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目录
1 Linear Regression
2 Dataloader 数据读取机制
3 代码
1 Linear Regression
使用Pytorch实现,步骤如下:
PyTorch Fashion(风格)
- prepare dataset
- design model using Class ,前向传播,计算y_pred
- Construct loss and optimizer,计算loss,Optimizer 更新w
- Training cycle (forward,backward,update)
2 Dataloader 数据读取机制
- Pytorch数据读取机制
一文搞懂Pytorch数据读取机制!_pytorch的batch读取数据-CSDN博客
- 小批量数据读取
import torch
import torch.utils.data as Data BATCH_SIZE = 3x_data = torch.tensor([[1.0],[2.0],[3.0],[4.0],[5.0],[6.0],[7.0],[8.0],[9.0]])
y_data = torch.tensor([[2.0],[4.0],[6.0],[8.0],[10.0],[12.0],[14.0],[16.0],[18.0]])dataset = Data.TensorDataset(x_data,y_data)loader = Data.DataLoader( dataset=dataset, batch_size=BATCH_SIZE, shuffle=True, num_workers=0
)for epoch in range(3): for step, (batch_x, batch_y) in enumerate(loader): print('epoch', epoch, '| step:', step, '| batch_x', batch_x, '| batch_y:', batch_y)
3 代码
import torch
import torch.utils.data as Data
import matplotlib.pyplot as plt
# prepare datasetBATCH_SIZE = 3epoch_list = []
loss_list = []x_data = torch.tensor([[1.0],[2.0],[3.0],[4.0],[5.0],[6.0],[7.0],[8.0],[9.0]])
y_data = torch.tensor([[2.0],[4.0],[6.0],[8.0],[10.0],[12.0],[14.0],[16.0],[18.0]])dataset = Data.TensorDataset(x_data,y_data)loader = Data.DataLoader( dataset=dataset, batch_size=BATCH_SIZE, shuffle=True, num_workers=0
)#design model using class
"""
our model class should be inherit from nn.Module, which is base class for all neural network modules.
member methods __init__() and forward() have to be implemented
class nn.linear contain two member Tensors: weight and bias
class nn.Linear has implemented the magic method __call__(),which enable the instance of the class can
be called just like a function.Normally the forward() will be called
"""
class LinearModel(torch.nn.Module):def __init__(self):super(LinearModel, self).__init__()# (1,1)是指输入x和输出y的特征维度,这里数据集中的x和y的特征都是1维的# 该线性层需要学习的参数是w和b 获取w/b的方式分别是~linear.weight/linear.biasself.linear = torch.nn.Linear(1, 1)def forward(self, x):y_pred = self.linear(x)return y_predmodel = LinearModel()# construct loss and optimizer
# criterion = torch.nn.MSELoss(size_average = False)
criterion = torch.nn.MSELoss(reduction = 'sum')
optimizer = torch.optim.SGD(model.parameters(), lr = 0.01) # training cycle forward, backward, update
for epoch in range(1000): for iteration, (batch_x, batch_y) in enumerate(loader): y_pred = model(batch_x) # forwardloss = criterion(y_pred, batch_y) # backward# print("epoch: ",epoch, " iteration: ",iteration," loss: ",loss.item())optimizer.zero_grad() # the grad computer by .backward() will be accumulated. so before backward, remember set the grad to zeroloss.backward() # backward: autograd,自动计算梯度optimizer.step() # update 参数,即更新w和b的值print("epoch: ",epoch, " loss: ",loss.item())epoch_list.append(epoch)loss_list.append(loss.data.item())if (loss.data.item() < 1e-7):print("Epoch: ",epoch+1,"loss is: ",loss.data.item(),"(w,b): ","(",model.linear.weight.item(),",",model.linear.bias.item(),")")breakprint('w = ', model.linear.weight.item())
print('b = ', model.linear.bias.item())x_test = torch.tensor([[10.0]])
y_test = model(x_test)
print('y_pred = ', y_test.data)plt.plot(epoch_list,loss_list)
plt.title("SGD")
plt.xlabel("epoch")
plt.ylabel("loss")
plt.savefig("./data/pytorch4.png")
- 几种不同的优化器对应的结果:
Pytorch优化器全总结(三)牛顿法、BFGS、L-BFGS 含代码
pytorch LBFGS_lbfgs优化器-CSDN博客
scg.step() missing 1 required positiona-CSDN博客
- LFBGS 代码
import torch
import torch.utils.data as Data
import matplotlib.pyplot as plt
# prepare datasetBATCH_SIZE = 3epoch_list = []
loss_list = []x_data = torch.tensor([[1.0],[2.0],[3.0],[4.0],[5.0],[6.0],[7.0],[8.0],[9.0]])
y_data = torch.tensor([[2.0],[4.0],[6.0],[8.0],[10.0],[12.0],[14.0],[16.0],[18.0]])dataset = Data.TensorDataset(x_data,y_data)loader = Data.DataLoader( dataset=dataset, batch_size=BATCH_SIZE, shuffle=True, num_workers=0
)#design model using class
"""
our model class should be inherit from nn.Module, which is base class for all neural network modules.
member methods __init__() and forward() have to be implemented
class nn.linear contain two member Tensors: weight and bias
class nn.Linear has implemented the magic method __call__(),which enable the instance of the class can
be called just like a function.Normally the forward() will be called
"""
class LinearModel(torch.nn.Module):def __init__(self):super(LinearModel, self).__init__()# (1,1)是指输入x和输出y的特征维度,这里数据集中的x和y的特征都是1维的# 该线性层需要学习的参数是w和b 获取w/b的方式分别是~linear.weight/linear.biasself.linear = torch.nn.Linear(1, 1)def forward(self, x):y_pred = self.linear(x)return y_predmodel = LinearModel()# construct loss and optimizer
# criterion = torch.nn.MSELoss(size_average = False)
criterion = torch.nn.MSELoss(reduction = 'sum')
optimizer = torch.optim.LBFGS(model.parameters(), lr = 0.1) # model.parameters()自动完成参数的初始化操作,这个地方我可能理解错了loss = torch.Tensor([1000.])
# training cycle forward, backward, update
for epoch in range(1000): for iteration, (batch_x, batch_y) in enumerate(loader):def closure():y_pred = model(batch_x) # forwardloss = criterion(y_pred, batch_y) # backward# print("epoch: ",epoch, " iteration: ",iteration," loss: ",loss.item())optimizer.zero_grad() # the grad computer by .backward() will be accumulated. so before backward, remember set the grad to zeroloss.backward() # backward: autograd,自动计算梯度return lossloss = closure()optimizer.step(closure) # update 参数,即更新w和b的值print("epoch: ",epoch, " loss: ",loss.item())epoch_list.append(epoch)loss_list.append(loss.data.item())if (loss.data.item() < 1e-7):print("Epoch: ",epoch+1,"loss is: ",loss.data.item(),"(w,b): ","(",model.linear.weight.item(),",",model.linear.bias.item(),")")breakprint('w = ', model.linear.weight.item())
print('b = ', model.linear.bias.item())x_test = torch.tensor([[10.0]])
y_test = model(x_test)
print('y_pred = ', y_test.data)plt.plot(epoch_list,loss_list)
plt.title("LBFGS(lr = 0.1)")
plt.xlabel("epoch")
plt.ylabel("loss")
plt.savefig("./data/pytorch4.png")
- Rprop:
Rprop 优化方法(弹性反向传播),适用于 full-batch,不适用于 mini-batch,因而在 mini-batch 大行其道的时代里,很少见到。
优点:它可以自动调节学习率,不需要人为调节
缺点:仍依赖于人工设置一个全局学习率,随着迭代次数增多,学习率会越来越小,最终会趋近于0
结果:修改学习率和epoch均不能使其表现良好,无法满足1e-7精度条件下收敛
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