简述
多层感知器定义了人工神经网络最复杂的架构。它基本上由多层感知器构成。
多层感知器学习的示意图如下所示 -
MLP 网络通常用于监督学习格式。MLP 网络的典型学习算法也称为反向传播算法。
现在,我们将专注于使用 MLP 实现图像分类问题。
# 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})
上面的代码行生成以下输出 -