import torch
import torch.nn as nn
import numpy as np
import matplotlib.pyplot as plt
from torch.autograd import Variable

Hyper Parameters

input_size = 1
output_size = 1
num_epochs = 1000
learning_rate = 0.001

x_train = np.array([[2.3], [4.4], [3.7], [6.1], [7.3], [2.1],[5.6], [7.7], [8.7], [4.1],

                [6.7], [6.1], [7.5], [2.1], [7.2],

                [5.6], [5.7], [7.7], [3.1]], dtype=np.float32)

#xtrain生成矩阵数据

y_train = np.array([[3.7], [4.76], [4.], [7.1], [8.6], [3.5],[5.4], [7.6], [7.9], [5.3],

                [7.3], [7.5], [8.5], [3.2], [8.7],

                [6.4], [6.6], [7.9], [5.3]], dtype=np.float32)

plt.figure()
#画图散点图
plt.scatter(x_train,y_train)
plt.xlabel(‘x_train’)
#x轴名称
plt.ylabel(‘y_train’)
#y轴名称
#显示图片
plt.show()

Linear Regression Model

class LinearRegression(nn.Module):
def init(self, input_size, output_size):
super(LinearRegression, self).init()
self.linear = nn.Linear(input_size, output_size)

def forward(self, x):
    out = self.linear(x)
    return out

model = LinearRegression(input_size, output_size)

Loss and Optimizer

criterion = nn.MSELoss()
optimizer = torch.optim.SGD(model.parameters(), lr=learning_rate) 采用随机梯度下降

Train the Model

for epoch in range(num_epochs):
# Convert numpy array to torch Variable
inputs = Variable(torch.from_numpy(x_train))
targets = Variable(torch.from_numpy(y_train))

# Forward + Backward + Optimize
optimizer.zero_grad()  
outputs = model(inputs)#前向传播
loss = criterion(outputs, targets)#计算loss    #实例化后好像直接调用实例名()
loss.backward()
optimizer.step()#更新参数

if (epoch+1) % 5 == 0:
	a=loss.item()#新版本下用item(),而不是data()
	

	print('epoch[%d/%d],Loss: %.4f'%(epoch+1,num_epochs,a))

Plot the graph

c=list(range(20))

model.eval()
predicted = model(Variable(torch.from_numpy(x_train))).data.numpy()
plt.plot(x_train, y_train, ‘ro’)
plt.plot(x_train, predicted, label=‘predict’)

plt.legend()
plt.show()

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