LeNet分为卷积层块和全连接层块两个部分。
卷积层块里的基本单位是卷积层后接最大池化层:卷积层用来识别图像里的空间模式,如线条和物体局部,之后的最大池化层则用来降低卷积层对位置的敏感性。在卷积层块中,每个卷积层都使用5×5的窗口,并在输出上使用sigmoid激活函数。第一个卷积层输出通道数为6,第二个卷积层输出通道数则增加到16。这是因为第二个卷积层比第一个卷积层的输入的高和宽要小,所以增加输出通道使两个卷积层的参数尺寸类似。卷积层块的两个最大池化层的窗口形状均为2×2,且步幅为2。
使用“Fashion-MNIST”数据集。
mnist_train = torchvision.datasets.FashionMNIST(root='~/Datasets/FashionMNIST', train=True, download=True, transform=transforms.ToTensor())
mnist_test = torchvision.datasets.FashionMNIST(root='~/Datasets/FashionMNIST', train=False, download=True, transform=transforms.ToTensor())
def load_data_fashion_mnist(mnist_train, mnist_test, batch_size):
if sys.platform.startswith('win'):
num_workers = 0
else:
num_workers = 4
train_iter = torch.utils.data.DataLoader(mnist_train, batch_size=batch_size, shuffle=True, num_workers=num_workers)
test_iter = torch.utils.data.DataLoader(mnist_test, batch_size=batch_size, shuffle=False, num_workers=num_workers)
return train_iter, test_iter
batch_size = 256
train_iter, test_iter = load_data_fashion_mnist(mnist_train, mnist_test, batch_size)
class LeNet(nn.Module):
def __init__(self):
super(LeNet, self).__init__()
self.conv = nn.Sequential(
nn.Conv2d(1, 6, 5), # in_channels, out_channels, kernel_size
nn.Sigmoid(),
nn.MaxPool2d(2, 2), # kernel_size, stride
nn.Conv2d(6, 16, 5),
nn.Sigmoid(),
nn.MaxPool2d(2, 2)
)
self.fc = nn.Sequential(
nn.Linear(16*4*4, 120),
nn.Sigmoid(),
nn.Linear(120, 84),
nn.Sigmoid(),
nn.Linear(84, 10)
)
def forward(self, img):
feature = self.conv(img)
output = self.fc(feature.view(img.shape[0], -1))
return output
损失函数使用交叉熵损失。
loss = torch.nn.CrossEntropyLoss()
优化方法使用Adam算法。
optimizer = torch.optim.Adam(net.parameters(), lr=lr)
import torch
from torch import nn
from torch.nn import init
import numpy as np
import sys
import torchvision
import torchvision.transforms as transforms
import time
mnist_train = torchvision.datasets.FashionMNIST(root='~/Datasets/FashionMNIST', train=True, download=True, transform=transforms.ToTensor())
mnist_test = torchvision.datasets.FashionMNIST(root='~/Datasets/FashionMNIST', train=False, download=True, transform=transforms.ToTensor())
def load_data_fashion_mnist(mnist_train, mnist_test, batch_size):
if sys.platform.startswith('win'):
num_workers = 0
else:
num_workers = 4
train_iter = torch.utils.data.DataLoader(mnist_train, batch_size=batch_size, shuffle=True, num_workers=num_workers)
test_iter = torch.utils.data.DataLoader(mnist_test, batch_size=batch_size, shuffle=False, num_workers=num_workers)
return train_iter, test_iter
batch_size = 256
train_iter, test_iter = load_data_fashion_mnist(mnist_train, mnist_test, batch_size)
device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')
class LeNet(nn.Module):
def __init__(self):
super(LeNet, self).__init__()
self.conv = nn.Sequential(
nn.Conv2d(1, 6, 5), # in_channels, out_channels, kernel_size
nn.Sigmoid(),
nn.MaxPool2d(2, 2), # kernel_size, stride
nn.Conv2d(6, 16, 5),
nn.Sigmoid(),
nn.MaxPool2d(2, 2)
)
self.fc = nn.Sequential(
nn.Linear(16*4*4, 120),
nn.Sigmoid(),
nn.Linear(120, 84),
nn.Sigmoid(),
nn.Linear(84, 10)
)
def forward(self, img):
feature = self.conv(img)
output = self.fc(feature.view(img.shape[0], -1))
return output
net = LeNet()
def evaluate_accuracy(data_iter, net, device=None):
if device is None and isinstance(net, torch.nn.Module):
# 如果没指定device就使用net的device
device = list(net.parameters())[0].device
acc_sum, n = 0.0, 0
with torch.no_grad():
for X, y in data_iter:
net.eval() # 评估模式, 这会关闭dropout
acc_sum += (net(X.to(device)).argmax(dim=1) == y.to(device)).float().sum().cpu().item()
net.train() # 改回训练模式
n += y.shape[0]
return acc_sum / n
def train(net, train_iter, test_iter, batch_size, optimizer, device, num_epochs):
net = net.to(device)
print("training on ", device)
loss = torch.nn.CrossEntropyLoss()
for epoch in range(num_epochs):
train_l_sum, train_acc_sum, n, batch_count, start = 0.0, 0.0, 0, 0, time.time()
for X, y in train_iter:
X = X.to(device)
y = y.to(device)
y_hat = net(X)
l = loss(y_hat, y)
optimizer.zero_grad()
l.backward()
optimizer.step()
train_l_sum += l.cpu().item()
train_acc_sum += (y_hat.argmax(dim=1) == y).sum().cpu().item()
n += y.shape[0]
batch_count += 1
test_acc = evaluate_accuracy(test_iter, net)
print('epoch %d, loss %.4f, train acc %.3f, test acc %.3f, time %.1f sec'
% (epoch + 1, train_l_sum / batch_count, train_acc_sum / n, test_acc, time.time() - start))
lr, num_epochs = 0.001, 5
optimizer = torch.optim.Adam(net.parameters(), lr=lr)
train(net, train_iter, test_iter, batch_size, optimizer, device, num_epochs)