_data
mnist = input_data.read_data_sets('../mnist_data', one_hot=True)
x = tf.placeholder(tf.float32,shape=[None,28*28])
y_ = tf.placeholder(tf.float32,shape=[None,10])
# W = tf.Variable(tf.zeros([28*28,10]))
# b = tf.Variable(tf.zeros([10]))
#
# y = tf.matmul(x,W) + b
#
# cross_entropy = tf.reduce_mean(
# tf.nn.softmax_cross_entropy_with_logits(labels=y_, logits=y))
#
# train_step = tf.train.GradientDescentOptimizer(0.5).minimize(cross_entropy)
#
# with tf.Session() as sess:
# sess.run(tf.global_variables_initializer())
# for _ in range(1000):
# batch = mnist.train.next_batch(100)
# sess.run([train_step],feed_dict={x: batch[0], y_: batch[1]})
# correct_prediction = tf.equal(tf.argmax(y,1), tf.argmax(y_,1))
# accuracy = tf.reduce_mean(tf.cast(correct_prediction, tf.float32))
# print(accuracy.eval(feed_dict={x: mnist.test.images, y_: mnist.test.labels}))
def weight_variable(shape):
initial = tf.truncated_normal(shape, stddev=0.1)
return tf.Variable(initial)
def bias_variable(shape):
initial = tf.constant(0.1, shape=shape)
return tf.Variable(initial)
def conv2d(x, W):
return tf.nn.conv2d(x, W, strides=[1, 2, 2, 1], padding='VALID')
# def max_pool_3x3(x):
# return tf.nn.max_pool(x, ksize=[1, 5, 5, 1],
# strides=[1, 2, 2, 1], padding='SAME')
x_image = tf.reshape(x, [-1, 28, 28, 1])
W_conv1 = weight_variable([4, 4, 1, 128])
b_conv1 = bias_variable([128])
h_conv1 = tf.nn.relu(conv2d(x_image, W_conv1) + b_conv1)
W_conv1
h_conv1
# h_pool1 = max_pool_3x3(h_conv1)
# h_pool1
h_conv1
W_conv2 = weight_variable([5, 5, 128, 64])
b_conv2 = bias_variable([64])
h_conv2 = tf.nn.relu(conv2d(h_conv1, W_conv2) + b_conv2)
h_conv2
# h_pool2 = max_pool_3x3(h_conv2)
# h_pool2
W_fc1 = weight_variable([5 * 5 * 64, 512])
W_fc1
b_fc1 = bias_variable([512])
h_pool2_flat = tf.reshape(h_conv2, [-1, 5*5*64])
h_pool2_flat
h_fc1 = tf.nn.relu(tf.matmul(h_pool2_flat, W_fc1) + b_fc1)
h_fc1
keep_prob = tf.placeholder(tf.float32)
h_fc1_drop = tf.nn.dropout(h_fc1, keep_prob)
h_fc1_drop
W_fc2 = weight_variable([512, 10])
b_fc2 = bias_variable([10])
y_conv = tf.matmul(h_fc1_drop, W_fc2) + b_fc2
y_conv
cross_entropy = tf.reduce_mean(
tf.nn.softmax_cross_entropy_with_logits(labels=y_, logits=y_conv))
train_step = tf.train.AdamOptimizer(1e-4).minimize(cross_entropy)
correct_prediction = tf.equal(tf.argmax(y_conv, 1), tf.argmax(y_, 1))
accuracy = tf.reduce_mean(tf.cast(correct_prediction, tf.float32))
with tf.Session() as sess:
sess.run(tf.global_variables_initializer())
for i in range(20000):
batch = mnist.train.next_batch(50)
if i % 100 == 0:
train_accuracy = accuracy.eval(feed_dict={
x: batch[0], y_: batch[1], keep_prob: 1.0})
print('step %d, training accuracy %g' % (i, train_accuracy))
train_step.run(feed_dict={x: batch[0], y_: batch[1], keep_prob: 0.5})
print('test accuracy %g' % accuracy.eval(feed_dict={
x: mnist.test.images, y_: mnist.test.labels, keep_prob: 1.0}))

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# Copyright 2015 The TensorFlow Authors. All Rights Reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
# ==============================================================================
"""A deep MNIST classifier using convolutional layers.
See extensive documentation at
https://www.tensorflow.org/get_started/mnist/pros
"""
# Disable linter warnings to maintain consistency with tutorial.
# pylint: disable=invalid-name
# pylint: disable=g-bad-import-order
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import argparse
import sys
import tempfile
from tensorflow.examples.tutorials.mnist import input_data
import tensorflow as tf
FLAGS = None
def deepnn(x):
"""deepnn builds the graph for a deep net for classifying digits.
Args:
x: an input tensor with the dimensions (N_examples, 784), where 784 is the
number of pixels in a standard MNIST image.
Returns:
A tuple (y, keep_prob). y is a tensor of shape (N_examples, 10), with values
equal to the logits of classifying the digit into one of 10 classes (the
digits 0-9). keep_prob is a scalar placeholder for the probability of
dropout.
"""
# Reshape to use within a convolutional neural net.
# Last dimension is for "features" - there is only one here, since images are
# grayscale -- it would be 3 for an RGB image, 4 for RGBA, etc.
with tf.name_scope('reshape'):
x_image = tf.reshape(x, [-1, 28, 28, 1])
# First convolutional layer - maps one grayscale image to 32 feature maps.
with tf.name_scope('conv1'):
W_conv1 = weight_variable([5, 5, 1, 32])
b_conv1 = bias_variable([32])
h_conv1 = tf.nn.relu(conv2d(x_image, W_conv1) + b_conv1)
# Pooling layer - downsamples by 2X.
with tf.name_scope('pool1'):
h_pool1 = max_pool_2x2(h_conv1)
# Second convolutional layer -- maps 32 feature maps to 64.
with tf.name_scope('conv2'):
W_conv2 = weight_variable([5, 5, 32, 64])
b_conv2 = bias_variable([64])
h_conv2 = tf.nn.relu(conv2d(h_pool1, W_conv2) + b_conv2)
# Second pooling layer.
with tf.name_scope('pool2'):
h_pool2 = max_pool_2x2(h_conv2)
# Fully connected layer 1 -- after 2 round of downsampling, our 28x28 image
# is down to 7x7x64 feature maps -- maps this to 1024 features.
with tf.name_scope('fc1'):
W_fc1 = weight_variable([7 * 7 * 64, 1024])
b_fc1 = bias_variable([1024])
h_pool2_flat = tf.reshape(h_pool2, [-1, 7*7*64])
h_fc1 = tf.nn.relu(tf.matmul(h_pool2_flat, W_fc1) + b_fc1)
# Dropout - controls the complexity of the model, prevents co-adaptation of
# features.
with tf.name_scope('dropout'):
keep_prob = tf.placeholder(tf.float32)
h_fc1_drop = tf.nn.dropout(h_fc1, keep_prob)
# Map the 1024 features to 10 classes, one for each digit
with tf.name_scope('fc2'):
W_fc2 = weight_variable([1024, 10])
b_fc2 = bias_variable([10])
y_conv = tf.matmul(h_fc1_drop, W_fc2) + b_fc2
return y_conv, keep_prob
def conv2d(x, W):
"""conv2d returns a 2d convolution layer with full stride."""
return tf.nn.conv2d(x, W, strides=[1, 1, 1, 1], padding='SAME')
def max_pool_2x2(x):
"""max_pool_2x2 downsamples a feature map by 2X."""
return tf.nn.max_pool(x, ksize=[1, 2, 2, 1],
strides=[1, 2, 2, 1], padding='SAME')
def weight_variable(shape):
"""weight_variable generates a weight variable of a given shape."""
initial = tf.truncated_normal(shape, stddev=0.1)
return tf.Variable(initial)
def bias_variable(shape):
"""bias_variable generates a bias variable of a given shape."""
initial = tf.constant(0.1, shape=shape)
return tf.Variable(initial)
def main(_):
# Import data
mnist = input_data.read_data_sets(FLAGS.data_dir, one_hot=True)
# Create the model
x = tf.placeholder(tf.float32, [None, 784])
# Define loss and optimizer
y_ = tf.placeholder(tf.float32, [None, 10])
# Build the graph for the deep net
y_conv, keep_prob = deepnn(x)
with tf.name_scope('loss'):
cross_entropy = tf.nn.softmax_cross_entropy_with_logits(labels=y_,
logits=y_conv)
cross_entropy = tf.reduce_mean(cross_entropy)
with tf.name_scope('adam_optimizer'):
train_step = tf.train.AdamOptimizer(1e-4).minimize(cross_entropy)
with tf.name_scope('accuracy'):
correct_prediction = tf.equal(tf.argmax(y_conv, 1), tf.argmax(y_, 1))
correct_prediction = tf.cast(correct_prediction, tf.float32)
accuracy = tf.reduce_mean(correct_prediction)
graph_location = tempfile.mkdtemp()
print('Saving graph to: %s' % graph_location)
train_writer = tf.summary.FileWriter(graph_location)
train_writer.add_graph(tf.get_default_graph())
with tf.Session() as sess:
sess.run(tf.global_variables_initializer())
for i in range(20000):
batch = mnist.train.next_batch(50)
if i % 100 == 0:
train_accuracy = accuracy.eval(feed_dict={
x: batch[0], y_: batch[1], keep_prob: 1.0})
print('step %d, training accuracy %g' % (i, train_accuracy))
train_step.run(feed_dict={x: batch[0], y_: batch[1], keep_prob: 0.5})
print('test accuracy %g' % accuracy.eval(feed_dict={
x: mnist.test.images, y_: mnist.test.labels, keep_prob: 1.0}))
if __name__ == '__main__':
parser = argparse.ArgumentParser()
parser.add_argument('--data_dir', type=str,
default='/tmp/tensorflow/mnist/input_data',
help='Directory for storing input data')
FLAGS, unparsed = parser.parse_known_args()
tf.app.run(main=main, argv=[sys.argv[0]] + unparsed)

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