• RNN Layer torch.nn.RNN(input_size,hidden_size,num_layers,batch_first)

  • input_size: 输入的编码维度
  • hidden_size: 隐含层的维数
  • num_layers: 隐含层的层数
  • batch_first: ·True 指定输入的参数顺序为：
    • x：[batch, seq_len, input_size]
    • h0：[batch, num_layers, hidden_size]

• RNN 的输入：

  • x：[seq_len, batch, input_size]
    • seq_len: 输入的序列长度
    • batch: batch size 批大小
  • h0：[num_layers, batch, hidden_size]

• RNN 的输出：

  • y: [seq_len, batch, hidden_size]

---

---

• 实战之预测 正弦曲线：以下会以此为例，演示 RNN 预测任务的部署
  

  • 步骤一：确定 RNN Layer 相关参数值并基于此创建 Net

    import numpy as np
    from matplotlib import pyplot as pltimport torch
    import torch.nn as nn
    import torch.optim as optimseq_len     = 50
    batch       = 1
    num_time_steps = seq_leninput_size  = 1
    output_size = input_size
    hidden_size = 10  	
    num_layers = 1  	
    batch_first = True class Net(nn.Module):  ## model 定义def __init__(self):super(Net, self).__init__()self.rnn = nn.RNN(input_size=input_size,hidden_size=hidden_size,num_layers=num_layers,batch_first=batch_first)# for p in self.rnn.parameters():# 	nn.init.normal_(p, mean=0.0, std=0.001)self.linear = nn.Linear(hidden_size, output_size)def forward(self, x, hidden_prev):out, hidden_prev = self.rnn(x, hidden_prev)# out: [batch, seq_len, hidden_size]out = out.view(-1, hidden_size)  # [batch*seq_len, hidden_size]out = self.linear(out) 			 # [batch*seq_len, output_size]out = out.unsqueeze(dim=0)    # [1, batch*seq_len, output_size]return out, hidden_prev
    

  • 步骤二：确定 训练流程

    lr=0.01def tarin_RNN():model = Net()print('model:\n',model)criterion = nn.MSELoss()optimizer = optim.Adam(model.parameters(), lr)hidden_prev = torch.zeros(num_layers, batch, hidden_size)  #初始化hl = []for iter in range(100):  # 训练100次start = np.random.randint(10, size=1)[0]  ## 序列起点time_steps = np.linspace(start, start+10, num_time_steps)  ## 序列data = np.sin(time_steps).reshape(num_time_steps, 1)  ## 序列数据x = torch.tensor(data[:-1]).float().view(batch, seq_len-1, input_size)y = torch.tensor(data[1: ]).float().view(batch, seq_len-1, input_size)  # 目标为预测一个新的点output, hidden_prev = model(x, hidden_prev)hidden_prev = hidden_prev.detach()  ## 最后一层隐藏层的状态要 detachloss = criterion(output, y)model.zero_grad()loss.backward()optimizer.step()if iter % 100 == 0:print("Iteration: {} loss {}".format(iter, loss.item()))l.append(loss.item())#############################绘制损失函数#################################plt.plot(l,'r')plt.xlabel('训练次数')plt.ylabel('loss')plt.title('RNN LOSS')plt.savefig('RNN_LOSS.png')return hidden_prev,modelhidden_prev,model = tarin_RNN()
    

  • 步骤三：测试训练结果

    start = np.random.randint(3, size=1)[0]  ## 序列起点
    time_steps = np.linspace(start, start+10, num_time_steps)  ## 序列
    data = np.sin(time_steps).reshape(num_time_steps, 1)  ## 序列数据
    x = torch.tensor(data[:-1]).float().view(batch, seq_len-1, input_size)
    y = torch.tensor(data[1: ]).float().view(batch, seq_len-1, input_size)  # 目标为预测一个新的点    predictions = []  ## 预测结果
    input = x[:,0,:]
    for _ in range(x.shape[1]):input = input.view(1, 1, 1)pred, hidden_prev = model(input, hidden_prev)input = pred  ## 循环获得每个input点输入网络predictions.append(pred.detach().numpy()[0])
    x= x.data.numpy()
    y = y.data.numpy( )
    plt.scatter(time_steps[:-1], x.squeeze(), s=90)
    plt.plot(time_steps[:-1], x.squeeze())
    plt.scatter(time_steps[1:],predictions)  ## 黄色为预测
    plt.show()
    

    

---

【高阶】上述例子比较简单，便于入门以推理到自己的目标任务，实际 RNN 训练可能更有难度，可以添加

• 对于梯度爆炸的解决：

  for p in model.parameters()"p.grad.nomr()torch.nn.utils.clip_grad_norm_(p， 10)  ## 其中的 norm 后面的_ 表示 in place
  

• 对于梯度消失的解决：-> LSTM

---

• 另一个很好的实例关于飞行轨迹预测- - RNN-博客链接，可供学习参考
• B站视频参考资料