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typo in K_j^2 for online softmax flash attn #52

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2 changes: 1 addition & 1 deletion transformers.md
Original file line number Diff line number Diff line change
Expand Up @@ -409,7 +409,7 @@ The max is subtracted for numerical stability and can be added without affecting

$$L^1 = \sum_i \exp(Q \cdot K_i^1 - \max_j Q \cdot K_j^1)$$

$$L^2 = \sum_i \exp(Q \cdot K_i^2 - \max_j Q \cdot K_j^1)$$
$$L^2 = \sum_i \exp(Q \cdot K_i^2 - \max_j Q \cdot K_j^2)$$

Then we can combine these into the full softmax sum for these two chunks together by using

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