#!/usr/bin/env python # coding: utf-8 # Deep Learning with TensorFlow # ============= # # Credits: Forked from [TensorFlow](https://github.com/tensorflow/tensorflow) by Google # # Setup # ------------ # # Refer to the [setup instructions](https://github.com/donnemartin/data-science-ipython-notebooks/tree/feature/deep-learning/deep-learning/tensor-flow-exercises/README.md). # # Exercise 2 # ------------ # # Previously in `1_notmnist.ipynb`, we created a pickle with formatted datasets for training, development and testing on the [notMNIST dataset](http://yaroslavvb.blogspot.com/2011/09/notmnist-dataset.html). # # The goal of this exercise is to progressively train deeper and more accurate models using TensorFlow. # In[ ]: # These are all the modules we'll be using later. Make sure you can import them # before proceeding further. import cPickle as pickle import numpy as np import tensorflow as tf # First reload the data we generated in `1_notmist.ipynb`. # In[ ]: pickle_file = 'notMNIST.pickle' with open(pickle_file, 'rb') as f: save = pickle.load(f) train_dataset = save['train_dataset'] train_labels = save['train_labels'] valid_dataset = save['valid_dataset'] valid_labels = save['valid_labels'] test_dataset = save['test_dataset'] test_labels = save['test_labels'] del save # hint to help gc free up memory print 'Training set', train_dataset.shape, train_labels.shape print 'Validation set', valid_dataset.shape, valid_labels.shape print 'Test set', test_dataset.shape, test_labels.shape # Reformat into a shape that's more adapted to the models we're going to train: # - data as a flat matrix, # - labels as float 1-hot encodings. # In[ ]: image_size = 28 num_labels = 10 def reformat(dataset, labels): dataset = dataset.reshape((-1, image_size * image_size)).astype(np.float32) # Map 0 to [1.0, 0.0, 0.0 ...], 1 to [0.0, 1.0, 0.0 ...] labels = (np.arange(num_labels) == labels[:,None]).astype(np.float32) return dataset, labels train_dataset, train_labels = reformat(train_dataset, train_labels) valid_dataset, valid_labels = reformat(valid_dataset, valid_labels) test_dataset, test_labels = reformat(test_dataset, test_labels) print 'Training set', train_dataset.shape, train_labels.shape print 'Validation set', valid_dataset.shape, valid_labels.shape print 'Test set', test_dataset.shape, test_labels.shape # We're first going to train a multinomial logistic regression using simple gradient descent. # # TensorFlow works like this: # * First you describe the computation that you want to see performed: what the inputs, the variables, and the operations look like. These get created as nodes over a computation graph. This description is all contained within the block below: # # with graph.as_default(): # ... # # * Then you can run the operations on this graph as many times as you want by calling `session.run()`, providing it outputs to fetch from the graph that get returned. This runtime operation is all contained in the block below: # # with tf.Session(graph=graph) as session: # ... # # Let's load all the data into TensorFlow and build the computation graph corresponding to our training: # In[ ]: # With gradient descent training, even this much data is prohibitive. # Subset the training data for faster turnaround. train_subset = 10000 graph = tf.Graph() with graph.as_default(): # Input data. # Load the training, validation and test data into constants that are # attached to the graph. tf_train_dataset = tf.constant(train_dataset[:train_subset, :]) tf_train_labels = tf.constant(train_labels[:train_subset]) tf_valid_dataset = tf.constant(valid_dataset) tf_test_dataset = tf.constant(test_dataset) # Variables. # These are the parameters that we are going to be training. The weight # matrix will be initialized using random valued following a (truncated) # normal distribution. The biases get initialized to zero. weights = tf.Variable( tf.truncated_normal([image_size * image_size, num_labels])) biases = tf.Variable(tf.zeros([num_labels])) # Training computation. # We multiply the inputs with the weight matrix, and add biases. We compute # the softmax and cross-entropy (it's one operation in TensorFlow, because # it's very common, and it can be optimized). We take the average of this # cross-entropy across all training examples: that's our loss. logits = tf.matmul(tf_train_dataset, weights) + biases loss = tf.reduce_mean( tf.nn.softmax_cross_entropy_with_logits(logits, tf_train_labels)) # Optimizer. # We are going to find the minimum of this loss using gradient descent. optimizer = tf.train.GradientDescentOptimizer(0.5).minimize(loss) # Predictions for the training, validation, and test data. # These are not part of training, but merely here so that we can report # accuracy figures as we train. train_prediction = tf.nn.softmax(logits) valid_prediction = tf.nn.softmax( tf.matmul(tf_valid_dataset, weights) + biases) test_prediction = tf.nn.softmax(tf.matmul(tf_test_dataset, weights) + biases) # Let's run this computation and iterate: # In[ ]: num_steps = 801 def accuracy(predictions, labels): return (100.0 * np.sum(np.argmax(predictions, 1) == np.argmax(labels, 1)) / predictions.shape[0]) with tf.Session(graph=graph) as session: # This is a one-time operation which ensures the parameters get initialized as # we described in the graph: random weights for the matrix, zeros for the # biases. tf.global_variables_initializer().run() print 'Initialized' for step in xrange(num_steps): # Run the computations. We tell .run() that we want to run the optimizer, # and get the loss value and the training predictions returned as numpy # arrays. _, l, predictions = session.run([optimizer, loss, train_prediction]) if (step % 100 == 0): print 'Loss at step', step, ':', l print 'Training accuracy: %.1f%%' % accuracy( predictions, train_labels[:train_subset, :]) # Calling .eval() on valid_prediction is basically like calling run(), but # just to get that one numpy array. Note that it recomputes all its graph # dependencies. print 'Validation accuracy: %.1f%%' % accuracy( valid_prediction.eval(), valid_labels) print 'Test accuracy: %.1f%%' % accuracy(test_prediction.eval(), test_labels) # Let's now switch to stochastic gradient descent training instead, which is much faster. # # The graph will be similar, except that instead of holding all the training data into a constant node, we create a `Placeholder` node which will be fed actual data at every call of `sesion.run()`. # In[ ]: batch_size = 128 graph = tf.Graph() with graph.as_default(): # Input data. For the training data, we use a placeholder that will be fed # at run time with a training minibatch. tf_train_dataset = tf.placeholder(tf.float32, shape=(batch_size, image_size * image_size)) tf_train_labels = tf.placeholder(tf.float32, shape=(batch_size, num_labels)) tf_valid_dataset = tf.constant(valid_dataset) tf_test_dataset = tf.constant(test_dataset) # Variables. weights = tf.Variable( tf.truncated_normal([image_size * image_size, num_labels])) biases = tf.Variable(tf.zeros([num_labels])) # Training computation. logits = tf.matmul(tf_train_dataset, weights) + biases loss = tf.reduce_mean( tf.nn.softmax_cross_entropy_with_logits(logits, tf_train_labels)) # Optimizer. optimizer = tf.train.GradientDescentOptimizer(0.5).minimize(loss) # Predictions for the training, validation, and test data. train_prediction = tf.nn.softmax(logits) valid_prediction = tf.nn.softmax( tf.matmul(tf_valid_dataset, weights) + biases) test_prediction = tf.nn.softmax(tf.matmul(tf_test_dataset, weights) + biases) # Let's run it: # In[ ]: num_steps = 3001 with tf.Session(graph=graph) as session: tf.global_variables_initializer().run() print "Initialized" for step in xrange(num_steps): # Pick an offset within the training data, which has been randomized. # Note: we could use better randomization across epochs. offset = (step * batch_size) % (train_labels.shape[0] - batch_size) # Generate a minibatch. batch_data = train_dataset[offset:(offset + batch_size), :] batch_labels = train_labels[offset:(offset + batch_size), :] # Prepare a dictionary telling the session where to feed the minibatch. # The key of the dictionary is the placeholder node of the graph to be fed, # and the value is the numpy array to feed to it. feed_dict = {tf_train_dataset : batch_data, tf_train_labels : batch_labels} _, l, predictions = session.run( [optimizer, loss, train_prediction], feed_dict=feed_dict) if (step % 500 == 0): print "Minibatch loss at step", step, ":", l print "Minibatch accuracy: %.1f%%" % accuracy(predictions, batch_labels) print "Validation accuracy: %.1f%%" % accuracy( valid_prediction.eval(), valid_labels) print "Test accuracy: %.1f%%" % accuracy(test_prediction.eval(), test_labels) # --- # Problem # ------- # # Turn the logistic regression example with SGD into a 1-hidden layer neural network with rectified linear units (nn.relu()) and 1024 hidden nodes. This model should improve your validation / test accuracy. # # ---