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| from typing import Optional |
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| import torch |
| from torch import Tensor |
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|
| def _check_shape_and_type_consistency(preds: Tensor, target: Tensor) -> None: |
| """Check shape and type consistency of input vectors. |
| |
| Args: |
| preds: |
| Logits or a unnormalized score assigned to each token in a sequence with shape [batch_size, seq_len, |
| vocab_size]. Scores will be normalized internally using softmax. |
| target: |
| Ground truth values with a shape [batch_size, seq_len]. |
| |
| Raises: |
| ValueError: |
| If ``preds`` tensor has no 3 dimensions. |
| ValueError: |
| If ``target`` tensor has no 2 dimensions. |
| ValueError: |
| If the first two dimensions of ``preds`` and ``target`` do not equal. |
| TypeError: |
| If ``preds`` dtype is not one of ``(torch.float16, torch.float32, torch.float64)`` |
| TypeError: |
| If ``target`` is not of a type LongTensor (torch.int64) |
| |
| """ |
| if len(preds.shape) != 3: |
| raise ValueError( |
| "Input tensor `preds` is expected to have 3 dimensions, [batch_size, seq_len, vocab_size]," |
| f" but got {len(preds.shape)}." |
| ) |
| if len(target.shape) != 2: |
| raise ValueError( |
| "Input tensor `target` is expected to have 2 dimensions, [batch_size, seq_len]," |
| f" but got {len(target.shape)}." |
| ) |
| if preds.shape[:2] != target.shape: |
| raise ValueError( |
| "Input tensors `preds` and `target` are expected to have equaling first two dimensions," |
| f" [batch_size, seq_len], but got {preds.shape[:2]} and {target.shape}." |
| ) |
| if not preds.is_floating_point(): |
| raise TypeError(f"Input tensor `preds` is expected to be of floating point type but got {preds.dtype}.") |
| if target.dtype != torch.int64: |
| raise TypeError(f"Input tensor `target` is expected to be of a type {torch.int64} but got {target.dtype}.") |
|
|
|
|
| def _perplexity_update(preds: Tensor, target: Tensor, ignore_index: Optional[int] = None) -> tuple[Tensor, Tensor]: |
| """Compute intermediate statistics for Perplexity. |
| |
| Args: |
| preds: |
| Logits or a unnormalized score assigned to each token in a sequence with shape [batch_size, seq_len, |
| vocab_size]. Scores will be normalized internally using softmax. |
| target: |
| Ground truth values with a shape [batch_size, seq_len]. |
| ignore_index: |
| Integer specifying a target class to ignore. If given, this class index does not contribute |
| to the returned score. |
| |
| Returns: |
| Log probabilities, summed over all samples |
| Number of samples |
| |
| """ |
| _check_shape_and_type_consistency(preds, target) |
|
|
| probs = torch.nn.functional.softmax(preds.reshape(-1, preds.shape[-1]), dim=1) |
| target = target.reshape(-1) |
|
|
| if ignore_index is not None: |
| mask = target.ne(ignore_index) |
| target = target.where(target != ignore_index, torch.tensor(0, device=target.device)) |
| else: |
| mask = torch.ones_like(target, dtype=torch.bool) |
|
|
| probs = probs[torch.arange(target.numel()), target][mask] |
| total_log_probs = -probs.log().sum() |
| count = mask.sum() |
|
|
| return total_log_probs, count |
|
|
|
|
| def _perplexity_compute(total: Tensor, count: Tensor) -> Tensor: |
| """Compute the Perplexity. |
| |
| Args: |
| total: Log probabilities, summed over all samples |
| count: Number of samples |
| Returns: |
| Perplexity |
| |
| """ |
| return torch.exp(total / count) |
|
|
|
|
| def perplexity(preds: Tensor, target: Tensor, ignore_index: Optional[int] = None) -> Tensor: |
| """Perplexity measures how well a language model predicts a text sample. |
| |
| This metric is calculated as the average number of bits per word a model needs to represent the sample. |
| |
| Args: |
| preds: |
| Logits or a unnormalized score assigned to each token in a sequence with shape [batch_size, seq_len, |
| vocab_size], which is the output of a language model. Scores will be normalized internally using softmax. |
| target: |
| Ground truth values with a shape [batch_size, seq_len]. |
| ignore_index: |
| Integer specifying a target class to ignore. If given, this class index does not contribute |
| to the returned score. |
| |
| Returns: |
| Perplexity value |
| |
| Examples: |
| >>> from torch import rand, randint |
| >>> preds = rand(2, 8, 5) |
| >>> target = randint(5, (2, 8)) |
| >>> target[0, 6:] = -100 |
| >>> perplexity(preds, target, ignore_index=-100) |
| tensor(5.8540) |
| |
| """ |
| total, count = _perplexity_update(preds, target, ignore_index) |
| return _perplexity_compute(total, count) |
|
|