神经网络拟合二元函数_pytorch实现
神经网络拟合二元函数_pytorch实现
采用神经网络拟合一个简单的二元函数,作为一个入门程序。希望能有些帮助。
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import numpy as npimport matplotlib.pyplot as pltimport randomimport torchfrom torch.nn import functional as Fclass Neuro_net(torch.nn.Module): """搭建神经网络""" def __init__(self): super(Neuro_net, self).__init__() # 继承__init__功能 self.hidden_layer1 = torch.nn.Linear(2, 100) self.hidden_layer2 = torch.nn.Linear(100, 100) self.output_layer = torch.nn.Linear(100, 1) def forward(self, x): x = self.hidden_layer1(x) x = F.relu(x) c = x for i in range(3): x = self.hidden_layer2(x) x = F.relu(x) pridect_y = self.output_layer(x) return pridect_y train_data = np.zeros((10000,3))for i in range(10000): train_data[i][0] = random.uniform(-1, 1) train_data[i][1] = random.uniform(-1, 1) train_data[i][2] = train_data[i][0]**2 + train_data[i][1]**2x_data = train_data[:, 0:2]y_data = train_data[:, 2].reshape(10000, 1)print(x_data.shape, y_data.shape)net = Neuro_net()# optimizer 优化optimizer = torch.optim.SGD(net.parameters(), lr=0.2)# loss funactionloss_funaction = torch.nn.MSELoss()epoch = 500x_data = torch.tensor(x_data, dtype=torch.float32)y_data = torch.tensor(y_data, dtype=torch.float32)plt.ion()for step in range(epoch): pridect_y = net(x_data) # 喂入训练数据 得到预测的y值 loss = loss_funaction(pridect_y, y_data) # 计算损失 optimizer.zero_grad() # 为下一次训练清除上一步残余更新参数 loss.backward() # 误差反向传播,计算梯度 optimizer.step() # 将参数更新值施加到 net 的 parameters 上 if step % 100 == 0: print("已训练{}步 | loss:{}.".format(step, loss)) plt.cla() ax = plt.subplot(111, projection='3d') ax.scatter(x_data[:, 0], x_data[:, 1], y_data, c='g') ax.scatter(x_data[:, 0], x_data[:, 1], pridect_y.data.numpy(), c='r') plt.pause(0.1)plt.ioff()plt.show()test_data = np.zeros((2000, 4))for i in range(2000): test_data[i][0] = random.uniform(-1, 1) test_data[i][1] = random.uniform(-1, 1) test_data[i][2] = test_data[i][0]**2 + test_data[i][1]**2 x_test = test_data[:, 0:2]x_test = torch.tensor(x_test, dtype=torch.float32)y_test = net(x_data)ax = plt.subplot(111, projection='3d')ax.scatter(x_data[:, 0].data.numpy(), x_data[:, 1].data.numpy(), y_test[:, 0].data.numpy(), c='r')plt.show()1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.41.42.43.44.45.46.47.48.49.50.51.52.53.54.55.56.57.58.59.60.61.62.63.64.65.66.67.68.69.70.71.72.73.74.75.76.77.78.
程序运行过程
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来自51CTO博客作者lidb002的原创作品,如需转载,请注明出处,否则将追究法律责任
https://blog.51cto.com/u_10182395/2794311