# after http://r2rt.com/recurrent-neural-networks-in-tensorflow-i.html
import numpy as np
import tensorflow as tf
%matplotlib inline
import matplotlib.pyplot as plt
# Global config variables
num_steps = 5 # number of truncated backprop steps ('n' in the discussion above)
batch_size = 200
num_classes = 2
state_size = 4
learning_rate = 0.1
def gen_data(size=1000000):
X = np.array(np.random.choice(2, size=(size,)))
Y = []
for i in range(size):
threshold = 0.5
if X[i-3] == 1:
threshold += 0.5
if X[i-8] == 1:
threshold -= 0.25
if np.random.rand() > threshold:
Y.append(0)
else:
Y.append(1)
return X, np.array(Y)
# adapted from https://github.com/tensorflow/tensorflow/blob/master/tensorflow/models/rnn/ptb/reader.py
def gen_batch(raw_data, batch_size, num_steps):
raw_x, raw_y = raw_data
data_length = len(raw_x)
# partition raw data into batches and stack them vertically in a data matrix
batch_partition_length = data_length // batch_size
data_x = np.zeros([batch_size, batch_partition_length], dtype=np.int32)
data_y = np.zeros([batch_size, batch_partition_length], dtype=np.int32)
for i in range(batch_size):
data_x[i] = raw_x[batch_partition_length * i:batch_partition_length * (i + 1)]
data_y[i] = raw_y[batch_partition_length * i:batch_partition_length * (i + 1)]
# further divide batch partitions into num_steps for truncated backprop
epoch_size = batch_partition_length // num_steps
for i in range(epoch_size):
x = data_x[:, i * num_steps:(i + 1) * num_steps]
y = data_y[:, i * num_steps:(i + 1) * num_steps]
yield (x, y)
def gen_epochs(n, num_steps):
for i in range(n):
yield gen_batch(gen_data(), batch_size, num_steps)
"""
Placeholders
"""
x = tf.placeholder(tf.int32, [batch_size, num_steps], name='input_placeholder')
y = tf.placeholder(tf.int32, [batch_size, num_steps], name='labels_placeholder')
init_state = tf.zeros([batch_size, state_size])
"""
RNN Inputs
"""
# Turn our x placeholder into a list of one-hot tensors:
# rnn_inputs is a list of num_steps tensors with shape [batch_size, num_classes]
x_one_hot = tf.one_hot(x, num_classes)
rnn_inputs = tf.unpack(x_one_hot, axis=1)
"""
Definition of rnn_cell
This is very similar to the __call__ method on Tensorflow's BasicRNNCell. See:
https://github.com/tensorflow/tensorflow/blob/master/tensorflow/python/ops/rnn_cell.py
with tf.variable_scope('rnn_cell', reuse=False):
W = tf.get_variable('W', [num_classes + state_size, state_size])
b = tf.get_variable('b', [state_size], initializer=tf.constant_initializer(0.0))
def rnn_cell(rnn_input, state):
with tf.variable_scope('rnn_cell', reuse=True):
W = tf.get_variable('W', [num_classes + state_size, state_size])
b = tf.get_variable('b', [state_size], initializer=tf.constant_initializer(0.0))
return tf.tanh(tf.matmul(tf.concat(1, [rnn_input, state]), W) + b)
"""
"""
Adding rnn_cells to graph
This is a simplified version of the "rnn" function from Tensorflow's api. See:
https://github.com/tensorflow/tensorflow/blob/master/tensorflow/python/ops/rnn.py
state = init_state
rnn_outputs = []
for rnn_input in rnn_inputs:
state = rnn_cell(rnn_input, state)
rnn_outputs.append(state)
final_state = rnn_outputs[-1]
"""
'\nAdding rnn_cells to graph\n\nThis is a simplified version of the "rnn" function from Tensorflow\'s api. See:\nhttps://github.com/tensorflow/tensorflow/blob/master/tensorflow/python/ops/rnn.py\n\n\nstate = init_state\nrnn_outputs = []\nfor rnn_input in rnn_inputs:\n state = rnn_cell(rnn_input, state)\n rnn_outputs.append(state)\nfinal_state = rnn_outputs[-1]\n'
cell = tf.nn.rnn_cell.BasicRNNCell(state_size)
rnn_outputs, final_state = tf.nn.rnn(cell, rnn_inputs, initial_state=init_state)
len(rnn_inputs)
5
#with tf.Session().as_default(): print(t.eval())
"""
Predictions, loss, training step
Losses and total_loss are simlar to the "sequence_loss_by_example" and "sequence_loss"
functions, respectively, from Tensorflow's api. See:
https://github.com/tensorflow/tensorflow/blob/master/tensorflow/python/ops/seq2seq.py
"""
#logits and predictions
with tf.variable_scope('softmax'):
W = tf.get_variable('W', [state_size, num_classes])
b = tf.get_variable('b', [num_classes], initializer=tf.constant_initializer(0.0))
logits = [tf.matmul(rnn_output, W) + b for rnn_output in rnn_outputs]
predictions = [tf.nn.softmax(logit) for logit in logits]
# Turn our y placeholder into a list labels
y_as_list = [tf.squeeze(i, squeeze_dims=[1]) for i in tf.split(1, num_steps, y)]
#losses and train_step
"""
losses = [tf.nn.sparse_softmax_cross_entropy_with_logits(logit,label) for \
logit, label in zip(logits, y_as_list)]
"""
loss_weights = [tf.ones([batch_size]) for i in range(num_steps)]
losses = tf.nn.seq2seq.sequence_loss_by_example(logits, y_as_list, loss_weights)
total_loss = tf.reduce_mean(losses)
train_step = tf.train.AdagradOptimizer(learning_rate).minimize(total_loss)
"""
Function to train the network
"""
def train_network(num_epochs, num_steps, state_size=4, verbose=True):
with tf.Session() as sess:
sess.run(tf.initialize_all_variables())
training_losses = []
for idx, epoch in enumerate(gen_epochs(num_epochs, num_steps)):
training_loss = 0
training_state = np.zeros((batch_size, state_size))
if verbose:
print("\nEPOCH", idx)
for step, (X, Y) in enumerate(epoch):
tr_losses, training_loss_, training_state, _ = \
sess.run([losses,
total_loss,
final_state,
train_step],
feed_dict={x:X, y:Y, init_state:training_state})
training_loss += training_loss_
if step % 100 == 0 and step > 0:
if verbose:
print("Average loss at step", step,
"for last 250 steps:", training_loss/100)
training_losses.append(training_loss/100)
training_loss = 0
return training_losses
training_losses = train_network(1,num_steps)
plt.plot(training_losses)
EPOCH 0 Average loss at step 100 for last 250 steps: 0.604084196687 Average loss at step 200 for last 250 steps: 0.562621814013 Average loss at step 300 for last 250 steps: 0.553829800487 Average loss at step 400 for last 250 steps: 0.530663509965 Average loss at step 500 for last 250 steps: 0.521151310503 Average loss at step 600 for last 250 steps: 0.520915334821 Average loss at step 700 for last 250 steps: 0.518614354432 Average loss at step 800 for last 250 steps: 0.519400427639 Average loss at step 900 for last 250 steps: 0.517323300242
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