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rmsle, | ||
ssim | ||
) | ||
from pytorch_lightning.metrics.functional.self_supervised import ( | ||
embedding_similarity | ||
) |
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import torch | ||
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def embedding_similarity( | ||
batch: torch.Tensor, | ||
similarity: str = 'cosine', | ||
reduction: str = 'none', | ||
zero_diagonal: bool = True | ||
) -> torch.Tensor: | ||
""" | ||
Computes representation similarity | ||
Example: | ||
>>> embeddings = torch.tensor([[1., 2., 3., 4.], [1., 2., 3., 4.], [4., 5., 6., 7.]]) | ||
>>> embedding_similarity(embeddings) | ||
tensor([[0.0000, 1.0000, 0.9759], | ||
[1.0000, 0.0000, 0.9759], | ||
[0.9759, 0.9759, 0.0000]]) | ||
Args: | ||
batch: (batch, dim) | ||
similarity: 'dot' or 'cosine' | ||
reduction: 'none', 'sum', 'mean' (all along dim -1) | ||
zero_diagonal: if True, the diagonals are set to zero | ||
Return: | ||
A square matrix (batch, batch) with the similarity scores between all elements | ||
If sum or mean are used, then returns (b, 1) with the reduced value for each row | ||
""" | ||
if similarity == 'cosine': | ||
norm = torch.norm(batch, p=2, dim=1) | ||
batch = batch / norm.unsqueeze(1) | ||
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sqr_mtx = batch.mm(batch.transpose(1, 0)) | ||
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if zero_diagonal: | ||
sqr_mtx = sqr_mtx.fill_diagonal_(0) | ||
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if reduction == 'mean': | ||
sqr_mtx = sqr_mtx.mean(dim=-1) | ||
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return sqr_mtx | ||
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if __name__ == '__main__': | ||
a = torch.rand(3, 5) | ||
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print(embedding_similarity(a, 'cosine')) |