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[Pallas] Support Flash Attention backward kernels #6870
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if we do the fwd and do
res.backwardthen check the grad on q they should match?There was a problem hiding this comment.
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The softmax is done differently. I don't think there is any guarantees.
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result should still be somewhat close right? we can tune down the precision. If the result return by this is dramatically different than the one that was computed using dot attention that seems wrong..
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https://pytorch.org/docs/stable/generated/torch.nn.Softmax.html
Softmax requires all the elements to produce the results, but flash attention chunks the data into blocks and use a technique called tiling to make sure the softmax still serve the functionality to stable the data. Since there are no aggregation, I don't know how the tiling softmax could produce the same results as the regular one.
In JAX, I have to use
atol=1e-01, rtol=1e-01to do the comparisons...