常见的前馈神经网络有感知机(Perceptrons)、BP(Back Propagation)网络、RBF(Radial Basis Function)网络等。
感知器(又叫感知机)是最简单的前馈网络,它主要用于模式分类,也可用在基于模式分类的学习控制和多模态控制中。感知器网络可分为单层感知器网络和多层感知器网络。
BP网络是指连接权调整采用了反向传播学习算法的前馈网络。与感知器不同之处在于,BP网络的神经元变换函数采用了S形函数(Sigmoid函数),因此输出量是 0~1之间的连续量,可实现从输入到输出的任意的非线性映射。
RBF网络是指隐含层神经元由RBF神经元组成的前馈网络。RBF神经元是指神经元的变换函数为RBF(Radial Basis Function,径向基函数)的神经元。典型的RBF网络由三层组成:一个输入层,一个或多个由RBF神经元组成的RBF层(隐含层),一个由线性神经元组成的输出层。
代码实现
import torch as tr
import torch.nn as nn
import torchvision.datasets as dsets
import torchvision.transforms as transforms
import torch.utils.data as Data
import matplotlib.pyplot as plt
from torch.autograd import Variable
input_size = 784
hidden_size = 500
num_classes = 10
num_epochs = 5
batch_size = 100
learning_rate = 0.001
train_dataset = dsets.MNIST(root='./data',
train=True,
transform=transforms.ToTensor(),
download=True)
test_dataset = dsets.MNIST(root='./data',
train=False,
transform=transforms.ToTensor())
train_loader = Data.DataLoader(dataset=train_dataset,
batch_size=batch_size,
shuffle=True)
test_loader = Data.DataLoader(dataset=test_dataset,
batch_size=batch_size,
shuffle=True)
class Net(nn.Module):
"""
net
"""
def __init__(self, input_size, hideen_size, num_classes):
"""
init
"""
super(Net, self).__init__()
self.fc1 = nn.Linear(input_size, hidden_size)
self.relu = nn.ReLU()
self.fc2 = nn.Linear(hidden_size, num_classes)
def forward(self, x):
"""
forward func
"""
out = self.fc1(x)
out = self.relu(out)
out = self.fc2(out)
return out
net = Net(input_size, hidden_size, num_classes)
print(net)
loss_func = nn.CrossEntropyLoss()
optimizer = tr.optim.Adam(net.parameters(), lr=learning_rate)
for epoch in range(num_epochs):
for i, (images, labels) in enumerate(train_loader):
images = Variable(images.view(-1, 28*28))
labels = Variable(labels)
optimizer.zero_grad()
outputs = net(images)
loss = loss_func(outputs, labels)
loss.backward()
optimizer.step()
if (i+1) % 100 == 0:
print('Epoch: [%d/%d], Step: [%d/%d], Loss: %.4f' % (epoch+1, num_epochs, i+1,
len(train_dataset)//batch_size, loss.item()))
correct = 0
total = 0
for images, labels in test_loader:
images = Variable(images.view(-1, 28*28))
outputs = net(images)
_, predicted = tr.max(outputs.data, 1)
total += labels.size(0)
correct += (predicted == labels).sum()
print('Acdcuracy of the model on the 10000 test images: %d %%' %
(100 * correct / total))
for i in range(1,4):
plt.imshow(train_dataset.train_data[i].numpy(), cmap='gray')
plt.title('%i' % train_dataset.train_labels[i])
plt.show()
test_output = net(images[:20])
pred_y = tr.max(test_output, 1)[1].data.numpy().squeeze()
print('prediction number', pred_y)
print('real number', labels[:20].numpy())
tr.save(net.state_dict(), 'net.pkl')