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LSTMCell

class torch.nn.LSTMCell(input_size: int, hidden_size: int, bias: bool = True)[source]

A long short-term memory (LSTM) cell.

i=σ(Wiix+bii+Whih+bhi)f=σ(Wifx+bif+Whfh+bhf)g=tanh(Wigx+big+Whgh+bhg)o=σ(Wiox+bio+Whoh+bho)c=fc+igh=otanh(c)\begin{array}{ll} i = \sigma(W_{ii} x + b_{ii} + W_{hi} h + b_{hi}) \\ f = \sigma(W_{if} x + b_{if} + W_{hf} h + b_{hf}) \\ g = \tanh(W_{ig} x + b_{ig} + W_{hg} h + b_{hg}) \\ o = \sigma(W_{io} x + b_{io} + W_{ho} h + b_{ho}) \\ c' = f * c + i * g \\ h' = o * \tanh(c') \\ \end{array}

where σ\sigma is the sigmoid function, and * is the Hadamard product.

Parameters
  • input_size – The number of expected features in the input x

  • hidden_size – The number of features in the hidden state h

  • bias – If False, then the layer does not use bias weights b_ih and b_hh. Default: True

Inputs: input, (h_0, c_0)
  • input of shape (batch, input_size): tensor containing input features

  • h_0 of shape (batch, hidden_size): tensor containing the initial hidden state for each element in the batch.

  • c_0 of shape (batch, hidden_size): tensor containing the initial cell state for each element in the batch.

    If (h_0, c_0) is not provided, both h_0 and c_0 default to zero.

Outputs: (h_1, c_1)
  • h_1 of shape (batch, hidden_size): tensor containing the next hidden state for each element in the batch

  • c_1 of shape (batch, hidden_size): tensor containing the next cell state for each element in the batch

Variables
  • ~LSTMCell.weight_ih – the learnable input-hidden weights, of shape (4*hidden_size, input_size)

  • ~LSTMCell.weight_hh – the learnable hidden-hidden weights, of shape (4*hidden_size, hidden_size)

  • ~LSTMCell.bias_ih – the learnable input-hidden bias, of shape (4*hidden_size)

  • ~LSTMCell.bias_hh – the learnable hidden-hidden bias, of shape (4*hidden_size)

Note

All the weights and biases are initialized from U(k,k)\mathcal{U}(-\sqrt{k}, \sqrt{k}) where k=1hidden_sizek = \frac{1}{\text{hidden\_size}}

Examples:

>>> rnn = nn.LSTMCell(10, 20)
>>> input = torch.randn(6, 3, 10)
>>> hx = torch.randn(3, 20)
>>> cx = torch.randn(3, 20)
>>> output = []
>>> for i in range(6):
        hx, cx = rnn(input[i], (hx, cx))
        output.append(hx)

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