TensorFlow-多層パーセプトロン学習

多層パーセプトロンは、人工ニューラルネットワークの最も複雑なアーキテクチャを定義します。実質的にパーセプトロンの複数の層から形成されます。

多層パーセプトロン学習の図式表現は以下のとおりです-

MLPネットワークは通常、教師あり学習形式に使用されます。 MLPネットワークの典型的な学習アルゴリズムは、逆伝播アルゴリズムとも呼ばれます。

次に、画像分類問題のMLPを使用した実装に焦点を当てます。

# Import MINST data
from tensorflow.examples.tutorials.mnist import input_data
mnist = input_data.read_data_sets("/tmp/data/", one_hot = True)

import tensorflow as tf
import matplotlib.pyplot as plt

# Parameters
learning_rate = 0.001
training_epochs = 20
batch_size = 100
display_step = 1

# Network Parameters
n_hidden_1 = 256

# 1st layer num features
n_hidden_2 = 256 # 2nd layer num features
n_input = 784 # MNIST data input (img shape: 28*28) n_classes = 10
# MNIST total classes (0-9 digits)

# tf Graph input
x = tf.placeholder("float", [None, n_input])
y = tf.placeholder("float", [None, n_classes])

# weights layer 1
h = tf.Variable(tf.random_normal([n_input, n_hidden_1])) # bias layer 1
bias_layer_1 = tf.Variable(tf.random_normal([n_hidden_1]))
# layer 1 layer_1 = tf.nn.sigmoid(tf.add(tf.matmul(x, h), bias_layer_1))

# weights layer 2
w = tf.Variable(tf.random_normal([n_hidden_1, n_hidden_2]))

# bias layer 2
bias_layer_2 = tf.Variable(tf.random_normal([n_hidden_2]))

# layer 2
layer_2 = tf.nn.sigmoid(tf.add(tf.matmul(layer_1, w), bias_layer_2))

# weights output layer
output = tf.Variable(tf.random_normal([n_hidden_2, n_classes]))

# biar output layer
bias_output = tf.Variable(tf.random_normal([n_classes])) # output layer
output_layer = tf.matmul(layer_2, output) + bias_output

# cost function
cost = tf.reduce_mean(tf.nn.sigmoid_cross_entropy_with_logits(
   logits = output_layer, labels = y))

#cost = tf.reduce_mean(tf.nn.sigmoid_cross_entropy_with_logits(output_layer, y))
# optimizer
optimizer = tf.train.AdamOptimizer(learning_rate = learning_rate).minimize(cost)

# optimizer = tf.train.GradientDescentOptimizer(
   learning_rate = learning_rate).minimize(cost)

# Plot settings
avg_set = []
epoch_set = []

# Initializing the variables
init = tf.global_variables_initializer()

# Launch the graph
with tf.Session() as sess:
   sess.run(init)

   # Training cycle
   for epoch in range(training_epochs):
      avg_cost = 0.
      total_batch = int(mnist.train.num_examples/batch_size)

      # Loop over all batches
      for i in range(total_batch):
         batch_xs, batch_ys = mnist.train.next_batch(batch_size)
         # Fit training using batch data sess.run(optimizer, feed_dict = {
            x: batch_xs, y: batch_ys})
         # Compute average loss
         avg_cost += sess.run(cost, feed_dict = {x: batch_xs, y: batch_ys})/total_batch
      # Display logs per epoch step
      if epoch % display_step == 0:
         print
         Epoch:", '%04d' % (epoch + 1), "cost=", "{:.9f}".format(avg_cost)
      avg_set.append(avg_cost)
      epoch_set.append(epoch + 1)
   print
   "Training phase finished"

   plt.plot(epoch_set, avg_set, 'o', label = 'MLP Training phase')
   plt.ylabel('cost')
   plt.xlabel('epoch')
   plt.legend()
   plt.show()

   # Test model
   correct_prediction = tf.equal(tf.argmax(output_layer, 1), tf.argmax(y, 1))

   # Calculate accuracy
   accuracy = tf.reduce_mean(tf.cast(correct_prediction, "float"))
   print
   "Model Accuracy:", accuracy.eval({x: mnist.test.images, y: mnist.test.labels})

上記のコード行は、次の出力を生成します-

MLPによる実装

Tensorflow-multi-layer-perceptron-learning

TensorFlow-多層パーセプトロン学習