Scaled dot-product attention is an attention mechanism where the dot products are scaled down by $\sqrt{d_k}$. Formally we have a query $Q$, a key $K$ and a value $V$ and calculate the attention as:
$$ {\text{Attention}}(Q, K, V) = \text{softmax}\left(\frac{QK^{T}}{\sqrt{d_k}}\right)V $$
If we assume that $q$ and $k$ are $d_k$-dimensional vectors whose components are independent random variables with mean $0$ and variance $1$, then their dot product, $q \cdot k = \sum_{i=1}^{d_k} u_iv_i$, has mean $0$ and variance $d_k$. Since we would prefer these values to have variance $1$, we divide by $\sqrt{d_k}$.
Source: Attention Is All You NeedPaper | Code | Results | Date | Stars |
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Task | Papers | Share |
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Language Modelling | 51 | 6.75% |
Retrieval | 40 | 5.30% |
Question Answering | 31 | 4.11% |
Large Language Model | 27 | 3.58% |
Decoder | 19 | 2.52% |
Semantic Segmentation | 17 | 2.25% |
Text Generation | 14 | 1.85% |
Classification | 14 | 1.85% |
Sentence | 14 | 1.85% |