pytorch Dropout过拟合的操作

import torch
from torch.autograd import Variable
import matplotlib.pyplot as plt
torch.manual_seed(1)
N_SAMPLES = 20
N_HIDDEN = 300
# training data
x = torch.unsqueeze(torch.linspace(-1, 1, N_SAMPLES), 1)
y = x + 0.3 * torch.normal(torch.zeros(N_SAMPLES, 1), torch.ones(N_SAMPLES, 1))
x, y = Variable(x), Variable(y)
# test data
test_x = torch.unsqueeze(torch.linspace(-1, 1, N_SAMPLES), 1)
test_y = test_x + 0.3 * torch.normal(torch.zeros(N_SAMPLES, 1), torch.ones(N_SAMPLES, 1))
test_x = Variable(test_x, volatile=True)
test_y = Variable(test_y, volatile=True)
# show data
# plt.scatter(x.data.numpy(), y.data.numpy(), c='magenta', s=50, alpha=0.5, label='train')
# plt.scatter(test_x.data.numpy(), test_y.data.numpy(), c='cyan', s=50, alpha=0.5, label='test')
# plt.legend(loc='upper left')
# plt.ylim((-2.5, 2.5))
# plt.show()
net_overfitting = torch.nn.Sequential(
 torch.nn.Linear(1, N_HIDDEN),
 torch.nn.ReLU(),
 torch.nn.Linear(N_HIDDEN, N_HIDDEN),
 torch.nn.ReLU(),
 torch.nn.Linear(N_HIDDEN, 1),
)
net_dropped = torch.nn.Sequential(
 torch.nn.Linear(1, N_HIDDEN),
 torch.nn.Dropout(0.5),
 torch.nn.ReLU(),
 torch.nn.Linear(N_HIDDEN, N_HIDDEN),
 torch.nn.Dropout(0.5),
 torch.nn.ReLU(),
 torch.nn.Linear(N_HIDDEN, 1),
)
print(net_overfitting)
print(net_dropped)
optimizer_ofit = torch.optim.Adam(
 net_overfitting.parameters(),
 lr = 0.01,
)
optimizer_drop = torch.optim.Adam(
 net_dropped.parameters(),
 lr = 0.01,
)
loss_func = torch.nn.MSELoss()
plt.ion()
for t in range(500):
 pred_ofit = net_overfitting(x)
 pred_drop = net_dropped(x)
 loss_ofit = loss_func(pred_ofit, y)
 loss_drop = loss_func(pred_drop, y)
 optimizer_ofit.zero_grad()
 optimizer_drop.zero_grad()
 loss_ofit.backward()
 loss_drop.backward()
 optimizer_ofit.step()
 optimizer_drop.step()
 if t % 10 == 0:
  net_overfitting.eval()
  net_dropped.eval()
  plt.cla()
  test_pred_ofit = net_overfitting(test_x)
  test_pred_drop = net_dropped(test_x)
  plt.scatter(x.data.numpy(), y.data.numpy(), c='magenta', s=50, alpha=0.3, label='train')
  plt.scatter(test_x.data.numpy(), test_y.data.numpy(), c='cyan', s=50, alpha=0.3, label='test')
  plt.plot(test_x.data.numpy(), test_pred_ofit.data.numpy(), 'r-', lw=3, label='overfitting')
  plt.plot(test_x.data.numpy(), test_pred_drop.data.numpy(), 'b--', lw=3, label='dropout(50%)')
  plt.text(0, -1.2, 'overfitting loss=%.4f' % loss_func(test_pred_ofit, test_y).data[0], fontdict={'size': 20, 'color':  'red'})
  plt.text(0, -1.5, 'dropout loss=%.4f' % loss_func(test_pred_drop, test_y).data[0], fontdict={'size': 20, 'color': 'blue'})
  plt.legend(loc='upper left'); plt.ylim((-2.5, 2.5));plt.pause(0.1)
  net_overfitting.train()
  net_dropped.train()
plt.ioff()
plt.show()

%matplotlib inline
import torch
import torch.nn as nn
import numpy as np
def dropout(X, drop_prob):
 X = X.float()
 assert 0 <= drop_prob <= 1
 keep_prob = 1 - drop_prob
 # 这种情况下把全部元素都丢弃
 if keep_prob == 0:
  return torch.zeros_like(X)
 mask = (torch.rand(X.shape) < keep_prob).float()
 return mask * X / keep_prob

num_inputs, num_outputs, num_hiddens1, num_hiddens2 = 784, 10, 256, 256
W1 = torch.tensor(np.random.normal(0, 0.01, size=(num_inputs, num_hiddens1)), dtype=torch.float, requires_grad=True)
b1 = torch.zeros(num_hiddens1, requires_grad=True)
W2 = torch.tensor(np.random.normal(0, 0.01, size=(num_hiddens1, num_hiddens2)), dtype=torch.float, requires_grad=True)
b2 = torch.zeros(num_hiddens2, requires_grad=True)
W3 = torch.tensor(np.random.normal(0, 0.01, size=(num_hiddens2, num_outputs)), dtype=torch.float, requires_grad=True)
b3 = torch.zeros(num_outputs, requires_grad=True)
params = [W1, b1, W2, b2, W3, b3]

drop_prob1, drop_prob2 = 0.2, 0.5
def net(X, is_training=True):
 X = X.view(-1, num_inputs)
 H1 = (torch.matmul(X, W1) + b1).relu()
 if is_training:  # 只在训练模型时使用丢弃法
  H1 = dropout(H1, drop_prob1)  # 在第一层全连接后添加丢弃层
 H2 = (torch.matmul(H1, W2) + b2).relu()
 if is_training:
  H2 = dropout(H2, drop_prob2)  # 在第二层全连接后添加丢弃层
 return torch.matmul(H2, W3) + b3
def evaluate_accuracy(data_iter, net):
 acc_sum, n = 0.0, 0
 for X, y in data_iter:
  if isinstance(net, torch.nn.Module):
net.eval() # 评估模式, 这会关闭dropout
acc_sum += (net(X).argmax(dim=1) == y).float().sum().item()
net.train() # 改回训练模式
  else: # 自定义的模型
if('is_training' in net.__code__.co_varnames): # 如果有is_training这个参数
 # 将is_training设置成False
 acc_sum += (net(X, is_training=False).argmax(dim=1) == y).float().sum().item() 
else:
 acc_sum += (net(X).argmax(dim=1) == y).float().sum().item() 
  n += y.shape[0]
 return acc_sum / n

num_epochs, lr, batch_size = 5, 100.0, 256
loss = torch.nn.CrossEntropyLoss()
def load_data_fashion_mnist(batch_size, resize=None, root='~/Datasets/FashionMNIST'):
 """Download the fashion mnist dataset and then load into memory."""
 trans = []
 if resize:
  trans.append(torchvision.transforms.Resize(size=resize))
 trans.append(torchvision.transforms.ToTensor())
 
 transform = torchvision.transforms.Compose(trans)
 mnist_train = torchvision.datasets.FashionMNIST(root=root, train=True, download=True, transform=transform)
 mnist_test = torchvision.datasets.FashionMNIST(root=root, train=False, download=True, transform=transform)
 if sys.platform.startswith('win'):
  num_workers = 0  # 0表示不用额外的进程来加速读取数据
 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
def train_ch3(net, train_iter, test_iter, loss, num_epochs, batch_size,
  params=None, lr=None, optimizer=None):
 for epoch in range(num_epochs):
  train_l_sum, train_acc_sum, n = 0.0, 0.0, 0
  for X, y in train_iter:
y_hat = net(X)
l = loss(y_hat, y).sum()

# 梯度清零
if optimizer is not None:
 optimizer.zero_grad()
elif params is not None and params[0].grad is not None:
 for param in params:
  param.grad.data.zero_()

l.backward()
if optimizer is None:
 sgd(params, lr, batch_size)
else:
 optimizer.step()  # “softmax回归的简洁实现”一节将用到


train_l_sum += l.item()
train_acc_sum += (y_hat.argmax(dim=1) == y).sum().item()
n += y.shape[0]
  test_acc = evaluate_accuracy(test_iter, net)
  print('epoch %d, loss %.4f, train acc %.3f, test acc %.3f'
  % (epoch + 1, train_l_sum / n, train_acc_sum / n, test_acc))
train_iter, test_iter = load_data_fashion_mnist(batch_size)
train_ch3(net, train_iter, test_iter, loss, num_epochs, batch_size, params, lr)