Applies a multi-layer gated recurrent unit (GRU) RNN to an input sequence.
For each element in the input sequence, each layer computes the following function:
nn_gru( input_size, hidden_size, num_layers = 1, bias = TRUE, batch_first = FALSE, dropout = 0, bidirectional = FALSE, ... )
input_size |
The number of expected features in the input |
hidden_size |
The number of features in the hidden state |
num_layers |
Number of recurrent layers. E.g., setting |
bias |
If |
batch_first |
If |
dropout |
If non-zero, introduces a |
bidirectional |
If |
... |
currently unused. |
\begin{array}{ll} r_t = σ(W_{ir} x_t + b_{ir} + W_{hr} h_{(t-1)} + b_{hr}) \\ z_t = σ(W_{iz} x_t + b_{iz} + W_{hz} h_{(t-1)} + b_{hz}) \\ n_t = \tanh(W_{in} x_t + b_{in} + r_t (W_{hn} h_{(t-1)}+ b_{hn})) \\ h_t = (1 - z_t) n_t + z_t h_{(t-1)} \end{array}
where h_t is the hidden state at time t
, x_t is the input
at time t
, h_{(t-1)} is the hidden state of the previous layer
at time t-1
or the initial hidden state at time 0
, and r_t,
z_t, n_t are the reset, update, and new gates, respectively.
σ is the sigmoid function.
Inputs: input, h_0
input of shape (seq_len, batch, input_size)
: tensor containing the features
of the input sequence. The input can also be a packed variable length
sequence. See nn_utils_rnn_pack_padded_sequence()
for details.
h_0 of shape (num_layers * num_directions, batch, hidden_size)
: tensor
containing the initial hidden state for each element in the batch.
Defaults to zero if not provided.
Outputs: output, h_n
output of shape (seq_len, batch, num_directions * hidden_size)
: tensor
containing the output features h_t from the last layer of the GRU,
for each t. If a PackedSequence
has been
given as the input, the output will also be a packed sequence.
For the unpacked case, the directions can be separated
using output$view(c(seq_len, batch, num_directions, hidden_size))
,
with forward and backward being direction 0
and 1
respectively.
Similarly, the directions can be separated in the packed case.
h_n of shape (num_layers * num_directions, batch, hidden_size)
: tensor
containing the hidden state for t = seq_len
Like output, the layers can be separated using
h_n$view(num_layers, num_directions, batch, hidden_size)
.
weight_ih_l[k]
: the learnable input-hidden weights of the \mbox{k}^{th} layer
(W_ir|W_iz|W_in), of shape (3*hidden_size x input_size)
weight_hh_l[k]
: the learnable hidden-hidden weights of the \mbox{k}^{th} layer
(W_hr|W_hz|W_hn), of shape (3*hidden_size x hidden_size)
bias_ih_l[k]
: the learnable input-hidden bias of the \mbox{k}^{th} layer
(b_ir|b_iz|b_in), of shape (3*hidden_size)
bias_hh_l[k]
: the learnable hidden-hidden bias of the \mbox{k}^{th} layer
(b_hr|b_hz|b_hn), of shape (3*hidden_size)
All the weights and biases are initialized from \mathcal{U}(-√{k}, √{k}) where k = \frac{1}{\mbox{hidden\_size}}
if (torch_is_installed()) { rnn <- nn_gru(10, 20, 2) input <- torch_randn(5, 3, 10) h0 <- torch_randn(2, 3, 20) output <- rnn(input, h0) }
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