The Connectionist Temporal Classification loss.
Calculates loss between a continuous (unsegmented) time series and a target sequence. CTCLoss sums over the probability of possible alignments of input to target, producing a loss value which is differentiable with respect to each input node. The alignment of input to target is assumed to be "many-to-one", which limits the length of the target sequence such that it must be ≤q the input length.
nn_ctc_loss(blank = 0, reduction = "mean", zero_infinity = FALSE)
blank |
(int, optional): blank label. Default 0. |
reduction |
(string, optional): Specifies the reduction to apply to the output:
|
zero_infinity |
(bool, optional):
Whether to zero infinite losses and the associated gradients.
Default: |
Log_probs: Tensor of size (T, N, C), where T = \mbox{input length}, N = \mbox{batch size}, and C = \mbox{number of classes (including blank)}. The logarithmized probabilities of the outputs (e.g. obtained with [nnf)log_softmax()]).
Targets: Tensor of size (N, S) or (\mbox{sum}(\mbox{target\_lengths})), where N = \mbox{batch size} and S = \mbox{max target length, if shape is } (N, S). It represent the target sequences. Each element in the target sequence is a class index. And the target index cannot be blank (default=0). In the (N, S) form, targets are padded to the length of the longest sequence, and stacked. In the (\mbox{sum}(\mbox{target\_lengths})) form, the targets are assumed to be un-padded and concatenated within 1 dimension.
Input_lengths: Tuple or tensor of size (N), where N = \mbox{batch size}. It represent the lengths of the inputs (must each be ≤q T). And the lengths are specified for each sequence to achieve masking under the assumption that sequences are padded to equal lengths.
Target_lengths: Tuple or tensor of size (N),
where N = \mbox{batch size}. It represent lengths of the targets.
Lengths are specified for each sequence to achieve masking under the
assumption that sequences are padded to equal lengths. If target shape is
(N,S), target_lengths are effectively the stop index
s_n for each target sequence, such that target_n = targets[n,0:s_n]
for
each target in a batch. Lengths must each be ≤q S
If the targets are given as a 1d tensor that is the concatenation of individual
targets, the target_lengths must add up to the total length of the tensor.
Output: scalar. If reduction
is 'none'
, then
(N), where N = \mbox{batch size}.
[nnf)log_softmax()]: R:nnf)log_softmax() [n,0:s_n]: R:n,0:s_n
In order to use CuDNN, the following must be satisfied: targets
must be
in concatenated format, all input_lengths
must be T
. blank=0,
target_lengths
≤q 256, the integer arguments must be of
The regular implementation uses the (more common in PyTorch) torch_long
dtype.
dtype torch_int32
.
In some circumstances when using the CUDA backend with CuDNN, this operator
may select a nondeterministic algorithm to increase performance. If this is
undesirable, you can try to make the operation deterministic (potentially at
a performance cost) by setting torch.backends.cudnn.deterministic = TRUE
.
A. Graves et al.: Connectionist Temporal Classification: Labelling Unsegmented Sequence Data with Recurrent Neural Networks: https://www.cs.toronto.edu/~graves/icml_2006.pdf
if (torch_is_installed()) { # Target are to be padded T <- 50 # Input sequence length C <- 20 # Number of classes (including blank) N <- 16 # Batch size S <- 30 # Target sequence length of longest target in batch (padding length) S_min <- 10 # Minimum target length, for demonstration purposes # Initialize random batch of input vectors, for *size = (T,N,C) input <- torch_randn(T, N, C)$log_softmax(2)$detach()$requires_grad_() # Initialize random batch of targets (0 = blank, 1:C = classes) target <- torch_randint(low=1, high=C, size=c(N, S), dtype=torch_long()) input_lengths <- torch_full(size=c(N), fill_value=TRUE, dtype=torch_long()) target_lengths <- torch_randint(low=S_min, high=S, size=c(N), dtype=torch_long()) ctc_loss <- nn_ctc_loss() loss <- ctc_loss(input, target, input_lengths, target_lengths) loss$backward() # Target are to be un-padded T <- 50 # Input sequence length C <- 20 # Number of classes (including blank) N <- 16 # Batch size # Initialize random batch of input vectors, for *size = (T,N,C) input <- torch_randn(T, N, C)$log_softmax(2)$detach()$requires_grad_() input_lengths <- torch_full(size=c(N), fill_value=TRUE, dtype=torch_long()) # Initialize random batch of targets (0 = blank, 1:C = classes) target_lengths <- torch_randint(low=1, high=T, size=c(N), dtype=torch_long()) target <- torch_randint(low=1, high=C, size=as.integer(sum(target_lengths)), dtype=torch_long()) ctc_loss <- nn_ctc_loss() loss <- ctc_loss(input, target, input_lengths, target_lengths) loss$backward() }
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