1.导入需要的模块
import torch
import torch.utils.data as Data
import torch.nn.functional as F
import matplotlib.pyplot as plt
LR = 0.01
BATCH_SIZE = 32
EPOCH = 12
2.生成数据
x = torch.unsqueeze(torch.linspace(-1, 1, 1000), dim=1)
y = x.pow(2) + 0.1 * torch.normal(torch.zeros(*x.size()))
torch_dataset = Data.TensorDataset(x, y)
loader = Data.DataLoader(dataset=torch_dataset, batch_size=BATCH_SIZE, shuffle=True)
3.构建神经网络
class Net2(torch.nn.Module):
def __init__(self):
super(Net2, self).__init__()
self.hidden = torch.nn.Linear(1, 20)
self.predict = torch.nn.Linear(20, 1)
def forward(self, x):
x = F.relu(self.hidden(x))
x = self.predict(x)
return x
4.使用多种优化器
net_SGD = Net2()
net_Momentum = Net2()
net_RMSProp = Net2()
net_Adam = Net2()
nets = [net_SGD, net_Momentum, net_RMSProp, net_Adam]
opt_SGD = torch.optim.SGD(net_SGD.parameters(), lr=LR)
opt_Momentum = torch.optim.SGD(net_Momentum.parameters(), lr=LR, momentum=0.9)
opt_RMSProp = torch.optim.RMSprop(net_RMSProp.parameters(), lr=LR, alpha=0.9)
opt_Adam = torch.optim.Adam(net_Adam.parameters(), lr=LR, betas=(0.9, 0.99))
optimizers = [opt_SGD, opt_Momentum, opt_RMSProp, opt_Adam]
5.训练模型
loss_func = torch.nn.MSELoss()
loss_his = [[], [], [], []]
for epoch in range(EPOCH):
for step, (batch_x, batch_y) in enumerate(loader):
for net, opt, l_his in zip(nets, optimizers, loss_his):
output = net(batch_x)
loss = loss_func(output, batch_y)
opt.zero_grad()
loss.backward()
opt.step()
l_his.append(loss.data.numpy())
labels = ['SGD', 'Momentum', 'RMSprop', 'Adam']
6.可视化结果
for i, l_his in enumerate(loss_his):
plt.plot(l_his, label=labels[i])
plt.legend(loc='best')
plt.xlabel('Steps')
plt.ylabel('Loss')
plt.ylim((0, 0.2))
plt.show()
运行结果如图所示