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 \(\leq\) the input length.

## Arguments

- blank
(int, optional): blank label. Default \(0\).

- reduction
(string, optional): Specifies the reduction to apply to the output:

`'none'`

|`'mean'`

|`'sum'`

.`'none'`

: no reduction will be applied,`'mean'`

: the output losses will be divided by the target lengths and then the mean over the batch is taken. Default:`'mean'`

- zero_infinity
(bool, optional): Whether to zero infinite losses and the associated gradients. Default:

`FALSE`

Infinite losses mainly occur when the inputs are too short to be aligned to the targets.

## Note

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`

\(\leq 256\), 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`

.

## Shape

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 \(\leq T\)). 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 \(\leq S\) 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

## References

A. Graves et al.: Connectionist Temporal Classification: Labelling Unsegmented Sequence Data with Recurrent Neural Networks: https://www.cs.toronto.edu/~graves/icml_2006.pdf

## Examples

```
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()
}
```